From ecb9e2b1897251f7cece4585bc2f24de081a0401 Mon Sep 17 00:00:00 2001 From: CMacM Date: Thu, 28 May 2026 17:34:01 +0100 Subject: [PATCH 1/9] Re-factor simulation code to implement GPU processing and block integration for pre-FFT anti-aliasing --- .gitignore | 3 + conda/recipe/meta.yaml | 24 +- notebooks/dev/charlie.png | Bin 0 -> 43103 bytes notebooks/dev/cpu-only-render.ipynb | 249 +++++ notebooks/dev/cupy-test-rendering.ipynb | 980 ++++++++++++++++++++ pyproject.toml | 8 +- requirements.txt | 11 +- setup.py | 159 ++-- src/batsim/.nfs00000000749b680f00000c6e | Bin 0 -> 254552 bytes src/batsim/__init__.py | 8 +- src/batsim/_gsinterface.cpp | 250 ++--- src/batsim/sim.py | 1116 ++++++++++++++++++----- src/batsim/stamp.py | 121 ++- src/batsim/transforms.py | 238 ++++- src/batsim_install_gpu.py | 157 ++++ 15 files changed, 2831 insertions(+), 493 deletions(-) create mode 100644 notebooks/dev/charlie.png create mode 100644 notebooks/dev/cpu-only-render.ipynb create mode 100644 notebooks/dev/cupy-test-rendering.ipynb create mode 100755 src/batsim/.nfs00000000749b680f00000c6e create mode 100644 src/batsim_install_gpu.py diff --git a/.gitignore b/.gitignore index e1c2577..5008f39 100644 --- a/.gitignore +++ b/.gitignore @@ -145,3 +145,6 @@ tmp/ _results/ _html/ .hypothesis + +# Dev files +*.fits \ No newline at end of file diff --git a/conda/recipe/meta.yaml b/conda/recipe/meta.yaml index d8a6a4f..ad26e6a 100644 --- a/conda/recipe/meta.yaml +++ b/conda/recipe/meta.yaml @@ -14,36 +14,30 @@ build: # skip: true # [not linux] # uncomment if you want linux-only builds requirements: - # Do not request conda-forge compiler toolchain packages on this cluster - # (they are unavailable, and the solve fails). Use system gcc/g++ instead. build: [] host: - - python + - python >=3.10,<3.13 - pip - setuptools - wheel - - numpy - - pybind11 - - galsim + - pybind11 >=3,<4 - eigen + - numpy >=1.26,<2.0 + - galsim - fitsio run: - - python - - numpy - - pybind11 + - python >=3.10,<3.13 + - numpy >=1.26,<2.0 - galsim - - eigen - fitsio - - matplotlib - - astropy + - matplotlib >=3.8,<3.9 + - astropy >=6.0,<6.1 test: - commands: - - test -d "$PREFIX/include/eigen3/Eigen" imports: - batsim - batsim._gsinterface about: license: MIT - summary: "BATSim package (links against GalSim C++ library)" \ No newline at end of file + summary: "BATSim package with GalSim C++ sampling and optional CuPy GPU support" diff --git a/notebooks/dev/charlie.png b/notebooks/dev/charlie.png new file mode 100644 index 0000000000000000000000000000000000000000..52cc6a463172429e8a6727eb3e1f75cb79707f20 GIT binary patch literal 43103 zcmeFZXH-_%wk`UprIrCL10X0+Dh5D7lq3>NsAME(R77&lSxZF)6-5vUf*?7IwC-jk6!Pqm(YJ%vJ{ 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mode 100644 index 0000000..c1b765e --- /dev/null +++ b/notebooks/dev/cpu-only-render.ipynb @@ -0,0 +1,249 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "5fc7a3a3", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Draw + FFT time: 23.5488 seconds\n", + "Conv time: 28.1799 seconds\n", + "GalSim draw time: 0.0160 seconds\n", + "Mode: with pixel\n", + "PSF method: real-space FFT\n", + "Supersample: 256\n", + "GalSim flux: 0.99896991\n", + "FFT flux: 0.99897554\n", + "Max abs residual: 3.134e-06\n", + "Max abs residual as % of max flux: 0.008%\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import galsim\n", + "import numpy as np\n", + "from time import time\n", + "import matplotlib.pyplot as plt\n", + "\n", + "use_pixel = True # Whether to include the pixel response\n", + "kpsf = False # Whether to draw the PSF directly in k-space\n", + "supersample = 256 # Super-sample grid size for direct FFT approach\n", + "pad = 16 # Extra padding around image to ignore distant flux from FFTs\n", + "scale = 0.2 # Pixel scale of the output image\n", + "\n", + "# Construct psf and galaxy profiles\n", + "psf = galsim.Moffat(beta=3.5, fwhm=0.7)\n", + "gal = galsim.Sersic(n=2, half_light_radius=0.2, flux=1).shear(g1=0.02)\n", + "objs = [gal, psf]\n", + "conv_gal = galsim.Convolve(objs)\n", + "\n", + "# Determine image size\n", + "# Use the convolved profile's own good image size rather than the pre-convolution galaxy size.\n", + "size = conv_gal.getGoodImageSize(scale)\n", + "fft_size = size + 2*pad\n", + "fine_scale = scale / supersample\n", + "fine_fft_size = fft_size * supersample\n", + "dk = 2 * np.pi / (fine_fft_size * fine_scale)\n", + "\n", + "start = time()\n", + "# Draw the galaxy without pixel convolution.\n", + "gal_im = gal.drawImage(nx=fine_fft_size, ny=fine_fft_size, scale=fine_scale,\n", + " method=\"no_pixel\", use_true_center=False).array\n", + "gal_fft = galsim.fft.fft2(gal_im, shift_in=True, shift_out=True)\n", + "\n", + "# Draw the PSF either directly in k-space or in real space and then fft.\n", + "if kpsf:\n", + " psf_fft = psf.drawKImage(nx=fine_fft_size, ny=fine_fft_size, scale=dk).array\n", + "else:\n", + " psf_im = psf.drawImage(nx=fine_fft_size, ny=fine_fft_size, scale=fine_scale,\n", + " method=\"no_pixel\", use_true_center=False).array\n", + " psf_fft = galsim.fft.fft2(psf_im, shift_in=True, shift_out=True)\n", + "\n", + "# Draw the pixel if requested.\n", + "if use_pixel:\n", + " # Draw the pixel directly in Fourier space, rather than use fft2.\n", + " # The direct fft doesn't work especially well with only a single non-zero pixel.\n", + " # (Nor even when supersampling to sxs pixels.)\n", + " pix_fft = galsim.Pixel(scale).drawKImage(nx=fine_fft_size, ny=fine_fft_size, scale=dk).array\n", + "end = time()\n", + "print(f\"Draw + FFT time: {end - start:.4f} seconds\")\n", + "\n", + "start = time()\n", + "# Convolve and IFFT\n", + "bat_conv_fft = gal_fft * psf_fft\n", + "if use_pixel:\n", + " bat_conv_fft *= pix_fft\n", + "bat_conv_im = galsim.fft.ifft2(bat_conv_fft, shift_in=True, shift_out=True).real\n", + "\n", + "# Recover the coarse-grid image by taking the matching fine-grid sample phase and multiplying by\n", + "# the area ratio.\n", + "if supersample > 1:\n", + " bat_conv_im = (supersample**2) * bat_conv_im[::supersample, ::supersample]\n", + "end = time()\n", + "print(f\"Conv time: {end - start:.4f} seconds\")\n", + "\n", + "start = time()\n", + "# Draw a padded GalSim image too\n", + "draw_method = \"auto\" if use_pixel else \"no_pixel\"\n", + "gal_conv_im = conv_gal.drawImage(\n", + " nx=fft_size, ny=fft_size, scale=scale, method=draw_method, use_true_center=False\n", + ").array\n", + "end = time()\n", + "print(f\"GalSim draw time: {end - start:.4f} seconds\")\n", + "\n", + "# Crop both images to the same central region before computing the residual.\n", + "gal_conv_im = gal_conv_im[pad:pad+size, pad:pad+size]\n", + "bat_conv_im = bat_conv_im[pad:pad+size, pad:pad+size]\n", + "residual = gal_conv_im - bat_conv_im\n", + "print(f\"Mode: {'with pixel' if use_pixel else 'no pixel'}\")\n", + "print(f\"PSF method: {'k-space' if kpsf else 'real-space FFT'}\")\n", + "print(f\"Supersample: {supersample}\")\n", + "print(f\"GalSim flux: {gal_conv_im.sum():.8f}\")\n", + "print(f\"FFT flux: {bat_conv_im.sum():.8f}\")\n", + "print(f\"Max abs residual: {abs(residual).max():.3e}\")\n", + "\n", + "perc_residual = 100 * abs(residual).max() / gal_conv_im.max()\n", + "print(f\"Max abs residual as % of max flux: {perc_residual:.3f}%\")\n", + "\n", + "# Plot\n", + "plt.subplots(1, 3, figsize=(15, 5))\n", + "plt.subplot(1, 3, 1)\n", + "plt.imshow(gal_conv_im, origin='lower', cmap='gray')\n", + "plt.colorbar()\n", + "plt.title(\"GalSim Convolution\")\n", + "plt.subplot(1, 3, 2)\n", + "plt.imshow(bat_conv_im, origin='lower', cmap='gray')\n", + "plt.colorbar()\n", + "plt.title(\"Direct FFT Convolution\")\n", + "plt.subplot(1, 3, 3)\n", + "plt.imshow(residual, origin='lower', cmap='gray')\n", + "plt.colorbar()\n", + "plt.title(\"Residual (Galsim - BATSim)\")\n", + "plt.savefig('charlie.png')" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "4026dcf9", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "galsim.Shear(g1=0.004824522485723136,g2=-4.795381291994292e-14)\n", + "galsim.Shear(g1=0.004824534593762056,g2=-4.8053450036177683e-14)\n", + "Percentage difference in g1: 0.00%\n" + ] + } + ], + "source": [ + "# Measure shear using adaptive moments on both images\n", + "psf_final_im = psf.drawImage(\n", + " nx=fft_size, ny=fft_size, scale=scale, method=draw_method, use_true_center=False\n", + ").array\n", + "psf_final_im = psf_final_im[pad:pad+size, pad:pad+size]\n", + "\n", + "# create galsim images from all arrays\n", + "psf_final_im = galsim.Image(psf_final_im, scale=scale)\n", + "bat_conv_im = galsim.Image(bat_conv_im, scale=scale)\n", + "gal_conv_im = galsim.Image(gal_conv_im, scale=scale)\n", + "\n", + "manual_result = galsim.hsm.EstimateShear(bat_conv_im, psf_final_im)\n", + "print(manual_result.observed_shape)\n", + "\n", + "galsim_result = galsim.hsm.EstimateShear(gal_conv_im, psf_final_im)\n", + "print(galsim_result.observed_shape)\n", + "\n", + "manual_g1 = manual_result.observed_shape.g1\n", + "galsim_g1 = galsim_result.observed_shape.g1\n", + "\n", + "perc_diff_g1 = 100 * abs(manual_g1 - galsim_g1) / abs(galsim_g1)\n", + "print(f\"Percentage difference in g1: {perc_diff_g1:.2f}%\")" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "48599ae6", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "galsim.Shear(g1=0.02698008192948362,g2=-4.3253633125057155e-12)\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "galaxy = galsim.Sersic(n=1, half_light_radius=0.5, flux=1).shear(g1=0.05)\n", + "psf = galsim.Moffat(beta=3.5, fwhm=0.7)\n", + "final = galsim.Convolve(galaxy, psf)\n", + "final_image = final.drawImage(scale=0.2, use_true_center=False)\n", + "final_epsf_image = psf.drawImage(scale=0.2, use_true_center=False)\n", + "result = galsim.hsm.EstimateShear(final_image, final_epsf_image)\n", + "\n", + "print(result.observed_shape)\n", + "\n", + "plt.imshow(final_image.array, origin='lower', cmap='gray')" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "batsim-gpu", + "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": "3.10.20" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/notebooks/dev/cupy-test-rendering.ipynb b/notebooks/dev/cupy-test-rendering.ipynb new file mode 100644 index 0000000..fadcdb5 --- /dev/null +++ b/notebooks/dev/cupy-test-rendering.ipynb @@ -0,0 +1,980 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "ab8a2471", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "True\n" + ] + } + ], + "source": [ + "import galsim\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import cupy as cp\n", + "import batsim\n", + "# import cupyx.scipy.fft as cp_fft\n", + "\n", + "from time import time\n", + "from tqdm import tqdm\n", + "\n", + "print(cp.cuda.is_available())" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "0aa84a48", + "metadata": {}, + "outputs": [], + "source": [ + "def fft_on_gpu(image):\n", + " # Execute the FFT on the GPU and shift the zero-frequency component to the center of the spectrum.\n", + " return cp.fft.fftshift(cp.fft.fft2(cp.fft.ifftshift(image)))\n", + "\n", + "def ifft_on_gpu(image_fft):\n", + " # Execute the inverse FFT on the GPU and shift back.\n", + " return cp.fft.fftshift(cp.fft.ifft2(cp.fft.ifftshift(image_fft)))\n", + "\n", + "def pixel_fft_gpu_shifted(n, fine_scale, pixel_scale):\n", + " kfreq = 2 * cp.pi * cp.fft.fftshift(cp.fft.fftfreq(n, d=fine_scale))\n", + " ky, kx = cp.meshgrid(kfreq, kfreq, indexing=\"ij\")\n", + "\n", + " pix_fft = cp.sinc(kx * pixel_scale / (2 * cp.pi))\n", + " pix_fft *= cp.sinc(ky * pixel_scale / (2 * cp.pi))\n", + " \n", + "\n", + " return pix_fft.astype(cp.complex64)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "bfae6101", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1792 0.0125\n", + "1212\n", + "Draw time: 0.2490 seconds\n", + "FFT time: 0.0538 seconds\n", + "Conv time: 0.0048 seconds\n", + "GalSim draw time: 0.2010 seconds\n", + "Mode: with pixel\n", + "Supersample: 16\n", + "GalSim flux: 0.99672514\n", + "FFT flux: 3.40918083\n", + "Max abs residual: 1.318e-01\n", + "Max abs residual as % of max flux: 388.262%\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "use_pixel = True # Whether to include the pixel response\n", + "supersample = 16 # Super-sample grid size for direct FFT approach\n", + "pad = 16 # Extra padding around image to ignore distant flux from FFTs\n", + "scale = 0.2 # Pixel scale of the output image\n", + "\n", + "# Construct psf and galaxy profiles\n", + "psf = galsim.Moffat(beta=3.5, fwhm=0.7)\n", + "gal = galsim.Sersic(n=5, half_light_radius=0.2, flux=1)\n", + "objs = [gal, psf]\n", + "conv_gal = galsim.Convolve(objs)\n", + "\n", + "# Determine image size\n", + "# Use the convolved profile's own good image size rather than the pre-convolution galaxy size.\n", + "size = conv_gal.getGoodImageSize(scale)\n", + "fft_size = size + 2*pad\n", + "fine_scale = scale / supersample\n", + "fine_fft_size = fft_size * supersample\n", + "print(fine_fft_size, fine_scale)\n", + "dk = 2 * np.pi / (fine_fft_size * fine_scale)\n", + "\n", + "start = time()\n", + "compact_size = gal.getGoodImageSize(fine_scale)\n", + "print(compact_size)\n", + "# gal_im = gal.drawImage(nx=compact_size, ny=compact_size, scale=fine_scale,\n", + "# method=\"no_pixel\", use_true_center=False).array\n", + "stamp = batsim.Stamp(nn=fine_fft_size, scale=fine_scale)\n", + "coords = stamp.coords\n", + "coords = cp.asnumpy(coords).astype(np.float64)\n", + "gal_im = batsim._gsinterface.getFluxVec(fine_scale, gal._sbp, coords)\n", + "\n", + "# Compute symmetric padding\n", + "# pad_total = fine_fft_size - compact_size\n", + "# pad_before = pad_total // 2\n", + "# pad_after = pad_total - pad_before\n", + "\n", + "# gal_im = np.pad(\n", + "# gal_im,\n", + "# ((pad_before, pad_after), (pad_before, pad_after)),\n", + "# mode=\"constant\",\n", + "# )\n", + "\n", + "# Draw the PSF either directly in k-space or in real space and then fft.\n", + "# psf_fft = psf.drawKImage(nx=fine_fft_size, ny=fine_fft_size, scale=dk).array\n", + "# psf_fft = cp.asarray(psf_fft)\n", + "psf_compact = psf.getGoodImageSize(fine_scale)\n", + "psf_im = psf.drawImage(nx=fine_fft_size, ny=fine_fft_size, scale=fine_scale, method=\"no_pixel\", use_true_center=False).array\n", + "\n", + "# Compute symmetric padding\n", + "# pad_total = fine_fft_size - psf_compact\n", + "# pad_before = pad_total // 2\n", + "# pad_after = pad_total - pad_before\n", + "\n", + "# psf_im = np.pad(\n", + "# psf_im,\n", + "# ((pad_before, pad_after), (pad_before, pad_after)),\n", + "# mode=\"constant\",\n", + "# )\n", + "\n", + "# Draw the pixel if requested.\n", + "if use_pixel:\n", + " # Draw the pixel directly in Fourier space, rather than use fft2.\n", + " # The direct fft doesn't work especially well with only a single non-zero pixel.\n", + " # (Nor even when supersampling to sxs pixels.)\n", + " # pix_fft = galsim.Pixel(scale).drawKImage(nx=fine_fft_size, ny=fine_fft_size, scale=dk).array\n", + " # pix_fft = cp.asarray(pix_fft)\n", + "\n", + " pix_fft = pixel_fft_gpu_shifted(\n", + " n=fine_fft_size,\n", + " fine_scale=fine_scale,\n", + " pixel_scale=scale,\n", + " )\n", + "end = time()\n", + "print(f\"Draw time: {end - start:.4f} seconds\")\n", + "\n", + "start = time()\n", + "# Send to GPU\n", + "gal_im = cp.asarray(gal_im)\n", + "psf_im = cp.asarray(psf_im)\n", + "#Execute the FFT on the GPU and shift the zero-frequency component to the center of the spectrum.\n", + "gal_fft = fft_on_gpu(gal_im)\n", + "psf_fft = fft_on_gpu(psf_im)\n", + "end = time()\n", + "print(f\"FFT time: {end - start:.4f} seconds\")\n", + "\n", + "start = time()\n", + "# Convolve and IFFT\n", + "bat_conv_fft = gal_fft * psf_fft\n", + "if use_pixel:\n", + " bat_conv_fft *= pix_fft\n", + "bat_conv_im = ifft_on_gpu(bat_conv_fft)\n", + "\n", + "# Recover the coarse-grid image by taking the matching fine-grid sample phase and multiplying by\n", + "# the area ratio.