diff --git a/.gitignore b/.gitignore index 09e9d86a..7d0d9b43 100644 --- a/.gitignore +++ b/.gitignore @@ -126,3 +126,5 @@ nosetests.xml coverage.xml *,cover .pytest_cache/ + +src/grid/_version.py diff --git a/Halton_Grid_Report.pdf b/Halton_Grid_Report.pdf new file mode 100644 index 00000000..599d16a1 Binary files /dev/null and b/Halton_Grid_Report.pdf differ diff --git a/examples/Halton_Grid.ipynb b/examples/Halton_Grid.ipynb new file mode 100644 index 00000000..cdfdb911 --- /dev/null +++ b/examples/Halton_Grid.ipynb @@ -0,0 +1,649 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "[![Open In Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/theochem/grid/blob/master/examples/Quickstart.ipynb)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "source": [ + "# Halton Grid\n", + "\n", + "This notebook demonstrates the use of the Halton low-discrepancy sequence\n", + "for numerical integration over a three-dimensional cubic domain.\n", + "\n", + "The Halton sequence generates deterministic points in the unit cube\n", + "$[0, 1]^3$ using radical-inverse constructions based on successive prime\n", + "numbers.\n", + "\n", + "## Constructing a Halton Grid" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "ExecuteTime": { + "end_time": "2024-01-04T00:42:57.120918803Z", + "start_time": "2024-01-04T00:42:56.703100364Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Number of points: 1000\n", + "Dimensions: 3\n", + "First five points:\n", + "[[0.5 0.33333333 0.2 ]\n", + " [0.25 0.66666667 0.4 ]\n", + " [0.75 0.11111111 0.6 ]\n", + " [0.125 0.44444444 0.8 ]\n", + " [0.625 0.77777778 0.04 ]]\n", + "Sum of weights: 1.0000000000000004\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "from grid import Halton\n", + "\n", + "grid = Halton(1000, 3)\n", + "\n", + "print(\"Number of points:\", grid.size)\n", + "print(\"Dimensions:\", grid.points.shape[1])\n", + "print(\"First five points:\")\n", + "print(grid.points[:5])\n", + "print(\"Sum of weights:\", grid.weights.sum())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Integrating a Function\n", + "\n", + "As a simple example, consider the integral\n", + "\n", + "$$\n", + "\\int_{[0,1]^3} (x^2 + y^2 + z^2)\\,dx\\,dy\\,dz.\n", + "$$\n", + "\n", + "The exact value is $1$, since each squared coordinate contributes $1/3$." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "ExecuteTime": { + "end_time": "2024-01-04T00:42:57.130080931Z", + "start_time": "2024-01-04T00:42:57.121493162Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Halton estimate: 0.9959494573572703\n", + "Exact value: 1.0\n", + "Absolute error: 0.004050542642729749\n" + ] + } + ], + "source": [ + "values = np.sum(grid.points**2, axis=1)\n", + "\n", + "estimate = grid.integrate(values)\n", + "\n", + "print(\"Halton estimate:\", estimate)\n", + "print(\"Exact value:\", 1.0)\n", + "print(\"Absolute error:\", abs(estimate - 1.0))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Comparing Different Dimensions\n", + "\n", + "The same construction can be used directly in different dimensions." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "ExecuteTime": { + "end_time": "2024-01-04T00:42:57.160836403Z", + "start_time": "2024-01-04T00:42:57.128706973Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1D grid shape: (1000, 1)\n", + "2D grid shape: (1000, 2)\n", + "3D grid shape: (1000, 3)\n", + "5D grid shape: (1000, 5)\n" + ] + } + ], + "source": [ + "for ndim in (1, 2, 3, 5):\n", + " grid_nd = Halton(1000, ndim)\n", + " print(f\"{ndim}D grid shape: {grid_nd.points.shape}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Visualizing the Three-Dimensional Points\n", + "\n", + "The first few thousand points can be visualized to illustrate the\n", + "distribution of the sequence throughout the unit cube." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "ExecuteTime": { + "end_time": "2024-01-04T00:42:57.186055848Z", + "start_time": "2024-01-04T00:42:57.146226279Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "\n", + "grid_3d = Halton(1000, 3)\n", + "\n", + "fig = plt.figure(figsize=(7, 6))\n", + "ax = fig.add_subplot(projection=\"3d\")\n", + "\n", + "ax.scatter(\n", + " grid_3d.points[:, 0],\n", + " grid_3d.points[:, 1],\n", + " grid_3d.points[:, 2],\n", + " s=4,\n", + ")\n", + "\n", + "ax.set_xlabel(\"x\")\n", + "ax.set_ylabel(\"y\")\n", + "ax.set_zlabel(\"z\")\n", + "ax.set_title(\"Halton sequence in $[0,1]^3$\")\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Mapping to a Cubic Domain\n", + "\n", + "The unit-cube construction can be mapped to any finite cubic domain.