--- /dev/null
+{
+ "metadata": {
+ "name": ""
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import sys\n",
+ "import os\n",
+ "import time\n",
+ "import subprocess\n",
+ "from progressbar import * # From ipython github site\n",
+ "from IPython.core.display import Image\n",
+ "from IPython.display import display, clear_output"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [],
+ "prompt_number": 106
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "options = {\n",
+ " \"real_names\" : [\"single\", \"double\", \"long\", \"virtual\", \"Rational_GMPint\", \"Rational_Arbint\", \"mpfrc++\", \"iRRAM\", \"ParanoidNumber\"],\n",
+ " \"ipdf_src\" : \"../src/\",\n",
+ " \"ipdf_bin\" : \"../bin/ipdf\",\n",
+ " \"local_bin\" : \"./\",\n",
+ " \"ignore\" : [\"virtual\", \"Rational_Arbint\", \"mpfrc++\", \"iRRAM\", \"ParanoidNumber\"],\n",
+ " \"test\" : [\"single\", \"single-qtree\"]\n",
+ "}"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [],
+ "prompt_number": 56
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Compile programs"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "def build(real_type, quadtree=False, controlpanel=False):\n",
+ " global options\n",
+ " real_name = \"\"\n",
+ " if (type(real_type) == str):\n",
+ " quadtree = \"enabled\" if (real_type.split(\"-\")[-1] == \"qtree\") else quadtree\n",
+ " real_type = real_type.split(\"-\")[0]\n",
+ " real_name = real_type\n",
+ " real_type = options[\"real_names\"].index(real_type)\n",
+ " else:\n",
+ " real_name = options[\"real_names\"][real_type]\n",
+ " \n",
+ " quadtree = \"enabled\" if quadtree else \"disabled\"\n",
+ " controlpanel = \"enabled\" if controlpanel else \"disabled\"\n",
+ " if (os.system(\"make -C %s clean\" % options[\"ipdf_src\"]) != 0):\n",
+ " raise Exception(\"Make clean failed.\")\n",
+ " if (os.system(\"make -C %s REALTYPE=%d QUADTREE=%s CONTROLPANEL=%s\" % (options[\"ipdf_src\"], real_type, quadtree, controlpanel)) != 0):\n",
+ " raise Exception(\"Make failed.\")\n",
+ " \n",
+ " q = \"-qtree\" if quadtree == \"enabled\" else \"\"\n",
+ " os.rename(options[\"ipdf_bin\"], options[\"local_bin\"]+real_name+q)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [],
+ "prompt_number": 57
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "p = ProgressBar(len(options[\"test\"]))\n",
+ "p.animate(0)\n",
+ "for (i,b) in enumerate(options[\"test\"]): #options[\"real_names\"]:\n",
+ " if b in options[\"ignore\"]:\n",
+ " continue\n",
+ " try:\n",
+ " build(b, False, False)\n",
+ " #display(\"Built %s\" % b)\n",
+ " except:\n",
+ " display(\"Failed to build %s\" % b)\n",
+ " p.animate(i+1)\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "\r",
+ "[ 0% ]"
+ ]
+ },
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ " \r",
+ "[*****************50% ] 1 of 2 complete"
+ ]
+ },
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ " \r",
+ "[****************100%******************] 2 of 2 complete"
+ ]
+ },
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "\n"
+ ]
+ }
+ ],
+ "prompt_number": 74
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Time to render frames\n",
+ "\n",
+ "Compare CPU and GPU frame rates for test image and fixed bounds"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "def time_vs_frames(exec_name, bounds = [0.,0.,1.,1.], min_frames=0, \\\n",
+ " max_frames=100, step=10,test_image=\"svg-tests/rabbit_simple.svg\"):\n",
+ " binname = options[\"local_bin\"]+exec_name\n",
+ " data = []\n",
+ " p = ProgressBar(sum(xrange(min_frames, max_frames, step)))\n",
+ " p.animate(0)\n",
+ " i = 0\n",
+ " for frames in xrange(min_frames, max_frames+step, step):\n",
+ " pt = [frames]\n",
+ " # -l means to turn off lazy rendering\n",
+ " # -Q means don't show the window\n",
+ " cmd = binname + \" -l -Q -b %s %s %s %s -f %d %s\" % tuple(map(str, bounds) + [frames, test_image])\n",