\n", + "if supersample > 1:\n", + " bat_conv_im = (supersample**2) * bat_conv_im[::supersample, ::supersample]\n", + "end = time()\n", + "print(f\"Conv time: {end - start:.4f} seconds\")\n", + "\n", + "start = time()\n", + "# Draw a padded GalSim image too\n", + "draw_method = \"auto\" if use_pixel else \"no_pixel\"\n", + "gal_conv_im = conv_gal.drawImage(\n", + " nx=fft_size, ny=fft_size, scale=scale, method=draw_method, use_true_center=False\n", + ").array\n", + "end = time()\n", + "print(f\"GalSim draw time: {end - start:.4f} seconds\")\n", + "\n", + "# Crop both images to the same central region before computing the residual.\n", + "gal_conv_im = gal_conv_im[pad:pad+size, pad:pad+size]\n", + "bat_conv_im = bat_conv_im[pad:pad+size, pad:pad+size]\n", + "\n", + "# Move back to CPU for comparison and plotting.\n", + "bat_conv_im = cp.asnumpy(bat_conv_im).real\n", + "\n", + "# clean up GPU memory\n", + "cp._default_memory_pool.free_all_blocks()\n", + "cp._default_pinned_memory_pool.free_all_blocks()\n", + "\n", + "residual = gal_conv_im - bat_conv_im\n", + "print(f\"Mode: {'with pixel' if use_pixel else 'no pixel'}\")\n", + "print(f\"Supersample: {supersample}\")\n", + "print(f\"GalSim flux: {gal_conv_im.sum():.8f}\")\n", + "print(f\"FFT flux: {bat_conv_im.sum():.8f}\")\n", + "print(f\"Max abs residual: {abs(residual).max():.3e}\")\n", + "\n", + "perc_residual = 100 * abs(residual).max() / gal_conv_im.max()\n", + "print(f\"Max abs residual as % of max flux: {perc_residual:.3f}%\")\n", + "\n", + "# Plot\n", + "plt.subplots(1, 3, figsize=(15, 5))\n", + "plt.subplot(1, 3, 1)\n", + "plt.imshow(gal_conv_im, origin='lower', cmap='gray')\n", + "plt.colorbar()\n", + "plt.title(\"GalSim Convolution\")\n", + "plt.subplot(1, 3, 2)\n", + "plt.imshow(bat_conv_im, origin='lower', cmap='gray')\n", + "plt.colorbar()\n", + "plt.title(\"Direct FFT Convolution\")\n", + "plt.subplot(1, 3, 3)\n", + "plt.imshow(residual, origin='lower', cmap='gray')\n", + "plt.colorbar()\n", + "plt.title(\"Residual (Galsim - BATSim)\")\n", + "plt.savefig('charlie.png')" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "b7fff553", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "538.1658703643784\n", + "0.005837591766015747\n", + "Recommended supersampling: 8\n" + ] + } + ], + "source": [ + "def galsim_sampling_hint(obj, pixel_scale, safety=2.0,integration_order=2, attenuation_target=0.05):\n", + " \"\"\"\n", + " Estimate supersampling from GalSim's internal maxk/stepk style scale info.\n", + " \"\"\"\n", + " maxk = float(obj.maxk)\n", + " coarse_nyquist = np.pi / float(pixel_scale)\n", + "\n", + " raw = safety * maxk / coarse_nyquist\n", + "\n", + " q = max(1, int(integration_order))\n", + "\n", + " if q <= 1:\n", + " effective = raw\n", + " else:\n", + " # Block integration behaves approximately like a square/tophat\n", + " # prefilter over the FFT-grid cell. Its Fourier response is sinc-like.\n", + " #\n", + " # Rather than using a fixed empirical division, use q to define the\n", + " # strongest plausible reduction. q=2 usually permits about 4--8x less\n", + " # effective supersampling in your tests, so q^2 is a reasonable base.\n", + " #\n", + " # attenuation_target lets you tune how much high-k leakage you tolerate.\n", + " integration_reduction = q ** 2 / attenuation_target**0.5\n", + "\n", + " # Avoid absurd reductions for high q.\n", + " integration_reduction = min(integration_reduction, 8.0 * q)\n", + "\n", + " effective = raw / integration_reduction\n", + "\n", + " # Do not allow the requested effective supersampling to fall below q,\n", + " # otherwise fft_supersample may collapse too aggressively.\n", + " effective = max(effective, q)\n", + "\n", + " # Round up to power of two\n", + " s_pow2 = 2 ** int(np.ceil(np.log2(max(1, effective))))\n", + "\n", + " return int(np.clip(s_pow2, 1, 1024))\n", + "\n", + "gal = galsim.Sersic(n=3, half_light_radius=0.2)\n", + "\n", + "print(gal.maxk)\n", + "print(gal.nyquist_scale)\n", + "\n", + "supersample = galsim_sampling_hint(gal, pixel_scale=scale)\n", + "print(f\"Recommended supersampling: {supersample}\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "8b08aed2", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Recommended supersampling: 2\n", + "Grid sizing: sim_ngrid=28, supersample=4, integration_order=2, fft_supersample=2, fine_ngrid=120, fine_compact=34, max_fine_grid=4096\n", + "Stamp construction took 0.000 seconds\n", + "Build coordinates and transforms took 0.000 seconds\n", + "Transfer coords to CPU took 0.000 seconds\n", + "Galaxy sampling took 0.015 seconds\n", + "Transfer galaxy profile to NumPy took 0.000 seconds\n", + "Sampling PSF spectrum took 0.005 seconds\n", + "Transfer PSF spectrum to NumPy took 0.000 seconds\n", + "FFT and convolution took 0.006 seconds\n", + "BATSim simulation time: 0.0231 seconds\n", + "GalSim draw time: 0.0047 seconds\n", + "GalSim flux: 0.99998951\n", + "BATSim flux: 1.00000000\n", + "Max abs residual: 1.875e-04\n", + "Max abs residual as % of max flux: 0.534%\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "draw_method = \"auto\"\n", + "scale = 0.2 # Pixel scale of the output image\n", + "\n", + "# Construct psf and galaxy profiles\n", + "psf = galsim.Moffat(beta=3.5, fwhm=0.7)\n", + "\n", + "cosmos = galsim.COSMOSCatalog()\n", + "\n", + "#gal = cosmos.makeGalaxy(index=29024, gal_type=\"parametric\")\n", + "gal = galsim.Sersic(n=1, half_light_radius=0.2, flux=1).shear(g1=0.2, g2=0.5)\n", + "objs = [gal.shear(g1=0.05), psf]\n", + "conv_gal = galsim.Convolve(objs)\n", + "#conv_gal = conv_gal.shift(0.5*scale, 0.5*scale)\n", + "\n", + "supersample = galsim_sampling_hint(gal, pixel_scale=scale)\n", + "print(f\"Recommended supersampling: {supersample}\")\n", + "\n", + "start = time()\n", + "LensTransform = batsim.LensTransform(\n", + " gamma1=0.05,\n", + " gamma2=0.0,\n", + " kappa=0.0,\n", + " backend=None\n", + ")\n", + "# Simulate using BATSim\n", + "bat_conv_im = batsim.simulate_galaxy(\n", + " gal_obj=gal,\n", + " scale=scale,\n", + " psf_obj=psf,\n", + " transform_obj=LensTransform,\n", + " ngrid=64,\n", + " precision=\"single\",\n", + " draw_method=draw_method,\n", + " profile=True,\n", + " pad=16,\n", + " psf_mode=\"kvalue\",\n", + " max_supersample=32,\n", + " min_supersample=4,\n", + " max_fine_grid=4096,\n", + " integration_order=2,\n", + " force_input_flux=True,\n", + " backend=\"numpy\"\n", + ")\n", + "im_size = bat_conv_im.shape\n", + "end = time()\n", + "print(f\"BATSim simulation time: {end - start:.4f} seconds\")\n", + "\n", + "start = time()\n", + "# Draw a padded GalSim image too\n", + "gal_conv_im = conv_gal.drawImage(\n", + " nx=im_size[0], ny=im_size[1], scale=scale, method=draw_method, use_true_center=False\n", + ").array\n", + "end = time()\n", + "print(f\"GalSim draw time: {end - start:.4f} seconds\")\n", + "\n", + "residual = gal_conv_im - bat_conv_im\n", + "print(f\"GalSim flux: {gal_conv_im.sum():.8f}\")\n", + "print(f\"BATSim flux: {bat_conv_im.sum():.8f}\")\n", + "print(f\"Max abs residual: {abs(residual).max():.3e}\")\n", + "\n", + "perc_residual = 100 * abs(residual).max() / gal_conv_im.max()\n", + "print(f\"Max abs residual as % of max flux: {perc_residual:.3f}%\")\n", + "\n", + "# Plot\n", + "plt.subplots(1, 3, figsize=(15, 5))\n", + "plt.subplot(1, 3, 1)\n", + "plt.imshow(gal_conv_im, origin='lower', cmap='gray')\n", + "plt.colorbar()\n", + "plt.title(\"GalSim Convolution\")\n", + "plt.subplot(1, 3, 2)\n", + "plt.imshow(bat_conv_im, origin='lower', cmap='gray')\n", + "plt.colorbar()\n", + "plt.title(\"BATSim Convolution\")\n", + "plt.subplot(1, 3, 3)\n", + "plt.imshow(residual, origin='lower', cmap='gray')\n", + "plt.colorbar()\n", + "plt.title(\"Residual (Galsim - BATSim)\")\n", + "plt.savefig('charlie.png')" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "ef3196f6", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "5.126953125" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "21000 / 4096" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "1638ddb7", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "False\n", + "2073.4323740702816\n", + "0.0015151652365795003\n" + ] + } + ], + "source": [ + "gal = cosmos.makeGalaxy(index=29024, gal_type=\"parametric\")\n", + "print(gal.is_axisymmetric)\n", + "print(gal.maxk)\n", + "print(gal.nyquist_scale)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "bd85754e", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "14.493884835704382\n" + ] + } + ], + "source": [ + "print(psf.maxk)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "91d49d8a", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "4.301843543528006\n", + "scale = 1.002208\n", + "fractional RMS residual = 0.0024678423\n", + "fractional flux residual = 0.0022185752\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "print(gal.flux)\n", + "\n", + "b = bat_conv_im\n", + "g = gal_conv_im\n", + "\n", + "a = np.sum(b * g) / np.sum(b * b)\n", + "\n", + "resid = a * b - g\n", + "\n", + "print(\"scale =\", a)\n", + "print(\"fractional RMS residual =\", np.std(resid) / np.std(g))\n", + "print(\"fractional flux residual =\", np.sum(resid) / np.sum(g))\n", + "plt.imshow(resid, cmap='gray')\n", + "plt.colorbar()" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "c28bb2c6", + "metadata": {}, + "outputs": [], + "source": [ + "# Clear GPU memory\n", + "cp._default_memory_pool.free_all_blocks()\n", + "cp._default_pinned_memory_pool.free_all_blocks()" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "8c77c5c9", + "metadata": {}, + "outputs": [ + { + "ename": "TypeError", + "evalue": "_determine_supersampling() missing 1 required positional argument: 'integration_order'", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", + "Cell \u001b[0;32mIn[11], line 4\u001b[0m\n\u001b[1;32m 2\u001b[0m conv \u001b[38;5;241m=\u001b[39m galsim\u001b[38;5;241m.\u001b[39mConvolve((gal,psf))\n\u001b[1;32m 3\u001b[0m sim_ngrid \u001b[38;5;241m=\u001b[39m batsim\u001b[38;5;241m.\u001b[39msim\u001b[38;5;241m.\u001b[39m_resolve_simulation_ngrid(gal, psf, scale)\n\u001b[0;32m----> 4\u001b[0m supersample \u001b[38;5;241m=\u001b[39m \u001b[43mbatsim\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43msim\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43m_determine_supersampling\u001b[49m\u001b[43m(\u001b[49m\u001b[43mgal\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mscale\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 6\u001b[0m FineGrid \u001b[38;5;241m=\u001b[39m batsim\u001b[38;5;241m.\u001b[39msim\u001b[38;5;241m.\u001b[39m_make_fine_grid(\n\u001b[1;32m 7\u001b[0m conv, scale, sim_ngrid, supersample, pad\n\u001b[1;32m 8\u001b[0m )\n\u001b[1;32m 9\u001b[0m fine_ngrid \u001b[38;5;241m=\u001b[39m FineGrid\u001b[38;5;241m.\u001b[39mfine_ngrid\n", + "\u001b[0;31mTypeError\u001b[0m: _determine_supersampling() missing 1 required positional argument: 'integration_order'" + ] + } + ], + "source": [ + "gal = galsim.Sersic(n=5, half_light_radius=0.2, flux=1)\n", + "conv = galsim.Convolve((gal,psf))\n", + "sim_ngrid = batsim.sim._resolve_simulation_ngrid(gal, psf, scale)\n", + "supersample = batsim.sim._determine_supersampling(gal, scale)\n", + "\n", + "FineGrid = batsim.sim._make_fine_grid(\n", + " conv, scale, sim_ngrid, supersample, pad\n", + ")\n", + "fine_ngrid = FineGrid.fine_ngrid\n", + "fine_compact = FineGrid.fine_compact\n", + "print(supersample, fine_ngrid, fine_compact)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "5de0fba0", + "metadata": {}, + "outputs": [], + "source": [ + "cosmos = galsim.COSMOSCatalog()\n", + "inds = np.arange(len(cosmos))\n", + "galaxies = cosmos.makeGalaxy(index=inds, gal_type=\"parametric\")\n", + "\n", + "# # Determine grid size\n", + "# supersamples = np.empty((len(cosmos)))\n", + "# fine_ngrids = np.empty((len(cosmos)))\n", + "# fine_compacts = np.empty((len(cosmos)))\n", + "# for i, gal in tqdm(enumerate(galaxies)):\n", + "# sim_ngrid = batsim.sim._resolve_simulation_ngrid(gal, psf, scale)\n", + "# supersamples[i] = batsim.sim._determine_supersampling(gal, scale)\n", + "\n", + "# FineGrid = batsim.sim._make_fine_grid(\n", + "# gal, scale, sim_ngrid, supersamples[i], pad\n", + "# )\n", + "# fine_ngrids[i] = FineGrid.fine_ngrid\n", + "# fine_compacts[i] = FineGrid.fine_compact" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "09e5d1b6", + "metadata": {}, + "outputs": [ + { + "ename": "NameError", + "evalue": "name 'fine_ngrids' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", + "Cell \u001b[0;32mIn[13], line 1\u001b[0m\n\u001b[0;32m----> 1\u001b[0m \u001b[38;5;28mprint\u001b[39m(np\u001b[38;5;241m.\u001b[39mwhere(\u001b[43mfine_ngrids\u001b[49m\u001b[38;5;241m>\u001b[39m\u001b[38;5;241m350000\u001b[39m))\n", + "\u001b[0;31mNameError\u001b[0m: name 'fine_ngrids' is not defined" + ] + } + ], + "source": [ + "print(np.where(fine_ngrids>350000))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "8cc22ccf", + "metadata": {}, + "outputs": [], + "source": [ + "values = {\n", + " \"Supersampling factor\": supersamples,\n", + " \"Fine grid size\": fine_ngrids,\n", + " \"Fine compact size\": fine_compacts,\n", + "}\n", + "\n", + "for title, arr in values.items():\n", + " arr = np.asarray(arr)\n", + " arr = arr[np.isfinite(arr)]\n", + "\n", + " plt.figure(figsize=(7, 5))\n", + " plt.hist(arr, bins=50)\n", + " plt.yscale(\"log\")\n", + " plt.xlabel(title)\n", + " plt.ylabel(\"Number of COSMOS galaxies\")\n", + " plt.title(f\"Distribution of {title}\")\n", + " plt.tight_layout()\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "3cf0ecc0", + "metadata": {}, + "outputs": [], + "source": [ + "def estimate_q_eff(\n", + " obj,\n", + " scale,\n", + " sim_ngrid,\n", + " max_pilot_ngrid=192,\n", + " flux_floor=1e-5,\n", + " q_floor=0.15,\n", + "):\n", + " \"\"\"\n", + " Cheap projected axis-ratio estimate for grid-size heuristics.\n", + "\n", + " This is intentionally not a shear estimator. It is a crude morphology\n", + " diagnostic based on flux-weighted second moments of a pilot render.\n", + " \"\"\"\n", + " pilot_ngrid = int(min(sim_ngrid, max_pilot_ngrid))\n", + "\n", + " # Make sure the pilot stamp is not absurdly tiny.\n", + " pilot_ngrid = max(pilot_ngrid, 32)\n", + "\n", + " im = obj.drawImage(\n", + " nx=pilot_ngrid,\n", + " ny=pilot_ngrid,\n", + " scale=scale,\n", + " method=\"no_pixel\",\n", + " ).array.astype(float)\n", + "\n", + " # For ordinary positive galaxy profiles, this is fine.\n", + " # If you have interpolated images with negative ringing, consider abs(im)\n", + " # or clipping to positive values only.\n", + " im = np.where(np.isfinite(im), im, 0.0)\n", + "\n", + " peak = np.max(im)\n", + "\n", + " if peak <= 0:\n", + " return 1.0, {\n", + " \"status\": \"bad_peak\",\n", + " \"pilot_ngrid\": pilot_ngrid,\n", + " }\n", + "\n", + " threshold = flux_floor * peak\n", + " w = np.where(im > threshold, im, 0.0)\n", + "\n", + " total = w.sum()\n", + "\n", + " if total <= 0 or not np.isfinite(total):\n", + " return 1.0, {\n", + " \"status\": \"bad_total\",\n", + " \"pilot_ngrid\": pilot_ngrid,\n", + " }\n", + "\n", + " y, x = np.indices(w.shape)\n", + "\n", + " x0 = (w * x).sum() / total\n", + " y0 = (w * y).sum() / total\n", + "\n", + " dx = x - x0\n", + " dy = y - y0\n", + "\n", + " Ixx = (w * dx * dx).sum() / total\n", + " Iyy = (w * dy * dy).sum() / total\n", + " Ixy = (w * dx * dy).sum() / total\n", + "\n", + " cov = np.array([[Ixx, Ixy], [Ixy, Iyy]])\n", + " evals = np.linalg.eigvalsh(cov)\n", + "\n", + " if np.any(evals <= 0) or not np.all(np.isfinite(evals)):\n", + " return 1.0, {\n", + " \"status\": \"bad_eigenvalues\",\n", + " \"pilot_ngrid\": pilot_ngrid,\n", + " \"evals\": evals,\n", + " }\n", + "\n", + " sigma_minor = np.sqrt(evals[0])\n", + " sigma_major = np.sqrt(evals[1])\n", + "\n", + " q_raw = sigma_minor / sigma_major\n", + " q_eff = float(np.clip(q_raw, q_floor, 1.0))\n", + "\n", + " diagnostics = {\n", + " \"status\": \"ok\",\n", + " \"pilot_ngrid\": pilot_ngrid,\n", + " \"q_raw\": float(q_raw),\n", + " \"q_eff\": q_eff,\n", + " \"sigma_minor_pix\": float(sigma_minor),\n", + " \"sigma_major_pix\": float(sigma_major),\n", + " \"x0\": float(x0),\n", + " \"y0\": float(y0),\n", + " \"Ixx\": float(Ixx),\n", + " \"Iyy\": float(Iyy),\n", + " \"Ixy\": float(Ixy),\n", + " }\n", + "\n", + " return q_eff, diagnostics\n", + "\n", + "def anisotropy_corrected_good_size(\n", + " gal_obj,\n", + " fine_scale,\n", + " coarse_scale,\n", + " pilot_ngrid,\n", + " alpha=0.5,\n", + " min_correction=0.35,\n", + "):\n", + " \"\"\"\n", + " Estimate a fine-grid support size, reducing the circular worst-case size\n", + " for highly elongated galaxies.