\n", + "For example, a point $(u,v,w)$ in $[0,1]^3$ can be mapped to\n", + "$[-1,1]^3$ using\n", + "\n", + "$$\n", + "x = 2u - 1,\\qquad\n", + "y = 2v - 1,\\qquad\n", + "z = 2w - 1.\n", + "$$\n", + "\n", + "The corresponding integration weights must be multiplied by the\n", + "Jacobian of the transformation." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "ExecuteTime": { + "end_time": "2024-01-04T00:42:57.915566065Z", + "start_time": "2024-01-04T00:42:57.183488530Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Mapped point range:\n", + "[-0.99804688 -0.99908551 -0.99936 ] [0.99609375 0.99725652 0.9968 ]\n", + "Sum of weights: 8.000000000000004\n" + ] + } + ], + "source": [ + "unit_grid = Halton(1000, 3)\n", + "\n", + "points = 2.0 * unit_grid.points - 1.0\n", + "weights = unit_grid.weights * 2.0**3\n", + "\n", + "print(\"Mapped point range:\")\n", + "print(points.min(axis=0), points.max(axis=0))\n", + "print(\"Sum of weights:\", weights.sum())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Summary\n", + "\n", + "`Halton` provides a simple deterministic low-discrepancy sequence for\n", + "multidimensional integration. It can be constructed for an arbitrary\n", + "number of points and dimensions and can be mapped to other finite\n", + "hypercubic domains using standard coordinate transformations." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "ExecuteTime": { + "end_time": "2024-01-04T00:42:57.922957880Z", + "start_time": "2024-01-04T00:42:57.918228956Z" + } + }, + "outputs": [ + { + "ename": "NameError", + "evalue": "name 'atcoords' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[31m---------------------------------------------------------------------------\u001b[39m", + "\u001b[31mNameError\u001b[39m Traceback (most recent call last)", + "\u001b[36mCell\u001b[39m\u001b[36m \u001b[39m\u001b[32mIn[6]\u001b[39m\u001b[32m, line 2\u001b[39m\n\u001b[32m 1\u001b[39m \u001b[38;5;66;03m# compute the distance between the two atoms\u001b[39;00m\n\u001b[32m----> \u001b[39m\u001b[32m2\u001b[39m R = np.linalg.norm(atcoords[\u001b[32m0\u001b[39m] - atcoords[\u001b[32m1\u001b[39m])\n\u001b[32m 3\u001b[39m \n\u001b[32m 4\u001b[39m \u001b[38;5;66;03m# Evaluate 1s orbitals (centered on each atom) on the entire grid points\u001b[39;00m\n\u001b[32m 5\u001b[39m s1_a_vals = np.sqrt(\u001b[32m1\u001b[39m / np.pi) * np.exp(-np.linalg.norm(mgrid.points - atcoords[\u001b[32m0\u001b[39m], axis=\u001b[32m1\u001b[39m))\n", + "\u001b[31mNameError\u001b[39m: name 'atcoords' is not defined" + ] + } + ], + "source": [ + "# compute the distance between the two atoms\n", + "R = np.linalg.norm(atcoords[0] - atcoords[1])\n", + "\n", + "# Evaluate 1s orbitals (centered on each atom) on the entire grid points\n", + "s1_a_vals = np.sqrt(1 / np.pi) * np.exp(-np.linalg.norm(mgrid.points - atcoords[0], axis=1))\n", + "s1_b_vals = np.sqrt(1 / np.pi) * np.exp(-np.linalg.norm(mgrid.points - atcoords[1], axis=1))\n", + "\n", + "# Calculate overlap integral analytically and numerically\n", + "S_ab = (1.0 + R + R**2 / 3) * np.exp(-R)\n", + "S_ab_num = mgrid.integrate(s1_a_vals * s1_b_vals)\n", + "\n", + "print(f\"Overlap integral (analytical): {S_ab}\")\n", + "print(f\"Overlap integral (numerical) : {S_ab_num}\\n\")\n", + "\n", + "# Calculate normalization constant analytically and numerically\n", + "N = 1.0 / np.sqrt(2 + 2 * S_ab)\n", + "N_num = 1.0 / np.sqrt(mgrid.integrate((s1_a_vals + s1_b_vals) ** 2))\n", + "\n", + "print(f\"Normalization constant (analytical): {N}\")\n", + "print(f\"Normalization constant (numerical) : {N_num}\\n\")\n", + "\n", + "# Build the wavefunction values on the grid points as a sum of 1s orbitals (centered on each atom)\n", + "psi_vals = N_num * (s1_a_vals + s1_b_vals)\n", + "\n", + "# Compute the electron density and integrate it across all space\n", + "dens_vals = psi_vals**2\n", + "n_electrons = mgrid.integrate(dens_vals)\n", + "print(f\"Integral of the electron density: {n_electrons} (expected to be 1)\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Interpolate Electron Density on the Grid\n", + "\n", + "The [grid.interpolate](https://grid.qcdevs.org/pyapi/grid.molgrid.html#grid.molgrid.MolGrid.interpolate) functionality can be used to interpolate any scalar function at any point in space from evaluating the function on the grid points. Here, we use the electron density of $\\mathrm{H}_{2}^{+}$ evaluated on the molecular grid to interpolate the electron density on a set of uniformly distributed points in the xy-plane (stored in `points` variable).