+ " \n",
+ " # Everything on GPU\n",
+ " start = time.time()\n",
+ " os.system(cmd + \" -r gpu -T gpu\")\n",
+ " end = time.time()\n",
+ " pt += [(end - start)]\n",
+ " \n",
+ " # Everything on CPU\n",
+ " start = time.time()\n",
+ " os.system(cmd + \" -r cpu -T cpu\")\n",
+ " end = time.time()\n",
+ " pt += [(end - start)]\n",
+ " \n",
+ " data += [pt]\n",
+ " i += frames\n",
+ " p.animate(i)\n",
+ " \n",
+ " return asarray(data)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [],
+ "prompt_number": 69
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "tf = time_vs_frames(\"single\")"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "\r",
+ "[ 0% ]"
+ ]
+ },
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ " \r",
+ "[ 0% ] 1 of 450 complete"
+ ]
+ },
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ " \r",
+ "[ 0% ] 1 of 450 complete"
+ ]
+ },
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ " \r",
+ "[* 2% ] 11 of 450 complete"
+ ]
+ },
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ " \r",
+ "[*** 7% ] 31 of 450 complete"
+ ]
+ },
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ " \r",
+ "[***** 14% ] 61 of 450 complete"
+ ]
+ },
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ " \r",
+ "[******** 22% ] 101 of 450 complete"
+ ]
+ },
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ " \r",
+ "[************* 34% ] 151 of 450 complete"
+ ]
+ },
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ " \r",
+ "[*****************47% ] 211 of 450 complete"
+ ]
+ },
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ " \r",
+ "[*****************62%**** ] 281 of 450 complete"
+ ]
+ },
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ " \r",
+ "[*****************80%********** ] 361 of 450 complete"
+ ]
+ },
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ " \r",
+ "[****************100%******************] 451 of 450 complete"
+ ]
+ },
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "\n"
+ ]
+ }
+ ],
+ "prompt_number": 79
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "def plot_time_vs_frames(tf):\n",
+ " figure(figsize=(9,7))\n",
+ " plot(tf[:,0], tf[:,1], 'o-')\n",
+ " yscale('linear')\n",
+ " xscale('linear')\n",
+ " plot(tf[:,0], tf[:,2], 'o-')\n",
+ " legend([\"GPU\", \"CPU\"])\n",
+ " xlabel(\"Frames\")\n",
+ " ylabel(\"Time To Render\")\n",
+ " title(\"Quick, to the TARDIS of Infinite Precision!\")"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [],
+ "prompt_number": 91
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "plot_time_vs_frames(tf)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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CdgQgXZYOA7EB/Dz8ivVzaJrSHNcZXIiIqFxSdDWOXaQdlk1cJj/ov8l8kzeU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\nmjRpkiQzLZ88eVKSdOLECd16661WNtFr7NmzR++884769eu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+ "text": [
+ "<matplotlib.figure.Figure at 0x7f94c1219290>"
+ ]
+ }
+ ],
+ "prompt_number": 90
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Precision of rendering\n",
+ "\n",
+ "Compare images"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "def rgb2gray(rgb):\n",
+ " return np.dot(rgb[...,:3], [0.299/256., 0.587/256., 0.144/256.])"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [],
+ "prompt_number": 190
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "def bmpdiff(img1, img2):\n",
+ " p = subprocess.Popen(\"./bmpdiff %s %s\" % (img1, img2), bufsize=0, stdin=subprocess.PIPE, \\\n",
+ " stdout=subprocess.PIPE, stderr=subprocess.PIPE, shell=True)\n",
+ " out = p.stdout.readlines()\n",
+ " if len(out) != 1:\n",
+ " raise Exception(\"bmpdiff %s %s failed: %s \" % (img1, img2, str(map(lambda e : e.strip(\"\\n\"),p.stderr.readlines()))))\n",
+ " return map(float, out[0].strip(\" \\r\\n\").split(\"\\t\"))"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [],
