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v0.2.0/user_guide/how-to-use.html create mode 100644 v0.2.0/user_guide/jacobian.html create mode 100644 v0.2.0/versions.html diff --git a/latest b/latest index 9ff151c5..81fd7ba0 120000 --- a/latest +++ b/latest @@ -1 +1 @@ -v0.1.0 \ No newline at end of file +v0.2.0 \ No newline at end of file diff --git a/v0.2.0/.buildinfo b/v0.2.0/.buildinfo new file mode 100644 index 00000000..942c62ff --- /dev/null +++ b/v0.2.0/.buildinfo @@ -0,0 +1,4 @@ +# Sphinx build info version 1 +# This file hashes the configuration used when building these files. When it is not found, a full rebuild will be done. +config: 12abd65b70de0084620f26bf724ceadc +tags: 645f666f9bcd5a90fca523b33c5a78b7 diff --git a/v0.2.0/_downloads/0cd804d4bb1b789ed7d110b2910079bf/jacobian.ipynb b/v0.2.0/_downloads/0cd804d4bb1b789ed7d110b2910079bf/jacobian.ipynb new file mode 100644 index 00000000..226f929f --- /dev/null +++ b/v0.2.0/_downloads/0cd804d4bb1b789ed7d110b2910079bf/jacobian.ipynb @@ -0,0 +1,252 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "08d80a51", + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-09T23:05:54.730065Z", + "iopub.status.busy": "2024-04-09T23:05:54.729873Z", + "iopub.status.idle": "2024-04-09T23:05:54.952910Z", + "shell.execute_reply": "2024-04-09T23:05:54.952286Z" + } + }, + "outputs": [], + "source": [ + "import numba\n", + "import numpy as np\n", + "from choclo.prism import gravity_u\n", + "\n", + "@numba.jit(nopython=True, parallel=True)\n", + "def build_jacobian(coordinates, prisms):\n", + " \"\"\"\n", + " Build a sensitivity matrix for gravity_u of a prism\n", + " \"\"\"\n", + " # Unpack coordinates of the observation points\n", + " easting, northing, upward = coordinates[:]\n", + " # Initialize an empty 2d array for the sensitivity matrix\n", + " n_coords = easting.size\n", + " n_prisms = prisms.shape[0]\n", + " jacobian = np.empty((n_coords, n_prisms), dtype=np.float64)\n", + " # Compute the gravity_u field that each prism generate on every observation\n", + " # point, considering that they have a unit density\n", + " for i in numba.prange(len(easting)):\n", + " for j in range(prisms.shape[0]):\n", + " jacobian[i, j] = gravity_u(\n", + " easting[i],\n", + " northing[i],\n", + " upward[i],\n", + " prisms[j, 0],\n", + " prisms[j, 1],\n", + " prisms[j, 2],\n", + " prisms[j, 3],\n", + " prisms[j, 4],\n", + " prisms[j, 5],\n", + " 1.0,\n", + " )\n", + " return jacobian" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "c1b2c50d", + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-09T23:05:54.955476Z", + "iopub.status.busy": "2024-04-09T23:05:54.955085Z", + "iopub.status.idle": "2024-04-09T23:05:54.958839Z", + "shell.execute_reply": "2024-04-09T23:05:54.958383Z" + } + }, + "outputs": [], + "source": [ + "easting = np.linspace(-5.0, 5.0, 21)\n", + "northing = np.linspace(-4.0, 4.0, 21)\n", + "easting, northing = np.meshgrid(easting, northing)\n", + "upward = 10 * np.ones_like(easting)\n", + "\n", + "coordinates = (easting.ravel(), northing.ravel(), upward.ravel())" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "e0fc3135", + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-09T23:05:54.960767Z", + "iopub.status.busy": "2024-04-09T23:05:54.960574Z", + "iopub.status.idle": "2024-04-09T23:05:54.963860Z", + "shell.execute_reply": "2024-04-09T23:05:54.963379Z" + } + }, + "outputs": [], + "source": [ + "prisms = np.array(\n", + " [\n", + " [-10.0, 0.0, -7.0, 0.0, -15.0, -10.0],\n", + " [-10.0, 0.0, 0.0, 7.0, -25.0, -15.0],\n", + " [0.0, 10.0, -7.0, 0.0, -20.0, -13.0],\n", + " [0.0, 10.0, 0.0, 7.0, -12.0, -8.0],\n", + " ]\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "16350ae8", + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-09T23:05:54.965756Z", + "iopub.status.busy": "2024-04-09T23:05:54.965566Z", + "iopub.status.idle": "2024-04-09T23:05:56.508938Z", + "shell.execute_reply": "2024-04-09T23:05:56.508360Z" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[-4.49966911e-11, -4.76014375e-11, -3.80054986e-11,\n", + " -2.83231448e-11],\n", + " [-4.49659418e-11, -4.75828152e-11, -3.86898648e-11,\n", + " -2.90433576e-11],\n", + " [-4.48738920e-11, -4.75270202e-11, -3.93578743e-11,\n", + " -2.97540033e-11],\n", + " ...,\n", + " [-3.19387365e-11, -4.58884222e-11, -4.10526880e-11,\n", + " -4.48751701e-11],\n", + " [-3.12924999e-11, -4.52460654e-11, -4.11114162e-11,\n", + " -4.49880072e-11],\n", + " [-3.06338007e-11, -4.45849449e-11, -4.11310225e-11,\n", + " -4.50257165e-11]])" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "jacobian = build_jacobian(coordinates, prisms)\n", + "jacobian" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "386d6302", + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-09T23:05:56.511716Z", + "iopub.status.busy": "2024-04-09T23:05:56.511507Z", + "iopub.status.idle": "2024-04-09T23:05:56.514816Z", + "shell.execute_reply": "2024-04-09T23:05:56.514379Z" + } + }, + "outputs": [], + "source": [ + "# Define densities for the prisms\n", + "densities = np.array([200.0, 300.0, -100.0, 400.0])\n", + "\n", + "# Compute result\n", + "g_u = jacobian @ densities" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "d99cae20", + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-09T23:05:56.516813Z", + "iopub.status.busy": "2024-04-09T23:05:56.516481Z", + "iopub.status.idle": "2024-04-09T23:05:56.520556Z", + "shell.execute_reply": "2024-04-09T23:05:56.520095Z" + } + }, + "outputs": [], + "source": [ + "@numba.jit(nopython=True, parallel=True)\n", + "def gravity_upward_parallel(coordinates, prisms, densities):\n", + " \"\"\"\n", + " Compute the upward component of the acceleration of a set of prisms\n", + " \"\"\"\n", + " # Unpack coordinates of the observation points\n", + " easting, northing, upward = coordinates[:]\n", + " # Initialize a result array full of zeros\n", + " result = np.zeros_like(easting, dtype=np.float64)\n", + " # Compute the upward component that every prism generate on each\n", + " # observation point\n", + " for i in numba.prange(len(easting)):\n", + " for j in range(prisms.shape[0]):\n", + " result[i] += gravity_u(\n", + " easting[i],\n", + " northing[i],\n", + " upward[i],\n", + " prisms[j, 0],\n", + " prisms[j, 1],\n", + " prisms[j, 2],\n", + " prisms[j, 3],\n", + " prisms[j, 4],\n", + " prisms[j, 5],\n", + " densities[j],\n", + " )\n", + " return result" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "3fcca485", + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-09T23:05:56.522616Z", + "iopub.status.busy": "2024-04-09T23:05:56.522194Z", + "iopub.status.idle": "2024-04-09T23:05:57.132985Z", + "shell.execute_reply": "2024-04-09T23:05:57.132357Z" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "expected = gravity_upward_parallel(coordinates, prisms, densities)\n", + "np.allclose(g_u, expected)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.2" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} \ No newline at end of file diff --git a/v0.2.0/_downloads/21b045eb65658e7f0dbd75b01bedc72a/jacobian.py b/v0.2.0/_downloads/21b045eb65658e7f0dbd75b01bedc72a/jacobian.py new file mode 100644 index 00000000..32e4efd8 --- /dev/null +++ b/v0.2.0/_downloads/21b045eb65658e7f0dbd75b01bedc72a/jacobian.py @@ -0,0 +1,118 @@ +#!/usr/bin/env python +# coding: utf-8 + +# In[1]: + + +import numba +import numpy as np +from choclo.prism import gravity_u + +@numba.jit(nopython=True, parallel=True) +def build_jacobian(coordinates, prisms): + """ + Build a sensitivity matrix for gravity_u of a prism + """ + # Unpack coordinates of the observation points + easting, northing, upward = coordinates[:] + # Initialize an empty 2d array for the sensitivity matrix + n_coords = easting.size + n_prisms = prisms.shape[0] + jacobian = np.empty((n_coords, n_prisms), dtype=np.float64) + # Compute the gravity_u field that each prism generate on every observation + # point, considering that they have a unit density + for i in numba.prange(len(easting)): + for j in range(prisms.shape[0]): + jacobian[i, j] = gravity_u( + easting[i], + northing[i], + upward[i], + prisms[j, 0], + prisms[j, 1], + prisms[j, 2], + prisms[j, 3], + prisms[j, 4], + prisms[j, 5], + 1.0, + ) + return jacobian + + +# In[2]: + + +easting = np.linspace(-5.0, 5.0, 21) +northing = np.linspace(-4.0, 4.0, 21) +easting, northing = np.meshgrid(easting, northing) +upward = 10 * np.ones_like(easting) + +coordinates = (easting.ravel(), northing.ravel(), upward.ravel()) + + +# In[3]: + + +prisms = np.array( + [ + [-10.0, 0.0, -7.0, 0.0, -15.0, -10.0], + [-10.0, 0.0, 0.0, 7.0, -25.0, -15.0], + [0.0, 10.0, -7.0, 0.0, -20.0, -13.0], + [0.0, 10.0, 0.0, 7.0, -12.0, -8.0], + ] +) + + +# In[4]: + + +jacobian = build_jacobian(coordinates, prisms) +jacobian + + +# In[5]: + + +# Define densities for the prisms +densities = np.array([200.0, 300.0, -100.0, 400.0]) + +# Compute result +g_u = jacobian @ densities + + +# In[6]: + + +@numba.jit(nopython=True, parallel=True) +def gravity_upward_parallel(coordinates, prisms, densities): + """ + Compute the upward component of the acceleration of a set of prisms + """ + # Unpack coordinates of the observation points + easting, northing, upward = coordinates[:] + # Initialize a result array full of zeros + result = np.zeros_like(easting, dtype=np.float64) + # Compute the upward component that every prism generate on each + # observation point + for i in numba.prange(len(easting)): + for j in range(prisms.shape[0]): + result[i] += gravity_u( + easting[i], + northing[i], + upward[i], + prisms[j, 0], + prisms[j, 1], + prisms[j, 2], + prisms[j, 3], + prisms[j, 4], + prisms[j, 5], + densities[j], + ) + return result + + +# In[7]: + + +expected = gravity_upward_parallel(coordinates, prisms, densities) +np.allclose(g_u, expected) + diff --git a/v0.2.0/_downloads/313b8b90999108adb84ffcf2515619aa/overview.ipynb b/v0.2.0/_downloads/313b8b90999108adb84ffcf2515619aa/overview.ipynb new file mode 100644 index 00000000..09f39759 --- /dev/null +++ b/v0.2.0/_downloads/313b8b90999108adb84ffcf2515619aa/overview.ipynb @@ -0,0 +1,227 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "167ed8c2", + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-09T23:05:29.935426Z", + "iopub.status.busy": "2024-04-09T23:05:29.935233Z", + "iopub.status.idle": "2024-04-09T23:05:30.911155Z", + "shell.execute_reply": "2024-04-09T23:05:30.910613Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "g_u: -4.63e-09 m s^(-2)\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "g_eu: 0.00e+00 s^(-2)\n", + "g_uu: 7.72e-10 s^(-2)\n" + ] + } + ], + "source": [ + "import choclo\n", + "\n", + "# Define a single point mass located 10 meters below the zero height\n", + "easting_m, northing_m, upward_m = 0., 0., -10.\n", + "mass = 1e4 # mass of the source in kg\n", + "\n", + "# Define coordinates of an observation point 2 meters above the zero height\n", + "easting, northing, upward = 0., 0., 2.\n", + "\n", + "# Compute the upward compont of the gravity acceleration the point mass\n", + "# generates on this observation point (in SI units)\n", + "g_u = choclo.point.gravity_u(\n", + " easting, northing, upward, easting_m, northing_m, upward_m, mass\n", + ")\n", + "print(f\"g_u: {g_u:.2e} m s^(-2)\")\n", + "\n", + "# Compute gravity tensor components (in SI units)\n", + "g_eu = choclo.point.gravity_eu(\n", + " easting, northing, upward, easting_m, northing_m, upward_m, mass\n", + ")\n", + "g_uu = choclo.point.gravity_uu(\n", + " easting, northing, upward, easting_m, northing_m, upward_m, mass\n", + ")\n", + "print(f\"g_eu: {g_eu:.2e} s^(-2)\")\n", + "print(f\"g_uu: {g_uu:.2e} s^(-2)\")" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "80cab88e", + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-09T23:05:30.913457Z", + "iopub.status.busy": "2024-04-09T23:05:30.913046Z", + "iopub.status.idle": "2024-04-09T23:05:32.553528Z", + "shell.execute_reply": "2024-04-09T23:05:32.552978Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "g_u: -4.63e-07 m s^(-2)\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "g_nu: 2.14e-08 s^(-2)\n", + "g_ee: -3.47e-08 s^(-2)\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "\n", + "# Define a single rectangular prism through its boundaries\n", + "west, east, south, north, bottom, top = -1., 5., -4., 4., -20., -10.\n", + "density = 2900 # density of the prism in kg m^(-3)\n", + "\n", + "# Define coordinates of an observation point\n", + "easting, northing, upward = 1., 3., -1.\n", + "\n", + "# Compute the upward compont of the gravity acceleration the prism\n", + "# generates on this observation point (in SI units)\n", + "g_u = choclo.prism.gravity_u(\n", + " easting, northing, upward, west, east, south, north, bottom, top, density,\n", + ")\n", + "print(f\"g_u: {g_u:.2e} m s^(-2)\")\n", + "\n", + "# Compute gravity tensor components (in SI units)\n", + "g_nu = choclo.prism.gravity_nu(\n", + " easting, northing, upward, west, east, south, north, bottom, top, density,\n", + ")\n", + "g_ee = choclo.prism.gravity_ee(\n", + " easting, northing, upward, west, east, south, north, bottom, top, density,\n", + ")\n", + "print(f\"g_nu: {g_nu:.2e} s^(-2)\")\n", + "print(f\"g_ee: {g_ee:.2e} s^(-2)\")" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "31dd262b", + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-09T23:05:32.555873Z", + "iopub.status.busy": "2024-04-09T23:05:32.555375Z", + "iopub.status.idle": "2024-04-09T23:05:32.685398Z", + "shell.execute_reply": "2024-04-09T23:05:32.684812Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "b_e: -6.07e-09 T\n", + "b_n: -2.13e-09 T\n", + "b_u: -1.64e-09 T\n" + ] + } + ], + "source": [ + "# Define the location of a dipole\n", + "easting_d, northing_d, upward_d = -4., 2., -1.\n", + "\n", + "# Define the magnetic moment vector of the dipole (in A m^2)\n", + "mag_moment_e, mag_moment_n, mag_moment_u = 1., 1., -2.\n", + "\n", + "# Define coordinates of an observation point\n", + "easting, northing, upward = -2., 2., 2.\n", + "\n", + "# Compute the magnetic field of the dipole on the observation point (in T)\n", + "b_e, b_n, b_u = choclo.dipole.magnetic_field(\n", + " easting,\n", + " northing,\n", + " upward,\n", + " easting_d,\n", + " northing_d,\n", + " upward_d,\n", + " mag_moment_e,\n", + " mag_moment_n,\n", + " mag_moment_u,\n", + ")\n", + "print(f\"b_e: {b_e:.2e} T\")\n", + "print(f\"b_n: {b_n:.2e} T\")\n", + "print(f\"b_u: {b_u:.2e} T\")" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "9ad8f258", + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-09T23:05:32.687488Z", + "iopub.status.busy": "2024-04-09T23:05:32.687294Z", + "iopub.status.idle": "2024-04-09T23:05:33.247968Z", + "shell.execute_reply": "2024-04-09T23:05:33.247329Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "b_u: -4.71e-08 T\n" + ] + } + ], + "source": [ + "# Define a rectangular prism\n", + "west, east, south, north, bottom, top = -1., 5., -4., 4., -20., -10.\n", + "\n", + "# Define its magnetization vector (in A m^(-1))\n", + "m_e, m_n, m_u = 0.5, -1.5, -1.3\n", + "\n", + "# Define coordinates of an observation point\n", + "easting, northing, upward = 3., 0., -1.\n", + "\n", + "# Compute the upward component of the magnetic field of the prism (in T)\n", + "b_u = choclo.prism.magnetic_u(\n", + " easting, northing, upward, west, east, south, north, bottom, top, m_e, m_n, m_u,\n", + ")\n", + "print(f\"b_u: {b_u:.2e} T\")" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.2" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} \ No newline at end of file diff --git a/v0.2.0/_downloads/903b89fd3874d64d371a9beff7139999/how-to-use.ipynb b/v0.2.0/_downloads/903b89fd3874d64d371a9beff7139999/how-to-use.ipynb new file mode 100644 index 00000000..361f0964 --- /dev/null +++ b/v0.2.0/_downloads/903b89fd3874d64d371a9beff7139999/how-to-use.ipynb @@ -0,0 +1,428 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "0ff98ee4", + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-09T23:05:34.609281Z", + "iopub.status.busy": "2024-04-09T23:05:34.608814Z", + "iopub.status.idle": "2024-04-09T23:05:35.775384Z", + "shell.execute_reply": "2024-04-09T23:05:35.774752Z" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "-1.6539652880538094e-07" + ] + }, + "execution_count": 1, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import numpy as np\n", + "from choclo.prism import gravity_u\n", + "\n", + "# Define a single computation point\n", + "easting, northing, upward = 0.0, 0.0, 10.0\n", + "\n", + "# Define the boundaries of the prism as a list\n", + "prism = [-10.0, 10.0, -7.0, 7.0, -15.0, -5.0]\n", + "\n", + "# And its density\n", + "density = 400.0\n", + "\n", + "# Compute the upward component of the grav. acceleration\n", + "g_u = gravity_u(easting, northing, upward, *prism, density)\n", + "g_u" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "ccb45994", + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-09T23:05:35.777810Z", + "iopub.status.busy": "2024-04-09T23:05:35.777371Z", + "iopub.status.idle": "2024-04-09T23:05:35.780858Z", + "shell.execute_reply": "2024-04-09T23:05:35.780407Z" + } + }, + "outputs": [], + "source": [ + "prisms = np.array([\n", + " [-10.0, 0.0, -7.0, 0.0, -15.0, -10.0],\n", + " [-10.0, 0.0, 0.0, 7.0, -25.0, -15.0],\n", + " [0.0, 10.0, -7.0, 0.0, -20.0, -13.0],\n", + " [0.0, 10.0, 0.0, 7.0, -12.0, -8.0],\n", + "])\n", + "densities = np.array([200.0, 300.0, -100.0, 400.0])" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "677688df", + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-09T23:05:35.782810Z", + "iopub.status.busy": "2024-04-09T23:05:35.782486Z", + "iopub.status.idle": "2024-04-09T23:05:35.785934Z", + "shell.execute_reply": "2024-04-09T23:05:35.785470Z" + } + }, + "outputs": [], + "source": [ + "easting = np.linspace(-50.0, 50.0, 21)\n", + "northing = np.linspace(-40.0, 40.0, 21)\n", + "easting, northing = np.meshgrid(easting, northing)\n", + "upward = 10 * np.ones_like(easting)\n", + "\n", + "coordinates = (easting.ravel(), northing.ravel(), upward.ravel())" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "b3bf6895", + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-09T23:05:35.788005Z", + "iopub.status.busy": "2024-04-09T23:05:35.787611Z", + "iopub.status.idle": "2024-04-09T23:05:35.791549Z", + "shell.execute_reply": "2024-04-09T23:05:35.791071Z" + } + }, + "outputs": [], + "source": [ + "def gravity_upward_slow(coordinates, prisms, densities):\n", + " \"\"\"\n", + " Compute the upward component of the acceleration of a set of prisms\n", + " \"\"\"\n", + " # Unpack coordinates of the observation points\n", + " easting, northing, upward = coordinates[:]\n", + " # Initialize a result array full of zeros\n", + " result = np.zeros_like(easting, dtype=np.float64)\n", + " # Compute the upward component that every prism generate on each\n", + " # observation point\n", + " for i in range(len(easting)):\n", + " for j in range(prisms.shape[0]):\n", + " result[i] += gravity_u(\n", + " easting[i], northing[i], upward[i], *prisms[j, :], densities[j]\n", + " )\n", + " return result" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "389c2ffa", + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-09T23:05:35.793375Z", + "iopub.status.busy": "2024-04-09T23:05:35.793188Z", + "iopub.status.idle": "2024-04-09T23:05:35.802895Z", + "shell.execute_reply": "2024-04-09T23:05:35.802435Z" + } + }, + "outputs": [], + "source": [ + "g_u = gravity_upward_slow(coordinates, prisms, densities)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "59000754", + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-09T23:05:35.804747Z", + "iopub.status.busy": "2024-04-09T23:05:35.804564Z", + "iopub.status.idle": "2024-04-09T23:05:36.664462Z", + "shell.execute_reply": "2024-04-09T23:05:36.663938Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": { + "filenames": { + "image/png": "/home/runner/work/choclo/choclo/doc/_build/jupyter_execute/user_guide/how-to-use_5_0.png" + } + }, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "\n", + "plt.pcolormesh(easting, northing, g_u.reshape(easting.shape), shading='auto')\n", + "plt.gca().set_aspect(\"equal\")\n", + "plt.colorbar()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "f30d01fe", + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-09T23:05:36.666625Z", + "iopub.status.busy": "2024-04-09T23:05:36.666345Z", + "iopub.status.idle": "2024-04-09T23:05:37.259848Z", + "shell.execute_reply": "2024-04-09T23:05:37.259319Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": { + "filenames": { + "image/png": "/home/runner/work/choclo/choclo/doc/_build/jupyter_execute/user_guide/how-to-use_6_0.png" + } + }, + "output_type": "display_data" + } + ], + "source": [ + "import numba\n", + "\n", + "@numba.jit(nopython=True)\n", + "def gravity_upward_jit(coordinates, prisms, densities):\n", + " \"\"\"\n", + " Compute the upward component of the acceleration of a set of prisms\n", + " \"\"\"\n", + " # Unpack coordinates of the observation points\n", + " easting, northing, upward = coordinates[:]\n", + " # Initialize a result array full of zeros\n", + " result = np.zeros_like(easting, dtype=np.float64)\n", + " # Compute the upward component that every prism generate on each\n", + " # observation point\n", + " for i in range(len(easting)):\n", + " for j in range(prisms.shape[0]):\n", + " result[i] += gravity_u(\n", + " easting[i],\n", + " northing[i],\n", + " upward[i],\n", + " prisms[j, 0],\n", + " prisms[j, 1],\n", + " prisms[j, 2],\n", + " prisms[j, 3],\n", + " prisms[j, 4],\n", + " prisms[j, 5],\n", + " densities[j],\n", + " )\n", + " return result\n", + "\n", + "g_u = gravity_upward_jit(coordinates, prisms, densities)\n", + "\n", + "plt.pcolormesh(easting, northing, g_u.reshape(easting.shape), shading='auto')\n", + "plt.gca().set_aspect(\"equal\")\n", + "plt.colorbar()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "38493f81", + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-09T23:05:37.262157Z", + "iopub.status.busy": "2024-04-09T23:05:37.261689Z", + "iopub.status.idle": "2024-04-09T23:05:42.733410Z", + "shell.execute_reply": "2024-04-09T23:05:42.732789Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "6.74 ms ± 10.5 µs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n" + ] + } + ], + "source": [ + "%timeit gravity_upward_slow(coordinates, prisms, densities)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "f750ff28", + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-09T23:05:42.735464Z", + "iopub.status.busy": "2024-04-09T23:05:42.735258Z", + "iopub.status.idle": "2024-04-09T23:05:46.734065Z", + "shell.execute_reply": "2024-04-09T23:05:46.733412Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "492 µs ± 428 ns per loop (mean ± std. dev. of 7 runs, 1,000 loops each)\n" + ] + } + ], + "source": [ + "%timeit gravity_upward_jit(coordinates, prisms, densities)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "4ff3183d", + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-09T23:05:46.736109Z", + "iopub.status.busy": "2024-04-09T23:05:46.735910Z", + "iopub.status.idle": "2024-04-09T23:05:47.446174Z", + "shell.execute_reply": "2024-04-09T23:05:47.445574Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "filenames": { + "image/png": "/home/runner/work/choclo/choclo/doc/_build/jupyter_execute/user_guide/how-to-use_9_0.png" + } + }, + "output_type": "display_data" + } + ], + "source": [ + "@numba.jit(nopython=True, parallel=True)\n", + "def gravity_upward_parallel(coordinates, prisms, densities):\n", + " \"\"\"\n", + " Compute the upward component of the acceleration of a set of prisms\n", + " \"\"\"\n", + " # Unpack coordinates of the observation points\n", + " easting, northing, upward = coordinates[:]\n", + " # Initialize a result array full of zeros\n", + " result = np.zeros_like(easting, dtype=np.float64)\n", + " # Compute the upward component that every prism generate on each\n", + " # observation point\n", + " for i in numba.prange(len(easting)):\n", + " for j in range(prisms.shape[0]):\n", + " result[i] += gravity_u(\n", + " easting[i],\n", + " northing[i],\n", + " upward[i],\n", + " prisms[j, 0],\n", + " prisms[j, 1],\n", + " prisms[j, 2],\n", + " prisms[j, 3],\n", + " prisms[j, 4],\n", + " prisms[j, 5],\n", + " densities[j],\n", + " )\n", + " return result\n", + "\n", + "g_u = gravity_upward_parallel(coordinates, prisms, densities)\n", + "\n", + "plt.pcolormesh(easting, northing, g_u.reshape(easting.shape), shading='auto')\n", + "plt.gca().set_aspect(\"equal\")\n", + "plt.colorbar()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "cbcf404a", + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-09T23:05:47.448251Z", + "iopub.status.busy": "2024-04-09T23:05:47.448058Z", + "iopub.status.idle": "2024-04-09T23:05:51.445661Z", + "shell.execute_reply": "2024-04-09T23:05:51.445151Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "492 µs ± 476 ns per loop (mean ± std. dev. of 7 runs, 1,000 loops each)\n" + ] + } + ], + "source": [ + "%timeit gravity_upward_jit(coordinates, prisms, densities)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "56123325", + "metadata": { + "execution": { + "iopub.execute_input": "2024-04-09T23:05:51.447756Z", + "iopub.status.busy": "2024-04-09T23:05:51.447550Z", + "iopub.status.idle": "2024-04-09T23:05:53.177055Z", + "shell.execute_reply": "2024-04-09T23:05:53.176472Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "213 µs ± 3.42 µs per loop (mean ± std. dev. of 7 runs, 1,000 loops each)\n" + ] + } + ], + "source": [ + "%timeit gravity_upward_parallel(coordinates, prisms, densities)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.2" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} \ No newline at end of file diff --git a/v0.2.0/_downloads/cde25ab50cf916af92411d8e96a39f11/overview.py b/v0.2.0/_downloads/cde25ab50cf916af92411d8e96a39f11/overview.py new file mode 100644 index 00000000..77823c00 --- /dev/null +++ b/v0.2.0/_downloads/cde25ab50cf916af92411d8e96a39f11/overview.py @@ -0,0 +1,110 @@ +#!/usr/bin/env python +# coding: utf-8 + +# In[1]: + + +import choclo + +# Define a single point mass located 10 meters below the zero height +easting_m, northing_m, upward_m = 0., 0., -10. +mass = 1e4 # mass of the source in kg + +# Define coordinates of an observation point 2 meters above the zero height +easting, northing, upward = 0., 0., 2. + +# Compute the upward compont of the gravity acceleration the point mass +# generates on this observation point (in SI units) +g_u = choclo.point.gravity_u( + easting, northing, upward, easting_m, northing_m, upward_m, mass +) +print(f"g_u: {g_u:.2e} m s^(-2)") + +# Compute gravity tensor components (in SI units) +g_eu = choclo.point.gravity_eu( + easting, northing, upward, easting_m, northing_m, upward_m, mass +) +g_uu = choclo.point.gravity_uu( + easting, northing, upward, easting_m, northing_m, upward_m, mass +) +print(f"g_eu: {g_eu:.2e} s^(-2)") +print(f"g_uu: {g_uu:.2e} s^(-2)") + + +# In[2]: + + +import numpy as np + +# Define a single rectangular prism through its boundaries +west, east, south, north, bottom, top = -1., 5., -4., 4., -20., -10. +density = 2900 # density of the prism in kg m^(-3) + +# Define coordinates of an observation point +easting, northing, upward = 1., 3., -1. + +# Compute the upward compont of the gravity acceleration the prism +# generates on this observation point (in SI units) +g_u = choclo.prism.gravity_u( + easting, northing, upward, west, east, south, north, bottom, top, density, +) +print(f"g_u: {g_u:.2e} m s^(-2)") + +# Compute gravity tensor components (in SI units) +g_nu = choclo.prism.gravity_nu( + easting, northing, upward, west, east, south, north, bottom, top, density, +) +g_ee = choclo.prism.gravity_ee( + easting, northing, upward, west, east, south, north, bottom, top, density, +) +print(f"g_nu: {g_nu:.2e} s^(-2)") +print(f"g_ee: {g_ee:.2e} s^(-2)") + + +# In[3]: + + +# Define the location of a dipole +easting_d, northing_d, upward_d = -4., 2., -1. + +# Define the magnetic moment vector of the dipole (in A m^2) +mag_moment_e, mag_moment_n, mag_moment_u = 1., 1., -2. + +# Define coordinates of an observation point +easting, northing, upward = -2., 2., 2. + +# Compute the magnetic field of the dipole on the observation point (in T) +b_e, b_n, b_u = choclo.dipole.magnetic_field( + easting, + northing, + upward, + easting_d, + northing_d, + upward_d, + mag_moment_e, + mag_moment_n, + mag_moment_u, +) +print(f"b_e: {b_e:.2e} T") +print(f"b_n: {b_n:.2e} T") +print(f"b_u: {b_u:.2e} T") + + +# In[4]: + + +# Define a rectangular prism +west, east, south, north, bottom, top = -1., 5., -4., 4., -20., -10. + +# Define its magnetization vector (in A m^(-1)) +m_e, m_n, m_u = 0.5, -1.5, -1.3 + +# Define coordinates of an observation point +easting, northing, upward = 3., 0., -1. + +# Compute the upward component of the magnetic field of the prism (in T) +b_u = choclo.prism.magnetic_u( + easting, northing, upward, west, east, south, north, bottom, top, m_e, m_n, m_u, +) +print(f"b_u: {b_u:.2e} T") + diff --git a/v0.2.0/_downloads/f0fe17d026d810f45005805739fa5656/how-to-use.py b/v0.2.0/_downloads/f0fe17d026d810f45005805739fa5656/how-to-use.py new file mode 100644 index 00000000..209d6bdd --- /dev/null +++ b/v0.2.0/_downloads/f0fe17d026d810f45005805739fa5656/how-to-use.py @@ -0,0 +1,185 @@ +#!/usr/bin/env python +# coding: utf-8 + +# In[1]: + + +import numpy as np +from choclo.prism import gravity_u + +# Define a single computation point +easting, northing, upward = 0.0, 0.0, 10.0 + +# Define the boundaries of the prism as a list +prism = [-10.0, 10.0, -7.0, 7.0, -15.0, -5.0] + +# And its density +density = 400.0 + +# Compute the upward component of the grav. acceleration +g_u = gravity_u(easting, northing, upward, *prism, density) +g_u + + +# In[2]: + + +prisms = np.array([ + [-10.0, 0.0, -7.0, 0.0, -15.0, -10.0], + [-10.0, 0.0, 0.0, 7.0, -25.0, -15.0], + [0.0, 10.0, -7.0, 0.0, -20.0, -13.0], + [0.0, 10.0, 0.0, 7.0, -12.0, -8.0], +]) +densities = np.array([200.0, 300.0, -100.0, 400.0]) + + +# In[3]: + + +easting = np.linspace(-50.0, 50.0, 21) +northing = np.linspace(-40.0, 40.0, 21) +easting, northing = np.meshgrid(easting, northing) +upward = 10 * np.ones_like(easting) + +coordinates = (easting.ravel(), northing.ravel(), upward.ravel()) + + +# In[4]: + + +def gravity_upward_slow(coordinates, prisms, densities): + """ + Compute the upward component of the acceleration of a set of prisms + """ + # Unpack coordinates of the observation points + easting, northing, upward = coordinates[:] + # Initialize a result array full of zeros + result = np.zeros_like(easting, dtype=np.float64) + # Compute the upward component that every prism generate on each + # observation point + for i in range(len(easting)): + for j in range(prisms.shape[0]): + result[i] += gravity_u( + easting[i], northing[i], upward[i], *prisms[j, :], densities[j] + ) + return result + + +# In[5]: + + +g_u = gravity_upward_slow(coordinates, prisms, densities) + + +# In[6]: + + +import matplotlib.pyplot as plt + +plt.pcolormesh(easting, northing, g_u.reshape(easting.shape), shading='auto') +plt.gca().set_aspect("equal") +plt.colorbar() +plt.show() + + +# In[7]: + + +import numba + +@numba.jit(nopython=True) +def gravity_upward_jit(coordinates, prisms, densities): + """ + Compute the upward component of the acceleration of a set of prisms + """ + # Unpack coordinates of the observation points + easting, northing, upward = coordinates[:] + # Initialize a result array full of zeros + result = np.zeros_like(easting, dtype=np.float64) + # Compute the upward component that every prism generate on each + # observation point + for i in range(len(easting)): + for j in range(prisms.shape[0]): + result[i] += gravity_u( + easting[i], + northing[i], + upward[i], + prisms[j, 0], + prisms[j, 1], + prisms[j, 2], + prisms[j, 3], + prisms[j, 4], + prisms[j, 5], + densities[j], + ) + return result + +g_u = gravity_upward_jit(coordinates, prisms, densities) + +plt.pcolormesh(easting, northing, g_u.reshape(easting.shape), shading='auto') +plt.gca().set_aspect("equal") +plt.colorbar() +plt.show() + + +# In[8]: + + +get_ipython().run_line_magic('timeit', 'gravity_upward_slow(coordinates, prisms, densities)') + + +# In[9]: + + +get_ipython().run_line_magic('timeit', 'gravity_upward_jit(coordinates, prisms, densities)') + + +# In[10]: + + +@numba.jit(nopython=True, parallel=True) +def gravity_upward_parallel(coordinates, prisms, densities): + """ + Compute the upward component of the acceleration of a set of prisms + """ + # Unpack coordinates of the observation points + easting, northing, upward = coordinates[:] + # Initialize a result array full of zeros + result = np.zeros_like(easting, dtype=np.float64) + # Compute the upward component that every prism generate on each + # observation point + for i in numba.prange(len(easting)): + for j in range(prisms.shape[0]): + result[i] += gravity_u( + easting[i], + northing[i], + upward[i], + prisms[j, 0], + prisms[j, 1], + prisms[j, 2], + prisms[j, 3], + prisms[j, 4], + prisms[j, 5], + densities[j], + ) + return result + +g_u = gravity_upward_parallel(coordinates, prisms, densities) + +plt.pcolormesh(easting, northing, g_u.reshape(easting.shape), shading='auto') +plt.gca().set_aspect("equal") +plt.colorbar() +plt.show() + + +# In[11]: + + +get_ipython().run_line_magic('timeit', 'gravity_upward_jit(coordinates, prisms, densities)') + + +# In[12]: + + +get_ipython().run_line_magic('timeit', 'gravity_upward_parallel(coordinates, prisms, densities)') + diff --git a/v0.2.0/_images/choclo-logo.svg b/v0.2.0/_images/choclo-logo.svg new file mode 100644 index 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choclo.dipole._forward | Choclo v0.2.0 + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
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Source code for choclo.dipole._forward

+# Copyright (c) 2022 The Choclo Developers.
+# Distributed under the terms of the BSD 3-Clause License.
+# SPDX-License-Identifier: BSD-3-Clause
+#
+# This code is part of the Fatiando a Terra project (https://www.fatiando.org)
+#
+import numpy as np
+from numba import jit
+
+from ..constants import VACUUM_MAGNETIC_PERMEABILITY
+
+
+
+[docs] +@jit(nopython=True) +def magnetic_field( + easting_p, + northing_p, + upward_p, + easting_q, + northing_q, + upward_q, + magnetic_moment_east, + magnetic_moment_north, + magnetic_moment_up, +): + r""" + Magnetic field due to a dipole + + Returns the three components of the magnetic field due to a single dipole + a single computation point. + + .. note:: + + Use this function when all the three component of the magnetic fields + are needed. Running this function is faster than computing each + component separately. Use one of :func:`magnetic_e`, + :func:`magnetic_n`, :func:`magnetic_u` if you need only one of them. + + Parameters + ---------- + easting_p : float + Easting coordinate of the observation point in meters. + northing_p : float + Northing coordinate of the observation point in meters. + upward_p : float + Upward coordinate of the observation point in meters. + easting_q : float + Easting coordinate of the dipole in meters. + northing_q : float + Northing coordinate of the dipole in meters. + upward_q : float + Upward coordinate of the dipole in meters. + magnetic_moment_east : float + The East component of the magnetic moment vector of the dipole. Must be + in :math:`A m^2`. + magnetic_moment_north : float + The North component of the magnetic moment vector of the dipole. Must + be in :math:`A m^2`. + magnetic_moment_up : float + The upward component of the magnetic moment vector of the dipole. Must + be in :math:`A m^2`. + + Returns + ------- + b : array + Array containing the three components of the magnetic field generated + by the dipole on the observation point in :math:`\text{T}`. + The components are returned in the following order: ``b_e``, ``b_n``, + ``b_u``. + + Notes + ----- + Returns the three components of the magnetic field + :math:`\mathbf{B}` on the observation point + :math:`\mathbf{p} = (x_p, y_p, z_p)` generated by a single dipole located + in :math:`\mathbf{q} = (x_q, y_q, z_q)` and magnetic moment + :math:`\mathbf{m}=(m_x, m_y, m_z)`. + + .. math:: + + \mathbf{B}(\mathbf{p}) = + \frac{\mu_0}{4\pi} + \left[ + \frac{ + 3 (\mathbf{m} \cdot \mathbf{r}) \mathbf{r} + }{ + \lVert r \rVert^5 + } + - + \frac{ + \mathbf{m} + }{ + \lVert r \rVert^3 + } + \right] + + where :math:`\mathbf{r} = \mathbf{p} - \mathbf{q}`, + :math:`\lVert \cdot \rVert` refer to the :math:`L_2` norm + and :math:`\mu_0` is the vacuum magnetic permeability. + """ + r_e = easting_p - easting_q + r_n = northing_p - northing_q + r_u = upward_p - upward_q + distance = np.sqrt(r_e**2 + r_n**2 + r_u**2) + dotproduct = ( + magnetic_moment_east * r_e + + magnetic_moment_north * r_n + + magnetic_moment_up * r_u + ) + c_m = VACUUM_MAGNETIC_PERMEABILITY / 4 / np.pi + b_e = c_m * ( + 3 * dotproduct * r_e / distance**5 - magnetic_moment_east / distance**3 + ) + b_n = c_m * ( + 3 * dotproduct * r_n / distance**5 - magnetic_moment_north / distance**3 + ) + b_u = c_m * (3 * dotproduct * r_u / distance**5 - magnetic_moment_up / distance**3) + return b_e, b_n, b_u
+ + + +
+[docs] +@jit(nopython=True) +def magnetic_e( + easting_p, + northing_p, + upward_p, + easting_q, + northing_q, + upward_q, + magnetic_moment_east, + magnetic_moment_north, + magnetic_moment_up, +): + r""" + Easting component of the magnetic field due to a dipole + + Returns the easting component of the magnetic field by a single dipole on + a single computation point + + Parameters + ---------- + easting_p : float + Easting coordinate of the observation point in meters. + northing_p : float + Northing coordinate of the observation point in meters. + upward_p : float + Upward coordinate of the observation point in meters. + easting_q : float + Easting coordinate of the dipole in meters. + northing_q : float + Northing coordinate of the dipole in meters. + upward_q : float + Upward coordinate of the dipole in meters. + magnetic_moment_east : float + The East component of the magnetic moment vector of the dipole. Must be + in :math:`A m^2`. + magnetic_moment_north : float + The North component of the magnetic moment vector of the dipole. Must + be in :math:`A m^2`. + magnetic_moment_up : float + The upward component of the magnetic moment vector of the dipole. Must + be in :math:`A m^2`. + + Returns + ------- + b_e : float + Easting component of the magnetic field generated by the dipole + on the observation point in :math:`\text{T}`. + + Notes + ----- + Returns the easting component :math:`B_x(\mathbf{p})` of the magnetic field + :math:`\mathbf{B}` on the observation point + :math:`\mathbf{p} = (x_p, y_p, z_p)` generated by a single dipole located + in :math:`\mathbf{q} = (x_q, y_q, z_q)` and magnetic moment + :math:`\mathbf{m}=(m_x, m_y, m_z)`. + + .. math:: + + B_x(\mathbf{p}) = + \frac{\mu_0}{4\pi} + \left[ + \frac{ + 3 (\mathbf{m} \cdot \mathbf{r}) x + }{ + \lVert r \rVert^5 + } + - + \frac{ + m_x + }{ + \lVert r \rVert^3 + } + \right] + + where :math:`\mathbf{r} = \mathbf{p} - \mathbf{q}`, + :math:`\lVert \cdot \rVert` refer to the :math:`L_2` norm + and :math:`\mu_0` is the vacuum magnetic permeability. + """ + r_e = easting_p - easting_q + r_n = northing_p - northing_q + r_u = upward_p - upward_q + distance = np.sqrt(r_e**2 + r_n**2 + r_u**2) + dotproduct = ( + magnetic_moment_east * r_e + + magnetic_moment_north * r_n + + magnetic_moment_up * r_u + ) + result = 3 * dotproduct * r_e / distance**5 - magnetic_moment_east / distance**3 + return VACUUM_MAGNETIC_PERMEABILITY / 4 / np.pi * result
+ + + +
+[docs] +@jit(nopython=True) +def magnetic_n( + easting_p, + northing_p, + upward_p, + easting_q, + northing_q, + upward_q, + magnetic_moment_east, + magnetic_moment_north, + magnetic_moment_up, +): + r""" + Northing component of the magnetic field due to a dipole + + Returns the northing component of the magnetic field by a single dipole on + a single computation point + + Parameters + ---------- + easting_p : float + Easting coordinate of the observation point in meters. + northing_p : float + Northing coordinate of the observation point in meters. + upward_p : float + Upward coordinate of the observation point in meters. + easting_q : float + Easting coordinate of the dipole in meters. + northing_q : float + Northing coordinate of the dipole in meters. + upward_q : float + Upward coordinate of the dipole in meters. + magnetic_moment_east : float + The East component of the magnetic moment vector of the dipole. Must be + in :math:`A m^2`. + magnetic_moment_north : float + The North component of the magnetic moment vector of the dipole. Must + be in :math:`A m^2`. + magnetic_moment_up : float + The upward component of the magnetic moment vector of the dipole. Must + be in :math:`A m^2`. + + Returns + ------- + b_n : float + Northing component of the magnetic field generated by the dipole on the + observation point in :math:`\text{T}`. + + Notes + ----- + Returns the northing component :math:`B_y(\mathbf{p})` of the magnetic + field :math:`\mathbf{B}` on the observation point + :math:`\mathbf{p} = (x_p, y_p, z_p)` generated by a single dipole located + in :math:`\mathbf{q} = (x_q, y_q, z_q)` and magnetic moment + :math:`\mathbf{m}=(m_x, m_y, m_z)`. + + .. math:: + + B_y(\mathbf{p}) = + \frac{\mu_0}{4\pi} + \left[ + \frac{ + 3 (\mathbf{m} \cdot \mathbf{r}) y + }{ + \lVert r \rVert^5 + } + - + \frac{ + m_y + }{ + \lVert r \rVert^3 + } + \right] + + where :math:`\mathbf{r} = \mathbf{p} - \mathbf{q}`, + :math:`\lVert \cdot \rVert` refer to the :math:`L_2` norm + and :math:`\mu_0` is the vacuum magnetic permeability. + """ + r_e = easting_p - easting_q + r_n = northing_p - northing_q + r_u = upward_p - upward_q + distance = np.sqrt(r_e**2 + r_n**2 + r_u**2) + dotproduct = ( + magnetic_moment_east * r_e + + magnetic_moment_north * r_n + + magnetic_moment_up * r_u + ) + result = 3 * dotproduct * r_n / distance**5 - magnetic_moment_north / distance**3 + return VACUUM_MAGNETIC_PERMEABILITY / 4 / np.pi * result
+ + + +
+[docs] +@jit(nopython=True) +def magnetic_u( + easting_p, + northing_p, + upward_p, + easting_q, + northing_q, + upward_q, + magnetic_moment_east, + magnetic_moment_north, + magnetic_moment_up, +): + r""" + Upward component of the magnetic field due to a dipole + + Returns the upward component of the magnetic field by a single dipole on + a single computation point + + Parameters + ---------- + easting_p : float + Easting coordinate of the observation point in meters. + northing_p : float + Northing coordinate of the observation point in meters. + upward_p : float + Upward coordinate of the observation point in meters. + easting_q : float + Easting coordinate of the dipole in meters. + northing_q : float + Northing coordinate of the dipole in meters. + upward_q : float + Upward coordinate of the dipole in meters. + magnetic_moment_east : float + The East component of the magnetic moment vector of the dipole. Must be + in :math:`A m^2`. + magnetic_moment_north : float + The North component of the magnetic moment vector of the dipole. Must + be in :math:`A m^2`. + magnetic_moment_up : float + The upward component of the magnetic moment vector of the dipole. Must + be in :math:`A m^2`. + + Returns + ------- + b_u : float + Upward component of the magnetic field generated by the dipole on the + observation point in :math:`\text{T}`. + + Notes + ----- + Returns the upward component :math:`B_z(\mathbf{p})` of the magnetic + field :math:`\mathbf{B}` on the observation point + :math:`\mathbf{p} = (x_p, y_p, z_p)` generated by a single dipole located + in :math:`\mathbf{q} = (x_q, y_q, z_q)` and magnetic moment + :math:`\mathbf{m}=(m_x, m_y, m_z)`. + + .. math:: + + B_z(\mathbf{p}) = + \frac{\mu_0}{4\pi} + \left[ + \frac{ + 3 (\mathbf{m} \cdot \mathbf{r}) z + }{ + \lVert r \rVert^5 + } + - + \frac{ + m_z + }{ + \lVert r \rVert^3 + } + \right] + + where :math:`\mathbf{r} = \mathbf{p} - \mathbf{q}`, + :math:`\lVert \cdot \rVert` refer to the :math:`L_2` norm + and :math:`\mu_0` is the vacuum magnetic permeability. + """ + r_e = easting_p - easting_q + r_n = northing_p - northing_q + r_u = upward_p - upward_q + distance = np.sqrt(r_e**2 + r_n**2 + r_u**2) + dotproduct = ( + magnetic_moment_east * r_e + + magnetic_moment_north * r_n + + magnetic_moment_up * r_u + ) + result = 3 * dotproduct * r_u / distance**5 - magnetic_moment_up / distance**3 + return VACUUM_MAGNETIC_PERMEABILITY / 4 / np.pi * result
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Source code for choclo.point._forward

+# Copyright (c) 2022 The Choclo Developers.
+# Distributed under the terms of the BSD 3-Clause License.
+# SPDX-License-Identifier: BSD-3-Clause
+#
+# This code is part of the Fatiando a Terra project (https://www.fatiando.org)
+#
+"""
+Forward modelling function for point sources
+"""
+from numba import jit
+
+from ..constants import GRAVITATIONAL_CONST
+from ..utils import distance_cartesian
+from ._kernels import (
+    kernel_e,
+    kernel_ee,
+    kernel_en,
+    kernel_eu,
+    kernel_n,
+    kernel_nn,
+    kernel_nu,
+    kernel_pot,
+    kernel_u,
+    kernel_uu,
+)
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+[docs] +@jit(nopython=True) +def gravity_pot(easting_p, northing_p, upward_p, easting_q, northing_q, upward_q, mass): + r""" + Gravitational potential field due to a point source + + Returns the gravitational potential field produced by a single point source + on a single computation point + + Parameters + ---------- + easting_p : float + Easting coordinate of the observation point in meters. + northing_p : float + Northing coordinate of the observation point in meters. + upward_p : float + Upward coordinate of the observation point in meters. + easting_q : float + Easting coordinate of the point source in meters. + northing_q : float + Northing coordinate of the point source in meters. + upward_q : float + Upward coordinate of the point source in meters. + mass : float + Mass of the point source in kilograms. + + Returns + ------- + potential : float + Gravitational potential field generated by the point source on the + observation point in :math:`\text{J}/\text{kg}`. + + Notes + ----- + Returns the gravitational potential field :math:`V(\mathbf{p})` on the + observation point :math:`\mathbf{p} = (x_p, y_p, z_p)` generated by + a single point source located in :math:`\mathbf{q} = (x_q, y_q, z_q)` and + mass :math:`m`. + + .. math:: + + V(\mathbf{p}) = G m \frac{1}{\lVert \mathbf{p} - \mathbf{q} \rVert_2^2} + + where :math:`\lVert \cdot \rVert_2` refer to the :math:`L_2` norm (the + Euclidean distance between :math:`\mathbf{p}` and :math:`\mathbf{q}`) + and :math:`G` is the Universal Gravitational Constant. + """ + distance = distance_cartesian( + easting_p, northing_p, upward_p, easting_q, northing_q, upward_q + ) + kernel = kernel_pot( + easting_p, northing_p, upward_p, easting_q, northing_q, upward_q, distance + ) + return GRAVITATIONAL_CONST * mass * kernel
+ + + +
+[docs] +@jit(nopython=True) +def gravity_e(easting_p, northing_p, upward_p, easting_q, northing_q, upward_q, mass): + r""" + Easting component of the gravitational acceleration due to a point source + + Returns the easting component of the gravitational acceleration produced by + a single point source on a single computation point + + Parameters + ---------- + easting_p : float + Easting coordinate of the observation point in meters. + northing_p : float + Northing coordinate of the observation point in meters. + upward_p : float + Upward coordinate of the observation point in meters. + easting_q : float + Easting coordinate of the point source in meters. + northing_q : float + Northing coordinate of the point source in meters. + upward_q : float + Upward coordinate of the point source in meters. + mass : float + Mass of the point source in kilograms. + + Returns + ------- + g_e : float + Easting component of the gravitational acceleration generated by the + point source on the observation point in :math:`\text{m}/\text{s}^2`. + + Notes + ----- + Returns the easting component :math:`g_x(\mathbf{p})` of the gravitational + acceleration :math:`\mathbf{g}` on the observation point :math:`\mathbf{p} + = (x_p, y_p, z_p)` generated by a single point source located in + :math:`\mathbf{q} = (x_q, y_q, z_q)` and mass :math:`m`. + + .. math:: + + g_x(\mathbf{p}) = - G m + \frac{ + x_p - x_q + }{ + \lVert \mathbf{p} - \mathbf{q} \rVert_2^2 + } + + where :math:`\lVert \cdot \rVert_2` refer to the :math:`L_2` norm (the + Euclidean distance between :math:`\mathbf{p}` and :math:`\mathbf{q}`) + and :math:`G` is the Universal Gravitational Constant. + """ + distance = distance_cartesian( + easting_p, northing_p, upward_p, easting_q, northing_q, upward_q + ) + kernel = kernel_e( + easting_p, northing_p, upward_p, easting_q, northing_q, upward_q, distance + ) + return GRAVITATIONAL_CONST * mass * kernel
+ + + +
+[docs] +@jit(nopython=True) +def gravity_n(easting_p, northing_p, upward_p, easting_q, northing_q, upward_q, mass): + r""" + Northing component of the gravitational acceleration due to a point source + + Returns the northing component of the gravitational acceleration produced + by a single point source on a single computation point + + Parameters + ---------- + easting_p : float + Easting coordinate of the observation point in meters. + northing_p : float + Northing coordinate of the observation point in meters. + upward_p : float + Upward coordinate of the observation point in meters. + easting_q : float + Easting coordinate of the point source in meters. + northing_q : float + Northing coordinate of the point source in meters. + upward_q : float + Upward coordinate of the point source in meters. + mass : float + Mass of the point source in kilograms. + + Returns + ------- + g_n : float + Northing component of the gravitational acceleration generated by the + point source on the observation point in :math:`\text{m}/\text{s}^2`. + + Notes + ----- + Returns the northing component :math:`g_y(\mathbf{p})` of the gravitational + acceleration :math:`\mathbf{g}` on the observation point :math:`\mathbf{p} + = (x_p, y_p, z_p)` generated by a single point source located in + :math:`\mathbf{q} = (x_q, y_q, z_q)` and mass :math:`m`. + + .. math:: + + g_y(\mathbf{p}) = - G m + \frac{ + y_p - y_q + }{ + \lVert \mathbf{p} - \mathbf{q} \rVert_2^2 + } + + where :math:`\lVert \cdot \rVert_2` refer to the :math:`L_2` norm (the + Euclidean distance between :math:`\mathbf{p}` and :math:`\mathbf{q}`) + and :math:`G` is the Universal Gravitational Constant. + """ + distance = distance_cartesian( + easting_p, northing_p, upward_p, easting_q, northing_q, upward_q + ) + kernel = kernel_n( + easting_p, northing_p, upward_p, easting_q, northing_q, upward_q, distance + ) + return GRAVITATIONAL_CONST * mass * kernel
+ + + +
+[docs] +@jit(nopython=True) +def gravity_u(easting_p, northing_p, upward_p, easting_q, northing_q, upward_q, mass): + r""" + Upward component of the gravitational acceleration due to a point source + + Returns the upward component of the gravitational acceleration produced by + a single point source on a single computation point + + Parameters + ---------- + easting_p : float + Easting coordinate of the observation point in meters. + northing_p : float + Northing coordinate of the observation point in meters. + upward_p : float + Upward coordinate of the observation point in meters. + easting_q : float + Easting coordinate of the point source in meters. + northing_q : float + Northing coordinate of the point source in meters. + upward_q : float + Upward coordinate of the point source in meters. + mass : float + Mass of the point source in kilograms. + + Returns + ------- + g_u : float + Upward component of the gravitational acceleration generated by the + point source on the observation point in :math:`\text{m}/\text{s}^2`. + + Notes + ----- + Returns the upward component :math:`g_z(\mathbf{p})` of the gravitational + acceleration :math:`\mathbf{g}` on the observation point :math:`\mathbf{p} + = (x_p, y_p, z_p)` generated by a single point source located in + :math:`\mathbf{q} = (x_q, y_q, z_q)` and mass :math:`m`. + + .. math:: + + g_z(\mathbf{p}) = - G m + \frac{ + z_p - z_q + }{ + \lVert \mathbf{p} - \mathbf{q} \rVert_2^2 + } + + where :math:`\lVert \cdot \rVert_2` refer to the :math:`L_2` norm (the + Euclidean distance between :math:`\mathbf{p}` and :math:`\mathbf{q}`) + and :math:`G` is the Universal Gravitational Constant. + """ + distance = distance_cartesian( + easting_p, northing_p, upward_p, easting_q, northing_q, upward_q + ) + kernel = kernel_u( + easting_p, northing_p, upward_p, easting_q, northing_q, upward_q, distance + ) + return GRAVITATIONAL_CONST * mass * kernel
+ + + +
+[docs] +@jit(nopython=True) +def gravity_ee(easting_p, northing_p, upward_p, easting_q, northing_q, upward_q, mass): + r""" + Easting-easting component of the gravitational tensor due to a point source + + Returns the easting-easting component of the gravitational tensor produced + by a single point source on a single computation point + + Parameters + ---------- + easting_p : float + Easting coordinate of the observation point in meters. + northing_p : float + Northing coordinate of the observation point in meters. + upward_p : float + Upward coordinate of the observation point in meters. + easting_q : float + Easting coordinate of the point source in meters. + northing_q : float + Northing coordinate of the point source in meters. + upward_q : float + Upward coordinate of the point source in meters. + mass : float + Mass of the point source in kilograms. + + Returns + ------- + g_ee : float + Easting-easting component of the gravitational tensor generated by the + point source on the observation point in :math:`\text{s}^{-2}`. + + Notes + ----- + Returns the easting-easting component :math:`g_{xx}(\mathbf{p})` of the + gravitational tensor :math:`\mathbf{T}` on the observation point + :math:`\mathbf{p} = (x_p, y_p, z_p)` generated by a single point source + located in :math:`\mathbf{q} = (x_q, y_q, z_q)` and mass :math:`m`. + + .. math:: + + g_{xx}(\mathbf{p}) = G m + \left[ + \frac{ + 3 (x_p - x_q)^2 + }{ + \lVert \mathbf{p} - \mathbf{q} \rVert_2^5 + } + - \frac{ + 1 + }{ + \lVert \mathbf{p} - \mathbf{q} \rVert_2^3 + } + \right] + + where :math:`\lVert \cdot \rVert_2` refer to the :math:`L_2` norm (the + Euclidean distance between :math:`\mathbf{p}` and :math:`\mathbf{q}`) + and :math:`G` is the Universal Gravitational Constant. + """ + distance = distance_cartesian( + easting_p, northing_p, upward_p, easting_q, northing_q, upward_q + ) + kernel = kernel_ee( + easting_p, northing_p, upward_p, easting_q, northing_q, upward_q, distance + ) + return GRAVITATIONAL_CONST * mass * kernel
+ + + +
+[docs] +@jit(nopython=True) +def gravity_nn(easting_p, northing_p, upward_p, easting_q, northing_q, upward_q, mass): + r""" + Northing-northing component of the gravitational tensor due to point source + + Returns the northing-northing component of the gravitational tensor + produced by a single point source on a single computation point + + Parameters + ---------- + easting_p : float + Easting coordinate of the observation point in meters. + northing_p : float + Northing coordinate of the observation point in meters. + upward_p : float + Upward coordinate of the observation point in meters. + easting_q : float + Easting coordinate of the point source in meters. + northing_q : float + Northing coordinate of the point source in meters. + upward_q : float + Upward coordinate of the point source in meters. + mass : float + Mass of the point source in kilograms. + + Returns + ------- + g_nn : float + Northing-northing component of the gravitational tensor generated by + the point source on the observation point in :math:`\text{s}^{-2}`. + + Notes + ----- + Returns the northing-northing component :math:`g_{yy}(\mathbf{p})` of the + gravitational tensor :math:`\mathbf{T}` on the observation point + :math:`\mathbf{p} = (x_p, y_p, z_p)` generated by a single point source + located in :math:`\mathbf{q} = (x_q, y_q, z_q)` and mass :math:`m`. + + .. math:: + + g_{yy}(\mathbf{p}) = G m + \left[ + \frac{ + 3 (y_p - y_q)^2 + }{ + \lVert \mathbf{p} - \mathbf{q} \rVert_2^5 + } + - \frac{ + 1 + }{ + \lVert \mathbf{p} - \mathbf{q} \rVert_2^3 + } + \right] + + where :math:`\lVert \cdot \rVert_2` refer to the :math:`L_2` norm (the + Euclidean distance between :math:`\mathbf{p}` and :math:`\mathbf{q}`) + and :math:`G` is the Universal Gravitational Constant. + """ + distance = distance_cartesian( + easting_p, northing_p, upward_p, easting_q, northing_q, upward_q + ) + kernel = kernel_nn( + easting_p, northing_p, upward_p, easting_q, northing_q, upward_q, distance + ) + return GRAVITATIONAL_CONST * mass * kernel
+ + + +
+[docs] +@jit(nopython=True) +def gravity_uu(easting_p, northing_p, upward_p, easting_q, northing_q, upward_q, mass): + r""" + Upward-upward component of the gravitational tensor due to a point source + + Returns the upward-upward component of the gravitational tensor + produced by a single point source on a single computation point + + Parameters + ---------- + easting_p : float + Easting coordinate of the observation point in meters. + northing_p : float + Northing coordinate of the observation point in meters. + upward_p : float + Upward coordinate of the observation point in meters. + easting_q : float + Easting coordinate of the point source in meters. + northing_q : float + Northing coordinate of the point source in meters. + upward_q : float + Upward coordinate of the point source in meters. + mass : float + Mass of the point source in kilograms. + + Returns + ------- + g_uu : float + Upward-upward component of the gravitational tensor generated by + the point source on the observation point in :math:`\text{s}^{-2}`. + + Notes + ----- + Returns the upward-upward component :math:`g_{zz}(\mathbf{p})` of the + gravitational tensor :math:`\mathbf{T}` on the observation point + :math:`\mathbf{p} = (x_p, y_p, z_p)` generated by a single point source + located in :math:`\mathbf{q} = (x_q, y_q, z_q)` and mass :math:`m`. + + .. math:: + + g_{zz}(\mathbf{p}) = G m + \left[ + \frac{ + 3 (z_p - z_q)^2 + }{ + \lVert \mathbf{p} - \mathbf{q} \rVert_2^5 + } + - \frac{ + 1 + }{ + \lVert \mathbf{p} - \mathbf{q} \rVert_2^3 + } + \right] + + where :math:`\lVert \cdot \rVert_2` refer to the :math:`L_2` norm (the + Euclidean distance between :math:`\mathbf{p}` and :math:`\mathbf{q}`) + and :math:`G` is the Universal Gravitational Constant. + """ + distance = distance_cartesian( + easting_p, northing_p, upward_p, easting_q, northing_q, upward_q + ) + kernel = kernel_uu( + easting_p, northing_p, upward_p, easting_q, northing_q, upward_q, distance + ) + return GRAVITATIONAL_CONST * mass * kernel
+ + + +
+[docs] +@jit(nopython=True) +def gravity_en(easting_p, northing_p, upward_p, easting_q, northing_q, upward_q, mass): + r""" + Easting-northing component of the gravitational tensor due to point source + + Returns the easting-northing component of the gravitational tensor + produced by a single point source on a single computation point + + Parameters + ---------- + easting_p : float + Easting coordinate of the observation point in meters. + northing_p : float + Northing coordinate of the observation point in meters. + upward_p : float + Upward coordinate of the observation point in meters. + easting_q : float + Easting coordinate of the point source in meters. + northing_q : float + Northing coordinate of the point source in meters. + upward_q : float + Upward coordinate of the point source in meters. + mass : float + Mass of the point source in kilograms. + + Returns + ------- + g_en : float + Easting-northing component of the gravitational tensor generated by + the point source on the observation point in :math:`\text{s}^{-2}`. + + Notes + ----- + Returns the easting-northing component :math:`g_{xy}(\mathbf{p})` of the + gravitational tensor :math:`\mathbf{T}` on the observation point + :math:`\mathbf{p} = (x_p, y_p, z_p)` generated by a single point source + located in :math:`\mathbf{q} = (x_q, y_q, z_q)` and mass :math:`m`. + + .. math:: + + g_{xy}(\mathbf{p}) = G m + \left[ + \frac{ + 3 (x_p - x_q) (y_p - y_q) + }{ + \lVert \mathbf{p} - \mathbf{q} \rVert_2^5 + } + \right] + + where :math:`\lVert \cdot \rVert_2` refer to the :math:`L_2` norm (the + Euclidean distance between :math:`\mathbf{p}` and :math:`\mathbf{q}`) + and :math:`G` is the Universal Gravitational Constant. + """ + distance = distance_cartesian( + easting_p, northing_p, upward_p, easting_q, northing_q, upward_q + ) + kernel = kernel_en( + easting_p, northing_p, upward_p, easting_q, northing_q, upward_q, distance + ) + return GRAVITATIONAL_CONST * mass * kernel
+ + + +
+[docs] +@jit(nopython=True) +def gravity_eu(easting_p, northing_p, upward_p, easting_q, northing_q, upward_q, mass): + r""" + Easting-upward component of the gravitational tensor due to point source + + Returns the easting-upward component of the gravitational tensor + produced by a single point source on a single computation point + + Parameters + ---------- + easting_p : float + Easting coordinate of the observation point in meters. + northing_p : float + Northing coordinate of the observation point in meters. + upward_p : float + Upward coordinate of the observation point in meters. + easting_q : float + Easting coordinate of the point source in meters. + northing_q : float + Northing coordinate of the point source in meters. + upward_q : float + Upward coordinate of the point source in meters. + mass : float + Mass of the point source in kilograms. + + Returns + ------- + g_eu : float + Easting-upward component of the gravitational tensor generated by + the point source on the observation point in :math:`\text{s}^{-2}`. + + Notes + ----- + Returns the easting-upward component :math:`g_{xz}(\mathbf{p})` of the + gravitational tensor :math:`\mathbf{T}` on the observation point + :math:`\mathbf{p} = (x_p, y_p, z_p)` generated by a single point source + located in :math:`\mathbf{q} = (x_q, y_q, z_q)` and mass :math:`m`. + + .. math:: + + g_{xz}(\mathbf{p}) = G m + \left[ + \frac{ + 3 (x_p - x_q) (z_p - z_q) + }{ + \lVert \mathbf{p} - \mathbf{q} \rVert_2^5 + } + \right] + + where :math:`\lVert \cdot \rVert_2` refer to the :math:`L_2` norm (the + Euclidean distance between :math:`\mathbf{p}` and :math:`\mathbf{q}`) + and :math:`G` is the Universal Gravitational Constant. + """ + distance = distance_cartesian( + easting_p, northing_p, upward_p, easting_q, northing_q, upward_q + ) + kernel = kernel_eu( + easting_p, northing_p, upward_p, easting_q, northing_q, upward_q, distance + ) + return GRAVITATIONAL_CONST * mass * kernel
+ + + +
+[docs] +@jit(nopython=True) +def gravity_nu(easting_p, northing_p, upward_p, easting_q, northing_q, upward_q, mass): + r""" + Northing-upward component of the gravitational tensor due to point source + + Returns the northing-upward component of the gravitational tensor + produced by a single point source on a single computation point + + Parameters + ---------- + easting_p : float + Easting coordinate of the observation point in meters. + northing_p : float + Northing coordinate of the observation point in meters. + upward_p : float + Upward coordinate of the observation point in meters. + easting_q : float + Easting coordinate of the point source in meters. + northing_q : float + Northing coordinate of the point source in meters. + upward_q : float + Upward coordinate of the point source in meters. + mass : float + Mass of the point source in kilograms. + + Returns + ------- + g_nu : float + Northing-upward component of the gravitational tensor generated by the + point source on the observation point in :math:`\text{s}^{-2}`. + + Notes + ----- + Returns the northing-upward component :math:`g_{yz}(\mathbf{p})` of the + gravitational tensor :math:`\mathbf{T}` on the observation point + :math:`\mathbf{p} = (x_p, y_p, z_p)` generated by a single point source + located in :math:`\mathbf{q} = (x_q, y_q, z_q)` and mass :math:`m`. + + .. math:: + + g_{yz}(\mathbf{p}) = G m + \left[ + \frac{ + 3 (y_p - y_q) (z_p - z_q) + }{ + \lVert \mathbf{p} - \mathbf{q} \rVert_2^5 + } + \right] + + where :math:`\lVert \cdot \rVert_2` refer to the :math:`L_2` norm (the + Euclidean distance between :math:`\mathbf{p}` and :math:`\mathbf{q}`) + and :math:`G` is the Universal Gravitational Constant. + """ + distance = distance_cartesian( + easting_p, northing_p, upward_p, easting_q, northing_q, upward_q + ) + kernel = kernel_nu( + easting_p, northing_p, upward_p, easting_q, northing_q, upward_q, distance + ) + return GRAVITATIONAL_CONST * mass * kernel
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Source code for choclo.point._kernels

+# Copyright (c) 2022 The Choclo Developers.
+# Distributed under the terms of the BSD 3-Clause License.
+# SPDX-License-Identifier: BSD-3-Clause
+#
+# This code is part of the Fatiando a Terra project (https://www.fatiando.org)
+#
+"""
+Kernel functions for point sources
+"""
+from numba import jit
+
+
+
+[docs] +@jit(nopython=True) +def kernel_pot( + easting_p, northing_p, upward_p, easting_q, northing_q, upward_q, distance +): + r""" + The inverse of the distance between the two points + + .. important :: + + The coordinates of the two points must be in Cartesian coordinates and + have the same units. + + Parameters + ---------- + easting_p : float + Easting coordinate of point :math:`\mathbf{p}`. + northing_p : float + Northing coordinate of point :math:`\mathbf{p}`. + upward_p : float + Upward coordinate of point :math:`\mathbf{p}`. + easting_q : float + Easting coordinate of point :math:`\mathbf{q}`. + northing_q : float + Northing coordinate of point :math:`\mathbf{q}`. + upward_q : float + Upward coordinate of point :math:`\mathbf{q}`. + distance : float + Euclidean distance between points :math:`\mathbf{p}` and + :math:`\mathbf{q}`. + + Returns + ------- + kernel : float + Value of the kernel function. + + Notes + ----- + Given two points :math:`\mathbf{p} = (x_p, y_p, z_p)` and :math:`\mathbf{q} + = (x_q, y_q, z_q)` defined in a Cartesian coordinate system, compute the + following kernel function: + + .. math:: + + k_V(\mathbf{p}, \mathbf{q}) = + \frac{ + 1 + }{ + \lVert \mathbf{p} - \mathbf{q} \rVert_2 + } + + where :math:`\lVert \cdot \rVert_2` refer to the :math:`L_2` norm (the + Euclidean distance between :math:`\mathbf{p}` and :math:`\mathbf{q}`). + """ + return 1 / distance
+ + + +
+[docs] +@jit(nopython=True) +def kernel_e( + easting_p, northing_p, upward_p, easting_q, northing_q, upward_q, distance +): + r""" + Easting component of the gradient of the inverse of the distance + + .. important :: + + The coordinates of the two points must be in Cartesian coordinates and + have the same units. + + Parameters + ---------- + easting_p : float + Easting coordinate of point :math:`\mathbf{p}`. + northing_p : float + Northing coordinate of point :math:`\mathbf{p}`. + upward_p : float + Upward coordinate of point :math:`\mathbf{p}`. + easting_q : float + Easting coordinate of point :math:`\mathbf{q}`. + northing_q : float + Northing coordinate of point :math:`\mathbf{q}`. + upward_q : float + Upward coordinate of point :math:`\mathbf{q}`. + distance : float + Euclidean distance between points :math:`\mathbf{p}` and + :math:`\mathbf{q}`. + + Returns + ------- + kernel : float + Value of the kernel function. + + Notes + ----- + Given two points :math:`\mathbf{p} = (x_p, y_p, z_p)` and :math:`\mathbf{q} + = (x_q, y_q, z_q)` defined in a Cartesian coordinate system, compute the + following kernel function: + + .. math:: + + k_x(\mathbf{p}, \mathbf{q}) = + \frac{\partial}{\partial x} + \left( + \frac{1}{\lVert \mathbf{p} - \mathbf{q} \rVert_2} + \right) + = + - \frac{ + x_p - x_q + }{ + \lVert \mathbf{p} - \mathbf{q} \rVert_2 + } + + where :math:`\lVert \cdot \rVert_2` refer to the :math:`L_2` norm (the + Euclidean distance between :math:`\mathbf{p}` and :math:`\mathbf{q}`). + """ + return -(easting_p - easting_q) / distance**3
+ + + +
+[docs] +@jit(nopython=True) +def kernel_n( + easting_p, northing_p, upward_p, easting_q, northing_q, upward_q, distance +): + r""" + Northing component of the gradient of the inverse of the distance + + .. important :: + + The coordinates of the two points must be in Cartesian coordinates and + have the same units. + + Parameters + ---------- + easting_p : float + Easting coordinate of point :math:`\mathbf{p}`. + northing_p : float + Northing coordinate of point :math:`\mathbf{p}`. + upward_p : float + Upward coordinate of point :math:`\mathbf{p}`. + easting_q : float + Easting coordinate of point :math:`\mathbf{q}`. + northing_q : float + Northing coordinate of point :math:`\mathbf{q}`. + upward_q : float + Upward coordinate of point :math:`\mathbf{q}`. + distance : float + Euclidean distance between points :math:`\mathbf{p}` and + :math:`\mathbf{q}`. + + Returns + ------- + kernel : float + Value of the kernel function. + + Notes + ----- + Given two points :math:`\mathbf{p} = (x_p, y_p, z_p)` and :math:`\mathbf{q} + = (x_q, y_q, z_q)` defined in a Cartesian coordinate system, compute the + following kernel function: + + .. math:: + + k_y(\mathbf{p}, \mathbf{q}) = + \frac{\partial}{\partial y} + \left( + \frac{1}{\lVert \mathbf{p} - \mathbf{q} \rVert_2} + \right) + = + - \frac{ + y_p - y_q + }{ + \lVert \mathbf{p} - \mathbf{q} \rVert_2 + } + + where :math:`\lVert \cdot \rVert_2` refer to the :math:`L_2` norm (the + Euclidean distance between :math:`\mathbf{p}` and :math:`\mathbf{q}`). + """ + return -(northing_p - northing_q) / distance**3
+ + + +
+[docs] +@jit(nopython=True) +def kernel_u( + easting_p, northing_p, upward_p, easting_q, northing_q, upward_q, distance +): + r""" + Upward component of the gradient of the inverse of the distance + + .. important :: + + The coordinates of the two points must be in Cartesian coordinates and + have the same units. + + Parameters + ---------- + easting_p : float + Easting coordinate of point :math:`\mathbf{p}`. + northing_p : float + Northing coordinate of point :math:`\mathbf{p}`. + upward_p : float + Upward coordinate of point :math:`\mathbf{p}`. + easting_q : float + Easting coordinate of point :math:`\mathbf{q}`. + northing_q : float + Northing coordinate of point :math:`\mathbf{q}`. + upward_q : float + Upward coordinate of point :math:`\mathbf{q}`. + distance : float + Euclidean distance between points :math:`\mathbf{p}` and + :math:`\mathbf{q}`. + + Returns + ------- + kernel : float + Value of the kernel function. + + Notes + ----- + Given two points :math:`\mathbf{p} = (x_p, y_p, z_p)` and :math:`\mathbf{q} + = (x_q, y_q, z_q)` defined in a Cartesian coordinate system, compute the + following kernel function: + + .. math:: + + k_z(\mathbf{p}, \mathbf{q}) = + \frac{\partial}{\partial z} + \left( + \frac{1}{\lVert \mathbf{p} - \mathbf{q} \rVert_2} + \right) + = + - \frac{ + z_p - z_q + }{ + \lVert \mathbf{p} - \mathbf{q} \rVert_2 + } + + where :math:`\lVert \cdot \rVert_2` refer to the :math:`L_2` norm (the + Euclidean distance between :math:`\mathbf{p}` and :math:`\mathbf{q}`). + """ + return -(upward_p - upward_q) / distance**3
+ + + +
+[docs] +@jit(nopython=True) +def kernel_ee( + easting_p, northing_p, upward_p, easting_q, northing_q, upward_q, distance +): + r""" + Second derivative of the inverse of the distance along easting-easting + + .. important :: + + The coordinates of the two points must be in Cartesian coordinates and + have the same units. + + Parameters + ---------- + easting_p : float + Easting coordinate of point :math:`\mathbf{p}`. + northing_p : float + Northing coordinate of point :math:`\mathbf{p}`. + upward_p : float + Upward coordinate of point :math:`\mathbf{p}`. + easting_q : float + Easting coordinate of point :math:`\mathbf{q}`. + northing_q : float + Northing coordinate of point :math:`\mathbf{q}`. + upward_q : float + Upward coordinate of point :math:`\mathbf{q}`. + distance : float + Euclidean distance between points :math:`\mathbf{p}` and + :math:`\mathbf{q}`. + + Returns + ------- + kernel : float + Value of the kernel function. + + Notes + ----- + Given two points :math:`\mathbf{p} = (x_p, y_p, z_p)` and :math:`\mathbf{q} + = (x_q, y_q, z_q)` defined in a Cartesian coordinate system, compute the + following kernel function: + + .. math:: + + k_{xx}(\mathbf{p}, \mathbf{q}) = + \frac{\partial^2}{\partial x^2} + \left( + \frac{1}{\lVert \mathbf{p} - \mathbf{q} \rVert_2} + \right) + = + \frac{ + 3 (x_p - x_q)^2 + }{ + \lVert \mathbf{p} - \mathbf{q} \rVert_2^5 + } + - \frac{ + 1 + }{ + \lVert \mathbf{p} - \mathbf{q} \rVert_2^3 + } + + where :math:`\lVert \cdot \rVert_2` refer to the :math:`L_2` norm (the + Euclidean distance between :math:`\mathbf{p}` and :math:`\mathbf{q}`). + """ + return 3 * (easting_p - easting_q) ** 2 / distance**5 - 1 / distance**3
+ + + +
+[docs] +@jit(nopython=True) +def kernel_nn( + easting_p, northing_p, upward_p, easting_q, northing_q, upward_q, distance +): + r""" + Second derivative of the inverse of the distance along northing-northing + + .. important :: + + The coordinates of the two points must be in Cartesian coordinates and + have the same units. + + Parameters + ---------- + easting_p : float + Easting coordinate of point :math:`\mathbf{p}`. + northing_p : float + Northing coordinate of point :math:`\mathbf{p}`. + upward_p : float + Upward coordinate of point :math:`\mathbf{p}`. + easting_q : float + Easting coordinate of point :math:`\mathbf{q}`. + northing_q : float + Northing coordinate of point :math:`\mathbf{q}`. + upward_q : float + Upward coordinate of point :math:`\mathbf{q}`. + distance : float + Euclidean distance between points :math:`\mathbf{p}` and + :math:`\mathbf{q}`. + + Returns + ------- + kernel : float + Value of the kernel function. + + Notes + ----- + Given two points :math:`\mathbf{p} = (x_p, y_p, z_p)` and :math:`\mathbf{q} + = (x_q, y_q, z_q)` defined in a Cartesian coordinate system, compute the + following kernel function: + + .. math:: + + k_{yy}(\mathbf{p}, \mathbf{q}) = + \frac{\partial^2}{\partial y^2} + \left( + \frac{1}{\lVert \mathbf{p} - \mathbf{q} \rVert_2} + \right) + = + \frac{ + 3 (y_p - y_q)^2 + }{ + \lVert \mathbf{p} - \mathbf{q} \rVert_2^5 + } + - \frac{ + 1 + }{ + \lVert \mathbf{p} - \mathbf{q} \rVert_2^3 + } + + where :math:`\lVert \cdot \rVert_2` refer to the :math:`L_2` norm (the + Euclidean distance between :math:`\mathbf{p}` and :math:`\mathbf{q}`). + """ + return 3 * (northing_p - northing_q) ** 2 / distance**5 - 1 / distance**3
+ + + +
+[docs] +@jit(nopython=True) +def kernel_uu( + easting_p, northing_p, upward_p, easting_q, northing_q, upward_q, distance +): + r""" + Second derivative of the inverse of the distance along upward-upward + + .. important :: + + The coordinates of the two points must be in Cartesian coordinates and + have the same units. + + Parameters + ---------- + easting_p : float + Easting coordinate of point :math:`\mathbf{p}`. + northing_p : float + Northing coordinate of point :math:`\mathbf{p}`. + upward_p : float + Upward coordinate of point :math:`\mathbf{p}`. + easting_q : float + Easting coordinate of point :math:`\mathbf{q}`. + northing_q : float + Northing coordinate of point :math:`\mathbf{q}`. + upward_q : float + Upward coordinate of point :math:`\mathbf{q}`. + distance : float + Euclidean distance between points :math:`\mathbf{p}` and + :math:`\mathbf{q}`. + + Returns + ------- + kernel : float + Value of the kernel function. + + Notes + ----- + Given two points :math:`\mathbf{p} = (x_p, y_p, z_p)` and :math:`\mathbf{q} + = (x_q, y_q, z_q)` defined in a Cartesian coordinate system, compute the + following kernel function: + + .. math:: + + k_{zz}(\mathbf{p}, \mathbf{q}) = + \frac{\partial^2}{\partial z^2} + \left( + \frac{1}{\lVert \mathbf{p} - \mathbf{q} \rVert_2} + \right) + = + \frac{ + 3 (z_p - z_q)^2 + }{ + \lVert \mathbf{p} - \mathbf{q} \rVert_2^5 + } + - \frac{ + 1 + }{ + \lVert \mathbf{p} - \mathbf{q} \rVert_2^3 + } + + where :math:`\lVert \cdot \rVert_2` refer to the :math:`L_2` norm (the + Euclidean distance between :math:`\mathbf{p}` and :math:`\mathbf{q}`). + """ + return 3 * (upward_p - upward_q) ** 2 / distance**5 - 1 / distance**3
+ + + +
+[docs] +@jit(nopython=True) +def kernel_en( + easting_p, northing_p, upward_p, easting_q, northing_q, upward_q, distance +): + r""" + Second derivative of the inverse of the distance along easting-northing + + .. important :: + + The coordinates of the two points must be in Cartesian coordinates and + have the same units. + + Parameters + ---------- + easting_p : float + Easting coordinate of point :math:`\mathbf{p}`. + northing_p : float + Northing coordinate of point :math:`\mathbf{p}`. + upward_p : float + Upward coordinate of point :math:`\mathbf{p}`. + easting_q : float + Easting coordinate of point :math:`\mathbf{q}`. + northing_q : float + Northing coordinate of point :math:`\mathbf{q}`. + upward_q : float + Upward coordinate of point :math:`\mathbf{q}`. + distance : float + Euclidean distance between points :math:`\mathbf{p}` and + :math:`\mathbf{q}`. + + Returns + ------- + kernel : float + Value of the kernel function. + + Notes + ----- + Given two points :math:`\mathbf{p} = (x_p, y_p, z_p)` and :math:`\mathbf{q} + = (x_q, y_q, z_q)` defined in a Cartesian coordinate system, compute the + following kernel function: + + .. math:: + + k_{xy}(\mathbf{p}, \mathbf{q}) = + \frac{\partial}{\partial x \partial y} + \left( + \frac{1}{\lVert \mathbf{p} - \mathbf{q} \rVert_2} + \right) + = + \frac{ + 3 (x_p - x_q) (y_p - y_q) + }{ + \lVert \mathbf{p} - \mathbf{q} \rVert_2^5 + } + + where :math:`\lVert \cdot \rVert_2` refer to the :math:`L_2` norm (the + Euclidean distance between :math:`\mathbf{p}` and :math:`\mathbf{q}`). + """ + return 3 * (easting_p - easting_q) * (northing_p - northing_q) / distance**5
+ + + +
+[docs] +@jit(nopython=True) +def kernel_eu( + easting_p, northing_p, upward_p, easting_q, northing_q, upward_q, distance +): + r""" + Second derivative of the inverse of the distance along easting-upward + + .. important :: + + The coordinates of the two points must be in Cartesian coordinates and + have the same units. + + Parameters + ---------- + easting_p : float + Easting coordinate of point :math:`\mathbf{p}`. + northing_p : float + Northing coordinate of point :math:`\mathbf{p}`. + upward_p : float + Upward coordinate of point :math:`\mathbf{p}`. + easting_q : float + Easting coordinate of point :math:`\mathbf{q}`. + northing_q : float + Northing coordinate of point :math:`\mathbf{q}`. + upward_q : float + Upward coordinate of point :math:`\mathbf{q}`. + distance : float + Euclidean distance between points :math:`\mathbf{p}` and + :math:`\mathbf{q}`. + + Returns + ------- + kernel : float + Value of the kernel function. + + Notes + ----- + Given two points :math:`\mathbf{p} = (x_p, y_p, z_p)` and :math:`\mathbf{q} + = (x_q, y_q, z_q)` defined in a Cartesian coordinate system, compute the + following kernel function: + + .. math:: + + k_{xz}(\mathbf{p}, \mathbf{q}) = + \frac{\partial}{\partial x \partial z} + \left( + \frac{1}{\lVert \mathbf{p} - \mathbf{q} \rVert_2} + \right) + = + \frac{ + 3 (x_p - x_q) (z_p - z_q) + }{ + \lVert \mathbf{p} - \mathbf{q} \rVert_2^5 + } + + where :math:`\lVert \cdot \rVert_2` refer to the :math:`L_2` norm (the + Euclidean distance between :math:`\mathbf{p}` and :math:`\mathbf{q}`). + """ + return 3 * (easting_p - easting_q) * (upward_p - upward_q) / distance**5
+ + + +
+[docs] +@jit(nopython=True) +def kernel_nu( + easting_p, northing_p, upward_p, easting_q, northing_q, upward_q, distance +): + r""" + Second derivative of the inverse of the distance along northing-upward + + .. important :: + + The coordinates of the two points must be in Cartesian coordinates and + have the same units. + + Parameters + ---------- + easting_p : float + Easting coordinate of point :math:`\mathbf{p}`. + northing_p : float + Northing coordinate of point :math:`\mathbf{p}`. + upward_p : float + Upward coordinate of point :math:`\mathbf{p}`. + easting_q : float + Easting coordinate of point :math:`\mathbf{q}`. + northing_q : float + Northing coordinate of point :math:`\mathbf{q}`. + upward_q : float + Upward coordinate of point :math:`\mathbf{q}`. + distance : float + Euclidean distance between points :math:`\mathbf{p}` and + :math:`\mathbf{q}`. + + Returns + ------- + kernel : float + Value of the kernel function. + + Notes + ----- + Given two points :math:`\mathbf{p} = (x_p, y_p, z_p)` and :math:`\mathbf{q} + = (x_q, y_q, z_q)` defined in a Cartesian coordinate system, compute the + following kernel function: + + .. math:: + + k_{yz}(\mathbf{p}, \mathbf{q}) = + \frac{\partial}{\partial y \partial z} + \left( + \frac{1}{\lVert \mathbf{p} - \mathbf{q} \rVert_2} + \right) + = + \frac{ + 3 (y_p - y_q) (z_p - z_q) + }{ + \lVert \mathbf{p} - \mathbf{q} \rVert_2^5 + } + + where :math:`\lVert \cdot \rVert_2` refer to the :math:`L_2` norm (the + Euclidean distance between :math:`\mathbf{p}` and :math:`\mathbf{q}`). + """ + return 3 * (northing_p - northing_q) * (upward_p - upward_q) / distance**5
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Source code for choclo.prism._gravity

+# Copyright (c) 2022 The Choclo Developers.