\n", + "\n", + " alpha = 0.5 gives area-equivalent correction.\n", + " alpha = 0.25 is more conservative.\n", + " \"\"\"\n", + " circular_size = int(gal_obj.getGoodImageSize(fine_scale))\n", + "\n", + " q_eff, _ = estimate_q_eff(\n", + " gal_obj,\n", + " scale=coarse_scale,\n", + " sim_ngrid=pilot_ngrid,\n", + " )\n", + "\n", + " correction = q_eff**alpha\n", + " correction = max(correction, min_correction)\n", + "\n", + " corrected = int(np.ceil(circular_size * correction))\n", + "\n", + " return corrected, circular_size, q_eff" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "7b2505bf", + "metadata": {}, + "outputs": [], + "source": [ + "sim_ngrid = 1024\n", + "scale = 0.2\n", + "gal = cosmos.makeGalaxy(index=29024, gal_type=\"parametric\")\n", + "diag = estimate_q_eff(gal, scale, sim_ngrid)\n", + "print(diag)\n", + "\n", + "corrected, circular, q_eff = anisotropy_corrected_good_size(\n", + " gal,\n", + " fine_scale=scale / 256,\n", + " coarse_scale=scale,\n", + " pilot_ngrid=sim_ngrid,\n", + " alpha=0.5\n", + ")\n", + "\n", + "print(f\"Corrected size: {corrected}, Circular size: {circular}, q_eff: {q_eff}\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "253f930a", + "metadata": {}, + "outputs": [], + "source": [ + "def estimate_rectangular_support_from_flux(\n", + " obj,\n", + " scale,\n", + " sim_nx,\n", + " sim_ny=None,\n", + " max_pilot_nx=512,\n", + " max_pilot_ny=512,\n", + " flux_fraction=0.9999,\n", + " safety=1.25,\n", + " min_size=32,\n", + "):\n", + " \"\"\"\n", + " Estimate rectangular support using 1D marginal flux containment.\n", + "\n", + " Returns support_x_coarse, support_y_coarse in coarse pixels.\n", + " \"\"\"\n", + " if sim_ny is None:\n", + " sim_ny = sim_nx\n", + "\n", + " pilot_nx = int(min(sim_nx, max_pilot_nx))\n", + " pilot_ny = int(min(sim_ny, max_pilot_ny))\n", + "\n", + " pilot_nx = max(pilot_nx, min_size)\n", + " pilot_ny = max(pilot_ny, min_size)\n", + "\n", + " im = obj.drawImage(\n", + " nx=pilot_nx,\n", + " ny=pilot_ny,\n", + " scale=scale,\n", + " method=\"no_pixel\",\n", + " ).array.astype(float)\n", + "\n", + " im = np.where(np.isfinite(im), im, 0.0)\n", + " w = np.clip(im, 0.0, None)\n", + "\n", + " total = w.sum()\n", + "\n", + " if total <= 0 or not np.isfinite(total):\n", + " return sim_nx, sim_ny, {\n", + " \"status\": \"bad_total\",\n", + " \"pilot_nx\": pilot_nx,\n", + " \"pilot_ny\": pilot_ny,\n", + " }\n", + "\n", + " # Marginal flux along each axis.\n", + " x_profile = w.sum(axis=0)\n", + " y_profile = w.sum(axis=1)\n", + "\n", + " support_x = _support_width_1d(\n", + " x_profile,\n", + " flux_fraction=flux_fraction,\n", + " safety=safety,\n", + " min_size=min_size,\n", + " )\n", + "\n", + " support_y = _support_width_1d(\n", + " y_profile,\n", + " flux_fraction=flux_fraction,\n", + " safety=safety,\n", + " min_size=min_size,\n", + " )\n", + "\n", + " diagnostics = {\n", + " \"status\": \"ok\",\n", + " \"pilot_nx\": pilot_nx,\n", + " \"pilot_ny\": pilot_ny,\n", + " \"support_x\": int(support_x),\n", + " \"support_y\": int(support_y),\n", + " \"flux_fraction\": flux_fraction,\n", + " \"safety\": safety,\n", + " }\n", + "\n", + " return support_x, support_y, diagnostics\n", + "\n", + "\n", + "def _support_width_1d(profile, flux_fraction=0.9999, safety=1.25, min_size=32):\n", + " \"\"\"\n", + " Find the narrowest 1D interval containing a target flux fraction.\n", + "\n", + " This is slightly better than simply trimming equal tails because it can\n", + " handle mild asymmetry.\n", + " \"\"\"\n", + " profile = np.asarray(profile, dtype=float)\n", + " profile = np.where(np.isfinite(profile), profile, 0.0)\n", + " profile = np.clip(profile, 0.0, None)\n", + "\n", + " total = profile.sum()\n", + "\n", + " if total <= 0:\n", + " return min_size\n", + "\n", + " target = flux_fraction * total\n", + " cdf = np.concatenate([[0.0], np.cumsum(profile)])\n", + "\n", + " n = len(profile)\n", + "\n", + " best_width = n\n", + " right = 0\n", + "\n", + " for left in range(n):\n", + " if right < left:\n", + " right = left\n", + "\n", + " while right < n and cdf[right + 1] - cdf[left] < target:\n", + " right += 1\n", + "\n", + " if right >= n:\n", + " break\n", + "\n", + " width = right - left + 1\n", + "\n", + " if width < best_width:\n", + " best_width = width\n", + "\n", + " support = int(np.ceil(safety * best_width))\n", + " support = max(support, min_size)\n", + "\n", + " return support" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "b04bdf4c", + "metadata": {}, + "outputs": [], + "source": [ + "sim_ngrid = batsim.sim._resolve_simulation_ngrid(gal, psf, scale)\n", + "\n", + "support_x, support_y, diag = estimate_rectangular_support_from_flux(\n", + " gal,\n", + " scale=scale,\n", + " sim_nx=sim_ngrid\n", + ")\n", + "\n", + "print(f\"Estimated support (x, y): {support_x*256}, {support_y*256}\")" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "batsim-test", + "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": "3.10.20" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/pyproject.toml b/pyproject.toml index 2e0d1cd..11e87be 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -2,8 +2,8 @@ requires = [ "setuptools>=61", "wheel", - "pybind11>=2.2", - "numpy" + "pybind11>=3,<4", + "numpy>=1.26,<2.0" ] build-backend = "setuptools.build_meta" @@ -13,8 +13,8 @@ addopts = "-vv -s" [tool.black] line-length = 110 -target-version = ["py38"] +target-version = ["py310"] [tool.isort] profile = "black" -line_length = 110 \ No newline at end of file +line_length = 110 diff --git a/requirements.txt b/requirements.txt index 474bbdd..1c9c611 100644 --- a/requirements.txt +++ b/requirements.txt @@ -1,5 +1,14 @@ stackvana +numpy>=1.26,<2.0 galsim -matplotlib +fitsio +matplotlib>=3.8,<3.9 +astropy>=6.0,<6.1 pip +pybind11>=3,<4 +# Optional GPU support: +# pip install .[cuda12] +# pip install .[cuda13] +# or install BATSim first and run: +# batsim-install-gpu diff --git a/setup.py b/setup.py index 8b1fc99..f0cf7b8 100644 --- a/setup.py +++ b/setup.py @@ -1,75 +1,117 @@ import os +import sys +import sysconfig + from setuptools import Extension, find_packages, setup from setuptools.command.build_ext import build_ext -import pybind11 -class CustomBuildExt(build_ext): - def run(self): - # Dynamically set include_dirs and library_dirs before building - # extensions - include_dirs, lib_dirs = self.find_galsim_paths() +class BuildExt(build_ext): + def build_extensions(self): + pybind11_include_dirs = self._find_pybind11_paths() + include_dirs, library_dirs = self._find_galsim_paths() + + if not self._has_library(library_dirs, "galsim"): + search_paths = ", ".join(library_dirs) or "" + raise RuntimeError( + "Could not find GalSim's C++ shared library libgalsim. " + "Install GalSim from conda-forge, or build GalSim's shared C++ " + "library from the GalSim source tree with " + "`python setup.py build_shared_clib` and set GALSIM_LIB_DIR " + "and GALSIM_INCLUDE_DIR before installing BATSim. " + f"Searched library paths: {search_paths}" + ) for ext in self.extensions: - for _ in include_dirs: - ext.include_dirs.append(_) - for _ in lib_dirs: - ext.library_dirs.append(_) - ext.runtime_library_dirs.append(_) # For Linux + ext.include_dirs.extend( + [ + *pybind11_include_dirs, + *include_dirs, + ] + ) + ext.library_dirs.extend(library_dirs) + ext.runtime_library_dirs.extend(library_dirs) + ext.libraries.append("galsim") + + super().build_extensions() + + def _find_pybind11_paths(self): + prefix_include = os.path.join(sys.prefix, "include") + if os.path.exists(os.path.join(prefix_include, "pybind11", "pybind11.h")): + return [prefix_include] - super().run() + import pybind11 - def find_galsim_paths(self): + return [pybind11.get_include()] + + def _find_galsim_paths(self): include_dirs = [] - lib_dirs = [] - - # Prefer GalSim's own include directory if import works - try: - import galsim - inc = galsim.include_dir # .../site-packages/galsim/include - include_dirs.append(inc) - include_dirs.append(os.path.join(inc, "galsim")) # <-- add this - except Exception: - print("Error: Could not import GalSim to find include directory.") - - # Conda-build uses PREFIX for the host env (headers live here) + library_dirs = [] + + include_override = os.environ.get("GALSIM_INCLUDE_DIR") + if include_override: + include_dirs.extend([include_override, os.path.join(include_override, "galsim")]) + + lib_override = os.environ.get("GALSIM_LIB_DIR") + if lib_override: + library_dirs.append(lib_override) + prefixes = [ - os.environ.get("PREFIX"), # conda-build host env - os.environ.get("CONDA_PREFIX"), # active env fallback + sys.prefix, + os.environ.get("CONDA_PREFIX"), + os.environ.get("PREFIX"), + sysconfig.get_config_var("prefix"), ] - for p in prefixes: - if not p: + for prefix in prefixes: + if not prefix: continue - include_dirs.append(os.path.join(p, "include")) - include_dirs.append(os.path.join(p, "include", "galsim")) - include_dirs.append(os.path.join(p, "include", "eigen3")) - lib_dirs.append(os.path.join(p, "lib")) + include_dirs.extend( + [ + os.path.join(prefix, "include"), + os.path.join(prefix, "include", "galsim"), + os.path.join(prefix, "include", "eigen3"), + ] + ) + lib_dir = os.path.join(prefix, "lib") + if os.path.isdir(lib_dir): + library_dirs.append(lib_dir) + + if not self._has_header(include_dirs, "GalSim.h"): + try: + import galsim + + galsim_include = getattr(galsim, "include_dir", None) + if galsim_include: + include_dirs.extend([galsim_include, os.path.join(galsim_include, "galsim")]) + except ImportError: + pass - # 3) Last-resort system paths - include_dirs += ["/usr/local/include", "/usr/include", "/usr/include/eigen3"] - lib_dirs += ["/usr/local/lib", "/usr/lib"] + return self._dedupe(include_dirs), self._dedupe(library_dirs) - # De-duplicate preserving order - def uniq(xs): - out = [] - for x in xs: - if x and x not in out: - out.append(x) - return out + def _has_header(self, include_dirs, name): + return any(os.path.exists(os.path.join(directory, name)) for directory in include_dirs) - return uniq(include_dirs), uniq(lib_dirs) + def _has_library(self, library_dirs, name): + patterns = [f"lib{name}.so", f"lib{name}.dylib", f"{name}.lib"] + return any(os.path.exists(os.path.join(directory, pattern)) for directory in library_dirs for pattern in patterns) + + def _dedupe(self, values): + out = [] + for value in values: + if value and value not in out: + out.append(value) + return out -# Define your extension module gsinterface = Extension( "batsim._gsinterface", sources=["src/batsim/_gsinterface.cpp"], - include_dirs=[pybind11.get_include()], - libraries=["galsim"], + include_dirs=[], + libraries=[], language="c++", extra_compile_args=["-std=c++17", "-fopenmp", "-O3"], - extra_link_args=["-flto", "-fopenmp"], + extra_link_args=["-fopenmp"], ) setup( @@ -77,6 +119,7 @@ def uniq(xs): author="Charlie MacMahon, Andy Park", author_email="c.macmahon@ncl.ac.uk, chanhyup@andrew.cmu.edu", license="MIT", + python_requires=">=3.10,<3.13", long_description=open("README.md").read(), long_description_content_type="text/markdown", classifiers=[ @@ -88,10 +131,24 @@ def uniq(xs): "Programming Language :: Python", ], packages=find_packages(where="src"), + py_modules=["batsim_install_gpu"], package_dir={"": "src"}, + ext_modules=[gsinterface], + cmdclass={"build_ext": BuildExt}, install_requires=[ - "numpy", "pybind11>=2.2", "fitsio", "matplotlib", "astropy", + "numpy>=1.26,<2.0", + "galsim", + "fitsio", + "matplotlib>=3.8,<3.9", + "astropy>=6.0,<6.1", ], - ext_modules=[gsinterface], - cmdclass={"build_ext": CustomBuildExt}, + extras_require={ + "cuda12": ["cupy-cuda12x>=13.6,<14"], + "cuda13": ["cupy-cuda13x>=13.6,<14"], + }, + entry_points={ + "console_scripts": [ + "batsim-install-gpu=batsim_install_gpu:main", + ], + }, ) diff --git a/src/batsim/.nfs00000000749b680f00000c6e b/src/batsim/.nfs00000000749b680f00000c6e new file mode 100755 index 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-py::array_t getFluxVec( +template +py::array_t getFluxVecTyped( const double scale, const galsim::SBProfile& gsobj, - const py::array_t& xy_coords -){ - auto xy = xy_coords.unchecked<2>(); - const int n_points = xy_coords.shape(1); - const int dim = std::sqrt(n_points); + const py::array_t& xy_coords +) { + auto xy = xy_coords.template unchecked<2>(); + + if (xy_coords.ndim() != 2 || xy_coords.shape(0) != 2) { + throw std::runtime_error("xy_coords must have shape (2, n_points)"); + } + + const py::ssize_t n_points = xy_coords.shape(1); + const int dim = static_cast(std::sqrt(static_cast(n_points))); const int n_used = dim * dim; - auto result = py::array_t({dim, dim}); + + if (n_used != n_points) { + throw std::runtime_error("xy_coords.shape[1] must be a perfect square"); + } + + auto result = py::array_t({dim, dim}); auto out = result.mutable_data(); - double area = scale * scale; - // Pre-warm GalSim's internal cache with a single serial call - // before entering the parallel region - gsobj.xValue(galsim::Position(xy(0, 0), xy(1, 0))); + const double area = scale * scale; + + // Pre-warm GalSim's internal cache with a single serial call. + gsobj.xValue( + galsim::Position( + static_cast(xy(0, 0)), + static_cast(xy(1, 0)) + ) + ); #pragma omp parallel for schedule(static) - for(int i = 0; i < n_used; ++i) { - out[i] = gsobj.xValue( - galsim::Position(xy(0, i), xy(1, i)) + for (int i = 0; i < n_used; ++i) { + const double x = static_cast(xy(0, i)); + const double y = static_cast(xy(1, i)); + + const double flux = gsobj.xValue( + galsim::Position(x, y) ) * area; + out[i] = static_cast(flux); } return result; } -// Utility function to generate rfftfreq -std::vector rfftfreq(int n, double scale) { - std::vector result(n/2 + 1); - for(int i = 0; i <= n / 2; ++i) { - result[i] = i / (scale * n); +template +py::array_t getPsfKValueTyped( + const double scale, + const galsim::SBProfile& gsobj, + const int n +) { + if (n <= 0) { + throw std::runtime_error("n must be positive"); } - return result; -} -// Utility function to generate fftfreq -std::vector fftfreq(int n, double scale) { - std::vector result(n); - double val = 1.0 / (n * scale); - for(int i = 0; i < n; ++i) { - if (i < (n + 1) / 2) { - result[i] = i * val; - } else { - result[i] = (i - n) * val; - } - } - return result; -} + const int nkx = n / 2 + 1; + auto result = py::array_t({n, nkx}); + auto out = result.mutable_data(); -bool is_c_contiguous(const py::array& arr) { - return arr.flags() & py::array::c_style; -} + const double dk = 2.0 * M_PI / (static_cast(n) * scale); -// Convolve gal_prof (defined in configuration space) with Galsim PSF object -// Then perform a down sampling -py::array_t convolvePsf( - const double scale, - const galsim::SBProfile& gsobj, - const py::array_t& gal_prof, - const int downsample_ratio, - const int ngrid -){ - bool test = is_c_contiguous(gal_prof); - if (! test) { - throw std::runtime_error( - "Input galaxy array is not continuous in memory" - ); - } - auto info = gal_prof.request(); - int dim = info.shape[0]; - - // down sampled scale and