light_maymays/sphere_movement/slerp.ipynb

101 lines
39 KiB
Plaintext
Raw Permalink Blame History

This file contains ambiguous Unicode characters

This file contains Unicode characters that might be confused with other characters. If you think that this is intentional, you can safely ignore this warning. Use the Escape button to reveal them.

{
"cells": [
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"def to_quaternion(pan, tilt):\n",
" pass\n",
"\n",
"def to_pan_tilt(q):\n",
" pass"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f68a28cf0d0>]"
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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",
"image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<svg height=\"290.472812pt\" version=\"1.1\" viewBox=\"0 0 433.926562 290.472812\" width=\"433.926562pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <metadata>\n <rdf:RDF xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n <cc:Work>\n <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n <dc:date>2021-10-26T14:09:30.821231</dc:date>\n <dc:format>image/svg+xml</dc:format>\n <dc:creator>\n <cc:Agent>\n <dc:title>Matplotlib v3.4.3, https://matplotlib.org/</dc:title>\n </cc:Agent>\n </dc:creator>\n </cc:Work>\n </rdf:RDF>\n </metadata>\n <defs>\n <style type=\"text/css\">*{stroke-linecap:butt;stroke-linejoin:round;}</style>\n </defs>\n <g id=\"figure_1\">\n <g id=\"patch_1\">\n <path d=\"M 0 290.472812 \nL 433.926562 290.472812 \nL 433.926562 0 \nL 0 0 \nz\n\" style=\"fill:none;\"/>\n </g>\n <g id=\"axes_1\">\n <g id=\"patch_2\">\n <path d=\"M 52.160938 252.916562 \nL 386.960938 252.916562 \nL 386.960938 35.476562 \nL 52.160938 35.476562 \nz\n\" style=\"fill:#ffffff;\"/>\n </g>\n <g id=\"matplotlib.axis_1\">\n <g id=\"xtick_1\">\n <g id=\"line2d_1\">\n <defs>\n <path d=\"M 0 0 \nL 0 3.5 \n\" id=\"m0b3a705740\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n </defs>\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"77.467404\" xlink:href=\"#m0b3a705740\" y=\"252.916562\"/>\n </g>\n </g>\n <g id=\"text_1\">\n <!-- 4 -->\n <g transform=\"translate(70.096311 267.515)scale(0.1 -0.1)\">\n <defs>\n <path d=\"M 678 2272 \nL 4684 2272 \nL 4684 1741 \nL 678 1741 \nL 678 2272 \nz\n\" id=\"DejaVuSans-2212\" transform=\"scale(0.015625)\"/>\n <path d=\"M 2419 4116 \nL 825 1625 \nL 2419 1625 \nL 2419 4116 \nz\nM 2253 4666 \nL 3047 4666 \nL 3047 1625 \nL 3713 1625 \nL 3713 1100 \nL 3047 1100 \nL 3047 0 \nL 2419 0 \nL 2419 1100 \nL 313 1100 \nL 313 1709 \nL 2253 4666 \nz\n\" id=\"DejaVuSans-34\" transform=\"scale(0.015625)\"/>\n </defs>\n <use xlink:href=\"#DejaVuSans-2212\"/>\n <use x=\"83.789062\" xlink:href=\"#DejaVuSans-34\"/>\n </g>\n </g>\n </g>\n <g id=\"xtick_2\">\n <g id=\"line2d_2\">\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"148.514171\" xlink:href=\"#m0b3a705740\" y=\"252.916562\"/>\n </g>\n </g>\n <g id=\"text_2\">\n <!