plots.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import trig_poly_v0 as trig_poly\n",
    "import dual_certificates_v0 as dual_certificates\n",
    "import test_data\n",
    "import numpy as np\n",
    "import plt_util\n",
    "import phase_transition\n",
    "from matplotlib import pyplot as plt\n",
    "%matplotlib inline\n",
    "figsize = (8,6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "reload(test_data)\n",
    "reload(dual_certificates)\n",
    "reload(trig_poly)\n",
    "reload(plt_util)\n",
    "\n",
    "m = 10\n",
    "fc =1000\n",
    "min_separation = 0.9/fc\n",
    "#N = int(1.0/min_separation-1)\n",
    "N = m\n",
    "# N = 5\n",
    "\n",
    "kernel = trig_poly.TrigPoly.dirichlet(fc)\n",
    "\n",
    "# support = test_data.jittered_supports(N, min_separation)\n",
    "support = test_data.exact_supports(N, min_separation)\n",
    "sign_pattern = test_data.uniform_sign_pattern_multidim(N, m, orthogonal= True, sparse = True)\n",
    "\n",
    "# Multiply sign pattern with random unitary\n",
    "# G = np.random.normal(size=(N, N)) + np.random.normal(size=(N, N)) * 1.0j\n",
    "# Q, R = np.linalg.qr(G)\n",
    "# sign_pattern = np.dot(Q, sign_pattern)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# interpolator_1 = dual_certificates.interpolate_multidim(support, sign_pattern, kernel)\n",
    "interpolator_2,coeffs_2, _, kernel_1 = dual_certificates.interpolate_multidim_with_derivative(support, sign_pattern, kernel)\n",
    "\n",
    "# interpolator_3 = dual_certificates.interpolate_multidim_adjacent_samples(support, sign_pattern, kernel, random_derivatives = False)\n",
    "# interpolator_4 = dual_certificates.interpolate_multidim_adjacent_samples(support, sign_pattern, kernel, random_derivatives = True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ABQgxANIhdGN/jCGms5IQQ2M/AABhEWIAJJ+1EWwniyPE5LeoheqJ8Rr7qcQA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\nL5MhAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x8050550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "reload(plt_util)\n",
    "points = 200\n",
    "# interpolator = interpolator_2\n",
    "# extension = min_separation\n",
    "# ts = np.linspace(max(support[3] - extension, 0), min(support[6] + extension , 1.0), points)\n",
    "# values = interpolator(ts)\n",
    "\n",
    "# plt.figure(figsize=figsize, dpi=100)\n",
    "# ax = plt.gca()\n",
    "\n",
    "# ys = np.linalg.norm(values[(4,5),:], axis=0)\n",
    "# ax.plot(ts, ys, c='C0', label = r'$N(t)$')\n",
    "# ys = np.linalg.norm(values[[a for a in range(m) if a not in (4,5) ],:], axis=0) + np.linalg.norm(values[(4,5),:], axis=0)\n",
    "# ax.plot(ts, ys, c='C1', label = r'$N(t)$')\n",
    "\n",
    "# # for k in [qss-1 for qss in qs]:\n",
    "# #     ys = values[k,:]\n",
    "# #     ax.plot(ts, np.absolute(ys), c = 'C'+str(j), label = r'$\\Vert q_{%d}(t)\\Vert $'%(k+1) )\n",
    "# #     j  = j+1\n",
    "\n",
    "\n",
    "\n",
    "# plt_util.plot_support_magnitude_lines(support, start = 0.9,  c = 'C2' )\n",
    "# ax.axhline(1.0, c = 'C3')\n",
    "\n",
    "# leg = plt.legend(loc=2, ncol=1, fancybox=True, bbox_to_anchor=(1.03, 1))\n",
    "# leg.get_frame().set_alpha(0.5)\n",
    "\n",
    "k=4\n",
    "extension = 3*min_separation\n",
    "# extension = 1\n",
    "hops = 2\n",
    "ts = np.linspace(max(support[k-1-hops] - extension,0), min(support[k-1+hops] + extension , 1.0), points)\n",
    "# ts = np.linspace(support[0] - extension, support[-1] + extension, points)\n",
