pendulum_gold.h 38 KB

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  1. #ifndef PENDULUM_GOLD_H
  2. #define PENDULUM_GOLD_H
  3. #include "LinearMath/btScalar.h"
  4. /*
  5. sPendulumGold data was created using the Python script,
  6. thanks to Andreas Bihlmaier for the script.
  7. #!/usr/bin/env python
  8. from __future__ import print_function
  9. import numpy as np
  10. from scipy import integrate
  11. import pylab as pl
  12. import math
  13. import argparse
  14. theta_pos = 0
  15. dtheta_pos = 1
  16. def pendulum_system(Y, t):
  17. m = 10 # [kg]
  18. g = 9.81 # [m/s^2]
  19. l = 0.5 # [m]
  20. tau = 20 # [Nm]
  21. I = m * pow(l, 2) # inertia
  22. return [Y[dtheta_pos], (tau - m*g*l*math.sin(Y[theta_pos])) / I]
  23. def main():
  24. parser = argparse.ArgumentParser()
  25. parser.add_argument('--plot', action='store_true', default=False, help='Plot results')
  26. args = parser.parse_args()
  27. t = np.arange(0, 2, 0.001) # [s]
  28. theta0 = 0
  29. dtheta0 = 0
  30. theta = integrate.odeint(pendulum_system, [theta0, dtheta0], t) # [rad]
  31. print("timestamp;theta;")
  32. for i in range(theta.shape[0]):
  33. print("%f;%f;" % (t[i], theta[i,theta_pos]))
  34. if args.plot:
  35. pl.plot(t, theta[:,theta_pos], '+')
  36. pl.show()
  37. if __name__ == '__main__':
  38. main()
  39. */
  40. //sPendulumGold stores scalar values of a simulated pendulum in tuples 'timestamp' and 'theta joint angle'
  41. static btScalar sPendulumGold[]=
  42. {
  43. 0.000000,0.000000,
  44. 0.001000,0.000004,
  45. 0.002000,0.000016,
  46. 0.003000,0.000036,
  47. 0.004000,0.000064,
  48. 0.005000,0.000100,
  49. 0.006000,0.000144,
  50. 0.007000,0.000196,
  51. 0.008000,0.000256,
  52. 0.009000,0.000324,
  53. 0.010000,0.000400,
  54. 0.011000,0.000484,
  55. 0.012000,0.000576,
  56. 0.013000,0.000676,
  57. 0.014000,0.000784,
  58. 0.015000,0.000900,
  59. 0.016000,0.001024,
  60. 0.017000,0.001155,
  61. 0.018000,0.001295,
  62. 0.019000,0.001443,
  63. 0.020000,0.001599,
  64. 0.021000,0.001763,
  65. 0.022000,0.001934,
  66. 0.023000,0.002114,
  67. 0.024000,0.002302,
  68. 0.025000,0.002497,
  69. 0.026000,0.002701,
  70. 0.027000,0.002913,
  71. 0.028000,0.003132,
  72. 0.029000,0.003359,
  73. 0.030000,0.003595,
  74. 0.031000,0.003838,
  75. 0.032000,0.004089,
  76. 0.033000,0.004348,
  77. 0.034000,0.004615,
  78. 0.035000,0.004890,
  79. 0.036000,0.005173,
  80. 0.037000,0.005464,
  81. 0.038000,0.005762,
  82. 0.039000,0.006069,
  83. 0.040000,0.006383,
  84. 0.041000,0.006706,
  85. 0.042000,0.007036,
  86. 0.043000,0.007374,
  87. 0.044000,0.007720,
  88. 0.045000,0.008073,
  89. 0.046000,0.008435,
  90. 0.047000,0.008804,
  91. 0.048000,0.009181,
  92. 0.049000,0.009566,
  93. 0.050000,0.009959,
  94. 0.051000,0.010360,
  95. 0.052000,0.010768,
  96. 0.053000,0.011184,
  97. 0.054000,0.011608,
  98. 0.055000,0.012040,
  99. 0.056000,0.012480,
  100. 0.057000,0.012927,