+# Distributed under the terms of the BSD 3-Clause License.
+# SPDX-License-Identifier: BSD-3-Clause
+#
+# This code is part of the Fatiando a Terra project (https://www.fatiando.org)
+#
+"""
+Gravity forward modelling functions for rectangular prisms
+"""
+import numpy as np
+from numba import jit
+
+from ..constants import GRAVITATIONAL_CONST
+from ._kernels import (
+    kernel_e,
+    kernel_ee,
+    kernel_en,
+    kernel_eu,
+    kernel_n,
+    kernel_nn,
+    kernel_nu,
+    kernel_pot,
+    kernel_u,
+    kernel_uu,
+)
+from ._utils import (
+    is_point_on_east_face,
+    is_point_on_easting_edge,
+    is_point_on_north_face,
+    is_point_on_northing_edge,
+    is_point_on_top_face,
+    is_point_on_upward_edge,
+)
+
+
+
+[docs] +@jit(nopython=True) +def gravity_pot( + easting, + northing, + upward, + prism_west, + prism_east, + prism_south, + prism_north, + prism_bottom, + prism_top, + density, +): + r""" + Gravitational potential field due to a rectangular prism + + Returns the gravitational potential field produced by a single rectangular + prism on a single computation point. + + Parameters + ---------- + easting : float + Easting coordinate of the observation point. Must be in meters. + northing : float + Northing coordinate of the observation point. Must be in meters. + upward : float + Upward coordinate of the observation point. Must be in meters. + prism_west : float + The West boundary of the prism. Must be in meters. + prism_east : float + The East boundary of the prism. Must be in meters. + prism_south : float + The South boundary of the prism. Must be in meters. + prism_north : float + The North boundary of the prism. Must be in meters. + prism_bottom : float + The bottom boundary of the prism. Must be in meters. + prism_top : float + The top boundary of the prism. Must be in meters. + density: float + Density of the rectangular prism in kilograms per cubic meter. + + Returns + ------- + potential : float + Gravitational potential field generated by the rectangular prism on the + observation point in :math:`\text{J}/\text{kg}`. + + Notes + ----- + Returns the gravitational potential field :math:`V(\mathbf{p})` on the + observation point :math:`\mathbf{p} = (x_p, y_p, z_p)` generated by + a single rectangular prism defined by its boundaries :math:`x_1, x_2, y_1, + y_2, z_1, z_2` and with a density :math:`\rho`: + + .. math:: + + V(\mathbf{p}) = + G + \rho \,\, + \Bigg\lvert \Bigg\lvert \Bigg\lvert + k_V(x, y, z) + \Bigg\rvert_{X_1}^{X_2} + \Bigg\rvert_{Y_1}^{Y_2} + \Bigg\rvert_{Z_1}^{Z_2} + + where + + .. math:: + + k_V(x, y, z) &= + x y \, \operatorname{safe-ln} (z, r) + + y z \, \operatorname{safe-ln} (x, r) + + z x \, \operatorname{safe-ln} (y, r) \\ + - \frac{x^2}{2} &\operatorname{safe-arctan} \left( yz, xr \right) + - \frac{y^2}{2} \operatorname{safe-arctan} \left( zx, yr \right) + - \frac{z^2}{2} \operatorname{safe-arctan} \left( xy, zr \right), + + .. math:: + + r = \sqrt{x^2 + y^2 + z^2}, + + and + + .. math:: + + X_1 = x_1 - x_p \\ + X_2 = x_2 - x_p \\ + Y_1 = y_1 - y_p \\ + Y_2 = y_2 - y_p \\ + Z_1 = z_1 - z_p \\ + Z_2 = z_2 - z_p + + are the shifted coordinates of the prism boundaries and :math:`G` is the + Universal Gravitational Constant. + + The :math:`\operatorname{safe-ln}` and :math:`\operatorname{safe-arctan}` + functions are defined as follows: + + .. math:: + + \operatorname{safe-ln}(x, r) = + \begin{cases} + 0 & x = 0, r = 0 \\ + \ln(x + r) & x \ge 0 \\ + \ln((r^2 - x^2) / (r - x)) & x < 0, r \ne -x \\ + -\ln(-2 x) & x < 0, r = -x + \end{cases} + + .. math:: + + \operatorname{safe-arctan} \left( y, x \right) = + \begin{cases} + \text{arctan}\left( \frac{y}{x} \right) & x \ne 0 \\ + \frac{\pi}{2} & x = 0 \quad \text{and} \quad y > 0 \\ + -\frac{\pi}{2} & x = 0 \quad \text{and} \quad y < 0 \\ + 0 & x = 0 \quad \text{and} \quad y = 0 \\ + \end{cases} + + These were defined after [Fukushima2020]_ and guarantee a good accuracy on + any observation point. + + References + ---------- + - [Nagy2000]_ + - [Nagy2002]_ + - [Fukushima2020]_ + """ + return ( + GRAVITATIONAL_CONST + * density + * _evaluate_kernel( + easting, + northing, + upward, + prism_west, + prism_east, + prism_south, + prism_north, + prism_bottom, + prism_top, + kernel_pot, + ) + )
+ + + +
+[docs] +@jit(nopython=True) +def gravity_e( + easting, + northing, + upward, + prism_west, + prism_east, + prism_south, + prism_north, + prism_bottom, + prism_top, + density, +): + r""" + Easting component of the gravitational acceleration due to a prism + + Returns the easting component of the gravitational acceleration produced by + a single rectangular prism on a single computation point. + + Parameters + ---------- + easting : float + Easting coordinate of the observation point. Must be in meters. + northing : float + Northing coordinate of the observation point. Must be in meters. + upward : float + Upward coordinate of the observation point. Must be in meters. + prism_west : float + The West boundary of the prism. Must be in meters. + prism_east : float + The East boundary of the prism. Must be in meters. + prism_south : float + The South boundary of the prism. Must be in meters. + prism_north : float + The North boundary of the prism. Must be in meters. + prism_bottom : float + The bottom boundary of the prism. Must be in meters. + prism_top : float + The top boundary of the prism. Must be in meters. + density: float + Density of the rectangular prism in kilograms per cubic meter. + + Returns + ------- + g_e : float + Easting component of the gravitational acceleration generated by the + rectangular prism on the observation point in + :math:`\text{m}/\text{s}^2`. + + Notes + ----- + Returns the easting component :math:`g_x(\mathbf{p})` of the gravitational + acceleration :math:`\mathbf{g}` on the observation point :math:`\mathbf{p} + = (x_p, y_p, z_p)` generated by a single rectangular prism defined by its + boundaries :math:`x_1, x_2, y_1, y_2, z_1, z_2` and with a density + :math:`\rho`: + + .. math:: + + g_x(\mathbf{p}) = + G + \rho \,\, + \Bigg\lvert \Bigg\lvert \Bigg\lvert + k_x(x, y, z) + \Bigg\rvert_{X_1}^{X_2} + \Bigg\rvert_{Y_1}^{Y_2} + \Bigg\rvert_{Z_1}^{Z_2} + + where + + .. math:: + + k_x(x, y, z) = + \left[ + y \, \operatorname{safe-ln} (z, r) + + z \, \operatorname{safe-ln} (y, r) + - x \, \operatorname{safe-arctan} \left( yz, xr \right) + \right] + + .. math:: + + r = \sqrt{x^2 + y^2 + z^2}, + + and + + .. math:: + + X_1 = x_1 - x_p \\ + X_2 = x_2 - x_p \\ + Y_1 = y_1 - y_p \\ + Y_2 = y_2 - y_p \\ + Z_1 = z_1 - z_p \\ + Z_2 = z_2 - z_p + + are the shifted coordinates of the prism boundaries and :math:`G` is the + Universal Gravitational Constant. + + The :math:`\operatorname{safe-ln}` and :math:`\operatorname{safe-arctan}` + functions are defined as follows: + + .. math:: + + \operatorname{safe-ln}(x, r) = + \begin{cases} + 0 & x = 0, r = 0 \\ + \ln(x + r) & x \ge 0 \\ + \ln((r^2 - x^2) / (r - x)) & x < 0, r \ne -x \\ + -\ln(-2 x) & x < 0, r = -x + \end{cases} + + .. math:: + + \operatorname{safe-arctan} \left( y, x \right) = + \begin{cases} + \text{arctan}\left( \frac{y}{x} \right) & x \ne 0 \\ + \frac{\pi}{2} & x = 0 \quad \text{and} \quad y > 0 \\ + -\frac{\pi}{2} & x = 0 \quad \text{and} \quad y < 0 \\ + 0 & x = 0 \quad \text{and} \quad y = 0 \\ + \end{cases} + + These were defined after [Fukushima2020]_ and guarantee a good accuracy on + any observation point. + + References + ---------- + - [Nagy2000]_ + - [Nagy2002]_ + - [Fukushima2020]_ + """ + return ( + GRAVITATIONAL_CONST + * density + * _evaluate_kernel( + easting, + northing, + upward, + prism_west, + prism_east, + prism_south, + prism_north, + prism_bottom, + prism_top, + kernel_e, + ) + )
+ + + +
+[docs] +@jit(nopython=True) +def gravity_n( + easting, + northing, + upward, + prism_west, + prism_east, + prism_south, + prism_north, + prism_bottom, + prism_top, + density, +): + r""" + Northing component of the gravitational acceleration due to a prism + + Returns the northing component of the gravitational acceleration produced + by a single rectangular prism on a single computation point. + + Parameters + ---------- + easting : float + Easting coordinate of the observation point. Must be in meters. + northing : float + Northing coordinate of the observation point. Must be in meters. + upward : float + Upward coordinate of the observation point. Must be in meters. + prism_west : float + The West boundary of the prism. Must be in meters. + prism_east : float + The East boundary of the prism. Must be in meters. + prism_south : float + The South boundary of the prism. Must be in meters. + prism_north : float + The North boundary of the prism. Must be in meters. + prism_bottom : float + The bottom boundary of the prism. Must be in meters. + prism_top : float + The top boundary of the prism. Must be in meters. + density: float + Density of the rectangular prism in kilograms per cubic meter. + + Returns + ------- + g_n : float + Northing component of the gravitational acceleration generated by the + rectangular prism on the observation point in + :math:`\text{m}/\text{s}^2`. + + Notes + ----- + Returns the northing component :math:`g_y(\mathbf{p})` of the gravitational + acceleration :math:`\mathbf{g}` on the observation point :math:`\mathbf{p} + = (x_p, y_p, z_p)` generated by a single rectangular prism defined by its + boundaries :math:`x_1, x_2, y_1, y_2, z_1, z_2` and with a density + :math:`\rho`: + + .. math:: + + g_y(\mathbf{p}) = + G + \rho \,\, + \Bigg\lvert \Bigg\lvert \Bigg\lvert + k_y(x, y, z) + \Bigg\rvert_{X_1}^{X_2} + \Bigg\rvert_{Y_1}^{Y_2} + \Bigg\rvert_{Z_1}^{Z_2} + + where + + .. math:: + + k_y(x, y, z) = + \left[ + z \, \operatorname{safe-ln} (x, r) + + x \, \operatorname{safe-ln} (z, r) + - y \, \operatorname{safe-arctan} \left( zx, yr \right) + \right] + + .. math:: + + r = \sqrt{x^2 + y^2 + z^2}, + + and + + .. math:: + + X_1 = x_1 - x_p \\ + X_2 = x_2 - x_p \\ + Y_1 = y_1 - y_p \\ + Y_2 = y_2 - y_p \\ + Z_1 = z_1 - z_p \\ + Z_2 = z_2 - z_p + + are the shifted coordinates of the prism boundaries and :math:`G` is the + Universal Gravitational Constant. + + The :math:`\operatorname{safe-ln}` and :math:`\operatorname{safe-arctan}` + functions are defined as follows: + + .. math:: + + \operatorname{safe-ln}(x, r) = + \begin{cases} + 0 & x = 0, r = 0 \\ + \ln(x + r) & x \ge 0 \\ + \ln((r^2 - x^2) / (r - x)) & x < 0, r \ne -x \\ + -\ln(-2 x) & x < 0, r = -x + \end{cases} + + .. math:: + + \operatorname{safe-arctan} \left( y, x \right) = + \begin{cases} + \text{arctan}\left( \frac{y}{x} \right) & x \ne 0 \\ + \frac{\pi}{2} & x = 0 \quad \text{and} \quad y > 0 \\ + -\frac{\pi}{2} & x = 0 \quad \text{and} \quad y < 0 \\ + 0 & x = 0 \quad \text{and} \quad y = 0 \\ + \end{cases} + + These were defined after [Fukushima2020]_ and guarantee a good accuracy on + any observation point. + + References + ---------- + - [Nagy2000]_ + - [Nagy2002]_ + - [Fukushima2020]_ + """ + return ( + GRAVITATIONAL_CONST + * density + * _evaluate_kernel( + easting, + northing, + upward, + prism_west, + prism_east, + prism_south, + prism_north, + prism_bottom, + prism_top, + kernel_n, + ) + )
+ + + +
+[docs] +@jit(nopython=True) +def gravity_u( + easting, + northing, + upward, + prism_west, + prism_east, + prism_south, + prism_north, + prism_bottom, + prism_top, + density, +): + r""" + Upward component of the gravitational acceleration due to a prism + + Returns the upward component of the gravitational acceleration produced by + a single rectangular prism on a single computation point. + + Parameters + ---------- + easting : float + Easting coordinate of the observation point. Must be in meters. + northing : float + Northing coordinate of the observation point. Must be in meters. + upward : float + Upward coordinate of the observation point. Must be in meters. + prism_west : float + The West boundary of the prism. Must be in meters. + prism_east : float + The East boundary of the prism. Must be in meters. + prism_south : float + The South boundary of the prism. Must be in meters. + prism_north : float + The North boundary of the prism. Must be in meters. + prism_bottom : float + The bottom boundary of the prism. Must be in meters. + prism_top : float + The top boundary of the prism. Must be in meters. + density: float + Density of the rectangular prism in kilograms per cubic meter. + + Returns + ------- + g_u : float + Upward component of the gravitational acceleration generated by the + rectangular prism on the observation point in + :math:`\text{m}/\text{s}^2`. + + Notes + ----- + Returns the upward component :math:`g_z(\mathbf{p})` of the gravitational + acceleration :math:`\mathbf{g}` on the observation point :math:`\mathbf{p} + = (x_p, y_p, z_p)` generated by a single rectangular prism defined by its + boundaries :math:`x_1, x_2, y_1, y_2, z_1, z_2` and with a density + :math:`\rho`: + + .. math:: + + g_z(\mathbf{p}) = + G + \rho \,\, + \Bigg\lvert \Bigg\lvert \Bigg\lvert + k_z(x, y, z) + \Bigg\rvert_{X_1}^{X_2} + \Bigg\rvert_{Y_1}^{Y_2} + \Bigg\rvert_{Z_1}^{Z_2} + + where + + .. math:: + + k_z(x, y, z) = + - \left[ + x \, \operatorname{safe-ln} (y, r) + + y \, \operatorname{safe-ln} (x, r) + - z \, \operatorname{safe-arctan} \left( xy, zr \right) + \right] + + .. math:: + + r = \sqrt{x^2 + y^2 + z^2}, + + and + + .. math:: + + X_1 = x_1 - x_p \\ + X_2 = x_2 - x_p \\ + Y_1 = y_1 - y_p \\ + Y_2 = y_2 - y_p \\ + Z_1 = z_1 - z_p \\ + Z_2 = z_2 - z_p + + are the shifted coordinates of the prism boundaries and :math:`G` is the + Universal Gravitational Constant. + + .. important + + The minus sign in the :math:`k_x(x, y, z)` function is needed to return + the **upward** component of the acceleration. [Nagy2000]_ and + [Nagy2002]_ equation corresponds to the *downward* coordinate. + + The :math:`\operatorname{safe-ln}` and :math:`\operatorname{safe-arctan}` + functions are defined as follows: + + .. math:: + + \operatorname{safe-ln}(x, r) = + \begin{cases} + 0 & x = 0, r = 0 \\ + \ln(x + r) & x \ge 0 \\ + \ln((r^2 - x^2) / (r - x)) & x < 0, r \ne -x \\ + -\ln(-2 x) & x < 0, r = -x + \end{cases} + + .. math:: + + \operatorname{safe-arctan} \left( y, x \right) = + \begin{cases} + \text{arctan}\left( \frac{y}{x} \right) & x \ne 0 \\ + \frac{\pi}{2} & x = 0 \quad \text{and} \quad y > 0 \\ + -\frac{\pi}{2} & x = 0 \quad \text{and} \quad y < 0 \\ + 0 & x = 0 \quad \text{and} \quad y = 0 \\ + \end{cases} + + These were defined after [Fukushima2020]_ and guarantee a good accuracy on + any observation point. + + References + ---------- + - [Nagy2000]_ + - [Nagy2002]_ + - [Fukushima2020]_ + """ + return ( + GRAVITATIONAL_CONST + * density + * _evaluate_kernel( + easting, + northing, + upward, + prism_west, + prism_east, + prism_south, + prism_north, + prism_bottom, + prism_top, + kernel_u, + ) + )
+ + + +
+[docs] +@jit(nopython=True) +def gravity_ee( + easting, + northing, + upward, + prism_west, + prism_east, + prism_south, + prism_north, + prism_bottom, + prism_top, + density, +): + r""" + Easting-easting component of the gravitational tensor due to a prism + + Returns the easting-easting component of the gravitational tensor produced + by a single rectangular prism on a single computation point. + + Parameters + ---------- + easting : float + Easting coordinate of the observation point. Must be in meters. + northing : float + Northing coordinate of the observation point. Must be in meters. + upward : float + Upward coordinate of the observation point. Must be in meters. + prism_west : float + The West boundary of the prism. Must be in meters. + prism_east : float + The East boundary of the prism. Must be in meters. + prism_south : float + The South boundary of the prism. Must be in meters. + prism_north : float + The North boundary of the prism. Must be in meters. + prism_bottom : float + The bottom boundary of the prism. Must be in meters. + prism_top : float + The top boundary of the prism. Must be in meters. + density: float + Density of the rectangular prism in kilograms per cubic meter. + + Returns + ------- + g_ee : float + Easting-easting component of the gravitational tensor generated by the + rectangular prism on the observation point in + :math:`\text{m}/\text{s}^2`. + Return ``numpy.nan`` if the observation point falls in a singular + point: prism vertices or prism edges perpendicular to the easting + direction. + + Notes + ----- + Returns the easting-easting component :math:`g_{xx}(\mathbf{p})` of the + gravitational tensor :math:`\mathbf{T}` on the observation point + :math:`\mathbf{p} = (x_p, y_p, z_p)` generated by a single rectangular + prism defined by its boundaries :math:`x_1, x_2, y_1, y_2, z_1, z_2` and + with a density :math:`\rho`: + + .. math:: + + g_{xx}(\mathbf{p}) = + G + \rho \,\, + \Bigg\lvert \Bigg\lvert \Bigg\lvert + k_{xx}(x, y, z) + \Bigg\rvert_{X_1}^{X_2} + \Bigg\rvert_{Y_1}^{Y_2} + \Bigg\rvert_{Z_1}^{Z_2} + + where + + .. math:: + + k_{xx}(x, y, z) = - \operatorname{safe-arctan} \left( yz, xr \right), + + .. math:: + + r = \sqrt{x^2 + y^2 + z^2}, + + and + + .. math:: + + X_1 = x_1 - x_p \\ + X_2 = x_2 - x_p \\ + Y_1 = y_1 - y_p \\ + Y_2 = y_2 - y_p \\ + Z_1 = z_1 - z_p \\ + Z_2 = z_2 - z_p + + are the shifted coordinates of the prism boundaries and :math:`G` is the + Universal Gravitational Constant. + + The :math:`\operatorname{safe-arctan}` function is defined as follows: + + .. math:: + + \operatorname{safe-arctan} \left( y, x \right) = + \begin{cases} + \text{arctan}\left( \frac{y}{x} \right) & x \ne 0 \\ + \frac{\pi}{2} & x = 0 \quad \text{and} \quad y > 0 \\ + -\frac{\pi}{2} & x = 0 \quad \text{and} \quad y < 0 \\ + 0 & x = 0 \quad \text{and} \quad y = 0 \\ + \end{cases} + + It was defined after [Fukushima2020]_ and guarantee a good accuracy on any + observation point. + + References + ---------- + - [Nagy2000]_ + - [Nagy2002]_ + - [Fukushima2020]_ + """ + # Return nan if the observation point falls on a singular point. + # For the g_ee this are edges perpendicular to the easting direction + # (parallel to northing and upward) + if is_point_on_northing_edge( + easting, + northing, + upward, + prism_west, + prism_east, + prism_south, + prism_north, + prism_bottom, + prism_top, + ) or is_point_on_upward_edge( + easting, + northing, + upward, + prism_west, + prism_east, + prism_south, + prism_north, + prism_bottom, + prism_top, + ): + return np.nan + # Evaluate kernel function on each vertex of the prism + result = _evaluate_kernel( + easting, + northing, + upward, + prism_west, + prism_east, + prism_south, + prism_north, + prism_bottom, + prism_top, + kernel_ee, + ) + # Add 4 pi if computing on the eastern face to return the limit approaching + # from outside (approaching from the east) + if is_point_on_east_face( + easting, + northing, + upward, + prism_west, + prism_east, + prism_south, + prism_north, + prism_bottom, + prism_top, + ): + result += 4 * np.pi + return GRAVITATIONAL_CONST * density * result
+ + + +
+[docs] +@jit(nopython=True) +def gravity_nn( + easting, + northing, + upward, + prism_west, + prism_east, + prism_south, + prism_north, + prism_bottom, + prism_top, + density, +): + r""" + Northing-northing component of the gravitational tensor due to a prism + + Returns the northing-northing component of the gravitational tensor + produced by a single rectangular prism on a single computation point. + + Parameters + ---------- + easting : float + Easting coordinate of the observation point. Must be in meters. + northing : float + Northing coordinate of the observation point. Must be in meters. + upward : float + Upward coordinate of the observation point. Must be in meters. + prism_west : float + The West boundary of the prism. Must be in meters. + prism_east : float + The East boundary of the prism. Must be in meters. + prism_south : float + The South boundary of the prism. Must be in meters. + prism_north : float + The North boundary of the prism. Must be in meters. + prism_bottom : float + The bottom boundary of the prism. Must be in meters. + prism_top : float + The top boundary of the prism. Must be in meters. + density: float + Density of the rectangular prism in kilograms per cubic meter. + + Returns + ------- + g_nn : float + Northing-northing component of the gravitational tensor generated by + the rectangular prism on the observation point in + :math:`\text{m}/\text{s}^2`. + Return ``numpy.nan`` if the observation point falls in a singular + point: prism vertices or prism edges perpendicular to the northing + direction. + + Notes + ----- + Returns the northing-northing component :math:`g_{yy}(\mathbf{p})` of the + gravitational tensor :math:`\mathbf{T}` on the observation point + :math:`\mathbf{p} = (x_p, y_p, z_p)` generated by a single rectangular + prism defined by its boundaries :math:`x_1, x_2, y_1, y_2, z_1, z_2` and + with a density :math:`\rho`: + + .. math:: + + g_{yy}(\mathbf{p}) = + G + \rho \,\, + \Bigg\lvert \Bigg\lvert \Bigg\lvert + k_{yy}(x, y, z) + \Bigg\rvert_{X_1}^{X_2} + \Bigg\rvert_{Y_1}^{Y_2} + \Bigg\rvert_{Z_1}^{Z_2} + + where + + .. math:: + + k_{yy}(x, y, z) = - \operatorname{safe-arctan} \left( zx, yr \right), + + .. math:: + + r = \sqrt{x^2 + y^2 + z^2}, + + and + + .. math:: + + X_1 = x_1 - x_p \\ + X_2 = x_2 - x_p \\ + Y_1 = y_1 - y_p \\ + Y_2 = y_2 - y_p \\ + Z_1 = z_1 - z_p \\ + Z_2 = z_2 - z_p + + are the shifted coordinates of the prism boundaries and :math:`G` is the + Universal Gravitational Constant. + + The :math:`\operatorname{safe-arctan}` function is defined as follows: + + .. math:: + + \operatorname{safe-arctan} \left( y, x \right) = + \begin{cases} + \text{arctan}\left( \frac{y}{x} \right) & x \ne 0 \\ + \frac{\pi}{2} & x = 0 \quad \text{and} \quad y > 0 \\ + -\frac{\pi}{2} & x = 0 \quad \text{and} \quad y < 0 \\ + 0 & x = 0 \quad \text{and} \quad y = 0 \\ + \end{cases} + + It was defined after [Fukushima2020]_ and guarantee a good accuracy on any + observation point. + + References + ---------- + - [Nagy2000]_ + - [Nagy2002]_ + - [Fukushima2020]_ + """ + # Return nan if the observation point falls on a singular point. + # For the g_nn this are edges perpendicular to the northing direction + # (parallel to easting and upward) + if is_point_on_easting_edge( + easting, + northing, + upward, + prism_west, + prism_east, + prism_south, + prism_north, + prism_bottom, + prism_top, + ) or is_point_on_upward_edge( + easting, + northing, + upward, + prism_west, + prism_east, + prism_south, + prism_north, + prism_bottom, + prism_top, + ): + return np.nan + # Evaluate kernel function on each vertex of the prism + result = _evaluate_kernel( + easting, + northing, + upward, + prism_west, + prism_east, + prism_south, + prism_north, + prism_bottom, + prism_top, + kernel_nn, + ) + # Add 4 pi if computing on the northern face to return the limit + # approaching from outside (approaching from the north) + if is_point_on_north_face( + easting, + northing, + upward, + prism_west, + prism_east, + prism_south, + prism_north, + prism_bottom, + prism_top, + ): + result += 4 * np.pi + return GRAVITATIONAL_CONST * density * result
+ + + +
+[docs] +@jit(nopython=True) +def gravity_uu( + easting, + northing, + upward, + prism_west, + prism_east, + prism_south, + prism_north, + prism_bottom, + prism_top, + density, +): + r""" + Upward-upward component of the gravitational tensor due to a prism + + Returns the northing-northing component of the gravitational tensor + produced by a single rectangular prism on a single computation point. + + Parameters + ---------- + easting : float + Easting coordinate of the observation point. Must be in meters. + northing : float + Northing coordinate of the observation point. Must be in meters. + upward : float + Upward coordinate of the observation point. Must be in meters. + prism_west : float + The West boundary of the prism. Must be in meters. + prism_east : float + The East boundary of the prism. Must be in meters. + prism_south : float + The South boundary of the prism. Must be in meters. + prism_north : float + The North boundary of the prism. Must be in meters. + prism_bottom : float + The bottom boundary of the prism. Must be in meters. + prism_top : float + The top boundary of the prism. Must be in meters. + density: float + Density of the rectangular prism in kilograms per cubic meter. + + Returns + ------- + g_uu : float + Upward-upward component of the gravitational tensor generated by + the rectangular prism on the observation point in + :math:`\text{m}/\text{s}^2`. + Return ``numpy.nan`` if the observation point falls in a singular + point: prism vertices or prism edges perpendicular to the upward + direction. + + Notes + ----- + Returns the upward-upward component :math:`g_{zz}(\mathbf{p})` of the + gravitational tensor :math:`\mathbf{T}` on the observation point + :math:`\mathbf{p} = (x_p, y_p, z_p)` generated by a single rectangular + prism defined by its boundaries :math:`x_1, x_2, y_1, y_2, z_1, z_2` and + with a density :math:`\rho`: + + .. math:: + + g_{zz}(\mathbf{p}) = + G + \rho \,\, + \Bigg\lvert \Bigg\lvert \Bigg\lvert + k_{zz}(x, y, z) + \Bigg\rvert_{X_1}^{X_2} + \Bigg\rvert_{Y_1}^{Y_2} + \Bigg\rvert_{Z_1}^{Z_2} + + where + + .. math:: + + k_{zz}(x, y, z) = - \operatorname{safe-arctan} \left( xy, zr \right), + + .. math:: + + r = \sqrt{x^2 + y^2 + z^2}, + + and + + .. math:: + + X_1 = x_1 - x_p \\ + X_2 = x_2 - x_p \\ + Y_1 = y_1 - y_p \\ + Y_2 = y_2 - y_p \\ + Z_1 = z_1 - z_p \\ + Z_2 = z_2 - z_p + + are the shifted coordinates of the prism boundaries and :math:`G` is the + Universal Gravitational Constant. + + The :math:`\operatorname{safe-arctan}` function is defined as follows: + + .. math:: + + \operatorname{safe-arctan} \left( y, x \right) = + \begin{cases} + \text{arctan}\left( \frac{y}{x} \right) & x \ne 0 \\ + \frac{\pi}{2} & x = 0 \quad \text{and} \quad y > 0 \\ + -\frac{\pi}{2} & x = 0 \quad \text{and} \quad y < 0 \\ + 0 & x = 0 \quad \text{and} \quad y = 0 \\ + \end{cases} + + It was defined after [Fukushima2020]_ and guarantee a good accuracy on any + observation point. + + References + ---------- + - [Nagy2000]_ + - [Nagy2002]_ + - [Fukushima2020]_ + """ + # Return nan if the observation point falls on a singular point. + # For the g_uu this are edges perpendicular to the upward direction + # (parallel to easting and northing) + if is_point_on_easting_edge( + easting, + northing, + upward, + prism_west, + prism_east, + prism_south, + prism_north, + prism_bottom, + prism_top, + ) or is_point_on_northing_edge( + easting, + northing, + upward, + prism_west, + prism_east, + prism_south, + prism_north, + prism_bottom, + prism_top, + ): + return np.nan + # Evaluate kernel function on each vertex of the prism + result = _evaluate_kernel( + easting, + northing, + upward, + prism_west, + prism_east, + prism_south, + prism_north, + prism_bottom, + prism_top, + kernel_uu, + ) + # Add 4 pi if computing on the top face to return the limit approaching + # from outside (approaching from the top) + if is_point_on_top_face( + easting, + northing, + upward, + prism_west, + prism_east, + prism_south, + prism_north, + prism_bottom, + prism_top, + ): + result += 4 * np.pi + return GRAVITATIONAL_CONST * density * result
+ + + +
+[docs] +@jit(nopython=True) +def gravity_en( + easting, + northing, + upward, + prism_west, + prism_east, + prism_south, + prism_north, + prism_bottom, + prism_top, + density, +): + r""" + Easting-northing component of the gravitational tensor due to a prism + + Returns the northing-northing component of the gravitational tensor + produced by a single rectangular prism on a single computation point. + + Parameters + ---------- + easting : float + Easting coordinate of the observation point. Must be in meters. + northing : float + Northing coordinate of the observation point. Must be in meters. + upward : float + Upward coordinate of the observation point. Must be in meters. + prism_west : float + The West boundary of the prism. Must be in meters. + prism_east : float + The East boundary of the prism. Must be in meters. + prism_south : float + The South boundary of the prism. Must be in meters. + prism_north : float + The North boundary of the prism. Must be in meters. + prism_bottom : float + The bottom boundary of the prism. Must be in meters. + prism_top : float + The top boundary of the prism. Must be in meters. + density: float + Density of the rectangular prism in kilograms per cubic meter. + + Returns + ------- + g_en : float + Easting-northing component of the gravitational tensor generated by the + rectangular prism on the observation point in + :math:`\text{m}/\text{s}^2`. + Return ``numpy.nan`` if the observation point falls in a singular + point: prism vertices or prism edges parallel to the upward direction. + + Notes + ----- + Returns the easting-northing component :math:`g_{xy}(\mathbf{p})` of the + gravitational tensor :math:`\mathbf{T}` on the observation point + :math:`\mathbf{p} = (x_p, y_p, z_p)` generated by a single rectangular + prism defined by its boundaries :math:`x_1, x_2, y_1, y_2, z_1, z_2` and + with a density :math:`\rho`: + + .. math:: + + g_{xy}(\mathbf{p}) = + G + \rho \,\, + \Bigg\lvert \Bigg\lvert \Bigg\lvert + k_{xy}(x, y, z) + \Bigg\rvert_{X_1}^{X_2} + \Bigg\rvert_{Y_1}^{Y_2} + \Bigg\rvert_{Z_1}^{Z_2} + + where + + .. math:: + + k_{xy}(x, y, z) = \operatorname{safe-ln} \left( z, r \right), + + .. math:: + + r = \sqrt{x^2 + y^2 + z^2}, + + and + + .. math:: + + X_1 = x_1 - x_p \\ + X_2 = x_2 - x_p \\ + Y_1 = y_1 - y_p \\ + Y_2 = y_2 - y_p \\ + Z_1 = z_1 - z_p \\ + Z_2 = z_2 - z_p + + are the shifted coordinates of the prism boundaries and :math:`G` is the + Universal Gravitational Constant. + + The :math:`\operatorname{safe-ln}` function is defined as follows: + + .. math:: + + \operatorname{safe-ln}(x, r) = + \begin{cases} + 0 & x = 0, r = 0 \\ + \ln(x + r) & x \ge 0 \\ + \ln((r^2 - x^2) / (r - x)) & x < 0, r \ne -x \\ + -\ln(-2 x) & x < 0, r = -x + \end{cases} + + It was defined after [Fukushima2020]_ and guarantee a good accuracy on any + observation point. + + References + ---------- + - [Nagy2000]_ + - [Nagy2002]_ + - [Fukushima2020]_ + """ + # Return nan if the observation point falls on a singular point. + # For g_en this are edges parallel to to the upward direction + if is_point_on_upward_edge( + easting, + northing, + upward, + prism_west, + prism_east, + prism_south, + prism_north, + prism_bottom, + prism_top, + ): + return np.nan + return ( + GRAVITATIONAL_CONST + * density + * _evaluate_kernel( + easting, + northing, + upward, + prism_west, + prism_east, + prism_south, + prism_north, + prism_bottom, + prism_top, + kernel_en, + ) + )
+ + + +
+[docs] +@jit(nopython=True) +def gravity_eu( + easting, + northing, + upward, + prism_west, + prism_east, + prism_south, + prism_north, + prism_bottom, + prism_top, + density, +): + r""" + Easting-upward component of the gravitational tensor due to a prism + + Returns the easting-upward component of the gravitational tensor + produced by a single rectangular prism on a single computation point. + + Parameters + ---------- + easting : float + Easting coordinate of the observation point. Must be in meters. + northing : float + Northing coordinate of the observation point. Must be in meters. + upward : float + Upward coordinate of the observation point. Must be in meters. + prism_west : float + The West boundary of the prism. Must be in meters. + prism_east : float + The East boundary of the prism. Must be in meters. + prism_south : float + The South boundary of the prism. Must be in meters. + prism_north : float + The North boundary of the prism. Must be in meters. + prism_bottom : float + The bottom boundary of the prism. Must be in meters. + prism_top : float + The top boundary of the prism. Must be in meters. + density: float + Density of the rectangular prism in kilograms per cubic meter. + + Returns + ------- + g_eu : float + Easting-upward component of the gravitational tensor generated by the + rectangular prism on the observation point in + :math:`\text{m}/\text{s}^2`. + Return ``numpy.nan`` if the observation point falls in a singular + point: prism vertices or prism edges parallel to the northing + direction. + + Notes + ----- + Returns the easting-upward component :math:`g_{xz}(\mathbf{p})` of the + gravitational tensor :math:`\mathbf{T}` on the observation point + :math:`\mathbf{p} = (x_p, y_p, z_p)` generated by a single rectangular + prism defined by its boundaries :math:`x_1, x_2, y_1, y_2, z_1, z_2` and + with a density :math:`\rho`: + + .. math:: + + g_{xz}(\mathbf{p}) = + G + \rho \,\, + \Bigg\lvert \Bigg\lvert \Bigg\lvert + k_{xz}(x, y, z) + \Bigg\rvert_{X_1}^{X_2} + \Bigg\rvert_{Y_1}^{Y_2} + \Bigg\rvert_{Z_1}^{Z_2} + + where + + .. math:: + + k_{xz}(x, y, z) = \operatorname{safe-ln} \left( y, r \right), + + .. math:: + + r = \sqrt{x^2 + y^2 + z^2}, + + and + + .. math:: + + X_1 = x_1 - x_p \\ + X_2 = x_2 - x_p \\ + Y_1 = y_1 - y_p \\ + Y_2 = y_2 - y_p \\ + Z_1 = z_1 - z_p \\ + Z_2 = z_2 - z_p + + are the shifted coordinates of the prism boundaries and :math:`G` is the + Universal Gravitational Constant. + + The :math:`\operatorname{safe-ln}` function is defined as follows: + + .. math:: + + \operatorname{safe-ln}(x, r) = + \begin{cases} + 0 & x = 0, r = 0 \\ + \ln(x + r) & x \ge 0 \\ + \ln((r^2 - x^2) / (r - x)) & x < 0, r \ne -x \\ + -\ln(-2 x) & x < 0, r = -x + \end{cases} + + It was defined after [Fukushima2020]_ and guarantee a good accuracy on any + observation point. + + References + ---------- + - [Nagy2000]_ + - [Nagy2002]_ + - [Fukushima2020]_ + """ + # Return nan if the observation point falls on a singular point. + # For g_eu this are edges parallel to to the northing direction + if is_point_on_northing_edge( + easting, + northing, + upward, + prism_west, + prism_east, + prism_south, + prism_north, + prism_bottom, + prism_top, + ): + return np.nan + return ( + GRAVITATIONAL_CONST + * density + * _evaluate_kernel( + easting, + northing, + upward, + prism_west, + prism_east, + prism_south, + prism_north, + prism_bottom, + prism_top, + kernel_eu, + ) + )
+ + + +
+[docs] +@jit(nopython=True) +def gravity_nu( + easting, + northing, + upward, + prism_west, + prism_east, + prism_south, + prism_north, + prism_bottom, + prism_top, + density, +): + r""" + Northing-upward component of the gravitational tensor due to a prism + + Returns the northing-upward component of the gravitational tensor + produced by a single rectangular prism on a single computation point. + + Parameters + ---------- + easting : float + Easting coordinate of the observation point. Must be in meters. + northing : float + Northing coordinate of the observation point. Must be in meters. + upward : float + Upward coordinate of the observation point. Must be in meters. + prism_west : float + The West boundary of the prism. Must be in meters. + prism_east : float + The East boundary of the prism. Must be in meters. + prism_south : float + The South boundary of the prism. Must be in meters. + prism_north : float + The North boundary of the prism. Must be in meters. + prism_bottom : float + The bottom boundary of the prism. Must be in meters. + prism_top : float + The top boundary of the prism. Must be in meters. + density: float + Density of the rectangular prism in kilograms per cubic meter. + + Returns + ------- + g_nu : float + Northing-upward component of the gravitational tensor generated by the + rectangular prism on the observation point in + :math:`\text{m}/\text{s}^2`. + Return ``numpy.nan`` if the observation point falls in a singular + point: prism vertices or prism edges parallel to the easting + direction. + + Notes + ----- + Returns the northing-upward component :math:`g_{yz}(\mathbf{p})` of the + gravitational tensor :math:`\mathbf{T}` on the observation point + :math:`\mathbf{p} = (x_p, y_p, z_p)` generated by a single rectangular + prism defined by its boundaries :math:`x_1, x_2, y_1, y_2, z_1, z_2` and + with a density :math:`\rho`: + + .. math:: + + g_{yz}(\mathbf{p}) = + G + \rho \,\, + \Bigg\lvert \Bigg\lvert \Bigg\lvert + k_{yz}(x, y, z) + \Bigg\rvert_{X_1}^{X_2} + \Bigg\rvert_{Y_1}^{Y_2} + \Bigg\rvert_{Z_1}^{Z_2} + + where + + .. math:: + + k_{yz}(x, y, z) = \operatorname{safe-ln} \left( x, r \right), + + .. math:: + + r = \sqrt{x^2 + y^2 + z^2}, + + and + + .. math:: + + X_1 = x_1 - x_p \\ + X_2 = x_2 - x_p \\ + Y_1 = y_1 - y_p \\ + Y_2 = y_2 - y_p \\ + Z_1 = z_1 - z_p \\ + Z_2 = z_2 - z_p + + are the shifted coordinates of the prism boundaries and :math:`G` is the + Universal Gravitational Constant. + + The :math:`\operatorname{safe-ln}` function is defined as follows: + + .. math:: + + \operatorname{safe-ln}(x, r) = + \begin{cases} + 0 & x = 0, r = 0 \\ + \ln(x + r) & x \ge 0 \\ + \ln((r^2 - x^2) / (r - x)) & x < 0, r \ne -x \\ + -\ln(-2 x) & x < 0, r = -x + \end{cases} + + It was defined after [Fukushima2020]_ and guarantee a good accuracy on any + observation point. + + References + ---------- + - [Nagy2000]_ + - [Nagy2002]_ + - [Fukushima2020]_ + """ + # Return nan if the observation point falls on a singular point. + # For g_nu this are edges parallel to to the easting direction + if is_point_on_easting_edge( + easting, + northing, + upward, + prism_west, + prism_east, + prism_south, + prism_north, + prism_bottom, + prism_top, + ): + return np.nan + return ( + GRAVITATIONAL_CONST + * density + * _evaluate_kernel( + easting, + northing, + upward, + prism_west, + prism_east, + prism_south, + prism_north, + prism_bottom, + prism_top, + kernel_nu, + ) + )
+ + + +@jit(nopython=True) +def _evaluate_kernel( + easting, + northing, + upward, + prism_west, + prism_east, + prism_south, + prism_north, + prism_bottom, + prism_top, + kernel, +): + r""" + Evaluate a kernel function on every shifted vertex of a prism + + Parameters + ---------- + easting : float + Easting coordinate of the observation point. Must be in meters. + northing : float + Northing coordinate of the observation point. Must be in meters. + upward : float + Upward coordinate of the observation point. Must be in meters. + prism_west : float + The West boundary of the prism. Must be in meters. + prism_east : float + The East boundary of the prism. Must be in meters. + prism_south : float + The South boundary of the prism. Must be in meters. + prism_north : float + The North boundary of the prism. Must be in meters. + prism_bottom : float + The bottom boundary of the prism. Must be in meters. + prism_top : float + The top boundary of the prism. Must be in meters. + kernel : callable + Kernel function that will be evaluated on each one of the shifted + vertices of the prism. + + Returns + ------- + result : float + Evaluation of the kernel function on each one of the vertices of the + prism. + + Notes + ----- + This function evaluates a numerical kernel :math:`k(x, y, z)` on each one + of the vertices of the prism: + + .. math:: + + v(\mathbf{p}) = + \Bigg\lvert \Bigg\lvert \Bigg\lvert + k(x, y, z) + \Bigg\rvert_{X_1}^{X_2} + \Bigg\rvert_{Y_1}^{Y_2} + \Bigg\rvert_{Z_1}^{Z_2} + + where :math:`X_1`, :math:`X_2`, :math:`Y_1`, :math:`Y_2`, :math:`Z_1` and + :math:`Z_2` are boundaries of the rectangular prism in the *shifted + coordinates* defined by the Cartesian coordinate system with its origin + located on the observation point :math:`\mathbf{p}`. + + References + ---------- + - [Nagy2000]_ + - [Nagy2002]_ + """ + # Initialize result float to zero + result = 0 + # Iterate over the vertices of the prism + for i in range(2): + # Compute shifted easting coordinate + if i == 0: + shift_east = prism_east - easting + else: + shift_east = prism_west - easting + shift_east_sq = shift_east**2 + for j in range(2): + # Compute shifted northing coordinate + if j == 0: + shift_north = prism_north - northing + else: + shift_north = prism_south - northing + shift_north_sq = shift_north**2 + for k in range(2): + # Compute shifted upward coordinate + if k == 0: + shift_upward = prism_top - upward + else: + shift_upward = prism_bottom - upward + shift_upward_sq = shift_upward**2 + # Compute the radius + radius = np.sqrt(shift_east_sq + shift_north_sq + shift_upward_sq) + # If i, j or k is 1, the corresponding shifted + # coordinate will refer to the lower boundary, + # meaning the corresponding term should have a minus + # sign. + result += (-1) ** (i + j + k) * kernel( + shift_east, shift_north, shift_upward, radius + ) + return result +
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Source code for choclo.prism._kernels

+# Copyright (c) 2022 The Choclo Developers.
+# Distributed under the terms of the BSD 3-Clause License.
+# SPDX-License-Identifier: BSD-3-Clause
+#
+# This code is part of the Fatiando a Terra project (https://www.fatiando.org)
+#
+"""
+Kernel functions for rectangular prisms
+"""
+import numpy as np
+from numba import jit
+
+
+
+[docs] +@jit(nopython=True) +def kernel_pot(easting, northing, upward, radius): + r""" + Kernel for the potential field due to a rectangular prism + + Evaluates the integration kernel for the potential field generated by + a prism [Nagy2000] on a single vertex of the prism. The coordinates that + must be passed are shifted coordinates: the coordinates of the vertex from + a Cartesian coordinate system whose origin is located in the observation + point. + + This function makes use of a safe natural logarithmic function and a safe + arctangent function [Fukushima2020]_ that guarantee a good accuracy on + every observation point. + + Parameters + ---------- + easting : float + Shifted easting coordinate of the vertex of the prism. Must be in + meters. + northing : float + Shifted northing coordinate of the vertex of the prism. Must be in + meters. + upward : float + Shifted upward coordinate of the vertex of the prism. Must be in + meters. + radius : float + Square root of the sum of the squares of the ``easting``, ``northing`` + and ``upward`` shifted coordinates. + + Returns + ------- + kernel : float + Value of the numerical kernel function for the potential field due to + a rectangular prism evaluated on a single vertex. + + Notes + ----- + Computes the following numerical kernel on the passed *shifted + coordinates*: + + .. math:: + + k_V(x, y, z) &= + x y \, \operatorname{safe-ln} (z + r) + + y z \, \operatorname{safe-ln} (x + r) + + z x \, \operatorname{safe-ln} (y + r) \\ + & - \frac{x^2}{2} \operatorname{safe-arctan} \left( yz, xr \right) + - \frac{y^2}{2} \operatorname{safe-arctan} \left( zx, yr \right) + - \frac{z^2}{2} \operatorname{safe-arctan} \left( xy, zr \right) + + where + + .. math:: + + \operatorname{safe-ln}(x) = + \begin{cases} + 0 & |x| < 10^{-10} \\ + \ln (x) + \end{cases} + + and + + .. math:: + + \operatorname{safe-arctan} \left( y, x \right) = + \begin{cases} + \text{arctan}\left( \frac{y}{x} \right) & x \ne 0 \\ + \frac{\pi}{2} & x = 0 \quad \text{and} \quad y > 0 \\ + -\frac{\pi}{2} & x = 0 \quad \text{and} \quad y < 0 \\ + 0 & x = 0 \quad \text{and} \quad y = 0 \\ + \end{cases} + + References + ---------- + - [Nagy2000]_ + - [Nagy2002]_ + - [Fukushima2020]_ + """ + kernel = ( + easting * northing * _safe_log(upward, radius) + + northing * upward * _safe_log(easting, radius) + + easting * upward * _safe_log(northing, radius) + - 0.5 * easting**2 * _safe_atan2(upward * northing, easting * radius) + - 0.5 * northing**2 * _safe_atan2(upward * easting, northing * radius) + - 0.5 * upward**2 * _safe_atan2(easting * northing, upward * radius) + ) + return kernel
+ + + +
+[docs] +@jit(nopython=True) +def kernel_e(easting, northing, upward, radius): + r""" + Kernel for easting component of the gradient due to a rectangular prism + + Evaluates the integration kernel for the easting component of the gradient + of the potential field generated by a prism [Nagy2000]_ on a single vertex + of the prism. The coordinates that must be passed are shifted coordinates: + the coordinates of the vertex from a Cartesian coordinate system whose + origin is located in the observation point. + + This function makes use of a safe natural logarithmic function and a safe + arctangent function [Fukushima2020]_ that guarantee a good accuracy on + every observation point. + + Parameters + ---------- + easting : float + Shifted easting coordinate of the vertex of the prism. Must be in + meters. + northing : float + Shifted northing coordinate of the vertex of the prism. Must be in + meters. + upward : float + Shifted upward coordinate of the vertex of the prism. Must be in + meters. + radius : float + Square root of the sum of the squares of the ``easting``, ``northing`` + and ``upward`` shifted coordinates. + + Returns + ------- + kernel : float + Value of the numerical kernel function for the easting component of the + gradient of the potential field due to a rectangular prism evaluated on + a single vertex. + + Notes + ----- + Computes the following numerical kernel on the passed *shifted + coordinates*: + + .. math:: + + k_x(x, y, z) = + -\left[ + y \, \operatorname{safe-ln} (z + r) + + z \, \operatorname{safe-ln} (y + r) + - x \, \operatorname{safe-arctan} \left( yz, xr \right) + \right] + + where + + .. math:: + + \operatorname{safe-ln}(x) = + \begin{cases} + 0 & |x| < 10^{-10} \\ + \ln (x) + \end{cases} + + and + + .. math:: + + \operatorname{safe-arctan} \left( y, x \right) = + \begin{cases} + \text{arctan}\left( \frac{y}{x} \right) & x \ne 0 \\ + \frac{\pi}{2} & x = 0 \quad \text{and} \quad y > 0 \\ + -\frac{\pi}{2} & x = 0 \quad \text{and} \quad y < 0 \\ + 0 & x = 0 \quad \text{and} \quad y = 0 \\ + \end{cases} + + .. important:: + + In the first equation a minus sign has been added to the one obtained + by [Nagy2000]_ in order to compute the numerical kernel for the + **eastward** component instead for the westward one. + + References + ---------- + - [Nagy2000]_ + - [Nagy2002]_ + - [Fukushima2020]_ + """ + kernel = -( + northing * _safe_log(upward, radius) + + upward * _safe_log(northing, radius) + - easting * _safe_atan2(northing * upward, easting * radius) + ) + return kernel
+ + + +
+[docs] +@jit(nopython=True) +def kernel_n(easting, northing, upward, radius): + r""" + Kernel for northing component of the gradient due to a rectangular prism + + Evaluates the integration kernel for the northing component of the gradient + of the potential field generated by a prism [Nagy2000]_ on a single vertex + of the prism. The coordinates that must be passed are shifted coordinates: + the coordinates of the vertex from a Cartesian coordinate system whose + origin is located in the observation point. + + This function makes use of a safe natural logarithmic function and a safe + arctangent function [Fukushima2020]_ that guarantee a good accuracy on + every observation point. + + Parameters + ---------- + easting : float + Shifted easting coordinate of the vertex of the prism. Must be in + meters. + northing : float + Shifted northing coordinate of the vertex of the prism. Must be in + meters. + upward : float + Shifted upward coordinate of the vertex of the prism. Must be in + meters. + radius : float + Square root of the sum of the squares of the ``easting``, ``northing`` + and ``upward`` shifted coordinates. + + Returns + ------- + kernel : float + Value of the numerical kernel function for the northing component of + the gradient of the potential field due to a rectangular prism + evaluated on a single vertex. + + Notes + ----- + Computes the following numerical kernel on the passed *shifted + coordinates*: + + .. math:: + + k_y(x, y, z) = + -\left[ + z \, \operatorname{safe-ln} (x + r) + + x \, \operatorname{safe-ln} (z + r) + - y \, \operatorname{safe-arctan} \left( zx, yr \right) + \right] + + where + + .. math:: + + \operatorname{safe-ln}(x) = + \begin{cases} + 0 & |x| < 10^{-10} \\ + \ln (x) + \end{cases} + + and + + .. math:: + + \operatorname{safe-arctan} \left( y, x \right) = + \begin{cases} + \text{arctan}\left( \frac{y}{x} \right) & x \ne 0 \\ + \frac{\pi}{2} & x = 0 \quad \text{and} \quad y > 0 \\ + -\frac{\pi}{2} & x = 0 \quad \text{and} \quad y < 0 \\ + 0 & x = 0 \quad \text{and} \quad y = 0 \\ + \end{cases} + + .. important:: + + In the first equation a minus sign has been added to the one obtained + by [Nagy2000]_ in order to compute the numerical kernel for the + **northward** component instead for the southward one. + + References + ---------- + - [Nagy2000]_ + - [Nagy2002]_ + - [Fukushima2020]_ + """ + kernel = -( + upward * _safe_log(easting, radius) + + easting * _safe_log(upward, radius) + - northing * _safe_atan2(easting * upward, northing * radius) + ) + return kernel
+ + + +
+[docs] +@jit(nopython=True) +def kernel_u(easting, northing, upward, radius): + r""" + Kernel for upward component of the gradient due to a rectangular prism + + Evaluates the integration kernel for the upward component of the gradient + of the potential field generated by a prism [Nagy2000]_ on a single vertex + of the prism. The coordinates that must be passed are shifted coordinates: + the coordinates of the vertex from a Cartesian coordinate system whose + origin is located in the observation point. + + This function makes use of a safe natural logarithmic function and a safe + arctangent function [Fukushima2020]_ that guarantee a good accuracy on + every observation point. + + Parameters + ---------- + easting : float + Shifted easting coordinate of the vertex of the prism. Must be in + meters. + northing : float + Shifted northing coordinate of the vertex of the prism. Must be in + meters. + upward : float + Shifted upward coordinate of the vertex of the prism. Must be in + meters. + radius : float + Square root of the sum of the squares of the ``easting``, ``northing`` + and ``upward`` shifted coordinates. + + Returns + ------- + kernel : float + Value of the numerical kernel function for the upward component of the + gradient of the potential field due to a rectangular prism evaluated on + a single vertex. + + Notes + ----- + Computes the following numerical kernel on the passed *shifted + coordinates*: + + .. math:: + + k_z(x, y, z) = + - \left[ + x \, \operatorname{safe-ln} (y + r) + + y \, \operatorname{safe-ln} (x + r) + - z \, \operatorname{safe-arctan} \left( xy, zr \right) + \right] + + where + + .. math:: + + \operatorname{safe-ln}(x) = + \begin{cases} + 0 & |x| < 10^{-10} \\ + \ln (x) + \end{cases} + + and + + .. math:: + + \operatorname{safe-arctan} \left( y, x \right) = + \begin{cases} + \text{arctan}\left( \frac{y}{x} \right) & x \ne 0 \\ + \frac{\pi}{2} & x = 0 \quad \text{and} \quad y > 0 \\ + -\frac{\pi}{2} & x = 0 \quad \text{and} \quad y < 0 \\ + 0 & x = 0 \quad \text{and} \quad y = 0 \\ + \end{cases} + + .. important:: + + In the first equation a minus sign has been added to the one obtained + by [Nagy2000]_ in order to compute the numerical kernel for the + **upward** component instead for the downward one. + + + References + ---------- + - [Nagy2000]_ + - [Nagy2002]_ + - [Fukushima2020]_ + """ + # The minus sign is to return the kernel for the upward component instead + # of the downward one. + kernel = -( + easting * _safe_log(northing, radius) + + northing * _safe_log(easting, radius) + - upward * _safe_atan2(easting * northing, upward * radius) + ) + return kernel
+ + + +
+[docs] +@jit(nopython=True) +def kernel_ee(easting, northing, upward, radius): + r""" + Kernel for easting-easting component of the tensor due to a prism + + Evaluates the integration kernel for the easting-easting component of the + tensor generated by a prism [Nagy2000]_ on a single vertex of the prism. + The coordinates that must be passed are shifted coordinates: the + coordinates of the vertex from a Cartesian coordinate system whose origin + is located in the observation point. + + This function makes use of a safe arctangent function [Fukushima2020]_ that + guarantee a good accuracy on every observation point. + + Parameters + ---------- + easting : float + Shifted easting coordinate of the vertex of the prism. Must be in + meters. + northing : float + Shifted northing coordinate of the vertex of the prism. Must be in + meters. + upward : float + Shifted upward coordinate of the vertex of the prism. Must be in + meters. + radius : float + Square root of the sum of the squares of the ``easting``, ``northing`` + and ``upward`` shifted coordinates. + + Returns + ------- + kernel : float + Value of the kernel function for the easting-easting component of the + tensor due to a rectangular prism evaluated on a single vertex. + + Notes + ----- + Computes the following numerical kernel on the passed *shifted + coordinates*: + + .. math:: + + k_{xx}(x, y, z) = - \operatorname{safe-arctan} \left( yz, xr \right) + + where + + .. math:: + + \operatorname{safe-arctan} \left( y, x \right) = + \begin{cases} + \text{arctan}\left( \frac{y}{x} \right) & x \ne 0 \\ + \frac{\pi}{2} & x = 0 \quad \text{and} \quad y > 0 \\ + -\frac{\pi}{2} & x = 0 \quad \text{and} \quad y < 0 \\ + 0 & x = 0 \quad \text{and} \quad y = 0 \\ + \end{cases} + + References + ---------- + - [Nagy2000]_ + - [Nagy2002]_ + - [Fukushima2020]_ + """ + return -_safe_atan2(northing * upward, easting * radius)
+ + + +
+[docs] +@jit(nopython=True) +def kernel_nn(easting, northing, upward, radius): + r""" + Kernel for northing-northing component of the tensor due to a prism + + Evaluates the integration kernel for the northing-northing component of the + tensor generated by a prism [Nagy2000]_ on a single vertex of the prism. + The coordinates that must be passed are shifted coordinates: the + coordinates of the vertex from a Cartesian coordinate system whose origin + is located in the observation point. + + This function makes use of a safe arctangent function [Fukushima2020]_ that + guarantee a good accuracy on every observation point. + + Parameters + ---------- + easting : float + Shifted easting coordinate of the vertex of the prism. Must be in + meters. + northing : float + Shifted northing coordinate of the vertex of the prism. Must be in + meters. + upward : float + Shifted upward coordinate of the vertex of the prism. Must be in + meters. + radius : float + Square root of the sum of the squares of the ``easting``, ``northing`` + and ``upward`` shifted coordinates. + + Returns + ------- + kernel : float + Value of the kernel function for the northing-northing component of the + tensor due to a rectangular prism evaluated on a single vertex. + + Notes + ----- + Computes the following numerical kernel on the passed *shifted + coordinates*: + + .. math:: + + k_{yy}(x, y, z) = - \operatorname{safe-arctan} \left( zx, yr \right) + + where + + .. math:: + + \operatorname{safe-arctan} \left( y, x \right) = + \begin{cases} + \text{arctan}\left( \frac{y}{x} \right) & x \ne 0 \\ + \frac{\pi}{2} & x = 0 \quad \text{and} \quad y > 0 \\ + -\frac{\pi}{2} & x = 0 \quad \text{and} \quad y < 0 \\ + 0 & x = 0 \quad \text{and} \quad y = 0 \\ + \end{cases} + + References + ---------- + - [Nagy2000]_ + - [Nagy2002]_ + - [Fukushima2020]_ + """ + return -_safe_atan2(easting * upward, northing * radius)
+ + + +
+[docs] +@jit(nopython=True) +def kernel_uu(easting, northing, upward, radius): + r""" + Kernel for upward-upward component of the tensor due to a prism + + Evaluates the integration kernel for the upward-upward component of the + tensor generated by a prism [Nagy2000]_ on a single vertex of the prism. + The coordinates that must be passed are shifted coordinates: the + coordinates of the vertex from a Cartesian coordinate system whose origin + is located in the observation point. + + This function makes use of a safe arctangent function [Fukushima2020]_ that + guarantee a good accuracy on every observation point. + + Parameters + ---------- + easting : float + Shifted easting coordinate of the vertex of the prism. Must be in + meters. + northing : float + Shifted northing coordinate of the vertex of the prism. Must be in + meters. + upward : float + Shifted upward coordinate of the vertex of the prism. Must be in + meters. + radius : float + Square root of the sum of the squares of the ``easting``, ``northing`` + and ``upward`` shifted coordinates. + + Returns + ------- + kernel : float + Value of the kernel function for the upward-upward component of the + tensor due to a rectangular prism evaluated on a single vertex. + + Notes + ----- + Computes the following numerical kernel on the passed *shifted + coordinates*: + + .. math:: + + k_{zz}(x, y, z) = - \operatorname{safe-arctan} \left( xy, zr \right) + + where + + .. math:: + + \operatorname{safe-arctan} \left( y, x \right) = + \begin{cases} + \text{arctan}\left( \frac{y}{x} \right) & x \ne 0 \\ + \frac{\pi}{2} & x = 0 \quad \text{and} \quad y > 0 \\ + -\frac{\pi}{2} & x = 0 \quad \text{and} \quad y < 0 \\ + 0 & x = 0 \quad \text{and} \quad y = 0 \\ + \end{cases} + + References + ---------- + - [Nagy2000]_ + - [Nagy2002]_ + - [Fukushima2020]_ + """ + return -_safe_atan2(easting * northing, upward * radius)
+ + + +
+[docs] +@jit(nopython=True) +def kernel_en(easting, northing, upward, radius): + r""" + Kernel for easting-northing component of the tensor due to a prism + + Evaluates the integration kernel for the easting-northing component of the + tensor generated by a prism [Nagy2000]_ on a single vertex of the prism. + The coordinates that must be passed are shifted coordinates: the + coordinates of the vertex from a Cartesian coordinate system whose origin + is located in the observation point. + + This function makes use of a safe natural logarithmic function + [Fukushima2020]_ that guarantee a good accuracy on every observation point. + + Parameters + ---------- + easting : float + Shifted easting coordinate of the vertex of the prism. Must be in + meters. + northing : float + Shifted northing coordinate of the vertex of the prism. Must be in + meters. + upward : float + Shifted upward coordinate of the vertex of the prism. Must be in + meters. + radius : float + Square root of the sum of the squares of the ``easting``, ``northing`` + and ``upward`` shifted coordinates. + + Returns + ------- + kernel : float + Value of the kernel function for the easting-northing component of the + tensor due to a rectangular prism evaluated on a single vertex. + + Notes + ----- + Computes the following numerical kernel on the passed *shifted + coordinates*: + + .. math:: + + k_{xy}(x, y, z) = \operatorname{safe-ln} \left( z + r \right) + + where + + .. math:: + + \operatorname{safe-ln}(x) = + \begin{cases} + 0 & |x| < 10^{-10} \\ + \ln (x) + \end{cases} + + References + ---------- + - [Nagy2000]_ + - [Nagy2002]_ + - [Fukushima2020]_ + """ + return _safe_log(upward, radius)
+ + + +
+[docs] +@jit(nopython=True) +def kernel_eu(easting, northing, upward, radius): + r""" + Kernel for easting-upward component of the tensor due to a prism + + Evaluates the integration kernel for the easting-upward component of the + tensor generated by a prism [Nagy2000]_ on a single vertex of the prism. + The coordinates that must be passed are shifted coordinates: the + coordinates of the vertex from a Cartesian coordinate system whose origin + is located in the observation point. + + This function makes use of a safe natural logarithmic function + [Fukushima2020]_ that guarantee a good accuracy on every observation point. + + Parameters + ---------- + easting : float + Shifted easting coordinate of the vertex of the prism. Must be in + meters. + northing : float + Shifted northing coordinate of the vertex of the prism. Must be in + meters. + upward : float + Shifted upward coordinate of the vertex of the prism. Must be in + meters. + radius : float + Square root of the sum of the squares of the ``easting``, ``northing`` + and ``upward`` shifted coordinates. + + Returns + ------- + kernel : float + Value of the kernel function for the easting-upward component of the + tensor due to a rectangular prism evaluated on a single vertex. + + Notes + ----- + Computes the following numerical kernel on the passed *shifted + coordinates*: + + .. math:: + + k_{xz}(x, y, z) = \operatorname{safe-ln} \left( y + r \right) + + where + + .. math:: + + \operatorname{safe-ln}(x) = + \begin{cases} + 0 & |x| < 10^{-10} \\ + \ln (x) + \end{cases} + + References + ---------- + - [Nagy2000]_ + - [Nagy2002]_ + - [Fukushima2020]_ + """ + return _safe_log(northing, radius)
+ + + +
+[docs] +@jit(nopython=True) +def kernel_nu(easting, northing, upward, radius): + r""" + Kernel for northing-upward component of the tensor due to a prism + + Evaluates the integration kernel for the northing-upward component of the + tensor generated by a prism [Nagy2000]_ on a single vertex of the prism. + The coordinates that must be passed are shifted coordinates: the + coordinates of the vertex from a Cartesian coordinate system whose origin + is located in the observation point. + + This function makes use of a safe natural logarithmic function + [Fukushima2020]_ that guarantee a good accuracy on every observation point. + + Parameters + ---------- + easting : float + Shifted easting coordinate of the vertex of the prism. Must be in + meters. + northing : float + Shifted northing coordinate of the vertex of the prism. Must be in + meters. + upward : float + Shifted upward coordinate of the vertex of the prism. Must be in + meters. + radius : float + Square root of the sum of the squares of the ``easting``, ``northing`` + and ``upward`` shifted coordinates. + + Returns + ------- + kernel : float + Value of the kernel function for the northing-upward component of the + tensor due to a rectangular prism evaluated on a single vertex. + + Notes + ----- + Computes the following numerical kernel on the passed *shifted + coordinates*: + + .. math:: + + k_{yz}(x, y, z) = \operatorname{safe-ln} \left( x + r \right) + + where + + .. math:: + + \operatorname{safe-ln}(x) = + \begin{cases} + 0 & |x| < 10^{-10} \\ + \ln (x) + \end{cases} + + References + ---------- + - [Nagy2000]_ + - [Nagy2002]_ + - [Fukushima2020]_ + """ + return _safe_log(easting, radius)
+ + + +@jit(nopython=True) +def _safe_atan2(y, x): + r""" + Principal value of the arctangent expressed as a two variable function + + This modification has to be made to the arctangent function so the + gravitational field of the prism satisfies the Poisson's equation. + Therefore, it guarantees that the fields satisfies the symmetry properties + of the prism. This modified function has been defined according to + [Fukushima2020]_. + + Notes + ----- + + .. math:: + + \operatorname{safe-arctan} \left(y, x\right) = + \begin{cases} + \text{arctan}\left( \frac{y}{x} \right) & x \ne 0 \\ + \frac{\pi}{2} & x = 0 \quad \text{and} \quad y > 0 \\ + -\frac{\pi}{2} & x = 0 \quad \text{and} \quad y < 0 \\ + 0 & x = 0 \quad \text{and} \quad y = 0 \\ + \end{cases} + + References + ---------- + - [Fukushima2020]_ + """ + if x == 0: + if y > 0: + result = np.pi / 2 + elif y < 0: + result = -np.pi / 2 + else: + result = 0 + return result + return np.arctan(y / x) + + +@jit(nopython=True) +def _safe_log(x, r): + r""" + Safe log function to use in the prism kernels + + Evaluates the :math:`\ln{x + r}` where :math:`x` is one of the shifted + coordinate of the prism vertex and :math:`r` is the Euclidean distance + (always non-negative) from the vertex to the observation point. + + .. math:: + + \text{safe_ln}(x, r) = + \begin{cases} + 0 & x = 0, r = 0 \\ + \ln(x + r) & x \ge 0 \\ + \ln((r^2 - x^2) / (r - x)) & x < 0, r \ne -x \\ + -\ln(-2 x) & x < 0, r = -x + \end{cases} + + This function returns 0 when the observation point is located on the vertex + of the prism (:math:`r=0`); and two modified versions in case that + :math:`x` is negative: if :math:`x = -r` then the :math:`\ln{x + r}` can be + replaced by :math:`-\ln{|x| + r} = -\ln(-2x)`, and for any other negative + value of :math:`x` it returns :math:`\ln((r^2 - x^2) / (r - x))` which + helps by reducing the floating point errors ([Fukushima2020_]). + This modified version was inspired by [Nagy2000] and [Fukushima2020_]: + + References + ---------- + - [Fukushima2020]_ + """ + if r == 0: + return 0 + if x < 0: + if r == -x: + result = -np.log(-2 * x) + else: + result = np.log((r**2 - x**2) / (r - x)) + return result + return np.log(x + r) +
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Source code for choclo.prism._magnetic

+# Copyright (c) 2022 The Choclo Developers.
+# Distributed under the terms of the BSD 3-Clause License.