\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "ExecuteTime": { + "end_time": "2024-01-04T00:42:58.800217581Z", + "start_time": "2024-01-04T00:42:57.925281663Z" + } + }, + "outputs": [], + "source": [ + "# Sample points uniformly in the xy-plane (z=0)\n", + "x_grid = np.linspace(-3, 3, 100)\n", + "y_grid = np.linspace(-3, 3, 100)\n", + "x_grid, y_grid = np.meshgrid(x_grid, y_grid)\n", + "x_grid = x_grid.flatten()\n", + "y_grid = y_grid.flatten()\n", + "z_grid = np.zeros_like(x_grid)\n", + "points = np.array([x_grid, y_grid, z_grid]).T\n", + "\n", + "# Interpolated electron density one the xy-plane\n", + "func_interpolation = mgrid.interpolate(dens_vals)\n", + "rho_iner = func_interpolation(points=points).reshape(100, 100)\n", + "\n", + "# Create 3D Counterplot of the interpolated electron density\n", + "fig = plt.figure(figsize=(8, 6))\n", + "ax1 = fig.add_subplot(111, projection=\"3d\")\n", + "\n", + "# Adjust the limits to fit your data\n", + "ax1.set_xlim((-3, 3))\n", + "ax1.set_ylim((-3, 3))\n", + "ax1.set_zlim((0, 0.1))\n", + "\n", + "# Plot the interpolated electron density\n", + "ax1.plot_surface(x_grid.reshape(100, 100), y_grid.reshape(100, 100), rho_iner, cmap=\"viridis\")\n", + "\n", + "# Change the view angle, set labels and title\n", + "ax1.view_init(elev=20, azim=20)\n", + "ax1.set_xlabel(\"X\")\n", + "ax1.set_ylabel(\"Y\")\n", + "ax1.set_zlabel(\"Interpolated Electron Density\")\n", + "ax1.set_title(\"Interpolated Electron Density for $H_2^+$ on XY Plane\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Check Interpolation Accuracy\n", + "\n", + "Here we compare the interpolated density values in the xy-planes to the actual values computed by the analytical expression.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "ExecuteTime": { + "end_time": "2024-01-04T00:42:58.968792445Z", + "start_time": "2024-01-04T00:42:58.800183649Z" + } + }, + "outputs": [ + { + "ename": "NameError", + "evalue": "name 'atcoords' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[31m---------------------------------------------------------------------------\u001b[39m", + "\u001b[31mNameError\u001b[39m Traceback (most recent call last)", + "\u001b[36mCell\u001b[39m\u001b[36m \u001b[39m\u001b[32mIn[7]\u001b[39m\u001b[32m, line 2\u001b[39m\n\u001b[32m 1\u001b[39m \u001b[38;5;66;03m# Compute electron density on the xy-plane points analytically\u001b[39;00m\n\u001b[32m----> \u001b[39m\u001b[32m2\u001b[39m s1_a_vals = np.sqrt(\u001b[32m1\u001b[39m / np.pi) * np.exp(-np.linalg.norm(points - atcoords[\u001b[32m0\u001b[39m], axis=\u001b[32m1\u001b[39m))\n\u001b[32m 3\u001b[39m s1_b_vals = np.sqrt(\u001b[32m1\u001b[39m / np.pi) * np.exp(-np.linalg.norm(points - atcoords[\u001b[32m1\u001b[39m], axis=\u001b[32m1\u001b[39m))\n\u001b[32m 4\u001b[39m psi_vals = N_num * (s1_a_vals + s1_b_vals)\n\u001b[32m 5\u001b[39m rho = psi_vals**\u001b[32m2\u001b[39m\n", + "\u001b[31mNameError\u001b[39m: name 'atcoords' is not defined" + ] + } + ], + "source": [ + "# Compute electron density on the xy-plane points analytically\n", + "s1_a_vals = np.sqrt(1 / np.pi) * np.exp(-np.linalg.norm(points - atcoords[0], axis=1))\n", + "s1_b_vals = np.sqrt(1 / np.pi) * np.exp(-np.linalg.norm(points - atcoords[1], axis=1))\n", + "psi_vals = N_num * (s1_a_vals + s1_b_vals)\n", + "rho = psi_vals**2\n", + "\n", + "# Compute the electron density and integrate it across all space\n", + "rho_iner = func_interpolation(points=points)\n", + "\n", + "print(\"Compare interpolated and analytical electron density\")\n", + "print(f\"Maximum Absolute Different: {np.max(np.abs(rho_iner - rho))}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Differentiate Electron Density on the Grid\n", + "\n", + "Given the value of a scalar function on the grid points, the [grid.interpolate](https://grid.qcdevs.org/pyapi/grid.molgrid.html#grid.molgrid.MolGrid.interpolate) can also be used to find the function derivative at any point in space. Here, we find the gradient of the electron density of $\\mathrm{H}_{2}^{+}$ evaluated on a set of uniformly distributed points in a xy-plane (stored in `points` variable).