  101. 0.058000,0.013382,
  102. 0.059000,0.013845,
  103. 0.060000,0.014315,
  104. 0.061000,0.014794,
  105. 0.062000,0.015280,
  106. 0.063000,0.015773,
  107. 0.064000,0.016275,
  108. 0.065000,0.016784,
  109. 0.066000,0.017300,
  110. 0.067000,0.017825,
  111. 0.068000,0.018357,
  112. 0.069000,0.018896,
  113. 0.070000,0.019443,
  114. 0.071000,0.019998,
  115. 0.072000,0.020561,
  116. 0.073000,0.021131,
  117. 0.074000,0.021709,
  118. 0.075000,0.022294,
  119. 0.076000,0.022887,
  120. 0.077000,0.023487,
  121. 0.078000,0.024095,
  122. 0.079000,0.024710,
  123. 0.080000,0.025333,
  124. 0.081000,0.025964,
  125. 0.082000,0.026602,
  126. 0.083000,0.027247,
  127. 0.084000,0.027900,
  128. 0.085000,0.028560,
  129. 0.086000,0.029228,
  130. 0.087000,0.029903,
  131. 0.088000,0.030586,
  132. 0.089000,0.031276,
  133. 0.090000,0.031973,
  134. 0.091000,0.032678,
  135. 0.092000,0.033390,
  136. 0.093000,0.034110,
  137. 0.094000,0.034836,
  138. 0.095000,0.035570,
  139. 0.096000,0.036312,
  140. 0.097000,0.037061,
  141. 0.098000,0.037817,
  142. 0.099000,0.038580,
  143. 0.100000,0.039350,
  144. 0.101000,0.040128,
  145. 0.102000,0.040913,
  146. 0.103000,0.041705,
  147. 0.104000,0.042504,
  148. 0.105000,0.043311,
  149. 0.106000,0.044124,
  150. 0.107000,0.044945,
  151. 0.108000,0.045773,
  152. 0.109000,0.046608,
  153. 0.110000,0.047450,
  154. 0.111000,0.048299,
  155. 0.112000,0.049155,
  156. 0.113000,0.050019,
  157. 0.114000,0.050889,
  158. 0.115000,0.051766,
  159. 0.116000,0.052650,
  160. 0.117000,0.053542,
  161. 0.118000,0.054440,
  162. 0.119000,0.055345,
  163. 0.120000,0.056257,
  164. 0.121000,0.057176,
  165. 0.122000,0.058101,
  166. 0.123000,0.059034,
  167. 0.124000,0.059973,
  168. 0.125000,0.060920,
  169. 0.126000,0.061873,
  170. 0.127000,0.062833,
  171. 0.128000,0.063799,
  172. 0.129000,0.064773,
  173. 0.130000,0.065753,
  174. 0.131000,0.066740,
  175. 0.132000,0.067733,
  176. 0.133000,0.068734,
  177. 0.134000,0.069740,
  178. 0.135000,0.070754,
  179. 0.136000,0.071774,
  180. 0.137000,0.072801,
  181. 0.138000,0.073834,
  182. 0.139000,0.074874,
  183. 0.140000,0.075920,
  184. 0.141000,0.076973,
  185. 0.142000,0.078032,
  186. 0.143000,0.079098,
  187. 0.144000,0.080170,
  188. 0.145000,0.081249,
  189. 0.146000,0.082334,
  190. 0.147000,0.083426,
  191. 0.148000,0.084524,
  192. 0.149000,0.085628,
  193. 0.150000,0.086738,
  194. 0.151000,0.087855,
  195. 0.152000,0.088978,
  196. 0.153000,0.090108,
  197. 0.154000,0.091243,
  198. 0.155000,0.092385,
  199. 0.156000,0.093533,
  200. 0.157000,0.094687,
  201. 0.158000,0.095848,
  202. 0.159000,0.097014,
  203. 0.160000,0.098187,
  204. 0.161000,0.099365,
  205. 0.162000,0.100550,
  206. 0.163000,0.101741,
  207. 0.164000,0.102937,
  208. 0.165000,0.104140,
  209. 0.166000,0.105349,
  210. 0.167000,0.106563,
  211. 0.168000,0.107784,
  212. 0.169000,0.109010,
  213. 0.170000,0.110242,
  214. 0.171000,0.111480,