dimension - double scale2 = scale * downsample_ratio; - int dim2 = dim / downsample_ratio; - - // Frequency grids for the down sampled signal - const auto x_freqs2 = rfftfreq(dim2, scale2); - const auto y_freqs2 = fftfreq(dim2, scale2); - - // Allocate FFTW arrays with pointers - double* in = static_cast(info.ptr); - fftw_complex* out = fftw_alloc_complex(dim * (dim / 2 + 1)); - fftw_complex* out2 = fftw_alloc_complex(dim2 * (dim2 / 2 + 1)); - - // Plan and execute forward FFT - fftw_plan p_forward = fftw_plan_dft_r2c_2d(dim, dim, in, out, FFTW_ESTIMATE); - fftw_execute(p_forward); - - // Pre-warm GalSim's internal cache with a single serial call - // before entering the parallel region - gsobj.kValue(galsim::Position(x_freqs2[0], y_freqs2[0])); - - // Process FFT result using gsobj - #pragma omp parallel for - for (int y2 = 0; y2 < dim2; ++y2) { - int y = (y2 >= dim2 / 2) ? (dim - dim2 + y2) : y2; - for (int x2 = 0; x2 < (dim2 / 2 + 1); ++x2) { - int x = x2; - int index = y * (dim / 2 + 1) + x; - int index2 = y2 * (dim2 / 2 + 1) + x2; - std::complex fft_val(out[index][0], out[index][1]); - std::complex result = fft_val * gsobj.kValue( - galsim::Position( - 2.0 * M_PI * x_freqs2[x2], - 2.0 * M_PI * y_freqs2[y2] - ) + // Pre-warm GalSim's internal cache with a single serial call. + gsobj.kValue(galsim::Position(0.0, 0.0)); + + #pragma omp parallel for schedule(static) + for (int y = 0; y < n; ++y) { + const int ky_index = (y < (n + 1) / 2) ? y : y - n; + const double ky = dk * static_cast(ky_index); + + for (int x = 0; x < nkx; ++x) { + const double kx = dk * static_cast(x); + const std::complex value = gsobj.kValue( + galsim::Position(kx, ky) + ); + + out[y * nkx + x] = ComplexT( + static_cast(value.real()), + static_cast(value.imag()) ); - out2[index2][0] = result.real(); - out2[index2][1] = result.imag(); - } - } - // Cleanup fftw - fftw_destroy_plan(p_forward); - fftw_free(out); - - // Allocate array for inverse FFT result - double* ifft_out = fftw_alloc_real(dim2 * dim2); - // Plan and execute inverse FFT - fftw_plan p_backward = fftw_plan_dft_c2r_2d(dim2, dim2, out2, ifft_out, FFTW_ESTIMATE); - fftw_execute(p_backward); - // Cleanup fftw - fftw_destroy_plan(p_backward); - fftw_free(out2); - - // Normalize once; FFTW inverse is unnormalized - const double inv_norm = 1.0 / static_cast(dim2) / static_cast(dim2); - - auto result = py::array_t({ngrid, ngrid}); - auto r = result.mutable_unchecked<2>(); - - // Define source and destination rectangles centered - const int src_w = dim2, src_h = dim2; - const int dst_w = ngrid, dst_h = ngrid; - - // Centers with explicit floor for clarity - const int src_cx = src_w / 2; // floor - const int src_cy = src_h / 2; - const int dst_cx = dst_w / 2; - const int dst_cy = dst_h / 2; - - // Compute the overlap box in destination coordinates - // We want to place the src centered into dst. - for (int dy = 0; dy < dst_h; ++dy) { - int sy = dy - dst_cy + src_cy; - bool in_y = (0 <= sy && sy < src_h); - for (int dx = 0; dx < dst_w; ++dx) { - int sx = dx - dst_cx + src_cx; - bool in_x = (0 <= sx && sx < src_w); - if (in_x && in_y) { - r(dy, dx) = ifft_out[sy * src_w + sx] * inv_norm; - } else { - r(dy, dx) = 0.0; // pad outside - } } } - // Cleanup fftw - fftw_free(ifft_out); + return result; } PYBIND11_MODULE(_gsinterface, m) { - m.doc() = "Pybind11 interface for GalSim flux and Fourier computations"; + m.doc() = "Pybind11 interface for GalSim flux sampling"; + m.def( + "getFluxVec", + &getFluxVecTyped, + py::arg("scale"), + py::arg("gsobj"), + py::arg("xy_coords"), + "Sample galaxy flux using float64 coordinates and output." + ); + m.def( + "getFluxVec64", + &getFluxVecTyped, + py::arg("scale"), + py::arg("gsobj"), + py::arg("xy_coords"), + "Sample galaxy flux using float64 coordinates and output." + ); + m.def( + "getFluxVec32", + &getFluxVecTyped, + py::arg("scale"), + py::arg("gsobj"), + py::arg("xy_coords"), + "Sample galaxy flux using float32 coordinates and output." + ); m.def( - "getFluxVec", &getFluxVec, - "Get flux values at multiple x,y coordinates", + "getPsfKValue64", + &getPsfKValueTyped>, py::arg("scale"), py::arg("gsobj"), - py::arg("xy_coords") + py::arg("n"), + "Sample PSF kValue on a float64/complex128 rFFT frequency grid." ); m.def( - "convolvePsf", &convolvePsf, - "Convolve galaxy profile with PSF", + "getPsfKValue32", + &getPsfKValueTyped>, py::arg("scale"), py::arg("gsobj"), - py::arg("gal_prof"), - py::arg("downsample_ratio"), - py::arg("ngrid") + py::arg("n"), + "Sample PSF kValue on a float32/complex64 rFFT frequency grid." ); } diff --git a/src/batsim/sim.py b/src/batsim/sim.py index e36fa10..23d5287 100644 --- a/src/batsim/sim.py +++ b/src/batsim/sim.py @@ -1,254 +1,952 @@ +import warnings +import gc +from dataclasses import dataclass + import galsim import numpy as np -import os -import multiprocessing as mp -from functools import lru_cache +import time +import types -from . import _gsinterface from .stamp import Stamp -from time import perf_counter +try: + from . import _gsinterface +except ImportError: + _gsinterface = None -_PSF_REGISTRY = {} -def _register_psf(psf_obj): - # Keep memory bounded and invalidate stale cached entries. - if len(_PSF_REGISTRY) >= 128: - _PSF_REGISTRY.clear() - _cached_pad_arcsec.cache_clear() - _cached_effective_psf.cache_clear() - key = id(psf_obj) - _PSF_REGISTRY[key] = psf_obj - return key +_ARRAY_BACKEND = None +_CPU_FALLBACK_WARNED = False -@lru_cache(maxsize=128) -def _cached_pad_arcsec(psf_key, pix_scale): - return _PSF_REGISTRY[psf_key].calculateMomentRadius(size=32, scale=pix_scale / 4.0) -@lru_cache(maxsize=128) -def _cached_effective_psf(psf_key): - psf_obj = _PSF_REGISTRY[psf_key] - return psf_obj +@dataclass(frozen=True) +class FineGrid: + """ + Description of the high-resolution grid used for real-space sampling + and Fourier-space convolution. + """ + fine_scale: float + fine_ngrid: int + fine_compact: int -def simulate_galaxy( + +def _require_gsinterface(): + """Return the compiled C++ sampling backend, or raise a clear error.""" + if _gsinterface is None: + raise ImportError( + "batsim._gsinterface is not compiled. Reinstall BATSim with " + "GalSim's C++ shared library built and linked. Instructions can be found here: " + "https://galsim-developers.github.io/GalSim/_build/html/install_pip.html#installing-the-c-shared-library" + ) + return _gsinterface + + +def _get_array_backend(): + """ + Return CuPy if available, otherwise NumPy. + + The selected module is cached after the first call. + """ + global _ARRAY_BACKEND + global _CPU_FALLBACK_WARNED + + if _ARRAY_BACKEND is not None: + return _ARRAY_BACKEND + + try: + import cupy as cp + + cp.cuda.runtime.getDeviceCount() + _ARRAY_BACKEND = cp + except Exception: + if not _CPU_FALLBACK_WARNED: + warnings.warn( + "CuPy unavailable; falling back to NumPy FFTs on CPU.", + RuntimeWarning, + stacklevel=2, + ) + _CPU_FALLBACK_WARNED = True + _ARRAY_BACKEND = np + + return _ARRAY_BACKEND + + +def _resolve_array_backend(backend): + """ + Resolve a user-supplied backend selector to an array module. + """ + if backend is None: + return _get_array_backend() + + if backend is np or backend in ("np", "numpy"): + return np + + if backend in ("cp", "cupy"): + try: + import cupy as cp + + cp.cuda.runtime.getDeviceCount() + return cp + except Exception as exc: + raise RuntimeError( + "backend='cp' was requested, but CuPy is unavailable." + ) from exc + + if isinstance(backend, types.ModuleType): + return backend + + raise ValueError( + f"Invalid backend '{backend}'; must be 'np', 'cp', a module, or None." + ) + + +def _to_numpy(xp, array): + """Convert a NumPy/CuPy array to a NumPy array.""" + if xp is np: + return np.asarray(array) + return xp.asnumpy(array) + + +def _precision_dtypes(xp, precision): + """Return real and complex dtypes for the requested FFT precision.""" + if precision == "single": + return xp.float32, xp.complex64 + + if precision == "double": + return xp.float64, xp.complex128 + + raise ValueError( + f"Invalid precision '{precision}'; must be 'single' or 'double'." + ) + + +def _release_backend_memory(xp): + """ + Release cached CuPy allocations after a simulation. + """ + if xp is np: + return + + gc.collect() + + try: + xp.cuda.Stream.null.synchronize() + except Exception: + pass + + try: + xp.fft.config.get_plan_cache().clear() + except Exception: + pass + + gc.collect() + + try: + xp.get_default_memory_pool().free_all_blocks() + except Exception: + pass + + try: + xp.get_default_pinned_memory_pool().free_all_blocks() + except Exception: + pass + + gc.collect() + + +def clear_backend_memory(backend=None): + """ + Clear cached backend allocations, primarily useful after CuPy OOMs. + """ + xp = _resolve_array_backend(backend) + _release_backend_memory(xp) + + +def _center_crop_or_pad(array, target_shape): + """ + Centrally crop or zero-pad an array to the requested shape. + """ + out = np.zeros(target_shape, dtype=array.dtype) + + src_y, src_x = array.shape + dst_y, dst_x = target_shape + + copy_y = min(src_y, dst_y) + copy_x = min(src_x, dst_x) + + src_y0 = (src_y - copy_y) // 2 + src_x0 = (src_x - copy_x) // 2 + dst_y0 = (dst_y - copy_y) // 2 + dst_x0 = (dst_x - copy_x) // 2 + + out[dst_y0:dst_y0 + copy_y, dst_x0:dst_x0 + copy_x] = array[ + src_y0:src_y0 + copy_y, + src_x0:src_x0 + copy_x, + ] + + return out + + +def _draw_centered_psf(xp, psf_obj, n, scale, dtype=None): + """ + Draw the PSF on the full FFT grid. + + Pixel convolution is not included here; the pixel response is applied + separately in Fourier space. + """ + psf_image = psf_obj.drawImage( + nx=n, + ny=n, + scale=scale, + method="no_pixel", + use_true_center=False, + ).array + + return xp.asarray(psf_image, dtype=dtype) + + +def _determine_supersampling( + obj, + scale, + integration_order, + safety=2.0, + max_supersample=16, + min_supersample=4, + attenuation_target=0.5 +): + """ + Estimate supersampling factor from the object's Fourier bandwidth. + """ + maxk = obj.maxk + nyquist = np.pi / scale + + raw = safety * maxk / nyquist + + q = max(1, int(integration_order)) + + if q <= 1: + effective = raw + else: + # attenuation_target lets you tune how much high-k leakage you tolerate. + integration_reduction = q ** 2 / attenuation_target**0.5 + + # Avoid absurd reductions for high q. + integration_reduction = min(integration_reduction, 8.0 * q) + + effective = raw / integration_reduction + + # Do not allow the requested effective supersampling to fall below q, + # otherwise fft_supersample may collapse too aggressively. + effective = max(effective, q) + + supersample = 2 ** int(np.ceil(np.log2(max(min_supersample, effective)))) + + return int(np.clip(supersample, min_supersample, max_supersample)) + + +def _resolve_simulation_ngrid(gal_obj, psf_obj, scale): + """ + Choose the internal coarse-grid simulation size. + + This is deliberately independent of the requested final output ngrid. + """ + if psf_obj is None: + return int(gal_obj.getGoodImageSize(scale)) + + conv = galsim.Convolve([gal_obj, psf_obj]) + return int(conv.getGoodImageSize(scale)) + + +def _make_fine_grid(gal_obj, scale, sim_ngrid, supersample, pad, max_fine_grid=None): + """ + Construct the fine grid used for sampling and convolution. + """ + fine_scale = scale / supersample + + requested_fine_ngrid = (sim_ngrid + 2 * pad) * supersample + fine_compact = int(gal_obj.getGoodImageSize(fine_scale)) + + fine_ngrid = max(requested_fine_ngrid, fine_compact) + + remainder = fine_ngrid % supersample + if remainder: + fine_ngrid += supersample - remainder + + if max_fine_grid is not None: + max_fine_grid = int(max_fine_grid) + if max_fine_grid < 1: + raise ValueError("max_fine_grid must be positive.") + + capped_fine_ngrid = max_fine_grid - (max_fine_grid % supersample) + if capped_fine_ngrid < supersample: + raise ValueError( + "max_fine_grid must be at least one supersampling block." + ) + + fine_ngrid = min(fine_ngrid, capped_fine_ngrid) + + return FineGrid( + fine_scale=fine_scale, + fine_ngrid=fine_ngrid, + fine_compact=fine_compact, + ) + + +def _resolve_integration_sampling(supersample, integration_order): + """ + Split the requested anti-aliasing factor between integration and FFT size. + """ + supersample = int(supersample) + integration_order = int(integration_order) + + if supersample < 1: + raise ValueError("supersample must be >= 1.") + if integration_order < 1: + raise ValueError("integration_order must be >= 1.") + + integration_order = min(integration_order, supersample) + fft_supersample = int(np.ceil(supersample / integration_order)) + + return fft_supersample, integration_order + + +def _integration_offsets(xp, fine_scale, integration_order, dtype): + """ + Return sub-pixel offsets for midpoint block integration. + """ + if integration_order <= 1: + return None + + offsets_1d = ( + (xp.arange(integration_order, dtype=dtype) + 0.5) / integration_order + - 0.5 + ) * fine_scale + yy, xx = xp.meshgrid(offsets_1d, offsets_1d, indexing="ij") + + return xp.stack( + [ + xx.ravel(), + yy.ravel(), + ], + axis=1, + ) + + +def _prepare_transforms(transform_obj, xp, dtype=None): + """ + Move transform objects to the selected backend once per sampling call. + """ + if transform_obj is None: + return None + + if not isinstance(transform_obj, (list, tuple)): + transform_obj = [transform_obj] + + prepared = [] + for trf in transform_obj: + if hasattr(trf, "to_backend"): + try: + trf = trf.to_backend(backend=xp, dtype=dtype) + except TypeError: + trf = trf.to_backend(backend=xp) + prepared.append(trf) + + return prepared + + +def _apply_prepared_transforms(coords, transform_obj, xp): + """ + Apply backend-prepared transforms to a coordinate array. + """ + coords = xp.asarray(coords) + + if transform_obj is None: + return coords + + for trf in transform_obj: + coords = trf.transform(coords) + + return coords + + +def _sample_galaxy_profile(gal_obj, coords, fine_scale, real_dtype): + """ + Sample the galaxy surface brightness using the compiled C++ backend. + """ + gsinterface = _require_gsinterface() + use_single = np.dtype(real_dtype) == np.dtype(np.float32) + + sampler = gsinterface.getFluxVec32 if use_single else gsinterface.getFluxVec64 + + return sampler( + scale=fine_scale, + gsobj=gal_obj._sbp, + xy_coords=coords, + ) + + +def _sample_galaxy_profile_on_stamp( gal_obj, - pix_scale, - ngrid = None, - transform_obj=None, - psf_obj=None, - truncate_ratio=1.0, - maximum_num_grids=4096, - draw_method="auto", - force_ngrid=False, - delta_image_x=0.0, - delta_image_y=0.0, + stamp, + transform_obj, + fine_scale, + real_dtype, + xp, + integration_order=2, profile=False, ): - """The function samples the surface density field of a galaxy at the grids - This function only conduct sampling; PSF and pixel response are not - included. - - Args: - ngrid (int): number of grids - pix_scale (float): pixel scale - gal_obj (galsim): Galsim galaxy object to sample on the grids - transform_obj : Coordinate transform object or list of transform in order - that they should be applied. - psf_obj (galsim): Galsim PSF object to smear the image - truncate_ratio (float): - truncate at truncate_ratio times good_image_size - maximum_num_grids (int): - maximum number of grids for simulation in real space - draw_method (str): method to draw the galaxy image, "auto" will convolve - with pixel response, "no_pixel" is as it implies - force_ngrid (bool): If True, force the number of grids to be ngrid even if - a smaller number of grids is sufficient for the - simulation - profile (bool): If True, print per-galaxy timings and stats - Returns: - outcome (ndarray): 2D galaxy image on the grids - """ - def _log(msg): - if profile: - print(f"[simulate_galaxy] {msg}") + """ + Sample the locally integrated galaxy profile on the fine simulation grid. + """ + transform_obj = _prepare_transforms( + transform_obj, + xp=xp, + dtype=real_dtype, + ) + + if profile: + sync_if_gpu(xp) + start = time.time() - t_total = perf_counter() if profile else None - gobj = gal_obj.shift( - delta_image_x * pix_scale, - delta_image_y * pix_scale, + offsets = _integration_offsets( + xp=xp, + fine_scale=fine_scale, + integration_order=integration_order, + dtype=real_dtype, ) - psf_key = _register_psf(psf_obj) if psf_obj is not None else None - # Initialize variables based on PSF presence - downsample_ratio = 1 - pad_arcsec = 0.0 - if psf_obj is None and draw_method == "no_pixel": - # In this case we just get the fluxes for the requested stamp size - scale = pix_scale - nn = int(ngrid) + if offsets is None: + coords_backend = stamp.coords else: - t = perf_counter() if profile else None - # Compute the effective scale for simulation - if psf_obj is None: - scale = pix_scale / 4.0 - else: - scale = min(gobj.nyquist_scale, pix_scale / 4.0) - pad_arcsec = _cached_pad_arcsec(psf_key, pix_scale) - downsample_ratio = min(int(2 ** np.ceil(np.log2(pix_scale / scale))), 128) - if profile: - _log(f"effective_scale_padding={perf_counter() - t:.4e}s") - scale = pix_scale / downsample_ratio - - t = perf_counter() if profile else None - # Calculate the number of grids considering padding and truncation - npad = int(pad_arcsec / scale + 0.5) * 4 - nn = npad * 2 + min( - gobj.getGoodImageSize(scale) - * truncate_ratio, ngrid * downsample_ratio - ) - nn = min(int(2 ** np.ceil(np.log2(nn))), maximum_num_grids) - if profile: - _log(f"grid_sizing={perf_counter() - t:.4e}s") - - if force_ngrid and nn < ngrid: - nn = ngrid - scale = pix_scale + n_offsets = offsets.shape[0] + coords_backend = stamp.coords[None, :, :] + offsets[:, :, None] + coords_backend = xp.transpose(coords_backend, (1, 0, 2)) + coords_backend = coords_backend.reshape(2, n_offsets * stamp.nn * stamp.nn) - # Initialize and Distort Coordinates in order - t_section = perf_counter() if profile else None - stamp = Stamp(nn=nn, scale=scale) + coords_backend = _apply_prepared_transforms( + coords=coords_backend, + transform_obj=transform_obj, + xp=xp, + ) - # Check if transform_obj is a list of transforms and apply them in order - if isinstance(transform_obj, list): - gal_coords = stamp.coords - for trf in transform_obj: - gal_coords = trf.transform(gal_coords) + if profile: + sync_if_gpu(xp) + end = time.time() + print(f"Build coordinates and transforms took {end - start:.3f} seconds") - # If transform_obj is a single transform, apply it directly - elif transform_obj is not None: - gal_coords = transform_obj.transform(stamp.coords) + if profile: + sync_if_gpu(xp) + start = time.time() - # If no transform is provided, use the original coordinates - else: - gal_coords = stamp.coords + coords = _to_numpy(xp, coords_backend) + del coords_backend if profile: - _log(f"coords_transform={perf_counter() - t_section:.4e}s") + sync_if_gpu(xp) + end = time.time() + print(f"Transfer coords to CPU took {end - start:.3f} seconds") - # Sample the galaxy flux - t = perf_counter() if profile else None - gal_prof = _gsinterface.getFluxVec( - scale=scale, - gsobj=gobj._sbp, - xy_coords=gal_coords + start = time.time() + + gal_prof = _sample_galaxy_profile( + gal_obj=gal_obj, + coords=coords, + fine_scale=fine_scale, + real_dtype=real_dtype, ) + + if integration_order > 1: + gal_prof = np.asarray(gal_prof).reshape( + integration_order * integration_order, + stamp.nn, + stamp.nn, + ).mean(axis=0, dtype=np.dtype(real_dtype)) + + end = time.time() if profile: - _log(f"sample_flux={perf_counter() - t:.4e}s") - - # No convolution necessary in this case so just return the fluxes - if draw_method == "no_pixel": - if psf_obj is None: - if profile: - _log( - f"stats nn={nn} downsample_ratio={downsample_ratio} scale={scale:.4e} " - f"pad_arcsec={pad_arcsec:.4e} draw_method={draw_method}" - ) - _log(f"total={perf_counter() - t_total:.4e}s") - return gal_prof - else: - pass - elif draw_method == "auto": - t = perf_counter() if profile else None - if psf_obj is None: - psf_obj = galsim.Pixel(scale=pix_scale) - else: - psf_obj = _cached_effective_psf(psf_key) - psf_obj = galsim.Convolve([psf_obj, galsim.Pixel(scale=pix_scale)]) - if profile: - _log(f"prepare_psf={perf_counter() - t:.4e}s") - else: - raise ValueError("do not support draw_method=%s" %draw_method) - - t = perf_counter() if profile else None - # Convolution in Fourier space - gal_prof = _gsinterface.convolvePsf( - scale=scale, + print(f"Galaxy sampling took {end - start:.3f} seconds") + + del coords + + if profile: + sync_if_gpu(xp) + start = time.time() + gal_prof = xp.asarray(gal_prof, dtype=real_dtype) + + if profile: + sync_if_gpu(xp) + end = time.time() + target = "GPU" if xp is not np else "NumPy" + print(f"Transfer galaxy profile to {target} took {end - start:.3f} seconds") + + return gal_prof + + +def _sample_psf_spectrum(psf_obj, n, fine_scale, complex_dtype): + """ + Sample the analytic PSF Fourier transform on an rFFT frequency grid. + """ + gsinterface = _require_gsinterface() + sampler = ( + gsinterface.getPsfKValue32 + if np.dtype(complex_dtype) == np.dtype(np.complex64) + else gsinterface.getPsfKValue64 + ) + + return sampler( + scale=fine_scale, gsobj=psf_obj._sbp, - gal_prof=gal_prof, - downsample_ratio=downsample_ratio, - ngrid=ngrid + n=int(n), ) - if profile: - _log(f"convolution_downsample={perf_counter() - t:.4e}s") - _log( - f"stats nn={nn} downsample_ratio={downsample_ratio} scale={scale:.4e} " - f"pad_arcsec={pad_arcsec:.4e} draw_method={draw_method}" + + +def _rfft_centered_image(xp, image, real_dtype, complex_dtype): + """ + Compute rfft2(ifftshift(image)) without explicitly shifting the image. + + The input image remains in the centred real-space convention. The phase + correction converts the spectrum to the convention that would have been + obtained by first applying np.fft.ifftshift(image). + """ + n = image.shape[0] + + image = xp.asarray(image, dtype=real_dtype) + image = xp.ascontiguousarray(image) + spectrum = xp.fft.rfft2(image).astype(complex_dtype, copy=False) + + del image + + _apply_centering_phase(xp, spectrum, n) + + return spectrum + + +def _apply_centering_phase(xp, spectrum, n): + """ + Apply the Fourier phase equivalent to np.fft.ifftshift before an FFT. + + This avoids materialising a shifted real-space image, which is expensive + for very large supersampled stamps. + """ + shift = -(n // 2) + + ky = xp.fft.fftfreq(n) * n + kx = xp.fft.rfftfreq(n) * n + + phase_y = xp.exp(-2j * xp.pi * ky * shift / n) + phase_x = xp.exp(-2j * xp.pi * kx * shift / n) + + phase_y = phase_y.astype(spectrum.dtype, copy=False) + phase_x = phase_x.astype(spectrum.dtype, copy=False) + + spectrum *= phase_y[:, None] + spectrum *= phase_x[None, :] + + +def _apply_pixel_response(xp, spectrum, n, fine_scale, pix_scale): + """ + Apply the square-pixel Fourier response in-place on an rfft2 grid. + + The response is separable, so this avoids allocating a full 2D pixel FFT. + """ + ky = 2.0 * xp.pi * xp.fft.fftfreq(n, d=fine_scale) + kx = 2.0 * xp.pi * xp.fft.rfftfreq(n, d=fine_scale) + + pix_y = xp.sinc(ky * pix_scale / (2.0 * xp.pi)) + pix_x = xp.sinc(kx * pix_scale / (2.0 * xp.pi)) + + real_dtype = spectrum.real.dtype + pix_y = pix_y.astype(real_dtype, copy=False) + pix_x = pix_x.astype(real_dtype, copy=False) + + spectrum *= pix_y[:, None] + spectrum *= pix_x[None, :] + + +def _extract_centered_coarse_image(xp, image, downsample_ratio): + """ + Return fftshift(image)[::downsample_ratio, ::downsample_ratio] without + explicitly materialising fftshift(image). + + This keeps the expensive full-resolution image shift out of both GPU and + CPU memory paths. Only the already-downsampled coarse image is gathered. + """ + n = image.shape[0] + s = int(downsample_ratio) + + if s < 1: + raise ValueError("downsample_ratio must be >= 1") + + coarse_n = n // s + + rows = (xp.arange(coarse_n) * s - n // 2) % n + cols = (xp.arange(coarse_n) * s - n // 2) % n + + coarse = image[rows[:, None], cols[None, :]] + del image, rows, cols + + if s > 1: + coarse = (s ** 2) * coarse + + return _to_numpy(xp, coarse) + + +def _convolve_psf_fft( + xp, + gal_prof, + scale, + pix_scale, + psf_obj, + downsample_ratio, + draw_method, + dtypes, + psf_mode, + target_flux=None, + profile=False +): + """ + Convolve the sampled galaxy with PSF and/or pixel response using rFFT. + + The expensive path avoids explicit fftshift/ifftshift operations. Instead: + - centred real-space images are converted by Fourier phase correction; + - the pixel response is applied separably in-place; + - the full fine-grid image is inverse FFT'd, then downsampled in real space. + """ + n = gal_prof.shape[0] + real_dtype, complex_dtype = dtypes + + spectrum = _rfft_centered_image( + xp=xp, + image=gal_prof, + real_dtype=real_dtype, + complex_dtype=complex_dtype, + ) + + if psf_obj is not None and psf_mode == "real": + start = time.time() if profile else None + psf_image = _draw_centered_psf( + xp=xp, + psf_obj=psf_obj, + n=n, + scale=scale, + dtype=real_dtype, ) - _log(f"total={perf_counter() - t_total:.4e}s") - return gal_prof + if profile: + sync_if_gpu(xp) + end = time.time() + print(f"Drawing and transferring PSF took {end - start:.3f} seconds") + + psf_spectrum = _rfft_centered_image( + xp=xp, + image=psf_image, + real_dtype=real_dtype, + complex_dtype=complex_dtype, + ) + + spectrum *= psf_spectrum + del psf_image, psf_spectrum + elif psf_obj is not None and psf_mode == "kvalue": + start = time.time() if profile else None + psf_spectrum = _sample_psf_spectrum( + psf_obj=psf_obj, + n=n, + fine_scale=scale, + complex_dtype=complex_dtype, + ) + + if profile: + end = time.time() + print(f"Sampling PSF spectrum took {end - start:.3f} seconds") + + start = time.time() if profile else None + psf_spectrum = xp.asarray(psf_spectrum, dtype=complex_dtype) + if profile: + sync_if_gpu(xp) + end = time.time() + target = "GPU" if xp is not np else "NumPy" + print(f"Transfer PSF spectrum to {target} took {end - start:.3f} seconds") + + spectrum *= psf_spectrum + del psf_spectrum + + elif psf_obj is not None: + raise ValueError( + f"Invalid psf_mode '{psf_mode}'; must be 'real' or 'kvalue'." + ) + + if draw_method == "auto": + _apply_pixel_response( + xp=xp, + spectrum=spectrum, + n=n, + fine_scale=scale, + pix_scale=pix_scale, + ) -def simulate_galaxy_batch( - ngrid, - pix_scale, - gal_obj_list, - transform_obj=None, - psf_obj=None, - truncate_ratio=1.0, - maximum_num_grids=4096, - draw_method="auto", - nproc=4, - force_ngrid=False, - profile=False + image = xp.fft.irfft2(spectrum, s=(n, n)) + del spectrum + + # Normalise flux based on target input flux + if target_flux is not None: + image *= target_flux / image.sum() + + coarse_image = _extract_centered_coarse_image( + xp=xp, + image=image, + downsample_ratio=downsample_ratio, + ) + del image + + return coarse_image + + +def simulate_galaxy( + gal_obj, + scale=None, + ngrid=None, + transform_obj=None, + psf_obj=None, + draw_method="auto", + safety=2.0, + max_supersample=32, + min_supersample=4, + integration_order=2, + max_fine_grid=4096, + pad=16, + precision="single", + backend=None, + profile=False, + pix_scale=None, + psf_mode="kvalue", + force_input_flux=True ): + """ + Simulate a galaxy image on a pixel grid. + On failure, CuPy memory pools are cleared and a short exception is raised + without retaining the large simulation frame in notebook tracebacks. """ - The function samples the surface density field of a galaxy at the grids + clean_error = None + cleanup_backend = None + result = None - Args: + try: + result = _simulate_galaxy_impl( + gal_obj=gal_obj, + scale=scale, + ngrid=ngrid, + transform_obj=transform_obj, + psf_obj=psf_obj, + draw_method=draw_method, + safety=safety, + max_supersample=max_supersample, + min_supersample=min_supersample, + integration_order=integration_order, + max_fine_grid=max_fine_grid, + pad=pad, + precision=precision, + backend=backend, + profile=profile, + pix_scale=pix_scale, + psf_mode=psf_mode, + force_input_flux=force_input_flux + ) + except Exception as exc: + err_type = type(exc).__name__ + err_msg = str(exc) + + try: + cleanup_backend = _resolve_array_backend(backend) + except Exception: + pass + + clean_error = ( + f"simulate_galaxy failed cleanly after releasing backend memory " + f"({err_type}: {err_msg})" + ) - ngrid (int): number of grids - pix_scale (float): pixel scale - gal_obj_list (list): List of Galsim galaxy objects to sample on the grids - transform_obj : Coordinate transform object - psf_obj (galsim): Galsim PSF object to smear the image - truncate_ratio (float): truncate at truncate_ratio times good_image_size - maximum_num_grids (int): maximum number of grids for simulation in real space - draw_method (str): method to draw the galaxy image, "auto" will convolve with - pixel response, "no_pixel" is as it implies - nproc (int): Number of processors to use for multiprocessing. Default is 4 - profile (bool): If True, enable per-galaxy profiling logs in workers + try: + cleanup_backend = _resolve_array_backend(backend) + except Exception: + cleanup_backend = None + + if cleanup_backend is not None: + _release_backend_memory(cleanup_backend) + + if clean_error is not None: + raise RuntimeError(clean_error) from None + + return result + + +def _simulate_galaxy_impl( + gal_obj, + scale=None, + ngrid=None, + transform_obj=None, + psf_obj=None, + draw_method="auto", + safety=2.0, + max_supersample=32, + min_supersample=4, + integration_order=2, + max_fine_grid=4096, + pad=16, + precision="single", + backend=None, + profile=False, + pix_scale=None, + psf_mode="kvalue", + force_input_flux=False +): """ + Simulate a galaxy image on a pixel grid. + + The requested output ngrid controls only the final crop. The internal + simulation grid is chosen from the galaxy/PSF support so that changing + ngrid does not change the high-resolution simulation footprint. + """ + if scale is None: + if pix_scale is None: + raise TypeError("simulate_galaxy requires scale or pix_scale.") + scale = pix_scale + elif pix_scale is not None and not np.isclose(scale, pix_scale): + raise ValueError("scale and pix_scale were both supplied with different values.") - original_omp_num_threads = os.environ.get('OMP_NUM_THREADS', None) - os.environ['OMP_NUM_THREADS'] = '1' + if psf_mode not in ("real", "kvalue"): + raise ValueError( + f"Invalid psf_mode '{psf_mode}'; must be 'real' or 'kvalue'." + ) + + if draw_method not in ("auto", "no_pixel"): + raise ValueError( + f"Invalid draw_method '{draw_method}'; must be 'auto' or 'no_pixel'." + ) - mp.set_start_method('spawn', force=True) + xp = _resolve_array_backend(backend) - with mp.Pool(nproc) as p: + dtypes = _precision_dtypes(xp, precision) + real_dtype, _ = dtypes - args_list = [ - ( - ngrid, - pix_scale, - gal_obj, - transform_obj, - psf_obj, - truncate_ratio, - maximum_num_grids, - draw_method, - force_ngrid, - 0.0, - 0.0, - profile - ) for gal_obj in gal_obj_list - ] + sim_ngrid = _resolve_simulation_ngrid(gal_obj, psf_obj, scale) + output_ngrid = sim_ngrid if ngrid is None else int(ngrid) - outcome = p.starmap(simulate_galaxy, args_list) + target_flux = gal_obj.flux if force_input_flux else None + + supersample = _determine_supersampling( + gal_obj, + scale, + integration_order, + safety=safety, + max_supersample=max_supersample, + min_supersample=min_supersample + ) - if original_omp_num_threads is None: - del os.environ['OMP_NUM_THREADS'] + requested_supersample = supersample + fft_supersample, integration_order = _resolve_integration_sampling( + supersample=requested_supersample, + integration_order=integration_order, + ) + + grid = _make_fine_grid( + gal_obj=gal_obj, + scale=scale, + sim_ngrid=sim_ngrid, + supersample=fft_supersample, + pad=pad, + max_fine_grid=max_fine_grid, + ) + + # Check if supersampling is too aggresive + while grid.fine_compact / max_fine_grid > 4: + fft_supersample = fft_supersample // 2 + grid = _make_fine_grid( + gal_obj=gal_obj, + scale=scale, + sim_ngrid=sim_ngrid, + supersample=fft_supersample, + pad=pad, + max_fine_grid=max_fine_grid, + ) + + if profile: + print( + "Grid sizing: " + f"sim_ngrid={sim_ngrid}, supersample={requested_supersample}, " + f"integration_order={integration_order}, " + f"fft_supersample={fft_supersample}, " + f"fine_ngrid={grid.fine_ngrid}, fine_compact={grid.fine_compact}, " + f"max_fine_grid={max_fine_grid}" + ) + + if profile: + sync_if_gpu(xp) + start = time.time() + + stamp = Stamp( + nn=grid.fine_ngrid, + scale=grid.fine_scale, + backend=xp, + dtype=real_dtype + ) + + if profile: + sync_if_gpu(xp) + end = time.time() + print(f"Stamp construction took {end - start:.3f} seconds") + + gal_prof = _sample_galaxy_profile_on_stamp( + gal_obj=gal_obj, + stamp=stamp, + transform_obj=transform_obj, + fine_scale=grid.fine_scale, + real_dtype=real_dtype, + xp=xp, + integration_order=integration_order, + profile=profile, + ) + del stamp + + if profile: + sync_if_gpu(xp) + start = time.time() + + if psf_obj is not None or draw_method == "auto": + sim_image = _convolve_psf_fft( + xp=xp, + gal_prof=gal_prof, + target_flux=target_flux, + scale=grid.fine_scale, + pix_scale=scale, + psf_obj=psf_obj, + downsample_ratio=fft_supersample, + draw_method=draw_method, + dtypes=dtypes, + psf_mode=psf_mode, + profile=profile, + ) + del gal_prof else: - os.environ['OMP_NUM_THREADS'] = original_omp_num_threads + # Match the convention used by the convolution path: + # extract the centred coarse image from the fine sampled image. + sim_image = _extract_centered_coarse_image( + xp=xp, + image=gal_prof, + downsample_ratio=fft_supersample, + ) + del gal_prof + + if profile: + sync_if_gpu(xp) + end = time.time() + print(f"FFT and convolution took {end - start:.3f} seconds") + + sim_image = _center_crop_or_pad(sim_image, (output_ngrid, output_ngrid)) + + return sim_image + - return outcome \ No newline at end of file +def sync_if_gpu(xp): + if xp is not np: + xp.cuda.Stream.null.synchronize() diff --git a/src/batsim/stamp.py b/src/batsim/stamp.py index eeda067..6afb94e 100644 --- a/src/batsim/stamp.py +++ b/src/batsim/stamp.py @@ -1,28 +1,115 @@ +import warnings + import numpy as np -class Stamp(object): - def __init__(self, nn: int = 32, scale: float = 0.2): - """Initialize the 2D stamp object. This class enables distorting - an image by changing the samplinng position with non-affine - transformation +_ARRAY_BACKEND = None +_CPU_FALLBACK_WARNED = False + + +def _get_array_backend(): + """ + Return CuPy if available, otherwise NumPy. + + This mirrors the backend-selection behaviour used in the simulation code. + """ + global _ARRAY_BACKEND + global _CPU_FALLBACK_WARNED + + if _ARRAY_BACKEND is not None: + return _ARRAY_BACKEND + + try: + import cupy as cp + + cp.cuda.runtime.getDeviceCount() + _ARRAY_BACKEND = cp + except Exception: + if not _CPU_FALLBACK_WARNED: + warnings.warn( + "CuPy unavailable; falling back to NumPy stamp coordinates.", + RuntimeWarning, + stacklevel=2, + ) + _CPU_FALLBACK_WARNED = True + _ARRAY_BACKEND = np - Args: - nn (int): number of grids on x and y direction - scale (float): pixel scale in units of arcsec + return _ARRAY_BACKEND + + +class Stamp: + """ + 2D coordinate stamp for sampling galaxy profiles. + + If CuPy is available, coordinates are created directly on the GPU. + Otherwise, NumPy is used. + """ + + def __init__( + self, + nn: int = 32, + scale: float = 0.2, + backend=None, + dtype=None, + ): + """ + Parameters + ---------- + nn : int + Number of grid points in x and y. + scale : float + Pixel scale in arcsec. + backend : module, optional + Array backend, e.g. numpy or cupy. If None, auto-detect. + dtype : dtype, optional + Coordinate dtype. Defaults to float32 for CuPy, float64 for NumPy. """ - # Set up the grids + self.xp = _get_array_backend() if backend is None else backend + + if dtype is None: + dtype = self.xp.float32 if self.xp is not np else np.float64 + + self.dtype = dtype self.set_coords(nn, scale) - return def set_coords(self, nn, scale): - indx = np.arange(-int(nn / 2), int((nn + 1) / 2), 1) * scale - indy = np.arange(-int(nn / 2), int((nn + 1) / 2), 1) * scale - inds = np.meshgrid(indy, indx, indexing="ij") - # coords in shape of (2, npoints), in order of [x, y] - self.coords = np.vstack([np.ravel(_) for _ in inds[::-1]]) + """ + Construct coordinates with shape (2, nn*nn), ordered as [x, y]. + """ + nn = int(nn) + scale = float(scale) + + xp = self.xp + + ind = xp.arange( + -(nn // 2), + (nn + 1) // 2, + dtype=self.dtype, + ) * scale + + yy, xx = xp.meshgrid(ind, ind, indexing="ij") + + self.coords = xp.stack( + [ + xx.ravel(), + yy.ravel(), + ], + axis=0, + ) + self.scale = scale - self.pixel_area = self.scale**2.0 + self.pixel_area = scale**2 self.shape = (nn, nn) self.nn = nn - return + + def to_numpy(self): + """ + Return coordinates as NumPy array. + + Useful when passing coordinates to CPU-only code such as a C++/GalSim + sampling backend. + """ + if self.xp is np: + return self.coords + + return self.xp.asnumpy(self.coords) diff --git a/src/batsim/transforms.py b/src/batsim/transforms.py index 2f9b03f..77ecc8f 100644 --- a/src/batsim/transforms.py +++ b/src/batsim/transforms.py @@ -1,8 +1,57 @@ import warnings -import galsim import numpy as np -from time import perf_counter + + +_ARRAY_BACKEND = None +_CPU_FALLBACK_WARNED = False + + +def _coords_backend(coords): + """Return the array backend for a coordinate array.""" + module = type(coords).__module__.split(".", 1)[0] + if module == "cupy": + import cupy as cp + + return cp + + return np + + +def _coords_dtype(coords): + """Return a floating dtype matching coords.""" + return getattr(coords, "dtype", None) + + +def _get_array_backend(): + """ + Return CuPy if available, otherwise NumPy. + + This mirrors the backend-selection behaviour used in the simulation code. + """ + global _ARRAY_BACKEND + global _CPU_FALLBACK_WARNED + + if _ARRAY_BACKEND is not None: + return _ARRAY_BACKEND + + try: + import cupy as cp + + cp.cuda.runtime.getDeviceCount() + _ARRAY_BACKEND = cp + except Exception: + if not _CPU_FALLBACK_WARNED: + warnings.warn( + "CuPy unavailable; falling back to NumPy stamp coordinates.", + RuntimeWarning, + stacklevel=2, + ) + _CPU_FALLBACK_WARNED = True + _ARRAY_BACKEND = np + + return _ARRAY_BACKEND + class FlexionTransform(object): @@ -38,8 +87,14 @@ def transform(self, coords): Args: coords: coordinates (x, y) of the pixel centers [arcsec] """ - return self.s2l_mat @ coords + np.einsum( - "ijk,jl,kl->il", self.D, coords, coords + xp = _coords_backend(coords) + dtype = _coords_dtype(coords) + coords = xp.asarray(coords) + s2l_mat = xp.asarray(self.s2l_mat, dtype=dtype) + d_tensor = xp.asarray(self.D, dtype=dtype) + + return s2l_mat @ coords + xp.einsum( + "ijk,jl,kl->il", d_tensor, coords, coords ) def inverse_transform(self, coords): @@ -48,17 +103,23 @@ def inverse_transform(self, coords): here: https://github.com/garyang3/Notes/blob/main/Flexion_inverse_transform.pdf """ - theta_0 = np.einsum("ij,jk", self.s2l_mat_inv, coords) + xp = _coords_backend(coords) + dtype = _coords_dtype(coords) + coords = xp.asarray(coords) + s2l_mat_inv = xp.asarray(self.s2l_mat_inv, dtype=dtype) + d_tensor = xp.asarray(self.D, dtype=dtype) + + theta_0 = xp.einsum("ij,jk", s2l_mat_inv, coords) theta_1 = ( -1 / 2 - * np.einsum( + * xp.einsum( "in,ijk,jl,lo,km,mo->no", - self.s2l_mat_inv, - self.D, - self.s2l_mat_inv, + s2l_mat_inv, + d_tensor, + s2l_mat_inv, coords, - self.s2l_mat_inv, + s2l_mat_inv, coords, ) ) @@ -124,7 +185,12 @@ def transform(self, coords): value depending on its distance from the center of the image. """ - npix = np.sqrt(len(coords[0])) + xp = _coords_backend(coords) + dtype = _coords_dtype(coords) + coords = xp.asarray(coords) + ref_vec = xp.asarray(self.ref_vec, dtype=dtype) + + npix = xp.sqrt(len(coords[0])) # if size_ratio < 2.5: # warnings.simplefilter("always") @@ -135,7 +201,7 @@ def transform(self, coords): # warnings.warn(warning_message) # unpack x and y coordinates - coords_relative = coords - self.ref_vec + coords_relative = coords - ref_vec x, y = coords_relative @@ -145,9 +211,9 @@ def transform(self, coords): x_prime = (1 - g1) * x - g2 * y y_prime = (1 + g1) * y - g2 * x - coords_realtive_transformed = np.array([x_prime, y_prime]) + coords_realtive_transformed = xp.stack([x_prime, y_prime], axis=0) - return coords_realtive_transformed + self.ref_vec + return coords_realtive_transformed + ref_vec def get_g1g2(self, x, y): """ @@ -155,28 +221,34 @@ def get_g1g2(self, x, y): gets the g1 and g2 components to construct the shear matrix. """ + xp = _coords_backend(x) + dtype = _coords_dtype(x) + hlr = xp.asarray(self.hlr, dtype=dtype) + amp = xp.asarray(self.A, dtype=dtype) + c2phi = xp.asarray(self.c2phi, dtype=dtype) + s2phi = xp.asarray(self.s2phi, dtype=dtype) # find distance from image center as ratio to hlr - radial_dist = np.sqrt(abs(x) ** 2 + abs(y) ** 2) - rwf = (radial_dist) / self.hlr + radial_dist = xp.sqrt(abs(x) ** 2 + abs(y) ** 2) + rwf = radial_dist / hlr # fix shear beyond rfw >= clip_radius - rwf = np.clip(rwf, 0, self.clip_radius) + rwf = xp.clip(rwf, 0, self.clip_radius) # compute alignment amplitude at radius - A_rwf = self.A * rwf**self.beta + A_rwf = amp * rwf**self.beta absesq = A_rwf * A_rwf - if np.any(absesq > 1): + if bool(xp.any(absesq > 1)): raise ValueError( - "Requested distortion exceeds 1.", np.sqrt(absesq), 0.0, 1.0 + "Requested distortion exceeds 1.", xp.sqrt(absesq), 0.0, 1.0 ) # factor to convert e1, e2 to g1, g2 fac = self.e2g(absesq) - g1 = A_rwf * self.c2phi * fac - g2 = A_rwf * self.s2phi * fac + g1 = A_rwf * c2phi * fac + g2 = A_rwf * s2phi * fac # return real (g1) and imaginary (g2) components return g1, g2 @@ -184,13 +256,15 @@ def get_g1g2(self, x, y): # conversion used in galsim source code # modified to use binary arrays to speed up condition checking def e2g(self, absesq): - if type(absesq) == np.ndarray: + xp = _coords_backend(absesq) + + if hasattr(absesq, "shape"): # if absesq is big enough to use the simple calculation, and a # 0 if the Taylor expansion is needed for stability. # if there are values greater than 1, continue with a deeper drill stable = absesq > 1e-4 # unstable values set to False, stable values included - e2g = stable * (1.0 / (1.0 + np.sqrt(1.0 - absesq))) + e2g = stable * (1.0 / (1.0 + xp.sqrt(1.0 - absesq))) # now we invert to have unstable values as True unstable = absesq <= 1e-4 # we add the unstable values to the array now, with the stable set to zero @@ -209,33 +283,107 @@ def e2g(self, absesq): return 0.5 + absesq * (0.125 + absesq * (0.0625 + absesq * 0.0390625)) -class LensTransform(object): - def __init__(self, gamma1, gamma2, kappa, center=None): +class LensTransform: + """ + Affine lensing transform supporting either NumPy or CuPy arrays. + + If CuPy is available and the input coordinates are CuPy arrays, the + transform runs natively on GPU. + """ + + def __init__( + self, + gamma1, + gamma2, + kappa, + center=None, + backend=None, + dtype=None, + ): """ - Initialize the transform object of 2D grids. - Args: - gamma1 (float): the first component of lensing shear field - gamma2 (float): the second component of lensing shear field - kappa (float): the lensing convergence field - xref (float): reference coordinate x [in units of pixels] - xref (float): reference coordinate y [in units of pixels] + Parameters + ---------- + gamma1, gamma2 : float + Components of lensing shear. + kappa : float + Lensing convergence. + center : sequence of float, optional + Reference coordinate [x, y]. + backend : module, optional + NumPy or CuPy. If None, auto-detect. + dtype : dtype, optional + Floating dtype for transform arrays. """ + self.xp = _get_array_backend() if backend is None else backend - if center == None: - center = [0, 0] + if dtype is None: + dtype = self.xp.float64 - self.ref_vec = np.array([[center[0]], [center[1]]]) - self.s2l_mat = np.array( - [[1 - kappa - gamma1, -gamma2], [-gamma2, 1 - kappa + gamma1]] + if center is None: + center = [0.0, 0.0] + + self.dtype = dtype + + self.ref_vec = self.xp.asarray( + [[center[0]], [center[1]]], + dtype=self.dtype, + ) + + self.s2l_mat = self.xp.asarray( + [ + [1.0 - kappa - gamma1, -gamma2], + [-gamma2, 1.0 - kappa + gamma1], + ], + dtype=self.dtype, ) - return def transform(self, coords): """ - Transform the center of pixels from lensed plane to - pre-lensed plane. - Args: - coords: coordinates (x, y) of the pixel centers [arcsec] + Transform pixel-centre coordinates from lensed plane to pre-lensed plane. + + Parameters + ---------- + coords : array-like + Coordinate array with shape (2, npoints). Can be NumPy or CuPy. + + Returns + ------- + array-like + Transformed coordinates using the configured backend. + """ + coords = self.xp.asarray(coords) + dtype = _coords_dtype(coords) + + ref_vec = self.xp.asarray(self.ref_vec, dtype=dtype) + s2l_mat = self.xp.asarray(self.s2l_mat, dtype=dtype) + + coords_relative = coords - ref_vec + return s2l_mat @ coords_relative + ref_vec + + def to_backend(self, backend=None, dtype=None): + """ + Return a copy of this transform on another backend/dtype. """ - coords_relative = coords - self.ref_vec - return self.s2l_mat @ coords_relative + self.ref_vec + xp = _get_array_backend() if backend is None else backend + + if dtype is None: + dtype = self.dtype + + ref_vec = self._to_numpy(self.ref_vec) + s2l_mat = self._to_numpy(self.s2l_mat) + + new = object.__new__(LensTransform) + new.xp = xp + new.dtype = dtype + new.ref_vec = xp.asarray(ref_vec, dtype=dtype) + new.s2l_mat = xp.asarray(s2l_mat, dtype=dtype) + + return new + + @staticmethod + def _to_numpy(array): + """Convert NumPy/CuPy array to NumPy.""" + if isinstance(array, np.ndarray): + return array + + return array.get() diff --git a/src/batsim_install_gpu.py b/src/batsim_install_gpu.py new file mode 100644 index 0000000..7c6492a --- /dev/null +++ b/src/batsim_install_gpu.py @@ -0,0 +1,157 @@ +import argparse +import json +import os +import re +import shlex +import subprocess +import sys +from pathlib import Path + + +CUPY_SPECS = { + 12: "cupy-cuda12x>=13.6,<14", + 13: "cupy-cuda13x>=13.6,<14", +} +NUMPY_SPEC = "numpy>=1.26,<2.0" + + +def _parse_cuda_major(version): + if version is None: + return None + match = re.search(r"(\d+)(?:\.\d+)?", str(version)) + if match is None: + return None + return int(match.group(1)) + + +def _run_command(args): + try: + return subprocess.run( + args, + check=False, + capture_output=True, + text=True, + ) + except OSError: + return None + + +def _detect_from_env(): + for name in ("BAT_SIM_CUDA_VERSION", "CUDA_VERSION"): + major = _parse_cuda_major(os.environ.get(name)) + if major is not None: + return major, name + return None, None + + +def _detect_from_nvcc(): + result = _run_command(["nvcc", "--version"]) + if result is None or result.returncode != 0: + return None, None + match = re.search(r"release\s+(\d+)(?:\.\d+)?", result.stdout) + if match is None: + return None, None + return int(match.group(1)), "nvcc" + + +def _detect_from_nvidia_smi(): + result = _run_command(["nvidia-smi"]) + if result is None or result.returncode != 0: + return None, None + match = re.search(r"CUDA Version:\s*(\d+)(?:\.