-- 2 -->\n <g transform=\"translate(141.143077 267.515)scale(0.1 -0.1)\">\n <defs>\n <path d=\"M 1228 531 \nL 3431 531 \nL 3431 0 \nL 469 0 \nL 469 531 \nQ 828 903 1448 1529 \nQ 2069 2156 2228 2338 \nQ 2531 2678 2651 2914 \nQ 2772 3150 2772 3378 \nQ 2772 3750 2511 3984 \nQ 2250 4219 1831 4219 \nQ 1534 4219 1204 4116 \nQ 875 4013 500 3803 \nL 500 4441 \nQ 881 4594 1212 4672 \nQ 1544 4750 1819 4750 \nQ 2544 4750 2975 4387 \nQ 3406 4025 3406 3419 \nQ 3406 3131 3298 2873 \nQ 3191 2616 2906 2266 \nQ 2828 2175 2409 1742 \nQ 1991 1309 1228 531 \nz\n\" id=\"DejaVuSans-32\" transform=\"scale(0.015625)\"/>\n </defs>\n <use xlink:href=\"#DejaVuSans-2212\"/>\n <use x=\"83.789062\" xlink:href=\"#DejaVuSans-32\"/>\n </g>\n </g>\n </g>\n <g id=\"xtick_3\">\n <g id=\"line2d_3\">\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"219.560938\" xlink:href=\"#m0b3a705740\" y=\"252.916562\"/>\n </g>\n </g>\n <g id=\"text_3\">\n <!-- 0 -->\n <g transform=\"translate(216.379688 267.515)scale(0.1 -0.1)\">\n <defs>\n <path d=\"M 2034 4250 \nQ 1547 4250 1301 3770 \nQ 1056 3291 1056 2328 \nQ 1056 1369 1301 889 \nQ 1547 409 2034 409 \nQ 2525 409 2770 889 \nQ 3016 1369 3016 2328 \nQ 3016 3291 2770 3770 \nQ 2525 4250 2034 4250 \nz\nM 2034 4750 \nQ 2819 4750 3233 4129 \nQ 3647 3509 3647 2328 \nQ 3647 1150 3233 529 \nQ 2819 -91 2034 -91 \nQ 1250 -91 836 529 \nQ 422 1150 422 2328 \nQ 422 3509 836 4129 \nQ 1250 4750 2034 4750 \nz\n\" id=\"DejaVuSans-30\" transform=\"scale(0.015625)\"/>\n </defs>\n <use xlink:href=\"#DejaVuSans-30\"/>\n </g>\n </g>\n </g>\n <g id=\"xtick_4\">\n <g id=\"line2d_4\">\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"290.607704\" xlink:href=\"#m0b3a705740\" y=\"252.916562\"/>\n </g>\n </g>\n <g id=\"text_4\">\n <!-- 2 -->\n <g transform=\"translate(287.426454 267.515)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-32\"/>\n </g>\n </g>\n </g>\n <g id=\"xtick_5\">\n <g id=\"line2d_5\">\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"361.654471\" xlink:href=\"#m0b3a705740\" y=\"252.916562\"/>\n </g>\n </g>\n <g id=\"text_5\">\n <!-- 4 -->\n <g transform=\"translate(358.473221 267.515)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-34\"/>\n </g>\n </g>\n </g>\n <g id=\"text_6\">\n <!-- Pan (rad) -->\n <g transform=\"translate(196.753906 281.193125)scale(0.1 -0.1)\">\n <defs>\n <path d=\"M 1259 4147 \nL 1259 2394 \nL 2053 2394 \nQ 2494 2394 2734 2622 \nQ 2975 2850 2975 3272 \nQ 2975 3691 2734 3919 \nQ 2494 4147 2053 4147 \nL 1259 4147 \nz\nM 628 4666 \nL 2053 4666 \nQ 2838 4666 3239 4311 \nQ 3641 3956 3641 3272 \nQ 3641 2581 3239 2228 \nQ 2838 1875 2053 1875 \nL 1259 1875 \nL 1259 0 \nL 628 0 \nL 628 4666 \nz\n\" id=\"DejaVuSans-50\" transform=\"scale(0.015625)\"/>\n <path d=\"M 2194 1759 \nQ 1497 1759 1228 1600 \nQ 959 1441 959 1056 \nQ 959 750 1161 570 \nQ 1363 391 1709 391 \nQ 2188 391 2477 730 \nQ 2766 1069 2766 1631 \nL 2766 1759 \nL 2194 1759 \nz\nM 3341 1997 \nL 3341 0 \nL 2766 0 \nL 2766 531 \nQ 2569 213 2275 61 \nQ 1981 -91 1556 -91 \nQ 1019 -91 701 211 \nQ 384 513 384 1019 \nQ 384 1609 779 1909 \nQ 1175 2209 1959 2209 \nL 2766 2209 \nL 2766 2266 \nQ 2766 2663 2505 2880 \nQ 2244 3097 1772 3097 \nQ 1472 3097 1187 3025 \nQ 903 2953 641 2809 \nL 641 3341 \nQ 956 3463 1253 3523 \nQ 1550 3584 1831 3584 \nQ 2591 3584 2966 3190 \nQ 3341 2797 3341 1997 \nz\n\" id=\"DejaVuSans-61\" transform=\"scale(0.015625)\"/>\n <path d=\"M 3513 2113 \nL 3513 0 \nL 2938 0 \nL 2938 2094 \nQ 2938 2591 2744 2837 \nQ 2550 3084 2163 3084 \nQ 1697 3084 1428 2787 \nQ 1159 2491 1159 1978 \nL 1159 0 \nL 581 0 \nL 581 3500 \nL 1159 3500 \nL 1159 2956 \nQ 1366 3272 1645 3428 \nQ 1925 3584 2291 3584 \nQ 2894 3584 3203 3211 \nQ 3513 2838 3513 2113 \nz\n\" id=\"DejaVuSans-6e\" transform=\"scale(0.015625)\"/>\n <path id=\"DejaVuSans-20\" transform=\"scale(0.015625)\"/>\n <path d=\"M 1984 4856 \nQ 1566 4138 1362 3434 \nQ 1159 2731 1159 2009 \nQ 1159 1288 1364 580 \nQ 1569 -128 1984 -844 \nL 1484 -844 \nQ 1016 -109 783 600 \nQ 550 1309 550 2009 \nQ 550 2706 781 3412 \nQ 1013 4119 1484 4856 \nL 1984 4856 \nz\n\" id=\"DejaVuSans-28\" transform=\"scale(0.015625)\"/>\n <path d=\"M 2631 2963 \nQ 2534 3019 2420 3045 \nQ 2306 3072 2169 3072 \nQ 1681 3072 1420 2755 \nQ 1159 2438 1159 1844 \nL 1159 0 \nL 581 0 \nL 581 3500 \nL 1159 3500 \nL 1159 2956 \nQ 1341 3275 1631 3429 \nQ 1922 3584 2338 3584 \nQ 2397 3584 2469 3576 \nQ 2541 3569 2628 3553 \nL 2631 2963 \nz\n\" id=\"DejaVuSans-72\" transform=\"scale(0.015625)\"/>\n <path d=\"M 2906 2969 \nL 2906 4863 \nL 3481 4863 \nL 3481 0 \nL 2906 0 \nL 2906 525 \nQ 2725 213 2448 61 \nQ 2172 -91 1784 -91 \nQ 1150 -91 751 415 \nQ 353 922 353 1747 \nQ 353 2572 751 3078 \nQ 1150 3584 1784 3584 \nQ 2172 3584 2448 3432 \nQ 2725 3281 2906 2969 \nz\nM 947 1747 \nQ 947 1113 1208 752 \nQ 1469 391 1925 391 \nQ 2381 391 2643 752 \nQ 2906 1113 2906 1747 \nQ 2906 2381 2643 2742 \nQ 2381 3103 1925 3103 \nQ 1469 3103 1208 2742 \nQ 947 2381 947 1747 \nz\n\" id=\"DejaVuSans-64\" transform=\"scale(0.015625)\"/>\n <path d=\"M 513 4856 \nL 1013 4856 \nQ 1481 4119 1714 3412 \nQ 1947 2706 1947 2009 \nQ 1947 1309 1714 600 \nQ 1481 -109 1013 -844 \nL 513 -844 \nQ 928 -128 1133 580 \nQ 1338 1288 1338 2009 \nQ 1338 2731 1133 3434 \nQ 928 4138 513 4856 \nz\n\" id=\"DejaVuSans-29\" transform=\"scale(0.015625)\"/>\n </defs>\n <use xlink:href=\"#DejaVuSans-50\"/>\n <use x=\"55.802734\" xlink:href=\"#DejaVuSans-61\"/>\n <use x=\"117.082031\" xlink:href=\"#DejaVuSans-6e\"/>\n <use x=\"180.460938\" xlink:href=\"#DejaVuSans-20\"/>\n <use x=\"212.248047\" xlink:href=\"#DejaVuSans-28\"/>\n <use x=\"251.261719\" xlink:href=\"#DejaVuSans-72\"/>\n <use x=\"292.375\" xlink:href=\"#DejaVuSans-61\"/>\n <use x=\"353.654297\" xlink:href=\"#DejaVuSans-64\"/>\n <use x=\"417.130859\" xlink:href=\"#DejaVuSans-29\"/>\n </g>\n </g>\n </g>\n <g id=\"matplotlib.axis_2\">\n <g id=\"ytick_1\">\n <g id=\"line2d_6\">\n <defs>\n <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"m3d57fa84bd\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n </defs>\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"52.160938\" xlink:href=\"#m3d57fa84bd\" y=\"248.016515\"/>\n </g>\n </g>\n <g id=\"text_7\">\n <!