Non-Cartesian Panel Mapping.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    }
   ],
   "source": [
    "%pylab inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Make a pixel panel object"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "xdim = 32\n",
    "ydim = 16\n",
    "panel_xvals=np.append([],[[x for x in range(0,xdim)] for y in range(0,ydim)])\n",
    "panel_yvals=np.append([],[[y for x in range(0,xdim)] for y in range(0,ydim)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(panel_xvals,panel_yvals,\"*\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Test affine transform of panel"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "def rot_matrix(angle, matrix):\n",
    "    rot_sin = np.sin(angle*np.pi/180)\n",
    "    rot_cos = np.cos(angle*np.pi/180)\n",
    "    rot = np.array([[rot_cos, -rot_sin, 0],\n",
    "                [rot_sin, rot_cos,  0],\n",
    "                [0,             0,  1]])\n",
    "    return rot @ matrix\n",
    "\n",
    "def trans_matrix(x, y, matrix):\n",
    "    trans = np.array([[1,   0,   x],\n",
    "                      [0,   1,   y],\n",
    "                      [0,   0,   1]])\n",
    "    return trans @ matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "panel = np.array([panel_xvals, panel_yvals, np.ones(len(panel_xvals))])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "testpanel = rot_matrix(30, panel)\n",
    "plt.figure(figsize=[12,12])\n",
    "plt.gca().set_aspect(1.0)\n",
    "plot(testpanel[0],testpanel[1],\"*\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Generate translated and rotated panels in the form of a C array"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "panel = np.array([panel_xvals, panel_yvals, np.ones(len(panel_xvals))])\n",
    "\n",
    "panel_prerot = rot_matrix(62,panel)\n",
    "\n",
    "panel_trans = trans_matrix(33, 0, panel_prerot)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[  0.  40.  80. 120. 160. 200. 240. 280. 320.]\n"
     ]
    }
   ],
   "source": [
    "angles = linspace(0,360,10)[0:-1]\n",
    "print(angles)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "def to_c_array(values, ctype=\"float\", name=\"table\", formatter=str, colcount=8):\n",
    "    # apply formatting to each element\n",
    "    values = [formatter(v) for v in values]\n",
    "\n",
    "    # split into rows with up to `colcount` elements per row\n",
    "    rows = [values[i:i+colcount] for i in range(0, len(values), colcount)]\n",
    "\n",
    "    # separate elements with commas, separate rows with newlines\n",
    "    body = ',\\n    '.join([', '.join(r) for r in rows])\n",
    "\n",
    "    # assemble components into the complete string\n",
    "    return f'   {{{body}}}'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=[12,12])\n",
    "plt.gca().set_aspect(1.0)\n",
    "\n",
    "panel_cnt = 0\n",
    "\n",
    "for a in angles:\n",
    "    panel_rot = rot_matrix(a, panel_trans)\n",
    "    plot(panel_rot[0],panel_rot[1],\".\");\n",
    "    panel_xvals_q = np.round(panel_rot[0]*32768).astype(int)\n",
    "    panel_yvals_q = np.round(panel_rot[1]*32768).astype(int)\n",
    "\n",
    "    panel_cnt = panel_cnt + 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "int32_t panel0[2][512] = { // panel0 begin\n",
      "   // x values\n",
      "   {1081344, 1096728, 1112111, 1127495, 1142879, 1158262, 1173646, 1189030,\n",
      "    1204413, 1219797, 1235180, 1250564, 1265948, 1281331, 1296715, 1312099,\n",
      "    1327482, 1342866, 1358250, 1373633, 1389017, 1404401, 1419784, 1435168,\n",
      "    1450551, 1465935, 1481319, 1496702, 1512086, 1527470, 1542853, 1558237,\n",
      "    1052412, 1067795, 1083179, 1098563, 1113946, 1129330, 1144713, 1160097,\n",
      "    1175481, 1190864, 1206248, 1221632, 1237015, 1252399, 1267783, 1283166,\n",
      "    1298550, 1313934, 1329317, 1344701, 1360084, 1375468, 1390852, 1406235,\n",
      "    1421619, 1437003, 1452386, 1467770, 1483154, 1498537, 1513921, 1529305,\n",
      "    1023479, 1038863, 1054246, 1069630, 1085014, 1100397, 1115781, 1131165,\n",
      "    1146548, 1161932, 1177316, 1192699, 1208083, 1223467, 1238850, 1254234,\n",
      "    1269617, 1285001, 1300385, 1315768, 1331152, 1346536, 1361919, 1377303,\n",
      "    1392687, 1408070, 1423454, 1438838, 1454221, 1469605, 1484988, 1500372,\n",
      "    994547, 1009930, 1025314, 1040698, 1056081, 1071465, 1086849, 1102232,\n",
      "    1117616, 1133000, 1148383, 1163767, 1179150, 1194534, 1209918, 1225301,\n",
      "    1240685, 1256069, 1271452, 1286836, 1302220, 1317603, 1332987, 1348371,\n",
      "    1363754, 1379138, 1394521, 1409905, 1425289, 1440672, 1456056, 1471440,\n",
      "    965614, 980998, 996382, 1011765, 1027149, 1042533, 1057916, 1073300,\n",
      "    1088683, 1104067, 1119451, 1134834, 1150218, 1165602, 1180985, 1196369,\n",
      "    1211753, 1227136, 1242520, 1257904, 1273287, 1288671, 1304054, 1319438,\n",
      "    1334822, 1350205, 1365589, 1380973, 1396356, 1411740, 1427124, 1442507,\n",
      "    936682, 952066, 967449, 982833, 998216, 1013600, 1028984, 1044367,\n",
      "    1059751, 1075135, 1090518, 1105902, 1121286, 1136669, 1152053, 1167437,\n",
      "    1182820, 1198204, 1213587, 1228971, 1244355, 1259738, 1275122, 1290506,\n",
      "    1305889, 1321273, 1336657, 1352040, 1367424, 1382808, 1398191, 1413575,\n",
      "    907749, 923133, 938517, 953900, 969284, 984668, 1000051, 1015435,\n",
      "    1030819, 1046202, 1061586, 1076970, 1092353, 1107737, 1123120, 1138504,\n",
      "    1153888, 1169271, 1184655, 1200039, 1215422, 1230806, 1246190, 1261573,\n",
      "    1276957, 1292341, 1307724, 1323108, 1338491, 1353875, 1369259, 1384642,\n",
      "    878817, 894201, 909584, 924968, 940352, 955735, 971119, 986503,\n",
      "    1001886, 1017270, 1032653, 1048037, 1063421, 1078804, 1094188, 1109572,\n",
      "    1124955, 1140339, 1155723, 1171106, 1186490, 1201874, 1217257, 1232641,\n",
      "    1248024, 1263408, 1278792, 1294175, 1309559, 1324943, 1340326, 1355710,\n",
      "    849885, 865268, 880652, 896036, 911419, 926803, 942186, 957570,\n",
      "    972954, 988337, 1003721, 1019105, 1034488, 1049872, 1065256, 1080639,\n",
      "    1096023, 1111407, 1126790, 1142174, 1157557, 1172941, 1188325, 1203708,\n",
      "    1219092, 1234476, 1249859, 1265243, 1280627, 1296010, 1311394, 1326778,\n",
      "    820952, 836336, 851719, 867103, 882487, 897870, 913254, 928638,\n",
      "    944021, 959405, 974789, 990172, 1005556, 1020940, 1036323, 1051707,\n",
      "    1067090, 1082474, 1097858, 1113241, 1128625, 1144009, 1159392, 1174776,\n",
      "    1190160, 1205543, 1220927, 1236311, 1251694, 1267078, 1282461, 1297845,\n",
      "    792020, 807403, 822787, 838171, 853554, 868938, 884322, 899705,\n",
      "    915089, 930473, 945856, 961240, 976623, 992007, 1007391, 1022774,\n",
      "    1038158, 1053542, 1068925, 1084309, 1099693, 1115076, 1130460, 1145844,\n",
      "    1161227, 1176611, 1191994, 1207378, 1222762, 1238145, 1253529, 1268913,\n",
      "    763087, 778471, 793855, 809238, 824622, 840006, 855389, 870773,\n",
      "    886156, 901540, 916924, 932307, 947691, 963075, 978458, 993842,\n",
      "    1009226, 1024609, 1039993, 1055377, 1070760, 1086144, 1101527, 1116911,\n",
      "    1132295, 1147678, 1163062, 1178446, 1193829, 1209213, 1224597, 1239980,\n",
      "    734155, 749539, 764922, 780306, 795689, 811073, 826457, 841840,\n",
      "    857224, 872608, 887991, 903375, 918759, 934142, 949526, 964910,\n",
      "    980293, 995677, 1011060, 1026444, 1041828, 1057211, 1072595, 1087979,\n",
      "    1103362, 1118746, 1134130, 1149513, 1164897, 1180281, 1195664, 1211048,\n",
      "    705222, 720606, 735990, 751373, 766757, 782141, 797524, 812908,\n",
      "    828292, 843675, 859059, 874443, 889826, 905210, 920593, 935977,\n",
      "    951361, 966744, 982128, 997512, 1012895, 1028279, 1043663, 1059046,\n",
      "    1074430, 1089814, 1105197, 1120581, 1135964, 1151348, 1166732, 1182115,\n",
      "    676290, 691674, 707057, 722441, 737825, 753208, 768592, 783976,\n",
      "    799359, 814743, 830126, 845510, 860894, 876277, 891661, 907045,\n",
      "    922428, 937812, 953196, 968579, 983963, 999347, 1014730, 1030114,\n",
      "    1045497, 1060881, 1076265, 1091648, 1107032, 1122416, 1137799, 1153183,\n",
      "    647358, 662741, 678125, 693509, 708892, 724276, 739659, 755043,\n",
      "    770427, 785810, 801194, 816578, 831961, 847345, 862729, 878112,\n",
      "    893496, 908880, 924263, 939647, 955030, 970414, 985798, 1001181,\n",
      "    1016565, 1031949, 1047332, 1062716, 1078100, 1093483, 1108867, 1124251},\n",
      "   // y values\n",
      "   {0, 28932, 57865, 86797, 115730, 144662, 173595, 202527,\n",
      "    231459, 260392, 289324, 318257, 347189, 376122, 405054, 433986,\n",
      "    462919, 491851, 520784, 549716, 578649, 607581, 636513, 665446,\n",
      "    694378, 723311, 752243, 781176, 810108, 839040, 867973, 896905,\n",
      "    15384, 44316, 73248, 102181, 131113, 160046, 188978, 217911,\n",
      "    246843, 275775, 304708, 333640, 362573, 391505, 420438, 449370,\n",
      "    478302, 507235, 536167, 565100, 594032, 622965, 651897, 680829,\n",
      "    709762, 738694, 767627, 796559, 825492, 854424, 883356, 912289,\n",
      "    30767, 59700, 88632, 117565, 146497, 175429, 204362, 233294,\n",
      "    262227, 291159, 320092, 349024, 377956, 406889, 435821, 464754,\n",
      "    493686, 522619, 551551, 580483, 609416, 638348, 667281, 696213,\n",
      "    725146, 754078, 783010, 811943, 840875, 869808, 898740, 927673,\n",
      "    46151, 75083, 104016, 132948, 161881, 190813, 219745, 248678,\n",
      "    277610, 306543, 335475, 364408, 393340, 422272, 451205, 480137,\n",
      "    509070, 538002, 566935, 595867, 624799, 653732, 682664, 711597,\n",
      "    740529, 769462, 798394, 827326, 856259, 885191, 914124, 943056,\n",
      "    61535, 90467, 119399, 148332, 177264, 206197, 235129, 264062,\n",
      "    292994, 321926, 350859, 379791, 408724, 437656, 466589, 495521,\n",
      "    524453, 553386, 582318, 611251, 640183, 669116, 698048, 726980,\n",
      "    755913, 784845, 813778, 842710, 871643, 900575, 929507, 958440,\n",
      "    76918, 105851, 134783, 163716, 192648, 221580, 250513, 279445,\n",
      "    308378, 337310, 366242, 395175, 424107, 453040, 481972, 510905,\n",
      "    539837, 568769, 597702, 626634, 655567, 684499, 713432, 742364,\n",
      "    771296, 800229, 829161, 858094, 887026, 915959, 944891, 973823,\n",
      "    92302, 121234, 150167, 179099, 208032, 236964, 265896, 294829,\n",
      "    323761, 352694, 381626, 410559, 439491, 468423, 497356, 526288,\n",
      "    555221, 584153, 613086, 642018, 670950, 699883, 728815, 757748,\n",
      "    786680, 815613, 844545, 873477, 902410, 931342, 960275, 989207,\n",
      "    107686, 136618, 165550, 194483, 223415, 252348, 281280, 310212,\n",
      "    339145, 368077, 397010, 425942, 454875, 483807, 512739, 541672,\n",
      "    570604, 599537, 628469, 657402, 686334, 715266, 744199, 773131,\n",
      "    802064, 830996, 859929, 888861, 917793, 946726, 975658, 1004591,\n",
      "    123069, 152002, 180934, 209866, 238799, 267731, 296664, 325596,\n",
      "    354529, 383461, 412393, 441326, 470258, 499191, 528123, 557056,\n",
      "    585988, 614920, 643853, 672785, 701718, 730650, 759583, 788515,\n",
      "    817447, 846380, 875312, 904245, 933177, 962110, 991042, 1019974,\n",
      "    138453, 167385, 196318, 225250, 254183, 283115, 312047, 340980,\n",
      "    369912, 398845, 427777, 456709, 485642, 514574, 543507, 572439,\n",
      "    601372, 630304, 659236, 688169, 717101, 746034, 774966, 803899,\n",
      "    832831, 861763, 890696, 919628, 948561, 977493, 1006426, 1035358,\n",
      "    153836, 182769, 211701, 240634, 269566, 298499, 327431, 356363,\n",
      "    385296, 414228, 443161, 472093, 501026, 529958, 558890, 587823,\n",
      "    616755, 645688, 674620, 703553, 732485, 761417, 790350, 819282,\n",
      "    848215, 877147, 906080, 935012, 963944, 992877, 1021809, 1050742,\n",
      "    169220, 198153, 227085, 256017, 284950, 313882, 342815, 371747,\n",
      "    400679, 429612, 458544, 487477, 516409, 545342, 574274, 603206,\n",
      "    632139, 661071, 690004, 718936, 747869, 776801, 805733, 834666,\n",
      "    863598, 892531, 921463, 950396, 979328, 1008260, 1037193, 1066125,\n",
      "    184604, 213536, 242469, 271401, 300333, 329266, 358198, 387131,\n",
      "    416063, 444996, 473928, 502860, 531793, 560725, 589658, 618590,\n",
      "    647523, 676455, 705387, 734320, 763252, 792185, 821117, 850050,\n",
      "    878982, 907914, 936847, 965779, 994712, 1023644, 1052577, 1081509,\n",
      "    199987, 228920, 257852, 286785, 315717, 344650, 373582, 402514,\n",