+# SPDX-License-Identifier: BSD-3-Clause
+#
+# This code is part of the Fatiando a Terra project (https://www.fatiando.org)
+#
+"""
+Magnetic forward modelling functions for rectangular prisms
+"""
+import numpy as np
+from numba import jit
+
+from ..constants import VACUUM_MAGNETIC_PERMEABILITY
+from ._kernels import kernel_ee, kernel_en, kernel_eu, kernel_nn, kernel_nu, kernel_uu
+from ._utils import (
+    is_interior_point,
+    is_point_on_east_face,
+    is_point_on_edge,
+    is_point_on_north_face,
+    is_point_on_top_face,
+)
+
+
+
+[docs] +@jit(nopython=True) +def magnetic_field( + easting, + northing, + upward, + prism_west, + prism_east, + prism_south, + prism_north, + prism_bottom, + prism_top, + magnetization_east, + magnetization_north, + magnetization_up, +): + r""" + Magnetic field due to a rectangular prism + + Returns the three components of the magnetic field due to a single + rectangular prism on a single computation point. + + .. note:: + + Use this function when all the three component of the magnetic fields + are needed. Running this function is faster than computing each + component separately. Use one of :func:`magnetic_e`, + :func:`magnetic_n`, :func:`magnetic_u` if you need only one of them. + + Parameters + ---------- + easting : float + Easting coordinate of the observation point. Must be in meters. + northing : float + Northing coordinate of the observation point. Must be in meters. + upward : float + Upward coordinate of the observation point. Must be in meters. + prism_west : float + The West boundary of the prism. Must be in meters. + prism_east : float + The East boundary of the prism. Must be in meters. + prism_south : float + The South boundary of the prism. Must be in meters. + prism_north : float + The North boundary of the prism. Must be in meters. + prism_bottom : float + The bottom boundary of the prism. Must be in meters. + prism_top : float + The top boundary of the prism. Must be in meters. + magnetization_east : float + The East component of the magnetization vector of the prism. Must be in + :math:`A m^{-1}`. + magnetization_north : float + The North component of the magnetization vector of the prism. Must be + in :math:`A m^{-1}`. + magnetization_up : float + The upward component of the magnetization vector of the prism. Must be + in :math:`A m^{-1}`. + + Returns + ------- + b_e, b_n, b_u : floats + The three components of the magnetic field generated by the prism on + the observation point in :math:`\text{T}`. + The components are returned in the following order: ``b_e``, ``b_n``, + ``b_u``. + Return a tuple full of ``numpy.nan`` if the observation point falls in + a singular point: prism vertices, prism edges or interior points. + + Notes + ----- + Consider an observation point :math:`\mathbf{p}` and a prism :math:`R` with + a magnetization vector :math:`\mathbf{M}`. The magnetic field + :math:`\mathbf{B}` it generates on the observation point :math:`\mathbf{p}` + is defined as: + + .. math:: + + \mathbf{B}(\mathbf{p}) = + - \frac{\mu_0}{4\pi} \nabla_\mathbf{p} + \left[ + \int\limits_R \mathbf{M} \cdot \nabla_\mathbf{q} + \left( \frac{1}{\lVert \mathbf{p} - \mathbf{q} \rVert} \right) + dv + \right] + + Since the magnetization vector is constant inside the boundaries of the + prism, we can write the easting component of :math:`\mathbf{B}` as: + + .. math:: + + B_x(\mathbf{p}) = + - \frac{\mu_0}{4\pi} + \left[ + M_x \int\limits_R + \frac{\partial}{\partial x_p} + \left[ + \frac{\partial}{\partial x_q} + \left( \frac{1}{\lVert \mathbf{p} - \mathbf{q} \rVert} \right) + \right] + dv + + + M_y \int\limits_R + \frac{\partial}{\partial x_p} + \left[ + \frac{\partial}{\partial y_q} + \left( \frac{1}{\lVert \mathbf{p} - \mathbf{q} \rVert} \right) + \right] + dv + + + M_z \int\limits_R + \frac{\partial}{\partial x_p} + \left[ + \frac{\partial}{\partial z_q} + \left( \frac{1}{\lVert \mathbf{p} - \mathbf{q} \rVert} \right) + \right] + dv + \right] + + where :math:`M_x`, :math:`M_y` and :math:`M_z` are the components of the + magnetization vector. The other components can be expressed in an analogous + way. + + It can be proved that + + .. math:: + + \frac{\partial}{\partial x_q} + \left( \frac{1}{\lVert \mathbf{p} - \mathbf{q} \rVert} \right) + = + - \frac{\partial}{\partial x_p} + \left( \frac{1}{\lVert \mathbf{p} - \mathbf{q} \rVert} \right) + + and that it also holds for the two other directions. Therefore, we can + rewrite :math:`B_x` as: + + .. math:: + + B_x(\mathbf{p}) = + + \frac{\mu_0}{4\pi} + \left[ + M_x + \frac{\partial^2}{\partial x_p^2} + \int\limits_R + \frac{1}{\lVert \mathbf{p} - \mathbf{q} \rVert} + dv + + + M_y + \frac{\partial^2}{\partial x_p \partial y_p} + \int\limits_R + \frac{1}{\lVert \mathbf{p} - \mathbf{q} \rVert} + dv + + + M_z + \frac{\partial^2}{\partial x_p \partial z_p} + \int\limits_R + \frac{1}{\lVert \mathbf{p} - \mathbf{q} \rVert} + dv + \right] + + Solutions to each one of the integrals in the previous equation and their + second derivatives are given by [Nagy2000]_. + + Following [Oliveira2015]_ we can define a symmetrical 3x3 matrix + :math:`\mathbf{U}` whose elements are the second derivatives of the + previous integrals, such as: + + .. math:: + + u_{ij} = + \frac{\partial}{\partial i} + \frac{\partial}{\partial j} + \int\limits_R + \frac{1}{\lVert \mathbf{p} - \mathbf{q} \rVert} + dv + + with :math:`i, j \in \{x, y, z\}`. + + We can then express the magnetic field :math:`\mathbf{B}(\mathbf{p})` + generated by the prism in a compact form: + + .. math:: + + \mathbf{B}(\mathbf{p}) = \frac{\mu_0}{4\pi} \mathbf{U} \cdot \mathbf{M} + + + References + ---------- + - [Blakely1995]_ + - [Oliveira2015]_ + - [Nagy2000]_ + - [Nagy2002]_ + - [Fukushima2020]_ + + See also + -------- + :func:`choclo.prism.magnetic_e` + :func:`choclo.prism.magnetic_n` + :func:`choclo.prism.magnetic_u` + """ + # Check if observation point falls in a singular point + if is_point_on_edge( + easting, + northing, + upward, + prism_west, + prism_east, + prism_south, + prism_north, + prism_bottom, + prism_top, + ) or is_interior_point( + easting, + northing, + upward, + prism_west, + prism_east, + prism_south, + prism_north, + prism_bottom, + prism_top, + ): + return (np.nan, np.nan, np.nan) + # Initialize magnetic field vector components + b_e, b_n, b_u = 0.0, 0.0, 0.0 + # Iterate over the vertices of the prism + for i in range(2): + # Compute shifted easting coordinate + if i == 0: + shift_east = prism_east - easting + else: + shift_east = prism_west - easting + shift_east_sq = shift_east**2 + for j in range(2): + # Compute shifted northing coordinate + if j == 0: + shift_north = prism_north - northing + else: + shift_north = prism_south - northing + shift_north_sq = shift_north**2 + for k in range(2): + # Compute shifted upward coordinate + if k == 0: + shift_upward = prism_top - upward + else: + shift_upward = prism_bottom - upward + shift_upward_sq = shift_upward**2 + # Compute the radius + radius = np.sqrt(shift_east_sq + shift_north_sq + shift_upward_sq) + # Compute all kernel tensor components for the current vertex + k_ee = kernel_ee(shift_east, shift_north, shift_upward, radius) + k_nn = kernel_nn(shift_east, shift_north, shift_upward, radius) + k_uu = kernel_uu(shift_east, shift_north, shift_upward, radius) + k_en = kernel_en(shift_east, shift_north, shift_upward, radius) + k_eu = kernel_eu(shift_east, shift_north, shift_upward, radius) + k_nu = kernel_nu(shift_east, shift_north, shift_upward, radius) + # Get the sign of this terms based on the current vertex + sign = (-1) ** (i + j + k) + # Compute the dot product between the kernel tensor and the + # magnetization vector of the prism + b_e += sign * ( + magnetization_east * k_ee + + magnetization_north * k_en + + magnetization_up * k_eu + ) + b_n += sign * ( + magnetization_east * k_en + + magnetization_north * k_nn + + magnetization_up * k_nu + ) + b_u += sign * ( + magnetization_east * k_eu + + magnetization_north * k_nu + + magnetization_up * k_uu + ) + # Add 4 pi to Be if computing on the eastmost face, to correctly evaluate + # the limit approaching from outside (approaching from the east) + if is_point_on_east_face( + easting, + northing, + upward, + prism_west, + prism_east, + prism_south, + prism_north, + prism_bottom, + prism_top, + ): + b_e += 4 * np.pi * magnetization_east + # Add 4 pi to Bn if computing on the northmost face, to correctly evaluate + # the limit approaching from outside (approaching from the north) + if is_point_on_north_face( + easting, + northing, + upward, + prism_west, + prism_east, + prism_south, + prism_north, + prism_bottom, + prism_top, + ): + b_n += 4 * np.pi * magnetization_north + # Add 4 pi to Bu if computing on the north face, to correctly evaluate the + # limit approaching from outside (approaching from the top) + if is_point_on_top_face( + easting, + northing, + upward, + prism_west, + prism_east, + prism_south, + prism_north, + prism_bottom, + prism_top, + ): + b_u += 4 * np.pi * magnetization_up + c_m = VACUUM_MAGNETIC_PERMEABILITY / 4 / np.pi + b_e *= c_m + b_n *= c_m + b_u *= c_m + return b_e, b_n, b_u
+ + + +
+[docs] +@jit(nopython=True) +def magnetic_e( + easting, + northing, + upward, + prism_west, + prism_east, + prism_south, + prism_north, + prism_bottom, + prism_top, + magnetization_east, + magnetization_north, + magnetization_up, +): + r""" + Easting component of the magnetic field due to a prism + + Returns the easting component of the magnetic field due to a single + rectangular prism on a single computation point. + + Parameters + ---------- + easting : float + Easting coordinate of the observation point. Must be in meters. + northing : float + Northing coordinate of the observation point. Must be in meters. + upward : float + Upward coordinate of the observation point. Must be in meters. + prism_west : float + The West boundary of the prism. Must be in meters. + prism_east : float + The East boundary of the prism. Must be in meters. + prism_south : float + The South boundary of the prism. Must be in meters. + prism_north : float + The North boundary of the prism. Must be in meters. + prism_bottom : float + The bottom boundary of the prism. Must be in meters. + prism_top : float + The top boundary of the prism. Must be in meters. + magnetization_east : float + The East component of the magnetization vector of the prism. Must be in + :math:`A m^{-1}`. + magnetization_north : float + The North component of the magnetization vector of the prism. Must be + in :math:`A m^{-1}`. + magnetization_up : float + The upward component of the magnetization vector of the prism. Must be + in :math:`A m^{-1}`. + + Returns + ------- + b_e : float + Easting component of the magnetic field generated by the prism + on the observation point in :math:`\text{T}`. + Return ``numpy.nan`` if the observation point falls in + a singular point: prism vertices, prism edges or interior points. + + Notes + ----- + Computes the easting component of the magnetic field + :math:`\mathbf{B}(\mathbf{p})` generated by a rectangular prism :math:`R` + with a magnetization vector :math:`M` on the observation point + :math:`\mathbf{p}` as follows: + + .. math:: + + B_x(\mathbf{p}) = + \frac{\mu_0}{4\pi} + \left( M_x u_{xx} + M_y u_{xy} + M_z u_{xz} \right) + + Where :math:`u_{ij}` are: + + .. math:: + + u_{ij} = + \frac{\partial}{\partial i} + \frac{\partial}{\partial j} + \int\limits_R + \frac{1}{\lVert \mathbf{p} - \mathbf{q} \rVert} + dv + + with :math:`i,j \in \{x, y, z\}`. + Solutions of the second derivatives of these integrals are given by + [Nagy2000]_: + + .. math:: + + u_{xx} &= + \Bigg\lvert\Bigg\lvert\Bigg\lvert + - \arctan \left( \frac{yz}{xr} \right) + \Bigg\rvert_{X_1}^{X_2} + \Bigg\rvert_{Y_1}^{Y_2} + \Bigg\rvert_{Z_1}^{Z_2} + \\ + u_{xy} &= + \Bigg\lvert\Bigg\lvert\Bigg\lvert + \ln (z + r) + \Bigg\rvert_{X_1}^{X_2} + \Bigg\rvert_{Y_1}^{Y_2} + \Bigg\rvert_{Z_1}^{Z_2} + \\ + u_{xz} &= + \Bigg\lvert\Bigg\lvert\Bigg\lvert + \ln (y + r) + \Bigg\rvert_{X_1}^{X_2} + \Bigg\rvert_{Y_1}^{Y_2} + \Bigg\rvert_{Z_1}^{Z_2} + + References + ---------- + - [Blakely1995]_ + - [Oliveira2015]_ + - [Nagy2000]_ + - [Nagy2002]_ + - [Fukushima2020]_ + + See also + -------- + :func:`choclo.prism.magnetic_field` + :func:`choclo.prism.magnetic_n` + :func:`choclo.prism.magnetic_u` + """ + # Check if observation point falls in a singular point + if is_point_on_edge( + easting, + northing, + upward, + prism_west, + prism_east, + prism_south, + prism_north, + prism_bottom, + prism_top, + ) or is_interior_point( + easting, + northing, + upward, + prism_west, + prism_east, + prism_south, + prism_north, + prism_bottom, + prism_top, + ): + return np.nan + # Initialize magnetic field vector component + b_e = 0.0 + # Iterate over the vertices of the prism + for i in range(2): + # Compute shifted easting coordinate + if i == 0: + shift_east = prism_east - easting + else: + shift_east = prism_west - easting + shift_east_sq = shift_east**2 + for j in range(2): + # Compute shifted northing coordinate + if j == 0: + shift_north = prism_north - northing + else: + shift_north = prism_south - northing + shift_north_sq = shift_north**2 + for k in range(2): + # Compute shifted upward coordinate + if k == 0: + shift_upward = prism_top - upward + else: + shift_upward = prism_bottom - upward + shift_upward_sq = shift_upward**2 + # Compute the radius + radius = np.sqrt(shift_east_sq + shift_north_sq + shift_upward_sq) + # Compute kernel tensor components for the current vertex + k_ee = kernel_ee(shift_east, shift_north, shift_upward, radius) + k_en = kernel_en(shift_east, shift_north, shift_upward, radius) + k_eu = kernel_eu(shift_east, shift_north, shift_upward, radius) + # Compute b_e using the dot product between the kernel tensor + # and the magnetization vector of the prism + b_e += (-1) ** (i + j + k) * ( + magnetization_east * k_ee + + magnetization_north * k_en + + magnetization_up * k_eu + ) + # Add 4 pi to Be if computing on the eastmost face, to correctly evaluate + # the limit approaching from outside (approaching from the east) + if is_point_on_east_face( + easting, + northing, + upward, + prism_west, + prism_east, + prism_south, + prism_north, + prism_bottom, + prism_top, + ): + b_e += 4 * np.pi * magnetization_east + return VACUUM_MAGNETIC_PERMEABILITY / 4 / np.pi * b_e
+ + + +
+[docs] +@jit(nopython=True) +def magnetic_n( + easting, + northing, + upward, + prism_west, + prism_east, + prism_south, + prism_north, + prism_bottom, + prism_top, + magnetization_east, + magnetization_north, + magnetization_up, +): + r""" + Northing component of the magnetic field due to a prism + + Returns the northing component of the magnetic field due to a single + rectangular prism on a single computation point. + + Parameters + ---------- + easting : float + Easting coordinate of the observation point. Must be in meters. + northing : float + Northing coordinate of the observation point. Must be in meters. + upward : float + Upward coordinate of the observation point. Must be in meters. + prism_west : float + The West boundary of the prism. Must be in meters. + prism_east : float + The East boundary of the prism. Must be in meters. + prism_south : float + The South boundary of the prism. Must be in meters. + prism_north : float + The North boundary of the prism. Must be in meters. + prism_bottom : float + The bottom boundary of the prism. Must be in meters. + prism_top : float + The top boundary of the prism. Must be in meters. + magnetization_east : float + The East component of the magnetization vector of the prism. Must be in + :math:`A m^{-1}`. + magnetization_north : float + The North component of the magnetization vector of the prism. Must be + in :math:`A m^{-1}`. + magnetization_up : float + The upward component of the magnetization vector of the prism. Must be + in :math:`A m^{-1}`. + + Returns + ------- + b_n : float + Northing component of the magnetic field generated by the prism + on the observation point in :math:`\text{T}`. + Return ``numpy.nan`` if the observation point falls in + a singular point: prism vertices, prism edges or interior points. + + Notes + ----- + Computes the northing component of the magnetic field + :math:`\mathbf{B}(\mathbf{p})` generated by a rectangular prism :math:`R` + with a magnetization vector :math:`M` on the observation point + :math:`\mathbf{p}` as follows: + + .. math:: + + B_y(\mathbf{p}) = + \frac{\mu_0}{4\pi} + \left( M_x u_{xy} + M_y u_{yy} + M_z u_{yz} \right) + + Where :math:`u_{ij}` are: + + .. math:: + + u_{ij} = + \frac{\partial}{\partial i} + \frac{\partial}{\partial j} + \int\limits_R + \frac{1}{\lVert \mathbf{p} - \mathbf{q} \rVert} + dv + + with :math:`i,j \in \{x, y, z\}`. + Solutions of the second derivatives of these integrals are given by + [Nagy2000]_: + + .. math:: + + u_{xy} &= + \Bigg\lvert\Bigg\lvert\Bigg\lvert + \ln (z + r) + \Bigg\rvert_{X_1}^{X_2} + \Bigg\rvert_{Y_1}^{Y_2} + \Bigg\rvert_{Z_1}^{Z_2} + \\ + u_{yy} &= + \Bigg\lvert\Bigg\lvert\Bigg\lvert + - \arctan \left( \frac{xz}{yr} \right) + \Bigg\rvert_{X_1}^{X_2} + \Bigg\rvert_{Y_1}^{Y_2} + \Bigg\rvert_{Z_1}^{Z_2} + \\ + u_{yz} &= + \Bigg\lvert\Bigg\lvert\Bigg\lvert + \ln (x + r) + \Bigg\rvert_{X_1}^{X_2} + \Bigg\rvert_{Y_1}^{Y_2} + \Bigg\rvert_{Z_1}^{Z_2} + + References + ---------- + - [Blakely1995]_ + - [Oliveira2015]_ + - [Nagy2000]_ + - [Nagy2002]_ + - [Fukushima2020]_ + + See also + -------- + :func:`choclo.prism.magnetic_field` + :func:`choclo.prism.magnetic_e` + :func:`choclo.prism.magnetic_u` + """ + # Check if observation point falls in a singular point + if is_point_on_edge( + easting, + northing, + upward, + prism_west, + prism_east, + prism_south, + prism_north, + prism_bottom, + prism_top, + ) or is_interior_point( + easting, + northing, + upward, + prism_west, + prism_east, + prism_south, + prism_north, + prism_bottom, + prism_top, + ): + return np.nan + # Initialize magnetic field vector component + b_n = 0.0 + # Iterate over the vertices of the prism + for i in range(2): + # Compute shifted easting coordinate + if i == 0: + shift_east = prism_east - easting + else: + shift_east = prism_west - easting + shift_east_sq = shift_east**2 + for j in range(2): + # Compute shifted northing coordinate + if j == 0: + shift_north = prism_north - northing + else: + shift_north = prism_south - northing + shift_north_sq = shift_north**2 + for k in range(2): + # Compute shifted upward coordinate + if k == 0: + shift_upward = prism_top - upward + else: + shift_upward = prism_bottom - upward + shift_upward_sq = shift_upward**2 + # Compute the radius + radius = np.sqrt(shift_east_sq + shift_north_sq + shift_upward_sq) + # Compute kernel tensor components for the current vertex + k_nn = kernel_nn(shift_east, shift_north, shift_upward, radius) + k_en = kernel_en(shift_east, shift_north, shift_upward, radius) + k_nu = kernel_nu(shift_east, shift_north, shift_upward, radius) + # Compute b_n using the dot product between the kernel tensor + # and the magnetization vector of the prism + b_n += (-1) ** (i + j + k) * ( + magnetization_east * k_en + + magnetization_north * k_nn + + magnetization_up * k_nu + ) + # Add 4 pi to Bn if computing on the northmost face, to correctly evaluate + # the limit approaching from outside (approaching from the north) + if is_point_on_north_face( + easting, + northing, + upward, + prism_west, + prism_east, + prism_south, + prism_north, + prism_bottom, + prism_top, + ): + b_n += 4 * np.pi * magnetization_north + return VACUUM_MAGNETIC_PERMEABILITY / 4 / np.pi * b_n
+ + + +
+[docs] +@jit(nopython=True) +def magnetic_u( + easting, + northing, + upward, + prism_west, + prism_east, + prism_south, + prism_north, + prism_bottom, + prism_top, + magnetization_east, + magnetization_north, + magnetization_up, +): + r""" + Upward component of the magnetic field due to a prism + + Returns the upward component of the magnetic field due to a single + rectangular prism on a single computation point. + + Parameters + ---------- + easting : float + Easting coordinate of the observation point. Must be in meters. + northing : float + Northing coordinate of the observation point. Must be in meters. + upward : float + Upward coordinate of the observation point. Must be in meters. + prism_west : float + The West boundary of the prism. Must be in meters. + prism_east : float + The East boundary of the prism. Must be in meters. + prism_south : float + The South boundary of the prism. Must be in meters. + prism_north : float + The North boundary of the prism. Must be in meters. + prism_bottom : float + The bottom boundary of the prism. Must be in meters. + prism_top : float + The top boundary of the prism. Must be in meters. + magnetization_east : float + The East component of the magnetization vector of the prism. Must be in + :math:`A m^{-1}`. + magnetization_north : float + The North component of the magnetization vector of the prism. Must be + in :math:`A m^{-1}`. + magnetization_up : float + The upward component of the magnetization vector of the prism. Must be + in :math:`A m^{-1}`. + + Returns + ------- + b_u : float + Upward component of the magnetic field generated by the prism + on the observation point in :math:`\text{T}`. + Return ``numpy.nan`` if the observation point falls in + a singular point: prism vertices, prism edges or interior points. + + Notes + ----- + Computes the upward component of the magnetic field + :math:`\mathbf{B}(\mathbf{p})` generated by a rectangular prism :math:`R` + with a magnetization vector :math:`M` on the observation point + :math:`\mathbf{p}` as follows: + + .. math:: + + B_z(\mathbf{p}) = + \frac{\mu_0}{4\pi} + \left( M_x u_{xz} + M_y u_{yz} + M_z u_{zz} \right) + + Where :math:`u_{ij}` are: + + .. math:: + + u_{ij} = + \frac{\partial}{\partial i} + \frac{\partial}{\partial j} + \int\limits_R + \frac{1}{\lVert \mathbf{p} - \mathbf{q} \rVert} + dv + + with :math:`i,j \in \{x, y, z\}`. + Solutions of the second derivatives of these integrals are given by + [Nagy2000]_: + + .. math:: + + u_{xz} &= + \Bigg\lvert\Bigg\lvert\Bigg\lvert + \ln (y + r) + \Bigg\rvert_{X_1}^{X_2} + \Bigg\rvert_{Y_1}^{Y_2} + \Bigg\rvert_{Z_1}^{Z_2} + \\ + u_{yz} &= + \Bigg\lvert\Bigg\lvert\Bigg\lvert + \ln (x + r) + \Bigg\rvert_{X_1}^{X_2} + \Bigg\rvert_{Y_1}^{Y_2} + \Bigg\rvert_{Z_1}^{Z_2} + \\ + u_{zz} &= + \Bigg\lvert\Bigg\lvert\Bigg\lvert + - \arctan \left( \frac{xy}{zr} \right) + \Bigg\rvert_{X_1}^{X_2} + \Bigg\rvert_{Y_1}^{Y_2} + \Bigg\rvert_{Z_1}^{Z_2} + + References + ---------- + - [Blakely1995]_ + - [Oliveira2015]_ + - [Nagy2000]_ + - [Nagy2002]_ + - [Fukushima2020]_ + + See also + -------- + :func:`choclo.prism.magnetic_field` + :func:`choclo.prism.magnetic_e` + :func:`choclo.prism.magnetic_n` + """ + # Check if observation point falls in a singular point + if is_point_on_edge( + easting, + northing, + upward, + prism_west, + prism_east, + prism_south, + prism_north, + prism_bottom, + prism_top, + ) or is_interior_point( + easting, + northing, + upward, + prism_west, + prism_east, + prism_south, + prism_north, + prism_bottom, + prism_top, + ): + return np.nan + # Initialize magnetic field vector component + b_u = 0.0 + # Iterate over the vertices of the prism + for i in range(2): + # Compute shifted easting coordinate + if i == 0: + shift_east = prism_east - easting + else: + shift_east = prism_west - easting + shift_east_sq = shift_east**2 + for j in range(2): + # Compute shifted northing coordinate + if j == 0: + shift_north = prism_north - northing + else: + shift_north = prism_south - northing + shift_north_sq = shift_north**2 + for k in range(2): + # Compute shifted upward coordinate + if k == 0: + shift_upward = prism_top - upward + else: + shift_upward = prism_bottom - upward + shift_upward_sq = shift_upward**2 + # Compute the radius + radius = np.sqrt(shift_east_sq + shift_north_sq + shift_upward_sq) + # Compute kernel tensor components for the current vertex + k_uu = kernel_uu(shift_east, shift_north, shift_upward, radius) + k_eu = kernel_eu(shift_east, shift_north, shift_upward, radius) + k_nu = kernel_nu(shift_east, shift_north, shift_upward, radius) + # Compute b_n using the dot product between the kernel tensor + # and the magnetization vector of the prism + b_u += (-1) ** (i + j + k) * ( + magnetization_east * k_eu + + magnetization_north * k_nu + + magnetization_up * k_uu + ) + # Add 4 pi to Bu if computing on the north face, to correctly evaluate the + # limit approaching from outside (approaching from the top) + if is_point_on_top_face( + easting, + northing, + upward, + prism_west, + prism_east, + prism_south, + prism_north, + prism_bottom, + prism_top, + ): + b_u += 4 * np.pi * magnetization_up + return VACUUM_MAGNETIC_PERMEABILITY / 4 / np.pi * b_u
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Source code for choclo.utils

+# Copyright (c) 2022 The Choclo Developers.
+# Distributed under the terms of the BSD 3-Clause License.
+# SPDX-License-Identifier: BSD-3-Clause
+#
+# This code is part of the Fatiando a Terra project (https://www.fatiando.org)
+#
+"""
+Utility functions for the kernel and forward modelling functions
+"""
+import numpy as np
+from numba import jit
+
+
+
+[docs] +@jit(nopython=True) +def distance_cartesian( + easting_p, northing_p, upward_p, easting_q, northing_q, upward_q +): + r""" + Euclidean distance between two points given in Cartesian coordinates + + .. warning:: + + All coordinates should be in the same units. + + Parameters + ---------- + easting_p : float + Easting coordinate of point :math:`\mathbf{p}`. + northing_p : float + Northing coordinate of point :math:`\mathbf{p}`. + upward_p : float + Upward coordinate of point :math:`\mathbf{p}`. + easting_q : float + Easting coordinate of point :math:`\mathbf{q}`. + northing_q : float + Northing coordinate of point :math:`\mathbf{q}`. + upward_q : float + Upward coordinate of point :math:`\mathbf{q}`. + + Returns + ------- + distance : float + Euclidean distance between ``point_p`` and ``point_q``. + + Notes + ----- + Given two points :math:`\mathbf{p} = (x_p, y_p, z_p)` and + :math:`\mathbf{q} = (x_q, y_q, z_q)` defined in a Cartesian coordinate + system :math:`(x, y, z)`, return the Euclidean (L2) distance between + them: + + .. math:: + + d = \sqrt{(x_p - x_q)^2 + (y_p - y_q)^2 + (z_p - z_q)^2} + + """ + distance = np.sqrt( + (easting_p - easting_q) ** 2 + + (northing_p - northing_q) ** 2 + + (upward_p - upward_q) ** 2 + ) + return distance
+ + + +
+[docs] +@jit(nopython=True) +def distance_spherical( + longitude_p, latitude_p, radius_p, longitude_q, latitude_q, radius_q +): + r""" + Euclidean distance between two points in spherical coordinates + + .. important:: + + All angles must be in degrees and radii in meters. + + Parameters + ---------- + longitude_p : float + Longitude coordinate of point :math:`\mathbf{p}` in degrees. + latitude_p : float + Latitude coordinate of point :math:`\mathbf{p}` in degrees. + radius_p : float + Radial coordinate of point :math:`\mathbf{p}` in meters. + longitude_q : float + Longitude coordinate of point :math:`\mathbf{q}` in degrees. + latitude_q : float + Latitude coordinate of point :math:`\mathbf{q}` in degrees. + radius_q : float + Radial coordinate of point :math:`\mathbf{q}` in meters. + + Returns + ------- + distance : float + Euclidean distance between ``point_p`` and ``point_q``. + + Notes + ----- + Given two points :math:`\mathbf{p} = (\lambda_p, \phi_p, r_p)` and + :math:`\mathbf{q} = (\lambda_q, \phi_q, r_q)` defined in a spherical + coordinate system :math:`(\lambda, \phi, r)`, return the Euclidean (L2) + distance between them: + + .. math:: + + d = \sqrt{ (r_p - r_q) ^ 2 + 2 r_p r_q (1 - \cos\psi)} + + where + + .. math:: + + \cos\psi = + \sin\phi_p \sin\phi_q + + \cos\phi_p \cos\phi_q \cos(\lambda_p - \lambda_q) + + and :math:`\lambda` is the longitude angle, :math:`\phi` the spherical + latitude angle an :math:`r` is the radial coordinate. + """ + # Convert angles to radians + longitude_p, latitude_p = np.radians(longitude_p), np.radians(latitude_p) + longitude_q, latitude_q = np.radians(longitude_q), np.radians(latitude_q) + # Compute trigonometric quantities + cosphi_p = np.cos(latitude_p) + sinphi_p = np.sin(latitude_p) + cosphi_q = np.cos(latitude_q) + sinphi_q = np.sin(latitude_q) + distance, _, _ = distance_spherical_core( + longitude_p, + cosphi_p, + sinphi_p, + radius_p, + longitude_q, + cosphi_q, + sinphi_q, + radius_q, + ) + return distance
+ + + +
+[docs] +@jit(nopython=True) +def distance_spherical_core( + longitude_p, cosphi_p, sinphi_p, radius_p, longitude_q, cosphi_q, sinphi_q, radius_q +): + r""" + Core computation of distance between two points in spherical coordinates + + .. important:: + + All longitudinal angles must be in degrees. + + It computes the Euclidean distance between two points defined in spherical + coordinates given precomputed quantities related to the coordinates of both + points: the ``longitude`` in radians, the sine and cosine of the + ``latitude``, and the ``radius`` in meters. Precomputing this quantities + may save computation time on some cases. + + Parameters + ---------- + longitude_p : float + Longitude coordinate of the first point. Must be in radians. + cosphi_p : float + Cosine of the latitude coordinate of the first point. + sinphi_p : float + Sine of the latitude coordinate of the first point. + radius_p : float + Radial coordinate of the first point. + longitude_q : float + Longitude coordinate of the second point. Must be in radians. + cosphi_q : float + Cosine of the latitude coordinate of the second point. + sinphi_q : float + Sine of the latitude coordinate of the second point. + radius_q : float + Radial coordinate of the second point. + + Returns + ------- + distance : float + Distance between the two points. + cospsi : float + Cosine of the psi angle. + coslambda : float + Cosine of the diference between the longitudes of both points. + + Notes + ----- + Given two points :math:`\mathbf{p} = (\lambda_p, \phi_p, r_p)` and + :math:`\mathbf{q} = (\lambda_q, \phi_q, r_q)` defined in a spherical + coordinate system :math:`(\lambda, \phi, r)`, return the Euclidean (L2) + distance between them: + + .. math:: + + d = \sqrt{ (r_p - r_q) ^ 2 + 2 r_p r_q (1 - \cos\psi)}, + + the cosine of the :math:`\psi` angle: + + .. math:: + + \cos\psi = + \sin\phi_p \sin\phi_q + + \cos\phi_p \cos\phi_q \cos(\lambda_p - \lambda_q) + + and the cosine of the difference between the longitude angles of the + observation and source points: + + .. math:: + + \cos(\lambda_p - \lambda_q), + + where :math:`\lambda` is the longitude angle, :math:`\phi` the spherical + latitude angle an :math:`r` is the radial coordinate. + """ + coslambda = np.cos(longitude_q - longitude_p) + cospsi = sinphi_q * sinphi_p + cosphi_q * cosphi_p * coslambda + distance = np.sqrt( + (radius_p - radius_q) ** 2 + 2 * radius_p * radius_q * (1 - cospsi) + ) + return distance, cospsi, coslambda
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+ + \ No newline at end of file diff --git a/v0.2.0/_sources/api/generated/choclo.constants.GRAVITATIONAL_CONST.rst b/v0.2.0/_sources/api/generated/choclo.constants.GRAVITATIONAL_CONST.rst new file mode 100644 index 00000000..6c5317e1 --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.constants.GRAVITATIONAL_CONST.rst @@ -0,0 +1,10 @@ +choclo.constants.GRAVITATIONAL\_CONST +===================================== + +.. currentmodule:: choclo.constants + +.. autodata:: GRAVITATIONAL_CONST + +.. raw:: html + +
\ No newline at end of file diff --git a/v0.2.0/_sources/api/generated/choclo.constants.VACUUM_MAGNETIC_PERMEABILITY.rst b/v0.2.0/_sources/api/generated/choclo.constants.VACUUM_MAGNETIC_PERMEABILITY.rst new file mode 100644 index 00000000..40cc2f7b --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.constants.VACUUM_MAGNETIC_PERMEABILITY.rst @@ -0,0 +1,10 @@ +choclo.constants.VACUUM\_MAGNETIC\_PERMEABILITY +=============================================== + +.. currentmodule:: choclo.constants + +.. autodata:: VACUUM_MAGNETIC_PERMEABILITY + +.. raw:: html + +
\ No newline at end of file diff --git a/v0.2.0/_sources/api/generated/choclo.dipole.magnetic_e.rst b/v0.2.0/_sources/api/generated/choclo.dipole.magnetic_e.rst new file mode 100644 index 00000000..f0bcdac7 --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.dipole.magnetic_e.rst @@ -0,0 +1,10 @@ +choclo.dipole.magnetic\_e +========================= + +.. currentmodule:: choclo.dipole + +.. autofunction:: magnetic_e + +.. raw:: html + +
diff --git a/v0.2.0/_sources/api/generated/choclo.dipole.magnetic_field.rst b/v0.2.0/_sources/api/generated/choclo.dipole.magnetic_field.rst new file mode 100644 index 00000000..f9151c29 --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.dipole.magnetic_field.rst @@ -0,0 +1,10 @@ +choclo.dipole.magnetic\_field +============================= + +.. currentmodule:: choclo.dipole + +.. autofunction:: magnetic_field + +.. raw:: html + +
diff --git a/v0.2.0/_sources/api/generated/choclo.dipole.magnetic_n.rst b/v0.2.0/_sources/api/generated/choclo.dipole.magnetic_n.rst new file mode 100644 index 00000000..29617a29 --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.dipole.magnetic_n.rst @@ -0,0 +1,10 @@ +choclo.dipole.magnetic\_n +========================= + +.. currentmodule:: choclo.dipole + +.. autofunction:: magnetic_n + +.. raw:: html + +
diff --git a/v0.2.0/_sources/api/generated/choclo.dipole.magnetic_u.rst b/v0.2.0/_sources/api/generated/choclo.dipole.magnetic_u.rst new file mode 100644 index 00000000..7beb7c37 --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.dipole.magnetic_u.rst @@ -0,0 +1,10 @@ +choclo.dipole.magnetic\_u +========================= + +.. currentmodule:: choclo.dipole + +.. autofunction:: magnetic_u + +.. raw:: html + +
diff --git a/v0.2.0/_sources/api/generated/choclo.point.gravity_e.rst b/v0.2.0/_sources/api/generated/choclo.point.gravity_e.rst new file mode 100644 index 00000000..02230690 --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.point.gravity_e.rst @@ -0,0 +1,10 @@ +choclo.point.gravity\_e +======================= + +.. currentmodule:: choclo.point + +.. autofunction:: gravity_e + +.. raw:: html + +
diff --git a/v0.2.0/_sources/api/generated/choclo.point.gravity_ee.rst b/v0.2.0/_sources/api/generated/choclo.point.gravity_ee.rst new file mode 100644 index 00000000..8d110825 --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.point.gravity_ee.rst @@ -0,0 +1,10 @@ +choclo.point.gravity\_ee +======================== + +.. currentmodule:: choclo.point + +.. autofunction:: gravity_ee + +.. raw:: html + +
diff --git a/v0.2.0/_sources/api/generated/choclo.point.gravity_en.rst b/v0.2.0/_sources/api/generated/choclo.point.gravity_en.rst new file mode 100644 index 00000000..38e9df9e --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.point.gravity_en.rst @@ -0,0 +1,10 @@ +choclo.point.gravity\_en +======================== + +.. currentmodule:: choclo.point + +.. autofunction:: gravity_en + +.. raw:: html + +
diff --git a/v0.2.0/_sources/api/generated/choclo.point.gravity_eu.rst b/v0.2.0/_sources/api/generated/choclo.point.gravity_eu.rst new file mode 100644 index 00000000..0d349d72 --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.point.gravity_eu.rst @@ -0,0 +1,10 @@ +choclo.point.gravity\_eu +======================== + +.. currentmodule:: choclo.point + +.. autofunction:: gravity_eu + +.. raw:: html + +
diff --git a/v0.2.0/_sources/api/generated/choclo.point.gravity_n.rst b/v0.2.0/_sources/api/generated/choclo.point.gravity_n.rst new file mode 100644 index 00000000..7a80dcde --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.point.gravity_n.rst @@ -0,0 +1,10 @@ +choclo.point.gravity\_n +======================= + +.. currentmodule:: choclo.point + +.. autofunction:: gravity_n + +.. raw:: html + +
diff --git a/v0.2.0/_sources/api/generated/choclo.point.gravity_nn.rst b/v0.2.0/_sources/api/generated/choclo.point.gravity_nn.rst new file mode 100644 index 00000000..512684ae --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.point.gravity_nn.rst @@ -0,0 +1,10 @@ +choclo.point.gravity\_nn +======================== + +.. currentmodule:: choclo.point + +.. autofunction:: gravity_nn + +.. raw:: html + +
diff --git a/v0.2.0/_sources/api/generated/choclo.point.gravity_nu.rst b/v0.2.0/_sources/api/generated/choclo.point.gravity_nu.rst new file mode 100644 index 00000000..ee9d1a08 --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.point.gravity_nu.rst @@ -0,0 +1,10 @@ +choclo.point.gravity\_nu +======================== + +.. currentmodule:: choclo.point + +.. autofunction:: gravity_nu + +.. raw:: html + +
diff --git a/v0.2.0/_sources/api/generated/choclo.point.gravity_pot.rst b/v0.2.0/_sources/api/generated/choclo.point.gravity_pot.rst new file mode 100644 index 00000000..e4b4cfa3 --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.point.gravity_pot.rst @@ -0,0 +1,10 @@ +choclo.point.gravity\_pot +========================= + +.. currentmodule:: choclo.point + +.. autofunction:: gravity_pot + +.. raw:: html + +
diff --git a/v0.2.0/_sources/api/generated/choclo.point.gravity_u.rst b/v0.2.0/_sources/api/generated/choclo.point.gravity_u.rst new file mode 100644 index 00000000..246bcde2 --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.point.gravity_u.rst @@ -0,0 +1,10 @@ +choclo.point.gravity\_u +======================= + +.. currentmodule:: choclo.point + +.. autofunction:: gravity_u + +.. raw:: html + +
diff --git a/v0.2.0/_sources/api/generated/choclo.point.gravity_uu.rst b/v0.2.0/_sources/api/generated/choclo.point.gravity_uu.rst new file mode 100644 index 00000000..49271b25 --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.point.gravity_uu.rst @@ -0,0 +1,10 @@ +choclo.point.gravity\_uu +======================== + +.. currentmodule:: choclo.point + +.. autofunction:: gravity_uu + +.. raw:: html + +
diff --git a/v0.2.0/_sources/api/generated/choclo.point.kernel_e.rst b/v0.2.0/_sources/api/generated/choclo.point.kernel_e.rst new file mode 100644 index 00000000..36117c6b --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.point.kernel_e.rst @@ -0,0 +1,10 @@ +choclo.point.kernel\_e +====================== + +.. currentmodule:: choclo.point + +.. autofunction:: kernel_e + +.. raw:: html + +
diff --git a/v0.2.0/_sources/api/generated/choclo.point.kernel_ee.rst b/v0.2.0/_sources/api/generated/choclo.point.kernel_ee.rst new file mode 100644 index 00000000..5602d101 --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.point.kernel_ee.rst @@ -0,0 +1,10 @@ +choclo.point.kernel\_ee +======================= + +.. currentmodule:: choclo.point + +.. autofunction:: kernel_ee + +.. raw:: html + +
diff --git a/v0.2.0/_sources/api/generated/choclo.point.kernel_en.rst b/v0.2.0/_sources/api/generated/choclo.point.kernel_en.rst new file mode 100644 index 00000000..fb0cfe0f --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.point.kernel_en.rst @@ -0,0 +1,10 @@ +choclo.point.kernel\_en +======================= + +.. currentmodule:: choclo.point + +.. autofunction:: kernel_en + +.. raw:: html + +
diff --git a/v0.2.0/_sources/api/generated/choclo.point.kernel_eu.rst b/v0.2.0/_sources/api/generated/choclo.point.kernel_eu.rst new file mode 100644 index 00000000..2ecf80dd --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.point.kernel_eu.rst @@ -0,0 +1,10 @@ +choclo.point.kernel\_eu +======================= + +.. currentmodule:: choclo.point + +.. autofunction:: kernel_eu + +.. raw:: html + +
diff --git a/v0.2.0/_sources/api/generated/choclo.point.kernel_n.rst b/v0.2.0/_sources/api/generated/choclo.point.kernel_n.rst new file mode 100644 index 00000000..556069e6 --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.point.kernel_n.rst @@ -0,0 +1,10 @@ +choclo.point.kernel\_n +====================== + +.. currentmodule:: choclo.point + +.. autofunction:: kernel_n + +.. raw:: html + +
diff --git a/v0.2.0/_sources/api/generated/choclo.point.kernel_nn.rst b/v0.2.0/_sources/api/generated/choclo.point.kernel_nn.rst new file mode 100644 index 00000000..72355adf --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.point.kernel_nn.rst @@ -0,0 +1,10 @@ +choclo.point.kernel\_nn +======================= + +.. currentmodule:: choclo.point + +.. autofunction:: kernel_nn + +.. raw:: html + +
diff --git a/v0.2.0/_sources/api/generated/choclo.point.kernel_nu.rst b/v0.2.0/_sources/api/generated/choclo.point.kernel_nu.rst new file mode 100644 index 00000000..4b5e419b --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.point.kernel_nu.rst @@ -0,0 +1,10 @@ +choclo.point.kernel\_nu +======================= + +.. currentmodule:: choclo.point + +.. autofunction:: kernel_nu + +.. raw:: html + +
diff --git a/v0.2.0/_sources/api/generated/choclo.point.kernel_pot.rst b/v0.2.0/_sources/api/generated/choclo.point.kernel_pot.rst new file mode 100644 index 00000000..4f634d97 --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.point.kernel_pot.rst @@ -0,0 +1,10 @@ +choclo.point.kernel\_pot +======================== + +.. currentmodule:: choclo.point + +.. autofunction:: kernel_pot + +.. raw:: html + +
diff --git a/v0.2.0/_sources/api/generated/choclo.point.kernel_u.rst b/v0.2.0/_sources/api/generated/choclo.point.kernel_u.rst new file mode 100644 index 00000000..e1d08769 --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.point.kernel_u.rst @@ -0,0 +1,10 @@ +choclo.point.kernel\_u +====================== + +.. currentmodule:: choclo.point + +.. autofunction:: kernel_u + +.. raw:: html + +
diff --git a/v0.2.0/_sources/api/generated/choclo.point.kernel_uu.rst b/v0.2.0/_sources/api/generated/choclo.point.kernel_uu.rst new file mode 100644 index 00000000..54b74677 --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.point.kernel_uu.rst @@ -0,0 +1,10 @@ +choclo.point.kernel\_uu +======================= + +.. currentmodule:: choclo.point + +.. autofunction:: kernel_uu + +.. raw:: html + +
diff --git a/v0.2.0/_sources/api/generated/choclo.prism.gravity_e.rst b/v0.2.0/_sources/api/generated/choclo.prism.gravity_e.rst new file mode 100644 index 00000000..0a2179ef --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.prism.gravity_e.rst @@ -0,0 +1,10 @@ +choclo.prism.gravity\_e +======================= + +.. currentmodule:: choclo.prism + +.. autofunction:: gravity_e + +.. raw:: html + +
diff --git a/v0.2.0/_sources/api/generated/choclo.prism.gravity_ee.rst b/v0.2.0/_sources/api/generated/choclo.prism.gravity_ee.rst new file mode 100644 index 00000000..e6fdaa1f --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.prism.gravity_ee.rst @@ -0,0 +1,10 @@ +choclo.prism.gravity\_ee +======================== + +.. currentmodule:: choclo.prism + +.. autofunction:: gravity_ee + +.. raw:: html + +
diff --git a/v0.2.0/_sources/api/generated/choclo.prism.gravity_en.rst b/v0.2.0/_sources/api/generated/choclo.prism.gravity_en.rst new file mode 100644 index 00000000..ff6edbbb --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.prism.gravity_en.rst @@ -0,0 +1,10 @@ +choclo.prism.gravity\_en +======================== + +.. currentmodule:: choclo.prism + +.. autofunction:: gravity_en + +.. raw:: html + +
diff --git a/v0.2.0/_sources/api/generated/choclo.prism.gravity_eu.rst b/v0.2.0/_sources/api/generated/choclo.prism.gravity_eu.rst new file mode 100644 index 00000000..9134ea35 --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.prism.gravity_eu.rst @@ -0,0 +1,10 @@ +choclo.prism.gravity\_eu +======================== + +.. currentmodule:: choclo.prism + +.. autofunction:: gravity_eu + +.. raw:: html + +
diff --git a/v0.2.0/_sources/api/generated/choclo.prism.gravity_n.rst b/v0.2.0/_sources/api/generated/choclo.prism.gravity_n.rst new file mode 100644 index 00000000..d4ecf008 --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.prism.gravity_n.rst @@ -0,0 +1,10 @@ +choclo.prism.gravity\_n +======================= + +.. currentmodule:: choclo.prism + +.. autofunction:: gravity_n + +.. raw:: html + +
diff --git a/v0.2.0/_sources/api/generated/choclo.prism.gravity_nn.rst b/v0.2.0/_sources/api/generated/choclo.prism.gravity_nn.rst new file mode 100644 index 00000000..efa1f117 --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.prism.gravity_nn.rst @@ -0,0 +1,10 @@ +choclo.prism.gravity\_nn +======================== + +.. currentmodule:: choclo.prism + +.. autofunction:: gravity_nn + +.. raw:: html + +
diff --git a/v0.2.0/_sources/api/generated/choclo.prism.gravity_nu.rst b/v0.2.0/_sources/api/generated/choclo.prism.gravity_nu.rst new file mode 100644 index 00000000..e4cf87ab --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.prism.gravity_nu.rst @@ -0,0 +1,10 @@ +choclo.prism.gravity\_nu +======================== + +.. currentmodule:: choclo.prism + +.. autofunction:: gravity_nu + +.. raw:: html + +
diff --git a/v0.2.0/_sources/api/generated/choclo.prism.gravity_pot.rst b/v0.2.0/_sources/api/generated/choclo.prism.gravity_pot.rst new file mode 100644 index 00000000..17edc02b --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.prism.gravity_pot.rst @@ -0,0 +1,10 @@ +choclo.prism.gravity\_pot +========================= + +.. currentmodule:: choclo.prism + +.. autofunction:: gravity_pot + +.. raw:: html + +
diff --git a/v0.2.0/_sources/api/generated/choclo.prism.gravity_u.rst b/v0.2.0/_sources/api/generated/choclo.prism.gravity_u.rst new file mode 100644 index 00000000..df50d376 --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.prism.gravity_u.rst @@ -0,0 +1,10 @@ +choclo.prism.gravity\_u +======================= + +.. currentmodule:: choclo.prism + +.. autofunction:: gravity_u + +.. raw:: html + +
diff --git a/v0.2.0/_sources/api/generated/choclo.prism.gravity_uu.rst b/v0.2.0/_sources/api/generated/choclo.prism.gravity_uu.rst new file mode 100644 index 00000000..b148824b --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.prism.gravity_uu.rst @@ -0,0 +1,10 @@ +choclo.prism.gravity\_uu +======================== + +.. currentmodule:: choclo.prism + +.. autofunction:: gravity_uu + +.. raw:: html + +
diff --git a/v0.2.0/_sources/api/generated/choclo.prism.kernel_e.rst b/v0.2.0/_sources/api/generated/choclo.prism.kernel_e.rst new file mode 100644 index 00000000..c251389b --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.prism.kernel_e.rst @@ -0,0 +1,10 @@ +choclo.prism.kernel\_e +====================== + +.. currentmodule:: choclo.prism + +.. autofunction:: kernel_e + +.. raw:: html + +
diff --git a/v0.2.0/_sources/api/generated/choclo.prism.kernel_ee.rst b/v0.2.0/_sources/api/generated/choclo.prism.kernel_ee.rst new file mode 100644 index 00000000..bd8922ae --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.prism.kernel_ee.rst @@ -0,0 +1,10 @@ +choclo.prism.kernel\_ee +======================= + +.. currentmodule:: choclo.prism + +.. autofunction:: kernel_ee + +.. raw:: html + +
diff --git a/v0.2.0/_sources/api/generated/choclo.prism.kernel_en.rst b/v0.2.0/_sources/api/generated/choclo.prism.kernel_en.rst new file mode 100644 index 00000000..63ba37c2 --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.prism.kernel_en.rst @@ -0,0 +1,10 @@ +choclo.prism.kernel\_en +======================= + +.. currentmodule:: choclo.prism + +.. autofunction:: kernel_en + +.. raw:: html + +
diff --git a/v0.2.0/_sources/api/generated/choclo.prism.kernel_eu.rst b/v0.2.0/_sources/api/generated/choclo.prism.kernel_eu.rst new file mode 100644 index 00000000..211c77ac --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.prism.kernel_eu.rst @@ -0,0 +1,10 @@ +choclo.prism.kernel\_eu +======================= + +.. currentmodule:: choclo.prism + +.. autofunction:: kernel_eu + +.. raw:: html + +
diff --git a/v0.2.0/_sources/api/generated/choclo.prism.kernel_n.rst b/v0.2.0/_sources/api/generated/choclo.prism.kernel_n.rst new file mode 100644 index 00000000..06730bef --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.prism.kernel_n.rst @@ -0,0 +1,10 @@ +choclo.prism.kernel\_n +====================== + +.. currentmodule:: choclo.prism + +.. autofunction:: kernel_n + +.. raw:: html + +
diff --git a/v0.2.0/_sources/api/generated/choclo.prism.kernel_nn.rst b/v0.2.0/_sources/api/generated/choclo.prism.kernel_nn.rst new file mode 100644 index 00000000..51dfa634 --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.prism.kernel_nn.rst @@ -0,0 +1,10 @@ +choclo.prism.kernel\_nn +======================= + +.. currentmodule:: choclo.prism + +.. autofunction:: kernel_nn + +.. raw:: html + +
diff --git a/v0.2.0/_sources/api/generated/choclo.prism.kernel_nu.rst b/v0.2.0/_sources/api/generated/choclo.prism.kernel_nu.rst new file mode 100644 index 00000000..334fcf69 --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.prism.kernel_nu.rst @@ -0,0 +1,10 @@ +choclo.prism.kernel\_nu +======================= + +.. currentmodule:: choclo.prism + +.. autofunction:: kernel_nu + +.. raw:: html + +
diff --git a/v0.2.0/_sources/api/generated/choclo.prism.kernel_pot.rst b/v0.2.0/_sources/api/generated/choclo.prism.kernel_pot.rst new file mode 100644 index 00000000..79538c01 --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.prism.kernel_pot.rst @@ -0,0 +1,10 @@ +choclo.prism.kernel\_pot +======================== + +.. currentmodule:: choclo.prism + +.. autofunction:: kernel_pot + +.. raw:: html + +
diff --git a/v0.2.0/_sources/api/generated/choclo.prism.kernel_u.rst b/v0.2.0/_sources/api/generated/choclo.prism.kernel_u.rst new file mode 100644 index 00000000..a52f4387 --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.prism.kernel_u.rst @@ -0,0 +1,10 @@ +choclo.prism.kernel\_u +====================== + +.. currentmodule:: choclo.prism + +.. autofunction:: kernel_u + +.. raw:: html + +
diff --git a/v0.2.0/_sources/api/generated/choclo.prism.kernel_uu.rst b/v0.2.0/_sources/api/generated/choclo.prism.kernel_uu.rst new file mode 100644 index 00000000..0a5253e0 --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.prism.kernel_uu.rst @@ -0,0 +1,10 @@ +choclo.prism.kernel\_uu +======================= + +.. currentmodule:: choclo.prism + +.. autofunction:: kernel_uu + +.. raw:: html + +
diff --git a/v0.2.0/_sources/api/generated/choclo.prism.magnetic_e.rst b/v0.2.0/_sources/api/generated/choclo.prism.magnetic_e.rst new file mode 100644 index 00000000..0dcb3f01 --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.prism.magnetic_e.rst @@ -0,0 +1,10 @@ +choclo.prism.magnetic\_e +======================== + +.. currentmodule:: choclo.prism + +.. autofunction:: magnetic_e + +.. raw:: html + +
diff --git a/v0.2.0/_sources/api/generated/choclo.prism.magnetic_field.rst b/v0.2.0/_sources/api/generated/choclo.prism.magnetic_field.rst new file mode 100644 index 00000000..4d9e84dd --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.prism.magnetic_field.rst @@ -0,0 +1,10 @@ +choclo.prism.magnetic\_field +============================ + +.. currentmodule:: choclo.prism + +.. autofunction:: magnetic_field + +.. raw:: html + +
diff --git a/v0.2.0/_sources/api/generated/choclo.prism.magnetic_n.rst b/v0.2.0/_sources/api/generated/choclo.prism.magnetic_n.rst new file mode 100644 index 00000000..16517bfd --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.prism.magnetic_n.rst @@ -0,0 +1,10 @@ +choclo.prism.magnetic\_n +======================== + +.. currentmodule:: choclo.prism + +.. autofunction:: magnetic_n + +.. raw:: html + +
diff --git a/v0.2.0/_sources/api/generated/choclo.prism.magnetic_u.rst b/v0.2.0/_sources/api/generated/choclo.prism.magnetic_u.rst new file mode 100644 index 00000000..adbd79ac --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.prism.magnetic_u.rst @@ -0,0 +1,10 @@ +choclo.prism.magnetic\_u +======================== + +.. currentmodule:: choclo.prism + +.. autofunction:: magnetic_u + +.. raw:: html + +
diff --git a/v0.2.0/_sources/api/generated/choclo.utils.distance_cartesian.rst b/v0.2.0/_sources/api/generated/choclo.utils.distance_cartesian.rst new file mode 100644 index 00000000..a4ae3f7c --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.utils.distance_cartesian.rst @@ -0,0 +1,10 @@ +choclo.utils.distance\_cartesian +================================ + +.. currentmodule:: choclo.utils + +.. autofunction:: distance_cartesian + +.. raw:: html + +
diff --git a/v0.2.0/_sources/api/generated/choclo.utils.distance_spherical.rst b/v0.2.0/_sources/api/generated/choclo.utils.distance_spherical.rst new file mode 100644 index 00000000..225bf17e --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.utils.distance_spherical.rst @@ -0,0 +1,10 @@ +choclo.utils.distance\_spherical +================================ + +.. currentmodule:: choclo.utils + +.. autofunction:: distance_spherical + +.. raw:: html + +
diff --git a/v0.2.0/_sources/api/generated/choclo.utils.distance_spherical_core.rst b/v0.2.0/_sources/api/generated/choclo.utils.distance_spherical_core.rst new file mode 100644 index 00000000..5f711102 --- /dev/null +++ b/v0.2.0/_sources/api/generated/choclo.utils.distance_spherical_core.rst @@ -0,0 +1,10 @@ +choclo.utils.distance\_spherical\_core +====================================== + +.. currentmodule:: choclo.utils + +.. autofunction:: distance_spherical_core + +.. raw:: html + +
diff --git a/v0.2.0/_sources/api/index.rst b/v0.2.0/_sources/api/index.rst new file mode 100644 index 00000000..c7ae9bbf --- /dev/null +++ b/v0.2.0/_sources/api/index.rst @@ -0,0 +1,143 @@ +.. _api: + +List of functions and classes (API) +=================================== + +.. automodule:: choclo + +.. currentmodule:: choclo + +Kernel and forward modelling functions +-------------------------------------- + +Here you will find the list of available kernel and forward modelling functions +for gravity and magnetic fields generated by different type of sources. + +Point sources and dipoles +~~~~~~~~~~~~~~~~~~~~~~~~~ + +For point sources, dipoles and observation points defined in **Cartesian +coordinates**. + +Gravity +^^^^^^^ + +.. autosummary:: + :toctree: generated/ + + point.gravity_pot + point.gravity_e + point.gravity_n + point.gravity_u + point.gravity_ee + point.gravity_nn + point.gravity_uu + point.gravity_en + point.gravity_eu + point.gravity_nu + +Magnetic +^^^^^^^^ + +.. autosummary:: + :toctree: generated/ + + dipole.magnetic_e + dipole.magnetic_n + dipole.magnetic_u + dipole.magnetic_field + +Kernels +^^^^^^^ + +.. autosummary:: + :toctree: generated/ + + point.kernel_pot + point.kernel_e + point.kernel_n + point.kernel_u + point.kernel_ee + point.kernel_nn + point.kernel_uu + point.kernel_en + point.kernel_eu + point.kernel_nu + + +Rectangular Prisms +~~~~~~~~~~~~~~~~~~ + +Gravity +^^^^^^^ + +.. autosummary:: + :toctree: generated/ + + prism.gravity_pot + prism.gravity_e + prism.gravity_n + prism.gravity_u + prism.gravity_ee + prism.gravity_nn + prism.gravity_uu + prism.gravity_en + prism.gravity_eu + prism.gravity_nu + +Magnetic +^^^^^^^^ + +.. autosummary:: + :toctree: generated/ + + prism.magnetic_field + prism.magnetic_e + prism.magnetic_n + prism.magnetic_u + +Kernels +^^^^^^^ + +.. autosummary:: + :toctree: generated/ + + prism.kernel_pot + prism.kernel_e + prism.kernel_n + prism.kernel_u + prism.kernel_ee + prism.kernel_nn + prism.kernel_uu + prism.kernel_en + prism.kernel_eu + prism.kernel_nu + + +Utilities +--------- + +Euclidean distances +~~~~~~~~~~~~~~~~~~~ + +Use these functions to compute Euclidean distance in Cartesian and spherical +coordinates: + +.. autosummary:: + :toctree: generated/ + + utils.distance_cartesian + utils.distance_spherical + utils.distance_spherical_core + + +Universal Constants +~~~~~~~~~~~~~~~~~~~ + +Access universal physical constants given in SI units: + +.. autosummary:: + :toctree: generated/ + + constants.GRAVITATIONAL_CONST + constants.VACUUM_MAGNETIC_PERMEABILITY diff --git a/v0.2.0/_sources/changes.rst b/v0.2.0/_sources/changes.rst new file mode 100644 index 00000000..c567fccc --- /dev/null +++ b/v0.2.0/_sources/changes.rst @@ -0,0 +1,112 @@ +.. _changes: + +Changelog +========= + +Version 0.2.0 +------------- + +Released on: 2024/04/09 + +doi: https://doi.org/10.5281/zenodo.10951580 + +New features: + +* Restore kernel functions for forward modelling of point sources (`#58 + `__) + +Documentation: + +* Update the versions of Sphinx and its plugins, including dark theme and minor + changes to the style of the docs (`#64 + `__) +* Mention SimPEG's support and collaboration in docs (`#65 + `__) + +Maintenance: + +* Use pip instead of conda for the docs workflow (`#63 + `__) +* Use Burocrata to check/add license notices (`#66 + `__) +* Use Dependabot to manage GitHub Actions updates (`#68 + `__) +* Setup Trusted Publisher deployment to PyPI (`#67 + `__) +* Ditch setup.cfg and replace it with pyproject.toml (`#77 + `__) +* Replace `_version_generated.py` for `_version.py` (`#80 + `__) +* Extend support for Python 3.12 (`#79 + `__) +* Drop support for Python 3.7 (`#78 + `__) +* Update Black formatting to version 24.2 (`#61 + `__) + +This release contains contributions from: + +* Santiago Soler +* Leonardo Uieda + + +Version 0.1.0 +------------- + +Released on: 2023/05/12 + +doi: https://doi.org/10.5281/zenodo.7931023 + +Breaking changes: + +* Ditch kernel functions for point masses (`#42 `__) +* Make Choclo functions to take only scalar inputs instead of array inputs (`#50 `__) +* Update the value of the gravitational constant to the latest standard (`#56 `__) + +Bug fixes: + +* Fix bug on non-diagonal tensor components of prisms (`#27 `__) + +New features: + +* Gravity and magnetic forward models for prisms return nan on singular points (`#30 `__) + +Maintenance: + +* Drop support for Python 3.6 (`#29 `__) +* Add missing matplotlib to the dev environment (`#44 `__) + +Documentation: + +* Add installation instructions to the docs (`#35 `__) +* Improve Overview page in docs: avoid printing huge arrays, and add plots (`#37 `__) +* Add buttons to download user guide pages (`#39 `__) +* Add User Guide with example for building jacobians (`#40 `__) +* Move "How to use Choclo" to its own user guide page (`#41 `__) +* Improve math in Jacobian matrix user guide page (`#43 `__) +* Add Zenodo doi for all versions for citation (`#45 `__) +* Add changelog and links to docs for other versions (`#46 `__) +* Add a logo for Choclo, based on colorful corn variations from the Andes (`#48 `__) + +This release contains contributions from: + +* Santiago Soler +* Leonardo Uieda + + +Version 0.0.1 +------------- + +Released on: 2022/11/19 + +doi: https://doi.org/10.5281/zenodo.7851748 + +First release of Choclo, including functions for gravity and magnetic forward +modelling of point sources and right-rectangular prisms. This first release +will serve as a test of the API concept as we trial the use Choclo in other +projects. + +This release contains contributions from: + +* Santiago Soler +* Leonardo Uieda diff --git a/v0.2.0/_sources/citing.rst b/v0.2.0/_sources/citing.rst new file mode 100644 index 00000000..9c76d397 --- /dev/null +++ b/v0.2.0/_sources/citing.rst @@ -0,0 +1,3 @@ +.. _citing: + +.. include:: ../CITATION.rst diff --git a/v0.2.0/_sources/compatibility.rst b/v0.2.0/_sources/compatibility.rst new file mode 100644 index 00000000..302d36e8 --- /dev/null +++ b/v0.2.0/_sources/compatibility.rst @@ -0,0 +1,60 @@ +.. _compatibility: + +Version compatibility +===================== + +Choclo version compatibility +------------------------------- + +Choclo uses `semantic versioning `__ (i.e., +``MAJOR.MINOR.BUGFIX`` format). + +* Major releases mean that backwards incompatible changes were made. + Upgrading will require users to change their code. +* Minor releases add new features/data without changing existing functionality. + Users can upgrade minor versions without changing their code. +* Bug fix releases fix errors in a previous release without adding new + functionality. Users can upgrade minor versions without changing their code. + +We will add ``FutureWarning`` messages about deprecations ahead of making any +breaking changes to give users a chance to upgrade. + +.. warning:: + + The above does not apply to versions < ``1.0.0``. All ``0.*`` versions may + deprecate, remove, or change functionality between releases. Proper + warnings will be raised and any breaking changes will be marked as such in + the :ref:`changes`. + +.. _dependency-versions: + +Supported dependency versions +----------------------------- + +Choclo follows the recommendations in +`NEP29 `__ for setting +the minimum required version of our dependencies. +In short, we support **all minor releases of our dependencies from the previous +24 months** before a Choclo release with a minimum of 2 minor releases. + +We follow this guidance conservatively and won't require newer versions if the +older ones are still working without causing problems. +Whenever support for a version is dropped, we will include a note in the +:ref:`changes`. + + +.. _python-versions: + +Supported Python versions +------------------------- + +If you require support for older Python versions, please pin Choclo to the +following releases to ensure compatibility: + +.. list-table:: + :widths: 40 60 + + * - **Python version** + - **Last compatible release** + * - 3.7 + - 0.1.0 diff --git a/v0.2.0/_sources/index.rst b/v0.2.0/_sources/index.rst new file mode 100644 index 00000000..38d66211 --- /dev/null +++ b/v0.2.0/_sources/index.rst @@ -0,0 +1,141 @@ +.. title:: Home + +.. grid:: + :gutter: 2 3 3 3 + :margin: 5 5 0 0 + :padding: 0 0 0 0 + + .. grid-item:: + :columns: 12 8 8 8 + + .. raw:: html + +

Choclo