-- 1.5 -->\n <g transform=\"translate(20.878125 251.815734)scale(0.1 -0.1)\">\n <defs>\n <path d=\"M 794 531 \nL 1825 531 \nL 1825 4091 \nL 703 3866 \nL 703 4441 \nL 1819 4666 \nL 2450 4666 \nL 2450 531 \nL 3481 531 \nL 3481 0 \nL 794 0 \nL 794 531 \nz\n\" id=\"DejaVuSans-31\" transform=\"scale(0.015625)\"/>\n <path d=\"M 684 794 \nL 1344 794 \nL 1344 0 \nL 684 0 \nL 684 794 \nz\n\" id=\"DejaVuSans-2e\" transform=\"scale(0.015625)\"/>\n <path d=\"M 691 4666 \nL 3169 4666 \nL 3169 4134 \nL 1269 4134 \nL 1269 2991 \nQ 1406 3038 1543 3061 \nQ 1681 3084 1819 3084 \nQ 2600 3084 3056 2656 \nQ 3513 2228 3513 1497 \nQ 3513 744 3044 326 \nQ 2575 -91 1722 -91 \nQ 1428 -91 1123 -41 \nQ 819 9 494 109 \nL 494 744 \nQ 775 591 1075 516 \nQ 1375 441 1709 441 \nQ 2250 441 2565 725 \nQ 2881 1009 2881 1497 \nQ 2881 1984 2565 2268 \nQ 2250 2553 1709 2553 \nQ 1456 2553 1204 2497 \nQ 953 2441 691 2322 \nL 691 4666 \nz\n\" id=\"DejaVuSans-35\" transform=\"scale(0.015625)\"/>\n </defs>\n <use xlink:href=\"#DejaVuSans-2212\"/>\n <use x=\"83.789062\" xlink:href=\"#DejaVuSans-31\"/>\n <use x=\"147.412109\" xlink:href=\"#DejaVuSans-2e\"/>\n <use x=\"179.199219\" xlink:href=\"#DejaVuSans-35\"/>\n </g>\n </g>\n </g>\n <g id=\"ytick_2\">\n <g id=\"line2d_7\">\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"52.160938\" xlink:href=\"#m3d57fa84bd\" y=\"213.409864\"/>\n </g>\n </g>\n <g id=\"text_8\">\n <!-- 1.0 -->\n <g transform=\"translate(20.878125 217.209083)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-2212\"/>\n <use x=\"83.789062\" xlink:href=\"#DejaVuSans-31\"/>\n <use x=\"147.412109\" xlink:href=\"#DejaVuSans-2e\"/>\n <use x=\"179.199219\" xlink:href=\"#DejaVuSans-30\"/>\n </g>\n </g>\n </g>\n <g id=\"ytick_3\">\n <g id=\"line2d_8\">\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"52.160938\" xlink:href=\"#m3d57fa84bd\" y=\"178.803213\"/>\n </g>\n </g>\n <g id=\"text_9\">\n <!-- 0.5 -->\n <g transform=\"translate(20.878125 182.602432)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-2212\"/>\n <use x=\"83.789062\" xlink:href=\"#DejaVuSans-30\"/>\n <use x=\"147.412109\" xlink:href=\"#DejaVuSans-2e\"/>\n <use x=\"179.199219\" xlink:href=\"#DejaVuSans-35\"/>\n </g>\n </g>\n </g>\n <g id=\"ytick_4\">\n <g id=\"line2d_9\">\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"52.160938\" xlink:href=\"#m3d57fa84bd\" y=\"144.196562\"/>\n </g>\n </g>\n <g id=\"text_10\">\n <!-- 0.0 -->\n <g transform=\"translate(29.257812 147.995781)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-30\"/>\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n <use x=\"95.410156\" xlink:href=\"#DejaVuSans-30\"/>\n </g>\n </g>\n </g>\n <g id=\"ytick_5\">\n <g id=\"line2d_10\">\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"52.160938\" xlink:href=\"#m3d57fa84bd\" y=\"109.589912\"/>\n </g>\n </g>\n <g id=\"text_11\">\n <!-- 0.5 -->\n <g transform=\"translate(29.257812 113.38913)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-30\"/>\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n <use x=\"95.410156\" xlink:href=\"#DejaVuSans-35\"/>\n </g>\n </g>\n </g>\n <g id=\"ytick_6\">\n <g id=\"line2d_11\">\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"52.160938\" xlink:href=\"#m3d57fa84bd\" y=\"74.983261\"/>\n </g>\n </g>\n <g id=\"text_12\">\n <!