      "    431447, 460379, 489312, 518244, 547176, 576109, 605041, 633974,\n",
      "    662906, 691839, 720771, 749703, 778636, 807568, 836501, 865433,\n",
      "    894366, 923298, 952230, 981163, 1010095, 1039028, 1067960, 1096893,\n",
      "    215371, 244303, 273236, 302168, 331101, 360033, 388966, 417898,\n",
      "    446830, 475763, 504695, 533628, 562560, 591493, 620425, 649357,\n",
      "    678290, 707222, 736155, 765087, 794020, 822952, 851884, 880817,\n",
      "    909749, 938682, 967614, 996547, 1025479, 1054411, 1083344, 1112276,\n",
      "    230755, 259687, 288620, 317552, 346484, 375417, 404349, 433282,\n",
      "    462214, 491147, 520079, 549011, 577944, 606876, 635809, 664741,\n",
      "    693673, 722606, 751538, 780471, 809403, 838336, 867268, 896200,\n",
      "    925133, 954065, 982998, 1011930, 1040863, 1069795, 1098727, 1127660}\n",
      "}; // panel0 end\n",
      "\n",
      "int32_t panel1[2][512] = { // panel1 begin\n",
      "   // x values\n",
      "   {828358, 821545, 814732, 807919, 801106, 794293, 787480, 780668,\n",
      "    773855, 767042, 760229, 753416, 746603, 739791, 732978, 726165,\n",
      "    719352, 712539, 705726, 698913, 692101, 685288, 678475, 671662,\n",
      "    664849, 658036, 651223, 644411, 637598, 630785, 623972, 617159,\n",
      "    796306, 789493, 782680, 775867, 769054, 762241, 755429, 748616,\n",
      "    741803, 734990, 728177, 721364, 714551, 707739, 700926, 694113,\n",
      "    687300, 680487, 673674, 666861, 660049, 653236, 646423, 639610,\n",
      "    632797, 625984, 619172, 612359, 605546, 598733, 591920, 585107,\n",
      "    764254, 757441, 750628, 743815, 737002, 730189, 723377, 716564,\n",
      "    709751, 702938, 696125, 689312, 682499, 675687, 668874, 662061,\n",
      "    655248, 648435, 641622, 634810, 627997, 621184, 614371, 607558,\n",
      "    600745, 593932, 587120, 580307, 573494, 566681, 559868, 553055,\n",
      "    732202, 725389, 718576, 711763, 704950, 698137, 691325, 684512,\n",
      "    677699, 670886, 664073, 657260, 650448, 643635, 636822, 630009,\n",
      "    623196, 616383, 609570, 602758, 595945, 589132, 582319, 575506,\n",
      "    568693, 561880, 555068, 548255, 541442, 534629, 527816, 521003,\n",
      "    700150, 693337, 686524, 679711, 672898, 666086, 659273, 652460,\n",
      "    645647, 638834, 632021, 625208, 618396, 611583, 604770, 597957,\n",
      "    591144, 584331, 577518, 570706, 563893, 557080, 550267, 543454,\n",
      "    536641, 529829, 523016, 516203, 509390, 502577, 495764, 488951,\n",
      "    668098, 661285, 654472, 647659, 640846, 634034, 627221, 620408,\n",
      "    613595, 606782, 599969, 593157, 586344, 579531, 572718, 565905,\n",
      "    559092, 552279, 545467, 538654, 531841, 525028, 518215, 511402,\n",
      "    504589, 497777, 490964, 484151, 477338, 470525, 463712, 456900,\n",
      "    636046, 629233, 622420, 615607, 608795, 601982, 595169, 588356,\n",
      "    581543, 574730, 567917, 561105, 554292, 547479, 540666, 533853,\n",
      "    527040, 520227, 513415, 506602, 499789, 492976, 486163, 479350,\n",
      "    472538, 465725, 458912, 452099, 445286, 438473, 431660, 424848,\n",
      "    603994, 597181, 590368, 583555, 576743, 569930, 563117, 556304,\n",
      "    549491, 542678, 535865, 529053, 522240, 515427, 508614, 501801,\n",
      "    494988, 488176, 481363, 474550, 467737, 460924, 454111, 447298,\n",
      "    440486, 433673, 426860, 420047, 413234, 406421, 399608, 392796,\n",
      "    571942, 565129, 558316, 551503, 544691, 537878, 531065, 524252,\n",
      "    517439, 510626, 503814, 497001, 490188, 483375, 476562, 469749,\n",
      "    462936, 456124, 449311, 442498, 435685, 428872, 422059, 415246,\n",
      "    408434, 401621, 394808, 387995, 381182, 374369, 367557, 360744,\n",
      "    539890, 533077, 526264, 519452, 512639, 505826, 499013, 492200,\n",
      "    485387, 478574, 471762, 464949, 458136, 451323, 444510, 437697,\n",
      "    430884, 424072, 417259, 410446, 403633, 396820, 390007, 383195,\n",
      "    376382, 369569, 362756, 355943, 349130, 342317, 335505, 328692,\n",
      "    507838, 501025, 494212, 487400, 480587, 473774, 466961, 460148,\n",
      "    453335, 446523, 439710, 432897, 426084, 419271, 412458, 405645,\n",
      "    398833, 392020, 385207, 378394, 371581, 364768, 357955, 351143,\n",
      "    344330, 337517, 330704, 323891, 317078, 310265, 303453, 296640,\n",
      "    475786, 468973, 462161, 455348, 448535, 441722, 434909, 428096,\n",
      "    421283, 414471, 407658, 400845, 394032, 387219, 380406, 373593,\n",
      "    366781, 359968, 353155, 346342, 339529, 332716, 325904, 319091,\n",
      "    312278, 305465, 298652, 291839, 285026, 278214, 271401, 264588,\n",
      "    443734, 436921, 430109, 423296, 416483, 409670, 402857, 396044,\n",
      "    389231, 382419, 375606, 368793, 361980, 355167, 348354, 341542,\n",
      "    334729, 327916, 321103, 314290, 307477, 300664, 293852, 287039,\n",
      "    280226, 273413, 266600, 259787, 252974, 246162, 239349, 232536,\n",
      "    411682, 404869, 398057, 391244, 384431, 377618, 370805, 363992,\n",
      "    357180, 350367, 343554, 336741, 329928, 323115, 316302, 309490,\n",
      "    302677, 295864, 289051, 282238, 275425, 268612, 261800, 254987,\n",
      "    248174, 241361, 234548, 227735, 220923, 214110, 207297, 200484,\n",
      "    379630, 372818, 366005, 359192, 352379, 345566, 338753, 331940,\n",
      "    325128, 318315, 311502, 304689, 297876, 291063, 284250, 277438,\n",
      "    270625, 263812, 256999, 250186, 243373, 236561, 229748, 222935,\n",
      "    216122, 209309, 202496, 195683, 188871, 182058, 175245, 168432,\n",
      "    347578, 340766, 333953, 327140, 320327, 313514, 306701, 299889,\n",
      "    293076, 286263, 279450, 272637, 265824, 259011, 252199, 245386,\n",
      "    238573, 231760, 224947, 218134, 211321, 204509, 197696, 190883,\n",
      "    184070, 177257, 170444, 163631, 156819, 150006, 143193, 136380},\n",
      "   // y values\n",
      "   {695075, 727126, 759178, 791230, 823282, 855334, 887386, 919438,\n",
      "    951490, 983542, 1015594, 1047646, 1079698, 1111750, 1143802, 1175854,\n",
      "    1207906, 1239958, 1272009, 1304061, 1336113, 1368165, 1400217, 1432269,\n",
      "    1464321, 1496373, 1528425, 1560477, 1592529, 1624581, 1656633, 1688685,\n",
      "    688262, 720314, 752366, 784417, 816469, 848521, 880573, 912625,\n",
      "    944677, 976729, 1008781, 1040833, 1072885, 1104937, 1136989, 1169041,\n",
      "    1201093, 1233145, 1265197, 1297249, 1329300, 1361352, 1393404, 1425456,\n",
      "    1457508, 1489560, 1521612, 1553664, 1585716, 1617768, 1649820, 1681872,\n",
      "    681449, 713501, 745553, 777605, 809657, 841709, 873760, 905812,\n",
      "    937864, 969916, 1001968, 1034020, 1066072, 1098124, 1130176, 1162228,\n",
      "    1194280, 1226332, 1258384, 1290436, 1322488, 1354540, 1386592, 1418643,\n",
      "    1450695, 1482747, 1514799, 1546851, 1578903, 1610955, 1643007, 1675059,\n",
      "    674636, 706688, 738740, 770792, 802844, 834896, 866948, 899000,\n",
      "    931051, 963103, 995155, 1027207, 1059259, 1091311, 1123363, 1155415,\n",
      "    1187467, 1219519, 1251571, 1283623, 1315675, 1347727, 1379779, 1411831,\n",
      "    1443883, 1475934, 1507986, 1540038, 1572090, 1604142, 1636194, 1668246,\n",
      "    667823, 699875, 731927, 763979, 796031, 828083, 860135, 892187,\n",
      "    924239, 956291, 988343, 1020394, 1052446, 1084498, 1116550, 1148602,\n",
      "    1180654, 1212706, 1244758, 1276810, 1308862, 1340914, 1372966, 1405018,\n",
      "    1437070, 1469122, 1501174, 1533226, 1565277, 1597329, 1629381, 1661433,\n",
      "    661010, 693062, 725114, 757166, 789218, 821270, 853322, 885374,\n",
      "    917426, 949478, 981530, 1013582, 1045634, 1077686, 1109737, 1141789,\n",
      "    1173841, 1205893, 1237945, 1269997, 1302049, 1334101, 1366153, 1398205,\n",
      "    1430257, 1462309, 1494361, 1526413, 1558465, 1590517, 1622568, 1654620,\n",
      "    654197, 686249, 718301, 750353, 782405, 814457, 846509, 878561,\n",
      "    910613, 942665, 974717, 1006769, 1038821, 1070873, 1102925, 1134977,\n",
      "    1167028, 1199080, 1231132, 1263184, 1295236, 1327288, 1359340, 1391392,\n",
      "    1423444, 1455496, 1487548, 1519600, 1551652, 1583704, 1615756, 1647808,\n",
      "    647385, 679437, 711488, 743540, 775592, 807644, 839696, 871748,\n",
      "    903800, 935852, 967904, 999956, 1032008, 1064060, 1096112, 1128164,\n",
      "    1160216, 1192268, 1224320, 1256371, 1288423, 1320475, 1352527, 1384579,\n",
      "    1416631, 1448683, 1480735, 1512787, 1544839, 1576891, 1608943, 1640995,\n",
      "    640572, 672624, 704676, 736728, 768779, 800831, 832883, 864935,\n",
      "    896987, 929039, 961091, 993143, 1025195, 1057247, 1089299, 1121351,\n",
      "    1153403, 1185455, 1217507, 1249559, 1281611, 1313662, 1345714, 1377766,\n",
      "    1409818, 1441870, 1473922, 1505974, 1538026, 1570078, 1602130, 1634182,\n",
      "    633759, 665811, 697863, 729915, 761967, 794019, 826071, 858122,\n",
      "    890174, 922226, 954278, 986330, 1018382, 1050434, 1082486, 1114538,\n",
      "    1146590, 1178642, 1210694, 1242746, 1274798, 1306850, 1338902, 1370954,\n",
      "    1403005, 1435057, 1467109, 1499161, 1531213, 1563265, 1595317, 1627369,\n",
      "    626946, 658998, 691050, 723102, 755154, 787206, 819258, 851310,\n",
      "    883362, 915413, 947465, 979517, 1011569, 1043621, 1075673, 1107725,\n",
      "    1139777, 1171829, 1203881, 1235933, 1267985, 1300037, 1332089, 1364141,\n",
      "    1396193, 1428245, 1460296, 1492348, 1524400, 1556452, 1588504, 1620556,\n",
      "    620133, 652185, 684237, 716289, 748341, 780393, 812445, 844497,\n",
      "    876549, 908601, 940653, 972705, 1004756, 1036808, 1068860, 1100912,\n",
      "    1132964, 1165016, 1197068, 1229120, 1261172, 1293224, 1325276, 1357328,\n",
      "    1389380, 1421432, 1453484, 1485536, 1517588, 1549639, 1581691, 1613743,\n",
      "    613320, 645372, 677424, 709476, 741528, 773580, 805632, 837684,\n",
      "    869736, 901788, 933840, 965892, 997944, 1029996, 1062047, 1094099,\n",
      "    1126151, 1158203, 1190255, 1222307, 1254359, 1286411, 1318463, 1350515,\n",
      "    1382567, 1414619, 1446671, 1478723, 1510775, 1542827, 1574879, 1606930,\n",
      "    606507, 638559, 670611, 702663, 734715, 766767, 798819, 830871,\n",
      "    862923, 894975, 927027, 959079, 991131, 1023183, 1055235, 1087287,\n",
      "    1119339, 1151390, 1183442, 1215494, 1247546, 1279598, 1311650, 1343702,\n",
      "    1375754, 1407806, 1439858, 1471910, 1503962, 1536014, 1568066, 1600118,\n",
      "    599695, 631747, 663799, 695850, 727902, 759954, 792006, 824058,\n",
      "    856110, 888162, 920214, 952266, 984318, 1016370, 1048422, 1080474,\n",
      "    1112526, 1144578, 1176630, 1208681, 1240733, 1272785, 1304837, 1336889,\n",
      "    1368941, 1400993, 1433045, 1465097, 1497149, 1529201, 1561253, 1593305,\n",
      "    592882, 624934, 656986, 689038, 721090, 753141, 785193, 817245,\n",
      "    849297, 881349, 913401, 945453, 977505, 1009557, 1041609, 1073661,\n",
      "    1105713, 1137765, 1169817, 1201869, 1233921, 1265973, 1298024, 1330076,\n",
      "    1362128, 1394180, 1426232, 1458284, 1490336, 1522388, 1554440, 1586492}\n",
      "}; // panel1 end\n",
      "\n",
      "int32_t panel2[2][512] = { // panel2 begin\n",
      "   // x values\n",
      "   {187773, 161952, 136130, 110309, 84487, 58666, 32844, 7023,\n",
      "    -18799, -44620, -70442, -96263, -122085, -147907, -173728, -199550,\n",
      "    -225371, -251193, -277014, -302836, -328657, -354479, -380300, -406122,\n",
      "    -431943, -457765, -483587, -509408, -535230, -561051, -586873, -612694,\n",
      "    167599, 141778, 115956, 90135, 64313, 38492, 12670, -13151,\n",
      "    -38973, -64794, -90616, -116437, -142259, -168081, -193902, -219724,\n",
      "    -245545, -271367, -297188, -323010, -348831, -374653, -400474, -426296,\n",
      "    -452117, -477939, -503761, -529582, -555404, -581225, -607047, -632868,\n",
      "    147425, 121604, 95782, 69961, 44139, 18318, -7504, -33325,\n",
      "    -59147, -84968, -110790, -136611, -162433, -188255, -214076, -239898,\n",
      "    -265719, -291541, -317362, -343184, -369005, -394827, -420648, -446470,\n",
      "    -472291, -498113, -523935, -549756, -575578, -601399, -627221, -653042,\n",
      "    127251, 101430, 75608, 49787, 23965, -1856, -27678, -53499,\n",
      "    -79321, -105142, -130964, -156785, -182607, -208429, -234250, -260072,\n",
      "    -285893, -311715, -337536, -363358, -389179, -415001, -440822, -466644,\n",
      "    -492465, -518287, -544109, -569930, -595752, -621573, -647395, -673216,\n",
      "    107077, 81256, 55434, 29613, 3791, -22030, -47852, -73673,\n",