\n" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "ExecuteTime": { + "end_time": "2024-01-04T00:42:59.343765611Z", + "start_time": "2024-01-04T00:42:58.973168155Z" + } + }, + "outputs": [ + { + "ename": "NameError", + "evalue": "name 'func_interpolation' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[31m---------------------------------------------------------------------------\u001b[39m", + "\u001b[31mNameError\u001b[39m Traceback (most recent call last)", + "\u001b[36mCell\u001b[39m\u001b[36m \u001b[39m\u001b[32mIn[8]\u001b[39m\u001b[32m, line 11\u001b[39m\n\u001b[32m 7\u001b[39m z_grid = np.zeros_like(x_grid)\n\u001b[32m 8\u001b[39m points = np.array([x_grid, y_grid, z_grid]).T\n\u001b[32m 9\u001b[39m \n\u001b[32m 10\u001b[39m \u001b[38;5;66;03m# Interpolated gradient of electron density one the xy-plane\u001b[39;00m\n\u001b[32m---> \u001b[39m\u001b[32m11\u001b[39m grad_rho_iner = func_interpolation(points=points, deriv=\u001b[32m1\u001b[39m)\n\u001b[32m 12\u001b[39m \n\u001b[32m 13\u001b[39m print(\u001b[33m\"For each point, the gradient is a vector with 3 components\"\u001b[39m)\n\u001b[32m 14\u001b[39m print(f\"Shape of the gradient array for {len(points)} points: {grad_rho_iner.shape}\\n\")\n", + "\u001b[31mNameError\u001b[39m: name 'func_interpolation' is not defined" + ] + } + ], + "source": [ + "# Sample points uniformly in the xy-plane (z=0)\n", + "x_grid = np.linspace(-3, 3, 50)\n", + "y_grid = np.linspace(-3, 3, 50)\n", + "x_grid, y_grid = np.meshgrid(x_grid, y_grid)\n", + "x_grid = x_grid.flatten()\n", + "y_grid = y_grid.flatten()\n", + "z_grid = np.zeros_like(x_grid)\n", + "points = np.array([x_grid, y_grid, z_grid]).T\n", + "\n", + "# Interpolated gradient of electron density one the xy-plane\n", + "grad_rho_iner = func_interpolation(points=points, deriv=1)\n", + "\n", + "print(\"For each point, the gradient is a vector with 3 components\")\n", + "print(f\"Shape of the gradient array for {len(points)} points: {grad_rho_iner.shape}\\n\")\n", + "print(f\"In a planar molecule, the gradient in the molecular plane should not have a z-component\")\n", + "print(f\"Maximum z-component of the interpolated gradient: {np.max(np.abs(grad_rho_iner[:, 2]))}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Check interpolated derivative accuracy\n", + "\n", + "Check the accuracy of the gradient by comparing it to the analytical gradient computed by the analytical expression.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "ExecuteTime": { + "end_time": "2024-01-04T00:42:59.347255973Z", + "start_time": "2024-01-04T00:42:59.343692056Z" + } + }, + "outputs": [ + { + "ename": "NameError", + "evalue": "name 'atcoords' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[31m---------------------------------------------------------------------------\u001b[39m", + "\u001b[31mNameError\u001b[39m Traceback (most recent call last)", + "\u001b[36mCell\u001b[39m\u001b[36m \u001b[39m\u001b[32mIn[9]\u001b[39m\u001b[32m, line 2\u001b[39m\n\u001b[32m 1\u001b[39m \u001b[38;5;66;03m# Compute psi values analytically\u001b[39;00m\n\u001b[32m----> \u001b[39m\u001b[32m2\u001b[39m s1_a_vals = np.sqrt(\u001b[32m1\u001b[39m / np.pi) * np.exp(-np.linalg.norm(points - atcoords[\u001b[32m0\u001b[39m], axis=\u001b[32m1\u001b[39m))\n\u001b[32m 3\u001b[39m s1_b_vals = np.sqrt(\u001b[32m1\u001b[39m / np.pi) * np.exp(-np.linalg.norm(points - atcoords[\u001b[32m1\u001b[39m], axis=\u001b[32m1\u001b[39m))\n\u001b[32m 4\u001b[39m psi_vals = N_num * (s1_a_vals + s1_b_vals)\n\u001b[32m 5\u001b[39m \n", + "\u001b[31mNameError\u001b[39m: name 'atcoords' is not defined" + ] + } + ], + "source": [ + "# Compute psi values analytically\n", + "s1_a_vals = np.sqrt(1 / np.pi) * np.exp(-np.linalg.norm(points - atcoords[0], axis=1))\n", + "s1_b_vals = np.sqrt(1 / np.pi) * np.exp(-np.linalg.norm(points - atcoords[1], axis=1))\n", + "psi_vals = N_num * (s1_a_vals + s1_b_vals)\n", + "\n", + "# Compute the gradient of psi analytically\n", + "s1_a_grad = s1_a_vals[:, np.newaxis] * (points - atcoords[0])\n", + "s1_b_grad = s1_b_vals[:, np.newaxis] * (points - atcoords[1])\n", + "psi_grad = N_num * (s1_a_grad + s1_b_grad)\n", + "\n", + "# Compute gradient of electron rho analytically\n", + "rho_grad = -2 * psi_vals[:, np.newaxis] * psi_grad\n", + "\n", + "print(\"Compare interpolated and analytical electron density gradient\")\n", + "print(f\"Maximum Absolute Difference in any component: {np.max(np.abs(grad_rho_iner - rho_grad))}\")\n", + "print(f\"Mean Absolute Difference in any component: {np.mean(np.abs(grad_rho_iner - rho_grad))}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Graphical comparisons of the accuracy\n", + "\n", + "Here, a graphical illustration is done to compare the accuracy of the interpolation of the derivative. It will be shown that the areas close to the nuclei have the largest errors.