-- 1.0 -->\n <g transform=\"translate(29.257812 78.78248)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-31\"/>\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n <use x=\"95.410156\" xlink:href=\"#DejaVuSans-30\"/>\n </g>\n </g>\n </g>\n <g id=\"ytick_7\">\n <g id=\"line2d_12\">\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"52.160938\" xlink:href=\"#m3d57fa84bd\" y=\"40.37661\"/>\n </g>\n </g>\n <g id=\"text_13\">\n <!-- 1.5 -->\n <g transform=\"translate(29.257812 44.175829)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-31\"/>\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-2e\"/>\n <use x=\"95.410156\" xlink:href=\"#DejaVuSans-35\"/>\n </g>\n </g>\n </g>\n <g id=\"text_14\">\n <!-- Tilt (rad) -->\n <g transform=\"translate(14.798437 165.616875)rotate(-90)scale(0.1 -0.1)\">\n <defs>\n <path d=\"M -19 4666 \nL 3928 4666 \nL 3928 4134 \nL 2272 4134 \nL 2272 0 \nL 1638 0 \nL 1638 4134 \nL -19 4134 \nL -19 4666 \nz\n\" id=\"DejaVuSans-54\" transform=\"scale(0.015625)\"/>\n <path d=\"M 603 3500 \nL 1178 3500 \nL 1178 0 \nL 603 0 \nL 603 3500 \nz\nM 603 4863 \nL 1178 4863 \nL 1178 4134 \nL 603 4134 \nL 603 4863 \nz\n\" id=\"DejaVuSans-69\" transform=\"scale(0.015625)\"/>\n <path d=\"M 603 4863 \nL 1178 4863 \nL 1178 0 \nL 603 0 \nL 603 4863 \nz\n\" id=\"DejaVuSans-6c\" transform=\"scale(0.015625)\"/>\n <path d=\"M 1172 4494 \nL 1172 3500 \nL 2356 3500 \nL 2356 3053 \nL 1172 3053 \nL 1172 1153 \nQ 1172 725 1289 603 \nQ 1406 481 1766 481 \nL 2356 481 \nL 2356 0 \nL 1766 0 \nQ 1100 0 847 248 \nQ 594 497 594 1153 \nL 594 3053 \nL 172 3053 \nL 172 3500 \nL 594 3500 \nL 594 4494 \nL 1172 4494 \nz\n\" id=\"DejaVuSans-74\" transform=\"scale(0.015625)\"/>\n </defs>\n <use xlink:href=\"#DejaVuSans-54\"/>\n <use x=\"57.958984\" xlink:href=\"#DejaVuSans-69\"/>\n <use x=\"85.742188\" xlink:href=\"#DejaVuSans-6c\"/>\n <use x=\"113.525391\" xlink:href=\"#DejaVuSans-74\"/>\n <use x=\"152.734375\" xlink:href=\"#DejaVuSans-20\"/>\n <use x=\"184.521484\" xlink:href=\"#DejaVuSans-28\"/>\n <use x=\"223.535156\" xlink:href=\"#DejaVuSans-72\"/>\n <use x=\"264.648438\" xlink:href=\"#DejaVuSans-61\"/>\n <use x=\"325.927734\" xlink:href=\"#DejaVuSans-64\"/>\n <use x=\"389.404297\" xlink:href=\"#DejaVuSans-29\"/>\n </g>\n </g>\n </g>\n <g id=\"line2d_13\">\n <path clip-path=\"url(#p181b6559be)\" d=\"M 77.467404 74.983261 \nL 77.467404 213.409864 \nL 148.514171 213.409864 \nL 148.514171 74.983261 \n\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\n </g>\n <g id=\"patch_3\">\n <path d=\"M 52.160938 252.916562 \nL 52.160938 35.476562 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n </g>\n <g id=\"patch_4\">\n <path d=\"M 386.960938 252.916562 \nL 386.960938 35.476562 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n </g>\n <g id=\"patch_5\">\n <path d=\"M 52.160938 252.916562 \nL 386.960938 252.916562 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n </g>\n <g id=\"patch_6\">\n <path d=\"M 52.160938 35.476562 \nL 386.960938 35.476562 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n </g>\n </g>\n <g id=\"axes_2\">\n <g id=\"matplotlib.axis_3\">\n <g id=\"xtick_6\">\n <g id=\"line2d_14\">\n <defs>\n <path d=\"M 0 0 \nL 0 -3.5 \n\" id=\"m759ad1f8fc\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n </defs>\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"52.160938\" xlink:href=\"#m759ad1f8fc\" y=\"35.476562\"/>\n </g>\n </g>\n <g id=\"text_15\">\n <!