      "    -99495, -125316, -151138, -176959, -202781, -228603, -254424, -280246,\n",
      "    -306067, -331889, -357710, -383532, -409353, -435175, -460996, -486818,\n",
      "    -512639, -538461, -564283, -590104, -615926, -641747, -667569, -693390,\n",
      "    86903, 61082, 35260, 9439, -16383, -42204, -68026, -93847,\n",
      "    -119669, -145490, -171312, -197133, -222955, -248777, -274598, -300420,\n",
      "    -326241, -352063, -377884, -403706, -429527, -455349, -481170, -506992,\n",
      "    -532813, -558635, -584457, -610278, -636100, -661921, -687743, -713564,\n",
      "    66729, 40908, 15086, -10735, -36557, -62378, -88200, -114021,\n",
      "    -139843, -165664, -191486, -217307, -243129, -268951, -294772, -320594,\n",
      "    -346415, -372237, -398058, -423880, -449701, -475523, -501344, -527166,\n",
      "    -552987, -578809, -604631, -630452, -656274, -682095, -707917, -733738,\n",
      "    46555, 20734, -5088, -30909, -56731, -82552, -108374, -134195,\n",
      "    -160017, -185838, -211660, -237481, -263303, -289125, -314946, -340768,\n",
      "    -366589, -392411, -418232, -444054, -469875, -495697, -521518, -547340,\n",
      "    -573161, -598983, -624804, -650626, -676448, -702269, -728091, -753912,\n",
      "    26381, 560, -25262, -51083, -76905, -102726, -128548, -154369,\n",
      "    -180191, -206012, -231834, -257655, -283477, -309299, -335120, -360942,\n",
      "    -386763, -412585, -438406, -464228, -490049, -515871, -541692, -567514,\n",
      "    -593335, -619157, -644978, -670800, -696622, -722443, -748265, -774086,\n",
      "    6207, -19614, -45436, -71257, -97079, -122900, -148722, -174543,\n",
      "    -200365, -226186, -252008, -277829, -303651, -329473, -355294, -381116,\n",
      "    -406937, -432759, -458580, -484402, -510223, -536045, -561866, -587688,\n",
      "    -613509, -639331, -665152, -690974, -716796, -742617, -768439, -794260,\n",
      "    -13967, -39788, -65610, -91431, -117253, -143074, -168896, -194717,\n",
      "    -220539, -246360, -272182, -298003, -323825, -349647, -375468, -401290,\n",
      "    -427111, -452933, -478754, -504576, -530397, -556219, -582040, -607862,\n",
      "    -633683, -659505, -685326, -711148, -736970, -762791, -788613, -814434,\n",
      "    -34141, -59962, -85784, -111605, -137427, -163248, -189070, -214891,\n",
      "    -240713, -266534, -292356, -318177, -343999, -369821, -395642, -421464,\n",
      "    -447285, -473107, -498928, -524750, -550571, -576393, -602214, -628036,\n",
      "    -653857, -679679, -705500, -731322, -757144, -782965, -808787, -834608,\n",
      "    -54315, -80136, -105958, -131779, -157601, -183422, -209244, -235065,\n",
      "    -260887, -286708, -312530, -338351, -364173, -389995, -415816, -441638,\n",
      "    -467459, -493281, -519102, -544924, -570745, -596567, -622388, -648210,\n",
      "    -674031, -699853, -725674, -751496, -777318, -803139, -828961, -854782,\n",
      "    -74489, -100310, -126132, -151953, -177775, -203596, -229418, -255239,\n",
      "    -281061, -306882, -332704, -358525, -384347, -410168, -435990, -461812,\n",
      "    -487633, -513455, -539276, -565098, -590919, -616741, -642562, -668384,\n",
      "    -694205, -720027, -745848, -771670, -797492, -823313, -849135, -874956,\n",
      "    -94663, -120484, -146306, -172127, -197949, -223770, -249592, -275413,\n",
      "    -301235, -327056, -352878, -378699, -404521, -430342, -456164, -481986,\n",
      "    -507807, -533629, -559450, -585272, -611093, -636915, -662736, -688558,\n",
      "    -714379, -740201, -766022, -791844, -817666, -843487, -869309, -895130,\n",
      "    -114837, -140658, -166480, -192301, -218123, -243944, -269766, -295587,\n",
      "    -321409, -347230, -373052, -398873, -424695, -450516, -476338, -502160,\n",
      "    -527981, -553803, -579624, -605446, -631267, -657089, -682910, -708732,\n",
      "    -734553, -760375, -786196, -812018, -837840, -863661, -889483, -915304},\n",
      "   // y values\n",
      "   {1064916, 1085090, 1105264, 1125438, 1145612, 1165786, 1185960, 1206134,\n",
      "    1226308, 1246482, 1266656, 1286830, 1307004, 1327178, 1347352, 1367526,\n",
      "    1387700, 1407874, 1428048, 1448222, 1468396, 1488570, 1508744, 1528918,\n",
      "    1549092, 1569266, 1589440, 1609614, 1629788, 1649962, 1670136, 1690310,\n",
      "    1039094, 1059268, 1079442, 1099616, 1119790, 1139964, 1160138, 1180312,\n",
      "    1200486, 1220660, 1240834, 1261008, 1281182, 1301356, 1321530, 1341704,\n",
      "    1361878, 1382052, 1402226, 1422400, 1442574, 1462748, 1482922, 1503096,\n",
      "    1523270, 1543444, 1563618, 1583792, 1603966, 1624140, 1644314, 1664488,\n",
      "    1013273, 1033447, 1053621, 1073795, 1093969, 1114143, 1134317, 1154491,\n",
      "    1174665, 1194839, 1215013, 1235187, 1255361, 1275535, 1295709, 1315883,\n",
      "    1336057, 1356231, 1376405, 1396579, 1416753, 1436927, 1457101, 1477275,\n",
      "    1497449, 1517623, 1537797, 1557971, 1578145, 1598319, 1618493, 1638667,\n",
      "    987451, 1007625, 1027799, 1047973, 1068147, 1088321, 1108495, 1128669,\n",
      "    1148843, 1169017, 1189191, 1209365, 1229539, 1249713, 1269887, 1290061,\n",
      "    1310235, 1330409, 1350583, 1370757, 1390931, 1411105, 1431279, 1451453,\n",
      "    1471627, 1491801, 1511975, 1532149, 1552323, 1572497, 1592671, 1612845,\n",
      "    961630, 981804, 1001978, 1022152, 1042326, 1062500, 1082674, 1102848,\n",
      "    1123022, 1143196, 1163370, 1183544, 1203718, 1223892, 1244066, 1264240,\n",
      "    1284414, 1304588, 1324762, 1344936, 1365110, 1385284, 1405458, 1425632,\n",
      "    1445806, 1465980, 1486154, 1506328, 1526502, 1546676, 1566850, 1587024,\n",
      "    935808, 955982, 976156, 996330, 1016504, 1036678, 1056852, 1077026,\n",
      "    1097200, 1117374, 1137548, 1157722, 1177896, 1198070, 1218244, 1238418,\n",
      "    1258592, 1278766, 1298940, 1319114, 1339288, 1359462, 1379636, 1399810,\n",
      "    1419984, 1440158, 1460332, 1480506, 1500680, 1520854, 1541028, 1561202,\n",
      "    909987, 930161, 950335, 970509, 990683, 1010857, 1031031, 1051205,\n",
      "    1071379, 1091553, 1111727, 1131901, 1152075, 1172249, 1192423, 1212597,\n",
      "    1232771, 1252945, 1273119, 1293293, 1313467, 1333641, 1353815, 1373989,\n",
      "    1394163, 1414337, 1434511, 1454685, 1474859, 1495033, 1515207, 1535381,\n",
      "    884165, 904339, 924513, 944687, 964861, 985035, 1005209, 1025383,\n",
      "    1045557, 1065731, 1085905, 1106079, 1126253, 1146427, 1166601, 1186775,\n",
      "    1206949, 1227123, 1247297, 1267471, 1287645, 1307819, 1327993, 1348167,\n",
      "    1368341, 1388515, 1408689, 1428863, 1449037, 1469211, 1489385, 1509559,\n",
      "    858344, 878518, 898692, 918866, 939040, 959214, 979388, 999562,\n",
      "    1019736, 1039910, 1060084, 1080258, 1100432, 1120606, 1140780, 1160954,\n",
      "    1181128, 1201302, 1221476, 1241650, 1261824, 1281998, 1302172, 1322346,\n",
      "    1342520, 1362694, 1382868, 1403042, 1423216, 1443390, 1463564, 1483738,\n",
      "    832522, 852696, 872870, 893044, 913218, 933392, 953566, 973740,\n",
      "    993914, 1014088, 1034262, 1054436, 1074610, 1094784, 1114958, 1135132,\n",
      "    1155306, 1175480, 1195654, 1215828, 1236002, 1256176, 1276350, 1296524,\n",
      "    1316698, 1336872, 1357046, 1377220, 1397394, 1417568, 1437742, 1457916,\n",
      "    806701, 826875, 847049, 867223, 887397, 907571, 927745, 947919,\n",
      "    968093, 988267, 1008441, 1028615, 1048789, 1068963, 1089137, 1109311,\n",
      "    1129485, 1149659, 1169833, 1190007, 1210180, 1230354, 1250528, 1270702,\n",
      "    1290876, 1311050, 1331224, 1351398, 1371572, 1391746, 1411920, 1432094,\n",
      "    780879, 801053, 821227, 841401, 861575, 881749, 901923, 922097,\n",
      "    942271, 962445, 982619, 1002793, 1022967, 1043141, 1063315, 1083489,\n",
      "    1103663, 1123837, 1144011, 1164185, 1184359, 1204533, 1224707, 1244881,\n",
      "    1265055, 1285229, 1305403, 1325577, 1345751, 1365925, 1386099, 1406273,\n",
      "    755058, 775232, 795406, 815580, 835753, 855927, 876101, 896275,\n",
      "    916449, 936623, 956797, 976971, 997145, 1017319, 1037493, 1057667,\n",
      "    1077841, 1098015, 1118189, 1138363, 1158537, 1178711, 1198885, 1219059,\n",
      "    1239233, 1259407, 1279581, 1299755, 1319929, 1340103, 1360277, 1380451,\n",
      "    729236, 749410, 769584, 789758, 809932, 830106, 850280, 870454,\n",
      "    890628, 910802, 930976, 951150, 971324, 991498, 1011672, 1031846,\n",
      "    1052020, 1072194, 1092368, 1112542, 1132716, 1152890, 1173064, 1193238,\n",
      "    1213412, 1233586, 1253760, 1273934, 1294108, 1314282, 1334456, 1354630,\n",
      "    703414, 723588, 743762, 763936, 784110, 804284, 824458, 844632,\n",
      "    864806, 884980, 905154, 925328, 945502, 965676, 985850, 1006024,\n",
      "    1026198, 1046372, 1066546, 1086720, 1106894, 1127068, 1147242, 1167416,\n",
      "    1187590, 1207764, 1227938, 1248112, 1268286, 1288460, 1308634, 1328808,\n",
      "    677593, 697767, 717941, 738115, 758289, 778463, 798637, 818811,\n",
      "    838985, 859159, 879333, 899507, 919681, 939855, 960029, 980203,\n",
      "    1000377, 1020551, 1040725, 1060899, 1081073, 1101247, 1121421, 1141595,\n",
      "    1161769, 1181943, 1202117, 1222291, 1242465, 1262639, 1282813, 1302987}\n",
      "}; // panel2 end\n",
      "\n",
      "int32_t panel3[2][512] = { // panel3 begin\n",
      "   // x values\n",
      "   {-540672, -573420, -606168, -638916, -671664, -704412, -737160, -769908,\n",
      "    -802656, -835404, -868152, -900900, -933648, -966397, -999145, -1031893,\n",
      "    -1064641, -1097389, -1130137, -1162885, -1195633, -1228381, -1261129, -1293877,\n",
      "    -1326625, -1359373, -1392121, -1424869, -1457617, -1490365, -1523113, -1555861,\n",
      "    -539528, -572276, -605024, -637773, -670521, -703269, -736017, -768765,\n",
      "    -801513, -834261, -867009, -899757, -932505, -965253, -998001, -1030749,\n",
      "    -1063497, -1096245, -1128993, -1161741, -1194489, -1227237, -1259985, -1292733,\n",
      "    -1325481, -1358229, -1390977, -1423725, -1456473, -1489222, -1521970, -1554718,\n",
      "    -538385, -571133, -603881, -636629, -669377, -702125, -734873, -767621,\n",
      "    -800369, -833117, -865865, -898613, -931361, -964109, -996857, -1029605,\n",
      "    -1062353, -1095101, -1127850, -1160598, -1193346, -1226094, -1258842, -1291590,\n",
      "    -1324338, -1357086, -1389834, -1422582, -1455330, -1488078, -1520826, -1553574,\n",
      "    -537241, -569989, -602737, -635485, -668233, -700981, -733729, -766478,\n",
      "    -799226, -831974, -864722, -897470, -930218, -962966, -995714, -1028462,\n",
      "    -1061210, -1093958, -1126706, -1159454, -1192202, -1224950, -1257698, -1290446,\n",
      "    -1323194, -1355942, -1388690, -1421438, -1454186, -1486934, -1519682, -1552430,\n",
      "    -536098, -568846, -601594, -634342, -667090, -699838, -732586, -765334,\n",
      "    -798082, -830830, -863578, -896326, -929074, -961822, -994570, -1027318,\n",
      "    -1060066, -1092814, -1125562, -1158310, -1191058, -1223806, -1256555, -1289303,\n",
      "    -1322051, -1354799, -1387547, -1420295, -1453043, -1485791, -1518539, -1551287,\n",
      "    -534954, -567702, -600450, -633198, -665946, -698694, -731442, -764190,\n",
      "    -796938, -829686, -862434, -895182, -927931, -960679, -993427, -1026175,\n",
      "    -1058923, -1091671, -1124419, -1157167, -1189915, -1222663, -1255411, -1288159,\n",
      "    -1320907, -1353655, -1386403, -1419151, -1451899, -1484647, -1517395, -1550143,\n",
      "    -533810, -566559, -599307, -632055, -664803, -697551, -730299, -763047,\n",
      "    -795795, -828543, -861291, -894039, -926787, -959535, -992283, -1025031,\n",
      "    -1057779, -1090527, -1123275, -1156023, -1188771, -1221519, -1254267, -1287015,\n",
      "    -1319763, -1352511, -1385259, -1418008, -1450756, -1483504, -1516252, -1549000,\n",
      "    -532667, -565415, -598163, -630911, -663659, -696407, -729155, -761903,\n",
      "    -794651, -827399, -860147, -892895, -925643, -958391, -991139, -1023887,\n",
      "    -1056636, -1089384, -1122132, -1154880, -1187628, -1220376, -1253124, -1285872,\n",
      "    -1318620, -1351368, -1384116, -1416864, -1449612, -1482360, -1515108, -1547856,\n",
      "    -531523, -564271, -597019, -629767, -662515, -695263, -728012, -760760,\n",
      "    -793508, -826256, -859004, -891752, -924500, -957248, -989996, -1022744,\n",
      "    -1055492, -1088240, -1120988, -1153736, -1186484, -1219232, -1251980, -1284728,\n",
      "    -1317476, -1350224, -1382972, -1415720, -1448468, -1481216, -1513964, -1546713,\n",
