Título: Necesito funciones personalizadas de math Publicado por: CodeShut en 29 Septiembre 2013, 04:43 am Hola y gracias a todos por leer mi tema, necesito algunas funciones de trigonometría pero personalizadas, no quiero las de math.h , sino unas personalizadas
http://stackoverflow.com/questions/11261170/c-and-maths-fast-approximation-of-a-trigonometric-function http://www.nongnu.org/avr-libc/user-manual/group__avr__math.html http://arduino.cc/es/Reference/Libraries http://blog.oscarliang.net/enhanced-arduino-c-custom-math-library/ Código: float __cdecl SIN_ID(int deg){ esas son las funciones que quiero usar pero necesito las tablas lookup como fue sugerido en uno de esos links que se encuentran al principio. quisiera ayuda para poner en funcionamiento este código porque no se encuentra terminado, faltan las tablas SIN_TABLE, ACOS_TABLE y unas macro (DEC4) y en realidad no se cómo rellenar lo que falta . desde ya que agradezco cualquier respuesta para colaborar con estas funciones. Título: Re: Necesito funciones personalizadas de math Publicado por: CodeShut en 29 Septiembre 2013, 04:49 am http://stackoverflow.com/questions/11261170/c-and-maths-fast-approximation-of-a-trigonometric-function
http://stackoverflow.com/questions/5777110/fast-implementation-of-trigonometric-functions-for-c aver en este link sale una especie de tabla https://pastee.org/dhwbj parece ser el valor de sin para los grados desde 0 a 359 (360 no cuenta) Citar Degree[0] -> (X): [ 1 , 1 ] , [ 0 , 0 ] Degree[1] -> (X): [ 0.999844 , 0.999848 ] , [ 0.0174531 , 0.0174524 ] Degree[2] -> (X): [ 0.999391 , 0.999391 ] , [ 0.0349062 , 0.0348995 ] Degree[3] -> (X): [ 0.998625 , 0.99863 ] , [ 0.0523437 , 0.052336 ] Degree[4] -> (X): [ 0.997563 , 0.997564 ] , [ 0.06975 , 0.0697565 ] Degree[5] -> (X): [ 0.996188 , 0.996195 ] , [ 0.0871563 , 0.0871557 ] Degree[6] -> (X): [ 0.994516 , 0.994522 ] , [ 0.104531 , 0.104528 ] Degree[7] -> (X): [ 0.992547 , 0.992546 ] , [ 0.121875 , 0.121869 ] Degree[8] -> (X): [ 0.990266 , 0.990268 ] , [ 0.139172 , 0.139173 ] Degree[9] -> (X): [ 0.987688 , 0.987688 ] , [ 0.156438 , 0.156434 ] Degree[10] -> (X): [ 0.984812 , 0.984808 ] , [ 0.173641 , 0.173648 ] Degree[11] -> (X): [ 0.981625 , 0.981627 ] , [ 0.190812 , 0.190809 ] Degree[12] -> (X): [ 0.978141 , 0.978148 ] , [ 0.207906 , 0.207912 ] Degree[13] -> (X): [ 0.974375 , 0.97437 ] , [ 0.224953 , 0.224951 ] Degree[14] -> (X): [ 0.970297 , 0.970296 ] , [ 0.241922 , 0.241922 ] Degree[15] -> (X): [ 0.965922 , 0.965926 ] , [ 0.258812 , 0.258819 ] Degree[16] -> (X): [ 0.961266 , 0.961262 ] , [ 0.275641 , 0.275637 ] Degree[17] -> (X): [ 0.956312 , 0.956305 ] , [ 0.292375 , 0.292372 ] Degree[18] -> (X): [ 0.951063 , 0.951057 ] , [ 0.309016 , 0.309017 ] Degree[19] -> (X): [ 0.945516 , 0.945519 ] , [ 0.325563 , 0.325568 ] Degree[20] -> (X): [ 0.939687 , 0.939693 ] , [ 0.342016 , 0.34202 ] Degree[21] -> (X): [ 0.933578 , 0.93358 ] , [ 0.358375 , 0.358368 ] Degree[22] -> (X): [ 0.927188 , 0.927184 ] , [ 0.374609 , 0.374607 ] Degree[23] -> (X): [ 0.9205 , 0.920505 ] , [ 0.390734 , 0.390731 ] Degree[24] -> (X): [ 0.913547 , 0.913545 ] , [ 0.406734 , 0.406737 ] Degree[25] -> (X): [ 0.906313 , 0.906308 ] , [ 0.422625 , 0.422618 ] Degree[26] -> (X): [ 0.898797 , 0.898794 ] , [ 0.438375 , 0.438371 ] Degree[27] -> (X): [ 0.891 , 0.891007 ] , [ 0.453984 , 0.45399 ] Degree[28] -> (X): [ 0.882953 , 0.882948 ] , [ 0.469469 , 0.469472 ] Degree[29] -> (X): [ 0.874625 , 0.87462 ] , [ 0.484812 , 0.48481 ] Degree[30] -> (X): [ 0.866031 , 0.866025 ] , [ 0.5 , 0.5 ] Degree[31] -> (X): [ 0.857172 , 0.857167 ] , [ 0.515031 , 0.515038 ] Degree[32] -> (X): [ 0.848047 , 0.848048 ] , [ 0.529922 , 0.529919 ] Degree[33] -> (X): [ 0.838672 , 0.838671 ] , [ 0.544641 , 0.544639 ] Degree[34] -> (X): [ 0.829031 , 0.829038 ] , [ 0.559187 , 0.559193 ] Degree[35] -> (X): [ 0.819156 , 0.819152 ] , [ 0.573578 , 0.573576 ] Degree[36] -> (X): [ 0.809016 , 0.809017 ] , [ 0.587781 , 0.587785 ] Degree[37] -> (X): [ 0.798641 , 0.798635 ] , [ 0.601812 , 0.601815 ] Degree[38] -> (X): [ 0.788016 , 0.788011 ] , [ 0.615656 , 0.615662 ] Degree[39] -> (X): [ 0.777141 , 0.777146 ] , [ 0.629328 , 0.62932 ] Degree[40] -> (X): [ 0.766047 , 0.766044 ] , [ 0.642781 , 0.642788 ] Degree[41] -> (X): [ 0.754703 , 0.75471 ] , [ 0.656062 , 0.656059 ] Degree[42] -> (X): [ 0.743141 , 0.743145 ] , [ 0.669125 , 0.669131 ] Degree[43] -> (X): [ 0.731359 , 0.731354 ] , [ 0.682 , 0.681998 ] Degree[44] -> (X): [ 0.719344 , 0.71934 ] , [ 0.694656 , 0.694658 ] Degree[45] -> (X): [ 0.707109 , 0.707107 ] , [ 0.707109 , 0.707107 ] Degree[46] -> (X): [ 0.694656 , 0.694658 ] , [ 0.719344 , 0.71934 ] Degree[47] -> (X): [ 0.682 , 0.681998 ] , [ 0.731359 , 0.731354 ] Degree[48] -> (X): [ 0.669125 , 0.669131 ] , [ 0.743141 , 0.743145 ] Degree[49] -> (X): [ 0.656062 , 0.656059 ] , [ 0.754703 , 0.75471 ] Degree[50] -> (X): [ 0.642781 , 0.642788 ] , [ 0.766047 , 0.766044 ] Degree[51] -> (X): [ 0.629328 , 0.62932 ] , [ 0.777141 , 0.777146 ] Degree[52] -> (X): [ 0.615656 , 0.615662 ] , [ 0.788016 , 0.788011 ] Degree[53] -> (X): [ 0.601812 , 0.601815 ] , [ 0.798641 , 0.798635 ] Degree[54] -> (X): [ 0.587781 , 0.587785 ] , [ 0.809016 , 0.809017 ] Degree[55] -> (X): [ 0.573578 , 0.573576 ] , [ 0.819156 , 0.819152 ] Degree[56] -> (X): [ 0.559187 , 0.559193 ] , [ 0.829031 , 0.829038 ] Degree[57] -> (X): [ 0.544641 , 0.544639 ] , [ 0.838672 , 0.838671 ] Degree[58] -> (X): [ 0.529922 , 0.529919 ] , [ 0.848047 , 0.848048 ] Degree[59] -> (X): [ 0.515031 , 0.515038 ] , [ 0.857172 , 0.857167 ] Degree[60] -> (X): [ 0.5 , 0.5 ] , [ 0.866031 , 0.866025 ] Degree[61] -> (X): [ 0.484812 , 0.48481 ] , [ 0.874625 , 0.87462 ] Degree[62] -> (X): [ 0.469469 , 0.469472 ] , [ 0.882953 , 0.882948 ] Degree[63] -> (X): [ 0.453984 , 0.45399 ] , [ 0.891 , 0.891007 ] Degree[64] -> (X): [ 0.438375 , 0.438371 ] , [ 0.898797 , 0.898794 ] Degree[65] -> (X): [ 0.422625 , 0.422618 ] , [ 0.906313 , 0.906308 ] Degree[66] -> (X): [ 0.406734 , 0.406737 ] , [ 0.913547 , 0.913545 ] Degree[67] -> (X): [ 0.390734 , 0.390731 ] , [ 0.9205 , 0.920505 ] Degree[68] -> (X): [ 0.374609 , 0.374607 ] , [ 0.927188 , 0.927184 ] Degree[69] -> (X): [ 0.358375 , 0.358368 ] , [ 0.933578 , 0.93358 ] Degree[70] -> (X): [ 0.342016 , 0.34202 ] , [ 0.939687 , 0.939693 ] Degree[71] -> (X): [ 0.325563 , 0.325568 ] , [ 0.945516 , 0.945519 ] Degree[72] -> (X): [ 0.309016 , 0.309017 ] , [ 0.951063 , 0.951057 ] Degree[73] -> (X): [ 0.292375 , 0.292372 ] , [ 0.956312 , 0.956305 ] Degree[74] -> (X): [ 0.275641 , 0.275637 ] , [ 0.961266 , 0.961262 ] Degree[75] -> (X): [ 0.258812 , 0.258819 ] , [ 0.965922 , 0.965926 ] Degree[76] -> (X): [ 0.241922 , 0.241922 ] , [ 0.970297 , 0.970296 ] Degree[77] -> (X): [ 0.224953 , 0.224951 ] , [ 0.974375 , 0.97437 ] Degree[78] -> (X): [ 0.207906 , 0.207912 ] , [ 0.978141 , 0.978148 ] Degree[79] -> (X): [ 0.190812 , 0.190809 ] , [ 0.981625 , 0.981627 ] Degree[80] -> (X): [ 0.173641 , 0.173648 ] , [ 0.984812 , 0.984808 ] Degree[81] -> (X): [ 0.156438 , 0.156434 ] , [ 0.987688 , 0.987688 ] Degree[82] -> (X): [ 0.139172 , 0.139173 ] , [ 0.990266 , 0.990268 ] Degree[83] -> (X): [ 0.121875 , 0.121869 ] , [ 0.992547 , 0.992546 ] Degree[84] -> (X): [ 0.104531 , 0.104528 ] , [ 0.994516 , 0.994522 ] Degree[85] -> (X): [ 0.0871563 , 0.0871557 ] , [ 0.996188 , 0.996195 ] Degree[86] -> (X): [ 0.06975 , 0.0697565 ] , [ 0.997563 , 0.997564 ] Degree[87] -> (X): [ 0.0523437 , 0.052336 ] , [ 0.998625 , 0.99863 ] Degree[88] -> (X): [ 0.0349062 , 0.0348995 ] , [ 0.999391 , 0.999391 ] Degree[89] -> (X): [ 0.0174531 , 0.0174524 ] , [ 0.999844 , 0.999848 ] Degree[90] -> (X): [ -0 , 6.12323e-017 ] , [ 1 , 1 ] Degree[91] -> (X): [ -0.0174531 , -0.0174524 ] , [ 0.999844 , 0.999848 ] Degree[92] -> (X): [ -0.0349062 , -0.0348995 ] , [ 0.999391 , 0.999391 ] Degree[93] -> (X): [ -0.0523437 , -0.052336 ] , [ 0.998625 , 0.99863 ] Degree[94] -> (X): [ -0.06975 , -0.0697565 ] , [ 0.997563 , 0.997564 ] Degree[95] -> (X): [ -0.0871563 , -0.0871557 ] , [ 0.996188 , 0.996195 ] Degree[96] -> (X): [ -0.104531 , -0.104528 ] , [ 0.994516 , 0.994522 ] Degree[97] -> (X): [ -0.121875 , -0.121869 ] , [ 0.992547 , 0.992546 ] Degree[98] -> (X): [ -0.139172 , -0.139173 ] , [ 0.990266 , 0.990268 ] Degree[99] -> (X): [ -0.156438 , -0.156434 ] , [ 0.987688 , 0.987688 ] Degree[100] -> (X): [ -0.173641 , -0.173648 ] , [ 0.984812 , 0.984808 ] Degree[101] -> (X): [ -0.190812 , -0.190809 ] , [ 0.981625 , 0.981627 ] Degree[102] -> (X): [ -0.207906 , -0.207912 ] , [ 0.978141 , 0.978148 ] Degree[103] -> (X): [ -0.224953 , -0.224951 ] , [ 0.974375 , 0.97437 ] Degree[104] -> (X): [ -0.241922 , -0.241922 ] , [ 0.970297 , 0.970296 ] Degree[105] -> (X): [ -0.258812 , -0.258819 ] , [ 0.965922 , 0.965926 ] Degree[106] -> (X): [ -0.275641 , -0.275637 ] , [ 0.961266 , 0.961262 ] Degree[107] -> (X): [ -0.292375 , -0.292372 ] , [ 0.956312 , 0.956305 ] Degree[108] -> (X): [ -0.309016 , -0.309017 ] , [ 0.951063 , 0.951057 ] Degree[109] -> (X): [ -0.325563 , -0.325568 ] , [ 0.945516 , 0.945519 ] Degree[110] -> (X): [ -0.342016 , -0.34202 ] , [ 0.939687 , 0.939693 ] Degree[111] -> (X): [ -0.358375 , -0.358368 ] , [ 0.933578 , 0.93358 ] Degree[112] -> (X): [ -0.374609 , -0.374607 ] , [ 0.927188 , 0.927184 ] Degree[113] -> (X): [ -0.390734 , -0.390731 ] , [ 0.9205 , 0.920505 ] Degree[114] -> (X): [ -0.406734 , -0.406737 ] , [ 0.913547 , 0.913545 ] Degree[115] -> (X): [ -0.422625 , -0.422618 ] , [ 0.906313 , 0.906308 ] Degree[116] -> (X): [ -0.438375 , -0.438371 ] , [ 0.898797 , 0.898794 ] Degree[117] -> (X): [ -0.453984 , -0.45399 ] , [ 0.891 , 0.891007 ] Degree[118] -> (X): [ -0.469469 , -0.469472 ] , [ 0.882953 , 0.882948 ] Degree[119] -> (X): [ -0.484812 , -0.48481 ] , [ 0.874625 , 0.87462 ] Degree[120] -> (X): [ -0.5 , -0.5 ] , [ 0.866031 , 0.866025 ] Degree[121] -> (X): [ -0.515031 , -0.515038 ] , [ 0.857172 , 0.857167 ] Degree[122] -> (X): [ -0.529922 , -0.529919 ] , [ 0.848047 , 0.848048 ] Degree[123] -> (X): [ -0.544641 , -0.544639 ] , [ 0.838672 , 0.838671 ] Degree[124] -> (X): [ -0.559187 , -0.559193 ] , [ 0.829031 , 0.829038 ] Degree[125] -> (X): [ -0.573578 , -0.573576 ] , [ 0.819156 , 0.819152 ] Degree[126] -> (X): [ -0.587781 , -0.587785 ] , [ 0.809016 , 0.809017 ] Degree[127] -> (X): [ -0.601812 , -0.601815 ] , [ 0.798641 , 0.798635 ] Degree[128] -> (X): [ -0.615656 , -0.615662 ] , [ 0.788016 , 0.788011 ] Degree[129] -> (X): [ -0.629328 , -0.62932 ] , [ 0.777141 , 0.777146 ] Degree[130] -> (X): [ -0.642781 , -0.642788 ] , [ 0.766047 , 0.766044 ] Degree[131] -> (X): [ -0.656062 , -0.656059 ] , [ 0.754703 , 0.75471 ] Degree[132] -> (X): [ -0.669125 , -0.669131 ] , [ 0.743141 , 0.743145 ] Degree[133] -> (X): [ -0.682 , -0.681998 ] , [ 0.731359 , 0.731354 ] Degree[134] -> (X): [ -0.694656 , -0.694658 ] , [ 0.719344 , 0.71934 ] Degree[135] -> (X): [ -0.707109 , -0.707107 ] , [ 0.707109 , 0.707107 ] Degree[136] -> (X): [ -0.719344 , -0.71934 ] , [ 0.694656 , 0.694658 ] Degree[137] -> (X): [ -0.731359 , -0.731354 ] , [ 0.682 , 0.681998 ] Degree[138] -> (X): [ -0.743141 , -0.743145 ] , [ 0.669125 , 0.669131 ] Degree[139] -> (X): [ -0.754703 , -0.75471 ] , [ 0.656062 , 0.656059 ] Degree[140] -> (X): [ -0.766047 , -0.766044 ] , [ 0.642781 , 0.642788 ] Degree[141] -> (X): [ -0.777141 , -0.777146 ] , [ 0.629328 , 0.62932 ] Degree[142] -> (X): [ -0.788016 , -0.788011 ] , [ 0.615656 , 0.615662 ] Degree[143] -> (X): [ -0.798641 , -0.798635 ] , [ 0.601812 , 0.601815 ] Degree[144] -> (X): [ -0.809016 , -0.809017 ] , [ 0.587781 , 0.587785 ] Degree[145] -> (X): [ -0.819156 , -0.819152 ] , [ 0.573578 , 0.573576 ] Degree[146] -> (X): [ -0.829031 , -0.829038 ] , [ 0.559187 , 0.559193 ] Degree[147] -> (X): [ -0.838672 , -0.838671 ] , [ 0.544641 , 0.544639 ] Degree[148] -> (X): [ -0.848047 , -0.848048 ] , [ 0.529922 , 0.529919 ] Degree[149] -> (X): [ -0.857172 , -0.857167 ] , [ 0.515031 , 0.515038 ] Degree[150] -> (X): [ -0.866031 , -0.866025 ] , [ 0.5 , 0.5 ] Degree[151] -> (X): [ -0.874625 , -0.87462 ] , [ 0.484812 , 0.48481 ] Degree[152] -> (X): [ -0.882953 , -0.882948 ] , [ 0.469469 , 0.469472 ] Degree[153] -> (X): [ -0.891 , -0.891007 ] , [ 0.453984 , 0.45399 ] Degree[154] -> (X): [ -0.898797 , -0.898794 ] , [ 0.438375 , 0.438371 ] Degree[155] -> (X): [ -0.906313 , -0.906308 ] , [ 0.422625 , 0.422618 ] Degree[156] -> (X): [ -0.913547 , -0.913545 ] , [ 0.406734 , 0.406737 ] Degree[157] -> (X): [ -0.9205 , -0.920505 ] , [ 0.390734 , 0.390731 ] Degree[158] -> (X): [ -0.927188 , -0.927184 ] , [ 0.374609 , 0.374607 ] Degree[159] -> (X): [ -0.933578 , -0.93358 ] , [ 0.358375 , 0.358368 ] Degree[160] -> (X): [ -0.939687 , -0.939693 ] , [ 0.342016 , 0.34202 ] Degree[161] -> (X): [ -0.945516 , -0.945519 ] , [ 0.325563 , 0.325568 ] Degree[162] -> (X): [ -0.951063 , -0.951057 ] , [ 0.309016 , 0.309017 ] Degree[163] -> (X): [ -0.956312 , -0.956305 ] , [ 0.292375 , 0.292372 ] Degree[164] -> (X): [ -0.961266 , -0.961262 ] , [ 