  215. 0.172000,0.112724,
  216. 0.173000,0.113974,
  217. 0.174000,0.115230,
  218. 0.175000,0.116491,
  219. 0.176000,0.117758,
  220. 0.177000,0.119030,
  221. 0.178000,0.120309,
  222. 0.179000,0.121593,
  223. 0.180000,0.122882,
  224. 0.181000,0.124177,
  225. 0.182000,0.125478,
  226. 0.183000,0.126784,
  227. 0.184000,0.128096,
  228. 0.185000,0.129413,
  229. 0.186000,0.130736,
  230. 0.187000,0.132064,
  231. 0.188000,0.133398,
  232. 0.189000,0.134737,
  233. 0.190000,0.136081,
  234. 0.191000,0.137431,
  235. 0.192000,0.138786,
  236. 0.193000,0.140146,
  237. 0.194000,0.141512,
  238. 0.195000,0.142883,
  239. 0.196000,0.144259,
  240. 0.197000,0.145640,
  241. 0.198000,0.147026,
  242. 0.199000,0.148418,
  243. 0.200000,0.149814,
  244. 0.201000,0.151216,
  245. 0.202000,0.152623,
  246. 0.203000,0.154034,
  247. 0.204000,0.155451,
  248. 0.205000,0.156873,
  249. 0.206000,0.158299,
  250. 0.207000,0.159731,
  251. 0.208000,0.161167,
  252. 0.209000,0.162608,
  253. 0.210000,0.164054,
  254. 0.211000,0.165505,
  255. 0.212000,0.166961,
  256. 0.213000,0.168421,
  257. 0.214000,0.169886,
  258. 0.215000,0.171356,
  259. 0.216000,0.172830,
  260. 0.217000,0.174309,
  261. 0.218000,0.175793,
  262. 0.219000,0.177281,
  263. 0.220000,0.178774,
  264. 0.221000,0.180271,
  265. 0.222000,0.181773,
  266. 0.223000,0.183279,
  267. 0.224000,0.184790,
  268. 0.225000,0.186305,
  269. 0.226000,0.187824,
  270. 0.227000,0.189348,
  271. 0.228000,0.190876,
  272. 0.229000,0.192408,
  273. 0.230000,0.193945,
  274. 0.231000,0.195485,
  275. 0.232000,0.197030,
  276. 0.233000,0.198579,
  277. 0.234000,0.200133,
  278. 0.235000,0.201690,
  279. 0.236000,0.203251,
  280. 0.237000,0.204817,
  281. 0.238000,0.206386,
  282. 0.239000,0.207960,
  283. 0.240000,0.209537,
  284. 0.241000,0.211118,
  285. 0.242000,0.212703,
  286. 0.243000,0.214293,
  287. 0.244000,0.215885,
  288. 0.245000,0.217482,
  289. 0.246000,0.219082,
  290. 0.247000,0.220687,
  291. 0.248000,0.222295,
  292. 0.249000,0.223906,
  293. 0.250000,0.225521,
  294. 0.251000,0.227140,
  295. 0.252000,0.228762,
  296. 0.253000,0.230388,
  297. 0.254000,0.232018,
  298. 0.255000,0.233651,
  299. 0.256000,0.235287,
  300. 0.257000,0.236927,
  301. 0.258000,0.238570,
  302. 0.259000,0.240217,
  303. 0.260000,0.241867,
  304. 0.261000,0.243520,
  305. 0.262000,0.245176,
  306. 0.263000,0.246836,
  307. 0.264000,0.248499,
  308. 0.265000,0.250165,
  309. 0.266000,0.251834,
  310. 0.267000,0.253507,
  311. 0.268000,0.255182,
  312. 0.269000,0.256861,
  313. 0.270000,0.258542,
  314. 0.271000,0.260227,
  315. 0.272000,0.261914,
  316. 0.273000,0.263604,
  317. 0.274000,0.265298,
  318. 0.275000,0.266994,
  319. 0.276000,0.268693,
  320. 0.277000,0.270394,
  321. 0.278000,0.272099,
  322. 0.279000,0.273806,
  323. 0.280000,0.275516,
  324. 0.281000,0.277229,
  325. 0.282000,0.278944,
  326. 0.283000,0.280662,
  327. 0.284000,0.282382,
  328. 0.285000,0.284105,