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "ExecuteTime": { + "end_time": "2024-01-04T00:42:59.557156982Z", + "start_time": "2024-01-04T00:42:59.350987166Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# compute the norm of the difference between the interpolated and analytical gradient\n", + "rho_error_norm = np.linalg.norm(grad_rho_iner - rho_grad, axis=1)\n", + "# divide by the norm of the analytical gradient\n", + "rho_error_norm /= np.linalg.norm(rho_grad, axis=1)\n", + "\n", + "# create heatmap of the relative error\n", + "rho_error_norm = rho_error_norm.reshape(50, 50)\n", + "fig = plt.figure(figsize=(8, 6))\n", + "ax1 = fig.add_subplot(111)\n", + "\n", + "# Adjust the limits to fit your data\n", + "ax1.set_xlim((-3, 3))\n", + "ax1.set_ylim((-3, 3))\n", + "\n", + "# Plot the error heatmap\n", + "im = ax1.imshow(rho_error_norm, cmap=\"viridis\", interpolation=\"none\", extent=(-3, 3, -3, 3))\n", + "fig.colorbar(im)\n", + "\n", + "# Set labels and title\n", + "ax1.set_xlabel(\"X\")\n", + "ax1.set_ylabel(\"Y\")\n", + "ax1.set_title(\n", + " \"Relative Error of the Gradient of Electron Density for $H_2^+$ in the Molecular Plane\"\n", + ")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "ExecuteTime": { + "end_time": "2024-01-04T00:42:59.806221747Z", + "start_time": "2024-01-04T00:42:59.569675018Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Create vectorial map of the interpolated and the analytical gradient\n", + "fig = plt.figure(figsize=(8, 4))\n", + "ax1 = fig.add_subplot(121)\n", + "ax2 = fig.add_subplot(122)\n", + "\n", + "# Plot the vectorial map (omit the z-component) of the interpolated gradient\n", + "ax1.quiver(points[:, 0], points[:, 1], grad_rho_iner[:, 0], grad_rho_iner[:, 1])\n", + "# Adjust the limits to fit your data and set labels and title\n", + "ax1.set_xlim((-3, 3))\n", + "ax1.set_ylim((-3, 3))\n", + "ax1.set_xlabel(\"X\")\n", + "ax1.set_ylabel(\"Y\")\n", + "ax1.set_title(\"Interpolated Gradient\")\n", + "\n", + "\n", + "# Plot the vectorial map (omit the z-component) of the analytical gradient\n", + "ax2.quiver(points[:, 0], points[:, 1], rho_grad[:, 0], rho_grad[:, 1])\n", + "# Adjust the limits to fit your data and set labels and title\n", + "ax2.set_xlim((-3, 3))\n", + "ax2.set_ylim((-3, 3))\n", + "ax2.set_xlabel(\"X\")\n", + "ax2.set_ylabel(\"Y\")\n", + "ax2.set_title(\"Analytical Gradient\")\n", + "\n", + "plt.show()" + ] + } + ], + "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": "3.14.6" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/examples/Halton_Grid_final.ipynb b/examples/Halton_Grid_final.ipynb new file mode 100644 index 00000000..c0b92b5f --- /dev/null +++ b/examples/Halton_Grid_final.ipynb @@ -0,0 +1,369 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "[![Open In Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/theochem/grid/blob/master/examples/Quickstart.ipynb)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "source": [ + "# Halton Grid\n", + "\n", + "This notebook demonstrates the use of the Halton low-discrepancy sequence\n", + "for numerical integration over a three-dimensional cubic domain.\n", + "\n", + "The Halton sequence generates deterministic points in the unit cube\n", + "$[0, 1]^3$ using radical-inverse constructions based on successive prime\n", + "numbers.\n", + "\n", + "## Constructing a Halton Grid" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Imports successful\n", + "Number of points: 1000\n", + "Point shape: (1000, 3)\n", + "Weight shape: (1000,)\n", + "Sum of weights: 1.0000000000000004\n", + "\n", + "Integration test\n", + "Halton estimate: 0.9958200624208295\n", + "Exact value: 1.0\n", + "Absolute error: 0.004179937579170456\n", + "\n", + "Dimension tests\n", + "1D: (1000, 1)\n", + "2D: (1000, 2)\n", + "3D: (1000, 3)\n", + "5D: (1000, 5)\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Mapped grid\n", + "Minimum: [-3. -3. -3.]\n", + "Maximum: [2.99963379 2.99969517 2.999616 ]\n", + "Total volume: 216.00000000000006\n", + "\n", + "H2+ model\n", + "Atomic coordinates:\n", + "[[ 0. -1. 0.]\n", + " [ 0. 1. 0.]]\n", + "Internuclear distance: 2.0\n", + "\n", + "Overlap\n", + "Analytical: 0.5864528940253216\n", + "Numerical: 0.5624658582204711\n", + "\n", + "Normalization\n", + "N: 0.5613987115061903\n", + "Density integral: 0.9559244321182763\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "===================================\n", + "ALL SANITY CHECKS PASSED\n", + "Notebook completed successfully.