    "# plt_util.plot_2ndder_zoom(interpolator_2, support, q = q, ts = ts, hops = hops)\n",
    "plt_util.plot_2ndder_bycomponent(interpolator_2, support, ts, k)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[  5.49427364e-01 +4.52800774e-15j,\n",
       "          6.64674205e-01 +3.37728977e-15j,\n",
       "          7.69098147e-01 +1.77467633e-15j, ...,\n",
       "         -5.85506032e-04 -1.92069396e-14j,\n",
       "          4.31824767e-03 -5.52294213e-14j,\n",
       "          8.80454929e-03 -8.69450996e-14j],\n",
       "       [ -4.76057247e-02 -1.29285688e-14j,\n",
       "         -7.13782490e-02 -7.61581553e-15j,\n",
       "         -8.73094363e-02 -4.18816457e-15j, ...,\n",
       "          1.21622308e-02 -1.25974535e-14j,\n",
       "          8.42401100e-03 +3.86232929e-14j,\n",
       "          4.01658103e-03 +8.64091513e-14j],\n",
       "       [ -5.09258512e-02 -1.29337188e-14j,\n",
       "         -3.80673933e-02 -7.78817657e-15j,\n",
       "         -2.49290474e-02 -4.14897066e-15j, ...,\n",
       "         -1.68034680e-02 +2.59297792e-14j,\n",
       "         -1.60383328e-02 +1.04370397e-13j,\n",
       "         -1.39277733e-02 +1.74405141e-13j],\n",
       "       ..., \n",
       "       [ -2.33417872e-02 +2.05643201e-14j,\n",
       "         -1.91230277e-02 +1.22286892e-14j,\n",
       "         -1.44456001e-02 +6.63412467e-15j, ...,\n",
       "         -2.66049538e-02 -4.84483872e-14j,\n",
       "         -2.70014817e-02 -1.63748843e-13j,\n",
       "         -2.51178152e-02 -2.65871255e-13j],\n",
       "       [  3.22971367e-02 +1.15749966e-14j,\n",
       "          3.07270470e-02 +6.84099045e-15j,\n",
       "          2.73107236e-02 +3.73353150e-15j, ...,\n",
       "          1.70627997e-02 -2.57324002e-14j,\n",
       "          2.39253633e-02 -9.02572830e-14j,\n",
       "          2.86225241e-02 -1.47526522e-13j],\n",
       "       [ -2.45437756e-02 +3.45069025e-15j,\n",
       "         -2.63633300e-02 +2.04388373e-15j,\n",
       "         -2.59131766e-02 +1.14209857e-15j, ...,\n",
       "          1.14706857e-02 -2.29780387e-15j,\n",
       "         -1.10532098e-03 -2.07275061e-14j,\n",
       "         -1.32584076e-02 -3.76521459e-14j]])"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "interpolator_2(ts)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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AGi2W2/8HFxpu1u5iy9sbcLouzkXRyfYBfrGlFH3kJwB8c8HXMOvMn3l8ZkQm9+feD4Ax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\nloRQEjwDYV8KhQuEtIRhOpk7HZgB2txJ2kJoWno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U5bpVipCgklGoYdEUqTTsOpw5Yf3i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\neO+XD3HZfQ8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SMusymRY3rV2QExAcRkxcL85nZlDv1pHvCqbv2VclmdvI4Z1m6y/ea9Hj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vYQbO/AArnklv8BgdIlGIZzCaIWo8f6ieR1c3qgk8gIoz9VlJVx/YoVVFZWZnzGUT8kEo66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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xcccf710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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1PWNYhH1751vPo6O3A2q52mF9D4Vz7pxg7zpLsKc7RcEeIYQMl5mb0d7b7paC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NcDiCSqr/n0sQsG1NvX3atQKyIiIu3VscqeSKtmJ93KntuJ0+Nmqn1j9Acn3eucOrPCwd7K1DtQ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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x8648ef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "reload(plt_util)\n",