\d+)?", result.stdout) + if match is None: + return None, None + return int(match.group(1)), "nvidia-smi" + + +def _detect_from_cuda_files(): + cuda_root = Path(os.environ.get("CUDA_HOME") or os.environ.get("CUDA_PATH") or "/usr/local/cuda") + version_json = cuda_root / "version.json" + if version_json.exists(): + try: + data = json.loads(version_json.read_text()) + major = _parse_cuda_major(data.get("cuda", {}).get("version")) + if major is not None: + return major, str(version_json) + except (OSError, json.JSONDecodeError): + pass + + version_txt = cuda_root / "version.txt" + if version_txt.exists(): + try: + major = _parse_cuda_major(version_txt.read_text()) + if major is not None: + return major, str(version_txt) + except OSError: + pass + + return None, None + + +def detect_cuda_major(): + for detector in ( + _detect_from_env, + _detect_from_nvcc, + _detect_from_nvidia_smi, + _detect_from_cuda_files, + ): + major, source = detector() + if major is not None: + return major, source + return None, None + + +def cupy_spec_for_cuda(cuda_major): + return CUPY_SPECS.get(cuda_major) + + +def main(argv=None): + parser = argparse.ArgumentParser( + description="Install the CuPy wheel matching the detected CUDA major version." + ) + parser.add_argument( + "--cuda", + choices=("12", "13"), + help="Override CUDA detection with an explicit CUDA major version.", + ) + parser.add_argument( + "--dry-run", + action="store_true", + help="Print the pip command without running it.", + ) + args = parser.parse_args(argv) + + if args.cuda: + cuda_major = int(args.cuda) + source = "--cuda" + else: + cuda_major, source = detect_cuda_major() + + spec = cupy_spec_for_cuda(cuda_major) + if spec is None: + supported = ", ".join(str(version) for version in sorted(CUPY_SPECS)) + detected = "unknown" if cuda_major is None else str(cuda_major) + print( + f"Could not select a CuPy package for CUDA {detected}. " + f"Supported CUDA major versions: {supported}.", + file=sys.stderr, + ) + print( + "Set BAT_SIM_CUDA_VERSION=12 or BAT_SIM_CUDA_VERSION=13, " + "or pass --cuda 12/13 to override detection.", + file=sys.stderr, + ) + return 1 + + command = [sys.executable, "-m", "pip", "install", NUMPY_SPEC, spec] + print(f"Detected CUDA {cuda_major} from {source}; selected {spec}") + print("Running: " + shlex.join(command)) + + if args.dry_run: + return 0 + + return subprocess.call(command) + + +if __name__ == "__main__": + raise SystemExit(main()) From 2c50ba008fe02cc81fe47d979e8babf0f4d72f66 Mon Sep 17 00:00:00 2001 From: CMacM Date: Thu, 4 Jun 2026 14:37:51 +0100 Subject: [PATCH 2/9] Fixed centering bug (again) and optimsied supersampling and grid size for block integration --- notebooks/dev/charlie.png | Bin 43103 -> 38895 bytes notebooks/dev/cupy-test-rendering.ipynb | 508 ++------ notebooks/dev/test_block_integration.ipynb | 221 ++++ notebooks/validation/fpfs_catalog_tile_51.pkl | Bin 0 -> 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TH;$RK7}S)vY=~XI>(u`NUk&C! diff --git a/notebooks/dev/cupy-test-rendering.ipynb b/notebooks/dev/cupy-test-rendering.ipynb index fadcdb5..118c837 100644 --- a/notebooks/dev/cupy-test-rendering.ipynb +++ b/notebooks/dev/cupy-test-rendering.ipynb @@ -7,10 +7,36 @@ "metadata": {}, "outputs": [ { - "name": "stdout", + "name": "stderr", "output_type": "stream", "text": [ - "True\n" + "/home/b7009348/miniconda3/envs/batsim-gpu/lib/python3.10/site-packages/cupy/_environment.py:596: UserWarning: \n", + "--------------------------------------------------------------------------------\n", + "\n", + " CuPy may not function correctly because multiple CuPy packages are installed\n", + " in your environment:\n", + "\n", + " cupy, cupy-cuda13x\n", + "\n", + " Follow these steps to resolve this issue:\n", + "\n", + " 1. For all packages listed above, run the following command to remove all\n", + " existing CuPy installations:\n", + "\n", + " $ pip uninstall \n", + "\n", + " If you previously installed CuPy via conda, also run the following:\n", + "\n", + " $ conda uninstall cupy\n", + "\n", + " 2. Install the appropriate CuPy package.\n", + " Refer to the Installation Guide for detailed instructions.\n", + "\n", + " https://docs.cupy.dev/en/stable/install.html\n", + "\n", + "--------------------------------------------------------------------------------\n", + "\n", + " warnings.warn(f'''\n" ] } ], @@ -25,7 +51,7 @@ "from time import time\n", "from tqdm import tqdm\n", "\n", - "print(cp.cuda.is_available())" + "#print(cp.cuda.is_available())" ] }, { @@ -64,34 +90,45 @@ "name": "stdout", "output_type": "stream", "text": [ - "1792 0.0125\n", - "1212\n", - "Draw time: 0.2490 seconds\n", - "FFT time: 0.0538 seconds\n", - "Conv time: 0.0048 seconds\n", - "GalSim draw time: 0.2010 seconds\n", - "Mode: with pixel\n", - "Supersample: 16\n", - "GalSim flux: 0.99672514\n", - "FFT flux: 3.40918083\n", - "Max abs residual: 1.318e-01\n", - "Max abs residual as % of max flux: 388.262%\n" + "14336 0.0015625\n", + "9692\n" ] }, { - "data": { - "image/png": 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" - ] - }, - "metadata": {}, - "output_type": "display_data" + "name": "stderr", + "output_type": "stream", + "text": [ + "/home/b7009348/FPFS-project/BATSim/src/batsim/stamp.py:75: RuntimeWarning: CuPy unavailable; falling back to NumPy stamp coordinates.\n", + " self.xp = _get_array_backend() if backend is None else backend\n" + ] + }, + { + "ename": "CUDARuntimeError", + "evalue": "cudaErrorInsufficientDriver: CUDA driver version is insufficient for CUDA runtime version", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mCUDARuntimeError\u001b[0m Traceback (most recent call last)", + "Cell \u001b[0;32mIn[3], line 45\u001b[0m\n\u001b[1;32m 37\u001b[0m \u001b[38;5;66;03m# Draw the pixel if requested.\u001b[39;00m\n\u001b[1;32m 38\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m use_pixel:\n\u001b[1;32m 39\u001b[0m \u001b[38;5;66;03m# Draw the pixel directly in Fourier space, rather than use fft2.\u001b[39;00m\n\u001b[1;32m 40\u001b[0m \u001b[38;5;66;03m# The direct fft doesn't work especially well with only a single non-zero pixel.\u001b[39;00m\n\u001b[1;32m 41\u001b[0m \u001b[38;5;66;03m# (Nor even when supersampling to sxs pixels.)\u001b[39;00m\n\u001b[1;32m 42\u001b[0m \u001b[38;5;66;03m# pix_fft = galsim.Pixel(scale).drawKImage(nx=fine_fft_size, ny=fine_fft_size, scale=dk).array\u001b[39;00m\n\u001b[1;32m 43\u001b[0m \u001b[38;5;66;03m# pix_fft = cp.asarray(pix_fft)\u001b[39;00m\n\u001b[0;32m---> 45\u001b[0m pix_fft \u001b[38;5;241m=\u001b[39m \u001b[43mpixel_fft_gpu_shifted\u001b[49m\u001b[43m(\u001b[49m\n\u001b[1;32m 46\u001b[0m \u001b[43m \u001b[49m\u001b[43mn\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mfine_fft_size\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 47\u001b[0m \u001b[43m \u001b[49m\u001b[43mfine_scale\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mfine_scale\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 48\u001b[0m \u001b[43m \u001b[49m\u001b[43mpixel_scale\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mscale\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 49\u001b[0m \u001b[43m \u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 50\u001b[0m end \u001b[38;5;241m=\u001b[39m time()\n\u001b[1;32m 51\u001b[0m \u001b[38;5;28mprint\u001b[39m(\u001b[38;5;124mf\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mDraw time: \u001b[39m\u001b[38;5;132;01m{\u001b[39;00mend\u001b[38;5;250m \u001b[39m\u001b[38;5;241m-\u001b[39m\u001b[38;5;250m \u001b[39mstart\u001b[38;5;132;01m:\u001b[39;00m\u001b[38;5;124m.4f\u001b[39m\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m seconds\u001b[39m\u001b[38;5;124m\"\u001b[39m)\n", + "Cell \u001b[0;32mIn[2], line 10\u001b[0m, in \u001b[0;36mpixel_fft_gpu_shifted\u001b[0;34m(n, fine_scale, pixel_scale)\u001b[0m\n\u001b[1;32m 9\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mpixel_fft_gpu_shifted\u001b[39m(n, fine_scale, pixel_scale):\n\u001b[0;32m---> 10\u001b[0m kfreq \u001b[38;5;241m=\u001b[39m \u001b[38;5;241m2\u001b[39m \u001b[38;5;241m*\u001b[39m cp\u001b[38;5;241m.\u001b[39mpi \u001b[38;5;241m*\u001b[39m cp\u001b[38;5;241m.\u001b[39mfft\u001b[38;5;241m.\u001b[39mfftshift(\u001b[43mcp\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mfft\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mfftfreq\u001b[49m\u001b[43m(\u001b[49m\u001b[43mn\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43md\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mfine_scale\u001b[49m\u001b[43m)\u001b[49m)\n\u001b[1;32m 11\u001b[0m ky, kx \u001b[38;5;241m=\u001b[39m cp\u001b[38;5;241m.\u001b[39mmeshgrid(kfreq, kfreq, indexing\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mij\u001b[39m\u001b[38;5;124m\"\u001b[39m)\n\u001b[1;32m 13\u001b[0m pix_fft \u001b[38;5;241m=\u001b[39m cp\u001b[38;5;241m.\u001b[39msinc(kx \u001b[38;5;241m*\u001b[39m pixel_scale \u001b[38;5;241m/\u001b[39m (\u001b[38;5;241m2\u001b[39m \u001b[38;5;241m*\u001b[39m cp\u001b[38;5;241m.\u001b[39mpi))\n", + "File \u001b[0;32m~/miniconda3/envs/batsim-gpu/lib/python3.10/site-packages/cupy/fft/_fft.py:1065\u001b[0m, in \u001b[0;36mfftfreq\u001b[0;34m(n, d)\u001b[0m\n\u001b[1;32m 1053\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mfftfreq\u001b[39m(n, d\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m1.0\u001b[39m):\n\u001b[1;32m 1054\u001b[0m \u001b[38;5;250m \u001b[39m\u001b[38;5;124;03m\"\"\"Return the FFT sample frequencies.\u001b[39;00m\n\u001b[1;32m 1055\u001b[0m \n\u001b[1;32m 1056\u001b[0m \u001b[38;5;124;03m Args:\u001b[39;00m\n\u001b[0;32m (...)\u001b[0m\n\u001b[1;32m 1063\u001b[0m \u001b[38;5;124;03m .. seealso:: :func:`numpy.fft.fftfreq`\u001b[39;00m\n\u001b[1;32m 1064\u001b[0m \u001b[38;5;124;03m \"\"\"\u001b[39;00m\n\u001b[0;32m-> 1065\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m cupy\u001b[38;5;241m.\u001b[39mhstack((\u001b[43mcupy\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43marange\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m0\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43m(\u001b[49m\u001b[43mn\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m-\u001b[39;49m\u001b[43m \u001b[49m\u001b[38;5;241;43m1\u001b[39;49m\u001b[43m)\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m/\u001b[39;49m\u001b[38;5;241;43m/\u001b[39;49m\u001b[43m \u001b[49m\u001b[38;5;241;43m2\u001b[39;49m\u001b[43m \u001b[49m\u001b[38;5;241;43m+\u001b[39;49m\u001b[43m \u001b[49m\u001b[38;5;241;43m1\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mdtype\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mnp\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mfloat64\u001b[49m\u001b[43m)\u001b[49m,\n\u001b[1;32m 1066\u001b[0m cupy\u001b[38;5;241m.\u001b[39marange(\u001b[38;5;241m-\u001b[39m(n \u001b[38;5;241m/\u001b[39m\u001b[38;5;241m/\u001b[39m \u001b[38;5;241m2\u001b[39m), \u001b[38;5;241m0\u001b[39m, dtype\u001b[38;5;241m=\u001b[39mnp\u001b[38;5;241m.\u001b[39mfloat64))) \u001b[38;5;241m/\u001b[39m (n \u001b[38;5;241m*\u001b[39m d)\n", + "File \u001b[0;32m~/miniconda3/envs/batsim-gpu/lib/python3.10/site-packages/cupy/_creation/ranges.py:58\u001b[0m, in \u001b[0;36marange\u001b[0;34m(start, stop, step, dtype)\u001b[0m\n\u001b[1;32m 55\u001b[0m \u001b[38;5;28;01melse\u001b[39;00m:\n\u001b[1;32m 56\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m cupy\u001b[38;5;241m.\u001b[39marray([start], dtype\u001b[38;5;241m=\u001b[39mnumpy\u001b[38;5;241m.\u001b[39mbool_)\n\u001b[0;32m---> 58\u001b[0m ret \u001b[38;5;241m=\u001b[39m \u001b[43mcupy\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mempty\u001b[49m\u001b[43m(\u001b[49m\u001b[43m(\u001b[49m\u001b[43msize\u001b[49m\u001b[43m,\u001b[49m\u001b[43m)\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mdtype\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mdtype\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 59\u001b[0m typ \u001b[38;5;241m=\u001b[39m numpy\u001b[38;5;241m.\u001b[39mdtype(dtype)\u001b[38;5;241m.\u001b[39mtype\n\u001b[1;32m 60\u001b[0m _arange_ufunc(typ(start), typ(step), ret, dtype\u001b[38;5;241m=\u001b[39mdtype)\n", + "File \u001b[0;32m~/miniconda3/envs/batsim-gpu/lib/python3.10/site-packages/cupy/_creation/basic.py:32\u001b[0m, in \u001b[0;36mempty\u001b[0;34m(shape, dtype, order)\u001b[0m\n\u001b[1;32m 13\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mempty\u001b[39m(\n\u001b[1;32m 14\u001b[0m shape: _ShapeLike,\n\u001b[1;32m 15\u001b[0m dtype: DTypeLike \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mfloat\u001b[39m,\n\u001b[1;32m 16\u001b[0m order: _OrderCF \u001b[38;5;241m=\u001b[39m \u001b[38;5;124m'\u001b[39m\u001b[38;5;124mC\u001b[39m\u001b[38;5;124m'\u001b[39m,\n\u001b[1;32m 17\u001b[0m ) \u001b[38;5;241m-\u001b[39m\u001b[38;5;241m>\u001b[39m NDArray[Any]:\n\u001b[1;32m 18\u001b[0m \u001b[38;5;250m \u001b[39m\u001b[38;5;124;03m\"\"\"Returns an array without initializing the elements.\u001b[39;00m\n\u001b[1;32m 19\u001b[0m \n\u001b[1;32m 20\u001b[0m \u001b[38;5;124;03m Args:\u001b[39;00m\n\u001b[0;32m (...)\u001b[0m\n\u001b[1;32m 30\u001b[0m \n\u001b[1;32m 31\u001b[0m \u001b[38;5;124;03m \"\"\"\u001b[39;00m\n\u001b[0;32m---> 32\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43mcupy\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mndarray\u001b[49m\u001b[43m(\u001b[49m\u001b[43mshape\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mdtype\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43morder\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43morder\u001b[49m\u001b[43m)\u001b[49m\n", + "File \u001b[0;32mcupy/_core/core.pyx:167\u001b[0m, in \u001b[0;36mcupy._core.core.ndarray.__new__\u001b[0;34m()\u001b[0m\n", + "File \u001b[0;32mcupy/_core/core.pyx:254\u001b[0m, in \u001b[0;36mcupy._core.core._ndarray_base._init\u001b[0;34m()\u001b[0m\n", + "File \u001b[0;32mcupy/cuda/memory.pyx:875\u001b[0m, in \u001b[0;36mcupy.cuda.memory.alloc\u001b[0;34m()\u001b[0m\n", + "File \u001b[0;32mcupy/cuda/memory.pyx:1579\u001b[0m, in \u001b[0;36mcupy.cuda.memory.MemoryPool.malloc\u001b[0;34m()\u001b[0m\n", + "File \u001b[0;32mcupy/cuda/memory.pyx:1599\u001b[0m, in \u001b[0;36mcupy.cuda.memory.MemoryPool.malloc\u001b[0;34m()\u001b[0m\n", + "File \u001b[0;32mcupy/cuda/device.pyx:40\u001b[0m, in \u001b[0;36mcupy.cuda.device.get_device_id\u001b[0;34m()\u001b[0m\n", + "File \u001b[0;32mcupy_backends/cuda/api/runtime.pyx:202\u001b[0m, in \u001b[0;36mcupy_backends.cuda.api.runtime.getDevice\u001b[0;34m()\u001b[0m\n", + "File \u001b[0;32mcupy_backends/cuda/api/runtime.pyx:146\u001b[0m, in \u001b[0;36mcupy_backends.cuda.api.runtime.check_status\u001b[0;34m()\u001b[0m\n", + "\u001b[0;31mCUDARuntimeError\u001b[0m: cudaErrorInsufficientDriver: CUDA driver version is insufficient for CUDA runtime version" + ] } ], "source": [ "use_pixel = True # Whether to include the pixel response\n", - "supersample = 16 # Super-sample grid size for direct FFT approach\n", + "supersample = 128 # Super-sample grid size for direct FFT approach\n", "pad = 16 # Extra padding around image to ignore distant flux from FFTs\n", "scale = 0.2 # Pixel scale of the output image\n", "\n", @@ -120,34 +157,12 @@ "coords = cp.asnumpy(coords).astype(np.float64)\n", "gal_im = batsim._gsinterface.getFluxVec(fine_scale, gal._sbp, coords)\n", "\n", - "# Compute symmetric padding\n", - "# pad_total = fine_fft_size - compact_size\n", - "# pad_before = pad_total // 2\n", - "# pad_after = pad_total - pad_before\n", - "\n", - "# gal_im = np.pad(\n", - "# gal_im,\n", - "# ((pad_before, pad_after), (pad_before, pad_after)),\n", - "# mode=\"constant\",\n", - "# )\n", - "\n", "# Draw the PSF either directly in k-space or in real space and then fft.\n", "# psf_fft = psf.drawKImage(nx=fine_fft_size, ny=fine_fft_size, scale=dk).array\n", "# psf_fft = cp.asarray(psf_fft)\n", "psf_compact = psf.getGoodImageSize(fine_scale)\n", "psf_im = psf.drawImage(nx=fine_fft_size, ny=fine_fft_size, scale=fine_scale, method=\"no_pixel\", use_true_center=False).array\n", "\n", - "# Compute symmetric padding\n", - "# pad_total = fine_fft_size - psf_compact\n", - "# pad_before = pad_total // 2\n", - "# pad_after = pad_total - pad_before\n", - "\n", - "# psf_im = np.pad(\n", - "# psf_im,\n", - "# ((pad_before, pad_after), (pad_before, pad_after)),\n", - "# mode=\"constant\",\n", - "# )\n", - "\n", "# Draw the pixel if requested.\n", "if use_pixel:\n", " # Draw the pixel directly in Fourier space, rather than use fft2.\n", @@ -301,7 +316,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "id": "8b08aed2", "metadata": {}, "outputs": [ @@ -309,27 +324,28 @@ "name": "stdout", "output_type": "stream", "text": [ - "Recommended supersampling: 2\n", - "Grid sizing: sim_ngrid=28, supersample=4, integration_order=2, fft_supersample=2, fine_ngrid=120, fine_compact=34, max_fine_grid=4096\n", - "Stamp construction took 0.000 seconds\n", - "Build coordinates and transforms took 0.000 seconds\n", + "Recommended supersampling: 32\n", + "Grid sizing: sim_ngrid=1340, supersample=32, integration_order=2, fft_supersample=8, fine_ngrid=4096, fine_compact=10712, max_fine_grid=4096\n", + "Stamp construction took 0.086 seconds\n", + "Build coordinates and transforms took 0.872 seconds\n", "Transfer coords to CPU took 0.000 seconds\n", - "Galaxy sampling took 0.015 seconds\n", + "Galaxy sampling took 0.224 seconds\n", "Transfer galaxy profile to NumPy took 0.000 seconds\n", - "Sampling PSF spectrum took 0.005 seconds\n", + "Block integration compensation took 0.070 seconds\n", + "Sampling PSF spectrum took 0.021 seconds\n", "Transfer PSF spectrum to NumPy took 0.000 seconds\n", - "FFT and convolution took 0.006 seconds\n", - "BATSim simulation time: 0.0231 seconds\n", - "GalSim draw time: 0.0047 seconds\n", - "GalSim flux: 0.99998951\n", - "BATSim flux: 1.00000000\n", - "Max abs residual: 1.875e-04\n", - "Max abs residual as % of max flux: 0.534%\n" + "FFT and convolution took 1.219 seconds\n", + "BATSim simulation time: 2.4040 seconds\n", + "GalSim draw time: 0.0889 seconds\n", + "GalSim flux: 3.52486086\n", + "BATSim flux: 3.56863308\n", + "Max abs residual: 3.502e-04\n", + "Max abs residual as % of max flux: 0.635%\n" ] }, { "data": { - "image/png": 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"text/plain": [ "
