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Diffstat (limited to 'lib/libm/__invtrigl.c')
| -rw-r--r-- | lib/libm/__invtrigl.c | 78 |
1 files changed, 78 insertions, 0 deletions
diff --git a/lib/libm/__invtrigl.c b/lib/libm/__invtrigl.c new file mode 100644 index 00000000..66e4c7eb --- /dev/null +++ b/lib/libm/__invtrigl.c @@ -0,0 +1,78 @@ +#include <float.h> +#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 * (qS6 + + z * (qS7 + z * (qS8 + z * qS9)))))))); + return p / q; +} +#endif |