    "qs = [1,2,3,4,5,6,7]\n",
    "points = 200\n",
    "extension = min_separation\n",
    "# extension = 1\n",
    "ts = np.linspace(max(support[min(qs)-1] - extension,0), min(support[max(qs)-1] + extension , 1.0), points)\n",
    "# ts = np.linspace(support[0] - extension, support[-1] + extension, points)\n",
    "plt_util.plot_individual_magnitude(interpolator_2, support, qs=qs, ts=ts, plot_Nt = True)\n",
    "\n",
    "# qs = [1]\n",
    "# hops = 3\n",
    "# extension = 2*min_separation\n",
    "# # extension = 1\n",
    "# ts = np.linspace(support[0] - extension, support[-1] + extension, points)\n",
    "# plt_util.plot_individual_components(coeffs_2, support, kernel, kernel_1, qs = qs, ts = ts, hops=hops, diff_color = True)\n",
    "\n",
    "q = 4\n",
    "extension = min_separation\n",
    "# extension = 1\n",
    "hops = 1\n",
    "ts = np.linspace(max(support[q-1-hops] - extension,0), min(support[q-1+hops] + extension , 1.0), points)\n",
    "# ts = np.linspace(support[0] - extension, support[-1] + extension, points)\n",
    "plt_util.plot_2ndder_zoom(interpolator_2, support, q = q, ts = ts, hops = hops)\n",
    "\n",
    "# plt_util.plot_coeffs(coeffs_2, m, fc)\n",
    "\n",
    "# plt_util.plot_trig_poly_magnitude_der_2ndder(interpolator_2, support)\n",
    "\n",
    "# plt.figure(0)\n",
    "# plt_util.plot_trig_poly_magnitude(interpolator_1)\n",
    "# plt_util.plot_support_magnitude_lines(support)\n",
    "# plt_util.plot_magnitude_bounds()\n",
    "# plt.figure(1)\n",
    "# plt_util.plot_trig_poly_magnitude(interpolator_2)\n",
    "# plt_util.plot_support_magnitude_lines(support)\n",
    "# plt_util.plot_magnitude_bounds()\n",
    "# plt.figure(2)\n",
    "# plt_util.plot_trig_poly_magnitude(interpolator_3)\n",
    "# plt_util.plot_support_magnitude_lines(support)\n",
    "# plt_util.plot_magnitude_bounds()\n",
    "# plt.figure(3)\n",
    "# plt_util.plot_trig_poly_magnitude(interpolator_4)\n",
    "# plt_util.plot_support_magnitude_lines(support)\n",
    "# plt_util.plot_magnitude_bounds()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'bound_achieved': True,\n",
       " 'max_deviation': 1.4343054571031167e-14,\n",
       " 'status': True,\n",
       " 'values_achieved': True}"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dual_certificates.validate(support, sign_pattern, interpolator_2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 247,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'bound_achieved': False,\n",
       " 'max_deviation': 4.0980616289968964e-16,\n",
       " 'status': False,\n",
       " 'values_achieved': True}"
      ]
     },
     "execution_count": 247,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dual_certificates.validate(support, sign_pattern, interpolator_3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0x13f8fc690>"
      ]
     },
     "execution_count": 85,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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luuuRweRTlLra2Q/dSFFK6XJy6L+dFdz80sxSFmRpR1W2DhjpD+JyN7+UdOEybzWzlCTU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\n/wGfCJXZJkqs5wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x12f038250>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(np.absolute(kernel.derivative().inners_of_shifts(support)))\n",
    "plt.colorbar()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0x131dfc150>"
      ]
     },
     "execution_count": 86,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x13f443ad0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(np.absolute(kernel.inners_of_shifts(support)))\n",
