{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import math\n", "import numpy as np\n", "import torch\n", "\n", "from torch_harmonics.quadrature import legendre_gauss_weights, clenshaw_curtiss_weights\n", "from torch_harmonics.legendre import legpoly, clm\n", "from torch_harmonics import RealSHT, InverseRealSHT\n", "\n", "import matplotlib.pyplot as plt\n", "\n", "from plotting import plot_sphere" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "tensor(12.5664)" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nlat = 32\n", "nlon = 2*nlat\n", "grid = \"legendre-gauss\"\n", "\n", "# for quadrature and plotting\n", "if grid == \"legendre-gauss\":\n", " lmax = mmax = nlat\n", " xq, wq = legendre_gauss_weights(nlat)\n", "elif grid ==\"equiangular\":\n", " lmax = mmax = nlat//2-1\n", " xq, wq = clenshaw_curtiss_weights(nlat)\n", "\n", "sht = RealSHT(nlat, nlon, lmax=lmax, mmax=mmax, grid=grid)\n", "isht = InverseRealSHT(nlat, nlon, lmax=lmax, mmax=mmax, grid=grid)\n", "\n", "lat = np.arccos(xq)\n", "omega = torch.pi * torch.from_numpy(wq).float() / nlat\n", "omega = omega.reshape(-1, 1).repeat(1, nlon)\n", "\n", "omega.sum()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# forming the Vandermonde matrix\n", "nmodes = int(lmax * (lmax+1) / 2)\n", "e = torch.zeros(nmodes, lmax, mmax, dtype=torch.complex64)\n", "\n", "midx = lambda l,m : l*(l+1)//2 + m\n", "\n", "for l in range(lmax):\n", " for m in range(l+1):\n", " e[midx(l,m), l, m] = 1.0\n", "\n", "vdm = isht(e) # nmodes x nlat x nlon" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "let us visualize the some entries in the Vandermonde matrix. In principle, it should contain the Spherical Harmonics in ascending order:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt_lmax = 6\n", "\n", "fig = plt.figure(layout='constrained', figsize=(12, 8))\n", "subfigs = fig.subfigures(plt_lmax, plt_lmax)\n", "\n", "for l in range(plt_lmax):\n", " for m in range(l+1):\n", " plot_sphere(vdm[midx(l,m)], fig=subfigs[l, m], title=f\"l={l}, m={m}\", lat=(lat - np.pi/2))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "now, let us compute the gramian matrix $S^T \\mathop{\\mathrm{diag}}(\\omega) S$:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "gramian = torch.einsum(\"iqr,jqr,qr->ij\", vdm, vdm, omega)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "# plt.pcolormesh(xlg, np.arange(0, nmodes), , cmap=\"plasma\")\n", "# plt.xlabel(\"x\")\n", "# plt.ylabel(\"l,m mode\")\n", "# plt.colorbar()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.imshow(gramian, interpolation=\"nearest\", cmap=\"plasma\")\n", "plt.colorbar()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "tensor(2.0000)\n", "tensor(23276)\n", "tensor(-1.2321e-06)\n", "tensor(198430)\n" ] } ], "source": [ "print(torch.max(gramian))\n", "print(torch.argmax(gramian))\n", "print(torch.min(gramian))\n", "print(torch.argmin(gramian))" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2.0000079" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.linalg.cond(gramian)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(np.diag(gramian))" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "# forming the Vandermonde matrix\n", "nmodes = int(lmax * (lmax+1) / 2)\n", "\n", "\n", "e = torch.zeros(lmax, mmax, lmax, mmax, dtype=torch.complex64)\n", "for l in range(lmax):\n", " for m in range(l+1):\n", " e[l, m, l, m] = 1.0\n", "\n", "Sinv = isht(e).cfloat() # l x m x nlat x nlon\n", "\n", "e = torch.zeros(nlat, nlon, nlat, nlon, dtype=torch.float32)\n", "for lat in range(nlat):\n", " for lon in range(nlon):\n", " e[lat, lon, lat, lon] = 1.0\n", "\n", "S = sht(e) # nlat x nlon x l x m" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "out = torch.einsum(\"lmop,lmqr->lopqr\", Sinv, Sinv.conj())" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 50, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_sphere(out[3, 29, 16].abs(), colorbar=True)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "SS = torch.einsum(\"lmqr, oplm->qrop\", Sinv, S)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.imshow(SS.reshape(nlat*nlon, nlat*nlon).abs(), interpolation=\"nearest\", cmap=\"plasma\")\n", "plt.colorbar()\n" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.imshow(SS[:,0,:,0].abs(), interpolation=\"nearest\", cmap=\"plasma\")\n", "plt.colorbar()" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "field = torch.zeros(nlat, nlon)\n", "field[16,3] = 1.0\n", "\n", "plot_sphere(field, colorbar=True)\n", "plot_sphere(isht(sht(field)), colorbar=True)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.10.12" } }, "nbformat": 4, "nbformat_minor": 2 }