      "    -530380, -563128, -595876, -628624, -661372, -694120, -726868, -759616,\n",
      "    -792364, -825112, -857860, -890608, -923356, -956104, -988852, -1021600,\n",
      "    -1054348, -1087096, -1119844, -1152592, -1185340, -1218089, -1250837, -1283585,\n",
      "    -1316333, -1349081, -1381829, -1414577, -1447325, -1480073, -1512821, -1545569,\n",
      "    -529236, -561984, -594732, -627480, -660228, -692976, -725724, -758472,\n",
      "    -791220, -823968, -856717, -889465, -922213, -954961, -987709, -1020457,\n",
      "    -1053205, -1085953, -1118701, -1151449, -1184197, -1216945, -1249693, -1282441,\n",
      "    -1315189, -1347937, -1380685, -1413433, -1446181, -1478929, -1511677, -1544425,\n",
      "    -528093, -560841, -593589, -626337, -659085, -691833, -724581, -757329,\n",
      "    -790077, -822825, -855573, -888321, -921069, -953817, -986565, -1019313,\n",
      "    -1052061, -1084809, -1117557, -1150305, -1183053, -1215801, -1248549, -1281297,\n",
      "    -1314045, -1346794, -1379542, -1412290, -1445038, -1477786, -1510534, -1543282,\n",
      "    -526949, -559697, -592445, -625193, -657941, -690689, -723437, -756185,\n",
      "    -788933, -821681, -854429, -887177, -919925, -952673, -985422, -1018170,\n",
      "    -1050918, -1083666, -1116414, -1149162, -1181910, -1214658, -1247406, -1280154,\n",
      "    -1312902, -1345650, -1378398, -1411146, -1443894, -1476642, -1509390, -1542138,\n",
      "    -525805, -558553, -591301, -624049, -656798, -689546, -722294, -755042,\n",
      "    -787790, -820538, -853286, -886034, -918782, -951530, -984278, -1017026,\n",
      "    -1049774, -1082522, -1115270, -1148018, -1180766, -1213514, -1246262, -1279010,\n",
      "    -1311758, -1344506, -1377254, -1410002, -1442750, -1475498, -1508247, -1540995,\n",
      "    -524662, -557410, -590158, -622906, -655654, -688402, -721150, -753898,\n",
      "    -786646, -819394, -852142, -884890, -917638, -950386, -983134, -1015882,\n",
      "    -1048630, -1081378, -1114126, -1146875, -1179623, -1212371, -1245119, -1277867,\n",
      "    -1310615, -1343363, -1376111, -1408859, -1441607, -1474355, -1507103, -1539851,\n",
      "    -523518, -556266, -589014, -621762, -654510, -687258, -720006, -752754,\n",
      "    -785503, -818251, -850999, -883747, -916495, -949243, -981991, -1014739,\n",
      "    -1047487, -1080235, -1112983, -1145731, -1178479, -1211227, -1243975, -1276723,\n",
      "    -1309471, -1342219, -1374967, -1407715, -1440463, -1473211, -1505959, -1538707},\n",
      "   // y values\n",
      "   {936471, 935328, 934184, 933041, 931897, 930753, 929610, 928466,\n",
      "    927323, 926179, 925036, 923892, 922748, 921605, 920461, 919318,\n",
      "    918174, 917030, 915887, 914743, 913600, 912456, 911312, 910169,\n",
      "    909025, 907882, 906738, 905595, 904451, 903307, 902164, 901020,\n",
      "    903723, 902580, 901436, 900293, 899149, 898005, 896862, 895718,\n",
      "    894575, 893431, 892287, 891144, 890000, 888857, 887713, 886570,\n",
      "    885426, 884282, 883139, 881995, 880852, 879708, 878564, 877421,\n",
      "    876277, 875134, 873990, 872846, 871703, 870559, 869416, 868272,\n",
      "    870975, 869832, 868688, 867545, 866401, 865257, 864114, 862970,\n",
      "    861827, 860683, 859539, 858396, 857252, 856109, 854965, 853821,\n",
      "    852678, 851534, 850391, 849247, 848104, 846960, 845816, 844673,\n",
      "    843529, 842386, 841242, 840098, 838955, 837811, 836668, 835524,\n",
      "    838227, 837084, 835940, 834796, 833653, 832509, 831366, 830222,\n",
      "    829079, 827935, 826791, 825648, 824504, 823361, 822217, 821073,\n",
      "    819930, 818786, 817643, 816499, 815356, 814212, 813068, 811925,\n",
      "    810781, 809638, 808494, 807350, 806207, 805063, 803920, 802776,\n",
      "    805479, 804336, 803192, 802048, 800905, 799761, 798618, 797474,\n",
      "    796331, 795187, 794043, 792900, 791756, 790613, 789469, 788325,\n",
      "    787182, 786038, 784895, 783751, 782607, 781464, 780320, 779177,\n",
      "    778033, 776890, 775746, 774602, 773459, 772315, 771172, 770028,\n",
      "    772731, 771588, 770444, 769300, 768157, 767013, 765870, 764726,\n",
      "    763582, 762439, 761295, 760152, 759008, 757865, 756721, 755577,\n",
      "    754434, 753290, 752147, 751003, 749859, 748716, 747572, 746429,\n",
      "    745285, 744142, 742998, 741854, 740711, 739567, 738424, 737280,\n",
      "    739983, 738840, 737696, 736552, 735409, 734265, 733122, 731978,\n",
      "    730834, 729691, 728547, 727404, 726260, 725117, 723973, 722829,\n",
      "    721686, 720542, 719399, 718255, 717111, 715968, 714824, 713681,\n",
      "    712537, 711393, 710250, 709106, 707963, 706819, 705676, 704532,\n",
      "    707235, 706092, 704948, 703804, 702661, 701517, 700374, 699230,\n",
      "    698086, 696943, 695799, 694656, 693512, 692368, 691225, 690081,\n",
      "    688938, 687794, 686651, 685507, 684363, 683220, 682076, 680933,\n",
      "    679789, 678645, 677502, 676358, 675215, 674071, 672928, 671784,\n",
      "    674487, 673343, 672200, 671056, 669913, 668769, 667626, 666482,\n",
      "    665338, 664195, 663051, 661908, 660764, 659620, 658477, 657333,\n",
      "    656190, 655046, 653903, 652759, 651615, 650472, 649328, 648185,\n",
      "    647041, 645897, 644754, 643610, 642467, 641323, 640179, 639036,\n",
      "    641739, 640595, 639452, 638308, 637165, 636021, 634878, 633734,\n",
      "    632590, 631447, 630303, 629160, 628016, 626872, 625729, 624585,\n",
      "    623442, 622298, 621154, 620011, 618867, 617724, 616580, 615437,\n",
      "    614293, 613149, 612006, 610862, 609719, 608575, 607431, 606288,\n",
      "    608991, 607847, 606704, 605560, 604417, 603273, 602129, 600986,\n",
      "    599842, 598699, 597555, 596412, 595268, 594124, 592981, 591837,\n",
      "    590694, 589550, 588406, 587263, 586119, 584976, 583832, 582688,\n",
      "    581545, 580401, 579258, 578114, 576971, 575827, 574683, 573540,\n",
      "    576243, 575099, 573956, 572812, 571669, 570525, 569381, 568238,\n",
      "    567094, 565951, 564807, 563663, 562520, 561376, 560233, 559089,\n",
      "    557946, 556802, 555658, 554515, 553371, 552228, 551084, 549940,\n",
      "    548797, 547653, 546510, 545366, 544223, 543079, 541935, 540792,\n",
      "    543495, 542351, 541208, 540064, 538921, 537777, 536633, 535490,\n",
      "    534346, 533203, 532059, 530915, 529772, 528628, 527485, 526341,\n",
      "    525198, 524054, 522910, 521767, 520623, 519480, 518336, 517192,\n",
      "    516049, 514905, 513762, 512618, 511474, 510331, 509187, 508044,\n",
      "    510747, 509603, 508460, 507316, 506173, 505029, 503885, 502742,\n",
      "    501598, 500455, 499311, 498167, 497024, 495880, 494737, 493593,\n",
      "    492449, 491306, 490162, 489019, 487875, 486732, 485588, 484444,\n",
      "    483301, 482157, 481014, 479870, 478726, 477583, 476439, 475296,\n",
      "    477999, 476855, 475712, 474568, 473424, 472281, 471137, 469994,\n",
      "    468850, 467707, 466563, 465419, 464276, 463132, 461989, 460845,\n",
      "    459701, 458558, 457414, 456271, 455127, 453984, 452840, 451696,\n",
      "    450553, 449409, 448266, 447122, 445978, 444835, 443691, 442548,\n",
      "    445251, 444107, 442964, 441820, 440676, 439533, 438389, 437246,\n",
      "    436102, 434959, 433815, 432671, 431528, 430384, 429241, 428097,\n",
      "    426953, 425810, 424666, 423523, 422379, 421235, 420092, 418948,\n",
      "    417805, 416661, 415518, 414374, 413230, 412087, 410943, 409800}\n",
      "}; // panel3 end\n",
      "\n",
      "int32_t panel4[2][512] = { // panel4 begin\n",
      "   // x values\n",
      "   {-1016131, -1040482, -1064834, -1089185, -1113536, -1137888, -1162239, -1186591,\n",
      "    -1210942, -1235293, -1259645, -1283996, -1308347, -1332699, -1357050, -1381402,\n",
      "    -1405753, -1430104, -1454456, -1478807, -1503158, -1527510, -1551861, -1576212,\n",
      "    -1600564, -1624915, -1649267, -1673618, -1697969, -1722321, -1746672, -1771023,\n",
      "    -994205, -1018556, -1042908, -1067259, -1091610, -1115962, -1140313, -1164664,\n",
      "    -1189016, -1213367, -1237719, -1262070, -1286421, -1310773, -1335124, -1359475,\n",
      "    -1383827, -1408178, -1432530, -1456881, -1481232, -1505584, -1529935, -1554286,\n",
      "    -1578638, -1602989, -1627341, -1651692, -1676043, -1700395, -1724746, -1749097,\n",
      "    -972279, -996630, -1020982, -1045333, -1069684, -1094036, -1118387, -1142738,\n",
      "    -1167090, -1191441, -1215793, -1240144, -1264495, -1288847, -1313198, -1337549,\n",
      "    -1361901, -1386252, -1410603, -1434955, -1459306, -1483658, -1508009, -1532360,\n",
      "    -1556712, -1581063, -1605414, -1629766, -1654117, -1678469, -1702820, -1727171,\n",
      "    -950353, -974704, -999056, -1023407, -1047758, -1072110, -1096461, -1120812,\n",
      "    -1145164, -1169515, -1193866, -1218218, -1242569, -1266921, -1291272, -1315623,\n",
      "    -1339975, -1364326, -1388677, -1413029, -1437380, -1461732, -1486083, -1510434,\n",
      "    -1534786, -1559137, -1583488, -1607840, -1632191, -1656542, -1680894, -1705245,\n",
      "    -928427, -952778, -977129, -1001481, -1025832, -1050184, -1074535, -1098886,\n",
      "    -1123238, -1147589, -1171940, -1196292, -1220643, -1244994, -1269346, -1293697,\n",
      "    -1318049, -1342400, -1366751, -1391103, -1415454, -1439805, -1464157, -1488508,\n",
      "    -1512860, -1537211, -1561562, -1585914, -1610265, -1634616, -1658968, -1683319,\n",
      "    -906501, -930852, -955203, -979555, -1003906, -1028257, -1052609, -1076960,\n",
      "    -1101312, -1125663, -1150014, -1174366, -1198717, -1223068, -1247420, -1271771,\n",
      "    -1296123, -1320474, -1344825, -1369177, -1393528, -1417879, -1442231, -1466582,\n",
      "    -1490933, -1515285, -1539636, -1563988, -1588339, -1612690, -1637042, -1661393,\n",
      "    -884575, -908926, -933277, -957629, -981980, -1006331, -1030683, -1055034,\n",
      "    -1079386, -1103737, -1128088, -1152440, -1176791, -1201142, -1225494, -1249845,\n",
      "    -1274196, -1298548, -1322899, -1347251, -1371602, -1395953, -1420305, -1444656,\n",
      "    -1469007, -1493359, -1517710, -1542062, -1566413, -1590764, -1615116, -1639467,\n",
      "    -862648, -887000, -911351, -935703, -960054, -984405, -1008757, -1033108,\n",
      "    -1057459, -1081811, -1106162, -1130514, -1154865, -1179216, -1203568, -1227919,\n",
      "    -1252270, -1276622, -1300973, -1325324, -1349676, -1374027, -1398379, -1422730,\n",
      "    -1447081, -1471433, -1495784, -1520135, -1544487, -1568838, -1593190, -1617541,\n",
      "    -840722, -865074, -889425, -913777, -938128, -962479, -986831, -1011182,\n",
      "    -1035533, -1059885, -1084236, -1108587, -1132939, -1157290, -1181642, -1205993,\n",
      "    -1230344, -1254696, -1279047, -1303398, -1327750, -1352101, -1376453, -1400804,\n",
      "    -1425155, -1449507, -1473858, -1498209, -1522561, -1546912, -1571263, -1595615,\n",
      "    -818796, -843148, -867499, -891850, -916202, -940553, -964905, -989256,\n",
      "    -1013607, -1037959, -1062310, -1086661, -1111013, -1135364, -1159716, -1184067,\n",
      "    -1208418, -1232770, -1257121, -1281472, -1305824, -1330175, -1354526, -1378878,\n",
      "    -1403229, -1427581, -1451932, -1476283, -1500635, -1524986, -1549337, -1573689,\n",
      "    -796870, -821222, -845573, -869924, -894276, -918627, -942978, -967330,\n",
      "    -991681, -1016033, -1040384, -1064735, -1089087, -1113438, -1137789, -1162141,\n",
      "    -1186492, -1210844, -1235195, -1259546, -1283898, -1308249, -1332600, -1356952,\n",
      "    -1381303, -1405655, -1430006, -1454357, -1478709, -1503060, -1527411, -1551763,\n",
      "    -774944, -799296, -823647, -847998, -872350, -896701, -921052, -945404,\n",
      "    -969755, -994107, -1018458, -1042809, -1067161, -1091512, -1115863, -1140215,\n",
      "    -1164566, -1188917, -1213269, -1237620, -1261972, -1286323, -1310674, -1335026,\n",
      "    -1359377, -1383728, -1408080, -1432431, -1456783, -1481134, -1505485, -1529837,\n",
      "    -753018, -777369, -801721, -826072, -850424, -874775, -899126, -923478,\n",
      "    -947829, -972180, -996532, -1020883, -1045235, -1069586, -1093937, -1118289,\n",
      "    -1142640, -1166991, -1191343, -1215694, -1240046, -1264397, -1288748, -1313100,\n",
      "    -1337451, -1361802, -1386154, -1410505, -1434856, -1459208, -1483559, -1507911,\n",
      "    -731092, -755443, -779795, -804146, -828498, -852849, -877200, -901552,\n",
      "    -925903, -950254, -974606, -998957, -1023308, -1047660, -1072011, -1096363,\n",
      "    -1120714, -1145065, -1169417, -1193768, -1218119, -1242471, -1266822, -1291174,\n",
      "    -1315525, -1339876, -1364228, -1388579, -1412930, -1437282, -1461633, -1485985,\n",