    "plt.colorbar()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Phase Transition"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<module 'test_data' from 'test_data.pyc'>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "reload(phase_transition)\n",
    "reload(dual_certificates)\n",
    "reload(test_data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 129,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[3, 4]\n"
     ]
    }
   ],
   "source": [
    "print(range(3,5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "fc = 50\n",
    "m = 10\n",
    "sizes = range(1, m+1)\n",
    "separation_ratios = np.linspace(0.1, 0.9, 9)\n",
    "separations = separation_ratios / fc"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0 0\n",
      "0 1\n",
      "0 2\n",
      "0 3\n",
      "0 4\n",
      "0 5\n",
      "0 6\n",
      "0 7\n",
      "0 8\n",
      "1 0\n",
      "1 1\n",
      "1 2\n",
      "1 3\n",
      "1 4\n",
      "1 5\n",
      "1 6\n",
      "1 7\n",
      "1 8\n",
      "2 0\n",
      "2 1\n",
      "2 2\n",
      "2 3\n",
      "2 4\n",
      "2 5\n",
      "2 6\n",
      "2 7\n",
      "2 8\n",
      "3 0\n",
      "3 1\n",
      "3 2\n",
      "3 3\n",
      "3 4\n",
      "3 5\n",
      "3 6\n",
      "3 7\n",
      "3 8\n",
      "4 0\n",
      "4 1\n",
      "4 2\n",
      "4 3\n",
      "4 4\n",
      "4 5\n",
      "4 6\n",
      "4 7\n",
      "4 8\n",
      "5 0\n",
      "5 1\n",
      "5 2\n",
      "5 3\n",
      "5 4\n",
      "5 5\n",
      "5 6\n",
      "5 7\n",
      "5 8\n",
      "6 0\n",
      "6 1\n",
      "6 2\n",
      "6 3\n",
      "6 4\n",
      "6 5\n",
      "6 6\n",
      "6 7\n",
      "6 8\n",
      "7 0\n",
      "7 1\n",
      "7 2\n",
      "7 3\n",
      "7 4\n",
      "7 5\n",
      "7 6\n",
      "7 7\n",
      "7 8\n",
      "8 0\n",
      "8 1\n",
      "8 2\n",
      "8 3\n",
      "8 4\n",
      "8 5\n",
      "8 6\n",
      "8 7\n",
      "8 8\n",
      "9 0\n",
      "9 1\n",
      "9 2\n",
      "9 3\n",
      "9 4\n",
      "9 5\n",
      "9 6\n",
      "9 7\n",
      "9 8\n",
      "Wall time: 52 s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "reload(phase_transition)\n",
    "reload(dual_certificates)\n",
    "reload(test_data)\n",
    "\n",
    "\n",
    "# probs = phase_transition.grid_probabilities(\n",
    "#     test_data.exact_supports,\n",
    "#     lambda size: test_data.uniform_sign_pattern_multidim(size, m),\n",
    "#     trig_poly.TrigPoly.dirichlet(fc),\n",
    "#     dual_certificates.interpolate_multidim,\n",
    "#     sizes,\n",
    "#     separations,\n",
    "#     num_experiments=10,\n",
    "#     verbose=True,\n",
    "#     random_derivatives=False,\n",
    "#     orthogonal_support = True,\n",
    "#     sparse_support = True)\n",
    "\n",
    "probs = phase_transition.grid_probabilities_ortho(\n",
    "    test_data.exact_supports,\n",
    "    lambda size: test_data.uniform_sign_pattern_multidim(size, m),\n",
    "    trig_poly.TrigPoly.dirichlet(fc),\n",
    "    dual_certificates.interpolate_multidim,\n",
    "    sizes,\n",
    "    separations,\n",
    "    num_experiments=6,\n",