+ + .. div:: sd-fs-3 + + Kernel functions for your geophysical models + + .. grid-item:: + :columns: 12 4 4 4 + + .. image:: ./_static/choclo-logo.svg + :width: 200px + :class: sd-m-auto dark-light + +**Choclo** is a Python library that hosts optimized forward modelling and +kernel functions for running geophysical forward and inverse models, intended +to be used by other libraries as the underlying layer of their computation. + +Choclo is part of the `Fatiando a Terra `__ project, +and built in collaboration with `SimPEG `__ with the goal +of developing a common engine for running gravity and magnetic forward models. + +.. hint:: + + "Choclo" is a term used in some countries of South America to refer to corn, + originated from the `quechua + `__ + word *chuqllu*. + + +.. grid:: 1 2 1 2 + :margin: 5 5 0 0 + :padding: 0 0 0 0 + :gutter: 4 + + .. grid-item-card:: :octicon:`rocket` Getting started + :text-align: center + :class-title: sd-fs-5 + :class-card: sd-p-3 + + New to Choclo? Start here! + + .. button-ref:: overview + :click-parent: + :color: primary + :outline: + :expand: + + .. grid-item-card:: :octicon:`comment-discussion` Need help? + :text-align: center + :class-title: sd-fs-5 + :class-card: sd-p-3 + + Ask on our community channels + + .. button-link:: https://www.fatiando.org/contact + :click-parent: + :color: primary + :outline: + :expand: + + Join the conversation + + .. grid-item-card:: :octicon:`file-badge` Reference documentation + :text-align: center + :class-title: sd-fs-5 + :class-card: sd-p-3 + + A list of modules and functions + + .. button-ref:: api + :click-parent: + :color: primary + :outline: + :expand: + + .. grid-item-card:: :octicon:`bookmark` Using Choclo for research? + :text-align: center + :class-title: sd-fs-5 + :class-card: sd-p-3 + + Citations help support our work + + .. button-ref:: citing + :click-parent: + :color: primary + :outline: + :expand: + + +.. toctree:: + :hidden: + :maxdepth: 1 + :caption: Getting Started + + overview.rst + install.rst + +.. toctree:: + :hidden: + :maxdepth: 1 + :caption: User Guide + + user_guide/how-to-use.rst + user_guide/jacobian.rst + +.. toctree:: + :maxdepth: 1 + :hidden: + :caption: Reference Documentation + + api/index.rst + citing.rst + references.rst + changes.rst + compatibility.rst + versions.rst + + +.. toctree:: + :maxdepth: 1 + :hidden: + :caption: Community + + Join the community + How to contribute + Code of Conduct + Source code on GitHub + The Fatiando a Terra project + SimPEG diff --git a/v0.2.0/_sources/install.rst b/v0.2.0/_sources/install.rst new file mode 100644 index 00000000..346f5bc3 --- /dev/null +++ b/v0.2.0/_sources/install.rst @@ -0,0 +1,71 @@ +.. _install: + +Installing +========== + +Which Python? +------------- + +You'll need **Python 3.8 or greater**. +See :ref:`python-versions` if you require support for older versions. + +We recommend using the +`Anaconda Python distribution `__ +to ensure you have all dependencies installed and the ``conda`` package manager +available. +Installing Anaconda does not require administrative rights to your computer and +doesn't interfere with any other Python installations in your system. + + +Dependencies +------------ + +The required dependencies should be installed automatically when you install +Choclo using ``conda`` or ``pip``. Optional dependencies have to be +installed manually. + +.. note:: + + See :ref:`dependency-versions` for the our policy of oldest supported + versions of each dependency. + +Required: + +* `numpy `__ +* `numba `__ + +The examples in the :ref:`overview` also use: + +* `matplotlib `__ for plotting + +Installing with conda +--------------------- + +You can install Choclo using the `conda package manager +`__ that comes with the Anaconda distribution:: + + conda install choclo --channel conda-forge + + +Installing with pip +------------------- + +Alternatively, you can also use the `pip package manager +`__:: + + pip install choclo + + +Installing the latest development version +----------------------------------------- + +You can use ``pip`` to install the latest source from Github:: + + pip install https://github.com/fatiando/choclo/archive/main.zip + +Alternatively, you can clone the git repository locally and install from +there:: + + git clone https://github.com/fatiando/choclo.git + cd choclo + pip install . diff --git a/v0.2.0/_sources/overview.rst b/v0.2.0/_sources/overview.rst new file mode 100644 index 00000000..1213f613 --- /dev/null +++ b/v0.2.0/_sources/overview.rst @@ -0,0 +1,214 @@ +.. _overview: + +Overview +======== + +Choclo provides slim and optimized functions to compute the gravitational and +magnetic fields of simple geometries like point masses, magnetic dipoles and +prisms. It also provides the *kernel* functions needed to run compute those +fields. The goal of Choclo is to provide developers a simple and efficient +way to calculate these fields for a wide range of applications, like forward +modellings, sensitivity matrices calculations, equivalent sources +implementations and more. + +These functions are not designed to be used by final users. Instead they are +meant to be part of the underlying engine of a higher level codebase, like +`Harmonica `__ and `SimPEG +`__. + +All Choclo functions rely on `Numba `__ for +just-in-time compilations, meaning that there's no need to distribute +precompiled code: Choclo provides pure Python code that gets compiled during +runtime allowing to run them as fast as they were written in C. +Moreover, developers could harness the power of Numba to parallelize processes +in a quick and easy way. + + +Conventions +----------- + +Before you jump into Choclo's functions, it's worth noting some conventions +that will be kept along its codebase: + +- The functions assume a right-handed coordinate system. We avoid using names + like "x", "y" and "z" for the coordinates. Instead we use "easting", + "northing" and "upward" to make extra clear the direction of each axis. +- We use the first letter of the *easting*, *northing* and *upward* axis to + indicate direction of derivatives. For example, a function ``gravity_e`` will + compute the *easting* component of the gravitational acceleration, while the + ``gravity_n`` and ``gravity_u`` will compute the *northing* and *upward* + ones, respectively. +- The arguments of the functions are always assumed in SI units. And all the + functions return results also in SI units. Choclo **doesn't** perform **unit + conversions**. +- The components of the gravitational accelerations and the magnetic fields are + computed in the same direction of the *easting*, *northing* and *upward* + axis. So ``gravity_u`` will compute the **upward** component of the + gravitational acceleration (note the difference with the **downward** + component). + + +The library +----------- + +Choclo is divided in a few different submodules, each with different goals. The +three main modules are the ones that host the forward and kernel functions for +the different geometries supported by Choclo: ``point``, ``dipole`` and +``prism``. Inside each one of these modules we will find forward modelling +functions and potentially some kernel functions. The names of the forward +modelling functions follow a simple pattern of ``{field}_{type}``. For +example, :func:`choclo.prism.gravity_e` computes the easting component of the +gravitational acceleration of a prism, while :func:`choclo.prism.gravity_ee` +computes the easting-easting gravity tensor component. + +Gravity forward modelling +~~~~~~~~~~~~~~~~~~~~~~~~~ + +Choclo offers functions to forward model the gravity fields of point masses and +rectangular prisms. + +For example, we can compute the gravity acceleration and gravity tensor +components of a single point mass on a single observation point: + +.. jupyter-execute:: + + import choclo + + # Define a single point mass located 10 meters below the zero height + easting_m, northing_m, upward_m = 0., 0., -10. + mass = 1e4 # mass of the source in kg + + # Define coordinates of an observation point 2 meters above the zero height + easting, northing, upward = 0., 0., 2. + + # Compute the upward compont of the gravity acceleration the point mass + # generates on this observation point (in SI units) + g_u = choclo.point.gravity_u( + easting, northing, upward, easting_m, northing_m, upward_m, mass + ) + print(f"g_u: {g_u:.2e} m s^(-2)") + + # Compute gravity tensor components (in SI units) + g_eu = choclo.point.gravity_eu( + easting, northing, upward, easting_m, northing_m, upward_m, mass + ) + g_uu = choclo.point.gravity_uu( + easting, northing, upward, easting_m, northing_m, upward_m, mass + ) + print(f"g_eu: {g_eu:.2e} s^(-2)") + print(f"g_uu: {g_uu:.2e} s^(-2)") + + +We can do something similar for a rectangular prism: + +.. jupyter-execute:: + + import numpy as np + + # Define a single rectangular prism through its boundaries + west, east, south, north, bottom, top = -1., 5., -4., 4., -20., -10. + density = 2900 # density of the prism in kg m^(-3) + + # Define coordinates of an observation point + easting, northing, upward = 1., 3., -1. + + # Compute the upward compont of the gravity acceleration the prism + # generates on this observation point (in SI units) + g_u = choclo.prism.gravity_u( + easting, northing, upward, west, east, south, north, bottom, top, density, + ) + print(f"g_u: {g_u:.2e} m s^(-2)") + + # Compute gravity tensor components (in SI units) + g_nu = choclo.prism.gravity_nu( + easting, northing, upward, west, east, south, north, bottom, top, density, + ) + g_ee = choclo.prism.gravity_ee( + easting, northing, upward, west, east, south, north, bottom, top, density, + ) + print(f"g_nu: {g_nu:.2e} s^(-2)") + print(f"g_ee: {g_ee:.2e} s^(-2)") + + +Magnetic forward modelling +~~~~~~~~~~~~~~~~~~~~~~~~~~ + +Choclo also offers functions for computing the magnetic field of dipoles and +rectangular prisms. We can choose to compute the three components at once (using +functions like :func:`choclo.dipole.magnetic_field` and +:func:`choclo.prism.magnetic_field`), or one component at a time (see +:func:`choclo.dipole.magnetic_e` and :func:`choclo.prism.magnetic_u` for +example). + +For example, we can compute the three magnetic field components of a dipole on +a single observation point: + +.. jupyter-execute:: + + # Define the location of a dipole + easting_d, northing_d, upward_d = -4., 2., -1. + + # Define the magnetic moment vector of the dipole (in A m^2) + mag_moment_e, mag_moment_n, mag_moment_u = 1., 1., -2. + + # Define coordinates of an observation point + easting, northing, upward = -2., 2., 2. + + # Compute the magnetic field of the dipole on the observation point (in T) + b_e, b_n, b_u = choclo.dipole.magnetic_field( + easting, + northing, + upward, + easting_d, + northing_d, + upward_d, + mag_moment_e, + mag_moment_n, + mag_moment_u, + ) + print(f"b_e: {b_e:.2e} T") + print(f"b_n: {b_n:.2e} T") + print(f"b_u: {b_u:.2e} T") + + +Or the upward component of the magnetic field generated by a prism: + +.. jupyter-execute:: + + # Define a rectangular prism + west, east, south, north, bottom, top = -1., 5., -4., 4., -20., -10. + + # Define its magnetization vector (in A m^(-1)) + m_e, m_n, m_u = 0.5, -1.5, -1.3 + + # Define coordinates of an observation point + easting, northing, upward = 3., 0., -1. + + # Compute the upward component of the magnetic field of the prism (in T) + b_u = choclo.prism.magnetic_u( + easting, northing, upward, west, east, south, north, bottom, top, m_e, m_n, m_u, + ) + print(f"b_u: {b_u:.2e} T") + +.. important:: + + Computing the three components independently is less efficient than + computing them all at once using the :func:`choclo.dipole.magnetic_field` or + :func:`choclo.prism.magnetic_field` functions. + +.. seealso:: + + :ref:`howtouse` provides detailed instructions on how to use Choclo to + efficiently compute gravity and magnetic fields of multiple sources on + multiple observation points. + +---- + +.. grid:: 2 + + .. grid-item-card:: :jupyter-download-script:`Download Python script ` + :text-align: center + + .. grid-item-card:: :jupyter-download-nb:`Download Jupyter notebook ` + :text-align: center + diff --git a/v0.2.0/_sources/references.rst b/v0.2.0/_sources/references.rst new file mode 100644 index 00000000..512cd03c --- /dev/null +++ b/v0.2.0/_sources/references.rst @@ -0,0 +1,8 @@ +References +========== + +.. [Blakely1995] Blakely, R. (1995). Potential Theory in Gravity and Magnetic Applications. Cambridge: Cambridge University Press. doi:`10.1017/CBO9780511549816 `__ +.. [Fukushima2020] Fukushima, T. (2020). Speed and accuracy improvements in standard algorithm for prismatic gravitational field. Geophysical Journal International. doi:`10.1093/gji/ggaa240 `__ +.. [Nagy2000] Nagy, D., Papp, G. & Benedek, J.(2000). The gravitational potential and its derivatives for the prism. Journal of Geodesy 74: 552. doi:`10.1007/s001900000116 `__ +.. [Nagy2002] Nagy, D., Papp, G. & Benedek, J.(2002). Corrections to "The gravitational potential and its derivatives for the prism". Journal of Geodesy. doi:`10.1007/s00190-002-0264-7 `__ +.. [Oliveira2015] Oliveira, V. C., Sales, D. P., Barbosa, V. C. F., & Uieda, L. (2015). Estimation of the total magnetization direction of approximately spherical bodies. Nonlinear Processes in Geophysics, 22(2), 215–232. doi:`10.5194/npg-22-215-2015 `__ diff --git a/v0.2.0/_sources/user_guide/how-to-use.rst b/v0.2.0/_sources/user_guide/how-to-use.rst new file mode 100644 index 00000000..b4cc7acc --- /dev/null +++ b/v0.2.0/_sources/user_guide/how-to-use.rst @@ -0,0 +1,267 @@ +.. _howtouse: + +How to use Choclo +================= + +The simplest case +----------------- + +Using Choclo is very simple, but it requires some work from our side. Let's say +we need to compute the upward component of the gravitational acceleration that +a single rectangular prism produces on a single computation point. To do so we +can just call the :func:`choclo.prism.gravity_u` function: + +.. jupyter-execute:: + + import numpy as np + from choclo.prism import gravity_u + + # Define a single computation point + easting, northing, upward = 0.0, 0.0, 10.0 + + # Define the boundaries of the prism as a list + prism = [-10.0, 10.0, -7.0, 7.0, -15.0, -5.0] + + # And its density + density = 400.0 + + # Compute the upward component of the grav. acceleration + g_u = gravity_u(easting, northing, upward, *prism, density) + g_u + +But this case is very simple: we usually deal with multiple sources and +multiple computation points. + +Multiple sources and computation points +--------------------------------------- + +In case we have a collection of prisms with certain densities: + +.. jupyter-execute:: + + prisms = np.array([ + [-10.0, 0.0, -7.0, 0.0, -15.0, -10.0], + [-10.0, 0.0, 0.0, 7.0, -25.0, -15.0], + [0.0, 10.0, -7.0, 0.0, -20.0, -13.0], + [0.0, 10.0, 0.0, 7.0, -12.0, -8.0], + ]) + densities = np.array([200.0, 300.0, -100.0, 400.0]) + +And a set of observation points: + +.. jupyter-execute:: + + easting = np.linspace(-50.0, 50.0, 21) + northing = np.linspace(-40.0, 40.0, 21) + easting, northing = np.meshgrid(easting, northing) + upward = 10 * np.ones_like(easting) + + coordinates = (easting.ravel(), northing.ravel(), upward.ravel()) + +And we want to compute the gravitational acceleration that those prisms +generate on each observation point, we need to write some kind of loop that +computes the effect of each prism on each observation point and adds it to +a running result. + +A possible solution would be to use Python *for loops*: + +.. jupyter-execute:: + + def gravity_upward_slow(coordinates, prisms, densities): + """ + Compute the upward component of the acceleration of a set of prisms + """ + # Unpack coordinates of the observation points + easting, northing, upward = coordinates[:] + # Initialize a result array full of zeros + result = np.zeros_like(easting, dtype=np.float64) + # Compute the upward component that every prism generate on each + # observation point + for i in range(len(easting)): + for j in range(prisms.shape[0]): + result[i] += gravity_u( + easting[i], northing[i], upward[i], *prisms[j, :], densities[j] + ) + return result + +We use this function to compute the field on every point of the grid: + +.. jupyter-execute:: + + g_u = gravity_upward_slow(coordinates, prisms, densities) + +And plot the results: + +.. jupyter-execute:: + + import matplotlib.pyplot as plt + + plt.pcolormesh(easting, northing, g_u.reshape(easting.shape), shading='auto') + plt.gca().set_aspect("equal") + plt.colorbar() + plt.show() + +*For loops* are known to be slow, and in case we are working with very large +models and a large number of computation points these calculations could take +too long. So this solution is not recommended. + +.. important:: + + Using Python *for loops* to run Choclo's functions is not advisable! + + +We can write a much faster and efficient solution relying on :mod:`numba`. +Since every function in Choclo is being JIT compiled, we can safely include +calls to these functions inside other JIT compiled functions. So we can write +an alternative function by adding a ``@numba.jit`` decorator: + + +.. jupyter-execute:: + + import numba + + @numba.jit(nopython=True) + def gravity_upward_jit(coordinates, prisms, densities): + """ + Compute the upward component of the acceleration of a set of prisms + """ + # Unpack coordinates of the observation points + easting, northing, upward = coordinates[:] + # Initialize a result array full of zeros + result = np.zeros_like(easting, dtype=np.float64) + # Compute the upward component that every prism generate on each + # observation point + for i in range(len(easting)): + for j in range(prisms.shape[0]): + result[i] += gravity_u( + easting[i], + northing[i], + upward[i], + prisms[j, 0], + prisms[j, 1], + prisms[j, 2], + prisms[j, 3], + prisms[j, 4], + prisms[j, 5], + densities[j], + ) + return result + + g_u = gravity_upward_jit(coordinates, prisms, densities) + + plt.pcolormesh(easting, northing, g_u.reshape(easting.shape), shading='auto') + plt.gca().set_aspect("equal") + plt.colorbar() + plt.show() + +Let's benchmark these two functions to see how much faster the decorated +function runs: + +.. jupyter-execute:: + + %timeit gravity_upward_slow(coordinates, prisms, densities) + +.. jupyter-execute:: + + %timeit gravity_upward_jit(coordinates, prisms, densities) + +From these numbers we can see that we have significantly reduced the +computation time by several factors by just decorating our function. + +.. note:: + + The benchmarked times may vary if you run them in your system. + +.. seealso:: + + Check `How to measure the performance of Numba? + `__ + to learn more about how to properly benchmark jitted functions. + + +Parallelizing our runs +---------------------- + +We have already shown how we can reduce the computation times of our forward +modelling by decorating our functions with ``@numba.jit(nopython=True)``. But +this is just the first step: all the computations were being run in *serial* in +a single CPU. We can harness the full power of our modern multiprocessors CPUs +by parallelizing our runs. To do so we need to use the :func:`numba.prange` +instead of the regular Python ``range`` function and slightly change the +decorator of our function by adding a ``parallel=True`` argument: + +.. jupyter-execute:: + + @numba.jit(nopython=True, parallel=True) + def gravity_upward_parallel(coordinates, prisms, densities): + """ + Compute the upward component of the acceleration of a set of prisms + """ + # Unpack coordinates of the observation points + easting, northing, upward = coordinates[:] + # Initialize a result array full of zeros + result = np.zeros_like(easting, dtype=np.float64) + # Compute the upward component that every prism generate on each + # observation point + for i in numba.prange(len(easting)): + for j in range(prisms.shape[0]): + result[i] += gravity_u( + easting[i], + northing[i], + upward[i], + prisms[j, 0], + prisms[j, 1], + prisms[j, 2], + prisms[j, 3], + prisms[j, 4], + prisms[j, 5], + densities[j], + ) + return result + + g_u = gravity_upward_parallel(coordinates, prisms, densities) + + plt.pcolormesh(easting, northing, g_u.reshape(easting.shape), shading='auto') + plt.gca().set_aspect("equal") + plt.colorbar() + plt.show() + +With :func:`numba.prange` we can specify which loop we want to run in parallel. +Since we are updating the values of ``results`` on each iteration, it's +advisable to parallelize the loop over the observation points. +By setting ``parallel=True`` in the decorator we are telling Numba to +parallelize this function, otherwise Numba will reinterpret the +``numba.prange`` function as a regular ``range`` and run this loop in serial. + +.. note:: + + In some applications it's desirable that our forward models are run in + serial. For example, if they are part of larger problem that gets + parallelized at a higher level. The ``parallel`` parameter in the + ``numba.jit`` decorator allows us to change this behaviour at will without + having to modify the function code. + +Let's benchmark this function against the non-parallelized +``gravity_upward_jit``: + +.. jupyter-execute:: + + %timeit gravity_upward_jit(coordinates, prisms, densities) + +.. jupyter-execute:: + + %timeit gravity_upward_parallel(coordinates, prisms, densities) + +By distributing the load between multiple processors we were capable of +lowering the computation time by a few more factors. + +---- + +.. grid:: 2 + + .. grid-item-card:: :jupyter-download-script:`Download Python script ` + :text-align: center + + .. grid-item-card:: :jupyter-download-nb:`Download Jupyter notebook ` + :text-align: center + diff --git a/v0.2.0/_sources/user_guide/jacobian.rst b/v0.2.0/_sources/user_guide/jacobian.rst new file mode 100644 index 00000000..75b5a712 --- /dev/null +++ b/v0.2.0/_sources/user_guide/jacobian.rst @@ -0,0 +1,233 @@ +Building a Jacobian matrix +-------------------------- + +In several applications, like 3D inversions, we need to build the *Jacobian +matrix* (a.k.a *sensitivity matrix*) of our forward model for every observation +point, i.e. how much does our field changes when I apply an infinitesimal +change to the physical property of each source in the model. + +Let's take for example the upward component of the gravity acceleration of +prisms. Given :math:`N` observation points and :math:`M` prisms, the gravity +field on the :math:`i`-th observation point :math:`\mathbf{p}_i` can be +computed as: + +.. math:: + + g_u(\mathbf{p}_i) = \sum\limits_{j=1}^M G \, \rho_j \, u_j(\mathbf{p}_i) + +where :math:`\rho_j` is the density of the :math:`j`-th prism, :math:`G` is the +Universal Gravitational Constant and :math:`u_j(\mathbf{p}_i)` comprehends the +analytical solution for the forward modelling of the :math:`j`-th rectangular +prisms on the :math:`i`-th observation point: + +.. math:: + + u_j(\mathbf{p}_i) = + \Bigg\lvert \Bigg\lvert \Bigg\lvert + k_z(x, y, z) + \Bigg\rvert_{X_1}^{X_2} + \Bigg\rvert_{Y_1}^{Y_2} + \Bigg\rvert_{Z_1}^{Z_2} + +.. seealso:: + + See notes in :func:`choclo.prism.gravity_u` for more details on the + definition of the kernel function :math:`k_z` and the :math:`x`, :math:`y`, + :math:`z` coordinates. + +The Jacobian matrix :math:`\mathbf{J}` is an :math:`N \times M` matrix whose +elements are the partial derivatives of :math:`g_u(\mathbf{p_i})` with respect +to the density of the :math:`j`-th prism: + +.. math:: + + J_{ij} + = \frac{\partial g_u(\mathbf{p}_i)}{\partial \rho_j} + = G \, u_j(\mathbf{p}_i) + +In most potential field cases, the forward model is linear on the physical +property (density in this case), so the Jacobian elements are constant. + +In order to build the sensitivity matrix we must need to evaluate +:math:`u_j(\mathbf{p}_i)` on every observation point and for every prism. +We can easily do so with Choclo forward modelling functions, considering that +the prisms have unit density. + +Let's write a function that can build a sensitivity matrix for a set of +observation points and a set of prisms. Since this operation is as demanding as +forward modelling our entire set of prisms on every observation point, we +want it to run fast and optionally in parallel. Therefore, we are going to +write a Numba function with parallelization enabled: + +.. jupyter-execute:: + + import numba + import numpy as np + from choclo.prism import gravity_u + + @numba.jit(nopython=True, parallel=True) + def build_jacobian(coordinates, prisms): + """ + Build a sensitivity matrix for gravity_u of a prism + """ + # Unpack coordinates of the observation points + easting, northing, upward = coordinates[:] + # Initialize an empty 2d array for the sensitivity matrix + n_coords = easting.size + n_prisms = prisms.shape[0] + jacobian = np.empty((n_coords, n_prisms), dtype=np.float64) + # Compute the gravity_u field that each prism generate on every observation + # point, considering that they have a unit density + for i in numba.prange(len(easting)): + for j in range(prisms.shape[0]): + jacobian[i, j] = gravity_u( + easting[i], + northing[i], + upward[i], + prisms[j, 0], + prisms[j, 1], + prisms[j, 2], + prisms[j, 3], + prisms[j, 4], + prisms[j, 5], + 1.0, + ) + return jacobian + +.. note:: + + The :func:`numpy.empty` function creates an *empty* array. This means it + allocates the memory for this array, but it doesn't write any values in it. + Instead, the ``jacobian`` array is filled with garbage values after being + initialized. + + By using :func:`numpy.empty` we are saving some time, avoiding to fill the + ``jacobian`` array with values that we will soon overwrite in the following + for loops. + +Let's try this function by defining some prisms and observation points: + +.. jupyter-execute:: + + easting = np.linspace(-5.0, 5.0, 21) + northing = np.linspace(-4.0, 4.0, 21) + easting, northing = np.meshgrid(easting, northing) + upward = 10 * np.ones_like(easting) + + coordinates = (easting.ravel(), northing.ravel(), upward.ravel()) + + +.. jupyter-execute:: + + prisms = np.array( + [ + [-10.0, 0.0, -7.0, 0.0, -15.0, -10.0], + [-10.0, 0.0, 0.0, 7.0, -25.0, -15.0], + [0.0, 10.0, -7.0, 0.0, -20.0, -13.0], + [0.0, 10.0, 0.0, 7.0, -12.0, -8.0], + ] + ) + +And run it: + +.. jupyter-execute:: + + jacobian = build_jacobian(coordinates, prisms) + jacobian + +.. warning:: + + Jacobian matrices can be very big. Large number of observation points and + sources can lead to Jacobian matrices that cannot fit in the available + memory of your system. + +Now that we have defined our Jacobian matrix, we can use it to forward model +the gravity field of our prisms on every observation point by just computing +a dot product between it and the density vector of the prisms +(:math:`\mathbf{m}`): + +.. math:: + + \mathbf{g_u} + = + \begin{bmatrix} + g_u({\mathbf{p}_1}) \\ + \vdots \\ + g_u({\mathbf{p}_N}) \\ + \end{bmatrix} + = + \begin{bmatrix} + J_{11} & \cdots & J_{1M} \\ + \vdots & \ddots & \vdots \\ + J_{N1} & \cdots & J_{NM} + \end{bmatrix} + \cdot + \begin{bmatrix} + \rho_1 \\ + \vdots \\ + \rho_M \\ + \end{bmatrix} + = + \mathbf{J} \cdot \mathbf{m} + +.. jupyter-execute:: + + # Define densities for the prisms + densities = np.array([200.0, 300.0, -100.0, 400.0]) + + # Compute result + g_u = jacobian @ densities + +.. note:: + + The ``@`` operator performs a matrix product. It's a shorthand of the + :func:`numpy.matmul` function. + +We can check that this result is right by comparing it with the output of the +``gravity_u_parallel`` function we defined in the :ref:`howtouse`: + +.. jupyter-execute:: + :hide-code: + + @numba.jit(nopython=True, parallel=True) + def gravity_upward_parallel(coordinates, prisms, densities): + """ + Compute the upward component of the acceleration of a set of prisms + """ + # Unpack coordinates of the observation points + easting, northing, upward = coordinates[:] + # Initialize a result array full of zeros + result = np.zeros_like(easting, dtype=np.float64) + # Compute the upward component that every prism generate on each + # observation point + for i in numba.prange(len(easting)): + for j in range(prisms.shape[0]): + result[i] += gravity_u( + easting[i], + northing[i], + upward[i], + prisms[j, 0], + prisms[j, 1], + prisms[j, 2], + prisms[j, 3], + prisms[j, 4], + prisms[j, 5], + densities[j], + ) + return result + +.. jupyter-execute:: + + expected = gravity_upward_parallel(coordinates, prisms, densities) + np.allclose(g_u, expected) + +---- + +.. grid:: 2 + + .. grid-item-card:: :jupyter-download-script:`Download Python script ` + :text-align: center + + .. grid-item-card:: :jupyter-download-nb:`Download Jupyter notebook ` + :text-align: center + diff --git a/v0.2.0/_sources/versions.rst b/v0.2.0/_sources/versions.rst new file mode 100644 index 00000000..9d94cccb --- /dev/null +++ b/v0.2.0/_sources/versions.rst @@ -0,0 +1,13 @@ +Documentation for other versions +-------------------------------- + +Use the links below to access documentation for specific versions +(when in doubt, use the **latest release**): + +* `Latest release `__ +* `Development `__ + (reflects the current development branch on GitHub) +* `v0.2.0 `__ +* `v0.1.0 `__ +* `v0.0.1 `__ + diff --git a/v0.2.0/_sphinx_design_static/design-style.1e8bd061cd6da7fc9cf755528e8ffc24.min.css 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100644 index 00000000..f1916ec7 --- /dev/null +++ b/v0.2.0/_static/copybutton.css @@ -0,0 +1,94 @@ +/* Copy buttons */ +button.copybtn { + position: absolute; + display: flex; + top: .3em; + right: .3em; + width: 1.7em; + height: 1.7em; + opacity: 0; + transition: opacity 0.3s, border .3s, background-color .3s; + user-select: none; + padding: 0; + border: none; + outline: none; + border-radius: 0.4em; + /* The colors that GitHub uses */ + border: #1b1f2426 1px solid; + background-color: #f6f8fa; + color: #57606a; +} + +button.copybtn.success { + border-color: #22863a; + color: #22863a; +} + +button.copybtn svg { + stroke: currentColor; + width: 1.5em; + height: 1.5em; + padding: 0.1em; +} + +div.highlight { + position: relative; +} + +/* Show the copybutton */ +.highlight:hover button.copybtn, button.copybtn.success { + opacity: 1; +} + +.highlight button.copybtn:hover { + background-color: rgb(235, 235, 235); +} + +.highlight button.copybtn:active { + background-color: rgb(187, 187, 187); +} + +/** + * A minimal CSS-only tooltip copied from: + * https://codepen.io/mildrenben/pen/rVBrpK + * + * To use, write HTML like the following: + * + *

Short

+ */ + .o-tooltip--left { + position: relative; + } + + .o-tooltip--left:after { + opacity: 0; + visibility: hidden; + position: absolute; + content: attr(data-tooltip); + padding: .2em; + font-size: .8em; + left: -.2em; + background: grey; + color: white; + white-space: nowrap; + z-index: 2; + border-radius: 2px; + transform: translateX(-102%) translateY(0); + transition: opacity 0.2s cubic-bezier(0.64, 0.09, 0.08, 1), transform 0.2s cubic-bezier(0.64, 0.09, 0.08, 1); +} + +.o-tooltip--left:hover:after { + display: block; + opacity: 1; + visibility: visible; + transform: translateX(-100%) translateY(0); + transition: opacity 0.2s cubic-bezier(0.64, 0.09, 0.08, 1), transform 0.2s cubic-bezier(0.64, 0.09, 0.08, 1); + transition-delay: .5s; +} + +/* By default the copy button shouldn't show up when printing a page */ +@media print { + button.copybtn { + display: none; + } +} diff --git a/v0.2.0/_static/copybutton.js b/v0.2.0/_static/copybutton.js new file mode 100644 index 00000000..2ea7ff3e --- /dev/null +++ b/v0.2.0/_static/copybutton.js @@ -0,0 +1,248 @@ +// Localization support +const messages = { + 'en': { + 'copy': 'Copy', + 'copy_to_clipboard': 'Copy to clipboard', + 'copy_success': 'Copied!', + 'copy_failure': 'Failed to copy', + }, + 'es' : { + 'copy': 'Copiar', + 'copy_to_clipboard': 'Copiar al portapapeles', + 'copy_success': '¡Copiado!', + 'copy_failure': 'Error al copiar', + }, + 'de' : { + 'copy': 'Kopieren', + 'copy_to_clipboard': 'In die Zwischenablage kopieren', + 'copy_success': 'Kopiert!', + 'copy_failure': 'Fehler beim Kopieren', + }, + 'fr' : { + 'copy': 'Copier', + 'copy_to_clipboard': 'Copier dans le presse-papier', + 'copy_success': 'Copié !', + 'copy_failure': 'Échec de la copie', + }, + 'ru': { + 'copy': 'Скопировать', + 'copy_to_clipboard': 'Скопировать в буфер', + 'copy_success': 'Скопировано!', + 'copy_failure': 'Не удалось скопировать', + }, + 'zh-CN': { + 'copy': '复制', + 'copy_to_clipboard': '复制到剪贴板', + 'copy_success': '复制成功!', + 'copy_failure': '复制失败', + }, + 'it' : { + 'copy': 'Copiare', + 'copy_to_clipboard': 'Copiato negli appunti', + 'copy_success': 'Copiato!', + 'copy_failure': 'Errore durante la copia', + } +} + +let locale = 'en' +if( document.documentElement.lang !== undefined + && messages[document.documentElement.lang] !== undefined ) { + locale = document.documentElement.lang +} + +let doc_url_root = DOCUMENTATION_OPTIONS.URL_ROOT; +if (doc_url_root == '#') { + doc_url_root = ''; +} + +/** + * SVG files for our copy buttons + */ +let iconCheck = ` + ${messages[locale]['copy_success']} + + +` + +// If the user specified their own SVG use that, otherwise use the default +let iconCopy = ``; +if (!iconCopy) { + iconCopy = ` + ${messages[locale]['copy_to_clipboard']} + + + +` +} + +/** + * Set up copy/paste for code blocks + */ + +const runWhenDOMLoaded = cb => { + if (document.readyState != 'loading') { + cb() + } else if (document.addEventListener) { + document.addEventListener('DOMContentLoaded', cb) + } else { + document.attachEvent('onreadystatechange', function() { + if (document.readyState == 'complete') cb() + }) + } +} + +const codeCellId = index => `codecell${index}` + +// Clears selected text since ClipboardJS will select the text when copying +const clearSelection = () => { + if (window.getSelection) { + window.getSelection().removeAllRanges() + } else if (document.selection) { + document.selection.empty() + } +} + +// Changes tooltip text for a moment, then changes it back +// We want the timeout of our `success` class to be a bit shorter than the +// tooltip and icon change, so that we can hide the icon before changing back. +var timeoutIcon = 2000; +var timeoutSuccessClass = 1500; + +const temporarilyChangeTooltip = (el, oldText, newText) => { + el.setAttribute('data-tooltip', newText) + el.classList.add('success') + // Remove success a little bit sooner than we change the tooltip + // So that we can use CSS to hide the copybutton first + setTimeout(() => el.classList.remove('success'), timeoutSuccessClass) + setTimeout(() => el.setAttribute('data-tooltip', oldText), timeoutIcon) +} + +// Changes the copy button icon for two seconds, then changes it back +const temporarilyChangeIcon = (el) => { + el.innerHTML = iconCheck; + setTimeout(() => {el.innerHTML = iconCopy}, timeoutIcon) +} + +const addCopyButtonToCodeCells = () => { + // If ClipboardJS hasn't loaded, wait a bit and try again. This + // happens because we load ClipboardJS asynchronously. + if (window.ClipboardJS === undefined) { + setTimeout(addCopyButtonToCodeCells, 250) + return + } + + // Add copybuttons to all of our code cells + const COPYBUTTON_SELECTOR = 'div.highlight pre'; + const codeCells = document.querySelectorAll(COPYBUTTON_SELECTOR) + codeCells.forEach((codeCell, index) => { + const id = codeCellId(index) + codeCell.setAttribute('id', id) + + const clipboardButton = id => + `` + codeCell.insertAdjacentHTML('afterend', clipboardButton(id)) + }) + +function escapeRegExp(string) { + return string.replace(/[.*+?^${}()|[\]\\]/g, '\\$&'); // $& means the whole matched string +} + +/** + * Removes excluded text from a Node. + * + * @param {Node} target Node to filter. + * @param {string} exclude CSS selector of nodes to exclude. + * @returns {DOMString} Text from `target` with text removed. + */ +function filterText(target, exclude) { + const clone = target.cloneNode(true); // clone as to not modify the live DOM + if (exclude) { + // remove excluded nodes + clone.querySelectorAll(exclude).forEach(node => node.remove()); + } + return clone.innerText; +} + +// Callback when a copy button is clicked. Will be passed the node that was clicked +// should then grab the text and replace pieces of text that shouldn't be used in output +function formatCopyText(textContent, copybuttonPromptText, isRegexp = false, onlyCopyPromptLines = true, removePrompts = true, copyEmptyLines = true, lineContinuationChar = "", hereDocDelim = "") { + var regexp; + var match; + + // Do we check for line continuation characters and "HERE-documents"? + var useLineCont = !!lineContinuationChar + var useHereDoc = !!hereDocDelim + + // create regexp to capture prompt and remaining line + if (isRegexp) { + regexp = new RegExp('^(' + copybuttonPromptText + ')(.*)') + } else { + regexp = new RegExp('^(' + escapeRegExp(copybuttonPromptText) + ')(.*)') + } + + const outputLines = []; + var promptFound = false; + var gotLineCont = false; + var gotHereDoc = false; + const lineGotPrompt = []; + for (const line of textContent.split('\n')) { + match = line.match(regexp) + if (match || gotLineCont || gotHereDoc) { + promptFound = regexp.test(line) + lineGotPrompt.push(promptFound) + if (removePrompts && promptFound) { + outputLines.push(match[2]) + } else { + outputLines.push(line) + } + gotLineCont = line.endsWith(lineContinuationChar) & useLineCont + if (line.includes(hereDocDelim) & useHereDoc) + gotHereDoc = !gotHereDoc + } else if (!onlyCopyPromptLines) { + outputLines.push(line) + } else if (copyEmptyLines && line.trim() === '') { + outputLines.push(line) + } + } + + // If no lines with the prompt were found then just use original lines + if (lineGotPrompt.some(v => v === true)) { + textContent = outputLines.join('\n'); + } + + // Remove a trailing newline to avoid auto-running when pasting + if (textContent.endsWith("\n")) { + textContent = textContent.slice(0, -1) + } + return textContent +} + + +var copyTargetText = (trigger) => { + var target = document.querySelector(trigger.attributes['data-clipboard-target'].value); + + // get filtered text + let exclude = '.linenos'; + + let text = filterText(target, exclude); + return formatCopyText(text, '', false, true, true, true, '', '') +} + + // Initialize with a callback so we can modify the text before copy + const clipboard = new ClipboardJS('.copybtn', {text: copyTargetText}) + + // Update UI with error/success messages + clipboard.on('success', event => { + clearSelection() + temporarilyChangeTooltip(event.trigger, messages[locale]['copy'], messages[locale]['copy_success']) + temporarilyChangeIcon(event.trigger) + }) + + clipboard.on('error', event => { + temporarilyChangeTooltip(event.trigger, messages[locale]['copy'], messages[locale]['copy_failure']) + }) +} + +runWhenDOMLoaded(addCopyButtonToCodeCells) \ No newline at end of file diff --git a/v0.2.0/_static/copybutton_funcs.js b/v0.2.0/_static/copybutton_funcs.js new file mode 100644 index 00000000..dbe1aaad --- /dev/null +++ b/v0.2.0/_static/copybutton_funcs.js @@ -0,0 +1,73 @@ +function escapeRegExp(string) { + return string.replace(/[.*+?^${}()|[\]\\]/g, '\\$&'); // $& means the whole matched string +} + +/** + * Removes excluded text from a Node. + * + * @param {Node} target Node to filter. + * @param {string} exclude CSS selector of nodes to exclude. + * @returns {DOMString} Text from `target` with text removed. + */ +export function filterText(target, exclude) { + const clone = target.cloneNode(true); // clone as to not modify the live DOM + if (exclude) { + // remove excluded nodes + clone.querySelectorAll(exclude).forEach(node => node.remove()); + } + return clone.innerText; +} + +// Callback when a copy button is clicked. Will be passed the node that was clicked +// should then grab the text and replace pieces of text that shouldn't be used in output +export function formatCopyText(textContent, copybuttonPromptText, isRegexp = false, onlyCopyPromptLines = true, removePrompts = true, copyEmptyLines = true, lineContinuationChar = "", hereDocDelim = "") { + var regexp; + var match; + + // Do we check for line continuation characters and "HERE-documents"? + var useLineCont = !!lineContinuationChar + var useHereDoc = !!hereDocDelim + + // create regexp to capture prompt and remaining line + if (isRegexp) { + regexp = new RegExp('^(' + copybuttonPromptText + ')(.*)') + } else { + regexp = new RegExp('^(' + escapeRegExp(copybuttonPromptText) + ')(.*)') + } + + const outputLines = []; + var promptFound = false; + var gotLineCont = false; + var gotHereDoc = false; + const lineGotPrompt = []; + for (const line of textContent.split('\n')) { + match = line.match(regexp) + if (match || gotLineCont || gotHereDoc) { + promptFound = regexp.test(line) + lineGotPrompt.push(promptFound) + if (removePrompts && promptFound) { + outputLines.push(match[2]) + } else { + outputLines.push(line) + } + gotLineCont = line.endsWith(lineContinuationChar) & useLineCont + if (line.includes(hereDocDelim) & useHereDoc) + gotHereDoc = !gotHereDoc + } else if (!onlyCopyPromptLines) { + outputLines.push(line) + } else if (copyEmptyLines && line.trim() === '') { + outputLines.push(line) + } + } + + // If no lines with the prompt were found then just use original lines + if (lineGotPrompt.some(v => v === true)) { + textContent = outputLines.join('\n'); + } + + // Remove a trailing newline to avoid auto-running when pasting + if (textContent.endsWith("\n")) { + textContent = textContent.slice(0, -1) + } + return textContent +} diff --git a/v0.2.0/_static/custom.css b/v0.2.0/_static/custom.css new file mode 100644 index 00000000..ebfd14f5 --- /dev/null +++ b/v0.2.0/_static/custom.css @@ -0,0 +1,34 @@ +span.project-version { + color: #999999; + font-size: 0.8em; + font-weight: 600; + margin-left: 5px; +} + +.lead { + font-size: 1.5rem; +} + +.front-page-callout { + margin-bottom: 4rem; +} + +/* Try to make the jupyter-sphinx style match sphinx-gallery for consistency */ +div.jupyter_container { + border: none; + box-shadow: none; +} + +div.jupyter_container .cell_input { + margin-bottom: 1.15rem; + border-radius: 0.4em; + box-shadow: 1px 1px 1px #d8d8d8; +} + +div.jupyter_container .cell_output { + margin-bottom: 1.15rem; +} + +.jupyter_container div.code_cell pre { + padding: 10px; +} diff --git a/v0.2.0/_static/design-style.1e8bd061cd6da7fc9cf755528e8ffc24.min.css b/v0.2.0/_static/design-style.1e8bd061cd6da7fc9cf755528e8ffc24.min.css new file mode 100644 index 00000000..eb19f698 --- /dev/null +++ b/v0.2.0/_static/design-style.1e8bd061cd6da7fc9cf755528e8ffc24.min.css @@ -0,0 +1 @@ +.sd-bg-primary{background-color:var(--sd-color-primary) !important}.sd-bg-text-primary{color:var(--sd-color-primary-text) 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+ window.localStorage.setItem("sphinx-design-last-tab", syncId); +} + +document.addEventListener("DOMContentLoaded", ready, false); diff --git a/v0.2.0/_static/doctools.js b/v0.2.0/_static/doctools.js new file mode 100644 index 00000000..d06a71d7 --- /dev/null +++ b/v0.2.0/_static/doctools.js @@ -0,0 +1,156 @@ +/* + * doctools.js + * ~~~~~~~~~~~ + * + * Base JavaScript utilities for all Sphinx HTML documentation. + * + * :copyright: Copyright 2007-2023 by the Sphinx team, see AUTHORS. + * :license: BSD, see LICENSE for details. + * + */ +"use strict"; + +const BLACKLISTED_KEY_CONTROL_ELEMENTS = new Set([ + "TEXTAREA", + "INPUT", + "SELECT", + "BUTTON", +]); + +const _ready = (callback) => { + if (document.readyState !== "loading") { + callback(); + } else { + document.addEventListener("DOMContentLoaded", callback); + } +}; + +/** + * Small JavaScript module for the documentation. + */ +const Documentation = { + init: () => { + Documentation.initDomainIndexTable(); + Documentation.initOnKeyListeners(); + }, + + /** + * i18n support + */ + TRANSLATIONS: {}, + PLURAL_EXPR: (n) => (n === 1 ? 0 : 1), + LOCALE: "unknown", + + // gettext and ngettext don't access this so that the functions + // can safely bound to a different name (_ = Documentation.gettext) + gettext: (string) => { + const translated = Documentation.TRANSLATIONS[string]; + switch (typeof translated) { + case "undefined": + return string; // no translation + case "string": + return translated; // translation exists + default: + return translated[0]; // (singular, plural) translation tuple exists + } + }, + + ngettext: (singular, plural, n) => { + const translated = Documentation.TRANSLATIONS[singular]; + if (typeof translated !== "undefined") + return translated[Documentation.PLURAL_EXPR(n)]; + return n === 1 ? singular : plural; + }, + + addTranslations: (catalog) => { + Object.assign(Documentation.TRANSLATIONS, catalog.messages); + Documentation.PLURAL_EXPR = new Function( + "n", + `return (${catalog.plural_expr})` + ); + Documentation.LOCALE = catalog.locale; + }, + + /** + * helper function to focus on search bar + */ + focusSearchBar: () => { + document.querySelectorAll("input[name=q]")[0]?.focus(); + }, + + /** + * Initialise the domain index toggle buttons + */ + initDomainIndexTable: () => { + const toggler = (el) => { + const idNumber = el.id.substr(7); + const toggledRows = document.querySelectorAll(`tr.cg-${idNumber}`); + if (el.src.substr(-9) === "minus.png") { + el.src = `${el.src.substr(0, el.src.length - 9)}plus.png`; + toggledRows.forEach((el) => (el.style.display = "none")); + } else { + el.src = `${el.src.substr(0, el.src.length - 8)}minus.png`; + toggledRows.forEach((el) => (el.style.display = "")); + } + }; + + const togglerElements = document.querySelectorAll("img.toggler"); + togglerElements.forEach((el) => + el.addEventListener("click", (event) => toggler(event.currentTarget)) + ); + togglerElements.forEach((el) => (el.style.display = "")); + if (DOCUMENTATION_OPTIONS.COLLAPSE_INDEX) togglerElements.forEach(toggler); + }, + + initOnKeyListeners: () => { + // only install a listener if it is really needed + if ( + !DOCUMENTATION_OPTIONS.NAVIGATION_WITH_KEYS && + !DOCUMENTATION_OPTIONS.ENABLE_SEARCH_SHORTCUTS + ) + return; + + document.addEventListener("keydown", (event) => { + // bail for input elements + if (BLACKLISTED_KEY_CONTROL_ELEMENTS.has(document.activeElement.tagName)) return; + // bail with special keys + if (event.altKey || event.ctrlKey || event.metaKey) return; + + if (!event.shiftKey) { + switch (event.key) { + case "ArrowLeft": + if (!DOCUMENTATION_OPTIONS.NAVIGATION_WITH_KEYS) break; + + const prevLink = document.querySelector('link[rel="prev"]'); + if (prevLink && prevLink.href) { + window.location.href = prevLink.href; + event.preventDefault(); + } + break; + case "ArrowRight": + if (!DOCUMENTATION_OPTIONS.NAVIGATION_WITH_KEYS) break; + + const nextLink = document.querySelector('link[rel="next"]'); + if (nextLink && nextLink.href) { + window.location.href = nextLink.href; + event.preventDefault(); + } + break; + } + } + + // some keyboard layouts may need Shift to get / + switch (event.key) { + case "/": + if (!DOCUMENTATION_OPTIONS.ENABLE_SEARCH_SHORTCUTS) break; + Documentation.focusSearchBar(); + event.preventDefault(); + } + }); + }, +}; + +// quick alias for translations +const _ = Documentation.gettext; + +_ready(Documentation.init); diff --git a/v0.2.0/_static/documentation_options.js b/v0.2.0/_static/documentation_options.js new file mode 100644 index 00000000..dab586c0 --- /dev/null +++ b/v0.2.0/_static/documentation_options.js @@ -0,0 +1,13 @@ +const DOCUMENTATION_OPTIONS = { + VERSION: '', + LANGUAGE: 'en', + COLLAPSE_INDEX: false, + BUILDER: 'html', + FILE_SUFFIX: '.html', + LINK_SUFFIX: '.html', + HAS_SOURCE: true, + SOURCELINK_SUFFIX: '', + NAVIGATION_WITH_KEYS: false, + SHOW_SEARCH_SUMMARY: true, + ENABLE_SEARCH_SHORTCUTS: true, +}; \ No newline at end of file diff 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not displayed, then there is not a jupyter_container, and +the output is provided without CSS. + +This stylesheet attempts to override the defaults of all packaged Sphinx themes +to display jupter-sphinx cells in a Jupyter-like style. + +If you want to adjust the styles, add additional custom CSS to override these +styles. + +After a build, this stylesheet is loaded from ./_static/jupyter-sphinx.css . + +*/ + + +div.jupyter_container { + padding: .4em; + margin: 0 0 .4em 0; + background-color: #FFFF; + border: 1px solid #CCC; + -moz-box-shadow: 2px 2px 4px rgba(87, 87, 87, 0.2); + -webkit-box-shadow: 2px 2px 4px rgba(87, 87, 87, 0.2); + box-shadow: 2px 2px 4px rgba(87, 87, 87, 0.2); +} +.jupyter_container div.code_cell { + border: 1px solid #cfcfcf; + border-radius: 2px; + background-color: #f7f7f7; + margin: 0 0; + overflow: auto; +} + +.jupyter_container div.code_cell pre { + padding: 4px; + margin: 0 0; + background-color: #f7f7f7; + border: none; + background: none; + box-shadow: none; + -webkit-box-shadow: none; /* for nature */ + -moz-box-shadow: none; /* for nature */ +} + +.jupyter_container div.code_cell * { + margin: 0 0; +} +div.jupyter_container div.highlight { + background-color: #f7f7f7; /* for haiku */ +} +div.jupyter_container { + padding: 0; + margin: 0; +} + +/* Prevent alabaster breaking highlight alignment */ +div.jupyter_container .hll { + padding: 0; + margin: 0; +} + +/* overrides for sphinx_rtd_theme */ +.rst-content .jupyter_container div[class^='highlight'], +.document .jupyter_container div[class^='highlight'], +.rst-content .jupyter_container pre.literal-block { + border:none; + margin: 0; + padding: 0; + background: none; + padding: 3px; + background-color: transparent; +} +/* restore Mathjax CSS, as it assumes a vertical margin. */ +.jupyter_container .MathJax_Display { + margin: 1em 0em; + text-align: center; +} +.jupyter_container .stderr { + background-color: #FCC; + border: none; + padding: 3px; +} +.jupyter_container .output { + border: none; +} +.jupyter_container div.output pre { + background-color: white; + background: none; + padding: 4px; + border: none; + box-shadow: none; + -webkit-box-shadow: none; /* for nature */ + -moz-box-shadow: none; /* for nature */ +} +.jupyter_container .code_cell td.linenos { + text-align: right; + padding: 4px 4px 4px 8px; + border-right: 1px solid #cfcfcf; + color: #999; +} +.jupyter_container .output .highlight { + background-color: #ffffff; +} +/* combine sequential jupyter cells, + by moving sequential ones up higher on y-axis */ +div.jupyter_container + div.jupyter_container { + margin: -.5em 0 .4em 0; +} + +/* Fix for sphinx_rtd_theme spacing after jupyter_container #91 */ +.rst-content .jupyter_container { + margin: 0 0 24px 0; +} diff --git a/v0.2.0/_static/language_data.js b/v0.2.0/_static/language_data.js new file mode 100644 index 00000000..250f5665 --- /dev/null +++ b/v0.2.0/_static/language_data.js @@ -0,0 +1,199 @@ +/* + * language_data.js + * ~~~~~~~~~~~~~~~~ + * + * This script contains the language-specific data used by searchtools.js, + * namely the list of stopwords, stemmer, scorer and splitter. + * + * :copyright: Copyright 2007-2023 by the Sphinx team, see AUTHORS. + * :license: BSD, see LICENSE for details. + * + */ + +var stopwords = ["a", "and", "are", "as", "at", "be", "but", "by", "for", "if", "in", "into", "is", "it", "near", "no", "not", "of", "on", "or", "such", "that", "the", "their", "then", "there", "these", "they", "this", "to", "was", "will", "with"]; + + +/* Non-minified version is copied as a separate JS file, is available */ + +/** + * Porter Stemmer + */ +var Stemmer = function() { + + var step2list = { + ational: 'ate', + tional: 'tion', + enci: 'ence', + anci: 'ance', + izer: 'ize', + bli: 'ble', + alli: 'al', + entli: 'ent', + eli: 'e', + ousli: 'ous', + ization: 'ize', + ation: 'ate', + ator: 'ate', + alism: 'al', + iveness: 'ive', + fulness: 'ful', + ousness: 'ous', + aliti: 'al', + iviti: 'ive', + biliti: 'ble', + logi: 'log' + }; + + var step3list = { + icate: 'ic', + ative: '', + alize: 'al', + iciti: 'ic', + ical: 'ic', + ful: '', + ness: '' + }; + + var c = "[^aeiou]"; // consonant + var v = "[aeiouy]"; // vowel + var C = c + "[^aeiouy]*"; // consonant sequence + var V = v + "[aeiou]*"; // vowel sequence + + var mgr0 = "^(" + C + ")?" + V + C; // [C]VC... is m>0 + var meq1 = "^(" + C + ")?" + V + C + "(" + V + ")?$"; // [C]VC[V] is m=1 + var mgr1 = "^(" + C + ")?" + V + C + V + C; // [C]VCVC... is m>1 + var s_v = "^(" + C + ")?" + v; // vowel in stem + + this.stemWord = function (w) { + var stem; + var suffix; + var firstch; + var origword = w; + + if (w.length < 3) + return w; + + var re; + var re2; + var re3; + var re4; + + firstch = w.substr(0,1); + if (firstch == "y") + w = firstch.toUpperCase() + w.substr(1); + + // Step 1a + re = /^(.+?)(ss|i)es$/; + re2 = /^(.+?)([^s])s$/; + + if (re.test(w)) + w = w.replace(re,"$1$2"); + else if (re2.test(w)) + w = w.replace(re2,"$1$2"); + + // Step 1b + re = /^(.+?)eed$/; + re2 = /^(.+?)(ed|ing)$/; + if (re.test(w)) { + var fp = re.exec(w); + re = new RegExp(mgr0); + if (re.test(fp[1])) { + re = /.$/; + w = w.replace(re,""); + } + } + else if (re2.test(w)) { + var fp = re2.exec(w); + stem = fp[1]; + re2 = new RegExp(s_v); + if (re2.test(stem)) { + w = stem; + re2 = /(at|bl|iz)$/; + re3 = new RegExp("([^aeiouylsz])\\1$"); + re4 = new RegExp("^" + C + v + "[^aeiouwxy]$"); + if (re2.test(w)) + w = w + "e"; + else if (re3.test(w)) { + re = /.$/; + w = w.replace(re,""); + } + else if (re4.test(w)) + w = w + "e"; + } + } + + // Step 1c + re = /^(.+?)y$/; + if (re.test(w)) { + var fp = re.exec(w); + stem = fp[1]; + re = new RegExp(s_v); + if (re.test(stem)) + w = stem + "i"; + } + + // Step 2 + re = /^(.+?)(ational|tional|enci|anci|izer|bli|alli|entli|eli|ousli|ization|ation|ator|alism|iveness|fulness|ousness|aliti|iviti|biliti|logi)$/; + if (re.test(w)) { + var fp = re.exec(w); + stem = fp[1]; + suffix = fp[2]; + re = new RegExp(mgr0); + if (re.test(stem)) + w = stem + step2list[suffix]; + } + + // Step 3 + re = /^(.+?)(icate|ative|alize|iciti|ical|ful|ness)$/; + if (re.test(w)) { + var fp = re.exec(w); + stem = fp[1]; + suffix = fp[2]; + re = new RegExp(mgr0); + if (re.test(stem)) + w = stem + step3list[suffix]; + } + + // Step 4 + re = /^(.+?)(al|ance|ence|er|ic|able|ible|ant|ement|ment|ent|ou|ism|ate|iti|ous|ive|ize)$/; + re2 = /^(.+?)(s|t)(ion)$/; + if (re.test(w)) { + var fp = re.exec(w); + stem = fp[1]; + re = new RegExp(mgr1); + if (re.test(stem)) + w = stem; + } + else if (re2.test(w)) { + var fp = re2.exec(w); + stem = fp[1] + fp[2]; + re2 = new RegExp(mgr1); + if (re2.test(stem)) + w = stem; + } + + // Step 5 + re = /^(.+?)e$/; + if (re.test(w)) { + var fp = re.exec(w); + stem = fp[1]; + re = new RegExp(mgr1); + re2 = new RegExp(meq1); + re3 = new RegExp("^" + C + v + "[^aeiouwxy]$"); + if (re.test(stem) || (re2.test(stem) && !(re3.test(stem)))) + w = stem; + } + re = /ll$/; + re2 = new RegExp(mgr1); + if (re.test(w) && re2.test(w)) { + re = /.$/; + w = w.replace(re,""); + } + + // and turn initial Y back to y + if (firstch == "y") + w = firstch.toLowerCase() + w.substr(1); + return w; + } +} + diff --git a/v0.2.0/_static/locales/ar/LC_MESSAGES/booktheme.mo b/v0.2.0/_static/locales/ar/LC_MESSAGES/booktheme.mo new file mode 100644 index 0000000000000000000000000000000000000000..15541a6a375f93efed3f410c2f892174ba91aaa0 GIT binary patch literal 1541 zcmZvaJ!}+56vrn40$lhsA5n;v39lh z&UUPnK|(?lfROD&7suGxxK0yMQ@o*|gesy+5vu&(?mBh?qn-WTn|=G<|NZw~b#1&Y zus*}?#(shQ752{`;fA&4V5qyTPS`e-!60i}(%5{r(0^;D!zP`#V66yFspV7<>kvF5*86z5`j$ z=8ez}?gu^a8}Li;DtHLIQScsk0P*i2&-V)CK7WC%Q*07qAJ7GU4juvd{a%p0tQWim zeu4N7$oY#!{2XK-Ul-?ZLAIP{VE@?5Oee^5uV0WLc46~8yjT}6*2P}4uiOhI#i!V; zXZ>RTx%Xyl*phu;(K~`m+PV^FjkZeL1V5sYI1K7moHI9c!}v9+ja5U&{2;G|4YhWh zm^7}c{~g+Tn8?Tvl<2F47Nu9i{l>4L9=6uy?FAD0FiY3w(=eiIKTWvQbqOe&{(Wd5^qM9YH}dGcsaNzja& zq-k29Wt#nO;9At7wwrWQc-|J&abpO^Bu%@f8>dB@7kE5QPu!GiO4q{asH8bJN^P3Y zvv7uYJM=8C@P0OzYSB}gLot+ZNt#(-bAo@Zj6?Yfp?anYnoPQR?;I# z{we#%LHPn31obOfkF`-+I9KUX>gUj zW@~ literal 0 HcmV?d00001 diff --git a/v0.2.0/_static/locales/ar/LC_MESSAGES/booktheme.po b/v0.2.0/_static/locales/ar/LC_MESSAGES/booktheme.po new file mode 100644 index 00000000..edae2ec4 --- /dev/null +++ b/v0.2.0/_static/locales/ar/LC_MESSAGES/booktheme.po @@ -0,0 +1,75 @@ + +msgid "" +msgstr "" +"Project-Id-Version: Sphinx-Book-Theme\n" +"MIME-Version: 1.0\n" +"Content-Type: text/plain; charset=UTF-8\n" +"Content-Transfer-Encoding: 8bit\n" +"Language: ar\n" +"Plural-Forms: nplurals=2; plural=(n != 1);\n" + +msgid "Theme by the" +msgstr "موضوع بواسطة" + +msgid "Open an issue" +msgstr "افتح قضية" + +msgid "Contents" +msgstr "محتويات" + +msgid "Download notebook file" +msgstr "تنزيل ملف دفتر الملاحظات" + +msgid "Sphinx Book Theme" +msgstr "موضوع كتاب أبو الهول" + +msgid "Fullscreen mode" +msgstr "وضع ملء الشاشة" + +msgid "Edit this page" +msgstr "قم بتحرير هذه الصفحة" + +msgid "By" +msgstr "بواسطة" + +msgid "Copyright" +msgstr "حقوق النشر" + +msgid "Source repository" +msgstr "مستودع المصدر" + +msgid "previous page" +msgstr "الصفحة السابقة" + +msgid "next page" +msgstr "الصفحة التالية" + +msgid "Toggle navigation" +msgstr "تبديل التنقل" + +msgid "repository" +msgstr "مخزن" + +msgid "suggest edit" +msgstr "أقترح تحرير" + +msgid "open issue" +msgstr "قضية مفتوحة" + +msgid "Launch" +msgstr "إطلاق" + +msgid "Print to PDF" +msgstr "طباعة إلى PDF" + +msgid "By the" +msgstr "بواسطة" + +msgid "Last updated on" +msgstr "آخر تحديث في" + +msgid "Download source file" +msgstr "تنزيل ملف المصدر" + +msgid "Download this page" +msgstr "قم بتنزيل هذه الصفحة" diff --git a/v0.2.0/_static/locales/bg/LC_MESSAGES/booktheme.mo b/v0.2.0/_static/locales/bg/LC_MESSAGES/booktheme.mo new file mode 100644 index 0000000000000000000000000000000000000000..da95120037f8d7c52ad1f166a7682ea55ca47a01 GIT binary patch literal 1708 zcmaKqOKcQJ5QaOv0vkhkhC?jT2nh&cNkBwFYxY90B_t3AOpcMpyUpy7b@wpSL+}lZ 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00000000..1f363b9d --- /dev/null +++ b/v0.2.0/_static/locales/bg/LC_MESSAGES/booktheme.po @@ -0,0 +1,75 @@ + +msgid "" +msgstr "" +"Project-Id-Version: Sphinx-Book-Theme\n" +"MIME-Version: 1.0\n" +"Content-Type: text/plain; charset=UTF-8\n" +"Content-Transfer-Encoding: 8bit\n" +"Language: bg\n" +"Plural-Forms: nplurals=2; plural=(n != 1);\n" + +msgid "Theme by the" +msgstr "Тема от" + +msgid "Open an issue" +msgstr "Отворете проблем" + +msgid "Contents" +msgstr "Съдържание" + +msgid "Download notebook file" +msgstr "Изтеглете файла на бележника" + +msgid "Sphinx Book Theme" +msgstr "Тема на книгата Sphinx" + +msgid "Fullscreen mode" +msgstr "Режим на цял екран" + +msgid "Edit this page" +msgstr "Редактирайте тази страница" + +msgid "By" +msgstr "От" + +msgid "Copyright" +msgstr "Авторско право" + +msgid "Source repository" +msgstr "Хранилище на източника" + +msgid "previous page" +msgstr "предишна страница" + +msgid "next page" +msgstr "Следваща страница" + +msgid "Toggle navigation" +msgstr "Превключване на навигацията" + +msgid "repository" +msgstr "хранилище" + +msgid "suggest edit" +msgstr "предложи редактиране" + +msgid "open issue" +msgstr "отворен брой" + +msgid "Launch" +msgstr "Стартиране" + +msgid "Print to PDF" +msgstr "Печат в PDF" + +msgid "By the" +msgstr "По" + +msgid "Last updated on" +msgstr "Последна актуализация на" + +msgid "Download source file" +msgstr "Изтеглете изходния файл" + +msgid "Download this page" +msgstr "Изтеглете тази страница" diff --git a/v0.2.0/_static/locales/bn/LC_MESSAGES/booktheme.mo b/v0.2.0/_static/locales/bn/LC_MESSAGES/booktheme.mo new file mode 100644 index 0000000000000000000000000000000000000000..6b96639b726a2fa959a6419b6f8b7e0dfcce33ae GIT binary patch literal 1646 zcmbV~&5IOA7>8S2xE{WN>)mqrjbP_+ zD|`%n|9`+8@Gtlc{Cs5;eF=|2zkdOGUHYZ{3U0$*$xxrd?Ipj1NbvXay{#>+)sQwK zLc@BGr=Q8s@3s2pVyti%e$UVEm)Gmv@K$Kxb@iIkGQ)QH3Dc6%KAm>6q}ejje*L3r z>$oA5HgZzyAH?ybE$6p$-O1{5(WYr7xk%%tj7A!XA>+Uti*qA7X(KkWA+(Cd;*P4f 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+"Content-Transfer-Encoding: 8bit\n" +"Language: cs\n" +"Plural-Forms: nplurals=2; plural=(n != 1);\n" + +msgid "Theme by the" +msgstr "Téma od" + +msgid "Open an issue" +msgstr "Otevřete problém" + +msgid "Contents" +msgstr "Obsah" + +msgid "Download notebook file" +msgstr "Stáhnout soubor poznámkového bloku" + +msgid "Sphinx Book Theme" +msgstr "Téma knihy Sfinga" + +msgid "Fullscreen mode" +msgstr "Režim celé obrazovky" + +msgid "Edit this page" +msgstr "Upravit tuto stránku" + +msgid "By" +msgstr "Podle" + +msgid "Copyright" +msgstr "autorská práva" + +msgid "Source repository" +msgstr "Zdrojové úložiště" + +msgid "previous page" +msgstr "předchozí stránka" + +msgid "next page" +msgstr "další strana" + +msgid "Toggle navigation" +msgstr "Přepnout navigaci" + +msgid "repository" +msgstr "úložiště" + +msgid "suggest edit" +msgstr "navrhnout úpravy" + +msgid "open issue" +msgstr "otevřené číslo" + +msgid "Launch" +msgstr "Zahájení" + +msgid "Print to PDF" +msgstr "Tisk do PDF" + +msgid "By the" +msgstr "Podle" + +msgid "Last updated on" +msgstr "Naposledy aktualizováno" + +msgid "Download source file" +msgstr "Stáhněte si zdrojový soubor" + +msgid "Download this page" +msgstr "Stáhněte si tuto stránku" diff --git a/v0.2.0/_static/locales/da/LC_MESSAGES/booktheme.mo b/v0.2.0/_static/locales/da/LC_MESSAGES/booktheme.mo new file mode 100644 index 0000000000000000000000000000000000000000..f43157d70c63ff21b4385dc36cb73f5b14eb6b01 GIT binary patch literal 1304 zcmZ9KyKmG$5XKi02pkaJ&;+qGJPH$nD9}aMKoTh;K$JVu@15uDO?nzn&U>A+XM4Phfw-zKH#7 zA8uHO_6vba9LDV+coaMYo(2zt6W}@UGI$1TfTzGEa2zD?I2bB!f*j{Lcno|A9tB^6 zC&9NBKUV%PmHi!Ly?>3CQ(qR(uY!{wt8{eFL)2d+-GK0XzbJ2D#pEAm_OQa=bqv z>yEt{#_?I3XFI&O|2#v^6KxpGSKQga zB|}Q$t~G&7@Oa2KoKDgpX6$2=SrtoT1GTMPm0g|DuG`zfb!d+>q}t0|B_w8J9T57T zIag$v?>HhOdp0JqpnQ-;9;-mHv<7xzI;nV=;{#=+_P!vo=(Ir)D;H<{wy4q`3h#>~ zA!JFY1gY2+>V#-Mj+V)JM61hEKVto8pj^8@e}8uO{nYgvwW_gEYa^$+3`k%y&y+UP zvXd(3DKs9n=AzrX-#KM`ms~V!IyTlOsmt4K9cl~8BnA3fm$9lXW`$E(G-qAU*QLn^ 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+"Content-Type: text/plain; charset=UTF-8\n" +"Content-Transfer-Encoding: 8bit\n" +"Language: de\n" +"Plural-Forms: nplurals=2; plural=(n != 1);\n" + +msgid "Theme by the" +msgstr "Thema von der" + +msgid "Open an issue" +msgstr "Öffnen Sie ein Problem" + +msgid "Contents" +msgstr "Inhalt" + +msgid "Download notebook file" +msgstr "Notebook-Datei herunterladen" + +msgid "Sphinx Book Theme" +msgstr "Sphinx-Buch-Thema" + +msgid "Fullscreen mode" +msgstr "Vollbildmodus" + +msgid "Edit this page" +msgstr "Bearbeite diese Seite" + +msgid "By" +msgstr "Durch" + +msgid "Copyright" +msgstr "Urheberrechte ©" + +msgid "Source repository" +msgstr "Quell-Repository" + +msgid "previous page" +msgstr "vorherige Seite" + +msgid "next page" +msgstr "Nächste Seite" + +msgid "Toggle navigation" +msgstr "Navigation umschalten" + +msgid "repository" +msgstr "Repository" + +msgid "suggest edit" +msgstr "vorschlagen zu bearbeiten" + +msgid "open issue" +msgstr "offenes Thema" + +msgid "Launch" +msgstr "Starten" + +msgid "Print to PDF" +msgstr "In PDF drucken" + +msgid "By the" +msgstr "Bis zum" + +msgid "Last updated on" +msgstr "Zuletzt aktualisiert am" + +msgid "Download source file" +msgstr "Quelldatei herunterladen" + +msgid "Download this page" +msgstr "Laden Sie diese Seite herunter" diff --git a/v0.2.0/_static/locales/el/LC_MESSAGES/booktheme.mo b/v0.2.0/_static/locales/el/LC_MESSAGES/booktheme.mo new file mode 100644 index 0000000000000000000000000000000000000000..fca6e9355f314677f2890f5679fd79dd67a7a5a2 GIT binary patch literal 1722 zcmZ{iPiS047{Euewt4U5n=fkKPHMz8X+JKcS{dGGPw+nU_c zCZPt>L)D-XMN9P{m<`*yO}BBoS3#I}@#Mj)Cp~!cBL2SFE!h-0?96ZHoA3Yk{@Ax; zMX{b{53_$`KhIu%fP=N`L8bVq-5d|WJ#ZJ?4|l_1_!N8@J_(C(AAASyg$6zb(>@oV z`1uSz3RmGC_yc?b-t6<2zWn$8{ZAG}N=-3*|lx#m@-51&_iV@GtlX{0B;& z|G|Us0FOuETkutwLXlsEZ^B>UVYqXrQitFhQ0g-9MK}YWfvbJC;B(wFD1G=Fz66IT z_E|X6=LsnC_o4J>9*)3IptM|SkT~LFKU;E^x(64jsmIx3FH7o|CH<3LOJ5JLNx{`F zvmIQ7ax;7w(hfIYb$phePOCsWALdpYv;G 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b/v0.2.0/_static/locales/eo/LC_MESSAGES/booktheme.po new file mode 100644 index 00000000..d72a0481 --- /dev/null +++ b/v0.2.0/_static/locales/eo/LC_MESSAGES/booktheme.po @@ -0,0 +1,75 @@ + +msgid "" +msgstr "" +"Project-Id-Version: Sphinx-Book-Theme\n" +"MIME-Version: 1.0\n" +"Content-Type: text/plain; charset=UTF-8\n" +"Content-Transfer-Encoding: 8bit\n" +"Language: eo\n" +"Plural-Forms: nplurals=2; plural=(n != 1);\n" + +msgid "Theme by the" +msgstr "Temo de la" + +msgid "Open an issue" +msgstr "Malfermu numeron" + +msgid "Contents" +msgstr "Enhavo" + +msgid "Download notebook file" +msgstr "Elŝutu kajeran dosieron" + +msgid "Sphinx Book Theme" +msgstr "Sfinksa Libro-Temo" + +msgid "Fullscreen mode" +msgstr "Plenekrana reĝimo" + +msgid "Edit this page" +msgstr "Redaktu ĉi tiun paĝon" + +msgid "By" +msgstr "De" + +msgid "Copyright" +msgstr "Kopirajto" + +msgid "Source repository" +msgstr "Fonto-deponejo" + +msgid "previous page" +msgstr "antaŭa paĝo" + +msgid "next page" +msgstr "sekva paĝo" + +msgid "Toggle navigation" +msgstr "Ŝalti navigadon" + +msgid "repository" +msgstr "deponejo" + +msgid "suggest edit" +msgstr "sugesti redaktadon" + +msgid "open issue" +msgstr "malferma numero" + +msgid "Launch" +msgstr "Lanĉo" + +msgid "Print to PDF" +msgstr "Presi al PDF" + +msgid "By the" +msgstr "Per la" + +msgid "Last updated on" +msgstr "Laste ĝisdatigita la" + +msgid "Download source file" +msgstr "Elŝutu fontodosieron" + +msgid "Download this page" +msgstr "Elŝutu ĉi tiun paĝon" diff --git a/v0.2.0/_static/locales/es/LC_MESSAGES/booktheme.mo b/v0.2.0/_static/locales/es/LC_MESSAGES/booktheme.mo new file mode 100644 index 0000000000000000000000000000000000000000..ba2ee4dc22148ed53f2aeba32c5965654d4a5a2f GIT binary patch literal 1396 zcmZ9Kzi$;s5XU#z;m3pU!zKwxjKJWQQZ~wEO{|$=X8*l*5%yj3EgEC(L#m|@E3-CIKPyLHQ^!@|o{A*Bj z4$La`8F(5z16~6q{%=5u|2}vYjQ#o}@F?a_K{@|BDEE2^ehj_>C4c{bvhUD`U0&uv z*?$p~_`U+=+!`qRz6aYpfs%6BBl;4{Ji6po;@;mNp-!U9Icai#X`&;(C9e__T(%nW 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+"Content-Transfer-Encoding: 8bit\n" +"Language: es\n" +"Plural-Forms: nplurals=2; plural=(n != 1);\n" + +msgid "Theme by the" +msgstr "Tema por el" + +msgid "Open an issue" +msgstr "Abrir un problema" + +msgid "Contents" +msgstr "Contenido" + +msgid "Download notebook file" +msgstr "Descargar archivo de cuaderno" + +msgid "Sphinx Book Theme" +msgstr "Tema del libro de la esfinge" + +msgid "Fullscreen mode" +msgstr "Modo de pantalla completa" + +msgid "Edit this page" +msgstr "Edita esta página" + +msgid "By" +msgstr "Por" + +msgid "Copyright" +msgstr "Derechos de autor" + +msgid "Source repository" +msgstr "Repositorio de origen" + +msgid "previous page" +msgstr "pagina anterior" + +msgid "next page" +msgstr "siguiente página" + +msgid "Toggle navigation" +msgstr "Navegación de palanca" + +msgid "repository" +msgstr "repositorio" + +msgid "suggest edit" +msgstr "sugerir editar" + +msgid "open issue" +msgstr "Tema abierto" + +msgid "Launch" +msgstr "Lanzamiento" + +msgid "Print to PDF" +msgstr "Imprimir en PDF" + +msgid "By the" +msgstr "Por el" + +msgid "Last updated on" +msgstr "Ultima actualización en" + +msgid "Download source file" +msgstr "Descargar archivo fuente" + +msgid "Download this page" +msgstr "Descarga esta pagina" diff --git a/v0.2.0/_static/locales/et/LC_MESSAGES/booktheme.mo b/v0.2.0/_static/locales/et/LC_MESSAGES/booktheme.mo new file mode 100644 index 0000000000000000000000000000000000000000..983b82391f499b67a9046c15d0dd8744650ad925 GIT binary patch literal 1341 zcmZ9Kzi%8x6vqb=^5gOYNC*@$VrY^ev%C-5~0q6cNoSQvQHcDIz*5N(ux8-*>yj7Nec{?37 zm@hCt!hG}w7K~$WDuqWK$8rQb2_6H_g2%xn@O|(C_#QX{&wyWnr$GYW22;<6py+%D zo&tXWPl7*z?}ESdeBSTB?Csw{@%I-v01qANzCR6$y#$KRMeqsu1$Y$v1AGho6Fdz5 z4az++J_JsIlKZFNIq(K3aoh#Zg45o90E(Y)LCNb!P;`Fo`2>{wpMm1IA0b zcW{Vb>7mpIdO`vjME%rCbb#Z zLB#9Ln`>&T^B1V~k&_R*YOAf;-PhM8wsB1jsl}?dyPU?psw`<|W?Y%XaN_8G>Z0@F zr*qN&8_XbscI- zgH4-*vBjDXO&n_1F3dRkd|7v|qf1VIJknP`Sstj{^T%OktXj#ancCu*yH}n+<|;=N 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"Fullscreen mode" +msgstr "Täisekraanirežiim" + +msgid "Edit this page" +msgstr "Muutke seda lehte" + +msgid "By" +msgstr "Kõrval" + +msgid "Copyright" +msgstr "Autoriõigus" + +msgid "Source repository" +msgstr "Allikahoidla" + +msgid "previous page" +msgstr "eelmine leht" + +msgid "next page" +msgstr "järgmine leht" + +msgid "Toggle navigation" +msgstr "Lülita navigeerimine sisse" + +msgid "repository" +msgstr "hoidla" + +msgid "suggest edit" +msgstr "soovita muuta" + +msgid "open issue" +msgstr "avatud küsimus" + +msgid "Launch" +msgstr "Käivitage" + +msgid "Print to PDF" +msgstr "Prindi PDF-i" + +msgid "By the" +msgstr "Autor" + +msgid "Last updated on" +msgstr "Viimati uuendatud" + +msgid "Download source file" +msgstr "Laadige alla lähtefail" + +msgid "Download this page" +msgstr "Laadige see leht alla" diff --git a/v0.2.0/_static/locales/fi/LC_MESSAGES/booktheme.mo b/v0.2.0/_static/locales/fi/LC_MESSAGES/booktheme.mo new file mode 100644 index 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Sphinx-Book-Theme\n" +"MIME-Version: 1.0\n" +"Content-Type: text/plain; charset=UTF-8\n" +"Content-Transfer-Encoding: 8bit\n" +"Language: fi\n" +"Plural-Forms: nplurals=2; plural=(n != 1);\n" + +msgid "Theme by the" +msgstr "Teeman tekijä" + +msgid "Open an issue" +msgstr "Avaa ongelma" + +msgid "Contents" +msgstr "Sisällys" + +msgid "Download notebook file" +msgstr "Lataa muistikirjatiedosto" + +msgid "Sphinx Book Theme" +msgstr "Sphinx-kirjan teema" + +msgid "Fullscreen mode" +msgstr "Koko näytön tila" + +msgid "Edit this page" +msgstr "Muokkaa tätä sivua" + +msgid "By" +msgstr "Tekijä" + +msgid "Copyright" +msgstr "Tekijänoikeus" + +msgid "Source repository" +msgstr "Lähteen arkisto" + +msgid "previous page" +msgstr "Edellinen sivu" + +msgid "next page" +msgstr "seuraava sivu" + +msgid "Toggle navigation" +msgstr "Vaihda navigointia" + +msgid "repository" +msgstr "arkisto" + +msgid "suggest edit" +msgstr "ehdottaa muokkausta" + +msgid "open issue" +msgstr "avoin ongelma" + +msgid "Launch" +msgstr "Tuoda markkinoille" + +msgid "Print to PDF" +msgstr "Tulosta PDF-tiedostoon" + +msgid "By the" +msgstr "Mukaan" + +msgid "Last updated on" +msgstr "Viimeksi päivitetty" + +msgid "Download source file" +msgstr "Lataa lähdetiedosto" + +msgid "Download this page" +msgstr "Lataa tämä sivu" diff --git a/v0.2.0/_static/locales/fr/LC_MESSAGES/booktheme.mo b/v0.2.0/_static/locales/fr/LC_MESSAGES/booktheme.mo new file mode 100644 index 0000000000000000000000000000000000000000..f663d39f0faa76c5b9bd504c51252eef74cca5de GIT binary patch literal 1412 zcmZ{jJ!}+56vv0pm9t{vhm&8^IIO`h6wqyy*798~B-FLeKdo!!~aIl*+ zlr)i&DosjGX-Sm+nxs!ffzqWyh>mpmzuUEJBQe_9-_FOq|NFX^vnPL27*{aoG5^N= z4D;zRyf9{tD}_g$!Rs`57MuYuf@i>a@G^KEoCEvdEO-|@2Qqjbj4hvlV&_NjBk*VN zEI0-~27hn)XS@HRUH=P;-hW^RJaMA={W(z9^Pt$d0saAg1L9Gy@DjZ@;0NGaQ2bFR zmAVF8043f<@DuPZcoBRAia+0jpMpPtqW^1q{u?N9{{>2%|FrAZpu~0hRC7KD%K8iN 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TA2+cw{Vw>h7Yg+MtLz81? literal 0 HcmV?d00001 diff --git a/v0.2.0/_static/locales/fr/LC_MESSAGES/booktheme.po b/v0.2.0/_static/locales/fr/LC_MESSAGES/booktheme.po new file mode 100644 index 00000000..88f35173 --- /dev/null +++ b/v0.2.0/_static/locales/fr/LC_MESSAGES/booktheme.po @@ -0,0 +1,75 @@ + +msgid "" +msgstr "" +"Project-Id-Version: Sphinx-Book-Theme\n" +"MIME-Version: 1.0\n" +"Content-Type: text/plain; charset=UTF-8\n" +"Content-Transfer-Encoding: 8bit\n" +"Language: fr\n" +"Plural-Forms: nplurals=2; plural=(n != 1);\n" + +msgid "Theme by the" +msgstr "Thème par le" + +msgid "Open an issue" +msgstr "Ouvrez un problème" + +msgid "Contents" +msgstr "Contenu" + +msgid "Download notebook file" +msgstr "Télécharger le fichier notebook" + +msgid "Sphinx Book Theme" +msgstr "Thème du livre Sphinx" + +msgid "Fullscreen mode" +msgstr "Mode plein écran" + +msgid "Edit this page" +msgstr "Modifier cette page" + +msgid "By" +msgstr "Par" + +msgid "Copyright" +msgstr "droits d'auteur" + +msgid "Source repository" +msgstr "Dépôt source" + +msgid "previous page" +msgstr "page précédente" + +msgid "next page" +msgstr "page suivante" + +msgid "Toggle navigation" +msgstr "Basculer la navigation" + +msgid "repository" +msgstr "dépôt" + +msgid "suggest edit" +msgstr "suggestion de modification" + +msgid "open issue" +msgstr "signaler un problème" + +msgid "Launch" +msgstr "lancement" + +msgid "Print to PDF" +msgstr "Imprimer au format PDF" + +msgid "By the" +msgstr "Par le" + +msgid "Last updated on" +msgstr "Dernière mise à jour le" + +msgid "Download source file" +msgstr "Télécharger le fichier source" + +msgid "Download this page" +msgstr "Téléchargez cette page" diff --git a/v0.2.0/_static/locales/hr/LC_MESSAGES/booktheme.mo b/v0.2.0/_static/locales/hr/LC_MESSAGES/booktheme.mo new file mode 100644 index 0000000000000000000000000000000000000000..eca4a1a2842830f06bd5f6235bf01d07bdd313d2 GIT binary patch literal 1402 zcmZ9KJ!~9B6vu}+kmLvh)-Bbu!YZ&sL*)#Wq0oOW>)iY z#I7UJKoJQlD$3MIh{}~uqNJdrprN2bqC$d-|Jz;1r;K*?xAU?8_kVBZ_tmrCDzsP8 z*U*1Oe;xg+XYfKhe?}=h>H=QRffvE^;1%!!xCXugz6HJv4#8FMQ}7bV;EQ1F_z)DG zZ@?G8@4$=TWAG*L$BsXD^S^cDKS7E2FW3WDR@(nBfihkLMdxksC-6Fmt?DmO{`(sg z-~WN)YvpX4?<)8j#_OQu@i8cQeBP}`P-^oC6rIQ5W$*{^dGHvNe1GZqM>qcuD0MvZ zY`gv@DF5B)#v@RCe+FI!b5KeyIf$NkxPmU8B<^y9bfYDCNE01tQa`D+)KxSg*?1KH z%T4MpwK#{4ax`^Pw+`@7ELnZzY-Ae)KI#K+iZZI(?h9Kvos)Hu_nn*4eN*x2ba2UM z{M2MDO`uvAtTuBKA$>9&rK$>r--+ODxdTQVUeRy*EU zh&bB0JyN@EJkPZYCOUthcI(pE2XsrkjZ2=fYTmTp<}`LiQ88IPH-(M{K`cLrtve@i z+90*(xpAqpy(Aw}Q7~LGGJzF0;VkyI^8P*c0crzk0e zJ5}W`eCg#p>R8HV8p8`ORd-?8+@kgmPE(NjB4ZRZpsbXo1{+%JywM17c0!7$ZS zdp+04j?>}H5RL>u+?)6`B(!QC;nQ(E%YYHwOi5)9EgF2Tundr{ymsm2Z;f2mKh k(#nYgw(f}olqHrfw@Z7L48TfWxy6y8Q4`jSBkXa^hFIaGO(a}_Drr&ngPIpyPhwkKtCW1zS zxtWoenhB;xBBn-yn24D8zwTalu&Ao9Uv<5s{`Yli#|wdR9BT&a6V_?0r`xb$Ol}tf zQ|!UE3)}}zg45t0a0WaEo&}G9U2qD#3myOoJP3w{Pe6|I9NZ7S1owfj!NcI&h98>q z&yD>JoIl_+xD%H+@5zQ2!9%dS z4R3=dU_S)+f*T;`dD8G1$o{WD_Im?z{P&Ih5#&5yK-S?0$ohz#wGPuD`<((=a*oaa zSxfd~Z8_ffK#0nR_2t3u=fQPw4%YQ37D84vb8p87>(4#hjm4TkQX%F>m@;G}=B){2 zg2zWWayrd|Sg?;xZdD?U4b-=GDA#mOTgTo;H=zFxL#DkfRZ3zp(E*`1&83*aj(wjsI*=O>qg>UnQ5~j z=eV|BMg@s#m;L%pJ)5RENuwU=R0WMBhBiW7o#i}rlG4#5ZDUjRSa=`Plu#w%B`C$N z(;&2$llB909??3o&fn(z?J9F?WqD;KhDS6Yp*?cS)QjtnT^a+xb_X5}DL&Qs{# z?=7`&Y~6Fp_%(9vMKiF8HfcxR=o0auv z_q>s3y7KCU*_ODI6J+IW*=v!hp&aNkC~@B;F{`@wufgMIJ{Em)%}J(mRd82~uKPNE zu!45VT#b~I5H)6^M@|hh?PQ`$a((5ZmR_kKRwzf4qZ=wC=HgJvLU}~a#5@JmHKeM~ zcQ+dhueyjH6-vS(Hi{zy4lKXvX09`YYnog=urAe8uFQH2W~4-u2I{*$(n5sIJAG7C T@Rc+s5Lgrh10CRyRonjp5+F85 literal 0 HcmV?d00001 diff --git a/v0.2.0/_static/locales/id/LC_MESSAGES/booktheme.po b/v0.2.0/_static/locales/id/LC_MESSAGES/booktheme.po new file mode 100644 index 00000000..9ffb56f7 --- /dev/null +++ b/v0.2.0/_static/locales/id/LC_MESSAGES/booktheme.po @@ -0,0 +1,75 @@ + +msgid "" +msgstr "" +"Project-Id-Version: Sphinx-Book-Theme\n" +"MIME-Version: 1.0\n" +"Content-Type: text/plain; charset=UTF-8\n" +"Content-Transfer-Encoding: 8bit\n" +"Language: id\n" +"Plural-Forms: nplurals=2; plural=(n != 1);\n" + +msgid "Theme by the" +msgstr "Tema oleh" + +msgid "Open an issue" +msgstr "Buka masalah" + +msgid "Contents" +msgstr "Isi" + +msgid "Download notebook file" +msgstr "Unduh file notebook" + +msgid "Sphinx Book Theme" +msgstr "Tema Buku Sphinx" + +msgid "Fullscreen mode" +msgstr "Mode layar penuh" + +msgid "Edit this page" +msgstr "Edit halaman ini" + +msgid "By" +msgstr "Oleh" + +msgid "Copyright" +msgstr "hak cipta" + +msgid "Source repository" +msgstr "Repositori sumber" + +msgid "previous page" +msgstr "halaman sebelumnya" + +msgid "next page" +msgstr "halaman selanjutnya" + +msgid "Toggle navigation" +msgstr "Alihkan navigasi" + +msgid "repository" +msgstr "gudang" + +msgid "suggest edit" +msgstr "menyarankan edit" + +msgid "open issue" +msgstr "masalah terbuka" + +msgid "Launch" +msgstr "Meluncurkan" + +msgid "Print to PDF" +msgstr "Cetak ke PDF" + +msgid "By the" +msgstr "Oleh" + +msgid "Last updated on" +msgstr "Terakhir diperbarui saat" + +msgid "Download source file" +msgstr "Unduh file sumber" + +msgid "Download this page" +msgstr "Unduh halaman ini" diff --git a/v0.2.0/_static/locales/it/LC_MESSAGES/booktheme.mo b/v0.2.0/_static/locales/it/LC_MESSAGES/booktheme.mo new file mode 100644 index 0000000000000000000000000000000000000000..53ba476edd2df2a802917e9df402257ceca1a130 GIT binary patch literal 1403 zcmZXSJ&aXF6vsyafhY1QYQiQS8W$5EU!j1vc?Gb$351Os-eM!oynD~ycVOPkWoGWm zTH9#}m5qrNiM6q@vN55xvLLatGO@6+(D*<1-gP%Hxii0e=Htvc|2Z#C?tf~~-bG(P z{{{Vh^sipSfOhD0WAK^77~TMnfQP_S;9+n9db5tC&9bmQINr7VD9+^sD7S+ zZ-HNfN5E&`3Gn-#Klk&$_V(|f-uE{+0Qc?d&L0KUUI5k4BKQM%1;keK2Z+!7i9yf* z1s(_g1vTGe`;B=I{0KY^u7H})r~P~cRhutC&HGzW&wmGM{6B(v?m2h{{0%$^{sW!