asser1

Dependencies:   mbed asser1

math_precalc.cpp

Committer:
GuillaumeCH
Date:
2019-05-08
Revision:
4:deef042e9c02
Parent:
2:5764f89a27f6

File content as of revision 4:deef042e9c02:

#include "math_precalc.h"


const float t_cos_precalc[3143] = {1.000000, 1.000000, 0.999998, 0.999996, 0.999992, 0.999988, 0.999982, 0.999976, 0.999968, 0.999960, 0.999950, 0.999940, 0.999928, 0.999916, 0.999902, 0.999888, 0.999872, 0.999856, 0.999838, 0.999820, 0.999800, 0.999780, 0.999758, 0.999736, 0.999712, 0.999688, 0.999662, 0.999636, 0.999608, 0.999580, 0.999550, 0.999520, 0.999488, 0.999456, 0.999422, 0.999388, 0.999352, 0.999316, 0.999278, 0.999240, 0.999200, 0.999160, 0.999118, 0.999076, 0.999032, 0.998988, 0.998942, 0.998896, 0.998848, 0.998800, 0.998750, 0.998700, 0.998648, 0.998596, 0.998542, 0.998488, 0.998432, 0.998376, 0.998318, 0.998260, 0.998201, 0.998140, 0.998079, 0.998016, 0.997953, 0.997888, 0.997823, 0.997756, 0.997689, 0.997620, 0.997551, 0.997481, 0.997409, 0.997337, 0.997263, 0.997189, 0.997113, 0.997037, 0.996960, 0.996881, 0.996802, 0.996721, 0.996640, 0.996557, 0.996474, 0.996390, 0.996304, 0.996218, 0.996130, 0.996042, 0.995953, 0.995862, 0.995771, 0.995679, 0.995585, 0.995491, 0.995396, 0.995299, 0.995202, 0.995104, 0.995004, 0.994904, 0.994803, 0.994700, 0.994597, 0.994493, 0.994387, 0.994281, 0.994174, 0.994065, 0.993956, 0.993846, 0.993735, 0.993622, 0.993509, 0.993395, 0.993280, 0.993163, 0.993046, 0.992928, 0.992809, 0.992688, 0.992567, 0.992445, 0.992322, 0.992198, 0.992072, 0.991946, 0.991819, 0.991691, 0.991562, 0.991432, 0.991301, 0.991169, 0.991035, 0.990901, 0.990766, 0.990630, 0.990493, 0.990355, 0.990216, 0.990076, 0.989935, 0.989793, 0.989650, 0.989506, 0.989361, 0.989215, 0.989068, 0.988920, 0.988771, 0.988621, 0.988470, 0.988318, 0.988165, 0.988012, 0.987857, 0.987701, 0.987544, 0.987386, 0.987227, 0.987067, 0.986907, 0.986745, 0.986582, 0.986418, 0.986254, 0.986088, 0.985921, 0.985753, 0.985585, 0.985415, 0.985244, 0.985073, 0.984900, 0.984727, 0.984552, 0.984376, 0.984200, 0.984022, 0.983844, 0.983664, 0.983484, 0.983302, 0.983120, 0.982936, 0.982752, 0.982566, 0.982380, 0.982193, 0.982004, 0.981815, 0.981625, 0.981433, 0.981241, 0.981048, 0.980853, 0.980658, 0.980462, 0.980265, 0.980067, 0.979867, 0.979667, 0.979466, 0.979264, 0.979061, 0.978857, 0.978652, 0.978446, 0.978239, 0.978031, 0.977822, 0.977612, 0.977401, 0.977189, 0.976976, 0.976763, 0.976548, 0.976332, 0.976115, 0.975897, 0.975679, 0.975459, 0.975238, 0.975017, 0.974794, 0.974571, 0.974346, 0.974120, 0.973894, 0.973666, 0.973438, 0.973208, 0.972978, 0.972747, 0.972514, 0.972281, 0.972047, 0.971811, 0.971575, 0.971338, 0.971100, 0.970861, 0.970620, 0.970379, 0.970137, 0.969894, 0.969650, 0.969405, 0.969159, 0.968912, 0.968665, 0.968416, 0.968166, 0.967915, 0.967663, 0.967411, 0.967157, 0.966902, 0.966647, 0.966390, 0.966132, 0.965874, 0.965614, 0.965354, 0.965093, 0.964830, 0.964567, 0.964302, 0.964037, 0.963771, 0.963504, 0.963236, 0.962966, 0.962696, 0.962425, 0.962153, 0.961880, 0.961606, 0.961331, 0.961055, 0.960779, 0.960501, 0.960222, 0.959942, 0.959662, 0.959380, 0.959097, 0.958814, 0.958529, 0.958244, 0.957957, 0.957670, 0.957382, 0.957092, 0.956802, 0.956511, 0.956219, 0.955926, 0.955632, 0.955336, 0.955040, 0.954744, 0.954446, 0.954147, 0.953847, 0.953546, 0.953244, 0.952942, 0.952638, 0.952334, 0.952028, 0.951722, 0.951414, 0.951106, 0.950796, 0.950486, 0.950175, 0.949863, 0.949550, 0.949235, 0.948920, 0.948604, 0.948287, 0.947970, 0.947651, 0.947331, 0.947010, 0.946689, 0.946366, 0.946042, 0.945718, 0.945392, 0.945066, 0.944739, 0.944410, 0.944081, 0.943751, 0.943420, 0.943088, 0.942755, 0.942421, 0.942086, 0.941750, 0.941413, 0.941075, 0.940737, 0.940397, 0.940057, 0.939715, 0.939373, 0.939029, 0.938685, 0.938340, 0.937994, 0.937646, 0.937298, 0.936949, 0.936599, 0.936249, 0.935897, 0.935544, 0.935190, 0.934836, 0.934480, 0.934124, 0.933766, 0.933408, 0.933049, 0.932688, 0.932327, 0.931965, 0.931602, 0.931238, 0.930873, 0.930508, 0.930141, 0.929773, 0.929405, 0.929035, 0.928665, 0.928293, 0.927921, 0.927548, 0.927174, 0.926798, 0.926422, 0.926045, 0.925668, 0.925289, 0.924909, 0.924528, 0.924147, 0.923764, 0.923381, 0.922997, 0.922611, 0.922225, 0.921838, 0.921450, 0.921061, 0.920671, 0.920280, 0.919889, 0.919496, 0.919102, 0.918708, 0.918313, 0.917916, 0.917519, 0.917121, 0.916722, 0.916322, 0.915921, 