\n", + "===================================\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from grid import Halton\n", + "\n", + "print(\"Imports successful\")\n", + "\n", + "# ============================================================\n", + "# 1. Halton grid\n", + "# ============================================================\n", + "\n", + "grid = Halton(1000, 3)\n", + "\n", + "print(\"Number of points:\", grid.size)\n", + "print(\"Point shape:\", grid.points.shape)\n", + "print(\"Weight shape:\", grid.weights.shape)\n", + "print(\"Sum of weights:\", grid.weights.sum())\n", + "\n", + "# ============================================================\n", + "# 2. Integration test\n", + "# Integral of x^2 + y^2 + z^2 over [0,1]^3 = 1\n", + "# ============================================================\n", + "\n", + "values = np.sum(grid.points**2, axis=1)\n", + "\n", + "estimate = grid.integrate(values)\n", + "\n", + "print(\"\\nIntegration test\")\n", + "print(\"Halton estimate:\", estimate)\n", + "print(\"Exact value:\", 1.0)\n", + "print(\"Absolute error:\", abs(estimate - 1.0))\n", + "\n", + "# ============================================================\n", + "# 3. Different dimensions\n", + "# ============================================================\n", + "\n", + "print(\"\\nDimension tests\")\n", + "\n", + "for ndim in (1, 2, 3, 5):\n", + " grid_nd = Halton(1000, ndim)\n", + " print(f\"{ndim}D:\", grid_nd.points.shape)\n", + "\n", + "# ============================================================\n", + "# 4. Plot Halton points\n", + "# ============================================================\n", + "\n", + "grid_3d = Halton(1000, 3)\n", + "\n", + "fig = plt.figure(figsize=(7, 6))\n", + "ax = fig.add_subplot(projection=\"3d\")\n", + "\n", + "ax.scatter(\n", + " grid_3d.points[:, 0],\n", + " grid_3d.points[:, 1],\n", + " grid_3d.points[:, 2],\n", + " s=4,\n", + ")\n", + "\n", + "ax.set_xlabel(\"x\")\n", + "ax.set_ylabel(\"y\")\n", + "ax.set_zlabel(\"z\")\n", + "ax.set_title(\"3D Halton Grid\")\n", + "\n", + "plt.show()\n", + "\n", + "# ============================================================\n", + "# 5. Map grid from [0,1]^3 to [-3,3]^3\n", + "# ============================================================\n", + "\n", + "unit_grid = Halton(20000, 3)\n", + "\n", + "points = 2.0 * unit_grid.points - 1.0\n", + "points *= 3.0\n", + "\n", + "weights = unit_grid.weights * 6.0**3\n", + "\n", + "print(\"\\nMapped grid\")\n", + "print(\"Minimum:\", points.min(axis=0))\n", + "print(\"Maximum:\", points.max(axis=0))\n", + "print(\"Total volume:\", weights.sum())\n", + "\n", + "# ============================================================\n", + "# 6. H2+ two-centre orbital\n", + "# ============================================================\n", + "\n", + "atcoords = np.array([\n", + " [0.0, -1.0, 0.0],\n", + " [0.0, 1.0, 0.0],\n", + "])\n", + "\n", + "R = np.linalg.norm(atcoords[0] - atcoords[1])\n", + "\n", + "print(\"\\nH2+ model\")\n", + "print(\"Atomic coordinates:\")\n", + "print(atcoords)\n", + "print(\"Internuclear distance:\", R)\n", + "\n", + "# 1s orbitals\n", + "s1_a_vals = np.sqrt(1.0 / np.pi) * np.exp(\n", + " -np.linalg.norm(points - atcoords[0], axis=1)\n", + ")\n", + "\n", + "s1_b_vals = np.sqrt(1.0 / np.pi) * np.exp(\n", + " -np.linalg.norm(points - atcoords[1], axis=1)\n", + ")\n", + "\n", + "# ============================================================\n", + "# 7. Overlap\n", + "# ============================================================\n", + "\n", + "S_ab = (\n", + " 1.0\n", + " + R\n", + " + R**2 / 3.0\n", + ") * np.exp(-R)\n", + "\n", + "S_ab_num = np.sum(\n", + " weights * s1_a_vals * s1_b_vals\n", + ")\n", + "\n", + "print(\"\\nOverlap\")\n", + "print(\"Analytical:\", S_ab)\n", + "print(\"Numerical:\", S_ab_num)\n", + "\n", + "# ============================================================\n", + "# 8. Normalization\n", + "# ============================================================\n", + "\n", + "N = 1.0 / np.sqrt(2.0 + 2.0 * S_ab)\n", + "\n", + "psi_vals = N * (s1_a_vals + s1_b_vals)\n", + "\n", + "density = psi_vals**2\n", + "\n", + "density_integral = np.sum(weights * density)\n", + "\n", + "print(\"\\nNormalization\")\n", + "print(\"N:\", N)\n", + "print(\"Density integral:\", density_integral)\n", + "\n", + "# ============================================================\n", + "# 9. xy-plane electron density\n", + "# ============================================================\n", + "\n", + "x = np.linspace(-3.0, 3.0, 100)\n", + "y = np.linspace(-3.0, 3.0, 100)\n", + "\n", + "x_grid, y_grid = np.meshgrid(x, y)\n", + "\n", + "plane_points = np.column_stack([\n", + " x_grid.ravel(),\n", + " y_grid.ravel(),\n", + " np.zeros(x_grid.size),\n", + "])\n", + "\n", + "s1_a_plane = np.sqrt(1.0 / np.pi) * np.exp(\n", + " -np.linalg.norm(\n", + " plane_points - atcoords[0],\n", + " axis=1\n", + " )\n", + ")\n", + "\n", + "s1_b_plane = np.sqrt(1.0 / np.pi) * np.exp(\n", + " -np.linalg.norm(\n", + " plane_points - atcoords[1],\n", + " axis=1\n", + " )\n", + ")\n", + "\n", + "psi_plane = N * (\n", + " s1_a_plane + s1_b_plane\n", + ")\n", + "\n", + "rho_plane = (\n", + " psi_plane**2\n", + ").reshape(x_grid.shape)\n", + "\n", + "# ============================================================\n", + "# 10. Plot electron density\n", + "# ============================================================\n", + "\n", + "fig, ax = plt.subplots(figsize=(7, 5))\n", + "\n", + "contour = ax.contourf(\n", + " x_grid,\n", + " y_grid,\n", + " rho_plane,\n", + " levels=30,\n", + ")\n", + "\n", + "ax.scatter(\n", + " atcoords[:, 0],\n", + " atcoords[:, 1],\n", + " s=60,\n", + ")\n", + "\n", + "ax.set_xlabel(\"x\")\n", + "ax.set_ylabel(\"y\")\n", + "ax.set_title(\"H2+ Electron Density\")\n", + "\n", + "fig.colorbar(\n", + " contour,\n", + " ax=ax,\n", + " label=\"Electron density\",\n", + ")\n", + "\n", + "plt.show()\n", + "\n", + "# ============================================================\n", + "# FINAL CHECKS\n", + "# ============================================================\n", + "\n", + "assert grid.points.shape == (1000, 3)\n", + "assert grid.weights.shape == (1000,)\n", + "assert atcoords.shape == (2, 3)\n", + "assert np.isfinite(estimate)\n", + "assert np.isfinite(S_ab_num)\n", + "assert np.isfinite(density_integral)\n", + "\n", + "print(\"\\n===================================\")\n", + "print(\"ALL SANITY CHECKS PASSED\")\n", + "print(\"Notebook completed successfully.\")\n", + "print(\"===================================\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "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": "3.14.6" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/src/grid/__init__.py b/src/grid/__init__.py index 952e79a9..8af7421b 100644 --- a/src/grid/__init__.py +++ b/src/grid/__init__.py @@ -37,3 +37,5 @@ from grid.ngrid import * from grid.coulomb import * from grid.robust_poisson import * +from grid.halton import * + diff --git a/src/grid/halton.py b/src/grid/halton.py new file mode 100644 index 00000000..2a83f1e4 --- /dev/null +++ b/src/grid/halton.py @@ -0,0 +1,131 @@ +# GRID is a numerical integration module for quantum chemistry. +# +# Copyright (C) 2011-2019 The GRID Development Team +# +# This file is part of GRID. +# +# GRID is free software; you can redistribute it and/or +# modify it under the terms of the GNU General Public License +# as published by the Free Software Foundation; either version 3 +# of the License, or (at your option) any later version. +# +# GRID is distributed in the hope that it will be useful, +# but WITHOUT ANY WARRANTY; without even the implied warranty of +# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +# GNU General Public License for more details. +# +# You should have received a copy of the GNU General Public License +# along with this program; if not, see +# -- +"""Halton low-discrepancy sequence grids.""" + +import numpy as np +from scipy.stats import qmc + +from grid.basegrid import Grid + + +class Halton(Grid): + """Generate a multidimensional Halton low-discrepancy sequence.""" + + name = "Halton" + + def __init__( + self, + n_points: int, + dimension: int, + origin=None, + axes=None, + scramble=False, + seed=None, + ): + """Generate ``n_points`` points in ``dimension`` dimensions. + + Parameters + ---------- + n_points : int + Number of points. + dimension : int + Number of dimensions. + origin : np.ndarray, optional + Origin of the parallelepiped. + axes : np.ndarray, optional + Axes defining the parallelepiped. + scramble : bool, optional + Whether to scramble the Halton sequence. + seed : int or numpy.random.Generator, optional + Random seed or generator used for scrambling. + """ + if not isinstance(n_points, (int, np.integer)) or n_points < 1: + raise ValueError( + f"Argument n_points must be a positive integer, given {n_points}" + ) + + if not isinstance(dimension, (int, np.integer)) or dimension < 1: + raise ValueError( + f"Argument dimension must be a positive integer, given {dimension}" + ) + + self._n_points = int(n_points) + self._dimension = int(dimension) + + if origin is None: + origin = np.zeros(self._dimension) + else: + origin = np.asarray(origin, dtype=float) + + if axes is None: + axes = np.eye(self._dimension) + else: + axes = np.asarray(axes, dtype=float) + + if origin.shape != (self._dimension,): + raise ValueError( + f"Argument origin should have shape ({self._dimension},), " + f"given {origin.shape}" + ) + + if axes.shape != (self._dimension, self._dimension): + raise ValueError( + f"Argument axes should have shape " + f"({self._dimension}, {self._dimension}), given {axes.shape}" + ) + + sampler = qmc.Halton( + d=self._dimension, + scramble=scramble, + seed=seed, + ) + points = sampler.random(n=self._n_points) + + # Map unit-cube points onto the parallelepiped. + points = origin + points @ axes.T + + weights = np.full(self._n_points, 1.0 / self._n_points) + + super().