      "    -709166, -733517, -757869, -782220, -806571, -830923, -855274, -879626,\n",
      "    -903977, -928328, -952680, -977031, -1001382, -1025734, -1050085, -1074437,\n",
      "    -1098788, -1123139, -1147491, -1171842, -1196193, -1220545, -1244896, -1269247,\n",
      "    -1293599, -1317950, -1342302, -1366653, -1391004, -1415356, -1439707, -1464058,\n",
      "    -687240, -711591, -735943, -760294, -784645, -808997, -833348, -857699,\n",
      "    -882051, -906402, -930754, -955105, -979456, -1003808, -1028159, -1052510,\n",
      "    -1076862, -1101213, -1125565, -1149916, -1174267, -1198619, -1222970, -1247321,\n",
      "    -1271673, -1296024, -1320376, -1344727, -1369078, -1393430, -1417781, -1442132},\n",
      "   // y values\n",
      "   {369841, 347915, 325989, 304063, 282137, 260211, 238285, 216359,\n",
      "    194433, 172507, 150581, 128655, 106729, 84802, 62876, 40950,\n",
      "    19024, -2902, -24828, -46754, -68680, -90606, -112532, -134458,\n",
      "    -156384, -178310, -200236, -222163, -244089, -266015, -287941, -309867,\n",
      "    345490, 323564, 301638, 279712, 257786, 235860, 213934, 192008,\n",
      "    170081, 148155, 126229, 104303, 82377, 60451, 38525, 16599,\n",
      "    -5327, -27253, -49179, -71105, -93031, -114957, -136884, -158810,\n",
      "    -180736, -202662, -224588, -246514, -268440, -290366, -312292, -334218,\n",
      "    321139, 299213, 277287, 255360, 233434, 211508, 189582, 167656,\n",
      "    145730, 123804, 101878, 79952, 58026, 36100, 14174, -7752,\n",
      "    -29678, -51605, -73531, -95457, -117383, -139309, -161235, -183161,\n",
      "    -205087, -227013, -248939, -270865, -292791, -314717, -336643, -358570,\n",
      "    296787, 274861, 252935, 231009, 209083, 187157, 165231, 143305,\n",
      "    121379, 99453, 77527, 55601, 33674, 11748, -10178, -32104,\n",
      "    -54030, -75956, -97882, -119808, -141734, -163660, -185586, -207512,\n",
      "    -229438, -251364, -273291, -295217, -317143, -339069, -360995, -382921,\n",
      "    272436, 250510, 228584, 206658, 184732, 162806, 140880, 118953,\n",
      "    97027, 75101, 53175, 31249, 9323, -12603, -34529, -56455,\n",
      "    -78381, -100307, -122233, -144159, -166085, -188012, -209938, -231864,\n",
      "    -253790, -275716, -297642, -319568, -341494, -363420, -385346, -407272,\n",
      "    248085, 226159, 204232, 182306, 160380, 138454, 116528, 94602,\n",
      "    72676, 50750, 28824, 6898, -15028, -36954, -58880, -80806,\n",
      "    -102733, -124659, -146585, -168511, -190437, -212363, -234289, -256215,\n",
      "    -278141, -300067, -321993, -343919, -365845, -387771, -409698, -431624,\n",
      "    223733, 201807, 179881, 157955, 136029, 114103, 92177, 70251,\n",
      "    48325, 26399, 4472, -17454, -39380, -61306, -83232, -105158,\n",
      "    -127084, -149010, -170936, -192862, -214788, -236714, -258640, -280566,\n",
      "    -302493, -324419, -346345, -368271, -390197, -412123, -434049, -455975,\n",
      "    199382, 177456, 155530, 133604, 111678, 89751, 67825, 45899,\n",
      "    23973, 2047, -19879, -41805, -63731, -85657, -107583, -129509,\n",
      "    -151435, -173361, -195287, -217214, -239140, -261066, -282992, -304918,\n",
      "    -326844, -348770, -370696, -392622, -414548, -436474, -458400, -480326,\n",
      "    175030, 153104, 131178, 109252, 87326, 65400, 43474, 21548,\n",
      "    -378, -22304, -44230, -66156, -88082, -110008, -131935, -153861,\n",
      "    -175787, -197713, -219639, -241565, -263491, -285417, -307343, -329269,\n",
      "    -351195, -373121, -395047, -416973, -438900, -460826, -482752, -504678,\n",
      "    150679, 128753, 106827, 84901, 62975, 41049, 19123, -2803,\n",
      "    -24729, -46656, -68582, -90508, -112434, -134360, -156286, -178212,\n",
      "    -200138, -222064, -243990, -265916, -287842, -309768, -331694, -353621,\n",
      "    -375547, -397473, -419399, -441325, -463251, -485177, -507103, -529029,\n",
      "    126328, 104402, 82476, 60550, 38623, 16697, -5229, -27155,\n",
      "    -49081, -71007, -92933, -114859, -136785, -158711, -180637, -202563,\n",
      "    -224489, -246415, -268342, -290268, -312194, -334120, -356046, -377972,\n",
      "    -399898, -421824, -443750, -465676, -487602, -509528, -531454, -553380,\n",
      "    101976, 80050, 58124, 36198, 14272, -7654, -29580, -51506,\n",
      "    -73432, -95358, -117284, -139210, -161136, -183063, -204989, -226915,\n",
      "    -248841, -270767, -292693, -314619, -336545, -358471, -380397, -402323,\n",
      "    -424249, -446175, -468102, -490028, -511954, -533880, -555806, -577732,\n",
      "    77625, 55699, 33773, 11847, -10079, -32005, -53931, -75858,\n",
      "    -97784, -119710, -141636, -163562, -185488, -207414, -229340, -251266,\n",
      "    -273192, -295118, -317044, -338970, -360896, -382823, -404749, -426675,\n",
      "    -448601, -470527, -492453, -514379, -536305, -558231, -580157, -602083,\n",
      "    53274, 31348, 9421, -12505, -34431, -56357, -78283, -100209,\n",
      "    -122135, -144061, -165987, -187913, -209839, -231765, -253691, -275617,\n",
      "    -297544, -319470, -341396, -363322, -385248, -407174, -429100, -451026,\n",
      "    -472952, -494878, -516804, -538730, -560656, -582582, -604509, -626435,\n",
      "    28922, 6996, -14930, -36856, -58782, -80708, -102634, -124560,\n",
      "    -146486, -168412, -190338, -212265, -234191, -256117, -278043, -299969,\n",
      "    -321895, -343821, -365747, -387673, -409599, -431525, -453451, -475377,\n",
      "    -497303, -519230, -541156, -563082, -585008, -606934, -628860, -650786,\n",
      "    4571, -17355, -39281, -61207, -83133, -105059, -126986, -148912,\n",
      "    -170838, -192764, -214690, -236616, -258542, -280468, -302394, -324320,\n",
      "    -346246, -368172, -390098, -412024, -433951, -455877, -477803, -499729,\n",
      "    -521655, -543581, -565507, -587433, -609359, -631285, -653211, -675137}\n",
      "}; // panel4 end\n",
      "\n",
      "int32_t panel5[2][512] = { // panel5 begin\n",
      "   // x values\n",
      "   {-1016131, -1020691, -1025252, -1029812, -1034373, -1038933, -1043494, -1048054,\n",
      "    -1052614, -1057175, -1061735, -1066296, -1070856, -1075416, -1079977, -1084537,\n",
      "    -1089098, -1093658, -1098219, -1102779, -1107339, -1111900, -1116460, -1121021,\n",
      "    -1125581, -1130142, -1134702, -1139262, -1143823, -1148383, -1152944, -1157504,\n",
      "    -983682, -988242, -992803, -997363, -1001924, -1006484, -1011044, -1015605,\n",
      "    -1020165, -1024726, -1029286, -1033847, -1038407, -1042967, -1047528, -1052088,\n",
      "    -1056649, -1061209, -1065770, -1070330, -1074890, -1079451, -1084011, -1088572,\n",
      "    -1093132, -1097692, -1102253, -1106813, -1111374, -1115934, -1120495, -1125055,\n",
      "    -951233, -955793, -960354, -964914, -969474, -974035, -978595, -983156,\n",
      "    -987716, -992277, -996837, -1001397, -1005958, -1010518, -1015079, -1019639,\n",
      "    -1024200, -1028760, -1033320, -1037881, -1042441, -1047002, -1051562, -1056123,\n",
      "    -1060683, -1065243, -1069804, -1074364, -1078925, -1083485, -1088045, -1092606,\n",
      "    -918784, -923344, -927905, -932465, -937025, -941586, -946146, -950707,\n",
      "    -955267, -959827, -964388, -968948, -973509, -978069, -982630, -987190,\n",
      "    -991750, -996311, -1000871, -1005432, -1009992, -1014553, -1019113, -1023673,\n",
      "    -1028234, -1032794, -1037355, -1041915, -1046476, -1051036, -1055596, -1060157,\n",
      "    -886335, -890895, -895455, -900016, -904576, -909137, -913697, -918258,\n",
      "    -922818, -927378, -931939, -936499, -941060, -945620, -950180, -954741,\n",
      "    -959301, -963862, -968422, -972983, -977543, -982103, -986664, -991224,\n",
      "    -995785, -1000345, -1004906, -1009466, -1014026, -1018587, -1023147, -1027708,\n",
      "    -853885, -858446, -863006, -867567, -872127, -876688, -881248, -885808,\n",
      "    -890369, -894929, -899490, -904050, -908611, -913171, -917731, -922292,\n",
      "    -926852, -931413, -935973, -940534, -945094, -949654, -954215, -958775,\n",
      "    -963336, -967896, -972456, -977017, -981577, -986138, -990698, -995259,\n",
      "    -821436, -825997, -830557, -835118, -839678, -844238, -848799, -853359,\n",
      "    -857920, -862480, -867041, -871601, -876161, -880722, -885282, -889843,\n",
      "    -894403, -898964, -903524, -908084, -912645, -917205, -921766, -926326,\n",
      "    -930887, -935447, -940007, -944568, -949128, -953689, -958249, -962810,\n",
      "    -788987, -793548, -798108, -802669, -807229, -811789, -816350, -820910,\n",
      "    -825471, -830031, -834591, -839152, -843712, -848273, -852833, -857394,\n",
      "    -861954, -866514, -871075, -875635, -880196, -884756, -889317, -893877,\n",
      "    -898437, -902998, -907558, -912119, -916679, -921240, -925800, -930360,\n",
      "    -756538, -761099, -765659, -770219, -774780, -779340, -783901, -788461,\n",
      "    -793022, -797582, -802142, -806703, -811263, -815824, -820384, -824945,\n",
      "    -829505, -834065, -838626, -843186, -847747, -852307, -856867, -861428,\n",
      "    -865988, -870549, -875109, -879670, -884230, -888790, -893351, -897911,\n",
      "    -724089, -728649, -733210, -737770, -742331, -746891, -751452, -756012,\n",
      "    -760572, -765133, -769693, -774254, -778814, -783375, -787935, -792495,\n",
      "    -797056, -801616, -806177, -810737, -815298, -819858, -824418, -828979,\n",
      "    -833539, -838100, -842660, -847220, -851781, -856341, -860902, -865462,\n",
      "    -691640, -696200, -700761, -705321, -709882, -714442, -719002, -723563,\n",
      "    -728123, -732684, -737244, -741805, -746365, -750925, -755486, -760046,\n",
      "    -764607, -769167, -773728, -778288, -782848, -787409, -791969, -796530,\n",
      "    -801090, -805651, -810211, -814771, -819332, -823892, -828453, -833013,\n",
      "    -659191, -663751, -668312, -672872, -677433, -681993, -686553, -691114,\n",
      "    -695674, -700235, -704795, -709355, -713916, -718476, -723037, -727597,\n",
      "    -732158, -736718, -741278, -745839, -750399, -754960, -759520, -764081,\n",
      "    -768641, -773201, -777762, -782322, -786883, -791443, -796004, -800564,\n",
      "    -626742, -631302, -635863, -640423, -644983, -649544, -654104, -658665,\n",
      "    -663225, -667786, -672346, -676906, -681467, -686027, -690588, -695148,\n",
      "    -699709, -704269, -708829, -713390, -717950, -722511, -727071, -731631,\n",
      "    -736192, -740752, -745313, -749873, -754434, -758994, -763554, -768115,\n",
      "    -594293, -598853, -603413, -607974, -612534, -617095, -621655, -626216,\n",
      "    -630776, -635336, -639897, -644457, -649018, -653578, -658139, -662699,\n",
      "    -667259, -671820, -676380, -680941, -685501, -690062, -694622, -699182,\n",
      "    -703743, -708303, -712864, -717424, -721985, -726545, -731105, -735666,\n",
      "    -561844, -566404, -570964, -575525, -580085, -584646, -589206, -593766,\n",
      "    -598327, -602887, -607448, -612008, -616569, -621129, -625689, -630250,\n",
      "    -634810, -639371, -643931, -648492, -653052, -657612, -662173, -666733,\n",
      "    -671294, -675854, -680415, -684975, -689535, -694096, -698656, -703217,\n",
      "    -529394, -533955, -538515, -543076, -547636, -552197, -556757, -561317,\n",
      "    -565878, -570438, -574999, -579559, -584120, -588680, -593240, -597801,\n",
      "    -602361, -606922, -611482, -616042, -620603, -625163, -629724, -634284,\n",
      "    -638845, -643405, -647965, -652526, -657086, -661647, -666207, -670768},\n",
      "   // y values\n",
      "   {-369841, -402291, -434740, -467189, -499638, -532087, -564536, -596985,\n",
      "    -629434, -661883, -694332, -726782, -759231, -791680, -824129, -856578,\n",
      "    -889027, -921476, -953925, -986374, -1018824, -1051273, -1083722, -1116171,\n",
      "    -1148620, -1181069, -1213518, -1245967, -1278416, -1310865, -1343315, -1375764,\n",
      "    -374402, -406851, -439300, -471749, -504198, -536647, -569096, -601546,\n",
      "    -633995, -666444, -698893, -731342, -763791, -796240, -828689, -861138,\n",
      "    -893588, -926037, -958486, -990935, -1023384, -1055833, -1088282, -1120731,\n",
      "    -1153180, -1185629, -1218079, -1250528, -1282977, -1315426, -1347875, -1380324,\n",
      "    -378962, -411411, -443860, -476310, -508759, -541208, -573657, -606106,\n",
      "    -638555, -671004, -703453, -735902, -768352, -800801, -833250, -865699,\n",
      "    -898148, -930597, -963046, -995495, -1027944, -1060393, -1092843, -1125292,\n",
      "    -1157741, -1190190, -1222639, -1255088, -1287537, -1319986, -1352435, -1384885,\n",