    "    verbose=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0xc3b14e0>"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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sjTgBm1mlOQGbmSXiBGxmlogTsJlZAmW/I4bnAzazSivqSjhJEyQ9JWmBpPN6KXNoPjvk\nPEn3NqrTPWAzq7QihiDyGR8vI7vuYQkwU9KtEfFETZlhwOXAhIhYJGmrRvW6B2xmlVZQD3g8sCAi\nFkbEW8D1wKS6MicB0yNiUd7uikaVugdshUh1l+C5c+cmaXfEiBFtb3Py5MltbxNgzz33TNJuESKC\n1atXN1N0uKRZNeudEdFZsz4SWFyzvgTYv66OnYH1JN0DbAJcHBE/7atRJ2Azq7Qme7grC5ixcV1g\nX7L50TcAHpD0YEQ83dcLzMwqq6DT0JYC29asj8qfq7UEeDGfomGVpPuAvYBeE7DHgM2s0goaA54J\njJE0Op8D/QTg1royvwQOlrSupA3Jhijm91Wpe8BmVllFnQccEV2SzgTuBIYA0yJinqTT8+1TI2K+\npDuAucAa4MqIeLyvep2AzazSiroSLiJmADPqnptat/4D4AfN1ukEbGaVVtkr4SQNk3SjpCclzZd0\nYFGBmZm1qnsIotEjlVZ7wBcDd0TEcfnA9IYFxGRmVphKTsYjaTPgr4C/A8ivDnmrmLDMzIpR5gTc\nyhDEaOAF4P9IekTSlfk94t5FUoekWXVXmZiZtUVVb0u/LvAhYEpE7AOsAv5ihqCI6IyIcQVcZWJm\n1i/NJN+UCbiVMeAlwJKIeChfv5EeErCZWUpNzgWRxIB7wBHxPLBY0i75U4cDT/TxEjOztqtqDxjg\nLOBn+RkQC4FTWw/JzKwYqRNsIy0l4IiYA3hs18xKq8wXYvhKODOrtMr2gM3MyqzsN+V0AjazSnMP\n2MwsEfeAzcwSqPRZEGZmZecEbDZIZs6cmaTd5cuXt73N9/LdiVNyAjYzS6Aft6VPwgnYzCrNPWAz\ns0ScgM3MEnECNjNLxAnYzCwBnwdsZpaQr4QzM0uksj1gSc8CrwOrgS7f983MymRtmA3tsIhYWUA9\nZmaFq2wP2Mys7KqcgAP4taTVwBUR0VlfQFIH0NFiO2ZmA1LlIYiDI2KppK2AuyU9GRH31RbIk3In\ngKTy/ikys8op+2loA74tPUBELM3/XQHcDIwvIigzs6KU+bb0A07AkjaStEn3MnAE8HhRgZmZFaHM\nCbiVIYgRwM2Suuv514i4o5CozMwKUuYhiAEn4IhYCOxVYCxmZoWrZAI2Myu7sk/I3tJBODOzsitq\nDFjSBElPSVog6bw+yu0nqUvScY3qdAI2s0orIgFLGgJcBkwExgInShrbS7nvA3c1E5sTsJlVVjPJ\nt8ke8HhgQUQsjIi3gOuBST2UOwu4CVjRTKUeA7ZCLFy4MEm7s2fPTtLuiBEj2t7m3nvv3fY2q6DJ\nBDtc0qya9c66K3tHAotr1pcA+9dWIGkk8CngMGC/Zhp1AjazSmsyAa8sYDbHi4BzI2JNfnpuQ07A\nZlZpBc0FsRTYtmZ9VP5crXHA9XnyHQ4cKakrIm7prVInYDOrrAKvdJsJjJE0mizxngCcVNfW6O5l\nSVcDt/WVfMEJ2MwqrogEHBFdks4E7gSGANMiYp6k0/PtUwdSrxOwmVVaUdNRRsQMYEbdcz0m3oj4\nu2bqdAI2s0rzpchmZgmsDfeEMzMrLfeAzcwScQI2M0ukzAm45bkgJA2R9Iik24oIyMysKAXOBTEo\niugBnw3MBzYtoC4zs0JVtgcsaRRwFHBlMeGYmRVrzZo1DR+ptNoDvgj4OrBJbwUkdQAdLbZjZjYg\nlewBS/prYEVE9DkfYER0RsS4AmYaMjPrlyqPAX8Y+KSkI4H1gU0lXRsRJxcTmplZ6yrZA46Ib0TE\nqIjYgWxmoN86+ZpZ2VS1B2xmVnqVvxQ5Iu4B7imiLjOzoqTu4TbiHrCZVZoTsJlZIk7AZoPk+eef\nTx1C28yZMyd1CO9JTsBmZok4AZuZJeAJ2c3MEnIP2MwsESdgM7MEPARhZpaQe8BmZok4AZuZJeIh\nCDOzBDwXhJlZQk7AZmaJOAGbmSVSyQQsaX3gPuB9eT03RsT5RQVmZtaqiGD16tWpw+hVKz3gN4GP\nRsQbktYD/kPS7RHxYEGxmZm1rJJnQUTWr38jX10vf5S3r29ma51KnwUhaQgwG9gJuCwiHuqhTAfQ\n0Uo7ZmYDVeYe8IDvigwQEasjYm9gFDBe0h49lOmMiHERMa6VtszMBqLMd0VuKQF3i4hXgN8BE4qo\nz8ysKEUlYEkTJD0laYGk83rY/hlJcyU9Jul+SXs1qnPACVjSlpKG5csbAB8HnhxofWZmRes+C6LR\no5F8uPUyYCIwFjhR0ti6Ys8Ah0TE/wAuADob1dvKGPAHgGvywNYBboiI21qoz8yscAWNAY8HFkTE\nQgBJ1wOTgCe6C0TE/TXlHyQbmu1TK2dBzAX2GejrrVoOPPDAJO1+6UtfStLulClT2t7m3Llz294m\nwOTJk5O0e8YZZ7RcRz+GGIZLmlWz3hkRtT3YkcDimvUlwP591PcF4PZGjfpKODOrtCYT8MqiThSQ\ndBhZAj64UVknYDOrtIKGIJYC29asj8qfexdJewJXAhMj4sVGlRZyFoSZWVkVdBbETGCMpNGShgIn\nALfWFpC0HTAd+GxEPN1Mpe4Bm1llFTUXRER0SToTuBMYAkyLiHmSTs+3TwW+A2wBXC4JoKvRsIYT\nsJlVWlEXWkTEDGBG3XNTa5a/CHyxP3U6AZtZZfmuyGZmCVV2Mh4zs7JzD9jMLIEqT8huZlZ6HoIw\nM0vECdjMLAGfBWFmlpB7wGZmibgHbGaWQNmHIFq5I8a2kn4n6QlJ8ySdXWRgZmZFWLNmTcNHKq30\ngLuAf4yIhyVtAsyWdHdEPNHohWZm7VLJMeCIWAYsy5dflzSfbNZ4J2AzK41KJuBaknYguz3RQ0XU\nZ2ZWhNS3nW+k5QQsaWPgJuCciHith+0dQEer7ZiZDURlE7Ck9ciS788iYnpPZfIb23Xm5cu7J8ys\nkso8F4QG+tdB2ZTv1wAvRcQ5zbxm3LhxMWvWrMYFzWytJ2l2qzfKHDp0aGy99dYNyy1evLjltgai\nlXvCfRj4LPBRSXPyx5EFxWVmVoiC7gk3KFo5C+I/ABUYi5lZ4So7BmxmVnZOwGZmCXhCdjOzhNwD\nNjNLxAnYzCwRJ2AzswRSn2bWiBOwmVVamecDdgI2s0pzAjYzS8BDEGZmCTkBm5kl4gRsZpaIx4DN\nzBLwGLCZWULuAZuZJeIesJlZImVOwK3cEQNJ0yStkPR4UQGZmRUlIlizZk3DRzMkTZD0lKQFks7r\nYbsk/TjfPlfShxrV2VICBq4GJrRYh5nZoCnilkSShgCXAROBscCJksbWFZsIjMkfHcCURvW2lIAj\n4j7gpVbqMDMbTAX1gMcDCyJiYUS8BVwPTKorMwn4aWQeBIZJ+kBflQ76GLCkDrK/BgBvlmC4Yjiw\nMnEMUI44yhADlCOOMsQA5YijDDEA7FJAHXeSvZ9G1pdUe8v2zojorFkfCSyuWV8C7F9XR09lRgLL\nemt00BNw/iY6ASTNSnHr51pliKEscZQhhrLEUYYYyhJHGWLojqPVOiKi1EOkrY4Bm5mtDZYC29as\nj8qf62+Zd3ECNjNrbCYwRtJoSUOBE4Bb68rcCpySnw1xAPBqRPQ6/ACtn4Z2HfAAsIukJZK+0OAl\nnQ22t0MZYoByxFGGGKAccZQhBihHHGWIAcoTBxHRBZxJNqY8H7ghIuZJOl3S6XmxGcBCYAHwE+CM\nRvWqzCcpm5lVmYcgzMwScQI2M0tkUBJwE5fs7SrpAUlvSvpqohg+k18u+Jik+yXtlSiOSXkccyTN\nknRwu2OoKbefpC5Jx7U7BkmHSno13w9zJH2n6BiaiaMmljmS5km6t90xSPpazX54XNJqSe9PEMdm\nkn4l6dF8X5yaIIbNJd2c/x/5g6Q9io4hqWYu0+vPAxgC/BHYERgKPAqMrSuzFbAf8F3gq4liOAjY\nPF+eCDyUKI6NeWcsfk/gyXbHUFPut2QHEo5LsB8OBW4r+jMYQBzDgCeA7bq/qyk+j5ryRwO/TbQv\nvgl8P1/ekuyq16FtjuEHwPn58q7AbwbzO9Lux2D0gBteshcRKyJiJvD2ILTfbAz3R8TL+eqDZOfs\npYjjjci/XcBGQNFHRZu5hBLgLOAmYEXB7fcnhsHWTBwnAdMjYhFk39UEMdQ6Ebiu4BiajSOATSSJ\nrKPwEtDV5hjGknUMiIgngR0kjSgwhqQGIwH3djleO/U3hi8At6eKQ9KnJD0J/Bvw+XbHIGkk8Cma\nmDxksGLIHZT/1Lxd0u6J4tgZ2FzSPZJmSzolQQwASNqQbLKrmwqOodk4LgV2A54DHgPOjogiZzdv\nJoZHgWMBJI0HtmdwOktJrPUH4SQdRpaAz00VQ0TcHBG7AscAFyQI4SLg3IL/c/XXw2Q/+/cELgFu\nSRTHusC+wFHAJ4BvS9o5USxHA7+PiFQTXn0CmANsA+wNXCpp0zbH8D2ySW3mkP1KewRY3eYYBs1g\nzAXR78vxUsUgaU/gSmBiRLyYKo5uEXGfpB0lDY+IoiZDaSaGccD12S9NhgNHSuqKiKKSYMMYIuK1\nmuUZki4veD80FQdZL+zFiFgFrJJ0H7AX8HQbY+h2AoMz/NBsHKcC38uHyBZIeoZsHPYP7Yoh/16c\nCtl8u8AzZBc7VEPRg8pkSX0hMJp3BtZ376XsZAbnIFzDGIDtyK5YOWiwBtibjGMn3jkI9yGyL6BS\nfB55+asp/iBcM/th65r9MB5YVOR+6EccuwG/yctuCDwO7NHuzwPYjGzMdaOE380pwOR8eUT+3Rze\n5hiGkR/4A04jm+6x8P2R6lF4DzgiuiR1X7I3BJgW+SV7+fapkrYGZgGbAmsknUN29PO1XisuOAbg\nO8AWwOV5z68rCp4Bqsk4Pk12/fjbwJ+B4yP/trUxhkHVZAzHAV+S1EW2H04ocj80G0dEzJd0BzAX\nWANcGRGFTaHaj8/jU8BdkfXEC9dkHBcAV0t6DBDZMFVhv0iajGE34BpJAcwjGy6sDF+KbGaWyFp/\nEM7MLBUnYDOzRJyAzcwScQI2M0vECdjMLBEnYDOzRJyAzcwS+f9Puka7QdU1YAAAAABJRU5ErkJg\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xc1d3d30>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "imshow_kwargs = {\n",
    "    'cmap': 'Greys_r', \n",
    "    'extent': [separation_ratios[0], separation_ratios[-1], sizes[0], sizes[-1]], \n",
    "    'vmin': 0.0,\n",
    "    'vmax': 1.0,\n",
    "    'aspect': 'auto'}\n",
    "\n",
    "plt.imshow(np.flip(probs, axis=0), **imshow_kwargs)\n",
    "plt.colorbar()\n",
    "plt.gca().set_title('Complex Amplitudes (m = 4)')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0 0\n",
      "0 1\n",
      "0 2\n",
      "0 3\n",
      "0 4\n",
      "0 5\n",
      "0 6\n",
      "0 7\n",
      "0 8\n",
      "0 9\n",
      "0 10\n",
      "0 11\n",
      "0 12\n",
      "0 13\n",
      "0 14\n",
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      "CPU times: user 4h 59min 28s, sys: 23min 41s, total: 5h 23min 9s\n",
      "Wall time: 3h 16min 24s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "\n",
    "probs_10 = phase_transition.grid_probabilities(\n",
    "    test_data.jittered_supports,\n",
    "    lambda size: test_data.uniform_sign_pattern_multidim(size, 10),\n",
    "    trig_poly.TrigPoly.dirichlet(fc),\n",
    "    dual_certificates.interpolate_multidim_with_derivative,\n",
    "    sizes,\n",
    "    separations,\n",
    "    num_experiments=10,\n",
    "    verbose=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x1337d0bd0>"
      ]
     },