0.275641 , 0.275637 ] Degree[165] -> (X): [ -0.965922 , -0.965926 ] , [ 0.258812 , 0.258819 ] Degree[166] -> (X): [ -0.970297 , -0.970296 ] , [ 0.241922 , 0.241922 ] Degree[167] -> (X): [ -0.974375 , -0.97437 ] , [ 0.224953 , 0.224951 ] Degree[168] -> (X): [ -0.978141 , -0.978148 ] , [ 0.207906 , 0.207912 ] Degree[169] -> (X): [ -0.981625 , -0.981627 ] , [ 0.190812 , 0.190809 ] Degree[170] -> (X): [ -0.984812 , -0.984808 ] , [ 0.173641 , 0.173648 ] Degree[171] -> (X): [ -0.987688 , -0.987688 ] , [ 0.156438 , 0.156434 ] Degree[172] -> (X): [ -0.990266 , -0.990268 ] , [ 0.139172 , 0.139173 ] Degree[173] -> (X): [ -0.992547 , -0.992546 ] , [ 0.121875 , 0.121869 ] Degree[174] -> (X): [ -0.994516 , -0.994522 ] , [ 0.104531 , 0.104528 ] Degree[175] -> (X): [ -0.996188 , -0.996195 ] , [ 0.0871563 , 0.0871557 ] Degree[176] -> (X): [ -0.997563 , -0.997564 ] , [ 0.06975 , 0.0697565 ] Degree[177] -> (X): [ -0.998625 , -0.99863 ] , [ 0.0523437 , 0.052336 ] Degree[178] -> (X): [ -0.999391 , -0.999391 ] , [ 0.0349062 , 0.0348995 ] Degree[179] -> (X): [ -0.999844 , -0.999848 ] , [ 0.0174531 , 0.0174524 ] Degree[180] -> (X): [ -1 , -1 ] , [ -0 , 1.22465e-016 Degree[181] -> (X): [ -0.999844 , -0.999848 ] , [ -0.0174531 , -0.0174524 ] Degree[182] -> (X): [ -0.999391 , -0.999391 ] , [ 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] Degree[348] -> (X): [ 0.978141 , 0.978148 ] , [ -0.207906 , -0.207912 ] Degree[349] -> (X): [ 0.981625 , 0.981627 ] , [ -0.190812 , -0.190809 ] Degree[350] -> (X): [ 0.984812 , 0.984808 ] , [ -0.173641 , -0.173648 ] Degree[351] -> (X): [ 0.987688 , 0.987688 ] , [ -0.156438 , -0.156434 ] Degree[352] -> (X): [ 0.990266 , 0.990268 ] , [ -0.139172 , -0.139173 ] Degree[353] -> (X): [ 0.992547 , 0.992546 ] , [ -0.121875 , -0.121869 ] Degree[354] -> (X): [ 0.994516 , 0.994522 ] , [ -0.104531 , -0.104528 ] Degree[355] -> (X): [ 0.996188 , 0.996195 ] , [ -0.0871563 , -0.0871557 ] Degree[356] -> (X): [ 0.997563 , 0.997564 ] , [ -0.06975 , -0.0697565 ] Degree[357] -> (X): [ 0.998625 , 0.99863 ] , [ -0.0523437 , -0.052336 ] Degree[358] -> (X): [ 0.999391 , 0.999391 ] , [ -0.0349062 , -0.0348995 ] Degree[359] -> (X): [ 0.999844 , 0.999848 ] , [ -0.0174531 , -0.0174524 ] es esta la tabla que necesito? Título: Re: Necesito funciones personalizadas de math Publicado por: ivancea96 en 29 Septiembre 2013, 10:41 am Si la tabla no te da la precisión que necesitas, puedes calcularlo mediante la serie de taylor:
Serie de Taylor, Wikipedia (http://es.wikipedia.org/wiki/Serie_de_Taylor#Series_de_Maclaurin_.28Taylor_alrededor_de_0.29_notables) |