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path: root/src/math/__invtrigl.c
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 ```1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 ``` ``````#include #include "__invtrigl.h" #if LDBL_MANT_DIG == 64 && LDBL_MAX_EXP == 16384 static const long double pS0 = 1.66666666666666666631e-01L, pS1 = -4.16313987993683104320e-01L, pS2 = 3.69068046323246813704e-01L, pS3 = -1.36213932016738603108e-01L, pS4 = 1.78324189708471965733e-02L, pS5 = -2.19216428382605211588e-04L, pS6 = -7.10526623669075243183e-06L, qS1 = -2.94788392796209867269e+00L, qS2 = 3.27309890266528636716e+00L, qS3 = -1.68285799854822427013e+00L, qS4 = 3.90699412641738801874e-01L, qS5 = -3.14365703596053263322e-02L; const long double pio2_hi = 1.57079632679489661926L; const long double pio2_lo = -2.50827880633416601173e-20L; /* used in asinl() and acosl() */ /* R(x^2) is a rational approximation of (asin(x)-x)/x^3 with Remez algorithm */ long double __invtrigl_R(long double z) { long double p, q; p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*(pS5+z*pS6)))))); q = 1.0+z*(qS1+z*(qS2+z*(qS3+z*(qS4+z*qS5)))); return p/q; } #elif LDBL_MANT_DIG == 113 && LDBL_MAX_EXP == 16384 static const long double pS0 = 1.66666666666666666666666666666700314e-01L, pS1 = -7.32816946414566252574527475428622708e-01L, pS2 = 1.34215708714992334609030036562143589e+00L, pS3 = -1.32483151677116409805070261790752040e+00L, pS4 = 7.61206183613632558824485341162121989e-01L, pS5 = -2.56165783329023486777386833928147375e-01L, pS6 = 4.80718586374448793411019434585413855e-02L, pS7 = -4.42523267167024279410230886239774718e-03L, pS8 = 1.44551535183911458253205638280410064e-04L, pS9 = -2.10558957916600254061591040482706179e-07L, qS1 = -4.84690167848739751544716485245697428e+00L, qS2 = 9.96619113536172610135016921140206980e+00L, qS3 = -1.13177895428973036660836798461641458e+01L, qS4 = 7.74004374389488266169304117714658761e+00L, qS5 = -3.25871986053534084709023539900339905e+00L, qS6 = 8.27830318881232209752469022352928864e-01L, qS7 = -1.18768052702942805423330715206348004e-01L, qS8 = 8.32600764660522313269101537926539470e-03L, qS9 = -1.99407384882605586705979504567947007e-04L; const long double pio2_hi = 1.57079632679489661923132169163975140L; const long double pio2_lo = 4.33590506506189051239852201302167613e-35L; long double __invtrigl_R(long double z) { long double p, q; p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*(pS5+z*(pS6+z*(pS7+z*(pS8+z*pS9))))))))); q = 1.0+z*(qS1+z*(qS2+z*(qS3+z*(qS4+z*(qS5+z*(pS6+z*(pS7+z*(pS8+z*pS9)))))))); return p/q; } #endif ``````