+ "prompt_number": 191
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "def precision_vs_zoom(exec_name, xy, start_dims, end_dims, steps, test_image=\"svg-tests/rabbit_simple.svg\"):\n",
+ " binname = options[\"local_bin\"]+exec_name\n",
+ " data = []\n",
+ " bounds = [xy[0], xy[1], start_dims[0], start_dims[1]]\n",
+ " dw = float(end_dims[0] - start_dims[0])/float(steps)\n",
+ " dh = float(end_dims[1] - start_dims[1])/float(steps)\n",
+ " p = ProgressBar(steps)\n",
+ " p.animate(0)\n",
+ " for i in xrange(steps+1):\n",
+ " cmd = binname + \" -l -b %s %s %s %s %s\" % tuple(map(str, bounds) + [test_image])\n",
+ " \n",
+ " # Don't show the windows\n",
+ " os.system(cmd + \" -Q -r gpu -T gpu -o gpu%d.bmp\" % i)\n",
+ " os.system(cmd + \" -Q -r cpu -T cpu -o cpu%d.bmp\" % i)\n",
+ " \n",
+ " pt = [i]\n",
+ " pt += bounds\n",
+ " pt += [bmpdiff(\"gpu\"+str(i)+\".bmp\", \"gpu\"+str(max(i-1,0))+\".bmp\")[3]]\n",
+ " pt += [bmpdiff(\"gpu\"+str(i)+\".bmp\", \"gpu0.bmp\")[3]]\n",
+ " pt += [bmpdiff(\"cpu\"+str(i)+\".bmp\", \"cpu\"+str(max(i-1,0))+\".bmp\")[3]]\n",
+ " pt += [bmpdiff(\"cpu\"+str(i)+\".bmp\", \"cpu0.bmp\")[3]]\n",
+ " pt += [bmpdiff(\"cpu\"+str(i)+\".bmp\", \"gpu\"+str(i)+\".bmp\")[3]]\n",
+ " # [step, x, y, w, h, gpu_delta, gpu_total_delta, cpu_delta, cpu_total_delta, gpu_vs_cpu\n",
+ " data += [pt]\n",
+ " bounds[2] += dw\n",
+ " bounds[3] += dh\n",
+ "\n",
+ " p.animate(i)\n",
+ " \n",
+ " start = rgb2gray(imread(\"cpu0.bmp\"))\n",
+ " end = rgb2gray(imread(\"cpu\"+str(steps)+\".bmp\"))\n",
+ " imsave(\"compare.png\",asarray(list(start.T)+list(end.T)).T)\n",
+ " return asarray(data)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "\n"
+ ]
+ }
+ ],
+ "prompt_number": 227
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "pz = precision_vs_zoom(\"single\", [0.5,0.5],[1e-5,1e-5],[1e-6,1e-6], 2)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "\r",
+ "[ 0% ]"
+ ]
+ },
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ " \r",
+ "[*****************50% ] 1 of 2 complete"
+ ]
+ },
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ " \r",
+ "[*****************50% ] 1 of 2 complete"
+ ]
+ },
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ " \r",
+ "[****************100%******************] 2 of 2 complete"
+ ]
+ },
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "\n"
+ ]
+ }
+ ],
+ "prompt_number": 228
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Matplotlib's image display is terrible so we must resort to this sort of horror\n",
+ "\n",
+ "## I can't seem to stop it from being these colours\n",
+ "\n",
+ "<img src=\"compare.png\" width=\"80%\"/>"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "def plot_precision_vs_zoom(pz):\n",
+ " figure(figsize=(9,7))\n",
+ " plot(pz[:,3], pz[:,6], 'o-')\n",
+ " yscale('log')\n",
+ " xscale('log')\n",
+ " plot(pz[:,3], pz[:,8], 'o-')\n",
+ " legend([\"GPU\", \"CPU\"])\n",
+ " xlabel(\"Width\")\n",
+ " ylabel(\"Average distance to closest pixel in original\")\n",
+ " title(\"Arr Captain We Be Sinking Into The Sea of Precision\")"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [],
+ "prompt_number": 80
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "plot_precision_vs_zoom(pz)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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2IiIiIo2oHXJq164dLl68iJYtW+LatWvFyvSFQ05EREQ1h06GnGQyGRQKBRo3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\nZPr0hXSaNpP+SlDzfVKXBXjw8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+ "text": [
+ "<matplotlib.figure.Figure at 0x7f94c12d8bd0>"
+ ]
+ }
+ ],
+ "prompt_number": 81
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [],
+ "language": "python",
+ "metadata": {},
+ "outputs": []
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+}
\ No newline at end of file