  329. 0.286000,0.285830,
  330. 0.287000,0.287558,
  331. 0.288000,0.289288,
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  1830. 1.787000,0.273096,
  1831. 1.788000,0.274805,
  1832. 1.789000,0.276516,
  1833. 1.790000,0.278230,
  1834. 1.791000,0.279947,
  1835. 1.792000,0.281666,
  1836. 1.793000,0.283388,
  1837. 1.794000,0.285112,
  1838. 1.795000,0.286839,
  1839. 1.796000,0.288568,
  1840. 1.797000,0.290300,
  1841. 1.798000,0.292034,
  1842. 1.799000,0.293771,
  1843. 1.800000,0.295509,
  1844. 1.801000,0.297250,
  1845. 1.802000,0.298994,
  1846. 1.803000,0.300739,
  1847. 1.804000,0.302487,
  1848. 1.805000,0.304237,
  1849. 1.806000,0.305989,
  1850. 1.807000,0.307743,
  1851. 1.808000,0.309499,
  1852. 1.809000,0.311257,
  1853. 1.810000,0.313017,
  1854. 1.811000,0.314779,
  1855. 1.812000,0.316543,
  1856. 1.813000,0.318309,
  1857. 1.814000,0.320077,
  1858. 1.815000,0.321847,
  1859. 1.816000,0.323618,
  1860. 1.817000,0.325391,
  1861. 1.818000,0.327166,
  1862. 1.819000,0.328943,
  1863. 1.820000,0.330721,
  1864. 1.821000,0.332501,
  1865. 1.822000,0.334282,
  1866. 1.823000,0.336065,
  1867. 1.824000,0.337850,
  1868. 1.825000,0.339636,
  1869. 1.826000,0.341423,
  1870. 1.827000,0.343212,
  1871. 1.828000,0.345003,
  1872. 1.829000,0.346794,
  1873. 1.830000,0.348587,
  1874. 1.831000,0.350382,
  1875. 1.832000,0.352177,
  1876. 1.833000,0.353974,
  1877. 1.834000,0.355772,
  1878. 1.835000,0.357572,
  1879. 1.836000,0.359372,
  1880. 1.837000,0.361173,
  1881. 1.838000,0.362976,
  1882. 1.839000,0.364779,
  1883. 1.840000,0.366584,
  1884. 1.841000,0.368389,
  1885. 1.842000,0.370196,
  1886. 1.843000,0.372003,
  1887. 1.844000,0.373811,
  1888. 1.845000,0.375620,
  1889. 1.846000,0.377430,
  1890. 1.847000,0.379241,
  1891. 1.848000,0.381052,
  1892. 1.849000,0.382864,
  1893. 1.850000,0.384677,
  1894. 1.851000,0.386490,
  1895. 1.852000,0.388304,
  1896. 1.853000,0.390119,
  1897. 1.854000,0.391934,
  1898. 1.855000,0.393750,
  1899. 1.856000,0.395566,
  1900. 1.857000,0.397382,
  1901. 1.858000,0.399199,
  1902. 1.859000,0.401016,
  1903. 1.860000,0.402834,
  1904. 1.861000,0.404652,
  1905. 1.862000,0.406470,
  1906. 1.863000,0.408289,
  1907. 1.864000,0.410107,
  1908. 1.865000,0.411926,
  1909. 1.866000,0.413745,
  1910. 1.867000,0.415564,
  1911. 1.868000,0.417383,
  1912. 1.869000,0.419202,
  1913. 1.870000,0.421022,
  1914. 1.871000,0.422841,
  1915. 1.872000,0.424660,
  1916. 1.873000,0.426479,
  1917. 1.874000,0.428298,
  1918. 1.875000,0.430117,
  1919. 1.876000,0.431936,
  1920. 1.877000,0.433754,
  1921. 1.878000,0.435572,
  1922. 1.879000,0.437390,
  1923. 1.880000,0.439208,
  1924. 1.881000,0.441025,
  1925. 1.882000,0.442842,
  1926. 1.883000,0.444658,
  1927. 1.884000,0.446474,
  1928. 1.885000,0.448290,
  1929. 1.886000,0.450105,
  1930. 1.887000,0.451919,
  1931. 1.888000,0.453733,
  1932. 1.889000,0.455547,
  1933. 1.890000,0.457359,
  1934. 1.891000,0.459171,