` z4;<+7S_JjnwcfrBYTWn1Q(y(ER@tjRN(zMHIBUF`R@^(uqn+2D6ew@4L zg5J|zQb*pB(DY&Nai5y1VnoTv1fhfnT;$=ca`*|y1aBki?jP#?!}jLE+O4&f-Stc7 zFAjQPha1~9k0>L63$?T2m#CQ8m^hE`ZLAKj?(U1$r%jH-6<>r>d^Mu0Q^|un)>jR5 z9TALm*F@`vt0B(QhBFUgSr)TwUH`yMh9yxlG%Xix0~y&& z3LB-cB(8l-D%nxCMbU^4uPmkzD-_D^sYeYovZ|_hYt|6+raF6N+B(TUeM703ahwOj z!*UGfp34HuR+WV4?HsPL=1>m45R2fh*HNhPRL3xNJhx_&?Yu^?zAcKo|5pQ*LIIU4 z9%X=yZ5mFd5t*`cmL{7}b7xJ=^_*qP(gmDLw)@AXu2??D^RnquqSO=xr-aR>O-k3u a)*Q3l*@6-(xNK#4xqhOgLbT*tS;gN$Zm<*V0gr*F!6RT6JPeM4`#}XB0Byp@Am^!p`@mOV z7q|)@0zW4Fn)rVt_HU5uZGb6o$Bx$f{UF;tAm=#)eg-dtd%-^-*V_PDx7aDf37`|? zeoukD;5CqS=MqLB_wxkgxVgmt1?-0X4dj{qO1J@X+@W2qe$Rs(cQvs`6FUcTpOYZ# zd6M|6Adj4TU>#hW-}7v_@AidK;vhE9mlyZXi}UiVd9FvXkushE>ug^<53aoj8)J$8 zzT$crKWU3f+%VcIZ9^RVa^Sf|D{h)8T{2EVYGYN-m<~=w|xXST6$p^DKQdw8cB>C zxj87tTJ-|uo6xf+D2p+_=;?>@I%^v*stG0HugtZ28aJ+6Qc^pUp6gf-MYMWoTj~tg zX%+DUHR+isk=>R)j9gbir9vl=V(zQFO%D~)cU2G~TSm6(r@4MQuACYk8XnlX?>m1n zl?*mLUiMW+S_rt{mmE*`%Y4xZLS?ge#s||^w&DUuhxb&F9?*GH@U)weS8|?B-Ey=W zVXhhJO{GRkQQ(x)gC>{=GgAAp8D=l_%hoY_R?FV3>^s+=67+^$;pPAU literal 0 HcmV?d00001 diff --git a/v0.2.0/_static/locales/iw/LC_MESSAGES/booktheme.po b/v0.2.0/_static/locales/iw/LC_MESSAGES/booktheme.po new file mode 100644 index 00000000..4ea190d3 --- /dev/null +++ b/v0.2.0/_static/locales/iw/LC_MESSAGES/booktheme.po @@ -0,0 +1,75 @@ + +msgid "" +msgstr "" +"Project-Id-Version: Sphinx-Book-Theme\n" +"MIME-Version: 1.0\n" +"Content-Type: text/plain; charset=UTF-8\n" +"Content-Transfer-Encoding: 8bit\n" +"Language: iw\n" +"Plural-Forms: nplurals=2; plural=(n != 1);\n" + +msgid "Theme by the" +msgstr "נושא מאת" + +msgid "Open an issue" +msgstr "פתח גיליון" + +msgid "Contents" +msgstr "תוכן" + +msgid "Download notebook file" +msgstr "הורד קובץ מחברת" + +msgid "Sphinx Book Theme" +msgstr "נושא ספר ספינקס" + +msgid "Fullscreen mode" +msgstr "מצב מסך מלא" + +msgid "Edit this page" +msgstr "ערוך דף זה" + +msgid "By" +msgstr "על ידי" + +msgid "Copyright" +msgstr "זכויות יוצרים" + +msgid "Source repository" +msgstr "מאגר המקורות" + +msgid "previous page" +msgstr "עמוד קודם" + +msgid "next page" +msgstr "עמוד הבא" + +msgid "Toggle navigation" +msgstr "החלף ניווט" + +msgid "repository" +msgstr "מאגר" + +msgid "suggest edit" +msgstr "מציע לערוך" + +msgid "open issue" +msgstr "בעיה פתוחה" + +msgid "Launch" +msgstr "לְהַשִׁיק" + +msgid "Print to PDF" +msgstr "הדפס לקובץ PDF" + +msgid "By the" +msgstr "דרך" + +msgid "Last updated on" +msgstr "עודכן לאחרונה ב" + +msgid "Download source file" +msgstr "הורד את קובץ המקור" + +msgid "Download this page" +msgstr "הורד דף זה" diff --git a/v0.2.0/_static/locales/ja/LC_MESSAGES/booktheme.mo b/v0.2.0/_static/locales/ja/LC_MESSAGES/booktheme.mo new file mode 100644 index 0000000000000000000000000000000000000000..1cefd29ce3cc08792667a82dc7ff47e9843107be GIT binary patch literal 1471 zcma))U2GIp6vr=uT2=%temyktnh+I|RZ$+uHv1sbO-LX%QhlH9-p&qe?;Yo((zoth z!EFJNkCxzqu~zx0SU`c+ubA-Uv++eAe7Tv~_Q5w};+y|7GulOC;?11-%{lkn^L6K! z-gVOq>v2dQu6IDn_Xk)2*RIXZZv;v211Zik;1ak4q&&ao z_TO@S&AKd35BL)Hd%6F@2|fYNfYiq|km|n!QoJ8>{U?y}t$^hJJGcehbZ=(g z0h0bQNasgDiZ_<)lR3|UkHUThq>)oh@}pU9hR|%O@9u?E>>&uvmlpL;i{?kUXs#3! zA=v{Ey4&tWeb61=55ZW{`(?Yv@$jH7*egl~LIyrQ+;Pvb>jB%X-jWSv)wooF7*^^a zA8{ID)$FU#tBQXZgSz8$*Rlm0s5t>b|D{&KM#HaqLP$QUYJ%;x{D6mU%?d<~D+xW6 z)jE6Cg@Yxz75=BO|)yDPjO+O|NI0-c}~bwE^u;+|UZ4dMBS zR^nOyBIPfpnG5^&>>F6!-~QYSg?zBZp>bD~cz^<)cN>-?`+2o)dAX*25Q`IlO*w3@i^0SgZ zRp#5b_7~Xl$+OE7hnZ=9YND2D&Y9*#)@d&!S7*EK+UR$U{>JE*(KAMC6J0ZU+C;M^ z`q*e3JZ1ERi7p!bh0&j-o|DW(-_lp~<^OPPo;J+|qu);tEd58ke>rs)FR!$Zu=w!h z&Y7=QE_`G(9#lEWlJgUtTT#-!nao^I&VIs{Z!N}0r&&CGVrBLi!p9%ph)+&2{5I%2 zK7KuJEq2#CZ}bHdEv5a=V6`%k-R^d(Xw}Jf>8QN5e!h zBbA`3bkQ)WS=dVKSy@;~B<{I88!P_b+$$|{a=-hV^ZNe(@4NG5)%+^MSdZvHd_rtS zROaA?v3M?Hcvu@=3&Ew}VsJIs26lk!z^&jKFbl2%PlD~B0GES0VHu=655Q&M6L2Xw z0j>n66Mjh6KPU5VAnE-CQ{cRL@%?s?<{cpA*#_Ef2kG3A zWc>t4Ehi1?A9+}fAZZd{dqh6EFS_D$EB?$Vqvj_EszTqMS+R^&H z>|hBG*9E~2DXE3jK7P0*&#?=d9aa}*QCWE|l@|R-n>7qsZZHEJ ziA7vbTyRv7*q)W%4{Te&r9dUHqRxq&PWR-~XN2b?TZYH_Y0^)(lvBrgj&;rK@7cLK zl{7ZpS8_#$YZ%z&7A;41@?634e4(?a`?}KyX3lw*^v?<}-6eA>??^kt5A-`ab<~n} zfWBto^Y9)w_0g!> zVBythE}X>$!Q{z_su`ZeFjL;phL~syBFa zXVlaiX8iI$xBl9S?ljH#2qeqqHLg5*5Kc5=W8s^|_vRD}$A^$29KXrU!@=^_j5Dv6%;4cA#sHtggl>eA))${_687xQDk?6`Kc@OWFO}WOS!3uO( zjPOmFMc3|`Ymgi(M~_AsRb8*l6oj5N!k1G#oNSsg^a1i?<=NZRz?N8C9`e*ob%^~2 D6Q!<* literal 0 HcmV?d00001 diff --git a/v0.2.0/_static/locales/ko/LC_MESSAGES/booktheme.po b/v0.2.0/_static/locales/ko/LC_MESSAGES/booktheme.po new file mode 100644 index 00000000..6ee3d781 --- /dev/null +++ b/v0.2.0/_static/locales/ko/LC_MESSAGES/booktheme.po @@ -0,0 +1,75 @@ + +msgid "" +msgstr "" +"Project-Id-Version: Sphinx-Book-Theme\n" +"MIME-Version: 1.0\n" +"Content-Type: text/plain; charset=UTF-8\n" +"Content-Transfer-Encoding: 8bit\n" +"Language: ko\n" +"Plural-Forms: nplurals=2; plural=(n != 1);\n" + +msgid "Theme by the" +msgstr "테마별" + +msgid "Open an issue" +msgstr "이슈 열기" + +msgid "Contents" +msgstr "내용" + +msgid "Download notebook file" +msgstr "노트북 파일 다운로드" + +msgid "Sphinx Book Theme" +msgstr "스핑크스 도서 테마" + +msgid "Fullscreen mode" +msgstr "전체 화면으로보기" + +msgid "Edit this page" +msgstr "이 페이지 편집" + +msgid "By" +msgstr "으로" + +msgid "Copyright" +msgstr "저작권" + +msgid "Source repository" +msgstr "소스 저장소" + +msgid "previous page" +msgstr "이전 페이지" + +msgid "next page" +msgstr "다음 페이지" + +msgid "Toggle navigation" +msgstr "탐색 전환" + +msgid "repository" +msgstr "저장소" + +msgid "suggest edit" +msgstr "편집 제안" + +msgid "open issue" +msgstr "열린 문제" + +msgid "Launch" +msgstr "시작하다" + +msgid "Print to PDF" +msgstr "PDF로 인쇄" + +msgid "By the" +msgstr "에 의해" + +msgid "Last updated on" +msgstr "마지막 업데이트" + +msgid "Download source file" +msgstr "소스 파일 다운로드" + +msgid "Download this page" +msgstr "이 페이지 다운로드" diff --git a/v0.2.0/_static/locales/lt/LC_MESSAGES/booktheme.mo b/v0.2.0/_static/locales/lt/LC_MESSAGES/booktheme.mo new file mode 100644 index 0000000000000000000000000000000000000000..4468ba04bc134a84fea5e3c973461cf02c9c2da3 GIT binary patch literal 1413 zcmZvaJ*-qk6vsyag_RElKVp1=p+SgQ1!6(=Ws8Trm%IpJ!!Cq&-rn=>&feLX$$UJx zy>yfs3mYDtv7j(9R@&?)#@fol&{Y(AbXL(_rUwj`9qL(er@8vgIw=pko$cKo&XOVSm=ES z^8O^qK3oL({z?6$1#4Nz2(054oJ;=;JiGzE*_kpy=GszcBB+< zVRAov2m8<3><4U^|G(mLjYp;ti7%W@WK+ZsUk6=|lDOjTSmRV7txL4wTqQTPq1|wF zISlEQU>fNty(&qp7CIsI&UP&u6NiDw%84sTTvaj2>KHSL zUeFdvoa|j$6a9r=An&41F4Us$N7~+%m$|mVh$bZFtK3-hG;n2UNLsa}OO-T4EZt3u z>KyAVM0}tv?Q&E0p7b%7C80_}Cn&{@X_(sUMf(ENwtj7O_x!@A z=Ua`j?LqCSBNGbv%p0ZcvK)?7h?KfF2W#z1yZ3^!ag#!O)ec>uZP}5RHgsxTRkqCV zwIfYx^-K=RwAWmi#E!InzKz|B%X0Cvd)CU+U3uZ$a!agNntg;f8E)25tYny{XFsAC z9jD(SkfM$V#H6LA*|v6LHF0AnD>v~vCkoohO{LBB-b;69+sY(u|L3sMiR5g1`bhd5 zjq=k+;szC}%nlMS$9vjXC#gc)P6nF&q9-bfo{CjQZe*xbNYi^#C9ConpM%1oLFKH0 za&)0WJ=gQWZ5W!M$i7!O!aIl|0e?HQ2Ro%kmCL#^O7u6its3{(8W!QLNCjg(=>2Jsvw ClWZvf literal 0 HcmV?d00001 diff --git a/v0.2.0/_static/locales/lt/LC_MESSAGES/booktheme.po b/v0.2.0/_static/locales/lt/LC_MESSAGES/booktheme.po new file mode 100644 index 00000000..01be2679 --- /dev/null +++ b/v0.2.0/_static/locales/lt/LC_MESSAGES/booktheme.po @@ -0,0 +1,75 @@ + +msgid "" +msgstr "" +"Project-Id-Version: Sphinx-Book-Theme\n" +"MIME-Version: 1.0\n" +"Content-Type: text/plain; charset=UTF-8\n" +"Content-Transfer-Encoding: 8bit\n" +"Language: lt\n" +"Plural-Forms: nplurals=2; plural=(n != 1);\n" + +msgid "Theme by the" +msgstr "Tema" + +msgid "Open an issue" +msgstr "Atidarykite problemą" + +msgid "Contents" +msgstr "Turinys" + +msgid "Download notebook file" +msgstr "Atsisiųsti nešiojamojo kompiuterio failą" + +msgid "Sphinx Book Theme" +msgstr "Sfinkso knygos tema" + +msgid "Fullscreen mode" +msgstr "Pilno ekrano režimas" + +msgid "Edit this page" +msgstr "Redaguoti šį puslapį" + +msgid "By" +msgstr "Iki" + +msgid "Copyright" +msgstr "Autorių teisės" + +msgid "Source repository" +msgstr "Šaltinio saugykla" + +msgid "previous page" +msgstr "Ankstesnis puslapis" + +msgid "next page" +msgstr "Kitas puslapis" + +msgid "Toggle navigation" +msgstr "Perjungti naršymą" + +msgid "repository" +msgstr "saugykla" + +msgid "suggest edit" +msgstr "pasiūlyti redaguoti" + +msgid "open issue" +msgstr "atviras klausimas" + +msgid "Launch" +msgstr "Paleiskite" + +msgid "Print to PDF" +msgstr "Spausdinti į PDF" + +msgid "By the" +msgstr "Prie" + +msgid "Last updated on" +msgstr "Paskutinį kartą atnaujinta" + +msgid "Download source file" +msgstr "Atsisiųsti šaltinio failą" + +msgid "Download this page" +msgstr "Atsisiųskite šį puslapį" diff --git a/v0.2.0/_static/locales/lv/LC_MESSAGES/booktheme.mo b/v0.2.0/_static/locales/lv/LC_MESSAGES/booktheme.mo new file mode 100644 index 0000000000000000000000000000000000000000..74aa4d8985d96a07c4c9be96f006f3b58d884342 GIT binary patch literal 1404 zcmZ9K&5ImG7{*_dsL7ZQP5eMvump*E7&XB|oMjFhcNYS?IAk~8Yi8c*sqUVtras2( zdKwT<9)#7Cr{GC*^B|r)^?-kXCk3y9;7t%O;`2^-vdb1-{p+f(exK)k=-;oN`-(7L z!d%1r1@l$R&!4~zPs;uHG2 zUH=1$um8Z;!As|eUIA~m+y%w|6qJ5G0bd5c0G|fGYu|qlzJT=-lzP8`lHs4A_&D=q zlgkxQ>Rkt~f$z861tmufO5Zssk;}JoUbN-BWGj829FU-AF-2E~^e;o|NY;|8ctc5g z22*^U9FmJ@OFxKVl@HxMz@_4p=>umY+Zgar9e9&XBW=2mZRzw_Sr>WeT%jhWmHkCxl1EW^k%TQzfIrX3xkO4V3L9xG?DPIfe<4=WtdR+$hI z)4&^xB2Eo9w`s4@^IW-LqVor|S51w*uWpOC{VC6wR(CaQdfIncRMGG) zBv*eURUdB+Oli45Wvi9v9Ia6vne84ZIht?0o$f< A2mk;8 literal 0 HcmV?d00001 diff --git a/v0.2.0/_static/locales/lv/LC_MESSAGES/booktheme.po b/v0.2.0/_static/locales/lv/LC_MESSAGES/booktheme.po new file mode 100644 index 00000000..993a1e41 --- /dev/null +++ b/v0.2.0/_static/locales/lv/LC_MESSAGES/booktheme.po @@ -0,0 +1,75 @@ + +msgid "" +msgstr "" +"Project-Id-Version: Sphinx-Book-Theme\n" +"MIME-Version: 1.0\n" +"Content-Type: text/plain; charset=UTF-8\n" +"Content-Transfer-Encoding: 8bit\n" +"Language: lv\n" +"Plural-Forms: nplurals=2; plural=(n != 1);\n" + +msgid "Theme by the" +msgstr "Autora tēma" + +msgid "Open an issue" +msgstr "Atveriet problēmu" + +msgid "Contents" +msgstr "Saturs" + +msgid "Download notebook file" +msgstr "Lejupielādēt piezīmju grāmatiņu" + +msgid "Sphinx Book Theme" +msgstr "Sfinksa grāmatas tēma" + +msgid "Fullscreen mode" +msgstr "Pilnekrāna režīms" + +msgid "Edit this page" +msgstr "Rediģēt šo lapu" + +msgid "By" +msgstr "Autors" + +msgid "Copyright" +msgstr "Autortiesības" + +msgid "Source repository" +msgstr "Avota krātuve" + +msgid "previous page" +msgstr "iepriekšējā lapa" + +msgid "next page" +msgstr "nākamā lapaspuse" + +msgid "Toggle navigation" +msgstr "Pārslēgt navigāciju" + +msgid "repository" +msgstr "krātuve" + +msgid "suggest edit" +msgstr "ieteikt rediģēt" + +msgid "open issue" +msgstr "atklāts jautājums" + +msgid "Launch" +msgstr "Uzsākt" + +msgid "Print to PDF" +msgstr "Drukāt PDF formātā" + +msgid "By the" +msgstr "Ar" + +msgid "Last updated on" +msgstr "Pēdējoreiz atjaunināts" + +msgid "Download source file" +msgstr "Lejupielādēt avota failu" + +msgid "Download this page" +msgstr "Lejupielādējiet šo lapu" diff --git a/v0.2.0/_static/locales/ml/LC_MESSAGES/booktheme.mo b/v0.2.0/_static/locales/ml/LC_MESSAGES/booktheme.mo new file mode 100644 index 0000000000000000000000000000000000000000..2736e8fcf6f9e923c2403307f0b366086d37b335 GIT binary patch literal 1883 zcmbW0%ZnUE9LGydG>*^22ObnFl0!U=*`!Gj=35eWDu@Vn6%SYIC#v~L=<+PV8oUUd{}t%`e}*gYclZSS_^!ZZxSjb`_!_(p zTd=uFh;ewl;wqeG{x{qKTbqR#gE5?hpTno&U(oq&;Si6(7JLc50p0#-xD$R4pMlrl zez^G_At=eHx!OEj&F+K95`^|`3%xs|tB0$dYp$lQaXj&eABB3jp*ug}eRDN&btbLg zC_?O6*AzH~{-A|&9)JdV{ljJRVAnvQRl4{_?&D7b7KD1k z&HJ`jzT)e&M4gbqlB?mhqaXMpAZg<;-hlh5ZiX1=e36nUswzgb&SN${bnp4Gv=IQ6$P05hgaiFop^2w W+5FkQ^s?wV7=JSkIl3Km4aE({iDO&< literal 0 HcmV?d00001 diff --git a/v0.2.0/_static/locales/ml/LC_MESSAGES/booktheme.po b/v0.2.0/_static/locales/ml/LC_MESSAGES/booktheme.po new file mode 100644 index 00000000..81daf7c8 --- /dev/null +++ b/v0.2.0/_static/locales/ml/LC_MESSAGES/booktheme.po @@ -0,0 +1,66 @@ + +msgid "" +msgstr "" +"Project-Id-Version: Sphinx-Book-Theme\n" +"MIME-Version: 1.0\n" +"Content-Type: text/plain; charset=UTF-8\n" +"Content-Transfer-Encoding: 8bit\n" +"Language: ml\n" +"Plural-Forms: nplurals=2; plural=(n != 1);\n" + +msgid "Theme by the" +msgstr "പ്രമേയം" + +msgid "Open an issue" +msgstr "ഒരു പ്രശ്നം തുറക്കുക" + +msgid "Download notebook file" +msgstr "നോട്ട്ബുക്ക് ഫയൽ ഡൺലോഡ് ചെയ്യുക" + +msgid "Sphinx Book Theme" +msgstr "സ്ഫിങ്ക്സ് പുസ്തക തീം" + +msgid "Edit this page" +msgstr "ഈ പേജ് എഡിറ്റുചെയ്യുക" + +msgid "By" +msgstr "എഴുതിയത്" + +msgid "Copyright" +msgstr "പകർപ്പവകാശം" + +msgid "Source repository" +msgstr "ഉറവിട ശേഖരം" + +msgid "previous page" +msgstr "മുൻപത്തെ താൾ" + +msgid "next page" +msgstr "അടുത്ത പേജ്" + +msgid "Toggle navigation" +msgstr "നാവിഗേഷൻ ടോഗിൾ ചെയ്യുക" + +msgid "suggest edit" +msgstr "എഡിറ്റുചെയ്യാൻ നിർദ്ദേശിക്കുക" + +msgid "open issue" +msgstr "തുറന്ന പ്രശ്നം" + +msgid "Launch" +msgstr "സമാരംഭിക്കുക" + +msgid "Print to PDF" +msgstr "PDF- ലേക്ക് പ്രിന്റുചെയ്യുക" + +msgid "By the" +msgstr "എഴുതിയത്" + +msgid "Last updated on" +msgstr "അവസാനം അപ്‌ഡേറ്റുചെയ്‌തത്" + +msgid "Download source file" +msgstr "ഉറവിട ഫയൽ ഡൗൺലോഡുചെയ്യുക" + +msgid "Download this page" +msgstr "ഈ പേജ് ഡൗൺലോഡുചെയ്യുക" diff --git a/v0.2.0/_static/locales/mr/LC_MESSAGES/booktheme.mo b/v0.2.0/_static/locales/mr/LC_MESSAGES/booktheme.mo new file mode 100644 index 0000000000000000000000000000000000000000..fe530100d7715cdc19a6f9db33a971665835f3c4 GIT binary patch literal 1674 zcma))-D_M$7>7rVU#qnriYO?KB2uYGt)hetL1>ylCBZ;a@uD{;yVJ8rH#3KG&bG~6 zRisua;ze5NO^wW!;71IF+EldSwKo+61wrPsjrLTQ<5nO9X$iPPmDi?R5_3f- z*T>{OU(0+)Eh-V7av_#JZ?debq)w0ISz70aXmzZP)flf6MT$}#$xUxiX4T6wMQMt1 z(Km0ZR-GJZC$ForB1Kb1(Zq`;L9Q`#U}kc-zxUba8xuy?O4rH!QlXl%M)kR(o922< zwmNB9se1h2{8TbJJXfZ=I;_fMQnySy*I84JF64D%I@MVZ^O|z8Y|M6hW!g=qOu1M! zr7ps>8h>F-#@F%PT0TB5_dY$=5YC=={Zr0fboPp~>pX9~wCwsPo&DVPkH=Hao^bXY zXIEYSL*AVI()HhVc3C?6MacEOvlp1GgbA^$%){9gR+l%mHiEnj&-JixH&Y;SGbt{+ z{t03z?p+g;%KlU0jXnJ;6hm+E zO4d<`2T4o{Hn?Oyg$)#jm)Q^UYaHJCp>S-t$!CBi7ej)}A>Wy>@(p%y@Lc$O&cyp1 zdP#?v^I4GaH+|g|B8k!Ldl%Wfwrg(}`)i>kl#a*D@zz$^*>a1%2AcIZ5x;fu4@Sqm A6951J literal 0 HcmV?d00001 diff --git a/v0.2.0/_static/locales/mr/LC_MESSAGES/booktheme.po b/v0.2.0/_static/locales/mr/LC_MESSAGES/booktheme.po new file mode 100644 index 00000000..fd857bff --- /dev/null +++ b/v0.2.0/_static/locales/mr/LC_MESSAGES/booktheme.po @@ -0,0 +1,66 @@ + +msgid "" +msgstr "" +"Project-Id-Version: Sphinx-Book-Theme\n" +"MIME-Version: 1.0\n" +"Content-Type: text/plain; charset=UTF-8\n" +"Content-Transfer-Encoding: 8bit\n" +"Language: mr\n" +"Plural-Forms: nplurals=2; plural=(n != 1);\n" + +msgid "Theme by the" +msgstr "द्वारा थीम" + +msgid "Open an issue" +msgstr "एक मुद्दा उघडा" + +msgid "Download notebook file" +msgstr "नोटबुक फाईल डाउनलोड करा" + +msgid "Sphinx Book Theme" +msgstr "स्फिंक्स बुक थीम" + +msgid "Edit this page" +msgstr "हे पृष्ठ संपादित करा" + +msgid "By" +msgstr "द्वारा" + +msgid "Copyright" +msgstr "कॉपीराइट" + +msgid "Source repository" +msgstr "स्त्रोत भांडार" + +msgid "previous page" +msgstr "मागील पान" + +msgid "next page" +msgstr "पुढील पृष्ठ" + +msgid "Toggle navigation" +msgstr "नेव्हिगेशन टॉगल करा" + +msgid "suggest edit" +msgstr "संपादन सुचवा" + +msgid "open issue" +msgstr "खुला मुद्दा" + +msgid "Launch" +msgstr "लाँच करा" + +msgid "Print to PDF" +msgstr "पीडीएफवर मुद्रित करा" + +msgid "By the" +msgstr "द्वारा" + +msgid "Last updated on" +msgstr "अखेरचे अद्यतनित" + +msgid "Download source file" +msgstr "स्त्रोत फाइल डाउनलोड करा" + +msgid "Download this page" +msgstr "हे पृष्ठ डाउनलोड करा" diff --git a/v0.2.0/_static/locales/ms/LC_MESSAGES/booktheme.mo b/v0.2.0/_static/locales/ms/LC_MESSAGES/booktheme.mo new file mode 100644 index 0000000000000000000000000000000000000000..f02603fa2522a40060bd3f1b5d65052c77530de6 GIT binary patch literal 1213 zcmZXRJ8Km|6vs!6uj@1M0TG1}Eworov@58TBL2_ajS)TU%x`DrywA6>k!K8Y7V9F`8>~xM5BFh% zd;s@@AHhT5C-5lv6+91q2g&v)I0lYF`6PH1JO$nc$*v2Y0Pldu!3W?dC>w4z_m7+N zHb`+^fGzM9NcL|*vVRZ02ETwK;L`&&w?VSo0ms4TAm#b4;b-tP&Og8l;4hH$$Kizh zUTHW1Qhptf^p`=>djwK_>)<(X03HLMfK>lZ^ZpV{}g%EROCaZxzWLzM_G6K*tH6hX%sTdt($LUZL@kZi>& z4I{%>X6M;z?cd7EIOUBUu+=J4dW+9cF1<{ak_~s>uT$@tG%Y08Vne0ED+JMU%h%Z$ zic<%vtlUs0G-K1wUB*6INTU1FI=E=_I%q^eqhYw#(!$c*-uvW@iB{KW zFSU<)gG#o!N7S2DA(WoxaVD&jzH_fPA5HD)S)tvUw9%Z7O`>$#=2Ly;TZ=-c0nKak z(zRBKU_}wl8(X?I*VXXoI=7~I{oA>w`Q;9uyguDx%Y{TQY0E^;V^w*;2yki7=)(TYV{?8_pQ^c*8Iog%4v$iD&q$RjNP literal 0 HcmV?d00001 diff --git a/v0.2.0/_static/locales/ms/LC_MESSAGES/booktheme.po b/v0.2.0/_static/locales/ms/LC_MESSAGES/booktheme.po new file mode 100644 index 00000000..b616d70f --- /dev/null +++ b/v0.2.0/_static/locales/ms/LC_MESSAGES/booktheme.po @@ -0,0 +1,66 @@ + +msgid "" +msgstr "" +"Project-Id-Version: Sphinx-Book-Theme\n" +"MIME-Version: 1.0\n" +"Content-Type: text/plain; charset=UTF-8\n" +"Content-Transfer-Encoding: 8bit\n" +"Language: ms\n" +"Plural-Forms: nplurals=2; plural=(n != 1);\n" + +msgid "Theme by the" +msgstr "Tema oleh" + +msgid "Open an issue" +msgstr "Buka masalah" + +msgid "Download notebook file" +msgstr "Muat turun fail buku nota" + +msgid "Sphinx Book Theme" +msgstr "Tema Buku Sphinx" + +msgid "Edit this page" +msgstr "Edit halaman ini" + +msgid "By" +msgstr "Oleh" + +msgid "Copyright" +msgstr "hak cipta" + +msgid "Source repository" +msgstr "Repositori sumber" + +msgid "previous page" +msgstr "halaman sebelumnya" + +msgid "next page" +msgstr "muka surat seterusnya" + +msgid "Toggle navigation" +msgstr "Togol navigasi" + +msgid "suggest edit" +msgstr "cadangkan edit" + +msgid "open issue" +msgstr "isu terbuka" + +msgid "Launch" +msgstr "Lancarkan" + +msgid "Print to PDF" +msgstr "Cetak ke PDF" + +msgid "By the" +msgstr "Oleh" + +msgid "Last updated on" +msgstr "Terakhir dikemas kini pada" + +msgid "Download source file" +msgstr "Muat turun fail sumber" + +msgid "Download this page" +msgstr "Muat turun halaman ini" diff --git a/v0.2.0/_static/locales/nl/LC_MESSAGES/booktheme.mo b/v0.2.0/_static/locales/nl/LC_MESSAGES/booktheme.mo new file mode 100644 index 0000000000000000000000000000000000000000..e59e7ecb308a7648cd23aa6342a9ad98a61d0009 GIT binary patch literal 1356 zcmZXTJ5Los6vqcag)1TtUj+$cqf)Gju^^CJh(JODkqBZvyL;~La`(<`W@dTSmfC47 z`~-XfW8nv|v9q$Ewb8~-3*-OXUAP1%JNw%?Gxz+@WA4%Tz*~WF19KAdE9MmDt3JFi z2G0qBM-1V00UQPg!3l5(oCL3fx52Am6C4Mhfg>P+S3qC$CCGl>fS1Ad;4pXyj)5O) zey;7`>h*V!^?rj5u)n|h{RqhGNs#^A0Y8F|zya_lcoF;svhE*{ng4G|2HU zfE@n|kmKI2*9Rc$zXmzZceVWx9L4%m%`YJ5bp-OcA0YetTieIZSNl^S#~pwZ;4H`` z=N$Mv$HI25E$f~haMji1Jb17l9<0YPv;H+qxD=N#xwoeW*MWP;bwN40{S^!Qc%)BB zJTcmn_6{G#zRi--xzS!`5#mI~uCZ|uI< zDAG*t$pwyWGo=oR?puacPMao4a*|r@WQp<_L^SRBDmueDl}KS}Co^Ro_9^$SOcFwr zgiH{M*`~+`D{-(z*1_AHtn>rc54y^YwUxD{-u}$J2aUS0!RCHJbJ8P#`$euYJujnF zSx3J4d~-RN?VYnqyB67CNk=BmbTTJr!^}5Ul}<|3bx!KMv7VP!<-xMC9S1|vUApGO zd0Bln?`nCgDQBkV8|as@-IqkwS9EI1Sg6udX`Q7gMb~>RJ??afw3Uu~8!34iTBHBl zi0Od1qM24Aq+POY$n;EGCeKm6M7k&?+d-F=M@18=IxkHDla2^|PO9GX1u3ivbE1xT z+=^}4Zo{ONva*On--8-OUjI=r94V1Y}`N=IHv19Ut jbWAeLReX?b<52fDoT%;?`~gm~I(s23S;SN2irW1H>^?=m literal 0 HcmV?d00001 diff --git a/v0.2.0/_static/locales/nl/LC_MESSAGES/booktheme.po b/v0.2.0/_static/locales/nl/LC_MESSAGES/booktheme.po new file mode 100644 index 00000000..f16f4bcc --- /dev/null +++ b/v0.2.0/_static/locales/nl/LC_MESSAGES/booktheme.po @@ -0,0 +1,75 @@ + +msgid "" +msgstr "" +"Project-Id-Version: Sphinx-Book-Theme\n" +"MIME-Version: 1.0\n" +"Content-Type: text/plain; charset=UTF-8\n" +"Content-Transfer-Encoding: 8bit\n" +"Language: nl\n" +"Plural-Forms: nplurals=2; plural=(n != 1);\n" + +msgid "Theme by the" +msgstr "Thema door de" + +msgid "Open an issue" +msgstr "Open een probleem" + +msgid "Contents" +msgstr "Inhoud" + +msgid "Download notebook file" +msgstr "Download notebookbestand" + +msgid "Sphinx Book Theme" +msgstr "Sphinx-boekthema" + +msgid "Fullscreen mode" +msgstr "Volledig scherm" + +msgid "Edit this page" +msgstr "bewerk deze pagina" + +msgid "By" +msgstr "Door" + +msgid "Copyright" +msgstr "auteursrechten" + +msgid "Source repository" +msgstr "Bronopslagplaats" + +msgid "previous page" +msgstr "vorige pagina" + +msgid "next page" +msgstr "volgende bladzijde" + +msgid "Toggle navigation" +msgstr "Schakel navigatie" + +msgid "repository" +msgstr "repository" + +msgid "suggest edit" +msgstr "suggereren bewerken" + +msgid "open issue" +msgstr "open probleem" + +msgid "Launch" +msgstr "Lancering" + +msgid "Print to PDF" +msgstr "Afdrukken naar pdf" + +msgid "By the" +msgstr "Door de" + +msgid "Last updated on" +msgstr "Laatst geupdate op" + +msgid "Download source file" +msgstr "Download het bronbestand" + +msgid "Download this page" +msgstr "Download deze pagina" diff --git a/v0.2.0/_static/locales/no/LC_MESSAGES/booktheme.mo b/v0.2.0/_static/locales/no/LC_MESSAGES/booktheme.mo new file mode 100644 index 0000000000000000000000000000000000000000..6cd15c88de675226c00ca4d0430171075e5559ff GIT binary patch literal 1317 zcmZ9KJ#5r46vxeXdz6pzxm3a|d<+2!3{|TeDD*@{E2`eX#NxZWChjG6WIIQ@F#r=I zh=CaiW+cQ+7sSlefekSsA;E&g!2exRwZe-1i=UnMe;@gJZ0`$!aT;?1^9$w~%xAl> zV2tb*0*@HQvL74+N5JFYC^!M00?&abz$SPMTm}z=1ReoH&Bq}7c@7=|Ux8!bTW}nF zU-MIK->moFLDu^NHo!f5s_zejyq^Hs&w20zcpb!5@dLyoequQQ{ss?%e?g9WWG`|7 z&ww2NwR(RWJc|7Tkn_pGec+?o{vnrOx2I^Ydmn%A>ZL_zf>(PJ4kZLarm5`W=b%5)w zZL7>O-*ZGp<~Am=pnQ;J5vxG4v+R9LTr zb?c&Cq}r^>S&prfQchyH%5IfY$0kWe(x`z>RL~GHv=*x9EbCMvg`Y>jh2AfB-HRnbKxP z_EP0Mh336ZE1KHA=alg)i!%*zV<7HREar_#Z59h#6sa0`M0_gBf~5&B$u(bn(=RqnJ4d{?xCazSi7Dd36F5NEp? z<)YnpdLTAmS7{(1PP{Mcl94asi9}+1PF;uA{A!sWqQCgLP1e#J@rEvuCjIeG)u_ z_zHL&oC3+mBarlB@FchjQl1we?OzAU{{~3=--1+!&*l7gkoNrokAjC_hW4EWNq-dF z2i^p!UUxt$Ipw67YDs=blg_=fL9(w&^`%C>sF5z^AYYUllKnH&-R^8uf4W1;k81~m7!h)9ylfZ~^CgwY?O|s!8_53#eN#D}ib%4l zPdl`G0* zrR^Q^E{h@wml7v|6|*b@U!4i752bZbtMMX#mGW2nnJcq1vs2siW24t9Wnrs}c`9q% z!@$)v5lT<+ped}AzW!iwx;nnS&I;|8q^(Zrz=TRiH9p=@zH(RSC_`OqJWVR|NoGY- zoi?`RYFwxN(ABR`V3KC)moz_L=VO;ADlp!Wow9!{+QNF%d)$vmWXUlwR2&%HTrgJW19E;7l zzACcDJ`;)Rh+tW;2Q~|urlsI%&bL2qk_T%ViEOb+o5j!ziwCfPoA2cCtFji~wj$ZA z@p+raPIaI5KE$fLmvXo`p>N|Ts6=nA`!wj_O|+>xW d^Crc{P^+yKEfI-Mu31OGXlgVp$}sP%{Q=l!SrY&N literal 0 HcmV?d00001 diff --git a/v0.2.0/_static/locales/pl/LC_MESSAGES/booktheme.po b/v0.2.0/_static/locales/pl/LC_MESSAGES/booktheme.po new file mode 100644 index 00000000..80d2c896 --- /dev/null +++ b/v0.2.0/_static/locales/pl/LC_MESSAGES/booktheme.po @@ -0,0 +1,75 @@ + +msgid "" +msgstr "" +"Project-Id-Version: Sphinx-Book-Theme\n" +"MIME-Version: 1.0\n" +"Content-Type: text/plain; charset=UTF-8\n" +"Content-Transfer-Encoding: 8bit\n" +"Language: pl\n" +"Plural-Forms: nplurals=2; plural=(n != 1);\n" + +msgid "Theme by the" +msgstr "Motyw autorstwa" + +msgid "Open an issue" +msgstr "Otwórz problem" + +msgid "Contents" +msgstr "Zawartość" + +msgid "Download notebook file" +msgstr "Pobierz plik notatnika" + +msgid "Sphinx Book Theme" +msgstr "Motyw książki Sphinx" + +msgid "Fullscreen mode" +msgstr "Pełny ekran" + +msgid "Edit this page" +msgstr "Edytuj tę strone" + +msgid "By" +msgstr "Przez" + +msgid "Copyright" +msgstr "prawa autorskie" + +msgid "Source repository" +msgstr "Repozytorium źródłowe" + +msgid "previous page" +msgstr "Poprzednia strona" + +msgid "next page" +msgstr "Następna strona" + +msgid "Toggle navigation" +msgstr "Przełącz nawigację" + +msgid "repository" +msgstr "magazyn" + +msgid "suggest edit" +msgstr "zaproponuj edycję" + +msgid "open issue" +msgstr "otwarty problem" + +msgid "Launch" +msgstr "Uruchomić" + +msgid "Print to PDF" +msgstr "Drukuj do PDF" + +msgid "By the" +msgstr "Przez" + +msgid "Last updated on" +msgstr "Ostatnia aktualizacja" + +msgid "Download source file" +msgstr "Pobierz plik źródłowy" + +msgid "Download this page" +msgstr "Pobierz tę stronę" diff --git a/v0.2.0/_static/locales/pt/LC_MESSAGES/booktheme.mo b/v0.2.0/_static/locales/pt/LC_MESSAGES/booktheme.mo new file mode 100644 index 0000000000000000000000000000000000000000..d0ddb8728e1d5ef72dddc1537f66aa32251a83c8 GIT binary patch literal 1364 zcmZ9KJ!lj`6vsyszs~RYi3A)AKVkhsL@peXm>dKW4Dqy|yM5Uk-JMxyXV09qrC4bb zE3pu<6hyS##>&dd!p6cz!N$T$|8I9gLWZ0D-MpQB@BjWY-^NCt35+9{h16S(zZ$SR;BglC^gY3_DkUjkg^8V2+RlY+YuTO%k z_iDYq0kY*B<9wX!0496Oy4Me+EOW5GJh*=z>>q1pUk_m-WvQ8UtRL(@Yuttj8%m$V z)DS=E`y_5yrAF9A~6$c zkJPKnb{@xB&k-4!*pS4W%Dl|ePxSZ1+Sg`TPO-L5pAr(~Q+BJKIyQ=8l12@5q`XEEL(9HWXSq&QBy}{>iJ+c4DOK2kgX}J`T^Gu%F2!T+4-5Z_m|FJY}CdEoncB%=^@}k z8Y^ukWUsGWM!t2s(+;k!?Q_axOXPwX)3c#AQBz*)YTuYsCd%P!Q>MPL5a&+CLEE|{ zYf6)r%dB;ILRNoUXN)}2l9$d-G{iJ)q}Wy`Tzm+v2(=>^C{+#@RV=2IURF*jcR$wy zD??aTpZLaCOMFYpAW1l*WLmt4v{B_@b0}L2&D+qT-&mnh(n=I7vDb-`%I7N94^{E1 zcxfdiIC)dNQVDLK6_Z`3WS+>>*=|gU60=F_bfO(LmX~0$I{o6U(^gh;I@l*sE7k*N z>oXB$Fttuh#-5x(d)$^9P*fEbsVm+tv!2x!?&s);C8;hsuS6ZkWkdpvO!dtuOAFi$ LL?J8GWh3H0!r)O_ literal 0 HcmV?d00001 diff --git a/v0.2.0/_static/locales/pt/LC_MESSAGES/booktheme.po b/v0.2.0/_static/locales/pt/LC_MESSAGES/booktheme.po new file mode 100644 index 00000000..45ac847f --- /dev/null +++ b/v0.2.0/_static/locales/pt/LC_MESSAGES/booktheme.po @@ -0,0 +1,75 @@ + +msgid "" +msgstr "" +"Project-Id-Version: Sphinx-Book-Theme\n" +"MIME-Version: 1.0\n" +"Content-Type: text/plain; charset=UTF-8\n" +"Content-Transfer-Encoding: 8bit\n" +"Language: pt\n" +"Plural-Forms: nplurals=2; plural=(n != 1);\n" + +msgid "Theme by the" +msgstr "Tema por" + +msgid "Open an issue" +msgstr "Abra um problema" + +msgid "Contents" +msgstr "Conteúdo" + +msgid "Download notebook file" +msgstr "Baixar arquivo de notebook" + +msgid "Sphinx Book Theme" +msgstr "Tema do livro Sphinx" + +msgid "Fullscreen mode" +msgstr "Modo tela cheia" + +msgid "Edit this page" +msgstr "Edite essa página" + +msgid "By" +msgstr "De" + +msgid "Copyright" +msgstr "direito autoral" + +msgid "Source repository" +msgstr "Repositório fonte" + +msgid "previous page" +msgstr "página anterior" + +msgid "next page" +msgstr "próxima página" + +msgid "Toggle navigation" +msgstr "Alternar de navegação" + +msgid "repository" +msgstr "repositório" + +msgid "suggest edit" +msgstr "sugerir edição" + +msgid "open issue" +msgstr "questão aberta" + +msgid "Launch" +msgstr "Lançamento" + +msgid "Print to PDF" +msgstr "Imprimir em PDF" + +msgid "By the" +msgstr "Pelo" + +msgid "Last updated on" +msgstr "Última atualização em" + +msgid "Download source file" +msgstr "Baixar arquivo fonte" + +msgid "Download this page" +msgstr "Baixe esta página" diff --git a/v0.2.0/_static/locales/ro/LC_MESSAGES/booktheme.mo b/v0.2.0/_static/locales/ro/LC_MESSAGES/booktheme.mo new file mode 100644 index 0000000000000000000000000000000000000000..3c36ab1df7c589ad82614599b8c91f072a25d4a6 GIT binary patch literal 1390 zcmZ{jxo;Ce6vhX_5zG}5ZUr$kT#~s&fgHI>97~Z1L||yB#=9@;f%VL44!~(cNeM!T zzkmW7Bt%b&NVHTGv{Xn`NHmD=truc}813$F=kWX9`}X8CsJNO-Bou44rIk82E zW8ekwD0mG#0%~vyTm=t+&p?jz3S_U|fL!MXkn8*mPJmxQ*7*st&Nlprc^KsLXDc>A z&U>kv-vQZju7S_7m#oj;a^0f?p-U~+<-u`yunv38zH-h8DR$!Kd`AcS&)<;qgbk%n zVs?N_h8~GIYXX_z@lp(&&U!(#>;scql}cj+b*;T8mvv4X%iczp&|iz8r@bsxMq)nI z0il0S+cD35;)smw+mysr<%5hxssg3b8qA|fdg6M41IkG4eI&8uv_TLnms)LcbExO2 zuwDo22I6MX)8?U^<=i?w>XRs+vOBD)W3wzLY1Dn4sh}ZZ=wTRUXIW<`QaHM=ZLHEB z3GZW;5wavyf>i8XN#8^5U79nrN}tCR1WA7O>Nc7D^1!X_=B#5k}&OPu5mlqSjw% ze9!ggnq18PeE0wD`{?}IYPqW%0!Wn*zA9eO0NP-Sd!P*Z&(5Mvp+E_$mG57h;3yNf z@}T<)Q9@L?UQv!@t~hzGN|ByUi8HjaaJHLM9|{Y76xA;^5T@*t78+y)y;r5zA;cW% z6j3gq1Ltf%1{N7Mh$B&^tz>kF94xj(C8Xe$PteOytPUysU!2AvEWuE6Fj7Z>o*_qS K1txIYaExD}s9q8P literal 0 HcmV?d00001 diff --git a/v0.2.0/_static/locales/ro/LC_MESSAGES/booktheme.po b/v0.2.0/_static/locales/ro/LC_MESSAGES/booktheme.po new file mode 100644 index 00000000..532b3b84 --- /dev/null +++ b/v0.2.0/_static/locales/ro/LC_MESSAGES/booktheme.po @@ -0,0 +1,75 @@ + +msgid "" +msgstr "" +"Project-Id-Version: Sphinx-Book-Theme\n" +"MIME-Version: 1.0\n" +"Content-Type: text/plain; charset=UTF-8\n" +"Content-Transfer-Encoding: 8bit\n" +"Language: ro\n" +"Plural-Forms: nplurals=2; plural=(n != 1);\n" + +msgid "Theme by the" +msgstr "Tema de" + +msgid "Open an issue" +msgstr "Deschideți o problemă" + +msgid "Contents" +msgstr "Cuprins" + +msgid "Download notebook file" +msgstr "Descărcați fișierul notebook" + +msgid "Sphinx Book Theme" +msgstr "Tema Sphinx Book" + +msgid "Fullscreen mode" +msgstr "Modul ecran întreg" + +msgid "Edit this page" +msgstr "Editați această pagină" + +msgid "By" +msgstr "De" + +msgid "Copyright" +msgstr "Drepturi de autor" + +msgid "Source repository" +msgstr "Depozit sursă" + +msgid "previous page" +msgstr "pagina anterioară" + +msgid "next page" +msgstr "pagina următoare" + +msgid "Toggle navigation" +msgstr "Comutare navigare" + +msgid "repository" +msgstr "repertoriu" + +msgid "suggest edit" +msgstr "sugerează editare" + +msgid "open issue" +msgstr "problema deschisă" + +msgid "Launch" +msgstr "Lansa" + +msgid "Print to PDF" +msgstr "Imprimați în PDF" + +msgid "By the" +msgstr "Langa" + +msgid "Last updated on" +msgstr "Ultima actualizare la" + +msgid "Download source file" +msgstr "Descărcați fișierul sursă" + +msgid "Download this page" +msgstr "Descarcă această pagină" diff --git a/v0.2.0/_static/locales/ru/LC_MESSAGES/booktheme.mo b/v0.2.0/_static/locales/ru/LC_MESSAGES/booktheme.mo new file mode 100644 index 0000000000000000000000000000000000000000..6b8ca41f36ebf869818399a9584cdb15619bea78 GIT binary patch literal 1722 zcmZ{iPiz!b9LJx6N>>C0{~WCHj6uL;MNkv6buUP3NFY{Oy-#-^yQABg$;>R!8?=By zpk6eZkcjo>ZEd^jw#)9`jK?>LiHQeq#*-Is-2D7zrnWZnvTr^!zxmDY_x*j}{=RSL zmx}cqdz}3X`vCjaLtI$99#)E<8sqXP+zofZ{csG9!)M_u@M&0v```y~4>WKujB{Rv zQs)c!1iS-x!|&l!u$%MeJpNn${3n!t_hA9<*pYp|2g>s}lsboC555U^!oQ&C`x}bB zF@i6^7vWp*ZFm@l@KtyR9)~}{gYZ5)1P?rt)qfX0&vOMzodC-FMW|sH%3Qy~Bk&LS zGTh71lK%!g2;Ya|(?xg`eg?&InL*;Bbw69Q%iLQRlGKxI@mH42FH8IruciMpY+9?w z*>bj97p>AWd<Owguyc8|lEQ8#P&TV@hv4PPLlNs2UpM=~=&K)EOs=bt|Yjv8id_3$EYFWp61Twd!?)O2Z^b@jo`zxOlo&{K$k6 z)k-?+UzGmEv~%I?>9doY?~lFqdLcKqSeXk!s4V?^=qzIFXM1NyDcB~ z^h;%Z?8rnx*}Ha_UXm-xW!tfr6}wJC zN81q@gr(9Fv3Bw)dp^0PldHtnY+u_Sxf$6W-wgO>O_L_|y0EwXD@jYPrM(BqO_Ddt zDEk#lk9`p%b*uDr%Zu6PU zG_bh>@urJlTp^1w`f2$AR}2{1AJVy&({OH-XdNXBVw1Appn{Ug&D59FU~!E~qO?uY z2%}Tqa+P*D{a@R!x0@kSMzqWv;2@B-rtEiw@7eZ-vn#fz?Gn!QP_`~@{!JJr^D>2; zYX|@P$s&z$lLI4H4zg!gP;s5$q8v^-E0ZiHHwb^e&1~CN%&|G1oY;Q{yqk7fcCfJk literal 0 HcmV?d00001 diff --git a/v0.2.0/_static/locales/ru/LC_MESSAGES/booktheme.po b/v0.2.0/_static/locales/ru/LC_MESSAGES/booktheme.po new file mode 100644 index 00000000..b718b482 --- /dev/null +++ b/v0.2.0/_static/locales/ru/LC_MESSAGES/booktheme.po @@ -0,0 +1,75 @@ + +msgid "" +msgstr "" +"Project-Id-Version: Sphinx-Book-Theme\n" +"MIME-Version: 1.0\n" +"Content-Type: text/plain; charset=UTF-8\n" +"Content-Transfer-Encoding: 8bit\n" +"Language: ru\n" +"Plural-Forms: nplurals=2; plural=(n != 1);\n" + +msgid "Theme by the" +msgstr "Тема от" + +msgid "Open an issue" +msgstr "Открыть вопрос" + +msgid "Contents" +msgstr "Содержание" + +msgid "Download notebook file" +msgstr "Скачать файл записной книжки" + +msgid "Sphinx Book Theme" +msgstr "Тема книги Сфинкс" + +msgid "Fullscreen mode" +msgstr "Полноэкранный режим" + +msgid "Edit this page" +msgstr "Редактировать эту страницу" + +msgid "By" +msgstr "По" + +msgid "Copyright" +msgstr "авторское право" + +msgid "Source repository" +msgstr "Исходный репозиторий" + +msgid "previous page" +msgstr "Предыдущая страница" + +msgid "next page" +msgstr "Следующая страница" + +msgid "Toggle navigation" +msgstr "Переключить навигацию" + +msgid "repository" +msgstr "хранилище" + +msgid "suggest edit" +msgstr "предложить редактировать" + +msgid "open issue" +msgstr "открытый вопрос" + +msgid "Launch" +msgstr "Запуск" + +msgid "Print to PDF" +msgstr "Распечатать в PDF" + +msgid "By the" +msgstr "Посредством" + +msgid "Last updated on" +msgstr "Последнее обновление" + +msgid "Download source file" +msgstr "Скачать исходный файл" + +msgid "Download this page" +msgstr "Загрузите эту страницу" diff --git a/v0.2.0/_static/locales/sk/LC_MESSAGES/booktheme.mo b/v0.2.0/_static/locales/sk/LC_MESSAGES/booktheme.mo new file mode 100644 index 0000000000000000000000000000000000000000..59bd0ddfa341477cf5ccfdc88f4c3e6127046f7a GIT binary patch literal 1393 zcmZ9KKWrRD6vijSKyrit=ARHoJeoj?1A-``v#uc6mLesxmAg<-Am(Iw==v>7a08THd<;rm`=IpY4k&eh2g>u`gW~ryD0Tk|O5J~fa_(Nc zzXDUK|0PiBy9|o{Iw-jZpgi{xC@mLFS&OFRlMGV#=>h3w2I;R1(UBqg;w6239ut!4 z2~6=jJ)|#^@o`MFWBGp7wHbaCb5`#=8`;KyKjqAuERSl#ePRozQ?f4d$hk4?nu1TZ zgR6YP4{gTW1S)mLYBMzv(*G~Fs-g&qXSOtPDXSYgM5@YEM^4FEtSg)3YP-Y%ZOMdC zvD)#*Ld4O|#+Dj1ex6GgOmu#x24!ySK3$V+!<;9qmRA}zH4R;s6--u7O{SxPiRJy+ zq;ulan3SHU##L?XQ}Ut8GDb>9C5YnoIEmfsY4-#60ct&J{JY}cT{?GeUcb3{a{tPk zZ+F_pc89Z)dlV7it+LR@u2Yh0A2{}J54XBkPtJL5!!G;orcGRGY}TWzBNIC}w9P8? zwMSvx*(oZoi|&^5lh7kuE|;PI&N?-J`)^o!txs1juXogY6?)ZEJ1#xCtJU@>=)Bnr zU1l0t--9arjh>CyA! zZ|R}^TYP-iOeo=k_sEUBK5*0V4ADZtsjcUv$Fb6dIjHA}(Ucy4hGb%cXdqT-thpkjw8w z94mEnM;EAFODWoF<;0UM`ZS%T+8S2)Skfe~=jnmos~5@rll9m4U7_dmM!H@|Co1(H Di}h+h literal 0 HcmV?d00001 diff --git a/v0.2.0/_static/locales/sk/LC_MESSAGES/booktheme.po b/v0.2.0/_static/locales/sk/LC_MESSAGES/booktheme.po new file mode 100644 index 00000000..f6c423b6 --- /dev/null +++ b/v0.2.0/_static/locales/sk/LC_MESSAGES/booktheme.po @@ -0,0 +1,75 @@ + +msgid "" +msgstr "" +"Project-Id-Version: Sphinx-Book-Theme\n" +"MIME-Version: 1.0\n" +"Content-Type: text/plain; charset=UTF-8\n" +"Content-Transfer-Encoding: 8bit\n" +"Language: sk\n" +"Plural-Forms: nplurals=2; plural=(n != 1);\n" + +msgid "Theme by the" +msgstr "Téma od" + +msgid "Open an issue" +msgstr "Otvorte problém" + +msgid "Contents" +msgstr "Obsah" + +msgid "Download notebook file" +msgstr "Stiahnite si zošit" + +msgid "Sphinx Book Theme" +msgstr "Téma knihy Sfinga" + +msgid "Fullscreen mode" +msgstr "Režim celej obrazovky" + +msgid "Edit this page" +msgstr "Upraviť túto stránku" + +msgid "By" +msgstr "Autor:" + +msgid "Copyright" +msgstr "Autorské práva" + +msgid "Source repository" +msgstr "Zdrojové úložisko" + +msgid "previous page" +msgstr "predchádzajúca strana" + +msgid "next page" +msgstr "ďalšia strana" + +msgid "Toggle navigation" +msgstr "Prepnúť navigáciu" + +msgid "repository" +msgstr "Úložisko" + +msgid "suggest edit" +msgstr "navrhnúť úpravu" + +msgid "open issue" +msgstr "otvorené vydanie" + +msgid "Launch" +msgstr "Spustiť" + +msgid "Print to PDF" +msgstr "Tlač do PDF" + +msgid "By the" +msgstr "Podľa" + +msgid "Last updated on" +msgstr "Posledná aktualizácia dňa" + +msgid "Download source file" +msgstr "Stiahnite si zdrojový súbor" + +msgid "Download this page" +msgstr "Stiahnite si túto stránku" diff --git a/v0.2.0/_static/locales/sl/LC_MESSAGES/booktheme.mo b/v0.2.0/_static/locales/sl/LC_MESSAGES/booktheme.mo new file mode 100644 index 0000000000000000000000000000000000000000..87bf26de683cb18c73bd23c2b4c57ef6a02545ec GIT binary patch literal 1374 zcmZ9KyKfXR5XQ}$9PjWFC=#aOAvj*5h%UN@MVlwf1j4YtMW$vtK7Sz7QA(F{dy;VIIMJx(*A* z*7ZW*5ffN8gWJKa;9hV7oB|Jk$H0AH8=M61fIC3~cY(3y6OjEp2X}z4!0q5`a1Z#l z=EvIprQUx7Io@xu0dCk(-QNlFehOqi$H8~tMQ{`NqvlU=3--Uk-Qc>7LL34o!NcHb zkab@J`TGNq^T|Ly_ZVc|FG1Eh0$KkXa4+~CYpSj^k88a!&*8idy!V z`%t7QK_wv*NO67Y#^!v|yiY#BTT52)n;gGcMsD1kzd5`1{rs78jk>VS#g&{|GD5)F z+$e2lWVfe$pxC~*IM2jgT5~@lP4MDpz zCx-(XW@_w<9uAzh?%#>APv}sH5H9X{E*5diD#H~rZm5EBHe?#D`0z|yaZ3$VV*3d1 zf=gV-^ojji64%jMWljW5^x#&@4 literal 0 HcmV?d00001 diff --git a/v0.2.0/_static/locales/sl/LC_MESSAGES/booktheme.po b/v0.2.0/_static/locales/sl/LC_MESSAGES/booktheme.po new file mode 100644 index 00000000..9822dc58 --- /dev/null +++ b/v0.2.0/_static/locales/sl/LC_MESSAGES/booktheme.po @@ -0,0 +1,75 @@ + +msgid "" +msgstr "" +"Project-Id-Version: Sphinx-Book-Theme\n" +"MIME-Version: 1.0\n" +"Content-Type: text/plain; charset=UTF-8\n" +"Content-Transfer-Encoding: 8bit\n" +"Language: sl\n" +"Plural-Forms: nplurals=2; plural=(n != 1);\n" + +msgid "Theme by the" +msgstr "Tema avtorja" + +msgid "Open an issue" +msgstr "Odprite številko" + +msgid "Contents" +msgstr "Vsebina" + +msgid "Download notebook file" +msgstr "Prenesite datoteko zvezka" + +msgid "Sphinx Book Theme" +msgstr "Tema knjige Sphinx" + +msgid "Fullscreen mode" +msgstr "Celozaslonski način" + +msgid "Edit this page" +msgstr "Uredite to stran" + +msgid "By" +msgstr "Avtor" + +msgid "Copyright" +msgstr "avtorske pravice" + +msgid "Source repository" +msgstr "Izvorno skladišče" + +msgid "previous page" +msgstr "Prejšnja stran" + +msgid "next page" +msgstr "Naslednja stran" + +msgid "Toggle navigation" +msgstr "Preklopi navigacijo" + +msgid "repository" +msgstr "odlagališče" + +msgid "suggest edit" +msgstr "predlagajte urejanje" + +msgid "open issue" +msgstr "odprto vprašanje" + +msgid "Launch" +msgstr "Kosilo" + +msgid "Print to PDF" +msgstr "Natisni v PDF" + +msgid "By the" +msgstr "Avtor" + +msgid "Last updated on" +msgstr "Nazadnje posodobljeno dne" + +msgid "Download source file" +msgstr "Prenesite izvorno datoteko" + +msgid "Download this page" +msgstr "Prenesite to stran" diff --git a/v0.2.0/_static/locales/sr/LC_MESSAGES/booktheme.mo b/v0.2.0/_static/locales/sr/LC_MESSAGES/booktheme.mo new file mode 100644 index 0000000000000000000000000000000000000000..ec740f4852f3973fa72ed0c7f7cf59273b8dba41 GIT binary patch literal 1679 zcmZ{i&2Jk;7>5TMpf#n12FigTrXZCM$qB70R5|j2(nPA%iiifpt=iZVd#SU#+K*9wix4UV%CCk|YD;tzleJn!xzyAg~$`^-$R zf|BP7d;(sF`{57pDcCFcOL6{NvA++c-k-1p_w32;FeHVeLgQ7^hJ zGdzy`B&?ZThjG)5bl^0MnyI@nssG*1CaqRf3ytygl3zFKtP{mL3F=O4>e~0%Ctj_o z-VO+GJncqNV$@vddL;4n-04|$KCc&=z>nP650};Xpy_&-^(oOd-!w}`WnaCJdz$wf zjh4}#bIENuu}cxpT#j>fzSPN!1fjX)`bi;sBz=@L8U~dHCrI%>FtxaRre1!}gb~>) zID-xfGsC|hn|!@gG`2jy9GHrZ5ik|B9M_xHwWbqBCa%6aKU+RIj0+tv zS~OvK#;f^t*K1Vt$ptqqoproMLSHL73QKdXBy?KkSwCEgD%uOOZB#uzt@CB|6;B_j z>SM1?mz2F>J33uW*U}Z+wmY_)ohZA>uESZ+w$lw|zev~9H9JUG(p9@{2io4t;AJmR@7g|5U2Qwul5jS5J6+fI7K$b?*B^Gym(vvm#N%kCu@EWomq3c>6awm HD*E*gL}ZXP literal 0 HcmV?d00001 diff --git a/v0.2.0/_static/locales/sr/LC_MESSAGES/booktheme.po b/v0.2.0/_static/locales/sr/LC_MESSAGES/booktheme.po new file mode 100644 index 00000000..e809230c --- /dev/null +++ b/v0.2.0/_static/locales/sr/LC_MESSAGES/booktheme.po @@ -0,0 +1,75 @@ + +msgid "" +msgstr "" +"Project-Id-Version: Sphinx-Book-Theme\n" +"MIME-Version: 1.0\n" +"Content-Type: text/plain; charset=UTF-8\n" +"Content-Transfer-Encoding: 8bit\n" +"Language: sr\n" +"Plural-Forms: nplurals=2; plural=(n != 1);\n" + +msgid "Theme by the" +msgstr "Тхеме би" + +msgid "Open an issue" +msgstr "Отворите издање" + +msgid "Contents" +msgstr "Садржај" + +msgid "Download notebook file" +msgstr "Преузмите датотеку бележнице" + +msgid "Sphinx Book Theme" +msgstr "Тема књиге Спхинк" + +msgid "Fullscreen mode" +msgstr "Режим целог екрана" + +msgid "Edit this page" +msgstr "Уредите ову страницу" + +msgid "By" +msgstr "Од стране" + +msgid "Copyright" +msgstr "Ауторско право" + +msgid "Source repository" +msgstr "Изворно спремиште" + +msgid "previous page" +msgstr "Претходна страница" + +msgid "next page" +msgstr "Следећа страна" + +msgid "Toggle navigation" +msgstr "Укључи / искључи навигацију" + +msgid "repository" +msgstr "спремиште" + +msgid "suggest edit" +msgstr "предложи уређивање" + +msgid "open issue" +msgstr "отворено издање" + +msgid "Launch" +msgstr "Лансирање" + +msgid "Print to PDF" +msgstr "Испис у ПДФ" + +msgid "By the" +msgstr "Од" + +msgid "Last updated on" +msgstr "Последње ажурирање" + +msgid "Download source file" +msgstr "Преузми изворну датотеку" + +msgid "Download this page" +msgstr "Преузмите ову страницу" diff --git a/v0.2.0/_static/locales/sv/LC_MESSAGES/booktheme.mo b/v0.2.0/_static/locales/sv/LC_MESSAGES/booktheme.mo new file mode 100644 index 0000000000000000000000000000000000000000..b07dc76ff21128244172d2e415cc899555d8b49d GIT binary patch literal 1365 zcmZ9Ky>App7{XZ}|d=zQVMY>d0>TJUwK!GS|siLHd(&c$~H~3(*Gryg$_j%@>d3o;WBZ2ZE>JsWR z)Jv%M7to-bct;3);v|}P!BgM~@H}`DTmmnGm%$If0eB9)11^FDo&i(GpFxiE5Ihb3 z0-geY1>Xk`IzH{jUv&LfAnW}L_P`@Y+Wm_l_m@D9a|Qez{0hWU@h8Z7e}laLACT8A z9Bq9sg6#KG@FQ>;^|ue&MB7Xc{&_$WV4fmrpPUX_NMBC1d<&HLVI2>ISM)cNT zDs_}z6(rVjoe=u}?s{cR90ejPCoU&(OT{EBpQ}W+2Kkatlh7xu)KFSXs3tL$x9(u73Q%I)?{Lst}rq*YU0sH7ocX*ad*9P6|q zKG0OVs2vT8zb&|U%F`w^(-Z1 zKF^i36kcC+hKrsX9@jHt-W)0~UWJ0RHRwJIJFG|WNq7Z50sn;0!@U&o7(5PV;9F4M{{RobKj41& z@a;;?!xtbeX@>OX{(5y6M3y47A9wJS8l@l7I~meb8I-3U@UzelnM(bH_d|LjeI~u4 zB&Ck5^3z4%s2P{8W=Y&H)T}#g2QKPq>k6~t+?)DDGB7*axf^C(bKPdqPja0`u~Boq zq#)vWxe(=r9;UshFg@+8T8M_W+gC58#_GuGB+rLNEoOcl%M6n_~Kv<@xsE9lI>D`3aM?=WN&Y5*v5);gzIlEkrgR(mY~Bt;NAGiw5m^ zmz~Tz+NOS)Pd_uI!*qJT)%&LPp{J%=sw%gu@~f)+wA%QnDo0iMT~%)Q%}sWAT~-@s zt8&XvWPPzJFLmFFj3kCLZVZKXbJg6qObpgpYXhKc{dPQvXD4*l1`&-oR|ZVWnD5S zLMPGk+4yL_MW)wWJ7GI+sWh)Cq}dE7ao%TGqX8uPK%$P%oUIVNaozG6uhIA~XTs-( z77E8j3VKIkNhd=@QrBItuMs9x^kr3kK4HautE;{2cexG}GQN=#P4;o6q{&7}8xZ++ zl w$ZZQ&WaeX;?9mtGBq&}escqTfGyJc(*W8(47(T)#0?{xcP9tpFr||Or2L57y?*IS* literal 0 HcmV?d00001 diff --git a/v0.2.0/_static/locales/ta/LC_MESSAGES/booktheme.po b/v0.2.0/_static/locales/ta/LC_MESSAGES/booktheme.po new file mode 100644 index 00000000..500042f4 --- /dev/null +++ b/v0.2.0/_static/locales/ta/LC_MESSAGES/booktheme.po @@ -0,0 +1,66 @@ + +msgid "" +msgstr "" +"Project-Id-Version: Sphinx-Book-Theme\n" +"MIME-Version: 1.0\n" +"Content-Type: text/plain; charset=UTF-8\n" +"Content-Transfer-Encoding: 8bit\n" +"Language: ta\n" +"Plural-Forms: nplurals=2; plural=(n != 1);\n" + +msgid "Theme by the" +msgstr "வழங்கிய தீம்" + +msgid "Open an issue" +msgstr "சிக்கலைத் திறக்கவும்" + +msgid "Download notebook file" +msgstr "நோட்புக் கோப்பைப் பதிவிறக்கவும்" + +msgid "Sphinx Book Theme" +msgstr "ஸ்பிங்க்ஸ் புத்தக தீம்" + +msgid "Edit this page" +msgstr "இந்தப் பக்கத்தைத் திருத்தவும்" + +msgid "By" +msgstr "வழங்கியவர்" + +msgid "Copyright" +msgstr "பதிப்புரிமை" + +msgid "Source repository" +msgstr "மூல களஞ்சியம்" + +msgid "previous page" +msgstr "முந்தைய பக்கம்" + +msgid "next page" +msgstr "அடுத்த பக்கம்" + +msgid "Toggle navigation" +msgstr "வழிசெலுத்தலை நிலைமாற்று" + +msgid "suggest edit" +msgstr "திருத்த பரிந்துரைக்கவும்" + +msgid "open issue" +msgstr "திறந்த பிரச்சினை" + +msgid "Launch" +msgstr "தொடங்க" + +msgid "Print to PDF" +msgstr "PDF இல் அச்சிடுக" + +msgid "By the" +msgstr "மூலம்" + +msgid "Last updated on" +msgstr "கடைசியாக புதுப்பிக்கப்பட்டது" + +msgid "Download source file" +msgstr "மூல கோப்பைப் பதிவிறக்குக" + +msgid "Download this page" +msgstr "இந்தப் பக்கத்தைப் பதிவிறக்கவும்" diff --git a/v0.2.0/_static/locales/te/LC_MESSAGES/booktheme.mo b/v0.2.0/_static/locales/te/LC_MESSAGES/booktheme.mo new file mode 100644 index 0000000000000000000000000000000000000000..0a5f4b46adfda1551ae6791c3c3782525b61be04 GIT binary patch literal 1806 zcmbu8?`s@I7{^DgzpiR+74e1QD2kPOYU&G1LO_}((2{DPsaEjK=5D&TdYxHz_mbva zT2L$M3z1kXg(AcfwAS4~Neb5f0lujqQV?VieD5FN3qLcn=UrpK7cRH^*?DH3U*CQ1 zw_V$o1=qvek8yv`{W$mAxAEY*0dI#t!Motk@Lu>Ud<6aho$p_87u?C=2jJ6i2YeYi zzX^ChJOuB9$KXz=YA)3F59{^k(B)Z$4Y&rK|263Re}o(GCUki}y(4f1KFWF>z6o!@ z*Wm7LLQKL1xEEf7ufjj!vvA~2A@;zx;Pdc3_zYZw?)**o1l&$Dhu|Lg6r6|7{snaU zU4^f}Um%kFbGaHHtXJD1WeGz1>mHu2N2iC=&RtGZchR1B$iD?W+^g&V?%L)waXOPu z(25ZI7x~Geqr`+s7qcYp6yktc&|MR?r8b3{Gv-}+Jn5=|IXAtmr8XIhPLj(sij|mb zCj}Av%jqaDWG`(;g=$Nq#dOrut&Vs-Ra!<`CVAddVkS#8PDaigm=Z@q{7j`LPYRPQ ziX&+!(I@48SIcZiolwF*xU=VM^?@zFv*l@L zDz6jwvaMLG-4f{crQm*REN}ghN#a8coKPu>p z%YTFt$m|qAXTDh&g5gT~hljsJ*ry=A+<9Nb1sA(o5-xGw{Z;?6OlS@gI#jemLQG%z zrpf6>XY=H3-bW;Qrf>v2>%ZN4n4aM|U<|2-ZBn^mBghuhM0)Dv2+@ei()B(V2&(za uuMrF7ToguSy%w`N&3+IHSt#2LVBfiP)B5iT;9Jx)h5&elIS4O(ZT|-CPABOA literal 0 HcmV?d00001 diff --git a/v0.2.0/_static/locales/te/LC_MESSAGES/booktheme.po b/v0.2.0/_static/locales/te/LC_MESSAGES/booktheme.po new file mode 100644 index 00000000..b1afebba --- /dev/null +++ b/v0.2.0/_static/locales/te/LC_MESSAGES/booktheme.po @@ -0,0 +1,66 @@ + +msgid "" +msgstr "" +"Project-Id-Version: Sphinx-Book-Theme\n" +"MIME-Version: 1.0\n" +"Content-Type: text/plain; charset=UTF-8\n" +"Content-Transfer-Encoding: 8bit\n" +"Language: te\n" +"Plural-Forms: nplurals=2; plural=(n != 1);\n" + +msgid "Theme by the" +msgstr "ద్వారా థీమ్" + +msgid "Open an issue" +msgstr "సమస్యను తెరవండి" + +msgid "Download notebook file" +msgstr "నోట్బుక్ ఫైల్ను డౌన్లోడ్ చేయండి" + +msgid "Sphinx Book Theme" +msgstr "సింహిక పుస్తక థీమ్" + +msgid "Edit this page" +msgstr "ఈ పేజీని సవరించండి" + +msgid "By" +msgstr "ద్వారా" + +msgid "Copyright" +msgstr "కాపీరైట్" + +msgid "Source repository" +msgstr "మూల రిపోజిటరీ" + +msgid "previous page" +msgstr "ముందు పేజి" + +msgid "next page" +msgstr "తరువాతి పేజీ" + +msgid "Toggle navigation" +msgstr "నావిగేషన్‌ను టోగుల్ చేయండి" + +msgid "suggest edit" +msgstr "సవరించమని సూచించండి" + +msgid "open issue" +msgstr "ఓపెన్ ఇష్యూ" + +msgid "Launch" +msgstr "ప్రారంభించండి" + +msgid "Print to PDF" +msgstr "PDF కి ముద్రించండి" + +msgid "By the" +msgstr "ద్వారా" + +msgid "Last updated on" +msgstr "చివరిగా నవీకరించబడింది" + +msgid "Download source file" +msgstr "మూల ఫైల్‌ను డౌన్‌లోడ్ చేయండి" + +msgid "Download this page" +msgstr "ఈ పేజీని డౌన్‌లోడ్ చేయండి" diff --git a/v0.2.0/_static/locales/tg/LC_MESSAGES/booktheme.mo b/v0.2.0/_static/locales/tg/LC_MESSAGES/booktheme.mo new file mode 100644 index 0000000000000000000000000000000000000000..b21c6c6340194fdf35f7e5660deb42479c8dbff9 GIT binary patch literal 1628 zcmaiyO^6gn6vxZY=tNE8S5Q|hA#9RE$8XSGCI@vF1jR*HLCB?drtIlBTh(+|t9#pZ z_b^Dr#19Y@K@`-J?Yg?{x;qOwd8{6D@{o&%oP^*d#K?f}Wpw_pnH1Q&v@ z3%&tK*FWF}u!PNBU}wRfz%8&Zfe!dP_zn0sxE@@yD9?KJ9kAteKMU^WF zJC>CiI~?GEE4d#GJ20M-!R?)~ z>>S<1-6l7a<}oHySZKVs&CQhc{Mbyqb88w7X3RqzI{&F#*USvhMoiLrM6s>Hk4E|6 zc@o%qM9F2t?V4KSrinZf?58}t0JXzb84{b#Mr}$-{y{=+V#Xn)X(lNzTPtR6wl32O zGdJL5Bs-5oxB+T`zIGRrAt`^lPLZT?M?g!0angPB{%GR5vxHp0oR8Arqi zbZiRp&%w__8!lf*NbDpe;WA2%r?Xi$atSF8VXr;q_FB@_W_A(5kPfr&0p+;^8?eY= pg1vVOUqyoB&tBYSn9xh&7BjPW`v%MukJU629MMs5Ow+8v{s(GpYQg{j literal 0 HcmV?d00001 diff --git a/v0.2.0/_static/locales/tg/LC_MESSAGES/booktheme.po b/v0.2.0/_static/locales/tg/LC_MESSAGES/booktheme.po new file mode 100644 index 00000000..29b8237b --- /dev/null +++ b/v0.2.0/_static/locales/tg/LC_MESSAGES/booktheme.po @@ -0,0 +1,75 @@ + +msgid "" +msgstr "" +"Project-Id-Version: Sphinx-Book-Theme\n" +"MIME-Version: 1.0\n" +"Content-Type: text/plain; charset=UTF-8\n" +"Content-Transfer-Encoding: 8bit\n" +"Language: tg\n" +"Plural-Forms: nplurals=2; plural=(n != 1);\n" + +msgid "Theme by the" +msgstr "Мавзӯъи аз" + +msgid "Open an issue" +msgstr "Масъаларо кушоед" + +msgid "Contents" +msgstr "Мундариҷа" + +msgid "Download notebook file" +msgstr "Файли дафтарро зеркашӣ кунед" + +msgid "Sphinx Book Theme" +msgstr "Сфинкс Мавзӯи китоб" + +msgid "Fullscreen mode" +msgstr "Ҳолати экрани пурра" + +msgid "Edit this page" +msgstr "Ин саҳифаро таҳрир кунед" + +msgid "By" +msgstr "Бо" + +msgid "Copyright" +msgstr "Ҳуқуқи муаллиф" + +msgid "Source repository" +msgstr "Анбори манбаъ" + +msgid "previous page" +msgstr "саҳифаи қаблӣ" + +msgid "next page" +msgstr "саҳифаи оянда" + +msgid "Toggle navigation" +msgstr "Гузаришро иваз кунед" + +msgid "repository" +msgstr "анбор" + +msgid "suggest edit" +msgstr "пешниҳод вироиш" + +msgid "open issue" +msgstr "барориши кушод" + +msgid "Launch" +msgstr "Оғоз" + +msgid "Print to PDF" +msgstr "Чоп ба PDF" + +msgid "By the" +msgstr "Бо" + +msgid "Last updated on" +msgstr "Last навсозӣ дар" + +msgid "Download source file" +msgstr "Файли манбаъро зеркашӣ кунед" + +msgid "Download this page" +msgstr "Ин саҳифаро зеркашӣ кунед" diff --git a/v0.2.0/_static/locales/th/LC_MESSAGES/booktheme.mo b/v0.2.0/_static/locales/th/LC_MESSAGES/booktheme.mo new file mode 100644 index 0000000000000000000000000000000000000000..abede98aa11b163e580a26b545980ace31e61ccf GIT binary patch literal 1766 zcma)*-)|K~6vqcarB^@&)CU_K663GrYB9uM>wQ7mgal$EMW46#4trN`XEwWgD~&H; 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z$~?F1e_~CYdU3r0$=I6uq5ePVO_Bn=P}riFSZ}qf6oE57w5w3K+FoX+hEW?y<4|&p zx|p)Aw=sGx%}Vw#el49X^(ARiaRizwH+vA!fH?=_BQ=JATO9Uo!rm6_g(Z9Fvrf~J ziFzY}!KTjO`w9hS|3mkKY2Z8hBsWpwH*$FgF5fip{lMp#&N|*Vkp4MHrJJsNw1%8D c^9?3>eEmE8GP@z_uy-`khW>?G>aA{%rxd0lq5uE@ literal 0 HcmV?d00001 diff --git a/v0.2.0/_static/locales/ur/LC_MESSAGES/booktheme.po b/v0.2.0/_static/locales/ur/LC_MESSAGES/booktheme.po new file mode 100644 index 00000000..94bcab33 --- /dev/null +++ b/v0.2.0/_static/locales/ur/LC_MESSAGES/booktheme.po @@ -0,0 +1,66 @@ + +msgid "" +msgstr "" +"Project-Id-Version: Sphinx-Book-Theme\n" +"MIME-Version: 1.0\n" +"Content-Type: text/plain; charset=UTF-8\n" +"Content-Transfer-Encoding: 8bit\n" +"Language: ur\n" +"Plural-Forms: nplurals=2; plural=(n != 1);\n" + +msgid "Theme by the" +msgstr "کے ذریعہ تھیم" + +msgid "Open an issue" +msgstr "ایک مسئلہ کھولیں" + +msgid "Download notebook file" +msgstr "نوٹ بک فائل ڈاؤن لوڈ کریں" + +msgid "Sphinx Book Theme" +msgstr "سپنکس بک تھیم" + +msgid "Edit this page" +msgstr "اس صفحے میں ترمیم کریں" + +msgid "By" +msgstr "بذریعہ" + +msgid "Copyright" +msgstr "کاپی رائٹ" + +msgid "Source repository" +msgstr "ماخذ ذخیرہ" + +msgid "previous page" +msgstr "سابقہ ​​صفحہ" + +msgid "next page" +msgstr "اگلا صفحہ" + +msgid "Toggle navigation" +msgstr "نیویگیشن ٹوگل کریں" + +msgid "suggest edit" +msgstr "ترمیم کی تجویز کریں" + +msgid "open issue" +msgstr "کھلا مسئلہ" + +msgid "Launch" +msgstr "لانچ کریں" + +msgid "Print to PDF" +msgstr "پی ڈی ایف پرنٹ کریں" + +msgid "By the" +msgstr "کی طرف" + +msgid "Last updated on" +msgstr "آخری بار تازہ کاری ہوئی" + +msgid "Download source file" +msgstr "سورس فائل ڈاؤن لوڈ کریں" + +msgid "Download this page" +msgstr "اس صفحے کو ڈاؤن لوڈ کریں" diff --git a/v0.2.0/_static/locales/vi/LC_MESSAGES/booktheme.mo b/v0.2.0/_static/locales/vi/LC_MESSAGES/booktheme.mo new file mode 100644 index 0000000000000000000000000000000000000000..2bb32555c3ea0dab08ed37b71cb863fbe75698c6 GIT binary patch literal 1431 zcmZvb&x;&I6vr#s{2bR9catc(#OK8%htWiG2(!#(H#@MntBVvV&v#)!JFr^_{KP>F`@nJV05}OA1gF4b;9KAkunA6pAA*NK z3BCmSiq}An^CkEqxCxGf--9oMKUe&tTK}_}KL%Ov30MQi#>)GLK%P&59Onf13wRdX z3;qSN-ajCp`xj*0y?e@hC&AY-KMlSLE>x7&{%7EEtZ#xGrw?+zzkx4+4=O$aInLi8 z=P?fP6X0=>=PmFs_%X6t9{djXqq7H;REU`#e&m%Dv(|WNyu(A%OLe5YIB!2Su?;$8te4By zUZxct%bjIsvow_dS@cRfN`gp=xsLV-{cPIG;@E|$l!jJqM~a2OdCHPb;AMxb!8|je z5+5Wu5E#l0;esOMR|IFK`YgJ+E?Oq}qlDRK7TFmDND~hLNUKno*_5*I#duC ze1pUH?uya95XS7fK6vqb$6da&5d>$e(Tqr%5FL8(*`2r*YiH`^Z>aE(?ll6i#v)Y{nLNAmS zVZLM|@+Cqff{+L(H9>+X*h#n|&YXJarQWrDsNf1G{?EIRgwekJ?VFu>|Np%Cx20*2 zVQfXTBHkmmBW^Fl3uEes3ZOb zQk?;C9XJZE1)qXHfzuJ+M)Utfc@-qRPhbpOu_D~R9;Cb#q&h!?W$*w<>pw>P43chB zQ^;m;Gx8RY{OyX^7V!v3^?n6uod9Y7@6r5Kko@OC(isEk+)qHNR|2Y~glBh97KqDQIoyw}Q#g=trLPD*?? 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+msgstr "上一頁" + +msgid "next page" +msgstr "下一頁" + +msgid "Toggle navigation" +msgstr "顯示或隱藏導覽列" + +msgid "repository" +msgstr "儲存庫" + +msgid "suggest edit" +msgstr "提出修改建議" + +msgid "open issue" +msgstr "公開的問題" + +msgid "Launch" +msgstr "啟動" + +msgid "Print to PDF" +msgstr "列印成 PDF" + +msgid "By the" +msgstr "作者:" + +msgid "Last updated on" +msgstr "最後更新時間:" + +msgid "Download source file" +msgstr "下載原始檔" + +msgid "Download this page" +msgstr "下載此頁面" diff --git a/v0.2.0/_static/minus.png b/v0.2.0/_static/minus.png new file mode 100644 index 0000000000000000000000000000000000000000..d96755fdaf8bb2214971e0db9c1fd3077d7c419d GIT binary patch literal 90 zcmeAS@N?(olHy`uVBq!ia0vp^+#t*WBp7;*Yy1LIik>cxAr*|t7R?Mi>2?kWtu=nj kDsEF_5m^0CR;1wuP-*O&G^0G}KYk!hp00i_>zopr08q^qX#fBK literal 0 HcmV?d00001 diff --git a/v0.2.0/_static/plus.png b/v0.2.0/_static/plus.png new file mode 100644 index 0000000000000000000000000000000000000000..7107cec93a979b9a5f64843235a16651d563ce2d GIT binary patch literal 90 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e},we={find:(t,e=document.documentElement)=>[].concat(...Element.prototype.querySelectorAll.call(e,t)),findOne:(t,e=document.documentElement)=>Element.prototype.querySelector.call(e,t),children:(t,e)=>[].concat(...t.children).filter((t=>t.matches(e))),parents(t,e){const i=[];let n=t.parentNode.closest(e);for(;n;)i.push(n),n=n.parentNode.closest(e);return i},prev(t,e){let i=t.previousElementSibling;for(;i;){if(i.matches(e))return[i];i=i.previousElementSibling}return[]},next(t,e){let i=t.nextElementSibling;for(;i;){if(i.matches(e))return[i];i=i.nextElementSibling}return[]},focusableChildren(t){const e=["a","button","input","textarea","select","details","[tabindex]",'[contenteditable="true"]'].map((t=>`${t}:not([tabindex^="-"])`)).join(",");return this.find(e,t).filter((t=>!Wt(t)&&Bt(t)))},getSelectorFromElement(t){const e=ye(t);return e&&we.findOne(e)?e:null},getElementFromSelector(t){const e=ye(t);return e?we.findOne(e):null},getMultipleElementsFromSelector(t){const e=ye(t);return e?we.find(e):[]}},Ee=(t,e="hide")=>{const i=`click.dismiss${t.EVENT_KEY}`,n=t.NAME;fe.on(document,i,`[data-bs-dismiss="${n}"]`,(function(i){if(["A","AREA"].includes(this.tagName)&&i.preventDefault(),Wt(this))return;const s=we.getElementFromSelector(this)||this.closest(`.${n}`);t.getOrCreateInstance(s)[e]()}))},Ae=".bs.alert",Te=`close${Ae}`,Ce=`closed${Ae}`;class Oe extends ve{static get NAME(){return"alert"}close(){if(fe.trigger(this._element,Te).defaultPrevented)return;this._element.classList.remove("show");const t=this._element.classList.contains("fade");this._queueCallback((()=>this._destroyElement()),this._element,t)}_destroyElement(){this._element.remove(),fe.trigger(this._element,Ce),this.dispose()}static jQueryInterface(t){return this.each((function(){const e=Oe.getOrCreateInstance(this);if("string"==typeof t){if(void 0===e[t]||t.startsWith("_")||"constructor"===t)throw new TypeError(`No method named "${t}"`);e[t](this)}}))}}Ee(Oe,"close"),Qt(Oe);const xe='[data-bs-toggle="button"]';class ke extends ve{static get NAME(){return"button"}toggle(){this._element.setAttribute("aria-pressed",this._element.classList.toggle("active"))}static jQueryInterface(t){return this.each((function(){const e=ke.getOrCreateInstance(this);"toggle"===t&&e[t]()}))}}fe.on(document,"click.bs.button.data-api",xe,(t=>{t.preventDefault();const e=t.target.closest(xe);ke.getOrCreateInstance(e).toggle()})),Qt(ke);const Le=".bs.swipe",Se=`touchstart${Le}`,De=`touchmove${Le}`,$e=`touchend${Le}`,Ie=`pointerdown${Le}`,Ne=`pointerup${Le}`,Pe={endCallback:null,leftCallback:null,rightCallback:null},Me={endCallback:"(function|null)",leftCallback:"(function|null)",rightCallback:"(function|null)"};class je extends be{constructor(t,e){super(),this._element=t,t&&je.isSupported()&&(this._config=this._getConfig(e),this._deltaX=0,this._supportPointerEvents=Boolean(window.PointerEvent),this._initEvents())}static get Default(){return Pe}static get DefaultType(){return Me}static get NAME(){return"swipe"}dispose(){fe.off(this._element,Le)}_start(t){this._supportPointerEvents?this._eventIsPointerPenTouch(t)&&(this._deltaX=t.clientX):this._deltaX=t.touches[0].clientX}_end(t){this._eventIsPointerPenTouch(t)&&(this._deltaX=t.clientX-this._deltaX),this._handleSwipe(),Xt(this._config.endCallback)}_move(t){this._deltaX=t.touches&&t.touches.length>1?0:t.touches[0].clientX-this._deltaX}_handleSwipe(){const t=Math.abs(this._deltaX);if(t<=40)return;const e=t/this._deltaX;this._deltaX=0,e&&Xt(e>0?this._config.rightCallback:this._config.leftCallback)}_initEvents(){this._supportPointerEvents?(fe.on(this._element,Ie,(t=>this._start(t))),fe.on(this._element,Ne,(t=>this._end(t))),this._element.classList.add("pointer-event")):(fe.on(this._element,Se,(t=>this._start(t))),fe.on(this._element,De,(t=>this._move(t))),fe.on(this._element,$e,(t=>this._end(t))))}_eventIsPointerPenTouch(t){return this._supportPointerEvents&&("pen"===t.pointerType||"touch"===t.pointerType)}static isSupported(){return"ontouchstart"in document.documentElement||navigator.maxTouchPoints>0}}const Fe=".bs.carousel",He=".data-api",Be="next",We="prev",ze="left",Re="right",qe=`slide${Fe}`,Ve=`slid${Fe}`,Ye=`keydown${Fe}`,Ke=`mouseenter${Fe}`,Qe=`mouseleave${Fe}`,Xe=`dragstart${Fe}`,Ue=`load${Fe}${He}`,Ge=`click${Fe}${He}`,Je="carousel",Ze="active",ti=".active",ei=".carousel-item",ii=ti+ei,ni={ArrowLeft:Re,ArrowRight:ze},si={interval:5e3,keyboard:!0,pause:"hover",ride:!1,touch:!0,wrap:!0},oi={interval:"(number|boolean)",keyboard:"boolean",pause:"(string|boolean)",ride:"(boolean|string)",touch:"boolean",wrap:"boolean"};class ri extends ve{constructor(t,e){super(t,e),this._interval=null,this._activeElement=null,this._isSliding=!1,this.touchTimeout=null,this._swipeHelper=null,this._indicatorsElement=we.findOne(".carousel-indicators",this._element),this._addEventListeners(),this._config.ride===Je&&this.cycle()}static get Default(){return si}static get DefaultType(){return oi}static get NAME(){return"carousel"}next(){this._slide(Be)}nextWhenVisible(){!document.hidden&&Bt(this._element)&&this.next()}prev(){this._slide(We)}pause(){this._isSliding&&jt(this._element),this._clearInterval()}cycle(){this._clearInterval(),this._updateInterval(),this._interval=setInterval((()=>this.nextWhenVisible()),this._config.interval)}_maybeEnableCycle(){this._config.ride&&(this._isSliding?fe.one(this._element,Ve,(()=>this.cycle())):this.cycle())}to(t){const e=this._getItems();if(t>e.length-1||t<0)return;if(this._isSliding)return void fe.one(this._element,Ve,(()=>this.to(t)));const i=this._getItemIndex(this._getActive());if(i===t)return;const n=t>i?Be:We;this._slide(n,e[t])}dispose(){this._swipeHelper&&this._swipeHelper.dispose(),super.dispose()}_configAfterMerge(t){return t.defaultInterval=t.interval,t}_addEventListeners(){this._config.keyboard&&fe.on(this._element,Ye,(t=>this._keydown(t))),"hover"===this._config.pause&&(fe.on(this._element,Ke,(()=>this.pause())),fe.on(this._element,Qe,(()=>this._maybeEnableCycle()))),this._config.touch&&je.isSupported()&&this._addTouchEventListeners()}_addTouchEventListeners(){for(const t of we.find(".carousel-item img",this._element))fe.on(t,Xe,(t=>t.preventDefault()));const t={leftCallback:()=>this._slide(this._directionToOrder(ze)),rightCallback:()=>this._slide(this._directionToOrder(Re)),endCallback:()=>{"hover"===this._config.pause&&(this.pause(),this.touchTimeout&&clearTimeout(this.touchTimeout),this.touchTimeout=setTimeout((()=>this._maybeEnableCycle()),500+this._config.interval))}};this._swipeHelper=new je(this._element,t)}_keydown(t){if(/input|textarea/i.test(t.target.tagName))return;const e=ni[t.key];e&&(t.preventDefault(),this._slide(this._directionToOrder(e)))}_getItemIndex(t){return this._getItems().indexOf(t)}_setActiveIndicatorElement(t){if(!this._indicatorsElement)return;const e=we.findOne(ti,this._indicatorsElement);e.classList.remove(Ze),e.removeAttribute("aria-current");const i=we.findOne(`[data-bs-slide-to="${t}"]`,this._indicatorsElement);i&&(i.classList.add(Ze),i.setAttribute("aria-current","true"))}_updateInterval(){const t=this._activeElement||this._getActive();if(!t)return;const e=Number.parseInt(t.getAttribute("data-bs-interval"),10);this._config.interval=e||this._config.defaultInterval}_slide(t,e=null){if(this._isSliding)return;const i=this._getActive(),n=t===Be,s=e||Gt(this._getItems(),i,n,this._config.wrap);if(s===i)return;const o=this._getItemIndex(s),r=e=>fe.trigger(this._element,e,{relatedTarget:s,direction:this._orderToDirection(t),from:this._getItemIndex(i),to:o});if(r(qe).defaultPrevented)return;if(!i||!s)return;const a=Boolean(this._interval);this.pause(),this._isSliding=!0,this._setActiveIndicatorElement(o),this._activeElement=s;const l=n?"carousel-item-start":"carousel-item-end",c=n?"carousel-item-next":"carousel-item-prev";s.classList.add(c),qt(s),i.classList.add(l),s.classList.add(l),this._queueCallback((()=>{s.classList.remove(l,c),s.classList.add(Ze),i.classList.remove(Ze,c,l),this._isSliding=!1,r(Ve)}),i,this._isAnimated()),a&&this.cycle()}_isAnimated(){return this._element.classList.contains("slide")}_getActive(){return we.findOne(ii,this._element)}_getItems(){return we.find(ei,this._element)}_clearInterval(){this._interval&&(clearInterval(this._interval),this._interval=null)}_directionToOrder(t){return Kt()?t===ze?We:Be:t===ze?Be:We}_orderToDirection(t){return Kt()?t===We?ze:Re:t===We?Re:ze}static jQueryInterface(t){return this.each((function(){const e=ri.getOrCreateInstance(this,t);if("number"!=typeof t){if("string"==typeof t){if(void 0===e[t]||t.startsWith("_")||"constructor"===t)throw new TypeError(`No method named "${t}"`);e[t]()}}else e.to(t)}))}}fe.on(document,Ge,"[data-bs-slide], [data-bs-slide-to]",(function(t){const e=we.getElementFromSelector(this);if(!e||!e.classList.contains(Je))return;t.preventDefault();const i=ri.getOrCreateInstance(e),n=this.getAttribute("data-bs-slide-to");return n?(i.to(n),void i._maybeEnableCycle()):"next"===_e.getDataAttribute(this,"slide")?(i.next(),void i._maybeEnableCycle()):(i.prev(),void i._maybeEnableCycle())})),fe.on(window,Ue,(()=>{const t=we.find('[data-bs-ride="carousel"]');for(const e of t)ri.getOrCreateInstance(e)})),Qt(ri);const ai=".bs.collapse",li=`show${ai}`,ci=`shown${ai}`,hi=`hide${ai}`,di=`hidden${ai}`,ui=`click${ai}.data-api`,fi="show",pi="collapse",mi="collapsing",gi=`:scope .${pi} .${pi}`,_i='[data-bs-toggle="collapse"]',bi={parent:null,toggle:!0},vi={parent:"(null|element)",toggle:"boolean"};class yi extends ve{constructor(t,e){super(t,e),this._isTransitioning=!1,this._triggerArray=[];const i=we.find(_i);for(const t of i){const e=we.getSelectorFromElement(t),i=we.find(e).filter((t=>t===this._element));null!==e&&i.length&&this._triggerArray.push(t)}this._initializeChildren(),this._config.parent||this._addAriaAndCollapsedClass(this._triggerArray,this._isShown()),this._config.toggle&&this.toggle()}static get Default(){return bi}static get DefaultType(){return vi}static get NAME(){return"collapse"}toggle(){this._isShown()?this.hide():this.show()}show(){if(this._isTransitioning||this._isShown())return;let t=[];if(this._config.parent&&(t=this._getFirstLevelChildren(".collapse.show, .collapse.collapsing").filter((t=>t!==this._element)).map((t=>yi.getOrCreateInstance(t,{toggle:!1})))),t.length&&t[0]._isTransitioning)return;if(fe.trigger(this._element,li).defaultPrevented)return;for(const e of t)e.hide();const e=this._getDimension();this._element.classList.remove(pi),this._element.classList.add(mi),this._element.style[e]=0,this._addAriaAndCollapsedClass(this._triggerArray,!0),this._isTransitioning=!0;const i=`scroll${e[0].toUpperCase()+e.slice(1)}`;this._queueCallback((()=>{this._isTransitioning=!1,this._element.classList.remove(mi),this._element.classList.add(pi,fi),this._element.style[e]="",fe.trigger(this._element,ci)}),this._element,!0),this._element.style[e]=`${this._element[i]}px`}hide(){if(this._isTransitioning||!this._isShown())return;if(fe.trigger(this._element,hi).defaultPrevented)return;const t=this._getDimension();this._element.style[t]=`${this._element.getBoundingClientRect()[t]}px`,qt(this._element),this._element.classList.add(mi),this._element.classList.remove(pi,fi);for(const t of this._triggerArray){const e=we.getElementFromSelector(t);e&&!this._isShown(e)&&this._addAriaAndCollapsedClass([t],!1)}this._isTransitioning=!0,this._element.style[t]="",this._queueCallback((()=>{this._isTransitioning=!1,this._element.classList.remove(mi),this._element.classList.add(pi),fe.trigger(this._element,di)}),this._element,!0)}_isShown(t=this._element){return t.classList.contains(fi)}_configAfterMerge(t){return t.toggle=Boolean(t.toggle),t.parent=Ht(t.parent),t}_getDimension(){return this._element.classList.contains("collapse-horizontal")?"width":"height"}_initializeChildren(){if(!this._config.parent)return;const t=this._getFirstLevelChildren(_i);for(const e of t){const t=we.getElementFromSelector(e);t&&this._addAriaAndCollapsedClass([e],this._isShown(t))}}_getFirstLevelChildren(t){const e=we.find(gi,this._config.parent);return we.find(t,this._config.parent).filter((t=>!e.includes(t)))}_addAriaAndCollapsedClass(t,e){if(t.length)for(const i of t)i.classList.toggle("collapsed",!e),i.setAttribute("aria-expanded",e)}static jQueryInterface(t){const e={};return"string"==typeof t&&/show|hide/.test(t)&&(e.toggle=!1),this.each((function(){const i=yi.getOrCreateInstance(this,e);if("string"==typeof t){if(void 0===i[t])throw new TypeError(`No method named "${t}"`);i[t]()}}))}}fe.on(document,ui,_i,(function(t){("A"===t.target.tagName||t.delegateTarget&&"A"===t.delegateTarget.tagName)&&t.preventDefault();for(const t of we.getMultipleElementsFromSelector(this))yi.getOrCreateInstance(t,{toggle:!1}).toggle()})),Qt(yi);const wi="dropdown",Ei=".bs.dropdown",Ai=".data-api",Ti="ArrowUp",Ci="ArrowDown",Oi=`hide${Ei}`,xi=`hidden${Ei}`,ki=`show${Ei}`,Li=`shown${Ei}`,Si=`click${Ei}${Ai}`,Di=`keydown${Ei}${Ai}`,$i=`keyup${Ei}${Ai}`,Ii="show",Ni='[data-bs-toggle="dropdown"]:not(.disabled):not(:disabled)',Pi=`${Ni}.${Ii}`,Mi=".dropdown-menu",ji=Kt()?"top-end":"top-start",Fi=Kt()?"top-start":"top-end",Hi=Kt()?"bottom-end":"bottom-start",Bi=Kt()?"bottom-start":"bottom-end",Wi=Kt()?"left-start":"right-start",zi=Kt()?"right-start":"left-start",Ri={autoClose:!0,boundary:"clippingParents",display:"dynamic",offset:[0,2],popperConfig:null,reference:"toggle"},qi={autoClose:"(boolean|string)",boundary:"(string|element)",display:"string",offset:"(array|string|function)",popperConfig:"(null|object|function)",reference:"(string|element|object)"};class Vi extends ve{constructor(t,e){super(t,e),this._popper=null,this._parent=this._element.parentNode,this._menu=we.next(this._element,Mi)[0]||we.prev(this._element,Mi)[0]||we.findOne(Mi,this._parent),this._inNavbar=this._detectNavbar()}static get Default(){return Ri}static get DefaultType(){return qi}static get NAME(){return wi}toggle(){return this._isShown()?this.hide():this.show()}show(){if(Wt(this._element)||this._isShown())return;const t={relatedTarget:this._element};if(!fe.trigger(this._element,ki,t).defaultPrevented){if(this._createPopper(),"ontouchstart"in document.documentElement&&!this._parent.closest(".navbar-nav"))for(const t of[].concat(...document.body.children))fe.on(t,"mouseover",Rt);this._element.focus(),this._element.setAttribute("aria-expanded",!0),this._menu.classList.add(Ii),this._element.classList.add(Ii),fe.trigger(this._element,Li,t)}}hide(){if(Wt(this._element)||!this._isShown())return;const t={relatedTarget:this._element};this._completeHide(t)}dispose(){this._popper&&this._popper.destroy(),super.dispose()}update(){this._inNavbar=this._detectNavbar(),this._popper&&this._popper.update()}_completeHide(t){if(!fe.trigger(this._element,Oi,t).defaultPrevented){if("ontouchstart"in document.documentElement)for(const t of[].concat(...document.body.children))fe.off(t,"mouseover",Rt);this._popper&&this._popper.destroy(),this._menu.classList.remove(Ii),this._element.classList.remove(Ii),this._element.setAttribute("aria-expanded","false"),_e.removeDataAttribute(this._menu,"popper"),fe.trigger(this._element,xi,t)}}_getConfig(t){if("object"==typeof(t=super._getConfig(t)).reference&&!Ft(t.reference)&&"function"!=typeof t.reference.getBoundingClientRect)throw new TypeError(`${wi.toUpperCase()}: Option "reference" provided type "object" without a required "getBoundingClientRect" method.`);return t}_createPopper(){if(void 0===e)throw new TypeError("Bootstrap's dropdowns require Popper (https://popper.js.org)");let t=this._element;"parent"===this._config.reference?t=this._parent:Ft(this._config.reference)?t=Ht(this._config.reference):"object"==typeof this._config.reference&&(t=this._config.reference);const i=this._getPopperConfig();this._popper=Dt(t,this._menu,i)}_isShown(){return this._menu.classList.contains(Ii)}_getPlacement(){const t=this._parent;if(t.classList.contains("dropend"))return Wi;if(t.classList.contains("dropstart"))return zi;if(t.classList.contains("dropup-center"))return"top";if(t.classList.contains("dropdown-center"))return"bottom";const e="end"===getComputedStyle(this._menu).getPropertyValue("--bs-position").trim();return t.classList.contains("dropup")?e?Fi:ji:e?Bi:Hi}_detectNavbar(){return null!==this._element.closest(".navbar")}_getOffset(){const{offset:t}=this._config;return"string"==typeof t?t.split(",").map((t=>Number.parseInt(t,10))):"function"==typeof t?e=>t(e,this._element):t}_getPopperConfig(){const t={placement:this._getPlacement(),modifiers:[{name:"preventOverflow",options:{boundary:this._config.boundary}},{name:"offset",options:{offset:this._getOffset()}}]};return(this._inNavbar||"static"===this._config.display)&&(_e.setDataAttribute(this._menu,"popper","static"),t.modifiers=[{name:"applyStyles",enabled:!1}]),{...t,...Xt(this._config.popperConfig,[t])}}_selectMenuItem({key:t,target:e}){const i=we.find(".dropdown-menu .dropdown-item:not(.disabled):not(:disabled)",this._menu).filter((t=>Bt(t)));i.length&&Gt(i,e,t===Ci,!i.includes(e)).focus()}static jQueryInterface(t){return this.each((function(){const e=Vi.getOrCreateInstance(this,t);if("string"==typeof t){if(void 0===e[t])throw new TypeError(`No method named "${t}"`);e[t]()}}))}static clearMenus(t){if(2===t.button||"keyup"===t.type&&"Tab"!