" ] @@ -347,8 +363,8 @@ "\n", "cosmos = galsim.COSMOSCatalog()\n", "\n", - "#gal = cosmos.makeGalaxy(index=29024, gal_type=\"parametric\")\n", - "gal = galsim.Sersic(n=1, half_light_radius=0.2, flux=1).shear(g1=0.2, g2=0.5)\n", + "gal = cosmos.makeGalaxy(index=29024, gal_type=\"parametric\")\n", + "#gal = galsim.Sersic(n=1, half_light_radius=0.2, flux=1).shear(g1=0.2, g2=0.5)\n", "objs = [gal.shear(g1=0.05), psf]\n", "conv_gal = galsim.Convolve(objs)\n", "#conv_gal = conv_gal.shift(0.5*scale, 0.5*scale)\n", @@ -389,7 +405,7 @@ "start = time()\n", "# Draw a padded GalSim image too\n", "gal_conv_im = conv_gal.drawImage(\n", - " nx=im_size[0], ny=im_size[1], scale=scale, method=draw_method, use_true_center=False\n", + " nx=im_size[0], ny=im_size[1], scale=scale, method=draw_method, use_true_center=True\n", ").array\n", "end = time()\n", "print(f\"GalSim draw time: {end - start:.4f} seconds\")\n", @@ -421,7 +437,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, "id": "ef3196f6", "metadata": {}, "outputs": [ @@ -442,7 +458,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, "id": "1638ddb7", "metadata": {}, "outputs": [ @@ -465,7 +481,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": null, "id": "bd85754e", "metadata": {}, "outputs": [ @@ -483,7 +499,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": null, "id": "91d49d8a", "metadata": {}, "outputs": [ @@ -537,7 +553,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": null, "id": "c28bb2c6", "metadata": {}, "outputs": [], @@ -549,7 +565,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": null, "id": "8c77c5c9", "metadata": {}, "outputs": [ @@ -604,361 +620,11 @@ "# fine_ngrids[i] = FineGrid.fine_ngrid\n", "# fine_compacts[i] = FineGrid.fine_compact" ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "09e5d1b6", - "metadata": {}, - "outputs": [ - { - "ename": "NameError", - "evalue": "name 'fine_ngrids' is not defined", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", - "Cell \u001b[0;32mIn[13], line 1\u001b[0m\n\u001b[0;32m----> 1\u001b[0m \u001b[38;5;28mprint\u001b[39m(np\u001b[38;5;241m.\u001b[39mwhere(\u001b[43mfine_ngrids\u001b[49m\u001b[38;5;241m>\u001b[39m\u001b[38;5;241m350000\u001b[39m))\n", - "\u001b[0;31mNameError\u001b[0m: name 'fine_ngrids' is not defined" - ] - } - ], - "source": [ - "print(np.where(fine_ngrids>350000))" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "8cc22ccf", - "metadata": {}, - "outputs": [], - "source": [ - "values = {\n", - " \"Supersampling factor\": supersamples,\n", - " \"Fine grid size\": fine_ngrids,\n", - " \"Fine compact size\": fine_compacts,\n", - "}\n", - "\n", - "for title, arr in values.items():\n", - " arr = np.asarray(arr)\n", - " arr = arr[np.isfinite(arr)]\n", - "\n", - " plt.figure(figsize=(7, 5))\n", - " plt.hist(arr, bins=50)\n", - " plt.yscale(\"log\")\n", - " plt.xlabel(title)\n", - " plt.ylabel(\"Number of COSMOS galaxies\")\n", - " plt.title(f\"Distribution of {title}\")\n", - " plt.tight_layout()\n", - " plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "3cf0ecc0", - "metadata": {}, - "outputs": [], - "source": [ - "def estimate_q_eff(\n", - " obj,\n", - " scale,\n", - " sim_ngrid,\n", - " max_pilot_ngrid=192,\n", - " flux_floor=1e-5,\n", - " q_floor=0.15,\n", - "):\n", - " \"\"\"\n", - " Cheap projected axis-ratio estimate for grid-size heuristics.\n", - "\n", - " This is intentionally not a shear estimator. It is a crude morphology\n", - " diagnostic based on flux-weighted second moments of a pilot render.\n", - " \"\"\"\n", - " pilot_ngrid = int(min(sim_ngrid, max_pilot_ngrid))\n", - "\n", - " # Make sure the pilot stamp is not absurdly tiny.\n", - " pilot_ngrid = max(pilot_ngrid, 32)\n", - "\n", - " im = obj.drawImage(\n", - " nx=pilot_ngrid,\n", - " ny=pilot_ngrid,\n", - " scale=scale,\n", - " method=\"no_pixel\",\n", - " ).array.astype(float)\n", - "\n", - " # For ordinary positive galaxy profiles, this is fine.\n", - " # If you have interpolated images with negative ringing, consider abs(im)\n", - " # or clipping to positive values only.\n", - " im = np.where(np.isfinite(im), im, 0.0)\n", - "\n", - " peak = np.max(im)\n", - "\n", - " if peak <= 0:\n", - " return 1.0, {\n", - " \"status\": \"bad_peak\",\n", - " \"pilot_ngrid\": pilot_ngrid,\n", - " }\n", - "\n", - " threshold = flux_floor * peak\n", - " w = np.where(im > threshold, im, 0.0)\n", - "\n", - " total = w.sum()\n", - "\n", - " if total <= 0 or not np.isfinite(total):\n", - " return 1.0, {\n", - " \"status\": \"bad_total\",\n", - " \"pilot_ngrid\": pilot_ngrid,\n", - " }\n", - "\n", - " y, x = np.indices(w.shape)\n", - "\n", - " x0 = (w * x).sum() / total\n", - " y0 = (w * y).sum() / total\n", - "\n", - " dx = x - x0\n", - " dy = y - y0\n", - "\n", - " Ixx = (w * dx * dx).sum() / total\n", - " Iyy = (w * dy * dy).sum() / total\n", - " Ixy = (w * dx * dy).sum() / total\n", - "\n", - " cov = np.array([[Ixx, Ixy], [Ixy, Iyy]])\n", - " evals = np.linalg.eigvalsh(cov)\n", - "\n", - " if np.any(evals <= 0) or not np.all(np.isfinite(evals)):\n", - " return 1.0, {\n", - " \"status\": \"bad_eigenvalues\",\n", - " \"pilot_ngrid\": pilot_ngrid,\n", - " \"evals\": evals,\n", - " }\n", - "\n", - " sigma_minor = np.sqrt(evals[0])\n", - " sigma_major = np.sqrt(evals[1])\n", - "\n", - " q_raw = sigma_minor / sigma_major\n", - " q_eff = float(np.clip(q_raw, q_floor, 1.0))\n", - "\n", - " diagnostics = {\n", - " \"status\": \"ok\",\n", - " \"pilot_ngrid\": pilot_ngrid,\n", - " \"q_raw\": float(q_raw),\n", - " \"q_eff\": q_eff,\n", - " \"sigma_minor_pix\": float(sigma_minor),\n", - " \"sigma_major_pix\": float(sigma_major),\n", - " \"x0\": float(x0),\n", - " \"y0\": float(y0),\n", - " \"Ixx\": float(Ixx),\n", - " \"Iyy\": float(Iyy),\n", - " \"Ixy\": float(Ixy),\n", - " }\n", - "\n", - " return q_eff, diagnostics\n", - "\n", - "def anisotropy_corrected_good_size(\n", - " gal_obj,\n", - " fine_scale,\n", - " coarse_scale,\n", - " pilot_ngrid,\n", - " alpha=0.5,\n", - " min_correction=0.35,\n", - "):\n", - " \"\"\"\n", - " Estimate a fine-grid support size, reducing the circular worst-case size\n", - " for highly elongated galaxies.\n", - "\n", - " alpha = 0.5 gives area-equivalent correction.\n", - " alpha = 0.25 is more conservative.\n", - " \"\"\"\n", - " circular_size = int(gal_obj.getGoodImageSize(fine_scale))\n", - "\n", - " q_eff, _ = estimate_q_eff(\n", - " gal_obj,\n", - " scale=coarse_scale,\n", - " sim_ngrid=pilot_ngrid,\n", - " )\n", - "\n", - " correction = q_eff**alpha\n", - " correction = max(correction, min_correction)\n", - "\n", - " corrected = int(np.ceil(circular_size * correction))\n", - "\n", - " return corrected, circular_size, q_eff" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "7b2505bf", - "metadata": {}, - "outputs": [], - "source": [ - "sim_ngrid = 1024\n", - "scale = 0.2\n", - "gal = cosmos.makeGalaxy(index=29024, gal_type=\"parametric\")\n", - "diag = estimate_q_eff(gal, scale, sim_ngrid)\n", - "print(diag)\n", - "\n", - "corrected, circular, q_eff = anisotropy_corrected_good_size(\n", - " gal,\n", - " fine_scale=scale / 256,\n", - " coarse_scale=scale,\n", - " pilot_ngrid=sim_ngrid,\n", - " alpha=0.5\n", - ")\n", - "\n", - "print(f\"Corrected size: {corrected}, Circular size: {circular}, q_eff: {q_eff}\")" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "253f930a", - "metadata": {}, - "outputs": [], - "source": [ - "def estimate_rectangular_support_from_flux(\n", - " obj,\n", - " scale,\n", - " sim_nx,\n", - " sim_ny=None,\n", - " max_pilot_nx=512,\n", - " max_pilot_ny=512,\n", - " flux_fraction=0.9999,\n", - " safety=1.25,\n", - " min_size=32,\n", - "):\n", - " \"\"\"\n", - " Estimate rectangular support using 1D marginal flux containment.\n", - "\n", - " Returns support_x_coarse, support_y_coarse in coarse pixels.\n", - " \"\"\"\n", - " if sim_ny is None:\n", - " sim_ny = sim_nx\n", - "\n", - " pilot_nx = int(min(sim_nx, max_pilot_nx))\n", - " pilot_ny = int(min(sim_ny, max_pilot_ny))\n", - "\n", - " pilot_nx = max(pilot_nx, min_size)\n", - " pilot_ny = max(pilot_ny, min_size)\n", - "\n", - " im = obj.drawImage(\n", - " nx=pilot_nx,\n", - " ny=pilot_ny,\n", - " scale=scale,\n", - " method=\"no_pixel\",\n", - " ).array.astype(float)\n", - "\n", - " im = np.where(np.isfinite(im), im, 0.0)\n", - " w = np.clip(im, 0.0, None)\n", - "\n", - " total = w.sum()\n", - "\n", - " if total <= 0 or not np.isfinite(total):\n", - " return sim_nx, sim_ny, {\n", - " \"status\": \"bad_total\",\n", - " \"pilot_nx\": pilot_nx,\n", - " \"pilot_ny\": pilot_ny,\n", - " }\n", - "\n", - " # Marginal flux along each axis.\n", - " x_profile = w.sum(axis=0)\n", - " y_profile = w.sum(axis=1)\n", - "\n", - " support_x = _support_width_1d(\n", - " x_profile,\n", - " flux_fraction=flux_fraction,\n", - " safety=safety,\n", - " min_size=min_size,\n", - " )\n", - "\n", - " support_y = _support_width_1d(\n", - " y_profile,\n", - " flux_fraction=flux_fraction,\n", - " safety=safety,\n", - " min_size=min_size,\n", - " )\n", - "\n", - " diagnostics = {\n", - " \"status\": \"ok\",\n", - " \"pilot_nx\": pilot_nx,\n", - " \"pilot_ny\": pilot_ny,\n", - " \"support_x\": int(support_x),\n", - " \"support_y\": int(support_y),\n", - " \"flux_fraction\": flux_fraction,\n", - " \"safety\": safety,\n", - " }\n", - "\n", - " return support_x, support_y, diagnostics\n", - "\n", - "\n", - "def _support_width_1d(profile, flux_fraction=0.9999, safety=1.25, min_size=32):\n", - " \"\"\"\n", - " Find the narrowest 1D interval containing a target flux fraction.\n", - "\n", - " This is slightly better than simply trimming equal tails because it can\n", - " handle mild asymmetry.\n", - " \"\"\"\n", - " profile = np.asarray(profile, dtype=float)\n", - " profile = np.where(np.isfinite(profile), profile, 0.0)\n", - " profile = np.clip(profile, 0.0, None)\n", - "\n", - " total = profile.sum()\n", - "\n", - " if total <= 0:\n", - " return min_size\n", - "\n", - " target = flux_fraction * total\n", - " cdf = np.concatenate([[0.0], np.cumsum(profile)])\n", - "\n", - " n = len(profile)\n", - "\n", - " best_width = n\n", - " right = 0\n", - "\n", - " for left in range(n):\n", - " if right < left:\n", - " right = left\n", - "\n", - " while right < n and cdf[right + 1] - cdf[left] < target:\n", - " right += 1\n", - "\n", - " if right >= n:\n", - " break\n", - "\n", - " width = right - left + 1\n", - "\n", - " if width < best_width:\n", - " best_width = width\n", - "\n", - " support = int(np.ceil(safety * best_width))\n", - " support = max(support, min_size)\n", - "\n", - " return support" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "b04bdf4c", - "metadata": {}, - "outputs": [], - "source": [ - "sim_ngrid = batsim.sim._resolve_simulation_ngrid(gal, psf, scale)\n", - "\n", - "support_x, support_y, diag = estimate_rectangular_support_from_flux(\n", - " gal,\n", - " scale=scale,\n", - " sim_nx=sim_ngrid\n", - ")\n", - "\n", - "print(f\"Estimated support (x, y): {support_x*256}, {support_y*256}\")" - ] } ], "metadata": { "kernelspec": { - "display_name": "batsim-test", + "display_name": "batsim-gpu", "language": "python", "name": "python3" }, diff --git a/notebooks/dev/test_block_integration.ipynb b/notebooks/dev/test_block_integration.ipynb new file mode 100644 index 0000000..a462deb --- /dev/null +++ b/notebooks/dev/test_block_integration.ipynb @@ -0,0 +1,221 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "7bb22371", + "metadata": {}, + "outputs": [], + "source": [ + "import os\n", + "os.environ['OMP_NUM_THREADS'] = '1'\n", + "\n", + "import galsim\n", + "import batsim\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from parallelbar import progress_starmap\n", + "\n", + "from tqdm import tqdm\n", + "from time import time\n", + "\n", + "from importlib import reload\n", + "reload(batsim)\n", + "\n", + "np.random.seed(14)" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "098af93b", + "metadata": {}, + "outputs": [], + "source": [ + "n_gals = 1000\n", + "scale = 0.2\n", + "nn = 64\n", + "\n", + "cosmos = galsim.COSMOSCatalog()\n", + "inds = np.random.choice(len(cosmos), n_gals, replace=False)\n", + "gal_list = [cosmos.makeGalaxy(index=i, gal_type='parametric') for i in inds]\n", + "\n", + "psf = galsim.Moffat(beta=3.5, fwhm=0.7)\n", + "\n", + "# Extract parameters for each galaxy\n", + "hlrs = np.zeros(n_gals)\n", + "sersic_inds = np.zeros(n_gals)\n", + "for i, j in enumerate(inds):\n", + " rec = cosmos.getParametricRecord(j)\n", + " if bool(rec['use_bulgefit']):\n", + " hlrs[i] = rec['hlr'][2]\n", + " sersic_inds[i] = 0\n", + " else:\n", + " hlrs[i] = rec['hlr'][0]\n", + " sersic_inds[i] = rec['sersicfit'][2]" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "90978a0b", + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "5f0c422c0e5c4a2ab737ca19ceb57434", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "DONE: 0%| | 0/1000 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "residuals = np.zeros(len(galsim_images))\n", + "perc_residuals = np.zeros(len(galsim_images))\n", + "for i in range(len(galsim_images)):\n", + " residuals[i] = abs(galsim_images[i] - batsim_images[i]).max()\n", + " perc_residuals[i] = 100 * residuals[i] / galsim_images[i].max()\n", + "\n", + "# estimate fraction with sub-% residuals\n", + "frac_sub_1perc = np.mean(perc_residuals < 1)\n", + "print(f'Fraction of galaxies with <1% residuals: {frac_sub_1perc:.4f}')\n", + "\n", + "plt.figure()\n", + "plt.subplots(1, 2, figsize=(12, 5))\n", + "plt.subplot(1, 2, 1)\n", + "plt.scatter(hlrs, perc_residuals, alpha=0.5)\n", + "plt.xlabel('HLR')\n", + "plt.ylabel('Percentage residuals')\n", + "plt.subplot(1, 2, 2)\n", + "plt.scatter(sersic_inds, perc_residuals, alpha=0.5)\n", + "plt.xlabel('Sersic index')\n", + "plt.ylabel('Percentage residuals')\n", + "plt.tight_layout()\n", + "plt.show()" + ] + } + ], + 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