  1935. 1.892000,0.460983,
  1936. 1.893000,0.462793,
  1937. 1.894000,0.464603,
  1938. 1.895000,0.466412,
  1939. 1.896000,0.468221,
  1940. 1.897000,0.470028,
  1941. 1.898000,0.471834,
  1942. 1.899000,0.473640,
  1943. 1.900000,0.475445,
  1944. 1.901000,0.477248,
  1945. 1.902000,0.479051,
  1946. 1.903000,0.480853,
  1947. 1.904000,0.482653,
  1948. 1.905000,0.484453,
  1949. 1.906000,0.486251,
  1950. 1.907000,0.488048,
  1951. 1.908000,0.489844,
  1952. 1.909000,0.491639,
  1953. 1.910000,0.493432,
  1954. 1.911000,0.495224,
  1955. 1.912000,0.497015,
  1956. 1.913000,0.498804,
  1957. 1.914000,0.500592,
  1958. 1.915000,0.502379,
  1959. 1.916000,0.504164,
  1960. 1.917000,0.505948,
  1961. 1.918000,0.507730,
  1962. 1.919000,0.509511,
  1963. 1.920000,0.511290,
  1964. 1.921000,0.513067,
  1965. 1.922000,0.514843,
  1966. 1.923000,0.516618,
  1967. 1.924000,0.518390,
  1968. 1.925000,0.520161,
  1969. 1.926000,0.521930,
  1970. 1.927000,0.523697,
  1971. 1.928000,0.525463,
  1972. 1.929000,0.527226,
  1973. 1.930000,0.528988,
  1974. 1.931000,0.530748,
  1975. 1.932000,0.532506,
  1976. 1.933000,0.534262,
  1977. 1.934000,0.536016,
  1978. 1.935000,0.537768,
  1979. 1.936000,0.539518,
  1980. 1.937000,0.541265,
  1981. 1.938000,0.543011,
  1982. 1.939000,0.544755,
  1983. 1.940000,0.546496,
  1984. 1.941000,0.548235,
  1985. 1.942000,0.549972,
  1986. 1.943000,0.551707,
  1987. 1.944000,0.553439,
  1988. 1.945000,0.555169,
  1989. 1.946000,0.556897,
  1990. 1.947000,0.558623,
  1991. 1.948000,0.560346,
  1992. 1.949000,0.562066,
  1993. 1.950000,0.563784,
  1994. 1.951000,0.565500,
  1995. 1.952000,0.567213,
  1996. 1.953000,0.568924,
  1997. 1.954000,0.570632,
  1998. 1.955000,0.572337,
  1999. 1.956000,0.574040,
  2000. 1.957000,0.575740,
  2001. 1.958000,0.577438,
  2002. 1.959000,0.579132,
  2003. 1.960000,0.580824,
  2004. 1.961000,0.582514,
  2005. 1.962000,0.584200,
  2006. 1.963000,0.585884,
  2007. 1.964000,0.587565,
  2008. 1.965000,0.589242,
  2009. 1.966000,0.590917,
  2010. 1.967000,0.592589,
  2011. 1.968000,0.594259,
  2012. 1.969000,0.595925,
  2013. 1.970000,0.597588,
  2014. 1.971000,0.599248,
  2015. 1.972000,0.600905,
  2016. 1.973000,0.602559,
  2017. 1.974000,0.604210,
  2018. 1.975000,0.605857,
  2019. 1.976000,0.607502,
  2020. 1.977000,0.609143,
  2021. 1.978000,0.610781,
  2022. 1.979000,0.612416,
  2023. 1.980000,0.614047,
  2024. 1.981000,0.615676,
  2025. 1.982000,0.617301,
  2026. 1.983000,0.618922,
  2027. 1.984000,0.620540,
  2028. 1.985000,0.622155,
  2029. 1.986000,0.623766,
  2030. 1.987000,0.625374,
  2031. 1.988000,0.626979,
  2032. 1.989000,0.628579,
  2033. 1.990000,0.630177,
  2034. 1.991000,0.631770,
  2035. 1.992000,0.633361,
  2036. 1.993000,0.634947,
  2037. 1.994000,0.636530,
  2038. 1.995000,0.638109,
  2039. 1.996000,0.639685,
  2040. 1.997000,0.641257,
  2041. 1.998000,0.642825,
  2042. 1.999000,0.644389
  2043. };
  2044. #endif //PENDULUM_GOLD_H