     "execution_count": 75,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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JEmtPAfcAR6bZjgdubVYlzcwGIyLYsmVL3a0oeVrA44Ar0xXhtyJZ8f02SU8C10s6B3gU\nuKyJ9bQR6v7776+6/9xzz808ZuPGjZlpHiFhraRuAI6IZcD0KvtXkawSb2bWslq5C8JTkc2sozkA\nm5kVxAHYzKwgDsBmg3TAAQdU3b9mzZqq+wG6u7sz02xkKY2CaFUOwGbW0dwCNjMrSCsHYK8HbGZW\nELeAzayjtXIL2AHYzDpW0aud1eMAbIUbzKiFMWPGNKEm1ok8CsLMrCBuAZuZFcQB2MysAK3eB+xh\naGZmBXEL2Fpa1nrAfiqy5eWbcGZmBWnlLggHYDPraA7AZmYFaPWbcA7AZtbRWjkA53kqcrekeyQ9\nJWm5pC+k+8+S9IKkx9JtXvOra2Y2MKVWcK2tKHlawJuAUyPi55J2AB6RdFeadmFEfKt51bORYM6c\nOQM+xlORLa9WbgHneSryWmBt+vo1SU8B45tdMTOzoWr1J2IMaCKGpEkkj6h/KN11kqRlki6XVLVJ\nImmRpD5JfUOqqZnZIDSqC0LSXElPS1op6fSMPEdJejLtrr22Xpm5A7Ck7YF/Bk6OiP8ALgYmA9NI\nWsjnVzsuInojYkZEzMh7LjOzRmlEAJY0CrgIOBSYAiyQNKUiTw9wBjArIvYBTq5Xbq4ALGk0SfC9\nJiJ+lF7UyxGxOSK2AJcC++Upy8xsODWoBbwfsDIiVkXEG8D1wPyKPJ8CLoqIDel519UrtG4fsCQB\nlwFPRcQFZfvHpf3DAH8OPJHnKswqrV69OjNtwoQJVfd7KrLlERFs3rw5T9axFd2kvRHRW/Z+PFD+\nKO5+YP+KMvYCkPRTYBRwVkT8S62T5hkFMQs4Dnhc0mPpvi+RNMGnAQE8B3w6R1lmZsMqZwt3fZ1u\nUlUruuL91kAPMBvoAn4iad+IeCWr0DyjIO7LOPmSeseamRWtQcPQ+oHyR7d0AS9WyfNgRPwBeFbS\n0yQB+eGsQr0cpZl1tAb1AT8M9EjaU9I2wDHA4oo8twBzACSNJemSWFWrUE9FNrOO1ahxwBGxSdJJ\nwB0k/buXR8RySWcDfRGxOE07RNKTwGbgtIj4Va1yHYDNrKM1aiZcRCyhous1Is4sex3AKemWiwOw\ntbSsERKeimx5tfJMOAdgM+tYrT4V2QHYzDpaWy/GY2bWzhyAzcwK4gBsVsMBBxyQmTZr1qxhrIl1\nmqIXXK/HAdjMOlrOtSAK4QBsZh3NLWAzswK4C8LMrEAeB2xmVhC3gM1quP/++zPTurq6qu73guyW\nh2fCmZkVyC1gM7OCuAVsZlYAj4IwMytQWwdgSd3AD4A9gC0kTwv9jqRdgBuASSQP5Tyq9Dhms4Go\nNRV55syZVfd3d3dX3W9WqZUDcJ5nwm0CTo2IvYGZwGclTQFOB+6OiB7g7vS9mVnLKD2Wvt5WlLoB\nOCLWRsTP09evAU8B44H5wJVptiuBI5pVSTOzwWrQQzmbYkB9wJImAdOBh4DdI2ItJEFa0m4ZxywC\nFg2tmmZmg9PKXRC5A7Ck7YF/Bk6OiP+QlOu4iOgFetMyWveTMLOO1PYBWNJokuB7TUT8KN39sqRx\naet3HLCuWZW0znbVVVdlpmWtB9zT05N5jGfCWblWDsB1+4CVNHUvA56KiAvKkhYDx6evjwdubXz1\nzMwGL0//b6v3Ac8CjgMel/RYuu9LwDeAGyWdAKwGPtqcKpqZDV5bz4SLiPuArA7fgxpbHTOzxmrl\nLgjPhDOzjuXV0MzMCuQWsFkNxx13XGbaeeedV3X/1KlTM4/xKAgr5wBsZlYQd0GYmRWg6GFm9TgA\nm1lHcwA2MyuIA7BZDVkP3gS44IILqu4fM2ZMs6pjHcYB2MysIA7AZmYFKC3I3qryPBHDzKxtNWox\nHklzJT0taaWkzCcASTpSUkiaUa9MB2Az62iNCMCSRgEXAYcCU4AF6aPZKvPtAHye5KEVdTkAm1nH\nauBylPsBKyNiVUS8AVxP8li2Sl8Hvgn8Pk+h7gO2wk2cODEzbezYsVX3e7qx5ZUzwI6V1Ff2vjd9\nmk/JeGBN2ft+YP/yAiRNB7oj4jZJX8xzUgdgM+toOQPw+oio1WdbbUneNwuWtBVwIfDxgdTNAdjM\nOlqD1oLoB7rL3ncBL5a93wHYF1iaPi9zD2CxpMMjorxl/RYOwGbWsRq4FsTDQI+kPYEXgGOAj5Wd\n51Xgzf4ySUuBL9YKvuCbcGbW4RpxEy4iNgEnAXcATwE3RsRySWdLOnywdXML2IbF7NmzM9PGjRuX\nmdbd3Z2ZZpZHo5ajjIglwJKKfWdm5J2dp8w8T0W+XNI6SU+U7TtL0guSHku3eXlOZmY23Fr5qch5\nuiCuAOZW2X9hRExLtyVV0s3MClV6Jly9rSh5nop8r6RJza+KmVnjtfJiPEO5CXeSpGVpF0Xm2oCS\nFknqqxjkbGY2LNq9C6Kai4HJwDRgLXB+VsaI6I2IGXUGOZuZNUUrB+BBjYKIiJdLryVdCtzWsBrZ\niLN27drMtJ6enqr7PRXZ8ig6wNYzqBawpPJxQ38OPJGV18ysSG3dApZ0HTCbZLGKfuCrwGxJ00jm\nQj8HfLqJdTQzG7S2fix9RCyosvuyJtTFzKzhWrkLwjPhzKxjFd3FUI8DsA2LpUuXZqYdcMABmWlT\np06tut834SwvB2Azs4I4AJuZFaStb8KZmbUr9wGbmRXIAdjMrCAOwGY1zJo1KzNtzJjMdZ7McnEA\nNjMriAOwmVkBSguytyoHYDPraG4Bm5kVxAHYRryFCxdmph144IGZaRs2bKi631ORLQ93QZiZFcgt\nYDOzgjgAm5kVxF0QZmYF8FoQNqLMnj276v5zzjkn85gVK1Zkpk2fPn2oVbIRrpUDcN2Hckq6XNI6\nSU+U7dtF0l2SVqT/er6ombWkVn4oZ56nIl8BzK3Ydzpwd0T0AHen783MWk5bB+CIuBf4dcXu+cCV\n6esrgSMaXC8zsyGLCDZv3lx3K8pg+4B3j4i1ABGxVtJuDayTmVnDjOhREJIWAYuafR4zs0pFdzHU\nM9gA/LKkcWnrdxywLitjRPQCvQCSWveTsNyyRjrU8vjjj2emzZs3bwi1MautlVvAeW7CVbMYOD59\nfTxwa2OqY2bWWG19E07SdcADwJ9I6pd0AvAN4MOSVgAfTt+bmbWcRgVgSXMlPS1ppaS3jfySdIqk\nJyUtk3S3pIn1yqzbBRERCzKSDspRZzOzwpRGQQyVpFHARSQNzn7gYUmLI+LJsmyPAjMi4reSTgS+\nCRxdq9zBdkGYmbWFLVu21N1y2A9YGRGrIuIN4HqS4bhvioh7IuK36dsHga56hXoqslXV3d2dmfbM\nM89kpk2ePLnq/qlTp2Yes3Hjxsw0r/trQzGALoaxkvrK3vemAwhKxgNryt73A/vXKO8E4PZ6J3UA\nNrOOljMAr4+IGTXSVa3oqhmlY4EZwAfrndQB2Mw6WoOGofUD5V8Lu4AXKzNJOhj4MvDBiHi9XqHu\nAzazjtagURAPAz2S9pS0DXAMyXDcN0maDlwCHB4RmXMjyrkFbGYdq1GjICJik6STgDuAUcDlEbFc\n0tlAX0QsBs4Dtgd+KAlgdUQcXqtcB2Az62iNmmgREUuAJRX7zix7ffBAy3QAtqrWrFmTmVZrhMRR\nRx1Vdf+YMYNbMjprhIRHR1gefiqymVmBOnExHjOztuAWsJlZARp1E65ZHIDNrKO5C8LaTq0bbWec\ncUZm2mGHHTbgc/mGmjWTA7CZWQE8CsLMrEBuAZuZFcQtYDOzArgLwsysQA7A1pIWLlyYmdbVlb2Y\nf62RDoOdcmzWLB3