0.915519, 0.915116, 0.914713, 0.914308, 0.913903, 0.913496, 0.913089, 0.912681, 0.912272, 0.911862, 0.911451, 0.911039, 0.910626, 0.910212, 0.909798, 0.909382, 0.908966, 0.908548, 0.908130, 0.907711, 0.907291, 0.906870, 0.906448, 0.906025, 0.905602, 0.905177, 0.904752, 0.904325, 0.903898, 0.903470, 0.903041, 0.902611, 0.902180, 0.901748, 0.901315, 0.900882, 0.900447, 0.900012, 0.899575, 0.899138, 0.898700, 0.898261, 0.897821, 0.897380, 0.896939, 0.896496, 0.896052, 0.895608, 0.895163, 0.894717, 0.894270, 0.893822, 0.893373, 0.892923, 0.892472, 0.892021, 0.891568, 0.891115, 0.890661, 0.890206, 0.889750, 0.889293, 0.888835, 0.888376, 0.887917, 0.887456, 0.886995, 0.886533, 0.886070, 0.885606, 0.885141, 0.884675, 0.884208, 0.883741, 0.883272, 0.882803, 0.882333, 0.881862, 0.881390, 0.880917, 0.880443, 0.879969, 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const float t_sin_precalc[3143] = {0.000000, 0.001000, 0.002000, 0.003000, 0.004000, 0.005000, 0.006000, 0.007000, 0.008000, 0.009000, 0.010000, 0.011000, 0.012000, 0.013000, 0.014000, 0.014999, 0.015999, 0.016999, 0.017999, 0.018999, 0.019999, 0.020998, 0.021998, 0.022998, 0.023998, 0.024997, 0.025997, 0.026997, 0.027996, 0.028996, 0.029996, 0.030995, 0.031995, 0.032994, 0.033993, 0.034993, 0.035992, 0.036992, 0.037991, 0.038990, 0.039989, 0.040989, 0.041988, 0.042987, 0.043986, 0.044985, 0.045984, 0.046983, 0.047982, 0.048980, 0.049979, 0.050978, 0.051977, 0.052975, 0.053974, 0.054972, 0.055971, 0.056969, 0.057967, 0.058966, 0.059964, 0.060962, 0.061960, 0.062958, 0.063956, 0.064954, 0.065952, 0.066950, 0.067948, 0.068945, 0.069943, 0.070940, 0.071938, 0.072935, 0.073932, 0.074930, 0.075927, 0.076924, 0.077921, 0.078918, 0.079915, 0.080911, 0.081908, 0.082905, 0.083901, 0.084898, 0.085894, 0.086890, 0.087886, 0.088883, 0.089879, 0.090874, 0.091870, 0.092866, 0.093862, 0.094857, 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0.243131, 0.242161, 0.241191, 0.240220, 0.239249, 0.238278, 0.237307, 0.236335, 0.235364, 0.234392, 0.233419, 0.232447, 0.231474, 0.230501, 0.229528, 0.228555, 0.227581, 0.226607, 0.225633, 0.224659, 0.223684, 0.222709, 0.221734, 0.220759, 0.219784, 0.218808, 0.217832, 0.216856, 0.215880, 0.214903, 0.213926, 0.212949, 0.211972, 0.210995, 0.210017, 0.209039, 0.208061, 0.207083, 0.206105, 0.205126, 0.204147, 0.203168, 0.202189, 0.201210, 0.200230, 0.199250, 0.198270, 0.197290, 0.196309, 0.195329, 0.194348, 0.193367, 0.192386, 0.191404, 0.190423, 0.189441, 0.188459, 0.187477, 0.186494, 0.185512, 0.184529, 0.183546, 0.182563, 0.181580, 0.180596, 0.179613, 0.178629, 0.177645, 0.176661, 0.175676, 0.174692, 0.173707, 0.172722, 0.171737, 0.170752, 0.169766, 0.168781, 0.167795, 0.166809, 0.165823, 0.164837, 0.163851, 0.162864, 0.161877, 0.160890, 0.159903, 0.158916, 0.157929, 0.156941, 0.155953, 0.154966, 0.153978, 0.152989, 0.152001, 0.151013, 0.150024, 0.149035, 0.148046, 0.147057, 0.146068, 0.145079, 0.144089, 0.143100, 0.142110, 0.141120, 0.140130, 0.139140, 0.138149, 0.137159, 0.136168, 0.135178, 0.134187, 0.133196, 0.132204, 0.131213, 0.130222, 0.129230, 0.128239, 0.127247, 0.126255, 0.125263, 0.124271, 0.123278, 0.122286, 0.121293, 0.120301, 0.119308, 0.118315, 0.117322, 0.116329, 0.115335, 0.114342, 0.113349, 0.112355, 0.111361, 0.110367, 0.109373, 0.108379, 0.107385, 0.106391, 0.105397, 0.104402, 0.103407, 0.102413, 0.101418, 0.100423, 0.099428, 0.098433, 0.097438, 0.096443, 0.095447, 0.094452, 0.093456, 0.092460, 0.091465, 0.090469, 0.089473, 0.088477, 0.087481, 0.086484, 0.085488, 0.084492, 0.083495, 0.082499, 0.081502, 0.080505, 0.079509, 0.078512, 0.077515, 0.076518, 0.075521, 0.074523, 0.073526, 0.072529, 0.071532, 0.070534, 0.069536, 0.068539, 0.067541, 0.066543, 0.065546, 0.064548, 0.063550, 0.062552, 0.061554, 0.060556, 0.059557, 0.058559, 0.057561, 0.056562, 0.055564, 0.054566, 0.053567, 0.052568, 0.051570, 0.050571, 0.049572, 0.048574, 0.047575, 0.046576, 0.045577, 0.044578, 0.043579, 0.042580, 0.041581, 0.040582, 0.039582, 0.038583, 0.037584, 0.036584, 0.035585, 0.034586, 0.033586, 0.032587, 0.031587, 0.030588, 0.029588, 0.028589, 0.027589, 0.026590, 0.025590, 0.024590, 0.023590, 0.022591, 0.021591, 0.020591, 0.019591, 0.018592, 0.017592, 0.016592, 0.015592, 0.014592, 0.013592, 0.012592, 0.011592, 0.010592, 0.009593, 0.008593, 0.007593, 0.006593, 0.005593, 0.004593, 0.003593, 0.002593, 0.001593, 0.000593, -0.000407};