==t.key)return;const e=we.find(Pi);for(const i of e){const e=Vi.getInstance(i);if(!e||!1===e._config.autoClose)continue;const n=t.composedPath(),s=n.includes(e._menu);if(n.includes(e._element)||"inside"===e._config.autoClose&&!s||"outside"===e._config.autoClose&&s)continue;if(e._menu.contains(t.target)&&("keyup"===t.type&&"Tab"===t.key||/input|select|option|textarea|form/i.test(t.target.tagName)))continue;const o={relatedTarget:e._element};"click"===t.type&&(o.clickEvent=t),e._completeHide(o)}}static dataApiKeydownHandler(t){const e=/input|textarea/i.test(t.target.tagName),i="Escape"===t.key,n=[Ti,Ci].includes(t.key);if(!n&&!i)return;if(e&&!i)return;t.preventDefault();const s=this.matches(Ni)?this:we.prev(this,Ni)[0]||we.next(this,Ni)[0]||we.findOne(Ni,t.delegateTarget.parentNode),o=Vi.getOrCreateInstance(s);if(n)return t.stopPropagation(),o.show(),void o._selectMenuItem(t);o._isShown()&&(t.stopPropagation(),o.hide(),s.focus())}}fe.on(document,Di,Ni,Vi.dataApiKeydownHandler),fe.on(document,Di,Mi,Vi.dataApiKeydownHandler),fe.on(document,Si,Vi.clearMenus),fe.on(document,$i,Vi.clearMenus),fe.on(document,Si,Ni,(function(t){t.preventDefault(),Vi.getOrCreateInstance(this).toggle()})),Qt(Vi);const Yi="backdrop",Ki="show",Qi=`mousedown.bs.${Yi}`,Xi={className:"modal-backdrop",clickCallback:null,isAnimated:!1,isVisible:!0,rootElement:"body"},Ui={className:"string",clickCallback:"(function|null)",isAnimated:"boolean",isVisible:"boolean",rootElement:"(element|string)"};class Gi extends be{constructor(t){super(),this._config=this._getConfig(t),this._isAppended=!1,this._element=null}static get Default(){return Xi}static get DefaultType(){return Ui}static get NAME(){return Yi}show(t){if(!this._config.isVisible)return void Xt(t);this._append();const e=this._getElement();this._config.isAnimated&&qt(e),e.classList.add(Ki),this._emulateAnimation((()=>{Xt(t)}))}hide(t){this._config.isVisible?(this._getElement().classList.remove(Ki),this._emulateAnimation((()=>{this.dispose(),Xt(t)}))):Xt(t)}dispose(){this._isAppended&&(fe.off(this._element,Qi),this._element.remove(),this._isAppended=!1)}_getElement(){if(!this._element){const t=document.createElement("div");t.className=this._config.className,this._config.isAnimated&&t.classList.add("fade"),this._element=t}return this._element}_configAfterMerge(t){return t.rootElement=Ht(t.rootElement),t}_append(){if(this._isAppended)return;const t=this._getElement();this._config.rootElement.append(t),fe.on(t,Qi,(()=>{Xt(this._config.clickCallback)})),this._isAppended=!0}_emulateAnimation(t){Ut(t,this._getElement(),this._config.isAnimated)}}const Ji=".bs.focustrap",Zi=`focusin${Ji}`,tn=`keydown.tab${Ji}`,en="backward",nn={autofocus:!0,trapElement:null},sn={autofocus:"boolean",trapElement:"element"};class on extends be{constructor(t){super(),this._config=this._getConfig(t),this._isActive=!1,this._lastTabNavDirection=null}static get Default(){return nn}static get DefaultType(){return sn}static get NAME(){return"focustrap"}activate(){this._isActive||(this._config.autofocus&&this._config.trapElement.focus(),fe.off(document,Ji),fe.on(document,Zi,(t=>this._handleFocusin(t))),fe.on(document,tn,(t=>this._handleKeydown(t))),this._isActive=!0)}deactivate(){this._isActive&&(this._isActive=!1,fe.off(document,Ji))}_handleFocusin(t){const{trapElement:e}=this._config;if(t.target===document||t.target===e||e.contains(t.target))return;const i=we.focusableChildren(e);0===i.length?e.focus():this._lastTabNavDirection===en?i[i.length-1].focus():i[0].focus()}_handleKeydown(t){"Tab"===t.key&&(this._lastTabNavDirection=t.shiftKey?en:"forward")}}const rn=".fixed-top, .fixed-bottom, .is-fixed, .sticky-top",an=".sticky-top",ln="padding-right",cn="margin-right";class hn{constructor(){this._element=document.body}getWidth(){const t=document.documentElement.clientWidth;return Math.abs(window.innerWidth-t)}hide(){const t=this.getWidth();this._disableOverFlow(),this._setElementAttributes(this._element,ln,(e=>e+t)),this._setElementAttributes(rn,ln,(e=>e+t)),this._setElementAttributes(an,cn,(e=>e-t))}reset(){this._resetElementAttributes(this._element,"overflow"),this._resetElementAttributes(this._element,ln),this._resetElementAttributes(rn,ln),this._resetElementAttributes(an,cn)}isOverflowing(){return this.getWidth()>0}_disableOverFlow(){this._saveInitialAttribute(this._element,"overflow"),this._element.style.overflow="hidden"}_setElementAttributes(t,e,i){const n=this.getWidth();this._applyManipulationCallback(t,(t=>{if(t!==this._element&&window.innerWidth>t.clientWidth+n)return;this._saveInitialAttribute(t,e);const s=window.getComputedStyle(t).getPropertyValue(e);t.style.setProperty(e,`${i(Number.parseFloat(s))}px`)}))}_saveInitialAttribute(t,e){const i=t.style.getPropertyValue(e);i&&_e.setDataAttribute(t,e,i)}_resetElementAttributes(t,e){this._applyManipulationCallback(t,(t=>{const i=_e.getDataAttribute(t,e);null!==i?(_e.removeDataAttribute(t,e),t.style.setProperty(e,i)):t.style.removeProperty(e)}))}_applyManipulationCallback(t,e){if(Ft(t))e(t);else for(const i of we.find(t,this._element))e(i)}}const dn=".bs.modal",un=`hide${dn}`,fn=`hidePrevented${dn}`,pn=`hidden${dn}`,mn=`show${dn}`,gn=`shown${dn}`,_n=`resize${dn}`,bn=`click.dismiss${dn}`,vn=`mousedown.dismiss${dn}`,yn=`keydown.dismiss${dn}`,wn=`click${dn}.data-api`,En="modal-open",An="show",Tn="modal-static",Cn={backdrop:!0,focus:!0,keyboard:!0},On={backdrop:"(boolean|string)",focus:"boolean",keyboard:"boolean"};class xn extends ve{constructor(t,e){super(t,e),this._dialog=we.findOne(".modal-dialog",this._element),this._backdrop=this._initializeBackDrop(),this._focustrap=this._initializeFocusTrap(),this._isShown=!1,this._isTransitioning=!1,this._scrollBar=new hn,this._addEventListeners()}static get Default(){return Cn}static get DefaultType(){return On}static get NAME(){return"modal"}toggle(t){return this._isShown?this.hide():this.show(t)}show(t){this._isShown||this._isTransitioning||fe.trigger(this._element,mn,{relatedTarget:t}).defaultPrevented||(this._isShown=!0,this._isTransitioning=!0,this._scrollBar.hide(),document.body.classList.add(En),this._adjustDialog(),this._backdrop.show((()=>this._showElement(t))))}hide(){this._isShown&&!this._isTransitioning&&(fe.trigger(this._element,un).defaultPrevented||(this._isShown=!1,this._isTransitioning=!0,this._focustrap.deactivate(),this._element.classList.remove(An),this._queueCallback((()=>this._hideModal()),this._element,this._isAnimated())))}dispose(){fe.off(window,dn),fe.off(this._dialog,dn),this._backdrop.dispose(),this._focustrap.deactivate(),super.dispose()}handleUpdate(){this._adjustDialog()}_initializeBackDrop(){return new Gi({isVisible:Boolean(this._config.backdrop),isAnimated:this._isAnimated()})}_initializeFocusTrap(){return new on({trapElement:this._element})}_showElement(t){document.body.contains(this._element)||document.body.append(this._element),this._element.style.display="block",this._element.removeAttribute("aria-hidden"),this._element.setAttribute("aria-modal",!0),this._element.setAttribute("role","dialog"),this._element.scrollTop=0;const e=we.findOne(".modal-body",this._dialog);e&&(e.scrollTop=0),qt(this._element),this._element.classList.add(An),this._queueCallback((()=>{this._config.focus&&this._focustrap.activate(),this._isTransitioning=!1,fe.trigger(this._element,gn,{relatedTarget:t})}),this._dialog,this._isAnimated())}_addEventListeners(){fe.on(this._element,yn,(t=>{"Escape"===t.key&&(this._config.keyboard?this.hide():this._triggerBackdropTransition())})),fe.on(window,_n,(()=>{this._isShown&&!this._isTransitioning&&this._adjustDialog()})),fe.on(this._element,vn,(t=>{fe.one(this._element,bn,(e=>{this._element===t.target&&this._element===e.target&&("static"!==this._config.backdrop?this._config.backdrop&&this.hide():this._triggerBackdropTransition())}))}))}_hideModal(){this._element.style.display="none",this._element.setAttribute("aria-hidden",!0),this._element.removeAttribute("aria-modal"),this._element.removeAttribute("role"),this._isTransitioning=!1,this._backdrop.hide((()=>{document.body.classList.remove(En),this._resetAdjustments(),this._scrollBar.reset(),fe.trigger(this._element,pn)}))}_isAnimated(){return this._element.classList.contains("fade")}_triggerBackdropTransition(){if(fe.trigger(this._element,fn).defaultPrevented)return;const t=this._element.scrollHeight>document.documentElement.clientHeight,e=this._element.style.overflowY;"hidden"===e||this._element.classList.contains(Tn)||(t||(this._element.style.overflowY="hidden"),this._element.classList.add(Tn),this._queueCallback((()=>{this._element.classList.remove(Tn),this._queueCallback((()=>{this._element.style.overflowY=e}),this._dialog)}),this._dialog),this._element.focus())}_adjustDialog(){const t=this._element.scrollHeight>document.documentElement.clientHeight,e=this._scrollBar.getWidth(),i=e>0;if(i&&!t){const t=Kt()?"paddingLeft":"paddingRight";this._element.style[t]=`${e}px`}if(!i&&t){const t=Kt()?"paddingRight":"paddingLeft";this._element.style[t]=`${e}px`}}_resetAdjustments(){this._element.style.paddingLeft="",this._element.style.paddingRight=""}static jQueryInterface(t,e){return this.each((function(){const i=xn.getOrCreateInstance(this,t);if("string"==typeof t){if(void 0===i[t])throw new TypeError(`No method named "${t}"`);i[t](e)}}))}}fe.on(document,wn,'[data-bs-toggle="modal"]',(function(t){const e=we.getElementFromSelector(this);["A","AREA"].includes(this.tagName)&&t.preventDefault(),fe.one(e,mn,(t=>{t.defaultPrevented||fe.one(e,pn,(()=>{Bt(this)&&this.focus()}))}));const i=we.findOne(".modal.show");i&&xn.getInstance(i).hide(),xn.getOrCreateInstance(e).toggle(this)})),Ee(xn),Qt(xn);const kn=".bs.offcanvas",Ln=".data-api",Sn=`load${kn}${Ln}`,Dn="show",$n="showing",In="hiding",Nn=".offcanvas.show",Pn=`show${kn}`,Mn=`shown${kn}`,jn=`hide${kn}`,Fn=`hidePrevented${kn}`,Hn=`hidden${kn}`,Bn=`resize${kn}`,Wn=`click${kn}${Ln}`,zn=`keydown.dismiss${kn}`,Rn={backdrop:!0,keyboard:!0,scroll:!1},qn={backdrop:"(boolean|string)",keyboard:"boolean",scroll:"boolean"};class Vn extends ve{constructor(t,e){super(t,e),this._isShown=!1,this._backdrop=this._initializeBackDrop(),this._focustrap=this._initializeFocusTrap(),this._addEventListeners()}static get Default(){return Rn}static get DefaultType(){return qn}static get NAME(){return"offcanvas"}toggle(t){return this._isShown?this.hide():this.show(t)}show(t){this._isShown||fe.trigger(this._element,Pn,{relatedTarget:t}).defaultPrevented||(this._isShown=!0,this._backdrop.show(),this._config.scroll||(new hn).hide(),this._element.setAttribute("aria-modal",!0),this._element.setAttribute("role","dialog"),this._element.classList.add($n),this._queueCallback((()=>{this._config.scroll&&!this._config.backdrop||this._focustrap.activate(),this._element.classList.add(Dn),this._element.classList.remove($n),fe.trigger(this._element,Mn,{relatedTarget:t})}),this._element,!0))}hide(){this._isShown&&(fe.trigger(this._element,jn).defaultPrevented||(this._focustrap.deactivate(),this._element.blur(),this._isShown=!1,this._element.classList.add(In),this._backdrop.hide(),this._queueCallback((()=>{this._element.classList.remove(Dn,In),this._element.removeAttribute("aria-modal"),this._element.removeAttribute("role"),this._config.scroll||(new hn).reset(),fe.trigger(this._element,Hn)}),this._element,!0)))}dispose(){this._backdrop.dispose(),this._focustrap.deactivate(),super.dispose()}_initializeBackDrop(){const t=Boolean(this._config.backdrop);return new Gi({className:"offcanvas-backdrop",isVisible:t,isAnimated:!0,rootElement:this._element.parentNode,clickCallback:t?()=>{"static"!==this._config.backdrop?this.hide():fe.trigger(this._element,Fn)}:null})}_initializeFocusTrap(){return new on({trapElement:this._element})}_addEventListeners(){fe.on(this._element,zn,(t=>{"Escape"===t.key&&(this._config.keyboard?this.hide():fe.trigger(this._element,Fn))}))}static jQueryInterface(t){return this.each((function(){const e=Vn.getOrCreateInstance(this,t);if("string"==typeof t){if(void 0===e[t]||t.startsWith("_")||"constructor"===t)throw new TypeError(`No method named "${t}"`);e[t](this)}}))}}fe.on(document,Wn,'[data-bs-toggle="offcanvas"]',(function(t){const e=we.getElementFromSelector(this);if(["A","AREA"].includes(this.tagName)&&t.preventDefault(),Wt(this))return;fe.one(e,Hn,(()=>{Bt(this)&&this.focus()}));const i=we.findOne(Nn);i&&i!==e&&Vn.getInstance(i).hide(),Vn.getOrCreateInstance(e).toggle(this)})),fe.on(window,Sn,(()=>{for(const t of we.find(Nn))Vn.getOrCreateInstance(t).show()})),fe.on(window,Bn,(()=>{for(const t of we.find("[aria-modal][class*=show][class*=offcanvas-]"))"fixed"!==getComputedStyle(t).position&&Vn.getOrCreateInstance(t).hide()})),Ee(Vn),Qt(Vn);const Yn={"*":["class","dir","id","lang","role",/^aria-[\w-]*$/i],a:["target","href","title","rel"],area:[],b:[],br:[],col:[],code:[],div:[],em:[],hr:[],h1:[],h2:[],h3:[],h4:[],h5:[],h6:[],i:[],img:["src","srcset","alt","title","width","height"],li:[],ol:[],p:[],pre:[],s:[],small:[],span:[],sub:[],sup:[],strong:[],u:[],ul:[]},Kn=new Set(["background","cite","href","itemtype","longdesc","poster","src","xlink:href"]),Qn=/^(?!javascript:)(?:[a-z0-9+.-]+:|[^&:/?#]*(?:[/?#]|$))/i,Xn=(t,e)=>{const i=t.nodeName.toLowerCase();return e.includes(i)?!Kn.has(i)||Boolean(Qn.test(t.nodeValue)):e.filter((t=>t instanceof RegExp)).some((t=>t.test(i)))},Un={allowList:Yn,content:{},extraClass:"",html:!1,sanitize:!0,sanitizeFn:null,template:"

"},Gn={allowList:"object",content:"object",extraClass:"(string|function)",html:"boolean",sanitize:"boolean",sanitizeFn:"(null|function)",template:"string"},Jn={entry:"(string|element|function|null)",selector:"(string|element)"};class Zn extends be{constructor(t){super(),this._config=this._getConfig(t)}static get Default(){return Un}static get DefaultType(){return Gn}static get NAME(){return"TemplateFactory"}getContent(){return Object.values(this._config.content).map((t=>this._resolvePossibleFunction(t))).filter(Boolean)}hasContent(){return this.getContent().length>0}changeContent(t){return this._checkContent(t),this._config.content={...this._config.content,...t},this}toHtml(){const t=document.createElement("div");t.innerHTML=this._maybeSanitize(this._config.template);for(const[e,i]of Object.entries(this._config.content))this._setContent(t,i,e);const e=t.children[0],i=this._resolvePossibleFunction(this._config.extraClass);return i&&e.classList.add(...i.split(" ")),e}_typeCheckConfig(t){super._typeCheckConfig(t),this._checkContent(t.content)}_checkContent(t){for(const[e,i]of Object.entries(t))super._typeCheckConfig({selector:e,entry:i},Jn)}_setContent(t,e,i){const n=we.findOne(i,t);n&&((e=this._resolvePossibleFunction(e))?Ft(e)?this._putElementInTemplate(Ht(e),n):this._config.html?n.innerHTML=this._maybeSanitize(e):n.textContent=e:n.remove())}_maybeSanitize(t){return this._config.sanitize?function(t,e,i){if(!t.length)return t;if(i&&"function"==typeof i)return i(t);const n=(new window.DOMParser).parseFromString(t,"text/html"),s=[].concat(...n.body.querySelectorAll("*"));for(const t of s){const i=t.nodeName.toLowerCase();if(!Object.keys(e).includes(i)){t.remove();continue}const n=[].concat(...t.attributes),s=[].concat(e["*"]||[],e[i]||[]);for(const e of n)Xn(e,s)||t.removeAttribute(e.nodeName)}return n.body.innerHTML}(t,this._config.allowList,this._config.sanitizeFn):t}_resolvePossibleFunction(t){return Xt(t,[this])}_putElementInTemplate(t,e){if(this._config.html)return e.innerHTML="",void e.append(t);e.textContent=t.textContent}}const ts=new Set(["sanitize","allowList","sanitizeFn"]),es="fade",is="show",ns=".modal",ss="hide.bs.modal",os="hover",rs="focus",as={AUTO:"auto",TOP:"top",RIGHT:Kt()?"left":"right",BOTTOM:"bottom",LEFT:Kt()?"right":"left"},ls={allowList:Yn,animation:!0,boundary:"clippingParents",container:!1,customClass:"",delay:0,fallbackPlacements:["top","right","bottom","left"],html:!1,offset:[0,6],placement:"top",popperConfig:null,sanitize:!0,sanitizeFn:null,selector:!1,template:'',title:"",trigger:"hover focus"},cs={allowList:"object",animation:"boolean",boundary:"(string|element)",container:"(string|element|boolean)",customClass:"(string|function)",delay:"(number|object)",fallbackPlacements:"array",html:"boolean",offset:"(array|string|function)",placement:"(string|function)",popperConfig:"(null|object|function)",sanitize:"boolean",sanitizeFn:"(null|function)",selector:"(string|boolean)",template:"string",title:"(string|element|function)",trigger:"string"};class hs extends ve{constructor(t,i){if(void 0===e)throw new TypeError("Bootstrap's tooltips require Popper (https://popper.js.org)");super(t,i),this._isEnabled=!0,this._timeout=0,this._isHovered=null,this._activeTrigger={},this._popper=null,this._templateFactory=null,this._newContent=null,this.tip=null,this._setListeners(),this._config.selector||this._fixTitle()}static get Default(){return ls}static get DefaultType(){return cs}static get NAME(){return"tooltip"}enable(){this._isEnabled=!0}disable(){this._isEnabled=!1}toggleEnabled(){this._isEnabled=!this._isEnabled}toggle(){this._isEnabled&&(this._activeTrigger.click=!this._activeTrigger.click,this._isShown()?this._leave():this._enter())}dispose(){clearTimeout(this._timeout),fe.off(this._element.closest(ns),ss,this._hideModalHandler),this._element.getAttribute("data-bs-original-title")&&this._element.setAttribute("title",this._element.getAttribute("data-bs-original-title")),this._disposePopper(),super.dispose()}show(){if("none"===this._element.style.display)throw new Error("Please use show on visible elements");if(!this._isWithContent()||!this._isEnabled)return;const t=fe.trigger(this._element,this.constructor.eventName("show")),e=(zt(this._element)||this._element.ownerDocument.documentElement).contains(this._element);if(t.defaultPrevented||!e)return;this._disposePopper();const i=this._getTipElement();this._element.setAttribute("aria-describedby",i.getAttribute("id"));const{container:n}=this._config;if(this._element.ownerDocument.documentElement.contains(this.tip)||(n.append(i),fe.trigger(this._element,this.constructor.eventName("inserted"))),this._popper=this._createPopper(i),i.classList.add(is),"ontouchstart"in document.documentElement)for(const t of[].concat(...document.body.children))fe.on(t,"mouseover",Rt);this._queueCallback((()=>{fe.trigger(this._element,this.constructor.eventName("shown")),!1===this._isHovered&&this._leave(),this._isHovered=!1}),this.tip,this._isAnimated())}hide(){if(this._isShown()&&!fe.trigger(this._element,this.constructor.eventName("hide")).defaultPrevented){if(this._getTipElement().classList.remove(is),"ontouchstart"in document.documentElement)for(const t of[].concat(...document.body.children))fe.off(t,"mouseover",Rt);this._activeTrigger.click=!1,this._activeTrigger[rs]=!1,this._activeTrigger[os]=!1,this._isHovered=null,this._queueCallback((()=>{this._isWithActiveTrigger()||(this._isHovered||this._disposePopper(),this._element.removeAttribute("aria-describedby"),fe.trigger(this._element,this.constructor.eventName("hidden")))}),this.tip,this._isAnimated())}}update(){this._popper&&this._popper.update()}_isWithContent(){return Boolean(this._getTitle())}_getTipElement(){return this.tip||(this.tip=this._createTipElement(this._newContent||this._getContentForTemplate())),this.tip}_createTipElement(t){const e=this._getTemplateFactory(t).toHtml();if(!e)return null;e.classList.remove(es,is),e.classList.add(`bs-${this.constructor.NAME}-auto`);const i=(t=>{do{t+=Math.floor(1e6*Math.random())}while(document.getElementById(t));return t})(this.constructor.NAME).toString();return e.setAttribute("id",i),this._isAnimated()&&e.classList.add(es),e}setContent(t){this._newContent=t,this._isShown()&&(this._disposePopper(),this.show())}_getTemplateFactory(t){return this._templateFactory?this._templateFactory.changeContent(t):this._templateFactory=new Zn({...this._config,content:t,extraClass:this._resolvePossibleFunction(this._config.customClass)}),this._templateFactory}_getContentForTemplate(){return{".tooltip-inner":this._getTitle()}}_getTitle(){return this._resolvePossibleFunction(this._config.title)||this._element.getAttribute("data-bs-original-title")}_initializeOnDelegatedTarget(t){return this.constructor.getOrCreateInstance(t.delegateTarget,this._getDelegateConfig())}_isAnimated(){return this._config.animation||this.tip&&this.tip.classList.contains(es)}_isShown(){return this.tip&&this.tip.classList.contains(is)}_createPopper(t){const e=Xt(this._config.placement,[this,t,this._element]),i=as[e.toUpperCase()];return Dt(this._element,t,this._getPopperConfig(i))}_getOffset(){const{offset:t}=this._config;return"string"==typeof t?t.split(",").map((t=>Number.parseInt(t,10))):"function"==typeof t?e=>t(e,this._element):t}_resolvePossibleFunction(t){return Xt(t,[this._element])}_getPopperConfig(t){const e={placement:t,modifiers:[{name:"flip",options:{fallbackPlacements:this._config.fallbackPlacements}},{name:"offset",options:{offset:this._getOffset()}},{name:"preventOverflow",options:{boundary:this._config.boundary}},{name:"arrow",options:{element:`.${this.constructor.NAME}-arrow`}},{name:"preSetPlacement",enabled:!0,phase:"beforeMain",fn:t=>{this._getTipElement().setAttribute("data-popper-placement",t.state.placement)}}]};return{...e,...Xt(this._config.popperConfig,[e])}}_setListeners(){const t=this._config.trigger.split(" ");for(const e of t)if("click"===e)fe.on(this._element,this.constructor.eventName("click"),this._config.selector,(t=>{this._initializeOnDelegatedTarget(t).toggle()}));else if("manual"!==e){const t=e===os?this.constructor.eventName("mouseenter"):this.constructor.eventName("focusin"),i=e===os?this.constructor.eventName("mouseleave"):this.constructor.eventName("focusout");fe.on(this._element,t,this._config.selector,(t=>{const e=this._initializeOnDelegatedTarget(t);e._activeTrigger["focusin"===t.type?rs:os]=!0,e._enter()})),fe.on(this._element,i,this._config.selector,(t=>{const e=this._initializeOnDelegatedTarget(t);e._activeTrigger["focusout"===t.type?rs:os]=e._element.contains(t.relatedTarget),e._leave()}))}this._hideModalHandler=()=>{this._element&&this.hide()},fe.on(this._element.closest(ns),ss,this._hideModalHandler)}_fixTitle(){const t=this._element.getAttribute("title");t&&(this._element.getAttribute("aria-label")||this._element.textContent.trim()||this._element.setAttribute("aria-label",t),this._element.setAttribute("data-bs-original-title",t),this._element.removeAttribute("title"))}_enter(){this._isShown()||this._isHovered?this._isHovered=!0:(this._isHovered=!0,this._setTimeout((()=>{this._isHovered&&this.show()}),this._config.delay.show))}_leave(){this._isWithActiveTrigger()||(this._isHovered=!1,this._setTimeout((()=>{this._isHovered||this.hide()}),this._config.delay.hide))}_setTimeout(t,e){clearTimeout(this._timeout),this._timeout=setTimeout(t,e)}_isWithActiveTrigger(){return Object.values(this._activeTrigger).includes(!0)}_getConfig(t){const e=_e.getDataAttributes(this._element);for(const t of Object.keys(e))ts.has(t)&&delete e[t];return t={...e,..."object"==typeof t&&t?t:{}},t=this._mergeConfigObj(t),t=this._configAfterMerge(t),this._typeCheckConfig(t),t}_configAfterMerge(t){return t.container=!1===t.container?document.body:Ht(t.container),"number"==typeof t.delay&&(t.delay={show:t.delay,hide:t.delay}),"number"==typeof t.title&&(t.title=t.title.toString()),"number"==typeof t.content&&(t.content=t.content.toString()),t}_getDelegateConfig(){const t={};for(const[e,i]of Object.entries(this._config))this.constructor.Default[e]!==i&&(t[e]=i);return t.selector=!1,t.trigger="manual",t}_disposePopper(){this._popper&&(this._popper.destroy(),this._popper=null),this.tip&&(this.tip.remove(),this.tip=null)}static jQueryInterface(t){return this.each((function(){const e=hs.getOrCreateInstance(this,t);if("string"==typeof t){if(void 0===e[t])throw new TypeError(`No method named "${t}"`);e[t]()}}))}}Qt(hs);const ds={...hs.Default,content:"",offset:[0,8],placement:"right",template:'',trigger:"click"},us={...hs.DefaultType,content:"(null|string|element|function)"};class fs extends hs{static get Default(){return ds}static get DefaultType(){return us}static get 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00000000..10f979d0 --- /dev/null +++ b/v0.2.0/_static/scripts/bootstrap.js.LICENSE.txt @@ -0,0 +1,5 @@ +/*! + * Bootstrap v5.3.2 (https://getbootstrap.com/) + * Copyright 2011-2023 The Bootstrap Authors (https://github.com/twbs/bootstrap/graphs/contributors) + * Licensed under MIT (https://github.com/twbs/bootstrap/blob/main/LICENSE) + */ diff --git a/v0.2.0/_static/scripts/bootstrap.js.map b/v0.2.0/_static/scripts/bootstrap.js.map new file mode 100644 index 00000000..64e212b1 --- /dev/null +++ b/v0.2.0/_static/scripts/bootstrap.js.map @@ -0,0 +1 @@ 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(element.nodeName || '').toLowerCase() : null;\n}","export default function getWindow(node) {\n if (node == null) {\n return window;\n }\n\n if (node.toString() !== '[object Window]') {\n var ownerDocument = node.ownerDocument;\n return ownerDocument ? ownerDocument.defaultView || window : window;\n }\n\n return node;\n}","import getWindow from \"./getWindow.js\";\n\nfunction isElement(node) {\n var OwnElement = getWindow(node).Element;\n return node instanceof OwnElement || node instanceof Element;\n}\n\nfunction isHTMLElement(node) {\n var OwnElement = getWindow(node).HTMLElement;\n return node instanceof OwnElement || node instanceof HTMLElement;\n}\n\nfunction isShadowRoot(node) {\n // IE 11 has no ShadowRoot\n if (typeof ShadowRoot === 'undefined') {\n return false;\n }\n\n var OwnElement = getWindow(node).ShadowRoot;\n return node instanceof OwnElement || node instanceof ShadowRoot;\n}\n\nexport { isElement, isHTMLElement, isShadowRoot };","import getNodeName from \"../dom-utils/getNodeName.js\";\nimport { isHTMLElement } from \"../dom-utils/instanceOf.js\"; // This modifier takes the styles prepared by the `computeStyles` modifier\n// and applies them to the HTMLElements such as popper and arrow\n\nfunction applyStyles(_ref) {\n var state = _ref.state;\n Object.keys(state.elements).forEach(function (name) {\n var style = state.styles[name] || {};\n var attributes = state.attributes[name] || {};\n var element = state.elements[name]; // arrow is optional + virtual elements\n\n if (!isHTMLElement(element) || !getNodeName(element)) {\n return;\n } // Flow doesn't support to extend this property, but it's the most\n // effective way to apply styles to an HTMLElement\n // $FlowFixMe[cannot-write]\n\n\n Object.assign(element.style, style);\n Object.keys(attributes).forEach(function (name) {\n var value = attributes[name];\n\n if (value === false) {\n element.removeAttribute(name);\n } else {\n element.setAttribute(name, value === true ? '' : value);\n }\n });\n });\n}\n\nfunction effect(_ref2) {\n var state = _ref2.state;\n var initialStyles = {\n popper: {\n position: state.options.strategy,\n left: '0',\n top: '0',\n margin: '0'\n },\n arrow: {\n position: 'absolute'\n },\n reference: {}\n };\n Object.assign(state.elements.popper.style, initialStyles.popper);\n state.styles = initialStyles;\n\n if (state.elements.arrow) {\n Object.assign(state.elements.arrow.style, initialStyles.arrow);\n }\n\n return function () {\n Object.keys(state.elements).forEach(function (name) {\n var element = state.elements[name];\n var attributes = state.attributes[name] || {};\n var styleProperties = Object.keys(state.styles.hasOwnProperty(name) ? state.styles[name] : initialStyles[name]); // Set all values to an empty string to unset them\n\n var style = styleProperties.reduce(function (style, property) {\n style[property] = '';\n return style;\n }, {}); // arrow is optional + virtual elements\n\n if (!isHTMLElement(element) || !getNodeName(element)) {\n return;\n }\n\n Object.assign(element.style, style);\n Object.keys(attributes).forEach(function (attribute) {\n element.removeAttribute(attribute);\n });\n });\n };\n} // eslint-disable-next-line import/no-unused-modules\n\n\nexport default {\n name: 'applyStyles',\n enabled: true,\n phase: 'write',\n fn: applyStyles,\n effect: effect,\n requires: ['computeStyles']\n};","import { auto } from \"../enums.js\";\nexport default function getBasePlacement(placement) {\n return placement.split('-')[0];\n}","export var max = Math.max;\nexport var min = Math.min;\nexport var round = Math.round;","export default function getUAString() {\n var uaData = navigator.userAgentData;\n\n if (uaData != null && uaData.brands && Array.isArray(uaData.brands)) {\n return uaData.brands.map(function (item) {\n return item.brand + \"/\" + item.version;\n }).join(' ');\n }\n\n return navigator.userAgent;\n}","import getUAString from \"../utils/userAgent.js\";\nexport default function isLayoutViewport() {\n return !/^((?!chrome|android).)*safari/i.test(getUAString());\n}","import { isElement, isHTMLElement } from \"./instanceOf.js\";\nimport { round } from \"../utils/math.js\";\nimport getWindow from \"./getWindow.js\";\nimport isLayoutViewport from \"./isLayoutViewport.js\";\nexport default function getBoundingClientRect(element, includeScale, isFixedStrategy) {\n if (includeScale === void 0) {\n includeScale = false;\n }\n\n if (isFixedStrategy === void 0) {\n isFixedStrategy = false;\n }\n\n var clientRect = element.getBoundingClientRect();\n var scaleX = 1;\n var scaleY = 1;\n\n if (includeScale && isHTMLElement(element)) {\n scaleX = element.offsetWidth > 0 ? round(clientRect.width) / element.offsetWidth || 1 : 1;\n scaleY = element.offsetHeight > 0 ? round(clientRect.height) / element.offsetHeight || 1 : 1;\n }\n\n var _ref = isElement(element) ? getWindow(element) : window,\n visualViewport = _ref.visualViewport;\n\n var addVisualOffsets = !isLayoutViewport() && isFixedStrategy;\n var x = (clientRect.left + (addVisualOffsets && visualViewport ? visualViewport.offsetLeft : 0)) / scaleX;\n var y = (clientRect.top + (addVisualOffsets && visualViewport ? visualViewport.offsetTop : 0)) / scaleY;\n var width = clientRect.width / scaleX;\n var height = clientRect.height / scaleY;\n return {\n width: width,\n height: height,\n top: y,\n right: x + width,\n bottom: y + height,\n left: x,\n x: x,\n y: y\n };\n}","import getBoundingClientRect from \"./getBoundingClientRect.js\"; // Returns the layout rect of an element relative to its offsetParent. Layout\n// means it doesn't take into account transforms.\n\nexport default function getLayoutRect(element) {\n var clientRect = getBoundingClientRect(element); // Use the clientRect sizes if it's not been transformed.\n // Fixes https://github.com/popperjs/popper-core/issues/1223\n\n var width = element.offsetWidth;\n var height = element.offsetHeight;\n\n if (Math.abs(clientRect.width - width) <= 1) {\n width = clientRect.width;\n }\n\n if (Math.abs(clientRect.height - height) <= 1) {\n height = clientRect.height;\n }\n\n return {\n x: element.offsetLeft,\n y: element.offsetTop,\n width: width,\n height: height\n };\n}","import { isShadowRoot } from \"./instanceOf.js\";\nexport default function contains(parent, child) {\n var rootNode = child.getRootNode && child.getRootNode(); // First, attempt with faster native method\n\n if (parent.contains(child)) {\n return true;\n } // then fallback to custom implementation with Shadow DOM support\n else if (rootNode && isShadowRoot(rootNode)) {\n var next = child;\n\n do {\n if (next && parent.isSameNode(next)) {\n return true;\n } // $FlowFixMe[prop-missing]: need a better way to handle this...\n\n\n next = next.parentNode || next.host;\n } while (next);\n } // Give up, the result is false\n\n\n return false;\n}","import getWindow from \"./getWindow.js\";\nexport default function getComputedStyle(element) {\n return getWindow(element).getComputedStyle(element);\n}","import getNodeName from \"./getNodeName.js\";\nexport default function isTableElement(element) {\n return ['table', 'td', 'th'].indexOf(getNodeName(element)) >= 0;\n}","import { isElement } from \"./instanceOf.js\";\nexport default function getDocumentElement(element) {\n // $FlowFixMe[incompatible-return]: assume body is always available\n return ((isElement(element) ? element.ownerDocument : // $FlowFixMe[prop-missing]\n element.document) || window.document).documentElement;\n}","import getNodeName from \"./getNodeName.js\";\nimport getDocumentElement from \"./getDocumentElement.js\";\nimport { isShadowRoot } from \"./instanceOf.js\";\nexport default function getParentNode(element) {\n if (getNodeName(element) === 'html') {\n return element;\n }\n\n return (// this is a quicker (but less type safe) way to save quite some bytes from the bundle\n // $FlowFixMe[incompatible-return]\n // $FlowFixMe[prop-missing]\n element.assignedSlot || // step into the shadow DOM of the parent of a slotted node\n element.parentNode || ( // DOM Element detected\n isShadowRoot(element) ? element.host : null) || // ShadowRoot detected\n // $FlowFixMe[incompatible-call]: HTMLElement is a Node\n getDocumentElement(element) // fallback\n\n );\n}","import getWindow from \"./getWindow.js\";\nimport getNodeName from \"./getNodeName.js\";\nimport getComputedStyle from \"./getComputedStyle.js\";\nimport { isHTMLElement, isShadowRoot } from \"./instanceOf.js\";\nimport isTableElement from \"./isTableElement.js\";\nimport getParentNode from \"./getParentNode.js\";\nimport getUAString from \"../utils/userAgent.js\";\n\nfunction getTrueOffsetParent(element) {\n if (!isHTMLElement(element) || // https://github.com/popperjs/popper-core/issues/837\n getComputedStyle(element).position === 'fixed') {\n return null;\n }\n\n return element.offsetParent;\n} // `.offsetParent` reports `null` for fixed elements, while absolute elements\n// return the containing block\n\n\nfunction getContainingBlock(element) {\n var isFirefox = /firefox/i.test(getUAString());\n var isIE = /Trident/i.test(getUAString());\n\n if (isIE && isHTMLElement(element)) {\n // In IE 9, 10 and 11 fixed elements containing block is always established by the viewport\n var elementCss = getComputedStyle(element);\n\n if (elementCss.position === 'fixed') {\n return null;\n }\n }\n\n var currentNode = getParentNode(element);\n\n if (isShadowRoot(currentNode)) {\n currentNode = currentNode.host;\n }\n\n while (isHTMLElement(currentNode) && ['html', 'body'].indexOf(getNodeName(currentNode)) < 0) {\n var css = getComputedStyle(currentNode); // This is non-exhaustive but covers the most common CSS properties that\n // create a containing block.\n // https://developer.mozilla.org/en-US/docs/Web/CSS/Containing_block#identifying_the_containing_block\n\n if (css.transform !== 'none' || css.perspective !== 'none' || css.contain === 'paint' || ['transform', 'perspective'].indexOf(css.willChange) !== -1 || isFirefox && css.willChange === 'filter' || isFirefox && css.filter && css.filter !== 'none') {\n return currentNode;\n } else {\n currentNode = currentNode.parentNode;\n }\n }\n\n return null;\n} // Gets the closest ancestor positioned element. Handles some edge cases,\n// such as table ancestors and cross browser bugs.\n\n\nexport default function getOffsetParent(element) {\n var window = getWindow(element);\n var offsetParent = getTrueOffsetParent(element);\n\n while (offsetParent && isTableElement(offsetParent) && getComputedStyle(offsetParent).position === 'static') {\n offsetParent = getTrueOffsetParent(offsetParent);\n }\n\n if (offsetParent && (getNodeName(offsetParent) === 'html' || getNodeName(offsetParent) === 'body' && getComputedStyle(offsetParent).position === 'static')) {\n return window;\n }\n\n return offsetParent || getContainingBlock(element) || window;\n}","export default function getMainAxisFromPlacement(placement) {\n return ['top', 'bottom'].indexOf(placement) >= 0 ? 'x' : 'y';\n}","import { max as mathMax, min as mathMin } from \"./math.js\";\nexport function within(min, value, max) {\n return mathMax(min, mathMin(value, max));\n}\nexport function withinMaxClamp(min, value, max) {\n var v = within(min, value, max);\n return v > max ? max : v;\n}","import getFreshSideObject from \"./getFreshSideObject.js\";\nexport default function mergePaddingObject(paddingObject) {\n return Object.assign({}, getFreshSideObject(), paddingObject);\n}","export default function getFreshSideObject() {\n return {\n top: 0,\n right: 0,\n bottom: 0,\n left: 0\n };\n}","export default function expandToHashMap(value, keys) {\n return keys.reduce(function (hashMap, key) {\n hashMap[key] = value;\n return hashMap;\n }, {});\n}","import getBasePlacement from \"../utils/getBasePlacement.js\";\nimport getLayoutRect from \"../dom-utils/getLayoutRect.js\";\nimport contains from \"../dom-utils/contains.js\";\nimport getOffsetParent from \"../dom-utils/getOffsetParent.js\";\nimport getMainAxisFromPlacement from \"../utils/getMainAxisFromPlacement.js\";\nimport { within } from \"../utils/within.js\";\nimport mergePaddingObject from \"../utils/mergePaddingObject.js\";\nimport expandToHashMap from \"../utils/expandToHashMap.js\";\nimport { left, right, basePlacements, top, bottom } from \"../enums.js\"; // eslint-disable-next-line import/no-unused-modules\n\nvar toPaddingObject = function toPaddingObject(padding, state) {\n padding = typeof padding === 'function' ? padding(Object.assign({}, state.rects, {\n placement: state.placement\n })) : padding;\n return mergePaddingObject(typeof padding !== 'number' ? padding : expandToHashMap(padding, basePlacements));\n};\n\nfunction arrow(_ref) {\n var _state$modifiersData$;\n\n var state = _ref.state,\n name = _ref.name,\n options = _ref.options;\n var arrowElement = state.elements.arrow;\n var popperOffsets = state.modifiersData.popperOffsets;\n var basePlacement = getBasePlacement(state.placement);\n var axis = getMainAxisFromPlacement(basePlacement);\n var isVertical = [left, right].indexOf(basePlacement) >= 0;\n var len = isVertical ? 'height' : 'width';\n\n if (!arrowElement || !popperOffsets) {\n return;\n }\n\n var paddingObject = toPaddingObject(options.padding, state);\n var arrowRect = getLayoutRect(arrowElement);\n var minProp = axis === 'y' ? top : left;\n var maxProp = axis === 'y' ? bottom : right;\n var endDiff = state.rects.reference[len] + state.rects.reference[axis] - popperOffsets[axis] - state.rects.popper[len];\n var startDiff = popperOffsets[axis] - state.rects.reference[axis];\n var arrowOffsetParent = getOffsetParent(arrowElement);\n var clientSize = arrowOffsetParent ? axis === 'y' ? arrowOffsetParent.clientHeight || 0 : arrowOffsetParent.clientWidth || 0 : 0;\n var centerToReference = endDiff / 2 - startDiff / 2; // Make sure the arrow doesn't overflow the popper if the center point is\n // outside of the popper bounds\n\n var min = paddingObject[minProp];\n var max = clientSize - arrowRect[len] - paddingObject[maxProp];\n var center = clientSize / 2 - arrowRect[len] / 2 + centerToReference;\n var offset = within(min, center, max); // Prevents breaking syntax highlighting...\n\n var axisProp = axis;\n state.modifiersData[name] = (_state$modifiersData$ = {}, _state$modifiersData$[axisProp] = offset, _state$modifiersData$.centerOffset = offset - center, _state$modifiersData$);\n}\n\nfunction effect(_ref2) {\n var state = _ref2.state,\n options = _ref2.options;\n var _options$element = options.element,\n arrowElement = _options$element === void 0 ? '[data-popper-arrow]' : _options$element;\n\n if (arrowElement == null) {\n return;\n } // CSS selector\n\n\n if (typeof arrowElement === 'string') {\n arrowElement = state.elements.popper.querySelector(arrowElement);\n\n if (!arrowElement) {\n return;\n }\n }\n\n if (!contains(state.elements.popper, arrowElement)) {\n return;\n }\n\n state.elements.arrow = arrowElement;\n} // eslint-disable-next-line import/no-unused-modules\n\n\nexport default {\n name: 'arrow',\n enabled: true,\n phase: 'main',\n fn: arrow,\n effect: effect,\n requires: ['popperOffsets'],\n requiresIfExists: ['preventOverflow']\n};","export default function getVariation(placement) {\n return placement.split('-')[1];\n}","import { top, left, right, bottom, end } from \"../enums.js\";\nimport getOffsetParent from \"../dom-utils/getOffsetParent.js\";\nimport getWindow from \"../dom-utils/getWindow.js\";\nimport getDocumentElement from \"../dom-utils/getDocumentElement.js\";\nimport getComputedStyle from \"../dom-utils/getComputedStyle.js\";\nimport getBasePlacement from \"../utils/getBasePlacement.js\";\nimport getVariation from \"../utils/getVariation.js\";\nimport { round } from \"../utils/math.js\"; // eslint-disable-next-line import/no-unused-modules\n\nvar unsetSides = {\n top: 'auto',\n right: 'auto',\n bottom: 'auto',\n left: 'auto'\n}; // Round the offsets to the nearest suitable subpixel based on the DPR.\n// Zooming can change the DPR, but it seems to report a value that will\n// cleanly divide the values into the appropriate subpixels.\n\nfunction roundOffsetsByDPR(_ref, win) {\n var x = _ref.x,\n y = _ref.y;\n var dpr = win.devicePixelRatio || 1;\n return {\n x: round(x * dpr) / dpr || 0,\n y: round(y * dpr) / dpr || 0\n };\n}\n\nexport function mapToStyles(_ref2) {\n var _Object$assign2;\n\n var popper = _ref2.popper,\n popperRect = _ref2.popperRect,\n placement = _ref2.placement,\n variation = _ref2.variation,\n offsets = _ref2.offsets,\n position = _ref2.position,\n gpuAcceleration = _ref2.gpuAcceleration,\n adaptive = _ref2.adaptive,\n roundOffsets = _ref2.roundOffsets,\n isFixed = _ref2.isFixed;\n var _offsets$x = offsets.x,\n x = _offsets$x === void 0 ? 0 : _offsets$x,\n _offsets$y = offsets.y,\n y = _offsets$y === void 0 ? 0 : _offsets$y;\n\n var _ref3 = typeof roundOffsets === 'function' ? roundOffsets({\n x: x,\n y: y\n }) : {\n x: x,\n y: y\n };\n\n x = _ref3.x;\n y = _ref3.y;\n var hasX = offsets.hasOwnProperty('x');\n var hasY = offsets.hasOwnProperty('y');\n var sideX = left;\n var sideY = top;\n var win = window;\n\n if (adaptive) {\n var offsetParent = getOffsetParent(popper);\n var heightProp = 'clientHeight';\n var widthProp = 'clientWidth';\n\n if (offsetParent === getWindow(popper)) {\n offsetParent = getDocumentElement(popper);\n\n if (getComputedStyle(offsetParent).position !== 'static' && position === 'absolute') {\n heightProp = 'scrollHeight';\n widthProp = 'scrollWidth';\n }\n } // $FlowFixMe[incompatible-cast]: force type refinement, we compare offsetParent with window above, but Flow doesn't detect it\n\n\n offsetParent = offsetParent;\n\n if (placement === top || (placement === left || placement === right) && variation === end) {\n sideY = bottom;\n var offsetY = isFixed && offsetParent === win && win.visualViewport ? win.visualViewport.height : // $FlowFixMe[prop-missing]\n offsetParent[heightProp];\n y -= offsetY - popperRect.height;\n y *= gpuAcceleration ? 1 : -1;\n }\n\n if (placement === left || (placement === top || placement === bottom) && variation === end) {\n sideX = right;\n var offsetX = isFixed && offsetParent === win && win.visualViewport ? win.visualViewport.width : // $FlowFixMe[prop-missing]\n offsetParent[widthProp];\n x -= offsetX - popperRect.width;\n x *= gpuAcceleration ? 1 : -1;\n }\n }\n\n var commonStyles = Object.assign({\n position: position\n }, adaptive && unsetSides);\n\n var _ref4 = roundOffsets === true ? roundOffsetsByDPR({\n x: x,\n y: y\n }, getWindow(popper)) : {\n x: x,\n y: y\n };\n\n x = _ref4.x;\n y = _ref4.y;\n\n if (gpuAcceleration) {\n var _Object$assign;\n\n return Object.assign({}, commonStyles, (_Object$assign = {}, _Object$assign[sideY] = hasY ? '0' : '', _Object$assign[sideX] = hasX ? '0' : '', _Object$assign.transform = (win.devicePixelRatio || 1) <= 1 ? \"translate(\" + x + \"px, \" + y + \"px)\" : \"translate3d(\" + x + \"px, \" + y + \"px, 0)\", _Object$assign));\n }\n\n return Object.assign({}, commonStyles, (_Object$assign2 = {}, _Object$assign2[sideY] = hasY ? y + \"px\" : '', _Object$assign2[sideX] = hasX ? x + \"px\" : '', _Object$assign2.transform = '', _Object$assign2));\n}\n\nfunction computeStyles(_ref5) {\n var state = _ref5.state,\n options = _ref5.options;\n var _options$gpuAccelerat = options.gpuAcceleration,\n gpuAcceleration = _options$gpuAccelerat === void 0 ? true : _options$gpuAccelerat,\n _options$adaptive = options.adaptive,\n adaptive = _options$adaptive === void 0 ? true : _options$adaptive,\n _options$roundOffsets = options.roundOffsets,\n roundOffsets = _options$roundOffsets === void 0 ? true : _options$roundOffsets;\n var commonStyles = {\n placement: getBasePlacement(state.placement),\n variation: getVariation(state.placement),\n popper: state.elements.popper,\n popperRect: state.rects.popper,\n gpuAcceleration: gpuAcceleration,\n isFixed: state.options.strategy === 'fixed'\n };\n\n if (state.modifiersData.popperOffsets != null) {\n state.styles.popper = Object.assign({}, state.styles.popper, mapToStyles(Object.assign({}, commonStyles, {\n offsets: state.modifiersData.popperOffsets,\n position: state.options.strategy,\n adaptive: adaptive,\n roundOffsets: roundOffsets\n })));\n }\n\n if (state.modifiersData.arrow != null) {\n state.styles.arrow = Object.assign({}, state.styles.arrow, mapToStyles(Object.assign({}, commonStyles, {\n offsets: state.modifiersData.arrow,\n position: 'absolute',\n adaptive: false,\n roundOffsets: roundOffsets\n })));\n }\n\n state.attributes.popper = Object.assign({}, state.attributes.popper, {\n 'data-popper-placement': state.placement\n });\n} // eslint-disable-next-line import/no-unused-modules\n\n\nexport default {\n name: 'computeStyles',\n enabled: true,\n phase: 'beforeWrite',\n fn: computeStyles,\n data: {}\n};","import getWindow from \"../dom-utils/getWindow.js\"; // eslint-disable-next-line import/no-unused-modules\n\nvar passive = {\n passive: true\n};\n\nfunction effect(_ref) {\n var state = _ref.state,\n instance = _ref.instance,\n options = _ref.options;\n var _options$scroll = options.scroll,\n scroll = _options$scroll === void 0 ? true : _options$scroll,\n _options$resize = options.resize,\n resize = _options$resize === void 0 ? true : _options$resize;\n var window = getWindow(state.elements.popper);\n var scrollParents = [].concat(state.scrollParents.reference, state.scrollParents.popper);\n\n if (scroll) {\n scrollParents.forEach(function (scrollParent) {\n scrollParent.addEventListener('scroll', instance.update, passive);\n });\n }\n\n if (resize) {\n window.addEventListener('resize', instance.update, passive);\n }\n\n return function () {\n if (scroll) {\n scrollParents.forEach(function (scrollParent) {\n scrollParent.removeEventListener('scroll', instance.update, passive);\n });\n }\n\n if (resize) {\n window.removeEventListener('resize', instance.update, passive);\n }\n };\n} // eslint-disable-next-line import/no-unused-modules\n\n\nexport default {\n name: 'eventListeners',\n enabled: true,\n phase: 'write',\n fn: function fn() {},\n effect: effect,\n data: {}\n};","var hash = {\n left: 'right',\n right: 'left',\n bottom: 'top',\n top: 'bottom'\n};\nexport default function getOppositePlacement(placement) {\n return placement.replace(/left|right|bottom|top/g, function (matched) {\n return hash[matched];\n });\n}","var hash = {\n start: 'end',\n end: 'start'\n};\nexport default function getOppositeVariationPlacement(placement) {\n return placement.replace(/start|end/g, function (matched) {\n return hash[matched];\n });\n}","import getWindow from \"./getWindow.js\";\nexport default function getWindowScroll(node) {\n var win = getWindow(node);\n var scrollLeft = win.pageXOffset;\n var scrollTop = win.pageYOffset;\n return {\n scrollLeft: scrollLeft,\n scrollTop: scrollTop\n };\n}","import getBoundingClientRect from \"./getBoundingClientRect.js\";\nimport getDocumentElement from \"./getDocumentElement.js\";\nimport getWindowScroll from \"./getWindowScroll.js\";\nexport default function getWindowScrollBarX(element) {\n // If has a CSS width greater than the viewport, then this will be\n // incorrect for RTL.\n // Popper 1 is broken in this case and never had a bug report so let's assume\n // it's not an issue. I don't think anyone ever specifies width on \n // anyway.\n // Browsers where the left scrollbar doesn't cause an issue report `0` for\n // this (e.g. Edge 2019, IE11, Safari)\n return getBoundingClientRect(getDocumentElement(element)).left + getWindowScroll(element).scrollLeft;\n}","import getComputedStyle from \"./getComputedStyle.js\";\nexport default function isScrollParent(element) {\n // Firefox wants us to check `-x` and `-y` variations as well\n var _getComputedStyle = getComputedStyle(element),\n overflow = _getComputedStyle.overflow,\n overflowX = _getComputedStyle.overflowX,\n overflowY = _getComputedStyle.overflowY;\n\n return /auto|scroll|overlay|hidden/.test(overflow + overflowY + overflowX);\n}","import getParentNode from \"./getParentNode.js\";\nimport isScrollParent from \"./isScrollParent.js\";\nimport getNodeName from \"./getNodeName.js\";\nimport { isHTMLElement } from \"./instanceOf.js\";\nexport default function getScrollParent(node) {\n if (['html', 'body', '#document'].indexOf(getNodeName(node)) >= 0) {\n // $FlowFixMe[incompatible-return]: assume body is always available\n return node.ownerDocument.body;\n }\n\n if (isHTMLElement(node) && isScrollParent(node)) {\n return node;\n }\n\n return getScrollParent(getParentNode(node));\n}","import getScrollParent from \"./getScrollParent.js\";\nimport getParentNode from \"./getParentNode.js\";\nimport getWindow from \"./getWindow.js\";\nimport isScrollParent from \"./isScrollParent.js\";\n/*\ngiven a DOM element, return the list of all scroll parents, up the list of ancesors\nuntil we get to the top window object. This list is what we attach scroll listeners\nto, because if any of these parent elements scroll, we'll need to re-calculate the\nreference element's position.\n*/\n\nexport default function listScrollParents(element, list) {\n var _element$ownerDocumen;\n\n if (list === void 0) {\n list = [];\n }\n\n var scrollParent = getScrollParent(element);\n var isBody = scrollParent === ((_element$ownerDocumen = element.ownerDocument) == null ? void 0 : _element$ownerDocumen.body);\n var win = getWindow(scrollParent);\n var target = isBody ? [win].concat(win.visualViewport || [], isScrollParent(scrollParent) ? scrollParent : []) : scrollParent;\n var updatedList = list.concat(target);\n return isBody ? updatedList : // $FlowFixMe[incompatible-call]: isBody tells us target will be an HTMLElement here\n updatedList.concat(listScrollParents(getParentNode(target)));\n}","export default function rectToClientRect(rect) {\n return Object.assign({}, rect, {\n left: rect.x,\n top: rect.y,\n right: rect.x + rect.width,\n bottom: rect.y + rect.height\n });\n}","import { viewport } from \"../enums.js\";\nimport getViewportRect from \"./getViewportRect.js\";\nimport getDocumentRect from \"./getDocumentRect.js\";\nimport listScrollParents from \"./listScrollParents.js\";\nimport getOffsetParent from \"./getOffsetParent.js\";\nimport getDocumentElement from \"./getDocumentElement.js\";\nimport getComputedStyle from \"./getComputedStyle.js\";\nimport { isElement, isHTMLElement } from \"./instanceOf.js\";\nimport getBoundingClientRect from \"./getBoundingClientRect.js\";\nimport getParentNode from \"./getParentNode.js\";\nimport contains from \"./contains.js\";\nimport getNodeName from \"./getNodeName.js\";\nimport rectToClientRect from \"../utils/rectToClientRect.js\";\nimport { max, min } from \"../utils/math.js\";\n\nfunction getInnerBoundingClientRect(element, strategy) {\n var rect = getBoundingClientRect(element, false, strategy === 'fixed');\n rect.top = rect.top + element.clientTop;\n rect.left = rect.left + element.clientLeft;\n rect.bottom = rect.top + element.clientHeight;\n rect.right = rect.left + element.clientWidth;\n rect.width = element.clientWidth;\n rect.height = element.clientHeight;\n rect.x = rect.left;\n rect.y = rect.top;\n return rect;\n}\n\nfunction getClientRectFromMixedType(element, clippingParent, strategy) {\n return clippingParent === viewport ? rectToClientRect(getViewportRect(element, strategy)) : isElement(clippingParent) ? getInnerBoundingClientRect(clippingParent, strategy) : rectToClientRect(getDocumentRect(getDocumentElement(element)));\n} // A \"clipping parent\" is an overflowable container with the characteristic of\n// clipping (or hiding) overflowing elements with a position different from\n// `initial`\n\n\nfunction getClippingParents(element) {\n var clippingParents = listScrollParents(getParentNode(element));\n var canEscapeClipping = ['absolute', 'fixed'].indexOf(getComputedStyle(element).position) >= 0;\n var clipperElement = canEscapeClipping && isHTMLElement(element) ? getOffsetParent(element) : element;\n\n if (!isElement(clipperElement)) {\n return [];\n } // $FlowFixMe[incompatible-return]: https://github.com/facebook/flow/issues/1414\n\n\n return clippingParents.filter(function (clippingParent) {\n return isElement(clippingParent) && contains(clippingParent, clipperElement) && getNodeName(clippingParent) !== 'body';\n });\n} // Gets the maximum area that the element is visible in due to any number of\n// clipping parents\n\n\nexport default function getClippingRect(element, boundary, rootBoundary, strategy) {\n var mainClippingParents = boundary === 'clippingParents' ? getClippingParents(element) : [].concat(boundary);\n var clippingParents = [].concat(mainClippingParents, [rootBoundary]);\n var firstClippingParent = clippingParents[0];\n var clippingRect = clippingParents.reduce(function (accRect, clippingParent) {\n var rect = getClientRectFromMixedType(element, clippingParent, strategy);\n accRect.top = max(rect.top, accRect.top);\n accRect.right = min(rect.right, accRect.right);\n accRect.bottom = min(rect.bottom, accRect.bottom);\n accRect.left = max(rect.left, accRect.left);\n return accRect;\n }, getClientRectFromMixedType(element, firstClippingParent, strategy));\n clippingRect.width = clippingRect.right - clippingRect.left;\n clippingRect.height = clippingRect.bottom - clippingRect.top;\n clippingRect.x = clippingRect.left;\n clippingRect.y = clippingRect.top;\n return clippingRect;\n}","import getWindow from \"./getWindow.js\";\nimport getDocumentElement from \"./getDocumentElement.js\";\nimport getWindowScrollBarX from \"./getWindowScrollBarX.js\";\nimport isLayoutViewport from \"./isLayoutViewport.js\";\nexport default function getViewportRect(element, strategy) {\n var win = getWindow(element);\n var html = getDocumentElement(element);\n var visualViewport = win.visualViewport;\n var width = html.clientWidth;\n var height = html.clientHeight;\n var x = 0;\n var y = 0;\n\n if (visualViewport) {\n width = visualViewport.width;\n height = visualViewport.height;\n var layoutViewport = isLayoutViewport();\n\n if (layoutViewport || !layoutViewport && strategy === 'fixed') {\n x = visualViewport.offsetLeft;\n y = visualViewport.offsetTop;\n }\n }\n\n return {\n width: width,\n height: height,\n x: x + getWindowScrollBarX(element),\n y: y\n };\n}","import getDocumentElement from \"./getDocumentElement.js\";\nimport getComputedStyle from \"./getComputedStyle.js\";\nimport getWindowScrollBarX from \"./getWindowScrollBarX.js\";\nimport getWindowScroll from \"./getWindowScroll.js\";\nimport { max } from \"../utils/math.js\"; // Gets the entire size of the scrollable document area, even extending outside\n// of the `` and `` rect bounds if horizontally scrollable\n\nexport default function getDocumentRect(element) {\n var _element$ownerDocumen;\n\n var html = getDocumentElement(element);\n var winScroll = getWindowScroll(element);\n var body = (_element$ownerDocumen = element.ownerDocument) == null ? void 0 : _element$ownerDocumen.body;\n var width = max(html.scrollWidth, html.clientWidth, body ? body.scrollWidth : 0, body ? body.clientWidth : 0);\n var height = max(html.scrollHeight, html.clientHeight, body ? body.scrollHeight : 0, body ? body.clientHeight : 0);\n var x = -winScroll.scrollLeft + getWindowScrollBarX(element);\n var y = -winScroll.scrollTop;\n\n if (getComputedStyle(body || html).direction === 'rtl') {\n x += max(html.clientWidth, body ? body.clientWidth : 0) - width;\n }\n\n return {\n width: width,\n height: height,\n x: x,\n y: y\n };\n}","import getBasePlacement from \"./getBasePlacement.js\";\nimport getVariation from \"./getVariation.js\";\nimport getMainAxisFromPlacement from \"./getMainAxisFromPlacement.js\";\nimport { top, right, bottom, left, start, end } from \"../enums.js\";\nexport default function computeOffsets(_ref) {\n var reference = _ref.reference,\n element = _ref.element,\n placement = _ref.placement;\n var basePlacement = placement ? getBasePlacement(placement) : null;\n var variation = placement ? getVariation(placement) : null;\n var commonX = reference.x + reference.width / 2 - element.width / 2;\n var commonY = reference.y + reference.height / 2 - element.height / 2;\n var offsets;\n\n switch (basePlacement) {\n case top:\n offsets = {\n x: commonX,\n y: reference.y - element.height\n };\n break;\n\n case bottom:\n offsets = {\n x: commonX,\n y: reference.y + reference.height\n };\n break;\n\n case right:\n offsets = {\n x: reference.x + reference.width,\n y: commonY\n };\n break;\n\n case left:\n offsets = {\n x: reference.x - element.width,\n y: commonY\n };\n break;\n\n default:\n offsets = {\n x: reference.x,\n y: reference.y\n };\n }\n\n var mainAxis = basePlacement ? getMainAxisFromPlacement(basePlacement) : null;\n\n if (mainAxis != null) {\n var len = mainAxis === 'y' ? 'height' : 'width';\n\n switch (variation) {\n case start:\n offsets[mainAxis] = offsets[mainAxis] - (reference[len] / 2 - element[len] / 2);\n break;\n\n case end:\n offsets[mainAxis] = offsets[mainAxis] + (reference[len] / 2 - element[len] / 2);\n break;\n\n default:\n }\n }\n\n return offsets;\n}","import getClippingRect from \"../dom-utils/getClippingRect.js\";\nimport getDocumentElement from \"../dom-utils/getDocumentElement.js\";\nimport getBoundingClientRect from \"../dom-utils/getBoundingClientRect.js\";\nimport computeOffsets from \"./computeOffsets.js\";\nimport rectToClientRect from \"./rectToClientRect.js\";\nimport { clippingParents, reference, popper, bottom, top, right, basePlacements, viewport } from \"../enums.js\";\nimport { isElement } from \"../dom-utils/instanceOf.js\";\nimport mergePaddingObject from \"./mergePaddingObject.js\";\nimport expandToHashMap from \"./expandToHashMap.js\"; // eslint-disable-next-line import/no-unused-modules\n\nexport default function detectOverflow(state, options) {\n if (options === void 0) {\n options = {};\n }\n\n var _options = options,\n _options$placement = _options.placement,\n placement = _options$placement === void 0 ? state.placement : _options$placement,\n _options$strategy = _options.strategy,\n strategy = _options$strategy === void 0 ? state.strategy : _options$strategy,\n _options$boundary = _options.boundary,\n boundary = _options$boundary === void 0 ? clippingParents : _options$boundary,\n _options$rootBoundary = _options.rootBoundary,\n rootBoundary = _options$rootBoundary === void 0 ? viewport : _options$rootBoundary,\n _options$elementConte = _options.elementContext,\n elementContext = _options$elementConte === void 0 ? popper : _options$elementConte,\n _options$altBoundary = _options.altBoundary,\n altBoundary = _options$altBoundary === void 0 ? false : _options$altBoundary,\n _options$padding = _options.padding,\n padding = _options$padding === void 0 ? 0 : _options$padding;\n var paddingObject = mergePaddingObject(typeof padding !== 'number' ? padding : expandToHashMap(padding, basePlacements));\n var altContext = elementContext === popper ? reference : popper;\n var popperRect = state.rects.popper;\n var element = state.elements[altBoundary ? altContext : elementContext];\n var clippingClientRect = getClippingRect(isElement(element) ? element : element.contextElement || getDocumentElement(state.elements.popper), boundary, rootBoundary, strategy);\n var referenceClientRect = getBoundingClientRect(state.elements.reference);\n var popperOffsets = computeOffsets({\n reference: referenceClientRect,\n element: popperRect,\n strategy: 'absolute',\n placement: placement\n });\n var popperClientRect = rectToClientRect(Object.assign({}, popperRect, popperOffsets));\n var elementClientRect = elementContext === popper ? popperClientRect : referenceClientRect; // positive = overflowing the clipping rect\n // 0 or negative = within the clipping rect\n\n var overflowOffsets = {\n top: clippingClientRect.top - elementClientRect.top + paddingObject.top,\n bottom: elementClientRect.bottom - clippingClientRect.bottom + paddingObject.bottom,\n left: clippingClientRect.left - elementClientRect.left + paddingObject.left,\n right: elementClientRect.right - clippingClientRect.right + paddingObject.right\n };\n var offsetData = state.modifiersData.offset; // Offsets can be applied only to the popper element\n\n if (elementContext === popper && offsetData) {\n var offset = offsetData[placement];\n Object.keys(overflowOffsets).forEach(function (key) {\n var multiply = [right, bottom].indexOf(key) >= 0 ? 1 : -1;\n var axis = [top, bottom].indexOf(key) >= 0 ? 'y' : 'x';\n overflowOffsets[key] += offset[axis] * multiply;\n });\n }\n\n return overflowOffsets;\n}","import getOppositePlacement from \"../utils/getOppositePlacement.js\";\nimport getBasePlacement from \"../utils/getBasePlacement.js\";\nimport getOppositeVariationPlacement from \"../utils/getOppositeVariationPlacement.js\";\nimport detectOverflow from \"../utils/detectOverflow.js\";\nimport computeAutoPlacement from \"../utils/computeAutoPlacement.js\";\nimport { bottom, top, start, right, left, auto } from \"../enums.js\";\nimport getVariation from \"../utils/getVariation.js\"; // eslint-disable-next-line import/no-unused-modules\n\nfunction getExpandedFallbackPlacements(placement) {\n if (getBasePlacement(placement) === auto) {\n return [];\n }\n\n var oppositePlacement = getOppositePlacement(placement);\n return [getOppositeVariationPlacement(placement), oppositePlacement, getOppositeVariationPlacement(oppositePlacement)];\n}\n\nfunction flip(_ref) {\n var state = _ref.state,\n options = _ref.options,\n name = _ref.name;\n\n if (state.modifiersData[name]._skip) {\n return;\n }\n\n var _options$mainAxis = options.mainAxis,\n checkMainAxis = _options$mainAxis === void 0 ? true : _options$mainAxis,\n _options$altAxis = options.altAxis,\n checkAltAxis = _options$altAxis === void 0 ? true : _options$altAxis,\n specifiedFallbackPlacements = options.fallbackPlacements,\n padding = options.padding,\n boundary = options.boundary,\n rootBoundary = options.rootBoundary,\n altBoundary = options.altBoundary,\n _options$flipVariatio = options.flipVariations,\n flipVariations = _options$flipVariatio === void 0 ? true : _options$flipVariatio,\n allowedAutoPlacements = options.allowedAutoPlacements;\n var preferredPlacement = state.options.placement;\n var basePlacement = getBasePlacement(preferredPlacement);\n var isBasePlacement = basePlacement === preferredPlacement;\n var fallbackPlacements = specifiedFallbackPlacements || (isBasePlacement || !flipVariations ? [getOppositePlacement(preferredPlacement)] : getExpandedFallbackPlacements(preferredPlacement));\n var placements = [preferredPlacement].concat(fallbackPlacements).reduce(function (acc, placement) {\n return acc.concat(getBasePlacement(placement) === auto ? computeAutoPlacement(state, {\n placement: placement,\n boundary: boundary,\n rootBoundary: rootBoundary,\n padding: padding,\n flipVariations: flipVariations,\n allowedAutoPlacements: allowedAutoPlacements\n }) : placement);\n }, []);\n var referenceRect = state.rects.reference;\n var popperRect = state.rects.popper;\n var checksMap = new Map();\n var makeFallbackChecks = true;\n var firstFittingPlacement = placements[0];\n\n for (var i = 0; i < placements.length; i++) {\n var placement = placements[i];\n\n var _basePlacement = getBasePlacement(placement);\n\n var isStartVariation = getVariation(placement) === start;\n var isVertical = [top, bottom].indexOf(_basePlacement) >= 0;\n var len = isVertical ? 'width' : 'height';\n var overflow = detectOverflow(state, {\n placement: placement,\n boundary: boundary,\n rootBoundary: rootBoundary,\n altBoundary: altBoundary,\n padding: padding\n });\n var mainVariationSide = isVertical ? isStartVariation ? right : left : isStartVariation ? bottom : top;\n\n if (referenceRect[len] > popperRect[len]) {\n mainVariationSide = getOppositePlacement(mainVariationSide);\n }\n\n var altVariationSide = getOppositePlacement(mainVariationSide);\n var checks = [];\n\n if (checkMainAxis) {\n checks.push(overflow[_basePlacement] <= 0);\n }\n\n if (checkAltAxis) {\n checks.push(overflow[mainVariationSide] <= 0, overflow[altVariationSide] <= 0);\n }\n\n if (checks.every(function (check) {\n return check;\n })) {\n firstFittingPlacement = placement;\n makeFallbackChecks = false;\n break;\n }\n\n checksMap.set(placement, checks);\n }\n\n if (makeFallbackChecks) {\n // `2` may be desired in some cases – research later\n var numberOfChecks = flipVariations ? 3 : 1;\n\n var _loop = function _loop(_i) {\n var fittingPlacement = placements.find(function (placement) {\n var checks = checksMap.get(placement);\n\n if (checks) {\n return checks.slice(0, _i).every(function (check) {\n return check;\n });\n }\n });\n\n if (fittingPlacement) {\n firstFittingPlacement = fittingPlacement;\n return \"break\";\n }\n };\n\n for (var _i = numberOfChecks; _i > 0; _i--) {\n var _ret = _loop(_i);\n\n if (_ret === \"break\") break;\n }\n }\n\n if (state.placement !== firstFittingPlacement) {\n state.modifiersData[name]._skip = true;\n state.placement = firstFittingPlacement;\n state.reset = true;\n }\n} // eslint-disable-next-line import/no-unused-modules\n\n\nexport default {\n name: 'flip',\n enabled: true,\n phase: 'main',\n fn: flip,\n requiresIfExists: ['offset'],\n data: {\n _skip: false\n }\n};","import getVariation from \"./getVariation.js\";\nimport { variationPlacements, basePlacements, placements as allPlacements } from \"../enums.js\";\nimport detectOverflow from \"./detectOverflow.js\";\nimport getBasePlacement from \"./getBasePlacement.js\";\nexport default function computeAutoPlacement(state, options) {\n if (options === void 0) {\n options = {};\n }\n\n var _options = options,\n placement = _options.placement,\n boundary = _options.boundary,\n rootBoundary = _options.rootBoundary,\n padding = _options.padding,\n flipVariations = _options.flipVariations,\n _options$allowedAutoP = _options.allowedAutoPlacements,\n allowedAutoPlacements = _options$allowedAutoP === void 0 ? allPlacements : _options$allowedAutoP;\n var variation = getVariation(placement);\n var placements = variation ? flipVariations ? variationPlacements : variationPlacements.filter(function (placement) {\n return getVariation(placement) === variation;\n }) : basePlacements;\n var allowedPlacements = placements.filter(function (placement) {\n return allowedAutoPlacements.indexOf(placement) >= 0;\n });\n\n if (allowedPlacements.length === 0) {\n allowedPlacements = placements;\n } // $FlowFixMe[incompatible-type]: Flow seems to have problems with two array unions...