      "    -383523, -415972, -448421, -480870, -513319, -545768, -578217, -610666,\n",
      "    -643116, -675565, -708014, -740463, -772912, -805361, -837810, -870259,\n",
      "    -902708, -935157, -967607, -1000056, -1032505, -1064954, -1097403, -1129852,\n",
      "    -1162301, -1194750, -1227199, -1259649, -1292098, -1324547, -1356996, -1389445,\n",
      "    -388083, -420532, -452981, -485430, -517880, -550329, -582778, -615227,\n",
      "    -647676, -680125, -712574, -745023, -777472, -809921, -842371, -874820,\n",
      "    -907269, -939718, -972167, -1004616, -1037065, -1069514, -1101963, -1134413,\n",
      "    -1166862, -1199311, -1231760, -1264209, -1296658, -1329107, -1361556, -1394005,\n",
      "    -392644, -425093, -457542, -489991, -522440, -554889, -587338, -619787,\n",
      "    -652236, -684685, -717135, -749584, -782033, -814482, -846931, -879380,\n",
      "    -911829, -944278, -976727, -1009177, -1041626, -1074075, -1106524, -1138973,\n",
      "    -1171422, -1203871, -1236320, -1268769, -1301218, -1333668, -1366117, -1398566,\n",
      "    -397204, -429653, -462102, -494551, -527000, -559449, -591899, -624348,\n",
      "    -656797, -689246, -721695, -754144, -786593, -819042, -851491, -883941,\n",
      "    -916390, -948839, -981288, -1013737, -1046186, -1078635, -1111084, -1143533,\n",
      "    -1175982, -1208432, -1240881, -1273330, -1305779, -1338228, -1370677, -1403126,\n",
      "    -401764, -434214, -466663, -499112, -531561, -564010, -596459, -628908,\n",
      "    -661357, -693806, -726255, -758705, -791154, -823603, -856052, -888501,\n",
      "    -920950, -953399, -985848, -1018297, -1050746, -1083196, -1115645, -1148094,\n",
      "    -1180543, -1212992, -1245441, -1277890, -1310339, -1342788, -1375238, -1407687,\n",
      "    -406325, -438774, -471223, -503672, -536121, -568570, -601019, -633469,\n",
      "    -665918, -698367, -730816, -763265, -795714, -828163, -860612, -893061,\n",
      "    -925510, -957960, -990409, -1022858, -1055307, -1087756, -1120205, -1152654,\n",
      "    -1185103, -1217552, -1250002, -1282451, -1314900, -1347349, -1379798, -1412247,\n",
      "    -410885, -443334, -475783, -508233, -540682, -573131, -605580, -638029,\n",
      "    -670478, -702927, -735376, -767825, -800274, -832724, -865173, -897622,\n",
      "    -930071, -962520, -994969, -1027418, -1059867, -1092316, -1124766, -1157215,\n",
      "    -1189664, -1222113, -1254562, -1287011, -1319460, -1351909, -1384358, -1416807,\n",
      "    -415446, -447895, -480344, -512793, -545242, -577691, -610140, -642589,\n",
      "    -675039, -707488, -739937, -772386, -804835, -837284, -869733, -902182,\n",
      "    -934631, -967080, -999530, -1031979, -1064428, -1096877, -1129326, -1161775,\n",
      "    -1194224, -1226673, -1259122, -1291571, -1324021, -1356470, -1388919, -1421368,\n",
      "    -420006, -452455, -484904, -517353, -549803, -582252, -614701, -647150,\n",
      "    -679599, -712048, -744497, -776946, -809395, -841844, -874294, -906743,\n",
      "    -939192, -971641, -1004090, -1036539, -1068988, -1101437, -1133886, -1166335,\n",
      "    -1198785, -1231234, -1263683, -1296132, -1328581, -1361030, -1393479, -1425928,\n",
      "    -424567, -457016, -489465, -521914, -554363, -586812, -619261, -651710,\n",
      "    -684159, -716608, -749058, -781507, -813956, -846405, -878854, -911303,\n",
      "    -943752, -976201, -1008650, -1041099, -1073549, -1105998, -1138447, -1170896,\n",
      "    -1203345, -1235794, -1268243, -1300692, -1333141, -1365591, -1398040, -1430489,\n",
      "    -429127, -461576, -494025, -526474, -558923, -591372, -623822, -656271,\n",
      "    -688720, -721169, -753618, -786067, -818516, -850965, -883414, -915864,\n",
      "    -948313, -980762, -1013211, -1045660, -1078109, -1110558, -1143007, -1175456,\n",
      "    -1207905, -1240355, -1272804, -1305253, -1337702, -1370151, -1402600, -1435049,\n",
      "    -433687, -466136, -498586, -531035, -563484, -595933, -628382, -660831,\n",
      "    -693280, -725729, -758178, -790628, -823077, -855526, -887975, -920424,\n",
      "    -952873, -985322, -1017771, -1050220, -1082669, -1115119, -1147568, -1180017,\n",
      "    -1212466, -1244915, -1277364, -1309813, -1342262, -1374711, -1407160, -1439610,\n",
      "    -438248, -470697, -503146, -535595, -568044, -600493, -632942, -665392,\n",
      "    -697841, -730290, -762739, -795188, -827637, -860086, -892535, -924984,\n",
      "    -957433, -989883, -1022332, -1054781, -1087230, -1119679, -1152128, -1184577,\n",
      "    -1217026, -1249475, -1281924, -1314374, -1346823, -1379272, -1411721, -1444170}\n",
      "}; // panel5 end\n",
      "\n",
      "int32_t panel6[2][512] = { // panel6 begin\n",
      "   // x values\n",
      "   {-540672, -523308, -505943, -488579, -471214, -453850, -436486, -419121,\n",
      "    -401757, -384392, -367028, -349664, -332299, -314935, -297570, -280206,\n",
      "    -262842, -245477, -228113, -210749, -193384, -176020, -158655, -141291,\n",
      "    -123927, -106562, -89198, -71833, -54469, -37105, -19740, -2376,\n",
      "    -512883, -495519, -478154, -460790, -443426, -426061, -408697, -391332,\n",
      "    -373968, -356604, -339239, -321875, -304510, -287146, -269782, -252417,\n",
      "    -235053, -217688, -200324, -182960, -165595, -148231, -130866, -113502,\n",
      "    -96138, -78773, -61409, -44045, -26680, -9316, 8049, 25413,\n",
      "    -485094, -467730, -450366, -433001, -415637, -398272, -380908, -363544,\n",
      "    -346179, -328815, -311450, -294086, -276722, -259357, -241993, -224628,\n",
      "    -207264, -189900, -172535, -155171, -137806, -120442, -103078, -85713,\n",
      "    -68349, -50984, -33620, -16256, 1109, 18473, 35838, 53202,\n",
      "    -457305, -439941, -422577, -405212, -387848, -370484, -353119, -335755,\n",
      "    -318390, -301026, -283662, -266297, -248933, -231568, -214204, -196840,\n",
      "    -179475, -162111, -144746, -127382, -110018, -92653, -75289, -57924,\n",
      "    -40560, -23196, -5831, 11533, 28898, 46262, 63626, 80991,\n",
      "    -429517, -412152, -394788, -377423, -360059, -342695, -325330, -307966,\n",
      "    -290601, -273237, -255873, -238508, -221144, -203780, -186415, -169051,\n",
      "    -151686, -134322, -116958, -99593, -82229, -64864, -47500, -30136,\n",
      "    -12771, 4593, 21958, 39322, 56686, 74051, 91415, 108780,\n",
      "    -401728, -384363, -366999, -349635, -332270, -314906, -297541, -280177,\n",
      "    -262813, -245448, -228084, -210719, -193355, -175991, -158626, -141262,\n",
      "    -123897, -106533, -89169, -71804, -54440, -37076, -19711, -2347,\n",
      "    15018, 32382, 49746, 67111, 84475, 101840, 119204, 136568,\n",
      "    -373939, -356575, -339210, -321846, -304481, -287117, -269753, -252388,\n",
      "    -235024, -217659, -200295, -182931, -165566, -148202, -130837, -113473,\n",
      "    -96109, -78744, -61380, -44015, -26651, -9287, 8078, 25442,\n",
      "    42807, 60171, 77535, 94900, 112264, 129628, 146993, 164357,\n",
      "    -346150, -328786, -311421, -294057, -276693, -259328, -241964, -224599,\n",
      "    -207235, -189871, -172506, -155142, -137777, -120413, -103049, -85684,\n",
      "    -68320, -50955, -33591, -16227, 1138, 18502, 35867, 53231,\n",
      "    70595, 87960, 105324, 122689, 140053, 157417, 174782, 192146,\n",
      "    -318361, -300997, -283632, -266268, -248904, -231539, -214175, -196811,\n",
      "    -179446, -162082, -144717, -127353, -109989, -92624, -75260, -57895,\n",
      "    -40531, -23167, -5802, 11562, 28927, 46291, 63655, 81020,\n",
      "    98384, 115749, 133113, 150477, 167842, 185206, 202571, 219935,\n",
      "    -290572, -273208, -255844, -238479, -221115, -203750, -186386, -169022,\n",
      "    -151657, -134293, -116928, -99564, -82200, -64835, -47471, -30107,\n",
      "    -12742, 4622, 21987, 39351, 56715, 74080, 91444, 108809,\n",
      "    126173, 143537, 160902, 178266, 195631, 212995, 230359, 247724,\n",
      "    -262784, -245419, -228055, -210690, -193326, -175962, -158597, -141233,\n",
      "    -123868, -106504, -89140, -71775, -54411, -37046, -19682, -2318,\n",
      "    15047, 32411, 49776, 67140, 84504, 101869, 119233, 136597,\n",
      "    153962, 171326, 188691, 206055, 223419, 240784, 258148, 275513,\n",
      "    -234995, -217630, -200266, -182902, -165537, -148173, -130808, -113444,\n",
      "    -96080, -78715, -61351, -43986, -26622, -9258, 8107, 25471,\n",
      "    42836, 60200, 77564, 94929, 112293, 129658, 147022, 164386,\n",
      "    181751, 199115, 216479, 233844, 251208, 268573, 285937, 303301,\n",
      "    -207206, -189842, -172477, -155113, -137748, -120384, -103020, -85655,\n",
      "    -68291, -50926, -33562, -16198, 1167, 18531, 35896, 53260,\n",
      "    70624, 87989, 105353, 122718, 140082, 157446, 174811, 192175,\n",
      "    209540, 226904, 244268, 261633, 278997, 296362, 313726, 331090,\n",
      "    -179417, -162053, -144688, -127324, -109960, -92595, -75231, -57866,\n",
      "    -40502, -23138, -5773, 11591, 28956, 46320, 63684, 81049,\n",
      "    98413, 115778, 133142, 150506, 167871, 185235, 202600, 219964,\n",
      "    237328, 254693, 272057, 289422, 306786, 324150, 341515, 358879,\n",
      "    -151628, -134264, -116899, -99535, -82171, -64806, -47442, -30077,\n",
      "    -12713, 4651, 22016, 39380, 56744, 74109, 91473, 108838,\n",
      "    126202, 143566, 160931, 178295, 195660, 213024, 230388, 247753,\n",
      "    265117, 282482, 299846, 317210, 334575, 351939, 369304, 386668,\n",
      "    -123839, -106475, -89111, -71746, -54382, -37017, -19653, -2289,\n",
      "    15076, 32440, 49805, 67169, 84533, 101898, 119262, 136627,\n",
      "    153991, 171355, 188720, 206084, 223448, 240813, 258177, 275542,\n",
      "    292906, 310270, 327635, 344999, 362364, 379728, 397092, 414457},\n",
      "   // y values\n",
      "   {-936471, -964260, -992049, -1019838, -1047627, -1075416, -1103204, -1130993,\n",
      "    -1158782, -1186571, -1214360, -1242149, -1269937, -1297726, -1325515, -1353304,\n",
      "    -1381093, -1408882, -1436670, -1464459, -1492248, -1520037, -1547826, -1575615,\n",
      "    -1603404, -1631192, -1658981, -1686770, -1714559, -1742348, -1770137, -1797925,\n",
      "    -919107, -946896, -974685, -1002473, -1030262, -1058051, -1085840, -1113629,\n",
      "    -1141418, -1169207, -1196995, -1224784, -1252573, -1280362, -1308151, -1335940,\n",
      "    -1363728, -1391517, -1419306, -1447095, -1474884, -1502673, -1530461, -1558250,\n",
      "    -1586039, -1613828, -1641617, -1669406, -1697195, -1724983, -1752772, -1780561,\n",
      "    -901743, -929531, -957320, -985109, -1012898, -1040687, -1068476, -1096264,\n",
      "    -1124053, -1151842, -1179631, -1207420, -1235209, -1262998, -1290786, -1318575,\n",
      "    -1346364, -1374153, -1401942, -1429731, -1457519, -1485308, -1513097, -1540886,\n",
      "    -1568675, -1596464, -1624252, -1652041, -1679830, -1707619, -1735408, -1763197,\n",
      "    -884378, -912167, -939956, -967745, -995534, -1023322, -1051111, -1078900,\n",
      "    -1106689, -1134478, -1162267, -1190055, -1217844, -1245633, -1273422, -1301211,\n",
      "    -1329000, -1356788, -1384577, -1412366, -1440155, -1467944, -1495733, -1523522,\n",
      "    -1551310, -1579099, -1606888, -1634677, -1662466, -1690255, -1718043, -1745832,\n",
      "    -867014, -894803, -922591, -950380, -978169, -1005958, -1033747, -1061536,\n",
      "    -1089325, -1117113, -1144902, -1172691, -1200480, -1228269, -1256058, -1283846,\n",
      "    -1311635, -1339424, -1367213, -1395002, -1422791, -1450579, -1478368, -1506157,\n",
      "    -1533946, -1561735, -1589524, -1617312, -1645101, -1672890, -1700679, -1728468,\n",
      "    -849649, -877438, -905227, -933016, -960805, -988594, -1016382, -1044171,\n",
      "    -1071960, -1099749, -1127538, -1155327, -1183115, -1210904, -1238693, -1266482,\n",
      "    -1294271, -1322060, -1349849, -1377637, -1405426, -1433215, -1461004, -1488793,\n",
      "    -1516582, -1544370, -1572159, -1599948, -1627737, -1655526, -1683315, -1711103,\n",
      "    -832285, -860074, -887863, -915652, -943440, -971229, -999018, -1026807,\n",
      "    -1054596, -1082385, -1110173, -1137962, -1165751, -1193540, -1221329, -1249118,\n",
      "    -1276906, -1304695, -1332484, -1360273, -1388062, -1415851, -1443639, -1471428,\n",
      "    -1499217, -1527006, -1554795, -1582584, -1610373, -1638161, -1665950, -1693739,\n",
      "    -814921, -842709, -870498, -898287, -926076, -953865, -981654, -1009442,\n",
      "    -1037231, -1065020, -1092809, -1120598, -1148387, -1176176, -1203964, -1231753,\n",
      "    -1259542, -1287331, -1315120, -1342909, -1370697, -1398486, -1426275, -1454064,\n",
      "    -1481853, -1509642, -1537430, -1565219, -1593008, -1620797, -1648586, -1676375,\n",