-- 0 -->\n <g transform=\"translate(48.979688 26.396875)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-30\"/>\n </g>\n </g>\n </g>\n <g id=\"xtick_7\">\n <g id=\"line2d_15\">\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"117.807996\" xlink:href=\"#m759ad1f8fc\" y=\"35.476562\"/>\n </g>\n </g>\n <g id=\"text_16\">\n <!-- 50 -->\n <g transform=\"translate(111.445496 26.396875)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-35\"/>\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n </g>\n </g>\n </g>\n <g id=\"xtick_8\">\n <g id=\"line2d_16\">\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"183.455055\" xlink:href=\"#m759ad1f8fc\" y=\"35.476562\"/>\n </g>\n </g>\n <g id=\"text_17\">\n <!-- 100 -->\n <g transform=\"translate(173.911305 26.396875)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-31\"/>\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n </g>\n </g>\n </g>\n <g id=\"xtick_9\">\n <g id=\"line2d_17\">\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"249.102114\" xlink:href=\"#m759ad1f8fc\" y=\"35.476562\"/>\n </g>\n </g>\n <g id=\"text_18\">\n <!-- 150 -->\n <g transform=\"translate(239.558364 26.396875)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-31\"/>\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-35\"/>\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n </g>\n </g>\n </g>\n <g id=\"xtick_10\">\n <g id=\"line2d_18\">\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"314.749173\" xlink:href=\"#m759ad1f8fc\" y=\"35.476562\"/>\n </g>\n </g>\n <g id=\"text_19\">\n <!-- 200 -->\n <g transform=\"translate(305.205423 26.396875)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-32\"/>\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n </g>\n </g>\n </g>\n <g id=\"xtick_11\">\n <g id=\"line2d_19\">\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"380.396232\" xlink:href=\"#m759ad1f8fc\" y=\"35.476562\"/>\n </g>\n </g>\n <g id=\"text_20\">\n <!-- 250 -->\n <g transform=\"translate(370.852482 26.396875)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-32\"/>\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-35\"/>\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n </g>\n </g>\n </g>\n <g id=\"text_21\">\n <!-- Pan (DMX) -->\n <g transform=\"translate(193.458594 14.798437)scale(0.1 -0.1)\">\n <defs>\n <path d=\"M 1259 4147 \nL 1259 519 \nL 2022 519 \nQ 2988 519 3436 956 \nQ 3884 1394 3884 2338 \nQ 3884 3275 3436 3711 \nQ 2988 4147 2022 4147 \nL 1259 4147 \nz\nM 628 4666 \nL 1925 4666 \nQ 3281 4666 3915 4102 \nQ 4550 3538 4550 2338 \nQ 4550 1131 3912 565 \nQ 3275 0 1925 0 \nL 628 0 \nL 628 4666 \nz\n\" id=\"DejaVuSans-44\" transform=\"scale(0.015625)\"/>\n <path d=\"M 628 4666 \nL 1569 4666 \nL 2759 1491 \nL 3956 4666 \nL 4897 4666 \nL 4897 0 \nL 4281 0 \nL 4281 4097 \nL 3078 897 \nL 2444 897 \nL 1241 4097 \nL 1241 0 \nL 628 0 \nL 628 4666 \nz\n\" id=\"DejaVuSans-4d\" transform=\"scale(0.015625)\"/>\n <path d=\"M 403 4666 \nL 1081 4666 \nL 2241 