\n\n\n var overflows = allowedPlacements.reduce(function (acc, placement) {\n acc[placement] = detectOverflow(state, {\n placement: placement,\n boundary: boundary,\n rootBoundary: rootBoundary,\n padding: padding\n })[getBasePlacement(placement)];\n return acc;\n }, {});\n return Object.keys(overflows).sort(function (a, b) {\n return overflows[a] - overflows[b];\n });\n}","import { top, bottom, left, right } from \"../enums.js\";\nimport detectOverflow from \"../utils/detectOverflow.js\";\n\nfunction getSideOffsets(overflow, rect, preventedOffsets) {\n if (preventedOffsets === void 0) {\n preventedOffsets = {\n x: 0,\n y: 0\n };\n }\n\n return {\n top: overflow.top - rect.height - preventedOffsets.y,\n right: overflow.right - rect.width + preventedOffsets.x,\n bottom: overflow.bottom - rect.height + preventedOffsets.y,\n left: overflow.left - rect.width - preventedOffsets.x\n };\n}\n\nfunction isAnySideFullyClipped(overflow) {\n return [top, right, bottom, left].some(function (side) {\n return overflow[side] >= 0;\n });\n}\n\nfunction hide(_ref) {\n var state = _ref.state,\n name = _ref.name;\n var referenceRect = state.rects.reference;\n var popperRect = state.rects.popper;\n var preventedOffsets = state.modifiersData.preventOverflow;\n var referenceOverflow = detectOverflow(state, {\n elementContext: 'reference'\n });\n var popperAltOverflow = detectOverflow(state, {\n altBoundary: true\n });\n var referenceClippingOffsets = getSideOffsets(referenceOverflow, referenceRect);\n var popperEscapeOffsets = getSideOffsets(popperAltOverflow, popperRect, preventedOffsets);\n var isReferenceHidden = isAnySideFullyClipped(referenceClippingOffsets);\n var hasPopperEscaped = isAnySideFullyClipped(popperEscapeOffsets);\n state.modifiersData[name] = {\n referenceClippingOffsets: referenceClippingOffsets,\n popperEscapeOffsets: popperEscapeOffsets,\n isReferenceHidden: isReferenceHidden,\n hasPopperEscaped: hasPopperEscaped\n };\n state.attributes.popper = Object.assign({}, state.attributes.popper, {\n 'data-popper-reference-hidden': isReferenceHidden,\n 'data-popper-escaped': hasPopperEscaped\n });\n} // eslint-disable-next-line import/no-unused-modules\n\n\nexport default {\n name: 'hide',\n enabled: true,\n phase: 'main',\n requiresIfExists: ['preventOverflow'],\n fn: hide\n};","import getBasePlacement from \"../utils/getBasePlacement.js\";\nimport { top, left, right, placements } from \"../enums.js\"; // eslint-disable-next-line import/no-unused-modules\n\nexport function distanceAndSkiddingToXY(placement, rects, offset) {\n var basePlacement = getBasePlacement(placement);\n var invertDistance = [left, top].indexOf(basePlacement) >= 0 ? -1 : 1;\n\n var _ref = typeof offset === 'function' ? offset(Object.assign({}, rects, {\n placement: placement\n })) : offset,\n skidding = _ref[0],\n distance = _ref[1];\n\n skidding = skidding || 0;\n distance = (distance || 0) * invertDistance;\n return [left, right].indexOf(basePlacement) >= 0 ? {\n x: distance,\n y: skidding\n } : {\n x: skidding,\n y: distance\n };\n}\n\nfunction offset(_ref2) {\n var state = _ref2.state,\n options = _ref2.options,\n name = _ref2.name;\n var _options$offset = options.offset,\n offset = _options$offset === void 0 ? [0, 0] : _options$offset;\n var data = placements.reduce(function (acc, placement) {\n acc[placement] = distanceAndSkiddingToXY(placement, state.rects, offset);\n return acc;\n }, {});\n var _data$state$placement = data[state.placement],\n x = _data$state$placement.x,\n y = _data$state$placement.y;\n\n if (state.modifiersData.popperOffsets != null) {\n state.modifiersData.popperOffsets.x += x;\n state.modifiersData.popperOffsets.y += y;\n }\n\n state.modifiersData[name] = data;\n} // eslint-disable-next-line import/no-unused-modules\n\n\nexport default {\n name: 'offset',\n enabled: true,\n phase: 'main',\n requires: ['popperOffsets'],\n fn: offset\n};","import computeOffsets from \"../utils/computeOffsets.js\";\n\nfunction popperOffsets(_ref) {\n var state = _ref.state,\n name = _ref.name;\n // Offsets are the actual position the popper needs to have to be\n // properly positioned near its reference element\n // This is the most basic placement, and will be adjusted by\n // the modifiers in the next step\n state.modifiersData[name] = computeOffsets({\n reference: state.rects.reference,\n element: state.rects.popper,\n strategy: 'absolute',\n placement: state.placement\n });\n} // eslint-disable-next-line import/no-unused-modules\n\n\nexport default {\n name: 'popperOffsets',\n enabled: true,\n phase: 'read',\n fn: popperOffsets,\n data: {}\n};","import { top, left, right, bottom, start } from \"../enums.js\";\nimport getBasePlacement from \"../utils/getBasePlacement.js\";\nimport getMainAxisFromPlacement from \"../utils/getMainAxisFromPlacement.js\";\nimport getAltAxis from \"../utils/getAltAxis.js\";\nimport { within, withinMaxClamp } from \"../utils/within.js\";\nimport getLayoutRect from \"../dom-utils/getLayoutRect.js\";\nimport getOffsetParent from \"../dom-utils/getOffsetParent.js\";\nimport detectOverflow from \"../utils/detectOverflow.js\";\nimport getVariation from \"../utils/getVariation.js\";\nimport getFreshSideObject from \"../utils/getFreshSideObject.js\";\nimport { min as mathMin, max as mathMax } from \"../utils/math.js\";\n\nfunction preventOverflow(_ref) {\n var state = _ref.state,\n options = _ref.options,\n name = _ref.name;\n var _options$mainAxis = options.mainAxis,\n checkMainAxis = _options$mainAxis === void 0 ? true : _options$mainAxis,\n _options$altAxis = options.altAxis,\n checkAltAxis = _options$altAxis === void 0 ? false : _options$altAxis,\n boundary = options.boundary,\n rootBoundary = options.rootBoundary,\n altBoundary = options.altBoundary,\n padding = options.padding,\n _options$tether = options.tether,\n tether = _options$tether === void 0 ? true : _options$tether,\n _options$tetherOffset = options.tetherOffset,\n tetherOffset = _options$tetherOffset === void 0 ? 0 : _options$tetherOffset;\n var overflow = detectOverflow(state, {\n boundary: boundary,\n rootBoundary: rootBoundary,\n padding: padding,\n altBoundary: altBoundary\n });\n var basePlacement = getBasePlacement(state.placement);\n var variation = getVariation(state.placement);\n var isBasePlacement = !variation;\n var mainAxis = getMainAxisFromPlacement(basePlacement);\n var altAxis = getAltAxis(mainAxis);\n var popperOffsets = state.modifiersData.popperOffsets;\n var referenceRect = state.rects.reference;\n var popperRect = state.rects.popper;\n var tetherOffsetValue = typeof tetherOffset === 'function' ? tetherOffset(Object.assign({}, state.rects, {\n placement: state.placement\n })) : tetherOffset;\n var normalizedTetherOffsetValue = typeof tetherOffsetValue === 'number' ? {\n mainAxis: tetherOffsetValue,\n altAxis: tetherOffsetValue\n } : Object.assign({\n mainAxis: 0,\n altAxis: 0\n }, tetherOffsetValue);\n var offsetModifierState = state.modifiersData.offset ? state.modifiersData.offset[state.placement] : null;\n var data = {\n x: 0,\n y: 0\n };\n\n if (!popperOffsets) {\n return;\n }\n\n if (checkMainAxis) {\n var _offsetModifierState$;\n\n var mainSide = mainAxis === 'y' ? top : left;\n var altSide = mainAxis === 'y' ? bottom : right;\n var len = mainAxis === 'y' ? 'height' : 'width';\n var offset = popperOffsets[mainAxis];\n var min = offset + overflow[mainSide];\n var max = offset - overflow[altSide];\n var additive = tether ? -popperRect[len] / 2 : 0;\n var minLen = variation === start ? referenceRect[len] : popperRect[len];\n var maxLen = variation === start ? -popperRect[len] : -referenceRect[len]; // We need to include the arrow in the calculation so the arrow doesn't go\n // outside the reference bounds\n\n var arrowElement = state.elements.arrow;\n var arrowRect = tether && arrowElement ? getLayoutRect(arrowElement) : {\n width: 0,\n height: 0\n };\n var arrowPaddingObject = state.modifiersData['arrow#persistent'] ? state.modifiersData['arrow#persistent'].padding : getFreshSideObject();\n var arrowPaddingMin = arrowPaddingObject[mainSide];\n var arrowPaddingMax = arrowPaddingObject[altSide]; // If the reference length is smaller than the arrow length, we don't want\n // to include its full size in the calculation. If the reference is small\n // and near the edge of a boundary, the popper can overflow even if the\n // reference is not overflowing as well (e.g. virtual elements with no\n // width or height)\n\n var arrowLen = within(0, referenceRect[len], arrowRect[len]);\n var minOffset = isBasePlacement ? referenceRect[len] / 2 - additive - arrowLen - arrowPaddingMin - normalizedTetherOffsetValue.mainAxis : minLen - arrowLen - arrowPaddingMin - normalizedTetherOffsetValue.mainAxis;\n var maxOffset = isBasePlacement ? -referenceRect[len] / 2 + additive + arrowLen + arrowPaddingMax + normalizedTetherOffsetValue.mainAxis : maxLen + arrowLen + arrowPaddingMax + normalizedTetherOffsetValue.mainAxis;\n var arrowOffsetParent = state.elements.arrow && getOffsetParent(state.elements.arrow);\n var clientOffset = arrowOffsetParent ? mainAxis === 'y' ? arrowOffsetParent.clientTop || 0 : arrowOffsetParent.clientLeft || 0 : 0;\n var offsetModifierValue = (_offsetModifierState$ = offsetModifierState == null ? void 0 : offsetModifierState[mainAxis]) != null ? _offsetModifierState$ : 0;\n var tetherMin = offset + minOffset - offsetModifierValue - clientOffset;\n var tetherMax = offset + maxOffset - offsetModifierValue;\n var preventedOffset = within(tether ? mathMin(min, tetherMin) : min, offset, tether ? mathMax(max, tetherMax) : max);\n popperOffsets[mainAxis] = preventedOffset;\n data[mainAxis] = preventedOffset - offset;\n }\n\n if (checkAltAxis) {\n var _offsetModifierState$2;\n\n var _mainSide = mainAxis === 'x' ? top : left;\n\n var _altSide = mainAxis === 'x' ? bottom : right;\n\n var _offset = popperOffsets[altAxis];\n\n var _len = altAxis === 'y' ? 'height' : 'width';\n\n var _min = _offset + overflow[_mainSide];\n\n var _max = _offset - overflow[_altSide];\n\n var isOriginSide = [top, left].indexOf(basePlacement) !== -1;\n\n var _offsetModifierValue = (_offsetModifierState$2 = offsetModifierState == null ? void 0 : offsetModifierState[altAxis]) != null ? _offsetModifierState$2 : 0;\n\n var _tetherMin = isOriginSide ? _min : _offset - referenceRect[_len] - popperRect[_len] - _offsetModifierValue + normalizedTetherOffsetValue.altAxis;\n\n var _tetherMax = isOriginSide ? _offset + referenceRect[_len] + popperRect[_len] - _offsetModifierValue - normalizedTetherOffsetValue.altAxis : _max;\n\n var _preventedOffset = tether && isOriginSide ? withinMaxClamp(_tetherMin, _offset, _tetherMax) : within(tether ? _tetherMin : _min, _offset, tether ? _tetherMax : _max);\n\n popperOffsets[altAxis] = _preventedOffset;\n data[altAxis] = _preventedOffset - _offset;\n }\n\n state.modifiersData[name] = data;\n} // eslint-disable-next-line import/no-unused-modules\n\n\nexport default {\n name: 'preventOverflow',\n enabled: true,\n phase: 'main',\n fn: preventOverflow,\n requiresIfExists: ['offset']\n};","export default function getAltAxis(axis) {\n return axis === 'x' ? 'y' : 'x';\n}","import getBoundingClientRect from \"./getBoundingClientRect.js\";\nimport getNodeScroll from \"./getNodeScroll.js\";\nimport getNodeName from \"./getNodeName.js\";\nimport { isHTMLElement } from \"./instanceOf.js\";\nimport getWindowScrollBarX from \"./getWindowScrollBarX.js\";\nimport getDocumentElement from \"./getDocumentElement.js\";\nimport isScrollParent from \"./isScrollParent.js\";\nimport { round } from \"../utils/math.js\";\n\nfunction isElementScaled(element) {\n var rect = element.getBoundingClientRect();\n var scaleX = round(rect.width) / element.offsetWidth || 1;\n var scaleY = round(rect.height) / element.offsetHeight || 1;\n return scaleX !== 1 || scaleY !== 1;\n} // Returns the composite rect of an element relative to its offsetParent.\n// Composite means it takes into account transforms as well as layout.\n\n\nexport default function getCompositeRect(elementOrVirtualElement, offsetParent, isFixed) {\n if (isFixed === void 0) {\n isFixed = false;\n }\n\n var isOffsetParentAnElement = isHTMLElement(offsetParent);\n var offsetParentIsScaled = isHTMLElement(offsetParent) && isElementScaled(offsetParent);\n var documentElement = getDocumentElement(offsetParent);\n var rect = getBoundingClientRect(elementOrVirtualElement, offsetParentIsScaled, isFixed);\n var scroll = {\n scrollLeft: 0,\n scrollTop: 0\n };\n var offsets = {\n x: 0,\n y: 0\n };\n\n if (isOffsetParentAnElement || !isOffsetParentAnElement && !isFixed) {\n if (getNodeName(offsetParent) !== 'body' || // https://github.com/popperjs/popper-core/issues/1078\n isScrollParent(documentElement)) {\n scroll = getNodeScroll(offsetParent);\n }\n\n if (isHTMLElement(offsetParent)) {\n offsets = getBoundingClientRect(offsetParent, true);\n offsets.x += offsetParent.clientLeft;\n offsets.y += offsetParent.clientTop;\n } else if (documentElement) {\n offsets.x = getWindowScrollBarX(documentElement);\n }\n }\n\n return {\n x: rect.left + scroll.scrollLeft - offsets.x,\n y: rect.top + scroll.scrollTop - offsets.y,\n width: rect.width,\n height: rect.height\n };\n}","import getWindowScroll from \"./getWindowScroll.js\";\nimport getWindow from \"./getWindow.js\";\nimport { isHTMLElement } from \"./instanceOf.js\";\nimport getHTMLElementScroll from \"./getHTMLElementScroll.js\";\nexport default function getNodeScroll(node) {\n if (node === getWindow(node) || !isHTMLElement(node)) {\n return getWindowScroll(node);\n } else {\n return getHTMLElementScroll(node);\n }\n}","export default function getHTMLElementScroll(element) {\n return {\n scrollLeft: element.scrollLeft,\n scrollTop: element.scrollTop\n };\n}","import { modifierPhases } from \"../enums.js\"; // source: https://stackoverflow.com/questions/49875255\n\nfunction order(modifiers) {\n var map = new Map();\n var visited = new Set();\n var result = [];\n modifiers.forEach(function (modifier) {\n map.set(modifier.name, modifier);\n }); // On visiting object, check for its dependencies and visit them recursively\n\n function sort(modifier) {\n visited.add(modifier.name);\n var requires = [].concat(modifier.requires || [], modifier.requiresIfExists || []);\n requires.forEach(function (dep) {\n if (!visited.has(dep)) {\n var depModifier = map.get(dep);\n\n if (depModifier) {\n sort(depModifier);\n }\n }\n });\n result.push(modifier);\n }\n\n modifiers.forEach(function (modifier) {\n if (!visited.has(modifier.name)) {\n // check for visited object\n sort(modifier);\n }\n });\n return result;\n}\n\nexport default function orderModifiers(modifiers) {\n // order based on dependencies\n var orderedModifiers = order(modifiers); // order based on phase\n\n return modifierPhases.reduce(function (acc, phase) {\n return acc.concat(orderedModifiers.filter(function (modifier) {\n return modifier.phase === phase;\n }));\n }, []);\n}","import getCompositeRect from \"./dom-utils/getCompositeRect.js\";\nimport getLayoutRect from \"./dom-utils/getLayoutRect.js\";\nimport listScrollParents from \"./dom-utils/listScrollParents.js\";\nimport getOffsetParent from \"./dom-utils/getOffsetParent.js\";\nimport orderModifiers from \"./utils/orderModifiers.js\";\nimport debounce from \"./utils/debounce.js\";\nimport mergeByName from \"./utils/mergeByName.js\";\nimport detectOverflow from \"./utils/detectOverflow.js\";\nimport { isElement } from \"./dom-utils/instanceOf.js\";\nvar DEFAULT_OPTIONS = {\n placement: 'bottom',\n modifiers: [],\n strategy: 'absolute'\n};\n\nfunction areValidElements() {\n for (var _len = arguments.length, args = new Array(_len), _key = 0; _key < _len; _key++) {\n args[_key] = arguments[_key];\n }\n\n return !args.some(function (element) {\n return !(element && typeof element.getBoundingClientRect === 'function');\n });\n}\n\nexport function popperGenerator(generatorOptions) {\n if (generatorOptions === void 0) {\n generatorOptions = {};\n }\n\n var _generatorOptions = generatorOptions,\n _generatorOptions$def = _generatorOptions.defaultModifiers,\n defaultModifiers = _generatorOptions$def === void 0 ? [] : _generatorOptions$def,\n _generatorOptions$def2 = _generatorOptions.defaultOptions,\n defaultOptions = _generatorOptions$def2 === void 0 ? DEFAULT_OPTIONS : _generatorOptions$def2;\n return function createPopper(reference, popper, options) {\n if (options === void 0) {\n options = defaultOptions;\n }\n\n var state = {\n placement: 'bottom',\n orderedModifiers: [],\n options: Object.assign({}, DEFAULT_OPTIONS, defaultOptions),\n modifiersData: {},\n elements: {\n reference: reference,\n popper: popper\n },\n attributes: {},\n styles: {}\n };\n var effectCleanupFns = [];\n var isDestroyed = false;\n var instance = {\n state: state,\n setOptions: function setOptions(setOptionsAction) {\n var options = typeof setOptionsAction === 'function' ? setOptionsAction(state.options) : setOptionsAction;\n cleanupModifierEffects();\n state.options = Object.assign({}, defaultOptions, state.options, options);\n state.scrollParents = {\n reference: isElement(reference) ? listScrollParents(reference) : reference.contextElement ? listScrollParents(reference.contextElement) : [],\n popper: listScrollParents(popper)\n }; // Orders the modifiers based on their dependencies and `phase`\n // properties\n\n var orderedModifiers = orderModifiers(mergeByName([].concat(defaultModifiers, state.options.modifiers))); // Strip out disabled modifiers\n\n state.orderedModifiers = orderedModifiers.filter(function (m) {\n return m.enabled;\n });\n runModifierEffects();\n return instance.update();\n },\n // Sync update – it will always be executed, even if not necessary. This\n // is useful for low frequency updates where sync behavior simplifies the\n // logic.\n // For high frequency updates (e.g. `resize` and `scroll` events), always\n // prefer the async Popper#update method\n forceUpdate: function forceUpdate() {\n if (isDestroyed) {\n return;\n }\n\n var _state$elements = state.elements,\n reference = _state$elements.reference,\n popper = _state$elements.popper; // Don't proceed if `reference` or `popper` are not valid elements\n // anymore\n\n if (!areValidElements(reference, popper)) {\n return;\n } // Store the reference and popper rects to be read by modifiers\n\n\n state.rects = {\n reference: getCompositeRect(reference, getOffsetParent(popper), state.options.strategy === 'fixed'),\n popper: getLayoutRect(popper)\n }; // Modifiers have the ability to reset the current update cycle. The\n // most common use case for this is the `flip` modifier changing the\n // placement, which then needs to re-run all the modifiers, because the\n // logic was previously ran for the previous placement and is therefore\n // stale/incorrect\n\n state.reset = false;\n state.placement = state.options.placement; // On each update cycle, the `modifiersData` property for each modifier\n // is filled with the initial data specified by the modifier. This means\n // it doesn't persist and is fresh on each update.\n // To ensure persistent data, use `${name}#persistent`\n\n state.orderedModifiers.forEach(function (modifier) {\n return state.modifiersData[modifier.name] = Object.assign({}, modifier.data);\n });\n\n for (var index = 0; index < state.orderedModifiers.length; index++) {\n if (state.reset === true) {\n state.reset = false;\n index = -1;\n continue;\n }\n\n var _state$orderedModifie = state.orderedModifiers[index],\n fn = _state$orderedModifie.fn,\n _state$orderedModifie2 = _state$orderedModifie.options,\n _options = _state$orderedModifie2 === void 0 ? {} : _state$orderedModifie2,\n name = _state$orderedModifie.name;\n\n if (typeof fn === 'function') {\n state = fn({\n state: state,\n options: _options,\n name: name,\n instance: instance\n }) || state;\n }\n }\n },\n // Async and optimistically optimized update – it will not be executed if\n // not necessary (debounced to run at most once-per-tick)\n update: debounce(function () {\n return new Promise(function (resolve) {\n instance.forceUpdate();\n resolve(state);\n });\n }),\n destroy: function destroy() {\n cleanupModifierEffects();\n isDestroyed = true;\n }\n };\n\n if (!areValidElements(reference, popper)) {\n return instance;\n }\n\n instance.setOptions(options).then(function (state) {\n if (!isDestroyed && options.onFirstUpdate) {\n options.onFirstUpdate(state);\n }\n }); // Modifiers have the ability to execute arbitrary code before the first\n // update cycle runs. They will be executed in the same order as the update\n // cycle. This is useful when a modifier adds some persistent data that\n // other modifiers need to use, but the modifier is run after the dependent\n // one.\n\n function runModifierEffects() {\n state.orderedModifiers.forEach(function (_ref) {\n var name = _ref.name,\n _ref$options = _ref.options,\n options = _ref$options === void 0 ? {} : _ref$options,\n effect = _ref.effect;\n\n if (typeof effect === 'function') {\n var cleanupFn = effect({\n state: state,\n name: name,\n instance: instance,\n options: options\n });\n\n var noopFn = function noopFn() {};\n\n effectCleanupFns.push(cleanupFn || noopFn);\n }\n });\n }\n\n function cleanupModifierEffects() {\n effectCleanupFns.forEach(function (fn) {\n return fn();\n });\n effectCleanupFns = [];\n }\n\n return instance;\n };\n}\nexport var createPopper = /*#__PURE__*/popperGenerator(); // eslint-disable-next-line import/no-unused-modules\n\nexport { detectOverflow };","export default function debounce(fn) {\n var pending;\n return function () {\n if (!pending) {\n pending = new Promise(function (resolve) {\n Promise.resolve().then(function () {\n pending = undefined;\n resolve(fn());\n });\n });\n }\n\n return pending;\n };\n}","export default function mergeByName(modifiers) {\n var merged = modifiers.reduce(function (merged, current) {\n var existing = merged[current.name];\n merged[current.name] = existing ? Object.assign({}, existing, current, {\n options: Object.assign({}, existing.options, current.options),\n data: Object.assign({}, existing.data, current.data)\n }) : current;\n return merged;\n }, {}); // IE11 does not support Object.values\n\n return Object.keys(merged).map(function (key) {\n return merged[key];\n });\n}","import { popperGenerator, detectOverflow } from \"./createPopper.js\";\nimport eventListeners from \"./modifiers/eventListeners.js\";\nimport popperOffsets from \"./modifiers/popperOffsets.js\";\nimport computeStyles from \"./modifiers/computeStyles.js\";\nimport applyStyles from \"./modifiers/applyStyles.js\";\nimport offset from \"./modifiers/offset.js\";\nimport flip from \"./modifiers/flip.js\";\nimport preventOverflow from \"./modifiers/preventOverflow.js\";\nimport arrow from \"./modifiers/arrow.js\";\nimport hide from \"./modifiers/hide.js\";\nvar defaultModifiers = [eventListeners, popperOffsets, computeStyles, applyStyles, offset, flip, preventOverflow, arrow, hide];\nvar createPopper = /*#__PURE__*/popperGenerator({\n defaultModifiers: defaultModifiers\n}); // eslint-disable-next-line import/no-unused-modules\n\nexport { createPopper, popperGenerator, defaultModifiers, detectOverflow }; // eslint-disable-next-line import/no-unused-modules\n\nexport { createPopper as createPopperLite } from \"./popper-lite.js\"; // eslint-disable-next-line import/no-unused-modules\n\nexport * from \"./modifiers/index.js\";","import { popperGenerator, detectOverflow } from \"./createPopper.js\";\nimport eventListeners from \"./modifiers/eventListeners.js\";\nimport popperOffsets from \"./modifiers/popperOffsets.js\";\nimport computeStyles from \"./modifiers/computeStyles.js\";\nimport applyStyles from \"./modifiers/applyStyles.js\";\nvar defaultModifiers = [eventListeners, popperOffsets, computeStyles, applyStyles];\nvar createPopper = /*#__PURE__*/popperGenerator({\n defaultModifiers: defaultModifiers\n}); // eslint-disable-next-line import/no-unused-modules\n\nexport { createPopper, popperGenerator, defaultModifiers, detectOverflow };","/*!\n * Bootstrap v5.3.2 (https://getbootstrap.com/)\n * Copyright 2011-2023 The Bootstrap Authors (https://github.com/twbs/bootstrap/graphs/contributors)\n * Licensed under MIT (https://github.com/twbs/bootstrap/blob/main/LICENSE)\n */\nimport * as Popper from '@popperjs/core';\n\n/**\n * --------------------------------------------------------------------------\n * Bootstrap dom/data.js\n * Licensed under MIT (https://github.com/twbs/bootstrap/blob/main/LICENSE)\n * --------------------------------------------------------------------------\n */\n\n/**\n * Constants\n */\n\nconst elementMap = new Map();\nconst Data = {\n set(element, key, instance) {\n if (!elementMap.has(element)) {\n elementMap.set(element, new Map());\n }\n const instanceMap = elementMap.get(element);\n\n // make it clear we only want one instance per element\n // can be removed later when multiple key/instances are fine to be used\n if (!instanceMap.has(key) && instanceMap.size !== 0) {\n // eslint-disable-next-line no-console\n console.error(`Bootstrap doesn't allow more than one instance per element. Bound instance: ${Array.from(instanceMap.keys())[0]}.`);\n return;\n }\n instanceMap.set(key, instance);\n },\n get(element, key) {\n if (elementMap.has(element)) {\n return elementMap.get(element).get(key) || null;\n }\n return null;\n },\n remove(element, key) {\n if (!elementMap.has(element)) {\n return;\n }\n const instanceMap = elementMap.get(element);\n instanceMap.delete(key);\n\n // free up element references if there are no instances left for an element\n if (instanceMap.size === 0) {\n elementMap.delete(element);\n }\n }\n};\n\n/**\n * --------------------------------------------------------------------------\n * Bootstrap util/index.js\n * Licensed under MIT (https://github.com/twbs/bootstrap/blob/main/LICENSE)\n * --------------------------------------------------------------------------\n */\n\nconst MAX_UID = 1000000;\nconst MILLISECONDS_MULTIPLIER = 1000;\nconst TRANSITION_END = 'transitionend';\n\n/**\n * Properly escape IDs selectors to handle weird IDs\n * @param {string} selector\n * @returns {string}\n */\nconst parseSelector = selector => {\n if (selector && window.CSS && window.CSS.escape) {\n // document.querySelector needs escaping to handle IDs (html5+) containing for instance /\n selector = selector.replace(/#([^\\s\"#']+)/g, (match, id) => `#${CSS.escape(id)}`);\n }\n return selector;\n};\n\n// Shout-out Angus Croll (https://goo.gl/pxwQGp)\nconst toType = object => {\n if (object === null || object === undefined) {\n return `${object}`;\n }\n return Object.prototype.toString.call(object).match(/\\s([a-z]+)/i)[1].toLowerCase();\n};\n\n/**\n * Public Util API\n */\n\nconst getUID = prefix => {\n do {\n prefix += Math.floor(Math.random() * MAX_UID);\n } while (document.getElementById(prefix));\n return prefix;\n};\nconst getTransitionDurationFromElement = element => {\n if (!element) {\n return 0;\n }\n\n // Get transition-duration of the element\n let {\n transitionDuration,\n transitionDelay\n } = window.getComputedStyle(element);\n const floatTransitionDuration = Number.parseFloat(transitionDuration);\n const floatTransitionDelay = Number.parseFloat(transitionDelay);\n\n // Return 0 if element or transition duration is not found\n if (!floatTransitionDuration && !floatTransitionDelay) {\n return 0;\n }\n\n // If multiple durations are defined, take the first\n transitionDuration = transitionDuration.split(',')[0];\n transitionDelay = transitionDelay.split(',')[0];\n return (Number.parseFloat(transitionDuration) + Number.parseFloat(transitionDelay)) * MILLISECONDS_MULTIPLIER;\n};\nconst triggerTransitionEnd = element => {\n element.dispatchEvent(new Event(TRANSITION_END));\n};\nconst isElement = object => {\n if (!object || typeof object !== 'object') {\n return false;\n }\n if (typeof object.jquery !== 'undefined') {\n object = object[0];\n }\n return typeof object.nodeType !== 'undefined';\n};\nconst getElement = object => {\n // it's a jQuery object or a node element\n if (isElement(object)) {\n return object.jquery ? object[0] : object;\n }\n if (typeof object === 'string' && object.length > 0) {\n return document.querySelector(parseSelector(object));\n }\n return null;\n};\nconst isVisible = element => {\n if (!isElement(element) || element.getClientRects().length === 0) {\n return false;\n }\n const elementIsVisible = getComputedStyle(element).getPropertyValue('visibility') === 'visible';\n // Handle `details` element as its content may falsie appear visible when it is closed\n const closedDetails = element.closest('details:not([open])');\n if (!closedDetails) {\n return elementIsVisible;\n }\n if (closedDetails !== element) {\n const summary = element.closest('summary');\n if (summary && summary.parentNode !== closedDetails) {\n return false;\n }\n if (summary === null) {\n return false;\n }\n }\n return elementIsVisible;\n};\nconst isDisabled = element => {\n if (!element || element.nodeType !== Node.ELEMENT_NODE) {\n return true;\n }\n if (element.classList.contains('disabled')) {\n return true;\n }\n if (typeof element.disabled !== 'undefined') {\n return element.disabled;\n }\n return element.hasAttribute('disabled') && element.getAttribute('disabled') !== 'false';\n};\nconst findShadowRoot = element => {\n if (!document.documentElement.attachShadow) {\n return null;\n }\n\n // Can find the shadow root otherwise it'll return the document\n if (typeof element.getRootNode === 'function') {\n const root = element.getRootNode();\n return root instanceof ShadowRoot ? root : null;\n }\n if (element instanceof ShadowRoot) {\n return element;\n }\n\n // when we don't find a shadow root\n if (!element.parentNode) {\n return null;\n }\n return findShadowRoot(element.parentNode);\n};\nconst noop = () => {};\n\n/**\n * Trick to restart an element's animation\n *\n * @param {HTMLElement} element\n * @return void\n *\n * @see https://www.charistheo.io/blog/2021/02/restart-a-css-animation-with-javascript/#restarting-a-css-animation\n */\nconst reflow = element => {\n element.offsetHeight; // eslint-disable-line no-unused-expressions\n};\n\nconst getjQuery = () => {\n if (window.jQuery && !document.body.hasAttribute('data-bs-no-jquery')) {\n return window.jQuery;\n }\n return null;\n};\nconst DOMContentLoadedCallbacks = [];\nconst onDOMContentLoaded = callback => {\n if (document.readyState === 'loading') {\n // add listener on the first call when the document is in loading state\n if (!DOMContentLoadedCallbacks.length) {\n document.addEventListener('DOMContentLoaded', () => {\n for (const callback of DOMContentLoadedCallbacks) {\n callback();\n }\n });\n }\n DOMContentLoadedCallbacks.push(callback);\n } else {\n callback();\n }\n};\nconst isRTL = () => document.documentElement.dir === 'rtl';\nconst defineJQueryPlugin = plugin => {\n onDOMContentLoaded(() => {\n const $ = getjQuery();\n /* istanbul ignore if */\n if ($) {\n const name = plugin.NAME;\n const JQUERY_NO_CONFLICT = $.fn[name];\n $.fn[name] = plugin.jQueryInterface;\n $.fn[name].Constructor = plugin;\n $.fn[name].noConflict = () => {\n $.fn[name] = JQUERY_NO_CONFLICT;\n return plugin.jQueryInterface;\n };\n }\n });\n};\nconst execute = (possibleCallback, args = [], defaultValue = possibleCallback) => {\n return typeof possibleCallback === 'function' ? possibleCallback(...args) : defaultValue;\n};\nconst executeAfterTransition = (callback, transitionElement, waitForTransition = true) => {\n if (!waitForTransition) {\n execute(callback);\n return;\n }\n const durationPadding = 5;\n const emulatedDuration = getTransitionDurationFromElement(transitionElement) + durationPadding;\n let called = false;\n const handler = ({\n target\n }) => {\n if (target !== transitionElement) {\n return;\n }\n called = true;\n transitionElement.removeEventListener(TRANSITION_END, handler);\n execute(callback);\n };\n transitionElement.addEventListener(TRANSITION_END, handler);\n setTimeout(() => {\n if (!called) {\n triggerTransitionEnd(transitionElement);\n }\n }, emulatedDuration);\n};\n\n/**\n * Return the previous/next element of a list.\n *\n * @param {array} list The list of elements\n * @param activeElement The active element\n * @param shouldGetNext Choose to get next or previous element\n * @param isCycleAllowed\n * @return {Element|elem} The proper element\n */\nconst getNextActiveElement = (list, activeElement, shouldGetNext, isCycleAllowed) => {\n const listLength = list.length;\n let index = list.indexOf(activeElement);\n\n // if the element does not exist in the list return an element\n // depending on the direction and if cycle is allowed\n if (index === -1) {\n return !shouldGetNext && isCycleAllowed ? list[listLength - 1] : list[0];\n }\n index += shouldGetNext ? 1 : -1;\n if (isCycleAllowed) {\n index = (index + listLength) % listLength;\n }\n return list[Math.max(0, Math.min(index, listLength - 1))];\n};\n\n/**\n * --------------------------------------------------------------------------\n * Bootstrap dom/event-handler.js\n * Licensed under MIT (https://github.com/twbs/bootstrap/blob/main/LICENSE)\n * --------------------------------------------------------------------------\n */\n\n\n/**\n * Constants\n */\n\nconst namespaceRegex = /[^.]*(?=\\..*)\\.|.*/;\nconst stripNameRegex = /\\..*/;\nconst stripUidRegex = /::\\d+$/;\nconst eventRegistry = {}; // Events storage\nlet uidEvent = 1;\nconst customEvents = {\n mouseenter: 'mouseover',\n mouseleave: 'mouseout'\n};\nconst nativeEvents = new Set(['click', 'dblclick', 'mouseup', 'mousedown', 'contextmenu', 'mousewheel', 'DOMMouseScroll', 'mouseover', 'mouseout', 'mousemove', 'selectstart', 'selectend', 'keydown', 'keypress', 'keyup', 'orientationchange', 'touchstart', 'touchmove', 'touchend', 'touchcancel', 'pointerdown', 'pointermove', 'pointerup', 'pointerleave', 'pointercancel', 'gesturestart', 'gesturechange', 'gestureend', 'focus', 'blur', 'change', 'reset', 'select', 'submit', 'focusin', 'focusout', 'load', 'unload', 'beforeunload', 'resize', 'move', 'DOMContentLoaded', 'readystatechange', 'error', 'abort', 'scroll']);\n\n/**\n * Private methods\n */\n\nfunction makeEventUid(element, uid) {\n return uid && `${uid}::${uidEvent++}` || element.uidEvent || uidEvent++;\n}\nfunction getElementEvents(element) {\n const uid = makeEventUid(element);\n element.uidEvent = uid;\n eventRegistry[uid] = eventRegistry[uid] || {};\n return eventRegistry[uid];\n}\nfunction bootstrapHandler(element, fn) {\n return function handler(event) {\n hydrateObj(event, {\n delegateTarget: element\n });\n if (handler.oneOff) {\n EventHandler.off(element, event.type, fn);\n }\n return fn.apply(element, [event]);\n };\n}\nfunction bootstrapDelegationHandler(element, selector, fn) {\n return function handler(event) {\n const domElements = element.querySelectorAll(selector);\n for (let {\n target\n } = event; target && target !== this; target = target.parentNode) {\n for (const domElement of domElements) {\n if (domElement !== target) {\n continue;\n }\n hydrateObj(event, {\n delegateTarget: target\n });\n if (handler.oneOff) {\n EventHandler.off(element, event.type, selector, fn);\n }\n return fn.apply(target, [event]);\n }\n }\n };\n}\nfunction findHandler(events, callable, delegationSelector = null) {\n return Object.values(events).find(event => event.callable === callable && event.delegationSelector === delegationSelector);\n}\nfunction normalizeParameters(originalTypeEvent, handler, delegationFunction) {\n const isDelegated = typeof handler === 'string';\n // TODO: tooltip passes `false` instead of selector, so we need to check\n const callable = isDelegated ? delegationFunction : handler || delegationFunction;\n let typeEvent = getTypeEvent(originalTypeEvent);\n if (!nativeEvents.has(typeEvent)) {\n typeEvent = originalTypeEvent;\n }\n return [isDelegated, callable, typeEvent];\n}\nfunction addHandler(element, originalTypeEvent, handler, delegationFunction, oneOff) {\n if (typeof originalTypeEvent !== 'string' || !element) {\n return;\n }\n let [isDelegated, callable, typeEvent] = normalizeParameters(originalTypeEvent, handler, delegationFunction);\n\n // in case of mouseenter or mouseleave wrap the handler within a function that checks for its DOM position\n // this prevents the handler from being dispatched the same way as mouseover or mouseout does\n if (originalTypeEvent in customEvents) {\n const wrapFunction = fn => {\n return function (event) {\n if (!event.relatedTarget || event.relatedTarget !== event.delegateTarget && !event.delegateTarget.contains(event.relatedTarget)) {\n return fn.call(this, event);\n }\n };\n };\n callable = wrapFunction(callable);\n }\n const events = getElementEvents(element);\n const handlers = events[typeEvent] || (events[typeEvent] = {});\n const previousFunction = findHandler(handlers, callable, isDelegated ? handler : null);\n if (previousFunction) {\n previousFunction.oneOff = previousFunction.oneOff && oneOff;\n return;\n }\n const uid = makeEventUid(callable, originalTypeEvent.replace(namespaceRegex, ''));\n const fn = isDelegated ? bootstrapDelegationHandler(element, handler, callable) : bootstrapHandler(element, callable);\n fn.delegationSelector = isDelegated ? handler : null;\n fn.callable = callable;\n fn.oneOff = oneOff;\n fn.uidEvent = uid;\n handlers[uid] = fn;\n element.addEventListener(typeEvent, fn, isDelegated);\n}\nfunction removeHandler(element, events, typeEvent, handler, delegationSelector) {\n const fn = findHandler(events[typeEvent], handler, delegationSelector);\n if (!fn) {\n return;\n }\n element.removeEventListener(typeEvent, fn, Boolean(delegationSelector));\n delete events[typeEvent][fn.uidEvent];\n}\nfunction removeNamespacedHandlers(element, events, typeEvent, namespace) {\n const storeElementEvent = events[typeEvent] || {};\n for (const [handlerKey, event] of Object.entries(storeElementEvent)) {\n if (handlerKey.includes(namespace)) {\n removeHandler(element, events, typeEvent, event.callable, event.delegationSelector);\n }\n }\n}\nfunction getTypeEvent(event) {\n // allow to get the native events from namespaced events ('click.bs.button' --> 'click')\n event = event.replace(stripNameRegex, '');\n return customEvents[event] || event;\n}\nconst EventHandler = {\n on(element, event, handler, delegationFunction) {\n addHandler(element, event, handler, delegationFunction, false);\n },\n one(element, event, handler, delegationFunction) {\n addHandler(element, event, handler, delegationFunction, true);\n },\n off(element, originalTypeEvent, handler, delegationFunction) {\n if (typeof originalTypeEvent !== 'string' || !element) {\n return;\n }\n const [isDelegated, callable, typeEvent] = normalizeParameters(originalTypeEvent, handler, delegationFunction);\n const inNamespace = typeEvent !== originalTypeEvent;\n const events = getElementEvents(element);\n const storeElementEvent = events[typeEvent] || {};\n const isNamespace = originalTypeEvent.startsWith('.');\n if (typeof callable !== 'undefined') {\n // Simplest case: handler is passed, remove that listener ONLY.\n if (!Object.keys(storeElementEvent).length) {\n return;\n }\n removeHandler(element, events, typeEvent, callable, isDelegated ? handler : null);\n return;\n }\n if (isNamespace) {\n for (const elementEvent of Object.keys(events)) {\n removeNamespacedHandlers(element, events, elementEvent, originalTypeEvent.slice(1));\n }\n }\n for (const [keyHandlers, event] of Object.entries(storeElementEvent)) {\n const handlerKey = keyHandlers.replace(stripUidRegex, '');\n if (!inNamespace || originalTypeEvent.includes(handlerKey)) {\n removeHandler(element, events, typeEvent, event.callable, event.delegationSelector);\n }\n }\n },\n trigger(element, event, args) {\n if (typeof event !== 'string' || !element) {\n return null;\n }\n const $ = getjQuery();\n const typeEvent = getTypeEvent(event);\n const inNamespace = event !== typeEvent;\n let jQueryEvent = null;\n let bubbles = true;\n let nativeDispatch = true;\n let defaultPrevented = false;\n if (inNamespace && $) {\n jQueryEvent = $.Event(event, args);\n $(element).trigger(jQueryEvent);\n bubbles = !jQueryEvent.isPropagationStopped();\n nativeDispatch = !jQueryEvent.isImmediatePropagationStopped();\n defaultPrevented = jQueryEvent.isDefaultPrevented();\n }\n const evt = hydrateObj(new Event(event, {\n bubbles,\n cancelable: true\n }), args);\n if (defaultPrevented) {\n evt.preventDefault();\n }\n if (nativeDispatch) {\n element.dispatchEvent(evt);\n }\n if (evt.defaultPrevented && jQueryEvent) {\n jQueryEvent.preventDefault();\n }\n return evt;\n }\n};\nfunction hydrateObj(obj, meta = {}) {\n for (const [key, value] of Object.entries(meta)) {\n try {\n obj[key] = value;\n } catch (_unused) {\n Object.defineProperty(obj, key, {\n configurable: true,\n get() {\n return value;\n }\n });\n }\n }\n return obj;\n}\n\n/**\n * --------------------------------------------------------------------------\n * Bootstrap dom/manipulator.js\n * Licensed under MIT (https://github.com/twbs/bootstrap/blob/main/LICENSE)\n * --------------------------------------------------------------------------\n */\n\nfunction normalizeData(value) {\n if (value === 'true') {\n return true;\n }\n if (value === 'false') {\n return false;\n }\n if (value === Number(value).toString()) {\n return Number(value);\n }\n if (value === '' || value === 'null') {\n return null;\n }\n if (typeof value !== 'string') {\n return value;\n }\n try {\n return JSON.parse(decodeURIComponent(value));\n } catch (_unused) {\n return value;\n }\n}\nfunction normalizeDataKey(key) {\n return key.replace(/[A-Z]/g, chr => `-${chr.toLowerCase()}`);\n}\nconst Manipulator = {\n setDataAttribute(element, key, value) {\n element.setAttribute(`data-bs-${normalizeDataKey(key)}`, value);\n },\n removeDataAttribute(element, key) {\n element.removeAttribute(`data-bs-${normalizeDataKey(key)}`);\n },\n getDataAttributes(element) {\n if (!element) {\n return {};\n }\n const attributes = {};\n const bsKeys = Object.keys(element.dataset).filter(key => key.startsWith('bs') && !key.startsWith('bsConfig'));\n for (const key of bsKeys) {\n let pureKey = key.replace(/^bs/, '');\n pureKey = pureKey.charAt(0).toLowerCase() + pureKey.slice(1, pureKey.length);\n attributes[pureKey] = normalizeData(element.dataset[key]);\n }\n return attributes;\n },\n getDataAttribute(element, key) {\n return normalizeData(element.getAttribute(`data-bs-${normalizeDataKey(key)}`));\n }\n};\n\n/**\n * --------------------------------------------------------------------------\n * Bootstrap util/config.js\n * Licensed under MIT (https://github.com/twbs/bootstrap/blob/main/LICENSE)\n * --------------------------------------------------------------------------\n */\n\n\n/**\n * Class definition\n */\n\nclass Config {\n // Getters\n static get Default() {\n return {};\n }\n static get DefaultType() {\n return {};\n }\n static get NAME() {\n throw new Error('You have to implement the static method \"NAME\", for each component!');\n }\n _getConfig(config) {\n config = this._mergeConfigObj(config);\n config = this._configAfterMerge(config);\n this._typeCheckConfig(config);\n return config;\n }\n _configAfterMerge(config) {\n return config;\n }\n _mergeConfigObj(config, element) {\n const jsonConfig = isElement(element) ? Manipulator.getDataAttribute(element, 'config') : {}; // try to parse\n\n return {\n ...this.constructor.Default,\n ...(typeof jsonConfig === 'object' ? jsonConfig : {}),\n ...(isElement(element) ? Manipulator.getDataAttributes(element) : {}),\n ...(typeof config === 'object' ? config : {})\n };\n }\n _typeCheckConfig(config, configTypes = this.constructor.DefaultType) {\n for (const [property, expectedTypes] of Object.entries(configTypes)) {\n const value = config[property];\n const valueType = isElement(value) ? 'element' : toType(value);\n if (!new RegExp(expectedTypes).test(valueType)) {\n throw new TypeError(`${this.constructor.NAME.toUpperCase()}: Option \"${property}\" provided type \"${valueType}\" but expected type \"${expectedTypes}\".`);\n }\n }\n }\n}\n\n/**\n * --------------------------------------------------------------------------\n * Bootstrap base-component.js\n * Licensed under MIT (https://github.com/twbs/bootstrap/blob/main/LICENSE)\n * --------------------------------------------------------------------------\n */\n\n\n/**\n * Constants\n */\n\nconst VERSION = '5.3.2';\n\n/**\n * Class definition\n */\n\nclass BaseComponent extends Config {\n constructor(element, config) {\n super();\n element = getElement(element);\n if (!element) {\n return;\n }\n this._element = element;\n this._config = this._getConfig(config);\n Data.set(this._element, this.constructor.DATA_KEY, this);\n }\n\n // Public\n dispose() {\n Data.remove(this._element, this.constructor.DATA_KEY);\n EventHandler.off(this._element, this.constructor.EVENT_KEY);\n for (const propertyName of Object.getOwnPropertyNames(this)) {\n this[propertyName] = null;\n }\n }\n _queueCallback(callback, element, isAnimated = true) {\n executeAfterTransition(callback, element, isAnimated);\n }\n _getConfig(config) {\n config = this._mergeConfigObj(config, this._element);\n config = this._configAfterMerge(config);\n this._typeCheckConfig(config);\n return config;\n }\n\n // Static\n static getInstance(element) {\n return Data.get(getElement(element), this.DATA_KEY);\n }\n static getOrCreateInstance(element, config = {}) {\n return this.getInstance(element) || new this(element, typeof config === 'object' ? config : null);\n }\n static get VERSION() {\n return VERSION;\n }\n static get DATA_KEY() {\n return `bs.${this.NAME}`;\n }\n static get EVENT_KEY() {\n return `.${this.DATA_KEY}`;\n }\n static eventName(name) {\n return `${name}${this.EVENT_KEY}`;\n }\n}\n\n/**\n * --------------------------------------------------------------------------\n * Bootstrap dom/selector-engine.js\n * Licensed under MIT (https://github.com/twbs/bootstrap/blob/main/LICENSE)\n * --------------------------------------------------------------------------\n */\n\nconst getSelector = element => {\n let selector = element.getAttribute('data-bs-target');\n if (!selector || selector === '#') {\n let hrefAttribute = element.getAttribute('href');\n\n // The only valid content that could double as a selector are IDs or classes,\n // so everything starting with `#` or `.`. If a \"real\" URL is used as the selector,\n // `document.querySelector` will rightfully complain it is invalid.\n // See https://github.com/twbs/bootstrap/issues/32273\n if (!hrefAttribute || !hrefAttribute.includes('#') && !hrefAttribute.startsWith('.')) {\n return null;\n }\n\n // Just in case some CMS puts out a full URL with the anchor appended\n if (hrefAttribute.includes('#') && !hrefAttribute.startsWith('#')) {\n hrefAttribute = `#${hrefAttribute.split('#')[1]}`;\n }\n selector = hrefAttribute && hrefAttribute !== '#' ? parseSelector(hrefAttribute.trim()) : null;\n }\n return selector;\n};\nconst SelectorEngine = {\n find(selector, element = document.documentElement) {\n return [].concat(...Element.prototype.querySelectorAll.call(element, selector));\n },\n findOne(selector, element = document.documentElement) {\n return Element.prototype.querySelector.call(element, selector);\n },\n children(element, selector) {\n return [].concat(...element.children).filter(child => child.matches(selector));\n },\n parents(element, selector) {\n const parents = [];\n let ancestor = element.parentNode.closest(selector);\n while (ancestor) {\n parents.push(ancestor);\n ancestor = ancestor.parentNode.closest(selector);\n }\n return parents;\n },\n prev(element, selector) {\n let previous = element.previousElementSibling;\n while (previous) {\n if (previous.matches(selector)) {\n return [previous];\n }\n previous = previous.previousElementSibling;\n }\n return [];\n },\n // TODO: this is now unused; remove later along with prev()\n next(element, selector) {\n let next = element.nextElementSibling;\n while (next) {\n if (next.matches(selector)) {\n return [next];\n }\n next = next.nextElementSibling;\n }\n return [];\n },\n focusableChildren(element) {\n const focusables = ['a', 'button', 'input', 'textarea', 'select', 'details', '[tabindex]', '[contenteditable=\"true\"]'].map(selector => `${selector}:not([tabindex^=\"-\"])`).join(',');\n return this.find(focusables, element).filter(el => !isDisabled(el) && isVisible(el));\n },\n getSelectorFromElement(element) {\n const selector = getSelector(element);\n if (selector) {\n return SelectorEngine.findOne(selector) ? selector : null;\n }\n return null;\n },\n getElementFromSelector(element) {\n const selector = getSelector(element);\n return selector ? SelectorEngine.findOne(selector) : null;\n },\n getMultipleElementsFromSelector(element) {\n const selector = getSelector(element);\n return selector ? SelectorEngine.find(selector) : [];\n }\n};\n\n/**\n * --------------------------------------------------------------------------\n * Bootstrap util/component-functions.js\n * Licensed under MIT (https://github.com/twbs/bootstrap/blob/main/LICENSE)\n * --------------------------------------------------------------------------\n */\n\nconst enableDismissTrigger = (component, method = 'hide') => {\n const clickEvent = `click.dismiss${component.EVENT_KEY}`;\n const name = component.NAME;\n EventHandler.on(document, clickEvent, `[data-bs-dismiss=\"${name}\"]`, function (event) {\n if (['A', 'AREA'].includes(this.tagName)) {\n event.preventDefault();\n }\n if (isDisabled(this)) {\n return;\n }\n const target = SelectorEngine.getElementFromSelector(this) || this.closest(`.${name}`);\n const instance = component.getOrCreateInstance(target);\n\n // Method argument is left, for Alert and only, as it doesn't implement the 'hide' method\n instance[method]();\n });\n};\n\n/**\n * --------------------------------------------------------------------------\n * Bootstrap alert.js\n * Licensed under MIT (https://github.com/twbs/bootstrap/blob/main/LICENSE)\n * --------------------------------------------------------------------------\n */\n\n\n/**\n * Constants\n */\n\nconst NAME$f = 'alert';\nconst DATA_KEY$a = 'bs.alert';\nconst EVENT_KEY$b = `.${DATA_KEY$a}`;\nconst EVENT_CLOSE = `close${EVENT_KEY$b}`;\nconst EVENT_CLOSED = `closed${EVENT_KEY$b}`;\nconst CLASS_NAME_FADE$5 = 'fade';\nconst CLASS_NAME_SHOW$8 = 'show';\n\n/**\n * Class definition\n */\n\nclass Alert extends BaseComponent {\n // Getters\n static get NAME() {\n return NAME$f;\n }\n\n // Public\n close() {\n const closeEvent = EventHandler.trigger(this._element, EVENT_CLOSE);\n if (closeEvent.defaultPrevented) {\n return;\n }\n this._element.classList.remove(CLASS_NAME_SHOW$8);\n const isAnimated = this._element.classList.contains(CLASS_NAME_FADE$5);\n this._queueCallback(() => this._destroyElement(), this._element, isAnimated);\n }\n\n // Private\n _destroyElement() {\n this._element.remove();\n EventHandler.trigger(this._element, EVENT_CLOSED);\n this.dispose();\n }\n\n // Static\n static jQueryInterface(config) {\n return this.each(function () {\n const data = Alert.getOrCreateInstance(this);\n if (typeof config !== 'string') {\n return;\n }\n if (data[config] === undefined || config.startsWith('_') || config === 'constructor') {\n throw new TypeError(`No method named \"${config}\"`);\n }\n data[config](this);\n });\n }\n}\n\n/**\n * Data API implementation\n */\n\nenableDismissTrigger(Alert, 'close');\n\n/**\n * jQuery\n */\n\ndefineJQueryPlugin(Alert);\n\n/**\n * --------------------------------------------------------------------------\n * Bootstrap button.js\n * Licensed under MIT (https://github.com/twbs/bootstrap/blob/main/LICENSE)\n * --------------------------------------------------------------------------\n */\n\n\n/**\n * Constants\n */\n\nconst NAME$e = 'button';\nconst DATA_KEY$9 = 'bs.button';\nconst EVENT_KEY$a = `.${DATA_KEY$9}`;\nconst DATA_API_KEY$6 = '.data-api';\nconst CLASS_NAME_ACTIVE$3 = 'active';\nconst SELECTOR_DATA_TOGGLE$5 = '[data-bs-toggle=\"button\"]';\nconst EVENT_CLICK_DATA_API$6 = `click${EVENT_KEY$a}${DATA_API_KEY$6}`;\n\n/**\n * Class definition\n */\n\nclass Button extends BaseComponent {\n // Getters\n static get NAME() {\n return NAME$e;\n }\n\n // Public\n toggle() {\n // Toggle class and sync the `aria-pressed` attribute with the return value of the `.toggle()` method\n this._element.setAttribute('aria-pressed', this._element.classList.toggle(CLASS_NAME_ACTIVE$3));\n }\n\n // Static\n static jQueryInterface(config) {\n return this.each(function () {\n const data = Button.getOrCreateInstance(this);\n if (config === 'toggle') {\n data[config]();\n }\n });\n }\n}\n\n/**\n * Data API implementation\n */\n\nEventHandler.on(document, EVENT_CLICK_DATA_API$6, SELECTOR_DATA_TOGGLE$5, event => {\n event.preventDefault();\n const button = event.target.closest(SELECTOR_DATA_TOGGLE$5);\n const data = Button.getOrCreateInstance(button);\n data.toggle();\n});\n\n/**\n * jQuery\n */\n\ndefineJQueryPlugin(Button);\n\n/**\n * --------------------------------------------------------------------------\n * Bootstrap util/swipe.js\n * Licensed under MIT (https://github.com/twbs/bootstrap/blob/main/LICENSE)\n * --------------------------------------------------------------------------\n */\n\n\n/**\n * Constants\n */\n\nconst NAME$d = 'swipe';\nconst EVENT_KEY$9 = '.bs.swipe';\nconst EVENT_TOUCHSTART = `touchstart${EVENT_KEY$9}`;\nconst EVENT_TOUCHMOVE = `touchmove${EVENT_KEY$9}`;\nconst EVENT_TOUCHEND = `touchend${EVENT_KEY$9}`;\nconst EVENT_POINTERDOWN = `pointerdown${EVENT_KEY$9}`;\nconst EVENT_POINTERUP = `pointerup${EVENT_KEY$9}`;\nconst POINTER_TYPE_TOUCH = 'touch';\nconst POINTER_TYPE_PEN = 'pen';\nconst CLASS_NAME_POINTER_EVENT = 'pointer-event';\nconst SWIPE_THRESHOLD = 40;\nconst Default$c = {\n endCallback: null,\n leftCallback: null,\n rightCallback: null\n};\nconst DefaultType$c = {\n endCallback: '(function|null)',\n leftCallback: '(function|null)',\n rightCallback: '(function|null)'\n};\n\n/**\n * Class definition\n */\n\nclass Swipe extends Config {\n constructor(element, config) {\n super();\n this._element = element;\n if (!element || !Swipe.isSupported()) {\n return;\n }\n this._config = this._getConfig(config);\n this._deltaX = 0;\n this._supportPointerEvents = Boolean(window.PointerEvent);\n this._initEvents();\n }\n\n // Getters\n static get Default() {\n return Default$c;\n }\n static get DefaultType() {\n return DefaultType$c;\n }\n static get NAME() {\n return NAME$d;\n }\n\n // Public\n dispose() {\n EventHandler.off(this._element, EVENT_KEY$9);\n }\n\n // Private\n _start(event) {\n if (!this._supportPointerEvents) {\n this._deltaX = event.touches[0].clientX;\n return;\n }\n if (this._eventIsPointerPenTouch(event)) {\n this._deltaX = event.clientX;\n }\n }\n _end(event) {\n if (this._eventIsPointerPenTouch(event)) {\n this._deltaX = event.clientX - this._deltaX;\n }\n this._handleSwipe();\n execute(this._config.endCallback);\n }\n _move(event) {\n this._deltaX = event.touches && event.touches.length > 1 ? 0 : event.touches[0].clientX - this._deltaX;\n }\n _handleSwipe() {\n const absDeltaX = Math.abs(this._deltaX);\n if (absDeltaX <= SWIPE_THRESHOLD) {\n return;\n }\n const direction = absDeltaX / this._deltaX;\n this._deltaX = 0;\n if (!direction) {\n return;\n }\n execute(direction > 0 ? this._config.rightCallback : this._config.leftCallback);\n }\n _initEvents() {\n if (this._supportPointerEvents) {\n EventHandler.on(this._element, EVENT_POINTERDOWN, event => this._start(event));\n EventHandler.on(this._element, EVENT_POINTERUP, event => this._end(event));\n this._element.classList.add(CLASS_NAME_POINTER_EVENT);\n } else {\n EventHandler.on(this._element, EVENT_TOUCHSTART, event => this._start(event));\n EventHandler.on(this._element, EVENT_TOUCHMOVE, event => this._move(event));\n EventHandler.on(this._element, EVENT_TOUCHEND, event => this._end(event));\n }\n }\n _eventIsPointerPenTouch(event) {\n return this._supportPointerEvents && (event.pointerType === POINTER_TYPE_PEN || event.pointerType === POINTER_TYPE_TOUCH);\n }\n\n // Static\n static isSupported() {\n return 'ontouchstart' in document.documentElement || navigator.maxTouchPoints > 0;\n }\n}\n\n/**\n * --------------------------------------------------------------------------\n * Bootstrap carousel.js\n * Licensed under MIT (https://github.com/twbs/bootstrap/blob/main/LICENSE)\n * --------------------------------------------------------------------------\n */\n\n\n/**\n * Constants\n */\n\nconst NAME$c = 'carousel';\nconst DATA_KEY$8 = 'bs.carousel';\nconst EVENT_KEY$8 = `.${DATA_KEY$8}`;\nconst DATA_API_KEY$5 = '.data-api';\nconst ARROW_LEFT_KEY$1 = 'ArrowLeft';\nconst ARROW_RIGHT_KEY$1 = 'ArrowRight';\nconst TOUCHEVENT_COMPAT_WAIT = 500; // Time for mouse compat events to fire after touch\n\nconst ORDER_NEXT = 'next';\nconst ORDER_PREV = 'prev';\nconst DIRECTION_LEFT = 'left';\nconst DIRECTION_RIGHT = 'right';\nconst EVENT_SLIDE = `slide${EVENT_KEY$8}`;\nconst EVENT_SLID = `slid${EVENT_KEY$8}`;\nconst EVENT_KEYDOWN$1 = `keydown${EVENT_KEY$8}`;\nconst EVENT_MOUSEENTER$1 = `mouseenter${EVENT_KEY$8}`;\nconst EVENT_MOUSELEAVE$1 = `mouseleave${EVENT_KEY$8}`;\nconst EVENT_DRAG_START = `dragstart${EVENT_KEY$8}`;\nconst EVENT_LOAD_DATA_API$3 = `load${EVENT_KEY$8}${DATA_API_KEY$5}`;\nconst EVENT_CLICK_DATA_API$5 = `click${EVENT_KEY$8}${DATA_API_KEY$5}`;\nconst CLASS_NAME_CAROUSEL = 'carousel';\nconst CLASS_NAME_ACTIVE$2 = 'active';\nconst CLASS_NAME_SLIDE = 'slide';\nconst CLASS_NAME_END = 'carousel-item-end';\nconst CLASS_NAME_START = 'carousel-item-start';\nconst CLASS_NAME_NEXT = 'carousel-item-next';\nconst CLASS_NAME_PREV = 'carousel-item-prev';\nconst SELECTOR_ACTIVE = '.active';\nconst SELECTOR_ITEM = '.carousel-item';\nconst SELECTOR_ACTIVE_ITEM = SELECTOR_ACTIVE + SELECTOR_ITEM;\nconst SELECTOR_ITEM_IMG = '.carousel-item img';\nconst SELECTOR_INDICATORS = '.carousel-indicators';\nconst SELECTOR_DATA_SLIDE = '[data-bs-slide], [data-bs-slide-to]';\nconst SELECTOR_DATA_RIDE = '[data-bs-ride=\"carousel\"]';\nconst KEY_TO_DIRECTION = {\n [ARROW_LEFT_KEY$1]: DIRECTION_RIGHT,\n [ARROW_RIGHT_KEY$1]: DIRECTION_LEFT\n};\nconst Default$b = {\n interval: 5000,\n keyboard: true,\n pause: 'hover',\n ride: false,\n touch: true,\n wrap: true\n};\nconst DefaultType$b = {\n interval: '(number|boolean)',\n // TODO:v6 remove boolean support\n keyboard: 'boolean',\n pause: '(string|boolean)',\n ride: '(boolean|string)',\n touch: 'boolean',\n wrap: 'boolean'\n};\n\n/**\n * Class definition\n */\n\nclass Carousel extends BaseComponent {\n constructor(element, config) {\n super(element, config);\n this._interval = null;\n this._activeElement = null;\n this._isSliding = false;\n this.touchTimeout = null;\n this._swipeHelper = null;\n this._indicatorsElement = SelectorEngine.findOne(SELECTOR_INDICATORS, this._element);\n this._addEventListeners();\n if (this._config.ride === CLASS_NAME_CAROUSEL) {\n this.cycle();\n }\n }\n\n // Getters\n static get Default() {\n return Default$b;\n }\n static get DefaultType() {\n return DefaultType$b;\n }\n static get NAME() {\n return NAME$c;\n }\n\n // Public\n next() {\n this._slide(ORDER_NEXT);\n }\n nextWhenVisible() {\n // FIXME TODO use `document.visibilityState`\n // Don't call next when the page isn't visible\n // or the carousel or its parent isn't visible\n if (!document.hidden && isVisible(this._element)) {\n this.next();\n }\n }\n prev() {\n this._slide(ORDER_PREV);\n }\n pause() {\n if (this._isSliding) {\n triggerTransitionEnd(this._element);\n }\n this._clearInterval();\n }\n cycle() {\n this._clearInterval();\n this._updateInterval();\n this._interval = setInterval(() => this.nextWhenVisible(), this._config.interval);\n }\n _maybeEnableCycle() {\n if (!this._config.ride) {\n return;\n }\n if (this._isSliding) {\n EventHandler.one(this._element, EVENT_SLID, () => this.cycle());\n return;\n }\n this.cycle();\n }\n to(index) {\n const items = this._getItems();\n if (index > items.length - 1 || index < 0) {\n return;\n }\n if (this._isSliding) {\n EventHandler.one(this._element, EVENT_SLID, () => this.to(index));\n return;\n }\n const activeIndex = this._getItemIndex(this._getActive());\n if (activeIndex === index) {\n return;\n }\n const order = index > activeIndex ? ORDER_NEXT : ORDER_PREV;\n this._slide(order, items[index]);\n }\n dispose() {\n if (this._swipeHelper) {\n this._swipeHelper.dispose();\n }\n super.dispose();\n }\n\n // Private\n _configAfterMerge(config) {\n config.defaultInterval = config.interval;\n return config;\n }\n _addEventListeners() {\n if (this._config.keyboard) {\n EventHandler.on(this._element, EVENT_KEYDOWN$1, event => this._keydown(event));\n }\n if (this._config.pause === 'hover') {\n EventHandler.on(this._element, EVENT_MOUSEENTER$1, () => this.pause());\n EventHandler.on(this._element, EVENT_MOUSELEAVE$1, () => this._maybeEnableCycle());\n }\n if (this._config.touch && Swipe.isSupported()) {\n this._addTouchEventListeners();\n }\n }\n _addTouchEventListeners() {\n for (const img of SelectorEngine.find(SELECTOR_ITEM_IMG, this._element)) {\n EventHandler.on(img, EVENT_DRAG_START, event => event.preventDefault());\n }\n const endCallBack = () => {\n if (this._config.pause !== 'hover') {\n return;\n }\n\n // If it's a touch-enabled device, mouseenter/leave are fired as\n // part of the mouse compatibility events on first tap - the carousel\n // would stop cycling until user tapped out of it;\n // here, we listen for touchend, explicitly pause the carousel\n // (as if it's the second time we tap on it, mouseenter compat event\n // is NOT fired) and after a timeout (to allow for mouse compatibility\n // events to fire) we explicitly restart cycling\n\n this.pause();\n if (this.touchTimeout) {\n clearTimeout(this.touchTimeout);\n }\n this.touchTimeout = setTimeout(() => this._maybeEnableCycle(), TOUCHEVENT_COMPAT_WAIT + this._config.interval);\n };\n const swipeConfig = {\n leftCallback: () => this._slide(this._directionToOrder(DIRECTION_LEFT)),\n rightCallback: () => this._slide(this._directionToOrder(DIRECTION_RIGHT)),\n endCallback: endCallBack\n };\n this._swipeHelper = new Swipe(this._element, swipeConfig);\n }\n _keydown(event) {\n if (/input|textarea/i.test(event.target.tagName)) {\n return;\n }\n const direction = KEY_TO_DIRECTION[event.key];\n if (direction) {\n event.preventDefault();\n this._slide(this._directionToOrder(direction));\n }\n }\n _getItemIndex(element) {\n return this._getItems().indexOf(element);\n }\n _setActiveIndicatorElement(index) {\n if (!this._indicatorsElement) {\n return;\n }\n const activeIndicator = SelectorEngine.findOne(SELECTOR_ACTIVE, this._indicatorsElement);\n activeIndicator.classList.remove(CLASS_NAME_ACTIVE$2);\n activeIndicator.removeAttribute('aria-current');\n const newActiveIndicator = SelectorEngine.findOne(`[data-bs-slide-to=\"${index}\"]`, this._indicatorsElement);\n if (newActiveIndicator) {\n newActiveIndicator.classList.add(CLASS_NAME_ACTIVE$2);\n newActiveIndicator.setAttribute('aria-current', 'true');\n }\n }\n _updateInterval() {\n const element = this._activeElement || this._getActive();\n if (!element) {\n return;\n }\n const elementInterval = Number.parseInt(element.getAttribute('data-bs-interval'), 10);\n this._config.interval = elementInterval || this._config.defaultInterval;\n }\n _slide(order, element = null) {\n if (this._isSliding) {\n return;\n }\n const activeElement = this._getActive();\n const isNext = order === ORDER_NEXT;\n const nextElement = element || getNextActiveElement(this._getItems(), activeElement, isNext, this._config.wrap);\n if (nextElement === activeElement) {\n return;\n }\n const nextElementIndex = this._getItemIndex(nextElement);\n const triggerEvent = eventName => {\n return EventHandler.trigger(this._element, eventName, {\n relatedTarget: nextElement,\n direction: this._orderToDirection(order),\n from: this._getItemIndex(activeElement),\n to: nextElementIndex\n });\n };\n const slideEvent = triggerEvent(EVENT_SLIDE);\n if (slideEvent.defaultPrevented) {\n return;\n }\n if (!activeElement || !nextElement) {\n // Some weirdness is happening, so we bail\n // TODO: change tests that use empty divs to avoid this check\n return;\n }\n const isCycling = Boolean(this._interval);\n this.pause();\n this._isSliding = true;\n this._setActiveIndicatorElement(nextElementIndex);\n this._activeElement = nextElement;\n const directionalClassName = isNext ? CLASS_NAME_START : CLASS_NAME_END;\n const orderClassName = isNext ? CLASS_NAME_NEXT : CLASS_NAME_PREV;\n nextElement.classList.add(orderClassName);\n reflow(nextElement);\n activeElement.classList.add(directionalClassName);\n nextElement.classList.add(directionalClassName);\n const completeCallBack = () => {\n nextElement.classList.remove(directionalClassName, orderClassName);\n nextElement.classList.add(CLASS_NAME_ACTIVE$2);\n activeElement.classList.remove(CLASS_NAME_ACTIVE$2, orderClassName, directionalClassName);\n this._isSliding = false;\n triggerEvent(EVENT_SLID);\n };\n this._queueCallback(completeCallBack, activeElement, this._isAnimated());\n if (isCycling) {\n this.cycle();\n }\n }\n _isAnimated() {\n return this._element.classList.contains(CLASS_NAME_SLIDE);\n }\n _getActive() {\n return SelectorEngine.findOne(SELECTOR_ACTIVE_ITEM, this._element);\n }\n _getItems() {\n return SelectorEngine.find(SELECTOR_ITEM, this._element);\n }\n _clearInterval() {\n if (this._interval) {\n clearInterval(this._interval);\n this._interval = null;\n }\n }\n _directionToOrder(direction) {\n if (isRTL()) {\n return direction === DIRECTION_LEFT ? ORDER_PREV : ORDER_NEXT;\n }\n return direction === DIRECTION_LEFT ? ORDER_NEXT : ORDER_PREV;\n }\n _orderToDirection(order) {\n if (isRTL()) {\n return order === ORDER_PREV ? DIRECTION_LEFT : DIRECTION_RIGHT;\n }\n return order === ORDER_PREV ? DIRECTION_RIGHT : DIRECTION_LEFT;\n }\n\n // Static\n static jQueryInterface(config) {\n return this.each(function () {\n const data = Carousel.getOrCreateInstance(this, config);\n if (typeof config === 'number') {\n data.to(config);\n return;\n }\n if (typeof config === 'string') {\n if (data[config] === undefined || config.startsWith('_') || config === 'constructor') {\n throw new TypeError(`No method named \"${config}\"`);\n }\n data[config]();\n }\n });\n }\n}\n\n/**\n * Data API implementation\n */\n\nEventHandler.on(document, EVENT_CLICK_DATA_API$5, SELECTOR_DATA_SLIDE, function (event) {\n const target = SelectorEngine.getElementFromSelector(this);\n if (!target || !target.classList.contains(CLASS_NAME_CAROUSEL)) {\n return;\n }\n event.preventDefault();\n const carousel = Carousel.getOrCreateInstance(target);\n const slideIndex = this.getAttribute('data-bs-slide-to');\n if (slideIndex) {\n carousel.to(slideIndex);\n carousel._maybeEnableCycle();\n return;\n }\n if (Manipulator.getDataAttribute(this, 'slide') === 'next') {\n carousel.next();\n carousel._maybeEnableCycle();\n return;\n }\n carousel.prev();\n carousel._maybeEnableCycle();\n});\nEventHandler.on(window, EVENT_LOAD_DATA_API$3, () => {\n const carousels = SelectorEngine.find(SELECTOR_DATA_RIDE);\n for (const carousel of carousels) {\n Carousel.getOrCreateInstance(carousel);\n }\n});\n\n/**\n * jQuery\n */\n\ndefineJQueryPlugin(Carousel);\n\n/**\n * --------------------------------------------------------------------------\n * Bootstrap collapse.js\n * Licensed under MIT (https://github.com/twbs/bootstrap/blob/main/LICENSE)\n * --------------------------------------------------------------------------\n */\n\n\n/**\n * Constants\n */\n\nconst NAME$b = 'collapse';\nconst DATA_KEY$7 = 'bs.collapse';\nconst EVENT_KEY$7 = `.${DATA_KEY$7}`;\nconst DATA_API_KEY$4 = '.data-api';\nconst EVENT_SHOW$6 = `show${EVENT_KEY$7}`;\nconst EVENT_SHOWN$6 = `shown${EVENT_KEY$7}`;\nconst EVENT_HIDE$6 = `hide${EVENT_KEY$7}`;\nconst EVENT_HIDDEN$6 = `hidden${EVENT_KEY$7}`;\nconst EVENT_CLICK_DATA_API$4 = `click${EVENT_KEY$7}${DATA_API_KEY$4}`;\nconst CLASS_NAME_SHOW$7 = 'show';\nconst CLASS_NAME_COLLAPSE = 'collapse';\nconst CLASS_NAME_COLLAPSING = 'collapsing';\nconst CLASS_NAME_COLLAPSED = 'collapsed';\nconst CLASS_NAME_DEEPER_CHILDREN = `:scope .${CLASS_NAME_COLLAPSE} .${CLASS_NAME_COLLAPSE}`;\nconst CLASS_NAME_HORIZONTAL = 'collapse-horizontal';\nconst WIDTH = 'width';\nconst HEIGHT = 'height';\nconst SELECTOR_ACTIVES = '.collapse.show, .collapse.collapsing';\nconst SELECTOR_DATA_TOGGLE$4 = '[data-bs-toggle=\"collapse\"]';\nconst Default$a = {\n parent: null,\n toggle: true\n};\nconst DefaultType$a = {\n parent: '(null|element)',\n toggle: 'boolean'\n};\n\n/**\n * Class definition\n */\n\nclass Collapse extends BaseComponent {\n constructor(element, config) {\n super(element, config);\n this._isTransitioning = false;\n this._triggerArray = [];\n const toggleList = SelectorEngine.find(SELECTOR_DATA_TOGGLE$4);\n for (const elem of toggleList) {\n const selector = SelectorEngine.getSelectorFromElement(elem);\n const filterElement = SelectorEngine.find(selector).filter(foundElement => foundElement === this._element);\n if (selector !== null && filterElement.length) {\n this._triggerArray.push(elem);\n }\n }\n this._initializeChildren();\n if (!this._config.parent) {\n this._addAriaAndCollapsedClass(this._triggerArray, this._isShown());\n }\n if (this._config.toggle) {\n this.toggle();\n }\n }\n\n // Getters\n static get Default() {\n return Default$a;\n }\n static get DefaultType() {\n return DefaultType$a;\n }\n static get NAME() {\n return NAME$b;\n }\n\n // Public\n toggle() {\n if (this._isShown()) {\n this.hide();\n } else {\n this.show();\n }\n }\n show() {\n if (this._isTransitioning || this._isShown()) {\n return;\n }\n let activeChildren = [];\n\n // find active children\n if (this._config.parent) {\n activeChildren = this._getFirstLevelChildren(SELECTOR_ACTIVES).filter(element => element !