bByzpOeA1YDOwqc6CxmZmw65jA3BqTkSsb0A5ZmYNVfRj5+txF4SZdbRODsAB\n3CkpgEsqHmIHgKRFwKIhnsfMbFA6eS2IWRHxoqTdgLsk/XtE3FueIQ3KvQBpoLYmqDV1eM6cOVX3\nH3300ZnHHHjggYOqh6cVWytp9S6IIT0TLiJeTP9dB9wM7NeISpmZNUqDngnXFIMOwJLeKWmH0mvg\nEOCJRlXMzKwRWjkAD6ULYnfg5vThc1sD10bEvzSkVmZmDdLKXRCDDsARsQp4bwPrYmbWUF6Q3cys\nQB3ZArbhN5iRDpA92mHq1KmZx3g0g3UKB2Azs4I4AJuZFaDoUQ71OACbWUfzcpRmZgVxAB6hBnvT\nbObMmVX311qHt9a5zEYqd0GYmRXIAdjMrCAOwGZmBXEfsJlZAdwHbGZWILeAU+9///vp6+sbzlOa\n2QjnFrCZWUFaOQAP6YkYZmatLCLYsmVL3S0PSXMlPS1ppaTTq6RvK+mGNP0hSZPqlekAbGYdrRFP\nxJA0CrgIOBSYAiyQNKUi2wnAhoh4D3Ah8A/1ynUANrOO1qAW8H7AyohYFRFvANcD8yvyzAeuTF/f\nBByk9JFBWYa1D/iRRx5ZL+n54TznII0F1hddiSbr9Gv09bW/P2lAGXeQfFb1bCepfIRAb/pE95Lx\nwJqy9/3A/hVlvJknIjZJehV4FzV+TsMagCNi1+E832BJ6ouIGUXXo5k6/Rp9fe2vIiAOSkTMbURd\ngGot2cq+izx53sJdEGZm9fUD5StedQEvZuWRtDWwE/DrWoU6AJuZ1fcw0CNpT0nbAMcAiyvyLAaO\nT18fCfw46tzh8zjg6nrrZ2l7nX6Nvr721zLXmPbpnkTSpzwKuDwilks6G+iLiMXAZcBVklaStHyP\nqVeuWnmQsplZJ3MXhJlZQRyAzcwKMqIDcI6phadIelLSMkl3S5pYRD0Hq971leU7UlJIarthTXmu\nUdJR6c9xuaRrh7uOQ5Hjd3SCpHskPZr+ns4rop6DJelySeskPZGRLknfTa9/maT3DXcdmyrPNL1O\n3Eg60p8B/hjYBvgFMKUizxzgHenrE4Ebiq53I68vzbcDcC/wIDCj6Ho34WfYAzwKjEnf71Z0vRt8\nfb3AienrKcBzRdd7gNd4IPA+4ImM9HnA7SRjbGcCDxVd50ZuI7kFXHdqYUTcExG/Td8+SDL2r13k\nmToJ8HXgm8Dvh7NyDZLnGj8FXBQRGwAiYt0w13Eo8lxfADumr3fi7WNTW1pE3EvtsbLzgR9E4kFg\nZ0njhqd2zTeSA3C1qYXja+Q/geR/4nZR9/okTQe6I+K24axYA+X5Ge4F7CXpp5IelNSomVHDIc/1\nnQUcK6kfWAJ8bniqNmwG+nfaVkbyOODc0wYlHQvMAD7Y1Bo1Vs3rk7QVyYpNHx+uCjVBnp/h1iTd\nELNJvsH8RNK+EfFKk+vWCHmubwFwRUScL+kDJONQ942I1n0MxMAMeHpvOxnJLeA8UwuRdDDwZeDw\niHh9mOrWCPWubwdgX2CppOdI+tcWt9mNuLzTQ2+NiD9ExLPA0yQBuR3kub4TgBsBIuIBYDvyLT7T\nLnL9nbarkRyA604tTL+iX0ISfNup7xDqXF9EvBoRYyNiUkRMIunjPjwi2umZUXmmh95CcjMVSWNJ\nuiRWDWstBy/P9a0GDgKQtDdJAP7lsNayuRYDC9PREDOBVyNibdGVapQR2wUR+aYWngdsD/wwXdZz\ndUQcXlilByDn9bW1nNd4B3CIpCeBzcBpEfGr4mqdX87rOxW4VNJfk3w1/3ikwwfagaTrSLqHxqb9\n2F8FRgNExPdJ+rXnASuB3wKfKKamzeGpyGZmBRnJXRBmZoVyADYzK4gDsJlZQRyAzcwK4gBsZlYQ\nB2Azs4I4AJuZFeT/AaVXAJXhNTrWAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1337f1950>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "imshow_kwargs = {\n",
    "    'cmap': 'Greys_r', \n",
    "    'extent': [separation_ratios[0], separation_ratios[-1], sizes[0], sizes[-1]], \n",
    "    'vmin': 0.0,\n",
    "    'vmax': 1.0,\n",
    "    'aspect': 'auto'}\n",
    "\n",
    "plt.imshow(np.flip(probs_10, axis=0), **imshow_kwargs)\n",
    "plt.colorbar()\n",
    "plt.gca().set_title('Complex Amplitudes (m = 10)')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Timing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The line_profiler extension is already loaded. To reload it, use:\n",
      "  %reload_ext line_profiler\n"
     ]
    }
   ],
   "source": [
    "%load_ext line_profiler"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0 0\n"
     ]
    }
   ],
   "source": [
    "reload(phase_transition)\n",
    "reload(test_data)\n",
    "reload(dual_certificates)\n",
    "\n",
    "fc = 30\n",
    "m = 4\n",
    "\n",
    "sizes = np.array([5])\n",
    "min_separations = np.array([0.5]) / float(fc)\n",
    "\n",
    "# dual_certificates.interpolate_multidim_wDer\n",
    "# trig_poly.TrigPoly.__add__\n",
    "\n",
    "%lprun -f trig_poly.TrigPoly.eval phase_transition.grid_probabilities(test_data.jittered_supports,lambda size: test_data.uniform_sign_pattern_multidim(size, m),trig_poly.TrigPoly.dirichlet(fc),dual_certificates.interpolate_multidim_wDer,sizes,min_separations,num_experiments=10,verbose=True)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}