From 45ff9d8eb6f43b8f612d1b01ada627f5b4447c45 Mon Sep 17 00:00:00 2001 From: Szabolcs Nagy Date: Wed, 14 Nov 2012 01:01:38 +0100 Subject: math: ld80 invtrig cleanups keeping only commonly used data in invtrigl --- src/math/atanl.c | 45 +++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 45 insertions(+) (limited to 'src/math/atanl.c') diff --git a/src/math/atanl.c b/src/math/atanl.c index 36072c17..33ecff0d 100644 --- a/src/math/atanl.c +++ b/src/math/atanl.c @@ -23,8 +23,53 @@ long double atanl(long double x) } #elif (LDBL_MANT_DIG == 64 || LDBL_MANT_DIG == 113) && LDBL_MAX_EXP == 16384 #include "__invtrigl.h" + +#define ATAN_CONST (BIAS + 65) /* 2**65 */ +#define ATAN_LINEAR (BIAS - 32) /* 2**-32 */ static const long double huge = 1.0e300; +static const long double atanhi[] = { + 4.63647609000806116202e-01L, + 7.85398163397448309628e-01L, + 9.82793723247329067960e-01L, + 1.57079632679489661926e+00L, +}; + +static const long double atanlo[] = { + 1.18469937025062860669e-20L, + -1.25413940316708300586e-20L, + 2.55232234165405176172e-20L, + -2.50827880633416601173e-20L, +}; + +static const long double aT[] = { + 3.33333333333333333017e-01L, + -1.99999999999999632011e-01L, + 1.42857142857046531280e-01L, + -1.11111111100562372733e-01L, + 9.09090902935647302252e-02L, + -7.69230552476207730353e-02L, + 6.66661718042406260546e-02L, + -5.88158892835030888692e-02L, + 5.25499891539726639379e-02L, + -4.70119845393155721494e-02L, + 4.03539201366454414072e-02L, + -2.91303858419364158725e-02L, + 1.24822046299269234080e-02L, +}; + +static long double T_even(long double x) +{ + return aT[0] + x * (aT[2] + x * (aT[4] + x * (aT[6] + + x * (aT[8] + x * (aT[10] + x * aT[12]))))); +} + +static long double T_odd(long double x) +{ + return aT[1] + x * (aT[3] + x * (aT[5] + x * (aT[7] + + x * (aT[9] + x * aT[11])))); +} + long double atanl(long double x) { union IEEEl2bits u; -- cgit v1.2.1