== this._element).map(element => Collapse.getOrCreateInstance(element, {\n toggle: false\n }));\n }\n if (activeChildren.length && activeChildren[0]._isTransitioning) {\n return;\n }\n const startEvent = EventHandler.trigger(this._element, EVENT_SHOW$6);\n if (startEvent.defaultPrevented) {\n return;\n }\n for (const activeInstance of activeChildren) {\n activeInstance.hide();\n }\n const dimension = this._getDimension();\n this._element.classList.remove(CLASS_NAME_COLLAPSE);\n this._element.classList.add(CLASS_NAME_COLLAPSING);\n this._element.style[dimension] = 0;\n this._addAriaAndCollapsedClass(this._triggerArray, true);\n this._isTransitioning = true;\n const complete = () => {\n this._isTransitioning = false;\n this._element.classList.remove(CLASS_NAME_COLLAPSING);\n this._element.classList.add(CLASS_NAME_COLLAPSE, CLASS_NAME_SHOW$7);\n this._element.style[dimension] = '';\n EventHandler.trigger(this._element, EVENT_SHOWN$6);\n };\n const capitalizedDimension = dimension[0].toUpperCase() + dimension.slice(1);\n const scrollSize = `scroll${capitalizedDimension}`;\n this._queueCallback(complete, this._element, true);\n this._element.style[dimension] = `${this._element[scrollSize]}px`;\n }\n hide() {\n if (this._isTransitioning || !this._isShown()) {\n return;\n }\n const startEvent = EventHandler.trigger(this._element, EVENT_HIDE$6);\n if (startEvent.defaultPrevented) {\n return;\n }\n const dimension = this._getDimension();\n this._element.style[dimension] = `${this._element.getBoundingClientRect()[dimension]}px`;\n reflow(this._element);\n this._element.classList.add(CLASS_NAME_COLLAPSING);\n this._element.classList.remove(CLASS_NAME_COLLAPSE, CLASS_NAME_SHOW$7);\n for (const trigger of this._triggerArray) {\n const element = SelectorEngine.getElementFromSelector(trigger);\n if (element && !this._isShown(element)) {\n this._addAriaAndCollapsedClass([trigger], false);\n }\n }\n this._isTransitioning = true;\n const complete = () => {\n this._isTransitioning = false;\n this._element.classList.remove(CLASS_NAME_COLLAPSING);\n this._element.classList.add(CLASS_NAME_COLLAPSE);\n EventHandler.trigger(this._element, EVENT_HIDDEN$6);\n };\n this._element.style[dimension] = '';\n this._queueCallback(complete, this._element, true);\n }\n _isShown(element = this._element) {\n return element.classList.contains(CLASS_NAME_SHOW$7);\n }\n\n // Private\n _configAfterMerge(config) {\n config.toggle = Boolean(config.toggle); // Coerce string values\n config.parent = getElement(config.parent);\n return config;\n }\n _getDimension() {\n return this._element.classList.contains(CLASS_NAME_HORIZONTAL) ? WIDTH : HEIGHT;\n }\n _initializeChildren() {\n if (!this._config.parent) {\n return;\n }\n const children = this._getFirstLevelChildren(SELECTOR_DATA_TOGGLE$4);\n for (const element of children) {\n const selected = SelectorEngine.getElementFromSelector(element);\n if (selected) {\n this._addAriaAndCollapsedClass([element], this._isShown(selected));\n }\n }\n }\n _getFirstLevelChildren(selector) {\n const children = SelectorEngine.find(CLASS_NAME_DEEPER_CHILDREN, this._config.parent);\n // remove children if greater depth\n return SelectorEngine.find(selector, this._config.parent).filter(element => !children.includes(element));\n }\n _addAriaAndCollapsedClass(triggerArray, isOpen) {\n if (!triggerArray.length) {\n return;\n }\n for (const element of triggerArray) {\n element.classList.toggle(CLASS_NAME_COLLAPSED, !isOpen);\n element.setAttribute('aria-expanded', isOpen);\n }\n }\n\n // Static\n static jQueryInterface(config) {\n const _config = {};\n if (typeof config === 'string' && /show|hide/.test(config)) {\n _config.toggle = false;\n }\n return this.each(function () {\n const data = Collapse.getOrCreateInstance(this, _config);\n if (typeof config === 'string') {\n if (typeof data[config] === 'undefined') {\n throw new TypeError(`No method named \"${config}\"`);\n }\n data[config]();\n }\n });\n }\n}\n\n/**\n * Data API implementation\n */\n\nEventHandler.on(document, EVENT_CLICK_DATA_API$4, SELECTOR_DATA_TOGGLE$4, function (event) {\n // preventDefault only for elements (which change the URL) not inside the collapsible element\n if (event.target.tagName === 'A' || event.delegateTarget && event.delegateTarget.tagName === 'A') {\n event.preventDefault();\n }\n for (const element of SelectorEngine.getMultipleElementsFromSelector(this)) {\n Collapse.getOrCreateInstance(element, {\n toggle: false\n }).toggle();\n }\n});\n\n/**\n * jQuery\n */\n\ndefineJQueryPlugin(Collapse);\n\n/**\n * --------------------------------------------------------------------------\n * Bootstrap dropdown.js\n * Licensed under MIT (https://github.com/twbs/bootstrap/blob/main/LICENSE)\n * --------------------------------------------------------------------------\n */\n\n\n/**\n * Constants\n */\n\nconst NAME$a = 'dropdown';\nconst DATA_KEY$6 = 'bs.dropdown';\nconst EVENT_KEY$6 = `.${DATA_KEY$6}`;\nconst DATA_API_KEY$3 = '.data-api';\nconst ESCAPE_KEY$2 = 'Escape';\nconst TAB_KEY$1 = 'Tab';\nconst ARROW_UP_KEY$1 = 'ArrowUp';\nconst ARROW_DOWN_KEY$1 = 'ArrowDown';\nconst RIGHT_MOUSE_BUTTON = 2; // MouseEvent.button value for the secondary button, usually the right button\n\nconst EVENT_HIDE$5 = `hide${EVENT_KEY$6}`;\nconst EVENT_HIDDEN$5 = `hidden${EVENT_KEY$6}`;\nconst EVENT_SHOW$5 = `show${EVENT_KEY$6}`;\nconst EVENT_SHOWN$5 = `shown${EVENT_KEY$6}`;\nconst EVENT_CLICK_DATA_API$3 = `click${EVENT_KEY$6}${DATA_API_KEY$3}`;\nconst EVENT_KEYDOWN_DATA_API = `keydown${EVENT_KEY$6}${DATA_API_KEY$3}`;\nconst EVENT_KEYUP_DATA_API = `keyup${EVENT_KEY$6}${DATA_API_KEY$3}`;\nconst CLASS_NAME_SHOW$6 = 'show';\nconst CLASS_NAME_DROPUP = 'dropup';\nconst CLASS_NAME_DROPEND = 'dropend';\nconst CLASS_NAME_DROPSTART = 'dropstart';\nconst CLASS_NAME_DROPUP_CENTER = 'dropup-center';\nconst CLASS_NAME_DROPDOWN_CENTER = 'dropdown-center';\nconst SELECTOR_DATA_TOGGLE$3 = '[data-bs-toggle=\"dropdown\"]:not(.disabled):not(:disabled)';\nconst SELECTOR_DATA_TOGGLE_SHOWN = `${SELECTOR_DATA_TOGGLE$3}.${CLASS_NAME_SHOW$6}`;\nconst SELECTOR_MENU = '.dropdown-menu';\nconst SELECTOR_NAVBAR = '.navbar';\nconst SELECTOR_NAVBAR_NAV = '.navbar-nav';\nconst SELECTOR_VISIBLE_ITEMS = '.dropdown-menu .dropdown-item:not(.disabled):not(:disabled)';\nconst PLACEMENT_TOP = isRTL() ? 'top-end' : 'top-start';\nconst PLACEMENT_TOPEND = isRTL() ? 'top-start' : 'top-end';\nconst PLACEMENT_BOTTOM = isRTL() ? 'bottom-end' : 'bottom-start';\nconst PLACEMENT_BOTTOMEND = isRTL() ? 'bottom-start' : 'bottom-end';\nconst PLACEMENT_RIGHT = isRTL() ? 'left-start' : 'right-start';\nconst PLACEMENT_LEFT = isRTL() ? 'right-start' : 'left-start';\nconst PLACEMENT_TOPCENTER = 'top';\nconst PLACEMENT_BOTTOMCENTER = 'bottom';\nconst Default$9 = {\n autoClose: true,\n boundary: 'clippingParents',\n display: 'dynamic',\n offset: [0, 2],\n popperConfig: null,\n reference: 'toggle'\n};\nconst DefaultType$9 = {\n autoClose: '(boolean|string)',\n boundary: '(string|element)',\n display: 'string',\n offset: '(array|string|function)',\n popperConfig: '(null|object|function)',\n reference: '(string|element|object)'\n};\n\n/**\n * Class definition\n */\n\nclass Dropdown extends BaseComponent {\n constructor(element, config) {\n super(element, config);\n this._popper = null;\n this._parent = this._element.parentNode; // dropdown wrapper\n // TODO: v6 revert #37011 & change markup https://getbootstrap.com/docs/5.3/forms/input-group/\n this._menu = SelectorEngine.next(this._element, SELECTOR_MENU)[0] || SelectorEngine.prev(this._element, SELECTOR_MENU)[0] || SelectorEngine.findOne(SELECTOR_MENU, this._parent);\n this._inNavbar = this._detectNavbar();\n }\n\n // Getters\n static get Default() {\n return Default$9;\n }\n static get DefaultType() {\n return DefaultType$9;\n }\n static get NAME() {\n return NAME$a;\n }\n\n // Public\n toggle() {\n return this._isShown() ? this.hide() : this.show();\n }\n show() {\n if (isDisabled(this._element) || this._isShown()) {\n return;\n }\n const relatedTarget = {\n relatedTarget: this._element\n };\n const showEvent = EventHandler.trigger(this._element, EVENT_SHOW$5, relatedTarget);\n if (showEvent.defaultPrevented) {\n return;\n }\n this._createPopper();\n\n // If this is a touch-enabled device we add extra\n // empty mouseover listeners to the body's immediate children;\n // only needed because of broken event delegation on iOS\n // https://www.quirksmode.org/blog/archives/2014/02/mouse_event_bub.html\n if ('ontouchstart' in document.documentElement && !this._parent.closest(SELECTOR_NAVBAR_NAV)) {\n for (const element of [].concat(...document.body.children)) {\n EventHandler.on(element, 'mouseover', noop);\n }\n }\n this._element.focus();\n this._element.setAttribute('aria-expanded', true);\n this._menu.classList.add(CLASS_NAME_SHOW$6);\n this._element.classList.add(CLASS_NAME_SHOW$6);\n EventHandler.trigger(this._element, EVENT_SHOWN$5, relatedTarget);\n }\n hide() {\n if (isDisabled(this._element) || !this._isShown()) {\n return;\n }\n const relatedTarget = {\n relatedTarget: this._element\n };\n this._completeHide(relatedTarget);\n }\n dispose() {\n if (this._popper) {\n this._popper.destroy();\n }\n super.dispose();\n }\n update() {\n this._inNavbar = this._detectNavbar();\n if (this._popper) {\n this._popper.update();\n }\n }\n\n // Private\n _completeHide(relatedTarget) {\n const hideEvent = EventHandler.trigger(this._element, EVENT_HIDE$5, relatedTarget);\n if (hideEvent.defaultPrevented) {\n return;\n }\n\n // If this is a touch-enabled device we remove the extra\n // empty mouseover listeners we added for iOS support\n if ('ontouchstart' in document.documentElement) {\n for (const element of [].concat(...document.body.children)) {\n EventHandler.off(element, 'mouseover', noop);\n }\n }\n if (this._popper) {\n this._popper.destroy();\n }\n this._menu.classList.remove(CLASS_NAME_SHOW$6);\n this._element.classList.remove(CLASS_NAME_SHOW$6);\n this._element.setAttribute('aria-expanded', 'false');\n Manipulator.removeDataAttribute(this._menu, 'popper');\n EventHandler.trigger(this._element, EVENT_HIDDEN$5, relatedTarget);\n }\n _getConfig(config) {\n config = super._getConfig(config);\n if (typeof config.reference === 'object' && !isElement(config.reference) && typeof config.reference.getBoundingClientRect !== 'function') {\n // Popper virtual elements require a getBoundingClientRect method\n throw new TypeError(`${NAME$a.toUpperCase()}: Option \"reference\" provided type \"object\" without a required \"getBoundingClientRect\" method.`);\n }\n return config;\n }\n _createPopper() {\n if (typeof Popper === 'undefined') {\n throw new TypeError('Bootstrap\\'s dropdowns require Popper (https://popper.js.org)');\n }\n let referenceElement = this._element;\n if (this._config.reference === 'parent') {\n referenceElement = this._parent;\n } else if (isElement(this._config.reference)) {\n referenceElement = getElement(this._config.reference);\n } else if (typeof this._config.reference === 'object') {\n referenceElement = this._config.reference;\n }\n const popperConfig = this._getPopperConfig();\n this._popper = Popper.createPopper(referenceElement, this._menu, popperConfig);\n }\n _isShown() {\n return this._menu.classList.contains(CLASS_NAME_SHOW$6);\n }\n _getPlacement() {\n const parentDropdown = this._parent;\n if (parentDropdown.classList.contains(CLASS_NAME_DROPEND)) {\n return PLACEMENT_RIGHT;\n }\n if (parentDropdown.classList.contains(CLASS_NAME_DROPSTART)) {\n return PLACEMENT_LEFT;\n }\n if (parentDropdown.classList.contains(CLASS_NAME_DROPUP_CENTER)) {\n return PLACEMENT_TOPCENTER;\n }\n if (parentDropdown.classList.contains(CLASS_NAME_DROPDOWN_CENTER)) {\n return PLACEMENT_BOTTOMCENTER;\n }\n\n // We need to trim the value because custom properties can also include spaces\n const isEnd = getComputedStyle(this._menu).getPropertyValue('--bs-position').trim() === 'end';\n if (parentDropdown.classList.contains(CLASS_NAME_DROPUP)) {\n return isEnd ? PLACEMENT_TOPEND : PLACEMENT_TOP;\n }\n return isEnd ? PLACEMENT_BOTTOMEND : PLACEMENT_BOTTOM;\n }\n _detectNavbar() {\n return this._element.closest(SELECTOR_NAVBAR) !== null;\n }\n _getOffset() {\n const {\n offset\n } = this._config;\n if (typeof offset === 'string') {\n return offset.split(',').map(value => Number.parseInt(value, 10));\n }\n if (typeof offset === 'function') {\n return popperData => offset(popperData, this._element);\n }\n return offset;\n }\n _getPopperConfig() {\n const defaultBsPopperConfig = {\n placement: this._getPlacement(),\n modifiers: [{\n name: 'preventOverflow',\n options: {\n boundary: this._config.boundary\n }\n }, {\n name: 'offset',\n options: {\n offset: this._getOffset()\n }\n }]\n };\n\n // Disable Popper if we have a static display or Dropdown is in Navbar\n if (this._inNavbar || this._config.display === 'static') {\n Manipulator.setDataAttribute(this._menu, 'popper', 'static'); // TODO: v6 remove\n defaultBsPopperConfig.modifiers = [{\n name: 'applyStyles',\n enabled: false\n }];\n }\n return {\n ...defaultBsPopperConfig,\n ...execute(this._config.popperConfig, [defaultBsPopperConfig])\n };\n }\n _selectMenuItem({\n key,\n target\n }) {\n const items = SelectorEngine.find(SELECTOR_VISIBLE_ITEMS, this._menu).filter(element => isVisible(element));\n if (!items.length) {\n return;\n }\n\n // if target isn't included in items (e.g. when expanding the dropdown)\n // allow cycling to get the last item in case key equals ARROW_UP_KEY\n getNextActiveElement(items, target, key === ARROW_DOWN_KEY$1, !items.includes(target)).focus();\n }\n\n // Static\n static jQueryInterface(config) {\n return this.each(function () {\n const data = Dropdown.getOrCreateInstance(this, config);\n if (typeof config !== 'string') {\n return;\n }\n if (typeof data[config] === 'undefined') {\n throw new TypeError(`No method named \"${config}\"`);\n }\n data[config]();\n });\n }\n static clearMenus(event) {\n if (event.button === RIGHT_MOUSE_BUTTON || event.type === 'keyup' && event.key !== TAB_KEY$1) {\n return;\n }\n const openToggles = SelectorEngine.find(SELECTOR_DATA_TOGGLE_SHOWN);\n for (const toggle of openToggles) {\n const context = Dropdown.getInstance(toggle);\n if (!context || context._config.autoClose === false) {\n continue;\n }\n const composedPath = event.composedPath();\n const isMenuTarget = composedPath.includes(context._menu);\n if (composedPath.includes(context._element) || context._config.autoClose === 'inside' && !isMenuTarget || context._config.autoClose === 'outside' && isMenuTarget) {\n continue;\n }\n\n // Tab navigation through the dropdown menu or events from contained inputs shouldn't close the menu\n if (context._menu.contains(event.target) && (event.type === 'keyup' && event.key === TAB_KEY$1 || /input|select|option|textarea|form/i.test(event.target.tagName))) {\n continue;\n }\n const relatedTarget = {\n relatedTarget: context._element\n };\n if (event.type === 'click') {\n relatedTarget.clickEvent = event;\n }\n context._completeHide(relatedTarget);\n }\n }\n static dataApiKeydownHandler(event) {\n // If not an UP | DOWN | ESCAPE key => not a dropdown command\n // If input/textarea && if key is other than ESCAPE => not a dropdown command\n\n const isInput = /input|textarea/i.test(event.target.tagName);\n const isEscapeEvent = event.key === ESCAPE_KEY$2;\n const isUpOrDownEvent = [ARROW_UP_KEY$1, ARROW_DOWN_KEY$1].includes(event.key);\n if (!isUpOrDownEvent && !isEscapeEvent) {\n return;\n }\n if (isInput && !isEscapeEvent) {\n return;\n }\n event.preventDefault();\n\n // TODO: v6 revert #37011 & change markup https://getbootstrap.com/docs/5.3/forms/input-group/\n const getToggleButton = this.matches(SELECTOR_DATA_TOGGLE$3) ? this : SelectorEngine.prev(this, SELECTOR_DATA_TOGGLE$3)[0] || SelectorEngine.next(this, SELECTOR_DATA_TOGGLE$3)[0] || SelectorEngine.findOne(SELECTOR_DATA_TOGGLE$3, event.delegateTarget.parentNode);\n const instance = Dropdown.getOrCreateInstance(getToggleButton);\n if (isUpOrDownEvent) {\n event.stopPropagation();\n instance.show();\n instance._selectMenuItem(event);\n return;\n }\n if (instance._isShown()) {\n // else is escape and we check if it is shown\n event.stopPropagation();\n instance.hide();\n getToggleButton.focus();\n }\n }\n}\n\n/**\n * Data API implementation\n */\n\nEventHandler.on(document, EVENT_KEYDOWN_DATA_API, SELECTOR_DATA_TOGGLE$3, Dropdown.dataApiKeydownHandler);\nEventHandler.on(document, EVENT_KEYDOWN_DATA_API, SELECTOR_MENU, Dropdown.dataApiKeydownHandler);\nEventHandler.on(document, EVENT_CLICK_DATA_API$3, Dropdown.clearMenus);\nEventHandler.on(document, EVENT_KEYUP_DATA_API, Dropdown.clearMenus);\nEventHandler.on(document, EVENT_CLICK_DATA_API$3, SELECTOR_DATA_TOGGLE$3, function (event) {\n event.preventDefault();\n Dropdown.getOrCreateInstance(this).toggle();\n});\n\n/**\n * jQuery\n */\n\ndefineJQueryPlugin(Dropdown);\n\n/**\n * --------------------------------------------------------------------------\n * Bootstrap util/backdrop.js\n * Licensed under MIT (https://github.com/twbs/bootstrap/blob/main/LICENSE)\n * --------------------------------------------------------------------------\n */\n\n\n/**\n * Constants\n */\n\nconst NAME$9 = 'backdrop';\nconst CLASS_NAME_FADE$4 = 'fade';\nconst CLASS_NAME_SHOW$5 = 'show';\nconst EVENT_MOUSEDOWN = `mousedown.bs.${NAME$9}`;\nconst Default$8 = {\n className: 'modal-backdrop',\n clickCallback: null,\n isAnimated: false,\n isVisible: true,\n // if false, we use the backdrop helper without adding any element to the dom\n rootElement: 'body' // give the choice to place backdrop under different elements\n};\n\nconst DefaultType$8 = {\n className: 'string',\n clickCallback: '(function|null)',\n isAnimated: 'boolean',\n isVisible: 'boolean',\n rootElement: '(element|string)'\n};\n\n/**\n * Class definition\n */\n\nclass Backdrop extends Config {\n constructor(config) {\n super();\n this._config = this._getConfig(config);\n this._isAppended = false;\n this._element = null;\n }\n\n // Getters\n static get Default() {\n return Default$8;\n }\n static get DefaultType() {\n return DefaultType$8;\n }\n static get NAME() {\n return NAME$9;\n }\n\n // Public\n show(callback) {\n if (!this._config.isVisible) {\n execute(callback);\n return;\n }\n this._append();\n const element = this._getElement();\n if (this._config.isAnimated) {\n reflow(element);\n }\n element.classList.add(CLASS_NAME_SHOW$5);\n this._emulateAnimation(() => {\n execute(callback);\n });\n }\n hide(callback) {\n if (!this._config.isVisible) {\n execute(callback);\n return;\n }\n this._getElement().classList.remove(CLASS_NAME_SHOW$5);\n this._emulateAnimation(() => {\n this.dispose();\n execute(callback);\n });\n }\n dispose() {\n if (!this._isAppended) {\n return;\n }\n EventHandler.off(this._element, EVENT_MOUSEDOWN);\n this._element.remove();\n this._isAppended = false;\n }\n\n // Private\n _getElement() {\n if (!this._element) {\n const backdrop = document.createElement('div');\n backdrop.className = this._config.className;\n if (this._config.isAnimated) {\n backdrop.classList.add(CLASS_NAME_FADE$4);\n }\n this._element = backdrop;\n }\n return this._element;\n }\n _configAfterMerge(config) {\n // use getElement() with the default \"body\" to get a fresh Element on each instantiation\n config.rootElement = getElement(config.rootElement);\n return config;\n }\n _append() {\n if (this._isAppended) {\n return;\n }\n const element = this._getElement();\n this._config.rootElement.append(element);\n EventHandler.on(element, EVENT_MOUSEDOWN, () => {\n execute(this._config.clickCallback);\n });\n this._isAppended = true;\n }\n _emulateAnimation(callback) {\n executeAfterTransition(callback, this._getElement(), this._config.isAnimated);\n }\n}\n\n/**\n * --------------------------------------------------------------------------\n * Bootstrap util/focustrap.js\n * Licensed under MIT (https://github.com/twbs/bootstrap/blob/main/LICENSE)\n * --------------------------------------------------------------------------\n */\n\n\n/**\n * Constants\n */\n\nconst NAME$8 = 'focustrap';\nconst DATA_KEY$5 = 'bs.focustrap';\nconst EVENT_KEY$5 = `.${DATA_KEY$5}`;\nconst EVENT_FOCUSIN$2 = `focusin${EVENT_KEY$5}`;\nconst EVENT_KEYDOWN_TAB = `keydown.tab${EVENT_KEY$5}`;\nconst TAB_KEY = 'Tab';\nconst TAB_NAV_FORWARD = 'forward';\nconst TAB_NAV_BACKWARD = 'backward';\nconst Default$7 = {\n autofocus: true,\n trapElement: null // The element to trap focus inside of\n};\n\nconst DefaultType$7 = {\n autofocus: 'boolean',\n trapElement: 'element'\n};\n\n/**\n * Class definition\n */\n\nclass FocusTrap extends Config {\n constructor(config) {\n super();\n this._config = this._getConfig(config);\n this._isActive = false;\n this._lastTabNavDirection = null;\n }\n\n // Getters\n static get Default() {\n return Default$7;\n }\n static get DefaultType() {\n return DefaultType$7;\n }\n static get NAME() {\n return NAME$8;\n }\n\n // Public\n activate() {\n if (this._isActive) {\n return;\n }\n if (this._config.autofocus) {\n this._config.trapElement.focus();\n }\n EventHandler.off(document, EVENT_KEY$5); // guard against infinite focus loop\n EventHandler.on(document, EVENT_FOCUSIN$2, event => this._handleFocusin(event));\n EventHandler.on(document, EVENT_KEYDOWN_TAB, event => this._handleKeydown(event));\n this._isActive = true;\n }\n deactivate() {\n if (!this._isActive) {\n return;\n }\n this._isActive = false;\n EventHandler.off(document, EVENT_KEY$5);\n }\n\n // Private\n _handleFocusin(event) {\n const {\n trapElement\n } = this._config;\n if (event.target === document || event.target === trapElement || trapElement.contains(event.target)) {\n return;\n }\n const elements = SelectorEngine.focusableChildren(trapElement);\n if (elements.length === 0) {\n trapElement.focus();\n } else if (this._lastTabNavDirection === TAB_NAV_BACKWARD) {\n elements[elements.length - 1].focus();\n } else {\n elements[0].focus();\n }\n }\n _handleKeydown(event) {\n if (event.key !== TAB_KEY) {\n return;\n }\n this._lastTabNavDirection = event.shiftKey ? TAB_NAV_BACKWARD : TAB_NAV_FORWARD;\n }\n}\n\n/**\n * --------------------------------------------------------------------------\n * Bootstrap util/scrollBar.js\n * Licensed under MIT (https://github.com/twbs/bootstrap/blob/main/LICENSE)\n * --------------------------------------------------------------------------\n */\n\n\n/**\n * Constants\n */\n\nconst SELECTOR_FIXED_CONTENT = '.fixed-top, .fixed-bottom, .is-fixed, .sticky-top';\nconst SELECTOR_STICKY_CONTENT = '.sticky-top';\nconst PROPERTY_PADDING = 'padding-right';\nconst PROPERTY_MARGIN = 'margin-right';\n\n/**\n * Class definition\n */\n\nclass ScrollBarHelper {\n constructor() {\n this._element = document.body;\n }\n\n // Public\n getWidth() {\n // https://developer.mozilla.org/en-US/docs/Web/API/Window/innerWidth#usage_notes\n const documentWidth = document.documentElement.clientWidth;\n return Math.abs(window.innerWidth - documentWidth);\n }\n hide() {\n const width = this.getWidth();\n this._disableOverFlow();\n // give padding to element to balance the hidden scrollbar width\n this._setElementAttributes(this._element, PROPERTY_PADDING, calculatedValue => calculatedValue + width);\n // trick: We adjust positive paddingRight and negative marginRight to sticky-top elements to keep showing fullwidth\n this._setElementAttributes(SELECTOR_FIXED_CONTENT, PROPERTY_PADDING, calculatedValue => calculatedValue + width);\n this._setElementAttributes(SELECTOR_STICKY_CONTENT, PROPERTY_MARGIN, calculatedValue => calculatedValue - width);\n }\n reset() {\n this._resetElementAttributes(this._element, 'overflow');\n this._resetElementAttributes(this._element, PROPERTY_PADDING);\n this._resetElementAttributes(SELECTOR_FIXED_CONTENT, PROPERTY_PADDING);\n this._resetElementAttributes(SELECTOR_STICKY_CONTENT, PROPERTY_MARGIN);\n }\n isOverflowing() {\n return this.getWidth() > 0;\n }\n\n // Private\n _disableOverFlow() {\n this._saveInitialAttribute(this._element, 'overflow');\n this._element.style.overflow = 'hidden';\n }\n _setElementAttributes(selector, styleProperty, callback) {\n const scrollbarWidth = this.getWidth();\n const manipulationCallBack = element => {\n if (element !== this._element && window.innerWidth > element.clientWidth + scrollbarWidth) {\n return;\n }\n this._saveInitialAttribute(element, styleProperty);\n const calculatedValue = window.getComputedStyle(element).getPropertyValue(styleProperty);\n element.style.setProperty(styleProperty, `${callback(Number.parseFloat(calculatedValue))}px`);\n };\n this._applyManipulationCallback(selector, manipulationCallBack);\n }\n _saveInitialAttribute(element, styleProperty) {\n const actualValue = element.style.getPropertyValue(styleProperty);\n if (actualValue) {\n Manipulator.setDataAttribute(element, styleProperty, actualValue);\n }\n }\n _resetElementAttributes(selector, styleProperty) {\n const manipulationCallBack = element => {\n const value = Manipulator.getDataAttribute(element, styleProperty);\n // We only want to remove the property if the value is `null`; the value can also be zero\n if (value === null) {\n element.style.removeProperty(styleProperty);\n return;\n }\n Manipulator.removeDataAttribute(element, styleProperty);\n element.style.setProperty(styleProperty, value);\n };\n this._applyManipulationCallback(selector, manipulationCallBack);\n }\n _applyManipulationCallback(selector, callBack) {\n if (isElement(selector)) {\n callBack(selector);\n return;\n }\n for (const sel of SelectorEngine.find(selector, this._element)) {\n callBack(sel);\n }\n }\n}\n\n/**\n * --------------------------------------------------------------------------\n * Bootstrap modal.js\n * Licensed under MIT (https://github.com/twbs/bootstrap/blob/main/LICENSE)\n * --------------------------------------------------------------------------\n */\n\n\n/**\n * Constants\n */\n\nconst NAME$7 = 'modal';\nconst DATA_KEY$4 = 'bs.modal';\nconst EVENT_KEY$4 = `.${DATA_KEY$4}`;\nconst DATA_API_KEY$2 = '.data-api';\nconst ESCAPE_KEY$1 = 'Escape';\nconst EVENT_HIDE$4 = `hide${EVENT_KEY$4}`;\nconst EVENT_HIDE_PREVENTED$1 = `hidePrevented${EVENT_KEY$4}`;\nconst EVENT_HIDDEN$4 = `hidden${EVENT_KEY$4}`;\nconst EVENT_SHOW$4 = `show${EVENT_KEY$4}`;\nconst EVENT_SHOWN$4 = `shown${EVENT_KEY$4}`;\nconst EVENT_RESIZE$1 = `resize${EVENT_KEY$4}`;\nconst EVENT_CLICK_DISMISS = `click.dismiss${EVENT_KEY$4}`;\nconst EVENT_MOUSEDOWN_DISMISS = `mousedown.dismiss${EVENT_KEY$4}`;\nconst EVENT_KEYDOWN_DISMISS$1 = `keydown.dismiss${EVENT_KEY$4}`;\nconst EVENT_CLICK_DATA_API$2 = `click${EVENT_KEY$4}${DATA_API_KEY$2}`;\nconst CLASS_NAME_OPEN = 'modal-open';\nconst CLASS_NAME_FADE$3 = 'fade';\nconst CLASS_NAME_SHOW$4 = 'show';\nconst CLASS_NAME_STATIC = 'modal-static';\nconst OPEN_SELECTOR$1 = '.modal.show';\nconst SELECTOR_DIALOG = '.modal-dialog';\nconst SELECTOR_MODAL_BODY = '.modal-body';\nconst SELECTOR_DATA_TOGGLE$2 = '[data-bs-toggle=\"modal\"]';\nconst Default$6 = {\n backdrop: true,\n focus: true,\n keyboard: true\n};\nconst DefaultType$6 = {\n backdrop: '(boolean|string)',\n focus: 'boolean',\n keyboard: 'boolean'\n};\n\n/**\n * Class definition\n */\n\nclass Modal extends BaseComponent {\n constructor(element, config) {\n super(element, config);\n this._dialog = SelectorEngine.findOne(SELECTOR_DIALOG, this._element);\n this._backdrop = this._initializeBackDrop();\n this._focustrap = this._initializeFocusTrap();\n this._isShown = false;\n this._isTransitioning = false;\n this._scrollBar = new ScrollBarHelper();\n this._addEventListeners();\n }\n\n // Getters\n static get Default() {\n return Default$6;\n }\n static get DefaultType() {\n return DefaultType$6;\n }\n static get NAME() {\n return NAME$7;\n }\n\n // Public\n toggle(relatedTarget) {\n return this._isShown ? this.hide() : this.show(relatedTarget);\n }\n show(relatedTarget) {\n if (this._isShown || this._isTransitioning) {\n return;\n }\n const showEvent = EventHandler.trigger(this._element, EVENT_SHOW$4, {\n relatedTarget\n });\n if (showEvent.defaultPrevented) {\n return;\n }\n this._isShown = true;\n this._isTransitioning = true;\n this._scrollBar.hide();\n document.body.classList.add(CLASS_NAME_OPEN);\n this._adjustDialog();\n this._backdrop.show(() => this._showElement(relatedTarget));\n }\n hide() {\n if (!this._isShown || this._isTransitioning) {\n return;\n }\n const hideEvent = EventHandler.trigger(this._element, EVENT_HIDE$4);\n if (hideEvent.defaultPrevented) {\n return;\n }\n this._isShown = false;\n this._isTransitioning = true;\n this._focustrap.deactivate();\n this._element.classList.remove(CLASS_NAME_SHOW$4);\n this._queueCallback(() => this._hideModal(), this._element, this._isAnimated());\n }\n dispose() {\n EventHandler.off(window, EVENT_KEY$4);\n EventHandler.off(this._dialog, EVENT_KEY$4);\n this._backdrop.dispose();\n this._focustrap.deactivate();\n super.dispose();\n }\n handleUpdate() {\n this._adjustDialog();\n }\n\n // Private\n _initializeBackDrop() {\n return new Backdrop({\n isVisible: Boolean(this._config.backdrop),\n // 'static' option will be translated to true, and booleans will keep their value,\n isAnimated: this._isAnimated()\n });\n }\n _initializeFocusTrap() {\n return new FocusTrap({\n trapElement: this._element\n });\n }\n _showElement(relatedTarget) {\n // try to append dynamic modal\n if (!document.body.contains(this._element)) {\n document.body.append(this._element);\n }\n this._element.style.display = 'block';\n this._element.removeAttribute('aria-hidden');\n this._element.setAttribute('aria-modal', true);\n this._element.setAttribute('role', 'dialog');\n this._element.scrollTop = 0;\n const modalBody = SelectorEngine.findOne(SELECTOR_MODAL_BODY, this._dialog);\n if (modalBody) {\n modalBody.scrollTop = 0;\n }\n reflow(this._element);\n this._element.classList.add(CLASS_NAME_SHOW$4);\n const transitionComplete = () => {\n if (this._config.focus) {\n this._focustrap.activate();\n }\n this._isTransitioning = false;\n EventHandler.trigger(this._element, EVENT_SHOWN$4, {\n relatedTarget\n });\n };\n this._queueCallback(transitionComplete, this._dialog, this._isAnimated());\n }\n _addEventListeners() {\n EventHandler.on(this._element, EVENT_KEYDOWN_DISMISS$1, event => {\n if (event.key !== ESCAPE_KEY$1) {\n return;\n }\n if (this._config.keyboard) {\n this.hide();\n return;\n }\n this._triggerBackdropTransition();\n });\n EventHandler.on(window, EVENT_RESIZE$1, () => {\n if (this._isShown && !this._isTransitioning) {\n this._adjustDialog();\n }\n });\n EventHandler.on(this._element, EVENT_MOUSEDOWN_DISMISS, event => {\n // a bad trick to segregate clicks that may start inside dialog but end outside, and avoid listen to scrollbar clicks\n EventHandler.one(this._element, EVENT_CLICK_DISMISS, event2 => {\n if (this._element !== event.target || this._element !== event2.target) {\n return;\n }\n if (this._config.backdrop === 'static') {\n this._triggerBackdropTransition();\n return;\n }\n if (this._config.backdrop) {\n this.hide();\n }\n });\n });\n }\n _hideModal() {\n this._element.style.display = 'none';\n this._element.setAttribute('aria-hidden', true);\n this._element.removeAttribute('aria-modal');\n this._element.removeAttribute('role');\n this._isTransitioning = false;\n this._backdrop.hide(() => {\n document.body.classList.remove(CLASS_NAME_OPEN);\n this._resetAdjustments();\n this._scrollBar.reset();\n EventHandler.trigger(this._element, EVENT_HIDDEN$4);\n });\n }\n _isAnimated() {\n return this._element.classList.contains(CLASS_NAME_FADE$3);\n }\n _triggerBackdropTransition() {\n const hideEvent = EventHandler.trigger(this._element, EVENT_HIDE_PREVENTED$1);\n if (hideEvent.defaultPrevented) {\n return;\n }\n const isModalOverflowing = this._element.scrollHeight > document.documentElement.clientHeight;\n const initialOverflowY = this._element.style.overflowY;\n // return if the following background transition hasn't yet completed\n if (initialOverflowY === 'hidden' || this._element.classList.contains(CLASS_NAME_STATIC)) {\n return;\n }\n if (!isModalOverflowing) {\n this._element.style.overflowY = 'hidden';\n }\n this._element.classList.add(CLASS_NAME_STATIC);\n this._queueCallback(() => {\n this._element.classList.remove(CLASS_NAME_STATIC);\n this._queueCallback(() => {\n this._element.style.overflowY = initialOverflowY;\n }, this._dialog);\n }, this._dialog);\n this._element.focus();\n }\n\n /**\n * The following methods are used to handle overflowing modals\n */\n\n _adjustDialog() {\n const isModalOverflowing = this._element.scrollHeight > document.documentElement.clientHeight;\n const scrollbarWidth = this._scrollBar.getWidth();\n const isBodyOverflowing = scrollbarWidth > 0;\n if (isBodyOverflowing && !isModalOverflowing) {\n const property = isRTL() ? 'paddingLeft' : 'paddingRight';\n this._element.style[property] = `${scrollbarWidth}px`;\n }\n if (!isBodyOverflowing && isModalOverflowing) {\n const property = isRTL() ? 'paddingRight' : 'paddingLeft';\n this._element.style[property] = `${scrollbarWidth}px`;\n }\n }\n _resetAdjustments() {\n this._element.style.paddingLeft = '';\n this._element.style.paddingRight = '';\n }\n\n // Static\n static jQueryInterface(config, relatedTarget) {\n return this.each(function () {\n const data = Modal.getOrCreateInstance(this, config);\n if (typeof config !== 'string') {\n return;\n }\n if (typeof data[config] === 'undefined') {\n throw new TypeError(`No method named \"${config}\"`);\n }\n data[config](relatedTarget);\n });\n }\n}\n\n/**\n * Data API implementation\n */\n\nEventHandler.on(document, EVENT_CLICK_DATA_API$2, SELECTOR_DATA_TOGGLE$2, function (event) {\n const target = SelectorEngine.getElementFromSelector(this);\n if (['A', 'AREA'].includes(this.tagName)) {\n event.preventDefault();\n }\n EventHandler.one(target, EVENT_SHOW$4, showEvent => {\n if (showEvent.defaultPrevented) {\n // only register focus restorer if modal will actually get shown\n return;\n }\n EventHandler.one(target, EVENT_HIDDEN$4, () => {\n if (isVisible(this)) {\n this.focus();\n }\n });\n });\n\n // avoid conflict when clicking modal toggler while another one is open\n const alreadyOpen = SelectorEngine.findOne(OPEN_SELECTOR$1);\n if (alreadyOpen) {\n Modal.getInstance(alreadyOpen).hide();\n }\n const data = Modal.getOrCreateInstance(target);\n data.toggle(this);\n});\nenableDismissTrigger(Modal);\n\n/**\n * jQuery\n */\n\ndefineJQueryPlugin(Modal);\n\n/**\n * --------------------------------------------------------------------------\n * Bootstrap offcanvas.js\n * Licensed under MIT (https://github.com/twbs/bootstrap/blob/main/LICENSE)\n * --------------------------------------------------------------------------\n */\n\n\n/**\n * Constants\n */\n\nconst NAME$6 = 'offcanvas';\nconst DATA_KEY$3 = 'bs.offcanvas';\nconst EVENT_KEY$3 = `.${DATA_KEY$3}`;\nconst DATA_API_KEY$1 = '.data-api';\nconst EVENT_LOAD_DATA_API$2 = `load${EVENT_KEY$3}${DATA_API_KEY$1}`;\nconst ESCAPE_KEY = 'Escape';\nconst CLASS_NAME_SHOW$3 = 'show';\nconst CLASS_NAME_SHOWING$1 = 'showing';\nconst CLASS_NAME_HIDING = 'hiding';\nconst CLASS_NAME_BACKDROP = 'offcanvas-backdrop';\nconst OPEN_SELECTOR = '.offcanvas.show';\nconst EVENT_SHOW$3 = `show${EVENT_KEY$3}`;\nconst EVENT_SHOWN$3 = `shown${EVENT_KEY$3}`;\nconst EVENT_HIDE$3 = `hide${EVENT_KEY$3}`;\nconst EVENT_HIDE_PREVENTED = `hidePrevented${EVENT_KEY$3}`;\nconst EVENT_HIDDEN$3 = `hidden${EVENT_KEY$3}`;\nconst EVENT_RESIZE = `resize${EVENT_KEY$3}`;\nconst EVENT_CLICK_DATA_API$1 = `click${EVENT_KEY$3}${DATA_API_KEY$1}`;\nconst EVENT_KEYDOWN_DISMISS = `keydown.dismiss${EVENT_KEY$3}`;\nconst SELECTOR_DATA_TOGGLE$1 = '[data-bs-toggle=\"offcanvas\"]';\nconst Default$5 = {\n backdrop: true,\n keyboard: true,\n scroll: false\n};\nconst DefaultType$5 = {\n backdrop: '(boolean|string)',\n keyboard: 'boolean',\n scroll: 'boolean'\n};\n\n/**\n * Class definition\n */\n\nclass Offcanvas extends BaseComponent {\n constructor(element, config) {\n super(element, config);\n this._isShown = false;\n this._backdrop = this._initializeBackDrop();\n this._focustrap = this._initializeFocusTrap();\n this._addEventListeners();\n }\n\n // Getters\n static get Default() {\n return Default$5;\n }\n static get DefaultType() {\n return DefaultType$5;\n }\n static get NAME() {\n return NAME$6;\n }\n\n // Public\n toggle(relatedTarget) {\n return this._isShown ? this.hide() : this.show(relatedTarget);\n }\n show(relatedTarget) {\n if (this._isShown) {\n return;\n }\n const showEvent = EventHandler.trigger(this._element, EVENT_SHOW$3, {\n relatedTarget\n });\n if (showEvent.defaultPrevented) {\n return;\n }\n this._isShown = true;\n this._backdrop.show();\n if (!this._config.scroll) {\n new ScrollBarHelper().hide();\n }\n this._element.setAttribute('aria-modal', true);\n this._element.setAttribute('role', 'dialog');\n this._element.classList.add(CLASS_NAME_SHOWING$1);\n const completeCallBack = () => {\n if (!this._config.scroll || this._config.backdrop) {\n this._focustrap.activate();\n }\n this._element.classList.add(CLASS_NAME_SHOW$3);\n this._element.classList.remove(CLASS_NAME_SHOWING$1);\n EventHandler.trigger(this._element, EVENT_SHOWN$3, {\n relatedTarget\n });\n };\n this._queueCallback(completeCallBack, this._element, true);\n }\n hide() {\n if (!this._isShown) {\n return;\n }\n const hideEvent = EventHandler.trigger(this._element, EVENT_HIDE$3);\n if (hideEvent.defaultPrevented) {\n return;\n }\n this._focustrap.deactivate();\n this._element.blur();\n this._isShown = false;\n this._element.classList.add(CLASS_NAME_HIDING);\n this._backdrop.hide();\n const completeCallback = () => {\n this._element.classList.remove(CLASS_NAME_SHOW$3, CLASS_NAME_HIDING);\n this._element.removeAttribute('aria-modal');\n this._element.removeAttribute('role');\n if (!this._config.scroll) {\n new ScrollBarHelper().reset();\n }\n EventHandler.trigger(this._element, EVENT_HIDDEN$3);\n };\n this._queueCallback(completeCallback, this._element, true);\n }\n dispose() {\n this._backdrop.dispose();\n this._focustrap.deactivate();\n super.dispose();\n }\n\n // Private\n _initializeBackDrop() {\n const clickCallback = () => {\n if (this._config.backdrop === 'static') {\n EventHandler.trigger(this._element, EVENT_HIDE_PREVENTED);\n return;\n }\n this.hide();\n };\n\n // 'static' option will be translated to true, and booleans will keep their value\n const isVisible = Boolean(this._config.backdrop);\n return new Backdrop({\n className: CLASS_NAME_BACKDROP,\n isVisible,\n isAnimated: true,\n rootElement: this._element.parentNode,\n clickCallback: isVisible ? clickCallback : null\n });\n }\n _initializeFocusTrap() {\n return new FocusTrap({\n trapElement: this._element\n });\n }\n _addEventListeners() {\n EventHandler.on(this._element, EVENT_KEYDOWN_DISMISS, event => {\n if (event.key !== ESCAPE_KEY) {\n return;\n }\n if (this._config.keyboard) {\n this.hide();\n return;\n }\n EventHandler.trigger(this._element, EVENT_HIDE_PREVENTED);\n });\n }\n\n // Static\n static jQueryInterface(config) {\n return this.each(function () {\n const data = Offcanvas.getOrCreateInstance(this, config);\n if (typeof config !== 'string') {\n return;\n }\n if (data[config] === undefined || config.startsWith('_') || config === 'constructor') {\n throw new TypeError(`No method named \"${config}\"`);\n }\n data[config](this);\n });\n }\n}\n\n/**\n * Data API implementation\n */\n\nEventHandler.on(document, EVENT_CLICK_DATA_API$1, SELECTOR_DATA_TOGGLE$1, function (event) {\n const target = SelectorEngine.getElementFromSelector(this);\n if (['A', 'AREA'].includes(this.tagName)) {\n event.preventDefault();\n }\n if (isDisabled(this)) {\n return;\n }\n EventHandler.one(target, EVENT_HIDDEN$3, () => {\n // focus on trigger when it is closed\n if (isVisible(this)) {\n this.focus();\n }\n });\n\n // avoid conflict when clicking a toggler of an offcanvas, while another is open\n const alreadyOpen = SelectorEngine.findOne(OPEN_SELECTOR);\n if (alreadyOpen && alreadyOpen !== target) {\n Offcanvas.getInstance(alreadyOpen).hide();\n }\n const data = Offcanvas.getOrCreateInstance(target);\n data.toggle(this);\n});\nEventHandler.on(window, EVENT_LOAD_DATA_API$2, () => {\n for (const selector of SelectorEngine.find(OPEN_SELECTOR)) {\n Offcanvas.getOrCreateInstance(selector).show();\n }\n});\nEventHandler.on(window, EVENT_RESIZE, () => {\n for (const element of SelectorEngine.find('[aria-modal][class*=show][class*=offcanvas-]')) {\n if (getComputedStyle(element).position !== 'fixed') {\n Offcanvas.getOrCreateInstance(element).hide();\n }\n }\n});\nenableDismissTrigger(Offcanvas);\n\n/**\n * jQuery\n */\n\ndefineJQueryPlugin(Offcanvas);\n\n/**\n * --------------------------------------------------------------------------\n * Bootstrap util/sanitizer.js\n * Licensed under MIT (https://github.com/twbs/bootstrap/blob/main/LICENSE)\n * --------------------------------------------------------------------------\n */\n\n// js-docs-start allow-list\nconst ARIA_ATTRIBUTE_PATTERN = /^aria-[\\w-]*$/i;\nconst DefaultAllowlist = {\n // Global attributes allowed on any supplied element below.\n '*': ['class', 'dir', 'id', 'lang', 'role', ARIA_ATTRIBUTE_PATTERN],\n a: ['target', 'href', 'title', 'rel'],\n area: [],\n b: [],\n br: [],\n col: [],\n code: [],\n div: [],\n em: [],\n hr: [],\n h1: [],\n h2: [],\n h3: [],\n h4: [],\n h5: [],\n h6: [],\n i: [],\n img: ['src', 'srcset', 'alt', 'title', 'width', 'height'],\n li: [],\n ol: [],\n p: [],\n pre: [],\n s: [],\n small: [],\n span: [],\n sub: [],\n sup: [],\n strong: [],\n u: [],\n ul: []\n};\n// js-docs-end allow-list\n\nconst uriAttributes = new Set(['background', 'cite', 'href', 'itemtype', 'longdesc', 'poster', 'src', 'xlink:href']);\n\n/**\n * A pattern that recognizes URLs that are safe wrt. XSS in URL navigation\n * contexts.\n *\n * Shout-out to Angular https://github.com/angular/angular/blob/15.2.8/packages/core/src/sanitization/url_sanitizer.ts#L38\n */\n// eslint-disable-next-line unicorn/better-regex\nconst SAFE_URL_PATTERN = /^(?!javascript:)(?:[a-z0-9+.-]+:|[^&:/?#]*(?:[/?#]|$))/i;\nconst allowedAttribute = (attribute, allowedAttributeList) => {\n const attributeName = attribute.nodeName.toLowerCase();\n if (allowedAttributeList.includes(attributeName)) {\n if (uriAttributes.has(attributeName)) {\n return Boolean(SAFE_URL_PATTERN.test(attribute.nodeValue));\n }\n return true;\n }\n\n // Check if a regular expression validates the attribute.\n return allowedAttributeList.filter(attributeRegex => attributeRegex instanceof RegExp).some(regex => regex.test(attributeName));\n};\nfunction sanitizeHtml(unsafeHtml, allowList, sanitizeFunction) {\n if (!unsafeHtml.length) {\n return unsafeHtml;\n }\n if (sanitizeFunction && typeof sanitizeFunction === 'function') {\n return sanitizeFunction(unsafeHtml);\n }\n const domParser = new window.DOMParser();\n const createdDocument = domParser.parseFromString(unsafeHtml, 'text/html');\n const elements = [].concat(...createdDocument.body.querySelectorAll('*'));\n for (const element of elements) {\n const elementName = element.nodeName.toLowerCase();\n if (!Object.keys(allowList).includes(elementName)) {\n element.remove();\n continue;\n }\n const attributeList = [].concat(...element.attributes);\n const allowedAttributes = [].concat(allowList['*'] || [], allowList[elementName] || []);\n for (const attribute of attributeList) {\n if (!allowedAttribute(attribute, allowedAttributes)) {\n element.removeAttribute(attribute.nodeName);\n }\n }\n }\n return createdDocument.body.innerHTML;\n}\n\n/**\n * --------------------------------------------------------------------------\n * Bootstrap util/template-factory.js\n * Licensed under MIT (https://github.com/twbs/bootstrap/blob/main/LICENSE)\n * --------------------------------------------------------------------------\n */\n\n\n/**\n * Constants\n */\n\nconst NAME$5 = 'TemplateFactory';\nconst Default$4 = {\n allowList: DefaultAllowlist,\n content: {},\n // { selector : text , selector2 : text2 , }\n extraClass: '',\n html: false,\n sanitize: true,\n sanitizeFn: null,\n template: '
'\n};\nconst DefaultType$4 = {\n allowList: 'object',\n content: 'object',\n extraClass: '(string|function)',\n html: 'boolean',\n sanitize: 'boolean',\n sanitizeFn: '(null|function)',\n template: 'string'\n};\nconst DefaultContentType = {\n entry: '(string|element|function|null)',\n selector: '(string|element)'\n};\n\n/**\n * Class definition\n */\n\nclass TemplateFactory extends Config {\n constructor(config) {\n super();\n this._config = this._getConfig(config);\n }\n\n // Getters\n static get Default() {\n return Default$4;\n }\n static get DefaultType() {\n return DefaultType$4;\n }\n static get NAME() {\n return NAME$5;\n }\n\n // Public\n getContent() {\n return Object.values(this._config.content).map(config => this._resolvePossibleFunction(config)).filter(Boolean);\n }\n hasContent() {\n return this.getContent().length > 0;\n }\n changeContent(content) {\n this._checkContent(content);\n this._config.content = {\n ...this._config.content,\n ...content\n };\n return this;\n }\n toHtml() {\n const templateWrapper = document.createElement('div');\n templateWrapper.innerHTML = this._maybeSanitize(this._config.template);\n for (const [selector, text] of Object.entries(this._config.content)) {\n this._setContent(templateWrapper, text, selector);\n }\n const template = templateWrapper.children[0];\n const extraClass = this._resolvePossibleFunction(this._config.extraClass);\n if (extraClass) {\n template.classList.add(...extraClass.split(' '));\n }\n return template;\n }\n\n // Private\n _typeCheckConfig(config) {\n super._typeCheckConfig(config);\n this._checkContent(config.content);\n }\n _checkContent(arg) {\n for (const [selector, content] of Object.entries(arg)) {\n super._typeCheckConfig({\n selector,\n entry: content\n }, DefaultContentType);\n }\n }\n _setContent(template, content, selector) {\n const templateElement = SelectorEngine.findOne(selector, template);\n if (!templateElement) {\n return;\n }\n content = this._resolvePossibleFunction(content);\n if (!content) {\n templateElement.remove();\n return;\n }\n if (isElement(content)) {\n this._putElementInTemplate(getElement(content), templateElement);\n return;\n }\n if (this._config.html) {\n templateElement.innerHTML = this._maybeSanitize(content);\n return;\n }\n templateElement.textContent = content;\n }\n _maybeSanitize(arg) {\n return this._config.sanitize ? sanitizeHtml(arg, this._config.allowList, this._config.sanitizeFn) : arg;\n }\n _resolvePossibleFunction(arg) {\n return execute(arg, [this]);\n }\n _putElementInTemplate(element, templateElement) {\n if (this._config.html) {\n templateElement.innerHTML = '';\n templateElement.append(element);\n return;\n }\n templateElement.textContent = element.textContent;\n }\n}\n\n/**\n * --------------------------------------------------------------------------\n * Bootstrap tooltip.js\n * Licensed under MIT (https://github.com/twbs/bootstrap/blob/main/LICENSE)\n * --------------------------------------------------------------------------\n */\n\n\n/**\n * Constants\n */\n\nconst NAME$4 = 'tooltip';\nconst DISALLOWED_ATTRIBUTES = new Set(['sanitize', 'allowList', 'sanitizeFn']);\nconst CLASS_NAME_FADE$2 = 'fade';\nconst CLASS_NAME_MODAL = 'modal';\nconst CLASS_NAME_SHOW$2 = 'show';\nconst SELECTOR_TOOLTIP_INNER = '.tooltip-inner';\nconst SELECTOR_MODAL = `.${CLASS_NAME_MODAL}`;\nconst EVENT_MODAL_HIDE = 'hide.bs.modal';\nconst TRIGGER_HOVER = 'hover';\nconst TRIGGER_FOCUS = 'focus';\nconst TRIGGER_CLICK = 'click';\nconst TRIGGER_MANUAL = 'manual';\nconst EVENT_HIDE$2 = 'hide';\nconst EVENT_HIDDEN$2 = 'hidden';\nconst EVENT_SHOW$2 = 'show';\nconst EVENT_SHOWN$2 = 'shown';\nconst EVENT_INSERTED = 'inserted';\nconst EVENT_CLICK$1 = 'click';\nconst EVENT_FOCUSIN$1 = 'focusin';\nconst EVENT_FOCUSOUT$1 = 'focusout';\nconst EVENT_MOUSEENTER = 'mouseenter';\nconst EVENT_MOUSELEAVE = 'mouseleave';\nconst AttachmentMap = {\n AUTO: 'auto',\n TOP: 'top',\n RIGHT: isRTL() ? 'left' : 'right',\n BOTTOM: 'bottom',\n LEFT: isRTL() ? 'right' : 'left'\n};\nconst Default$3 = {\n allowList: DefaultAllowlist,\n animation: true,\n boundary: 'clippingParents',\n container: false,\n customClass: '',\n delay: 0,\n fallbackPlacements: ['top', 'right', 'bottom', 'left'],\n html: false,\n offset: [0, 6],\n placement: 'top',\n popperConfig: null,\n sanitize: true,\n sanitizeFn: null,\n selector: false,\n template: '
' + '
' + '
' + '
',\n title: '',\n trigger: 'hover focus'\n};\nconst DefaultType$3 = {\n allowList: 'object',\n animation: 'boolean',\n boundary: '(string|element)',\n container: '(string|element|boolean)',\n customClass: '(string|function)',\n delay: '(number|object)',\n fallbackPlacements: 'array',\n html: 'boolean',\n offset: '(array|string|function)',\n placement: '(string|function)',\n popperConfig: '(null|object|function)',\n sanitize: 'boolean',\n sanitizeFn: '(null|function)',\n selector: '(string|boolean)',\n template: 'string',\n title: '(string|element|function)',\n trigger: 'string'\n};\n\n/**\n * Class definition\n */\n\nclass Tooltip extends BaseComponent {\n constructor(element, config) {\n if (typeof Popper === 'undefined') {\n throw new TypeError('Bootstrap\\'s tooltips require Popper (https://popper.js.org)');\n }\n super(element, config);\n\n // Private\n this._isEnabled = true;\n this._timeout = 0;\n this._isHovered = null;\n this._activeTrigger = {};\n this._popper = null;\n this._templateFactory = null;\n this._newContent = null;\n\n // Protected\n this.tip = null;\n this._setListeners();\n if (!this._config.selector) {\n this._fixTitle();\n }\n }\n\n // Getters\n static get Default() {\n return Default$3;\n }\n static get DefaultType() {\n return DefaultType$3;\n }\n static get NAME() {\n return NAME$4;\n }\n\n // Public\n enable() {\n this._isEnabled = true;\n }\n disable() {\n this._isEnabled = false;\n }\n toggleEnabled() {\n this._isEnabled = !this._isEnabled;\n }\n toggle() {\n if (!this._isEnabled) {\n return;\n }\n this._activeTrigger.click = !this._activeTrigger.click;\n if (this._isShown()) {\n this._leave();\n return;\n }\n this._enter();\n }\n dispose() {\n clearTimeout(this._timeout);\n EventHandler.off(this._element.closest(SELECTOR_MODAL), EVENT_MODAL_HIDE, this._hideModalHandler);\n if (this._element.getAttribute('data-bs-original-title')) {\n this._element.setAttribute('title', this._element.getAttribute('data-bs-original-title'));\n }\n this._disposePopper();\n super.dispose();\n }\n show() {\n if (this._element.style.display === 'none') {\n throw new Error('Please use show on visible elements');\n }\n if (!(this._isWithContent() && this._isEnabled)) {\n return;\n }\n const showEvent = EventHandler.trigger(this._element, this.constructor.eventName(EVENT_SHOW$2));\n const shadowRoot = findShadowRoot(this._element);\n const isInTheDom = (shadowRoot || this._element.ownerDocument.documentElement).contains(this._element);\n if (showEvent.defaultPrevented || !isInTheDom) {\n return;\n }\n\n // TODO: v6 remove this or make it optional\n this._disposePopper();\n const tip = this._getTipElement();\n this._element.setAttribute('aria-describedby', tip.getAttribute('id'));\n const {\n container\n } = this._config;\n if (!this._element.ownerDocument.documentElement.contains(this.tip)) {\n container.append(tip);\n EventHandler.trigger(this._element, this.constructor.eventName(EVENT_INSERTED));\n }\n this._popper = this._createPopper(tip);\n tip.classList.add(CLASS_NAME_SHOW$2);\n\n // If this is a touch-enabled device we add extra\n // empty mouseover listeners to the body's immediate children;\n // only needed because of broken event delegation on iOS\n // https://www.quirksmode.org/blog/archives/2014/02/mouse_event_bub.html\n if ('ontouchstart' in document.documentElement) {\n for (const element of [].concat(...document.body.children)) {\n EventHandler.on(element, 'mouseover', noop);\n }\n }\n const complete = () => {\n EventHandler.trigger(this._element, this.constructor.eventName(EVENT_SHOWN$2));\n if (this._isHovered === false) {\n this._leave();\n }\n this._isHovered = false;\n };\n this._queueCallback(complete, this.tip, this._isAnimated());\n }\n hide() {\n if (!this._isShown()) {\n return;\n }\n const hideEvent = EventHandler.trigger(this._element, this.constructor.eventName(EVENT_HIDE$2));\n if (hideEvent.defaultPrevented) {\n return;\n }\n const tip = this._getTipElement();\n tip.classList.remove(CLASS_NAME_SHOW$2);\n\n // If this is a touch-enabled device we remove the extra\n // empty mouseover listeners we added for iOS support\n if ('ontouchstart' in document.documentElement) {\n for (const element of [].concat(...document.body.children)) {\n EventHandler.off(element, 'mouseover', noop);\n }\n }\n this._activeTrigger[TRIGGER_CLICK] = false;\n this._activeTrigger[TRIGGER_FOCUS] = false;\n this._activeTrigger[TRIGGER_HOVER] = false;\n this._isHovered = null; // it is a trick to support manual triggering\n\n const complete = () => {\n if (this._isWithActiveTrigger()) {\n return;\n }\n if (!this._isHovered) {\n this._disposePopper();\n }\n this._element.removeAttribute('aria-describedby');\n EventHandler.trigger(this._element, this.constructor.eventName(EVENT_HIDDEN$2));\n };\n this._queueCallback(complete, this.tip, this._isAnimated());\n }\n update() {\n if (this._popper) {\n this._popper.update();\n }\n }\n\n // Protected\n _isWithContent() {\n return Boolean(this._getTitle());\n }\n _getTipElement() {\n if (!this.tip) {\n this.tip = this._createTipElement(this._newContent || this._getContentForTemplate());\n }\n return this.tip;\n }\n _createTipElement(content) {\n const tip = this._getTemplateFactory(content).toHtml();\n\n // TODO: remove this check in v6\n if (!tip) {\n return null;\n }\n tip.classList.remove(CLASS_NAME_FADE$2, CLASS_NAME_SHOW$2);\n // TODO: v6 the following can be achieved with CSS only\n tip.classList.add(`bs-${this.constructor.NAME}-auto`);\n const tipId = getUID(this.constructor.NAME).toString();\n tip.setAttribute('id', tipId);\n if (this._isAnimated()) {\n tip.classList.add(CLASS_NAME_FADE$2);\n }\n return tip;\n }\n setContent(content) {\n this._newContent = content;\n if (this._isShown()) {\n this._disposePopper();\n this.show();\n }\n }\n _getTemplateFactory(content) {\n if (this._templateFactory) {\n this._templateFactory.changeContent(content);\n } else {\n this._templateFactory = new TemplateFactory({\n ...this._config,\n // the `content` var has to be after `this._config`\n // to override config.content in case of popover\n content,\n extraClass: this._resolvePossibleFunction(this._config.customClass)\n });\n }\n return this._templateFactory;\n }\n _getContentForTemplate() {\n return {\n [SELECTOR_TOOLTIP_INNER]: this._getTitle()\n };\n }\n _getTitle() {\n return this._resolvePossibleFunction(this._config.title) || this._element.getAttribute('data-bs-original-title');\n }\n\n // Private\n _initializeOnDelegatedTarget(event) {\n return this.constructor.getOrCreateInstance(event.delegateTarget, this._getDelegateConfig());\n }\n _isAnimated() {\n return this._config.animation || this.tip && this.tip.classList.contains(CLASS_NAME_FADE$2);\n }\n _isShown() {\n return this.tip && this.tip.classList.contains(CLASS_NAME_SHOW$2);\n }\n _createPopper(tip) {\n const placement = execute(this._config.placement, [this, tip, this._element]);\n const attachment = AttachmentMap[placement.toUpperCase()];\n return Popper.createPopper(this._element, tip, this._getPopperConfig(attachment));\n }\n _getOffset() {\n const {\n offset\n } = this._config;\n if (typeof offset === 'string') {\n return offset.split(',').map(value => Number.parseInt(value, 10));\n }\n if (typeof offset === 'function') {\n return popperData => offset(popperData, this._element);\n }\n return offset;\n }\n _resolvePossibleFunction(arg) {\n return execute(arg, [this._element]);\n }\n _getPopperConfig(attachment) {\n const defaultBsPopperConfig = {\n placement: attachment,\n modifiers: [{\n name: 'flip',\n options: {\n fallbackPlacements: this._config.fallbackPlacements\n }\n }, {\n name: 'offset',\n options: {\n offset: this._getOffset()\n }\n }, {\n name: 'preventOverflow',\n options: {\n boundary: this._config.boundary\n }\n }, {\n name: 'arrow',\n options: {\n element: `.${this.constructor.NAME}-arrow`\n }\n }, {\n name: 'preSetPlacement',\n enabled: true,\n phase: 'beforeMain',\n fn: data => {\n // Pre-set Popper's placement attribute in order to read the arrow sizes properly.\n // Otherwise, Popper mixes up the width and height dimensions since the initial arrow style is for top placement\n this._getTipElement().setAttribute('data-popper-placement', data.state.placement);\n }\n }]\n };\n return {\n ...defaultBsPopperConfig,\n ...execute(this._config.popperConfig, [defaultBsPopperConfig])\n };\n }\n _setListeners() {\n const triggers = this._config.trigger.split(' ');\n for (const trigger of triggers) {\n if (trigger === 'click') {\n EventHandler.on(this._element, this.constructor.eventName(EVENT_CLICK$1), this._config.selector, event => {\n const context = this._initializeOnDelegatedTarget(event);\n context.toggle();\n });\n } else if (trigger !== TRIGGER_MANUAL) {\n const eventIn = trigger === TRIGGER_HOVER ? this.constructor.eventName(EVENT_MOUSEENTER) : this.constructor.eventName(EVENT_FOCUSIN$1);\n const eventOut = trigger === TRIGGER_HOVER ? this.constructor.eventName(EVENT_MOUSELEAVE) : this.constructor.eventName(EVENT_FOCUSOUT$1);\n EventHandler.on(this._element, eventIn, this._config.selector, event => {\n const context = this._initializeOnDelegatedTarget(event);\n context._activeTrigger[event.type === 'focusin' ? TRIGGER_FOCUS : TRIGGER_HOVER] = true;\n context._enter();\n });\n EventHandler.on(this._element, eventOut, this._config.selector, event => {\n const context = this._initializeOnDelegatedTarget(event);\n context._activeTrigger[event.type === 'focusout' ? TRIGGER_FOCUS : TRIGGER_HOVER] = context._element.contains(event.relatedTarget);\n context._leave();\n });\n }\n }\n this._hideModalHandler = () => {\n if (this._element) {\n this.hide();\n }\n };\n EventHandler.on(this._element.closest(SELECTOR_MODAL), EVENT_MODAL_HIDE, this._hideModalHandler);\n }\n _fixTitle() {\n const title = this._element.getAttribute('title');\n if (!title) {\n return;\n }\n if (!this._element.getAttribute('aria-label') && !this._element.textContent.trim()) {\n this._element.setAttribute('aria-label', title);\n }\n this._element.setAttribute('data-bs-original-title', title); // DO NOT USE IT. Is only for backwards compatibility\n this._element.removeAttribute('title');\n }\n _enter() {\n if (this._isShown() || this._isHovered) {\n this._isHovered = true;\n return;\n }\n this._isHovered = true;\n this._setTimeout(() => {\n if (this._isHovered) {\n this.show();\n }\n }, this._config.delay.show);\n }\n _leave() {\n if (this._isWithActiveTrigger()) {\n return;\n }\n this._isHovered = false;\n this._setTimeout(() => {\n if (!this._isHovered) {\n this.hide();\n }\n }, this._config.delay.hide);\n }\n _setTimeout(handler, timeout) {\n clearTimeout(this._timeout);\n this._timeout = setTimeout(handler, timeout);\n }\n _isWithActiveTrigger() {\n return Object.values(this._activeTrigger).includes(true);\n }\n _getConfig(config) {\n const dataAttributes = Manipulator.getDataAttributes(this._element);\n for (const dataAttribute of Object.keys(dataAttributes)) {\n if (DISALLOWED_ATTRIBUTES.has(dataAttribute)) {\n delete dataAttributes[dataAttribute];\n }\n }\n config = {\n ...dataAttributes,\n ...(typeof config === 'object' && config ? config : {})\n };\n config = this._mergeConfigObj(config);\n config = this._configAfterMerge(config);\n this._typeCheckConfig(config);\n return config;\n }\n _configAfterMerge(config) {\n config.container = config.container === false ? document.body : getElement(config.container);\n if (typeof config.delay === 'number') {\n config.delay = {\n show: config.delay,\n hide: config.delay\n };\n }\n if (typeof config.title === 'number') {\n config.title = config.title.toString();\n }\n if (typeof config.content === 'number') {\n config.content = config.content.toString();\n }\n return config;\n }\n _getDelegateConfig() {\n const config = {};\n for (const [key, value] of Object.entries(this._config)) {\n if (this.constructor.Default[key] !== value) {\n config[key] = value;\n }\n }\n config.selector = false;\n config.trigger = 'manual';\n\n // In the future can be replaced with:\n // const keysWithDifferentValues = Object.entries(this._config).filter(entry => this.constructor.Default[entry[0]] !== this._config[entry[0]])\n // `Object.fromEntries(keysWithDifferentValues)`\n return config;\n }\n _disposePopper() {\n if (this._popper) {\n this._popper.destroy();\n this._popper = null;\n }\n if (this.tip) {\n this.tip.remove();\n this.tip = null;\n }\n }\n\n // Static\n static jQueryInterface(config) {\n return this.each(function () {\n const data = Tooltip.getOrCreateInstance(this, config);\n if (typeof config !== 'string') {\n return;\n }\n if (typeof data[config] === 'undefined') {\n throw new TypeError(`No method named \"${config}\"`);\n }\n data[config]();\n });\n }\n}\n\n/**\n * jQuery\n */\n\ndefineJQueryPlugin(Tooltip);\n\n/**\n * --------------------------------------------------------------------------\n * Bootstrap popover.js\n * Licensed under MIT (https://github.com/twbs/bootstrap/blob/main/LICENSE)\n * --------------------------------------------------------------------------\n */\n\n\n/**\n * Constants\n */\n\nconst NAME$3 = 'popover';\nconst SELECTOR_TITLE = '.popover-header';\nconst SELECTOR_CONTENT = '.popover-body';\nconst Default$2 = {\n ...Tooltip.Default,\n content: '',\n offset: [0, 8],\n placement: 'right',\n template: '
' + '
' + '

' + '
' + '
',\n trigger: 'click'\n};\nconst DefaultType$2 = {\n ...Tooltip.DefaultType,\n content: '(null|string|element|function)'\n};\n\n/**\n * Class definition\n */\n\nclass Popover extends Tooltip {\n // Getters\n static get Default() {\n return Default$2;\n }\n static get DefaultType() {\n return DefaultType$2;\n }\n static get NAME() {\n return NAME$3;\n }\n\n // Overrides\n _isWithContent() {\n return this._getTitle() || this._getContent();\n }\n\n // Private\n _getContentForTemplate() {\n return {\n [SELECTOR_TITLE]: this._getTitle(),\n [SELECTOR_CONTENT]: this._getContent()\n };\n }\n _getContent() {\n return this._resolvePossibleFunction(this._config.content);\n }\n\n // Static\n static jQueryInterface(config) {\n return this.each(function () {\n const data = Popover.getOrCreateInstance(this, config);\n if (typeof config !== 'string') {\n return;\n }\n if (typeof data[config] === 'undefined') {\n throw new TypeError(`No method named \"${config}\"`);\n }\n data[config]();\n });\n }\n}\n\n/**\n * jQuery\n */\n\ndefineJQueryPlugin(Popover);\n\n/**\n * --------------------------------------------------------------------------\n * Bootstrap scrollspy.js\n * Licensed under MIT (https://github.com/twbs/bootstrap/blob/main/LICENSE)\n * --------------------------------------------------------------------------\n */\n\n\n/**\n * Constants\n */\n\nconst NAME$2 = 'scrollspy';\nconst DATA_KEY$2 = 'bs.scrollspy';\nconst EVENT_KEY$2 = `.${DATA_KEY$2}`;\nconst DATA_API_KEY = '.data-api';\nconst EVENT_ACTIVATE = `activate${EVENT_KEY$2}`;\nconst EVENT_CLICK = `click${EVENT_KEY$2}`;\nconst EVENT_LOAD_DATA_API$1 = `load${EVENT_KEY$2}${DATA_API_KEY}`;\nconst CLASS_NAME_DROPDOWN_ITEM = 'dropdown-item';\nconst CLASS_NAME_ACTIVE$1 = 'active';\nconst SELECTOR_DATA_SPY = '[data-bs-spy=\"scroll\"]';\nconst SELECTOR_TARGET_LINKS = '[href]';\nconst SELECTOR_NAV_LIST_GROUP = '.nav, .list-group';\nconst SELECTOR_NAV_LINKS = '.nav-link';\nconst SELECTOR_NAV_ITEMS = '.nav-item';\nconst SELECTOR_LIST_ITEMS = '.list-group-item';\nconst SELECTOR_LINK_ITEMS = `${SELECTOR_NAV_LINKS}, ${SELECTOR_NAV_ITEMS} > ${SELECTOR_NAV_LINKS}, ${SELECTOR_LIST_ITEMS}`;\nconst SELECTOR_DROPDOWN = '.dropdown';\nconst SELECTOR_DROPDOWN_TOGGLE$1 = '.dropdown-toggle';\nconst Default$1 = {\n offset: null,\n // TODO: v6 @deprecated, keep it for backwards compatibility reasons\n rootMargin: '0px 0px -25%',\n smoothScroll: false,\n target: null,\n threshold: [0.1, 0.5, 1]\n};\nconst DefaultType$1 = {\n offset: '(number|null)',\n // TODO v6 @deprecated, keep it for backwards compatibility reasons\n rootMargin: 'string',\n smoothScroll: 'boolean',\n target: 'element',\n threshold: 'array'\n};\n\n/**\n * Class definition\n */\n\nclass ScrollSpy extends BaseComponent {\n constructor(element, config) {\n super(element, config);\n\n // this._element is the observablesContainer and config.target the menu links wrapper\n this._targetLinks = new Map();\n this._observableSections = new Map();\n this._rootElement = getComputedStyle(this._element).overflowY === 'visible' ? null : this._element;\n this._activeTarget = null;\n this._observer = null;\n this._previousScrollData = {\n visibleEntryTop: 0,\n parentScrollTop: 0\n };\n this.refresh(); // initialize\n }\n\n // Getters\n static get Default() {\n return Default$1;\n }\n static get DefaultType() {\n return DefaultType$1;\n }\n static get NAME() {\n return NAME$2;\n }\n\n // Public\n refresh() {\n this._initializeTargetsAndObservables();\n this._maybeEnableSmoothScroll();\n if (this._observer) {\n this._observer.disconnect();\n } else {\n this._observer = this._getNewObserver();\n }\n for (const section of this._observableSections.values()) {\n this._observer.observe(section);\n }\n }\n dispose() {\n this._observer.disconnect();\n super.dispose();\n }\n\n // Private\n _configAfterMerge(config) {\n // TODO: on v6 target should be given explicitly & remove the {target: 'ss-target'} case\n config.target = getElement(config.target) || document.body;\n\n // TODO: v6 Only for backwards compatibility reasons. Use rootMargin only\n config.rootMargin = config.offset ? `${config.offset}px 0px -30%` : config.rootMargin;\n if (typeof config.threshold === 'string') {\n config.threshold = config.threshold.split(',').map(value => Number.parseFloat(value));\n }\n return config;\n }\n _maybeEnableSmoothScroll() {\n if (!this._config.smoothScroll) {\n return;\n }\n\n // unregister any previous listeners\n EventHandler.off(this._config.target, EVENT_CLICK);\n EventHandler.on(this._config.target, EVENT_CLICK, SELECTOR_TARGET_LINKS, event => {\n const observableSection = this._observableSections.get(event.target.hash);\n if (observableSection) {\n event.preventDefault();\n const root = this._rootElement || window;\n const height = observableSection.offsetTop - this._element.offsetTop;\n if (root.scrollTo) {\n root.scrollTo({\n top: height,\n behavior: 'smooth'\n });\n return;\n }\n\n // Chrome 60 doesn't support `scrollTo`\n root.scrollTop = height;\n }\n });\n }\n _getNewObserver() {\n const options = {\n root: this._rootElement,\n threshold: this._config.threshold,\n rootMargin: this._config.rootMargin\n };\n return new IntersectionObserver(entries => this._observerCallback(entries), options);\n }\n\n // The logic of selection\n _observerCallback(entries) {\n const targetElement = entry => this._targetLinks.get(`#${entry.target.id}`);\n const activate = entry => {\n this._previousScrollData.visibleEntryTop = entry.target.offsetTop;\n this._process(targetElement(entry));\n };\n const parentScrollTop = (this._rootElement || document.documentElement).scrollTop;\n const userScrollsDown = parentScrollTop >= this._previousScrollData.parentScrollTop;\n this._previousScrollData.parentScrollTop = parentScrollTop;\n for (const entry of entries) {\n if (!entry.isIntersecting) {\n this._activeTarget = null;\n this._clearActiveClass(targetElement(entry));\n continue;\n }\n const entryIsLowerThanPrevious = entry.target.offsetTop >= this._previousScrollData.visibleEntryTop;\n // if we are scrolling down, pick the bigger offsetTop\n if (userScrollsDown && entryIsLowerThanPrevious) {\n activate(entry);\n // if parent isn't scrolled, let's keep the first visible item, breaking the iteration\n if (!parentScrollTop) {\n return;\n }\n continue;\n }\n\n // if we are scrolling up, pick the smallest offsetTop\n if (!userScrollsDown && !entryIsLowerThanPrevious) {\n activate(entry);\n }\n }\n }\n _initializeTargetsAndObservables() {\n this._targetLinks = new Map();\n this._observableSections = new Map();\n const targetLinks = SelectorEngine.find(SELECTOR_TARGET_LINKS, this._config.target);\n for (const anchor of targetLinks) {\n // ensure that the anchor has an id and is not disabled\n if (!anchor.hash || isDisabled(anchor)) {\n continue;\n }\n const observableSection = SelectorEngine.findOne(decodeURI(anchor.hash), this._element);\n\n // ensure that the observableSection exists & is visible\n if (isVisible(observableSection)) {\n this._targetLinks.set(decodeURI(anchor.hash), anchor);\n this._observableSections.set(anchor.hash, observableSection);\n }\n }\n }\n _process(target) {\n if (this._activeTarget === target) {\n return;\n }\n this._clearActiveClass(this._config.target);\n this._activeTarget = target;\n target.classList.add(CLASS_NAME_ACTIVE$1);\n this._activateParents(target);\n EventHandler.trigger(this._element, EVENT_ACTIVATE, {\n relatedTarget: target\n });\n }\n _activateParents(target) {\n // Activate dropdown parents\n if (target.classList.contains(CLASS_NAME_DROPDOWN_ITEM)) {\n SelectorEngine.findOne(SELECTOR_DROPDOWN_TOGGLE$1, target.closest(SELECTOR_DROPDOWN)).classList.add(CLASS_NAME_ACTIVE$1);\n return;\n }\n for (const listGroup of SelectorEngine.parents(target, SELECTOR_NAV_LIST_GROUP)) {\n // Set triggered links parents as active\n // With both