float cos_precalc(int angle)
{
	if (0<=angle && angle<=3142)
		return t_cos_precalc[angle];
	if (0>angle && angle>=-3142)
		return t_cos_precalc[-angle];
	return 2; //retour d'une valeur abérante pour s'en appercevoir si erreur
}

float sin_precalc(int angle)
{
	if (0<=angle && angle<=3142)
		return t_sin_precalc[angle];
	if (0>angle && angle>=-3142)
		return -t_sin_precalc[-angle];
	return 2; //retour d'une valeur abérante pour s'en appercevoir si erreur
}

double racine(long int a)
{
	return pow((float) a, 0.5); // contrairement a sqrt, pow fonctionne
}

double pow(long int a, long int b)
{	
	return pow((double) a, (double) b);
}

double abs(double a)
{
	if (a<0) {return -a;}
	return a;
}

double diff_angle(double angle1, double angle2)
{
	// en degré
	if (abs(angle2 - angle1) <= 180)
	{
		return angle2-angle1;
	}
	else if (angle2-angle1>0)
	{
		return (angle2-angle1)-360;
	}
	else
	{
		return 360+(angle2-angle1);
	}
}

double borne_angle_r(double angle)
{
	if (angle > PI) {
		angle -= 2*PI;
	}
	else if (angle <= -PI) {
		angle += 2*PI;
	}
	return angle;
}

double borne_angle_d(double angle)
{
	if (angle > 180) {
		angle -= 2*180;
	}
	else if (angle <= -180) {
		angle += 2*180;
	}
	return angle;
}

int signe(float entier){
	if(entier >=0){
		return 1;
	}
	if(entier <0){
		return -1;
	}
	return 0;
}
float min(float f1, float f2){
	if (f1-f2>0){
		return f2;
	}
	else{
		return f1;
	}
}