2931 \nL 3406 4666 \nL 4084 4666 \nL 2584 2425 \nL 4184 0 \nL 3506 0 \nL 2194 1984 \nL 872 0 \nL 191 0 \nL 1856 2491 \nL 403 4666 \nz\n\" id=\"DejaVuSans-58\" transform=\"scale(0.015625)\"/>\n </defs>\n <use xlink:href=\"#DejaVuSans-50\"/>\n <use x=\"55.802734\" xlink:href=\"#DejaVuSans-61\"/>\n <use x=\"117.082031\" xlink:href=\"#DejaVuSans-6e\"/>\n <use x=\"180.460938\" xlink:href=\"#DejaVuSans-20\"/>\n <use x=\"212.248047\" xlink:href=\"#DejaVuSans-28\"/>\n <use x=\"251.261719\" xlink:href=\"#DejaVuSans-44\"/>\n <use x=\"328.263672\" xlink:href=\"#DejaVuSans-4d\"/>\n <use x=\"414.542969\" xlink:href=\"#DejaVuSans-58\"/>\n <use x=\"483.048828\" xlink:href=\"#DejaVuSans-29\"/>\n </g>\n </g>\n </g>\n <g id=\"patch_7\">\n <path d=\"M 52.160938 252.916562 \nL 52.160938 35.476562 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n </g>\n <g id=\"patch_8\">\n <path d=\"M 386.960938 252.916562 \nL 386.960938 35.476562 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n </g>\n <g id=\"patch_9\">\n <path d=\"M 52.160938 252.916562 \nL 386.960938 252.916562 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n </g>\n <g id=\"patch_10\">\n <path d=\"M 52.160938 35.476562 \nL 386.960938 35.476562 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n </g>\n </g>\n <g id=\"axes_3\">\n <g id=\"matplotlib.axis_4\">\n <g id=\"ytick_8\">\n <g id=\"line2d_20\">\n <defs>\n <path d=\"M 0 0 \nL 3.5 0 \n\" id=\"m71de808ac4\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n </defs>\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"386.960938\" xlink:href=\"#m71de808ac4\" y=\"252.916562\"/>\n </g>\n </g>\n <g id=\"text_22\">\n <!-- 0 -->\n <g transform=\"translate(393.960938 256.715781)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-30\"/>\n </g>\n </g>\n </g>\n <g id=\"ytick_9\">\n <g id=\"line2d_21\">\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"386.960938\" xlink:href=\"#m71de808ac4\" y=\"210.281268\"/>\n </g>\n </g>\n <g id=\"text_23\">\n <!-- 50 -->\n <g transform=\"translate(393.960938 214.080487)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-35\"/>\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n </g>\n </g>\n </g>\n <g id=\"ytick_10\">\n <g id=\"line2d_22\">\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"386.960938\" xlink:href=\"#m71de808ac4\" y=\"167.645974\"/>\n </g>\n </g>\n <g id=\"text_24\">\n <!-- 100 -->\n <g transform=\"translate(393.960938 171.445193)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-31\"/>\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n </g>\n </g>\n </g>\n <g id=\"ytick_11\">\n <g id=\"line2d_23\">\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"386.960938\" xlink:href=\"#m71de808ac4\" y=\"125.01068\"/>\n </g>\n </g>\n <g id=\"text_25\">\n <!-- 150 -->\n <g transform=\"translate(393.960938 128.809899)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-31\"/>\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-35\"/>\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n </g>\n </g>\n </g>\n <g id=\"ytick_12\">\n <g id=\"line2d_24\">\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"386.960938\" xlink:href=\"#m71de808ac4\" y=\"82.375386\"/>\n </g>\n </g>\n <g id=\"text_26\">\n <!