      "    -797556, -825345, -853134, -880923, -908712, -936500, -964289, -992078,\n",
      "    -1019867, -1047656, -1075445, -1103233, -1131022, -1158811, -1186600, -1214389,\n",
      "    -1242178, -1269966, -1297755, -1325544, -1353333, -1381122, -1408911, -1436700,\n",
      "    -1464488, -1492277, -1520066, -1547855, -1575644, -1603433, -1631221, -1659010,\n",
      "    -780192, -807981, -835770, -863558, -891347, -919136, -946925, -974714,\n",
      "    -1002503, -1030291, -1058080, -1085869, -1113658, -1141447, -1169236, -1197024,\n",
      "    -1224813, -1252602, -1280391, -1308180, -1335969, -1363757, -1391546, -1419335,\n",
      "    -1447124, -1474913, -1502702, -1530491, -1558279, -1586068, -1613857, -1641646,\n",
      "    -762827, -790616, -818405, -846194, -873983, -901772, -929560, -957349,\n",
      "    -985138, -1012927, -1040716, -1068505, -1096294, -1124082, -1151871, -1179660,\n",
      "    -1207449, -1235238, -1263027, -1290815, -1318604, -1346393, -1374182, -1401971,\n",
      "    -1429760, -1457548, -1485337, -1513126, -1540915, -1568704, -1596493, -1624281,\n",
      "    -745463, -773252, -801041, -828830, -856618, -884407, -912196, -939985,\n",
      "    -967774, -995563, -1023351, -1051140, -1078929, -1106718, -1134507, -1162296,\n",
      "    -1190084, -1217873, -1245662, -1273451, -1301240, -1329029, -1356818, -1384606,\n",
      "    -1412395, -1440184, -1467973, -1495762, -1523551, -1551339, -1579128, -1606917,\n",
      "    -728099, -755887, -783676, -811465, -839254, -867043, -894832, -922621,\n",
      "    -950409, -978198, -1005987, -1033776, -1061565, -1089354, -1117142, -1144931,\n",
      "    -1172720, -1200509, -1228298, -1256087, -1283875, -1311664, -1339453, -1367242,\n",
      "    -1395031, -1422820, -1450608, -1478397, -1506186, -1533975, -1561764, -1589553,\n",
      "    -710734, -738523, -766312, -794101, -821890, -849678, -877467, -905256,\n",
      "    -933045, -960834, -988623, -1016411, -1044200, -1071989, -1099778, -1127567,\n",
      "    -1155356, -1183145, -1210933, -1238722, -1266511, -1294300, -1322089, -1349878,\n",
      "    -1377666, -1405455, -1433244, -1461033, -1488822, -1516611, -1544399, -1572188,\n",
      "    -693370, -721159, -748948, -776736, -804525, -832314, -860103, -887892,\n",
      "    -915681, -943469, -971258, -999047, -1026836, -1054625, -1082414, -1110202,\n",
      "    -1137991, -1165780, -1193569, -1221358, -1249147, -1276935, -1304724, -1332513,\n",
      "    -1360302, -1388091, -1415880, -1443669, -1471457, -1499246, -1527035, -1554824,\n",
      "    -676005, -703794, -731583, -759372, -787161, -814950, -842738, -870527,\n",
      "    -898316, -926105, -953894, -981683, -1009472, -1037260, -1065049, -1092838,\n",
      "    -1120627, -1148416, -1176205, -1203993, -1231782, -1259571, -1287360, -1315149,\n",
      "    -1342938, -1370726, -1398515, -1426304, -1454093, -1481882, -1509671, -1537459}\n",
      "}; // panel6 end\n",
      "\n",
      "int32_t panel7[2][512] = { // panel7 begin\n",
      "   // x values\n",
      "   {187773, 218938, 250102, 281266, 312430, 343595, 374759, 405923,\n",
      "    437087, 468251, 499416, 530580, 561744, 592908, 624072, 655237,\n",
      "    686401, 717565, 748729, 779894, 811058, 842222, 873386, 904550,\n",
      "    935715, 966879, 998043, 1029207, 1060372, 1091536, 1122700, 1153864,\n",
      "    197899, 229064, 260228, 291392, 322556, 353720, 384885, 416049,\n",
      "    447213, 478377, 509541, 540706, 571870, 603034, 634198, 665363,\n",
      "    696527, 727691, 758855, 790019, 821184, 852348, 883512, 914676,\n",
      "    945841, 977005, 1008169, 1039333, 1070497, 1101662, 1132826, 1163990,\n",
      "    208025, 239189, 270354, 301518, 332682, 363846, 395010, 426175,\n",
      "    457339, 488503, 519667, 550832, 581996, 613160, 644324, 675488,\n",
      "    706653, 737817, 768981, 800145, 831310, 862474, 893638, 924802,\n",
      "    955966, 987131, 1018295, 1049459, 1080623, 1111788, 1142952, 1174116,\n",
      "    218151, 249315, 280479, 311644, 342808, 373972, 405136, 436301,\n",
      "    467465, 498629, 529793, 560957, 592122, 623286, 654450, 685614,\n",
      "    716779, 747943, 779107, 810271, 841435, 872600, 903764, 934928,\n",
      "    966092, 997257, 1028421, 1059585, 1090749, 1121913, 1153078, 1184242,\n",
      "    228277, 259441, 290605, 321770, 352934, 384098, 415262, 446426,\n",
      "    477591, 508755, 539919, 571083, 602248, 633412, 664576, 695740,\n",
      "    726904, 758069, 789233, 820397, 851561, 882726, 913890, 945054,\n",
      "    976218, 1007382, 1038547, 1069711, 1100875, 1132039, 1163203, 1194368,\n",
      "    238403, 269567, 300731, 331895, 363060, 394224, 425388, 456552,\n",
      "    487717, 518881, 550045, 581209, 612373, 643538, 674702, 705866,\n",
      "    737030, 768194, 799359, 830523, 861687, 892851, 924016, 955180,\n",
      "    986344, 1017508, 1048672, 1079837, 1111001, 1142165, 1173329, 1204494,\n",
      "    248529, 279693, 310857, 342021, 373186, 404350, 435514, 466678,\n",
      "    497842, 529007, 560171, 591335, 622499, 653663, 684828, 715992,\n",
      "    747156, 778320, 809485, 840649, 871813, 902977, 934141, 965306,\n",
      "    996470, 1027634, 1058798, 1089963, 1121127, 1152291, 1183455, 1214619,\n",
      "    258654, 289819, 320983, 352147, 383311, 414476, 445640, 476804,\n",
      "    507968, 539132, 570297, 601461, 632625, 663789, 694954, 726118,\n",
      "    757282, 788446, 819610, 850775, 881939, 913103, 944267, 975432,\n",
      "    1006596, 1037760, 1068924, 1100088, 1131253, 1162417, 1193581, 1224745,\n",
      "    268780, 299945, 331109, 362273, 393437, 424601, 455766, 486930,\n",
      "    518094, 549258, 580423, 611587, 642751, 673915, 705079, 736244,\n",
      "    767408, 798572, 829736, 860901, 892065, 923229, 954393, 985557,\n",
      "    1016722, 1047886, 1079050, 1110214, 1141379, 1172543, 1203707, 1234871,\n",
      "    278906, 310070, 341235, 372399, 403563, 434727, 465892, 497056,\n",
      "    528220, 559384, 590548, 621713, 652877, 684041, 715205, 746370,\n",
      "    777534, 808698, 839862, 871026, 902191, 933355, 964519, 995683,\n",
      "    1026848, 1058012, 1089176, 1120340, 1151504, 1182669, 1213833, 1244997,\n",
      "    289032, 320196, 351361, 382525, 413689, 444853, 476017, 507182,\n",
      "    538346, 569510, 600674, 631839, 663003, 694167, 725331, 756495,\n",
      "    787660, 818824, 849988, 881152, 912317, 943481, 974645, 1005809,\n",
      "    1036973, 1068138, 1099302, 1130466, 1161630, 1192794, 1223959, 1255123,\n",
      "    299158, 330322, 361486, 392651, 423815, 454979, 486143, 517308,\n",
      "    548472, 579636, 610800, 641964, 673129, 704293, 735457, 766621,\n",
      "    797785, 828950, 860114, 891278, 922442, 953607, 984771, 1015935,\n",
      "    1047099, 1078263, 1109428, 1140592, 1171756, 1202920, 1234085, 1265249,\n",
      "    309284, 340448, 371612, 402777, 433941, 465105, 496269, 527433,\n",
      "    558598, 589762, 620926, 652090, 683254, 714419, 745583, 776747,\n",
      "    807911, 839076, 870240, 901404, 932568, 963732, 994897, 1026061,\n",
      "    1057225, 1088389, 1119554, 1150718, 1181882, 1213046, 1244210, 1275375,\n",
      "    319410, 350574, 381738, 412902, 444067, 475231, 506395, 537559,\n",
      "    568723, 599888, 631052, 662216, 693380, 724545, 755709, 786873,\n",
      "    818037, 849201, 880366, 911530, 942694, 973858, 1005023, 1036187,\n",
      "    1067351, 1098515, 1129679, 1160844, 1192008, 1223172, 1254336, 1285501,\n",
      "    329536, 360700, 391864, 423028, 454192, 485357, 516521, 547685,\n",
      "    578849, 610014, 641178, 672342, 703506, 734670, 765835, 796999,\n",
      "    828163, 859327, 890492, 921656, 952820, 983984, 1015148, 1046313,\n",
      "    1077477, 1108641, 1139805, 1170970, 1202134, 1233298, 1264462, 1295626,\n",
      "    339661, 370826, 401990, 433154, 464318, 495483, 526647, 557811,\n",
      "    588975, 620139, 651304, 682468, 713632, 744796, 775961, 807125,\n",
      "    838289, 869453, 900617, 931782, 962946, 994110, 1025274, 1056439,\n",
      "    1087603, 1118767, 1149931, 1181095, 1212260, 1243424, 1274588, 1305752},\n",
      "   // y values\n",
      "   {-1064916, -1075042, -1085168, -1095294, -1105419, -1115545, -1125671, -1135797,\n",
      "    -1145923, -1156049, -1166175, -1176301, -1186426, -1196552, -1206678, -1216804,\n",
      "    -1226930, -1237056, -1247182, -1257307, -1267433, -1277559, -1287685, -1297811,\n",
      "    -1307937, -1318063, -1328189, -1338314, -1348440, -1358566, -1368692, -1378818,\n",
      "    -1033752, -1043878, -1054003, -1064129, -1074255, -1084381, -1094507, -1104633,\n",
      "    -1114759, -1124885, -1135010, -1145136, -1155262, -1165388, -1175514, -1185640,\n",
      "    -1195766, -1205892, -1216017, -1226143, -1236269, -1246395, -1256521, -1266647,\n",
      "    -1276773, -1286898, -1297024, -1307150, -1317276, -1327402, -1337528, -1347654,\n",
      "    -1002588, -1012713, -1022839, -1032965, -1043091, -1053217, -1063343, -1073469,\n",
      "    -1083594, -1093720, -1103846, -1113972, -1124098, -1134224, -1144350, -1154476,\n",
      "    -1164601, -1174727, -1184853, -1194979, -1205105, -1215231, -1225357, -1235482,\n",
      "    -1245608, -1255734, -1265860, -1275986, -1286112, -1296238, -1306364, -1316489,\n",
      "    -971423, -981549, -991675, -1001801, -1011927, -1022053, -1032179, -1042304,\n",
      "    -1052430, -1062556, -1072682, -1082808, -1092934, -1103060, -1113185, -1123311,\n",
      "    -1133437, -1143563, -1153689, -1163815, -1173941, -1184067, -1194192, -1204318,\n",
      "    -1214444, -1224570, -1234696, -1244822, -1254948, -1265073, -1275199, -1285325,\n",
      "    -940259, -950385, -960511, -970637, -980763, -990888, -1001014, -1011140,\n",
      "    -1021266, -1031392, -1041518, -1051644, -1061770, -1071895, -1082021, -1092147,\n",
      "    -1102273, -1112399, -1122525, -1132651, -1142776, -1152902, -1163028, -1173154,\n",
      "    -1183280, -1193406, -1203532, -1213658, -1223783, -1233909, -1244035, -1254161,\n",
      "    -909095, -919221, -929347, -939472, -949598, -959724, -969850, -979976,\n",
      "    -990102, -1000228, -1010354, -1020479, -1030605, -1040731, -1050857, -1060983,\n",
      "    -1071109, -1081235, -1091360, -1101486, -1111612, -1121738, -1131864, -1141990,\n",
      "    -1152116, -1162242, -1172367, -1182493, -1192619, -1202745, -1212871, -1222997,\n",
      "    -877931, -888057, -898182, -908308, -918434, -928560, -938686, -948812,\n",
      "    -958938, -969063, -979189, -989315, -999441, -1009567, -1019693, -1029819,\n",
      "    -1039945, -1050070, -1060196, -1070322, -1080448, -1090574, -1100700, -1110826,\n",
      "    -1120951, -1131077, -1141203, -1151329, -1161455, -1171581, -1181707, -1191833,\n",
      "    -846766, -856892, -867018, -877144, -887270, -897396, -907522, -917647,\n",
      "    -927773, -937899, -948025, -958151, -968277, -978403, -988529, -998654,\n",
      "    -1008780, -1018906, -1029032, -1039158, -1049284, -1059410, -1069536, -1079661,\n",
      "    -1089787, -1099913, -1110039, -1120165, -1130291, -1140417, -1150542, -1160668,\n",
      "    -815602, -825728, -835854, -845980, -856106, -866232, -876357, -886483,\n",
      "    -896609, -906735, -916861, -926987, -937113, -947238, -957364, -967490,\n",
      "    -977616, -987742, -997868, -1007994, -1018120, -1028245, -1038371, -1048497,\n",
      "    -1058623, -1068749, -1078875, -1089001, -1099127, -1109252, -1119378, -1129504,\n",
      "    -784438, -794564, -804690, -814816, -824941, -835067, -845193, -855319,\n",
      "    -865445, -875571, -885697, -895823, -905948, -916074, -926200, -936326,\n",
      "    -946452, -956578, -966704, -976829, -986955, -997081, -1007207, -1017333,\n",
      "    -1027459, -1037585, -1047711, -1057836, -1067962, -1078088, -1088214, -1098340,\n",
      "    -753274, -763400, -773525, -783651, -793777, -803903, -814029, -824155,\n",
      "    -834281, -844407, -854532, -864658, -874784, -884910, -895036, -905162,\n",
      "    -915288, -925414, -935539, -945665, -955791, -965917, -976043, -986169,\n",
      "    -996295, -1006420, -1016546, -1026672, -1036798, -1046924, -1057050, -1067176,\n",
      "    -722110, -732235, -742361, -752487, -762613, -772739, -782865, -792991,\n",
      "    -803116, -813242, -823368, -833494, -843620, -853746, -863872, -873998,\n",
      "    -884123, -894249, -904375, -914501, -924627, -934753, -944879, -955005,\n",
      "    -965130, -975256, -985382, -995508, -1005634, -1015760, -1025886, -1036011,\n",
      "    -690945, -701071, -711197, -721323, -731449, -741575, -751701, -761826,\n",
      "    -771952, -782078, -792204, -802330, -812456, -822582, -832707, -842833,\n",
      "    -852959, -863085, -873211, -883337, -893463, -903589, -913714, -923840,\n",