__init__(points, weights) + + @property + def n_points(self): + """int: Number of points in the Halton design.""" + return self._n_points + + @property + def dimension(self): + """int: Dimension of the Halton grid.""" + return self._dimension + + def __getitem__(self, index): + """Return a selected subset of the Halton grid.""" + if isinstance(index, (int, np.integer)): + points = np.array([self.points[index]]) + weights = np.array([self.weights[index]]) + else: + points = np.array(self.points[index]) + weights = np.array(self.weights[index]) + + new_grid = object.__new__(Halton) + new_grid._n_points = len(points) + new_grid._dimension = self._dimension + Grid.__init__(new_grid, points, weights) + return new_grid \ No newline at end of file diff --git a/src/grid/tests/test_halton.py b/src/grid/tests/test_halton.py new file mode 100644 index 00000000..07b9c453 --- /dev/null +++ b/src/grid/tests/test_halton.py @@ -0,0 +1,154 @@ +# GRID is a numerical integration module for quantum chemistry. +# +# Copyright (C) 2011-2019 The GRID Development Team +# +# This file is part of GRID. +# +# GRID is free software; you can redistribute it and/or +# modify it under the terms of the GNU General Public License +# as published by the Free Software Foundation; either version 3 +# of the License, or (at your option) any later version. +# +# GRID is distributed in the hope that it will be useful, +# but WITHOUT ANY WARRANTY; without even the implied warranty of +# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +# GNU General Public License for more details. +# +# You should have received a copy of the GNU General Public License +# along with this program; if not, see +# -- +"""Tests for Halton grids.""" + +import numpy as np +from numpy.testing import assert_allclose + +from grid.halton import Halton + + +def test_halton_points(): + """Test the first points of a 2D Halton sequence.""" + grid = Halton(n_points=5, dimension=2) + + expected = np.array( + [ + [0.0, 0.0], + [0.5, 1 / 3], + [0.25, 2 / 3], + [0.75, 1 / 9], + [0.125, 4 / 9], + ] + ) + + assert_allclose(grid.points, expected) + + +def test_halton_weights(): + """Test uniform integration weights.""" + grid = Halton(n_points=5, dimension=2) + + assert_allclose(grid.weights, np.full(5, 0.2)) + + +def test_halton_shape(): + """Test the shape of points and weights.""" + grid = Halton(n_points=10, dimension=3) + + assert grid.points.shape == (10, 3) + assert grid.weights.shape == (10,) + + +def test_halton_properties(): + """Test read-only constructor properties.""" + grid = Halton(n_points=10, dimension=3) + + assert grid.n_points == 10 + assert grid.dimension == 3 + + +def test_halton_indexing(): + """Test indexing and slicing.""" + grid = Halton(n_points=10, dimension=2) + + single = grid[3] + subset = grid[2:5] + + assert single.points.shape == (1, 2) + assert single.weights.shape == (1,) + assert subset.points.shape == (3, 2) + assert subset.weights.shape == (3,) + + +def test_halton_origin_and_axes(): + """Test mapping points onto a parallelepiped.""" + origin = np.array([1.0, 2.0]) + axes = np.array([[2.0, 0.0], [0.0, 3.0]]) + + grid = Halton( + n_points=5, + dimension=2, + origin=origin, + axes=axes, + ) + + expected = origin + np.array( + [ + [0.0, 0.0], + [0.5, 1 / 3], + [0.25, 2 / 3], + [0.75, 1 / 9], + [0.125, 4 / 9], + ] + ) @ axes.T + + assert_allclose(grid.points, expected) + + +def test_halton_scrambling(): + """Test reproducibility of scrambled Halton sequences.""" + grid1 = Halton( + n_points=10, + dimension=2, + scramble=True, + seed=42, + ) + grid2 = Halton( + n_points=10, + dimension=2, + scramble=True, + seed=42, + ) + + assert_allclose(grid1.points, grid2.points) + + +def test_halton_invalid_arguments(): + """Test invalid Halton arguments.""" + for n_points in [0, -1]: + try: + Halton(n_points=n_points, dimension=2) + except ValueError: + pass + else: + raise AssertionError("Expected ValueError") + + for dimension in [0, -1]: + try: + Halton(n_points=5, dimension=dimension) + except ValueError: + pass + else: + raise AssertionError("Expected ValueError") + + try: + Halton(n_points=5, dimension=2, origin=np.zeros(3)) + except ValueError: + pass + else: + raise AssertionError("Expected ValueError") + + try: + Halton(n_points=5, dimension=2, axes=np.eye(3)) + except ValueError: + pass + else: + raise AssertionError("Expected ValueError") \ No newline at end of file