-- 200 -->\n <g transform=\"translate(393.960938 86.174605)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-32\"/>\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-30\"/>\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n </g>\n </g>\n </g>\n <g id=\"ytick_13\">\n <g id=\"line2d_25\">\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"386.960938\" xlink:href=\"#m71de808ac4\" y=\"39.740092\"/>\n </g>\n </g>\n <g id=\"text_27\">\n <!-- 250 -->\n <g transform=\"translate(393.960938 43.539311)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-32\"/>\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-35\"/>\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-30\"/>\n </g>\n </g>\n </g>\n <g id=\"text_28\">\n <!-- Tilt (DMX) -->\n <g transform=\"translate(424.646875 168.912187)rotate(-90)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-54\"/>\n <use x=\"57.958984\" xlink:href=\"#DejaVuSans-69\"/>\n <use x=\"85.742188\" xlink:href=\"#DejaVuSans-6c\"/>\n <use x=\"113.525391\" xlink:href=\"#DejaVuSans-74\"/>\n <use x=\"152.734375\" xlink:href=\"#DejaVuSans-20\"/>\n <use x=\"184.521484\" xlink:href=\"#DejaVuSans-28\"/>\n <use x=\"223.535156\" xlink:href=\"#DejaVuSans-44\"/>\n <use x=\"300.537109\" xlink:href=\"#DejaVuSans-4d\"/>\n <use x=\"386.816406\" xlink:href=\"#DejaVuSans-58\"/>\n <use x=\"455.322266\" xlink:href=\"#DejaVuSans-29\"/>\n </g>\n </g>\n </g>\n <g id=\"patch_11\">\n <path d=\"M 52.160938 252.916562 \nL 52.160938 35.476562 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n </g>\n <g id=\"patch_12\">\n <path d=\"M 386.960938 252.916562 \nL 386.960938 35.476562 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n </g>\n <g id=\"patch_13\">\n <path d=\"M 52.160938 252.916562 \nL 386.960938 252.916562 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n </g>\n <g id=\"patch_14\">\n <path d=\"M 52.160938 35.476562 \nL 386.960938 35.476562 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n </g>\n </g>\n </g>\n <defs>\n <clipPath id=\"p181b6559be\">\n <rect height=\"217.44\" width=\"334.8\" x=\"52.160938\" y=\"35.476562\"/>\n </clipPath>\n </defs>\n</svg>\n",
"text/plain": [
"<Figure size 432x288 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"import matplotlib as mpl\n",
"import matplotlib.pyplot as plt\n",
"\n",
"fig, ax = plt.subplots()\n",
"\n",
"ax.set_xlim((-3/2 * np.pi, 3/2 * np.pi))\n",
"ax.set_xlabel(\"Pan (rad)\")\n",
"pan_dmx = ax.twiny()\n",
"pan_dmx.set_xlim((0, 255))\n",
"pan_dmx.set_xlabel(\"Pan (DMX)\")\n",
"\n",
"ax.set_ylim((-1/2 * np.pi, 1/2 * np.pi))\n",
"ax.set_ylabel(\"Tilt (rad)\")\n",
"tilt_dmx = ax.twinx()\n",
"tilt_dmx.set_ylim((0, 255))\n",
"tilt_dmx.set_ylabel(\"Tilt (DMX)\")\n",
"\n",
"\n",
"ax.plot([-4, -4, -2, -2], [1,-1,-1,1])"
]
}
],
"metadata": {
"interpreter": {
"hash": "8949cd447f4051406d72dfa55357e47dbefb618694e663c2df1a04d5092ff1c9"
},
"kernelspec": {
"display_name": "Python 3.9.5 64-bit ('venv': venv)",
"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": "3.9.5"
}
},
"nbformat": 4,
"nbformat_minor": 2
}