      "    -933966, -944092, -954218, -964344, -974470, -984596, -994721, -1004847,\n",
      "    -659781, -669907, -680033, -690159, -700285, -710410, -720536, -730662,\n",
      "    -740788, -750914, -761040, -771166, -781292, -791417, -801543, -811669,\n",
      "    -821795, -831921, -842047, -852173, -862298, -872424, -882550, -892676,\n",
      "    -902802, -912928, -923054, -933180, -943305, -953431, -963557, -973683,\n",
      "    -628617, -638743, -648869, -658994, -669120, -679246, -689372, -699498,\n",
      "    -709624, -719750, -729876, -740001, -750127, -760253, -770379, -780505,\n",
      "    -790631, -800757, -810883, -821008, -831134, -841260, -851386, -861512,\n",
      "    -871638, -881764, -891889, -902015, -912141, -922267, -932393, -942519,\n",
      "    -597453, -607579, -617704, -627830, -637956, -648082, -658208, -668334,\n",
      "    -678460, -688585, -698711, -708837, -718963, -729089, -739215, -749341,\n",
      "    -759467, -769592, -779718, -789844, -799970, -810096, -820222, -830348,\n",
      "    -840474, -850599, -860725, -870851, -880977, -891103, -901229, -911355}\n",
      "}; // panel7 end\n",
      "\n",
      "int32_t panel8[2][512] = { // panel8 begin\n",
      "   // x values\n",
      "   {828358, 858740, 889121, 919503, 949885, 980267, 1010649, 1041031,\n",
      "    1071413, 1101795, 1132177, 1162559, 1192941, 1223323, 1253705, 1284087,\n",
      "    1314469, 1344851, 1375233, 1405615, 1435997, 1466379, 1496761, 1527143,\n",
      "    1557525, 1587907, 1618289, 1648670, 1679052, 1709434, 1739816, 1770198,\n",
      "    816082, 846464, 876846, 907228, 937610, 967992, 998374, 1028756,\n",
      "    1059138, 1089520, 1119902, 1150284, 1180666, 1211048, 1241430, 1271812,\n",
      "    1302194, 1332576, 1362958, 1393340, 1423722, 1454104, 1484486, 1514868,\n",
      "    1545250, 1575631, 1606013, 1636395, 1666777, 1697159, 1727541, 1757923,\n",
      "    803807, 834189, 864571, 894953, 925335, 955717, 986099, 1016481,\n",
      "    1046863, 1077245, 1107627, 1138009, 1168391, 1198773, 1229155, 1259537,\n",
      "    1289919, 1320301, 1350683, 1381065, 1411447, 1441829, 1472210, 1502592,\n",
      "    1532974, 1563356, 1593738, 1624120, 1654502, 1684884, 1715266, 1745648,\n",
      "    791532, 821914, 852296, 882678, 913060, 943442, 973824, 1004206,\n",
      "    1034588, 1064970, 1095352, 1125734, 1156116, 1186498, 1216880, 1247262,\n",
      "    1277644, 1308026, 1338408, 1368789, 1399171, 1429553, 1459935, 1490317,\n",
      "    1520699, 1551081, 1581463, 1611845, 1642227, 1672609, 1702991, 1733373,\n",
      "    779257, 809639, 840021, 870403, 900785, 931167, 961549, 991931,\n",
      "    1022313, 1052695, 1083077, 1113459, 1143841, 1174223, 1204605, 1234987,\n",
      "    1265368, 1295750, 1326132, 1356514, 1386896, 1417278, 1447660, 1478042,\n",
      "    1508424, 1538806, 1569188, 1599570, 1629952, 1660334, 1690716, 1721098,\n",
      "    766982, 797364, 827746, 858128, 888510, 918892, 949274, 979656,\n",
      "    1010038, 1040420, 1070802, 1101184, 1131566, 1161948, 1192329, 1222711,\n",
      "    1253093, 1283475, 1313857, 1344239, 1374621, 1405003, 1435385, 1465767,\n",
      "    1496149, 1526531, 1556913, 1587295, 1617677, 1648059, 1678441, 1708823,\n",
      "    754707, 785089, 815471, 845853, 876235, 906617, 936999, 967381,\n",
      "    997763, 1028145, 1058527, 1088908, 1119290, 1149672, 1180054, 1210436,\n",
      "    1240818, 1271200, 1301582, 1331964, 1362346, 1392728, 1423110, 1453492,\n",
      "    1483874, 1514256, 1544638, 1575020, 1605402, 1635784, 1666166, 1696548,\n",
      "    742432, 772814, 803196, 833578, 863960, 894342, 924724, 955106,\n",
      "    985487, 1015869, 1046251, 1076633, 1107015, 1137397, 1167779, 1198161,\n",
      "    1228543, 1258925, 1289307, 1319689, 1350071, 1380453, 1410835, 1441217,\n",
      "    1471599, 1501981, 1532363, 1562745, 1593127, 1623509, 1653891, 1684273,\n",
      "    730157, 760539, 790921, 821303, 851685, 882066, 912448, 942830,\n",
      "    973212, 1003594, 1033976, 1064358, 1094740, 1125122, 1155504, 1185886,\n",
      "    1216268, 1246650, 1277032, 1307414, 1337796, 1368178, 1398560, 1428942,\n",
      "    1459324, 1489706, 1520088, 1550470, 1580852, 1611234, 1641616, 1671997,\n",
      "    717882, 748264, 778646, 809027, 839409, 869791, 900173, 930555,\n",
      "    960937, 991319, 1021701, 1052083, 1082465, 1112847, 1143229, 1173611,\n",
      "    1203993, 1234375, 1264757, 1295139, 1325521, 1355903, 1386285, 1416667,\n",
      "    1447049, 1477431, 1507813, 1538195, 1568576, 1598958, 1629340, 1659722,\n",
      "    705606, 735988, 766370, 796752, 827134, 857516, 887898, 918280,\n",
      "    948662, 979044, 1009426, 1039808, 1070190, 1100572, 1130954, 1161336,\n",
      "    1191718, 1222100, 1252482, 1282864, 1313246, 1343628, 1374010, 1404392,\n",
      "    1434774, 1465155, 1495537, 1525919, 1556301, 1586683, 1617065, 1647447,\n",
      "    693331, 723713, 754095, 784477, 814859, 845241, 875623, 906005,\n",
      "    936387, 966769, 997151, 1027533, 1057915, 1088297, 1118679, 1149061,\n",
      "    1179443, 1209825, 1240207, 1270589, 1300971, 1331353, 1361734, 1392116,\n",
      "    1422498, 1452880, 1483262, 1513644, 1544026, 1574408, 1604790, 1635172,\n",
      "    681056, 711438, 741820, 772202, 802584, 832966, 863348, 893730,\n",
      "    924112, 954494, 984876, 1015258, 1045640, 1076022, 1106404, 1136786,\n",
      "    1167168, 1197550, 1227932, 1258314, 1288695, 1319077, 1349459, 1379841,\n",
      "    1410223, 1440605, 1470987, 1501369, 1531751, 1562133, 1592515, 1622897,\n",
      "    668781, 699163, 729545, 759927, 790309, 820691, 851073, 881455,\n",
      "    911837, 942219, 972601, 1002983, 1033365, 1063747, 1094129, 1124511,\n",
      "    1154893, 1185274, 1215656, 1246038, 1276420, 1306802, 1337184, 1367566,\n",
      "    1397948, 1428330, 1458712, 1489094, 1519476, 1549858, 1580240, 1610622,\n",
      "    656506, 686888, 717270, 747652, 778034, 808416, 838798, 869180,\n",
      "    899562, 929944, 960326, 990708, 1021090, 1051472, 1081853, 1112235,\n",
      "    1142617, 1172999, 1203381, 1233763, 1264145, 1294527, 1324909, 1355291,\n",
      "    1385673, 1416055, 1446437, 1476819, 1507201, 1537583, 1567965, 1598347,\n",
      "    644231, 674613, 704995, 735377, 765759, 796141, 826523, 856905,\n",
      "    887287, 917669, 948051, 978432, 1008814, 1039196, 1069578, 1099960,\n",
      "    1130342, 1160724, 1191106, 1221488, 1251870, 1282252, 1312634, 1343016,\n",
      "    1373398, 1403780, 1434162, 1464544, 1494926, 1525308, 1555690, 1586072},\n",
      "   // y values\n",
      "   {-695075, -682799, -670524, -658249, -645974, -633699, -621424, -609149,\n",
      "    -596874, -584599, -572323, -560048, -547773, -535498, -523223, -510948,\n",
      "    -498673, -486398, -474123, -461847, -449572, -437297, -425022, -412747,\n",
      "    -400472, -388197, -375922, -363647, -351371, -339096, -326821, -314546,\n",
      "    -664693, -652417, -640142, -627867, -615592, -603317, -591042, -578767,\n",
      "    -566492, -554217, -541941, -529666, -517391, -505116, -492841, -480566,\n",
      "    -468291, -456016, -443741, -431465, -419190, -406915, -394640, -382365,\n",
      "    -370090, -357815, -345540, -333265, -320990, -308714, -296439, -284164,\n",
      "    -634311, -622035, -609760, -597485, -585210, -572935, -560660, -548385,\n",
      "    -536110, -523835, -511560, -499284, -487009, -474734, -462459, -450184,\n",
      "    -437909, -425634, -413359, -401084, -388808, -376533, -364258, -351983,\n",
      "    -339708, -327433, -315158, -302883, -290608, -278332, -266057, -253782,\n",
      "    -603929, -591654, -579378, -567103, -554828, -542553, -530278, -518003,\n",
      "    -505728, -493453, -481178, -468902, -456627, -444352, -432077, -419802,\n",
      "    -407527, -395252, -382977, -370702, -358426, -346151, -333876, -321601,\n",
      "    -309326, -297051, -284776, -272501, -260226, -247950, -235675, -223400,\n",
      "    -573547, -561272, -548996, -536721, -524446, -512171, -499896, -487621,\n",
      "    -475346, -463071, -450796, -438520, -426245, -413970, -401695, -389420,\n",
      "    -377145, -364870, -352595, -340320, -328045, -315769, -303494, -291219,\n",
      "    -278944, -266669, -254394, -242119, -229844, -217569, -205293, -193018,\n",
      "    -543165, -530890, -518615, -506339, -494064, -481789, -469514, -457239,\n",
      "    -444964, -432689, -420414, -408139, -395863, -383588, -371313, -359038,\n",
      "    -346763, -334488, -322213, -309938, -297663, -285387, -273112, -260837,\n",
      "    -248562, -236287, -224012, -211737, -199462, -187187, -174911, -162636,\n",
      "    -512783, -500508, -488233, -475957, -463682, -451407, -439132, -426857,\n",
      "    -414582, -402307, -390032, -377757, -365481, -353206, -340931, -328656,\n",
      "    -316381, -304106, -291831, -279556, -267281, -255005, -242730, -230455,\n",
      "    -218180, -205905, -193630, -181355, -169080, -156805, -144529, -132254,\n",
      "    -482401, -470126, -457851, -445575, -433300, -421025, -408750, -396475,\n",
      "    -384200, -371925, -359650, -347375, -335099, -322824, -310549, -298274,\n",
      "    -285999, -273724, -261449, -249174, -236899, -224624, -212348, -200073,\n",
      "    -187798, -175523, -163248, -150973, -138698, -126423, -114148, -101872,\n",
      "    -452019, -439744, -427469, -415194, -402918, -390643, -378368, -366093,\n",
      "    -353818, -341543, -329268, -316993, -304718, -292442, -280167, -267892,\n",
      "    -255617, -243342, -231067, -218792, -206517, -194242, -181966, -169691,\n",
      "    -157416, -145141, -132866, -120591, -108316, -96041, -83766, -71490,\n",
      "    -421637, -409362, -397087, -384812, -372536, -360261, -347986, -335711,\n",
      "    -323436, -311161, -298886, -286611, -274336, -262060, -249785, -237510,\n",
      "    -225235, -212960, -200685, -188410, -176135, -163860, -151584, -139309,\n",
      "    -127034, -114759, -102484, -90209, -77934, -65659, -53384, -41109,\n",
      "    -391255, -378980, -366705, -354430, -342154, -329879, -317604, -305329,\n",
      "    -293054, -280779, -268504, -256229, -243954, -231679, -219403, -207128,\n",
      "    -194853, -182578, -170303, -158028, -145753, -133478, -121203, -108927,\n",
      "    -96652, -84377, -72102, -59827, -47552, -35277, -23002, -10727,\n",
      "    -360873, -348598, -336323, -324048, -311773, -299497, -287222, -274947,\n",
      "    -262672, -250397, -238122, -225847, -213572, -201297, -189021, -176746,\n",
      "    -164471, -152196, -139921, -127646, -115371, -103096, -90821, -78545,\n",
      "    -66270, -53995, -41720, -29445, -17170, -4895, 7380, 19655,\n",
      "    -330491, -318216, -305941, -293666, -281391, -269115, -256840, -244565,\n",
      "    -232290, -220015, -207740, -195465, -183190, -170915, -158639, -146364,\n",
      "    -134089, -121814, -109539, -97264, -84989, -72714, -60439, -48163,\n",
      "    -35888, -23613, -11338, 937, 13212, 25487, 37762, 50037,\n",
      "    -300109, -287834, -275559, -263284, -251009, -238733, -226458, -214183,\n",
      "    -201908, -189633, -177358, -165083, -152808, -140533, -128258, -115982,\n",
      "    -103707, -91432, -79157, -66882, -54607, -42332, -30057, -17782,\n",
      "    -5506, 6769, 19044, 31319, 43594, 55869, 68144, 80419,\n",
      "    -269727, -257452, -245177, -232902, -220627, -208352, -196076, -183801,\n",
      "    -171526, -159251, -146976, -134701, -122426, -110151, -97876, -85600,\n",
      "    -73325, -61050, -48775, -36500, -24225, -11950, 325, 12600,\n",
      "    24876, 37151, 49426, 61701, 73976, 86251, 98526, 110801,\n",
      "    -239345, -227070, -214795, -202520, -190245, -177970, -165694, -153419,\n",
      "    -141144, -128869, -116594, -104319, -92044, -79769, -67494, -55218,\n",
      "    -42943, -30668, -18393, -6118, 6157, 18432, 30707, 42982,\n",
      "    55257, 67533, 79808, 92083, 104358, 116633, 128908, 141183}\n",
      "}; // panel8 end\n",
      "\n"
     ]
    }
   ],
   "source": [
    "panel_cnt = 0\n",
    "\n",
    "for a in angles:\n",
    "    panel_rot = rot_matrix(a, panel_trans)\n",
    "    panel_xvals_q = np.round(panel_rot[0]*32768).astype(int)\n",
    "    panel_yvals_q = np.round(panel_rot[1]*32768).astype(int)\n",
    "\n",
    "    print(f'int32_t panel{panel_cnt}[2][512] = {{' +  f' // panel{panel_cnt} begin')\n",
    "    print(\"   // x values\")\n",
    "    print( to_c_array(panel_xvals_q.tolist(), ctype=\"int32_t\" ) + \",\")\n",
    "    print(\"   // y values\")\n",
    "    print( to_c_array(panel_yvals_q.tolist(), ctype=\"int32_t\" ) + \"\\n};\" + f' // panel{panel_cnt} end\\n')\n",
    "\n",
    "    panel_cnt = panel_cnt + 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}