diff options
Diffstat (limited to 'src/math/acosf.c')
-rw-r--r-- | src/math/acosf.c | 77 |
1 files changed, 37 insertions, 40 deletions
diff --git a/src/math/acosf.c b/src/math/acosf.c index d875f3ef..5d7c0270 100644 --- a/src/math/acosf.c +++ b/src/math/acosf.c @@ -16,59 +16,56 @@ #include "libm.h" static const float -pi = 3.1415925026e+00, /* 0x40490fda */ -pio2_hi = 1.5707962513e+00; /* 0x3fc90fda */ -static const volatile float -pio2_lo = 7.5497894159e-08; /* 0x33a22168 */ -static const float +pio2_hi = 1.5707962513e+00, /* 0x3fc90fda */ +pio2_lo = 7.5497894159e-08, /* 0x33a22168 */ pS0 = 1.6666586697e-01, pS1 = -4.2743422091e-02, pS2 = -8.6563630030e-03, qS1 = -7.0662963390e-01; +static float R(float z) +{ + float p, q; + p = z*(pS0+z*(pS1+z*pS2)); + q = 1.0f+z*qS1; + return p/q; +} + float acosf(float x) { - float z,p,q,r,w,s,c,df; - int32_t hx,ix; + float z,w,s,c,df; + uint32_t hx,ix; GET_FLOAT_WORD(hx, x); ix = hx & 0x7fffffff; - if (ix >= 0x3f800000) { /* |x| >= 1 */ - if (ix == 0x3f800000) { /* |x| == 1 */ - if (hx > 0) return 0.0f; /* acos(1) = 0 */ - return pi + 2.0f*pio2_lo; /* acos(-1)= pi */ + /* |x| >= 1 or nan */ + if (ix >= 0x3f800000) { + if (ix == 0x3f800000) { + if (hx >> 31) + return 2*pio2_hi + 0x1p-120f; + return 0; } - return (x-x)/(x-x); /* acos(|x|>1) is NaN */ + return 0/(x-x); } - if (ix < 0x3f000000) { /* |x| < 0.5 */ + /* |x| < 0.5 */ + if (ix < 0x3f000000) { if (ix <= 0x32800000) /* |x| < 2**-26 */ - return pio2_hi + pio2_lo; - z = x*x; - p = z*(pS0+z*(pS1+z*pS2)); - q = 1.0f+z*qS1; - r = p/q; - return pio2_hi - (x - (pio2_lo-x*r)); - } else if (hx < 0) { /* x < -0.5 */ - z = (1.0f+x)*0.5f; - p = z*(pS0+z*(pS1+z*pS2)); - q = 1.0f+z*qS1; - s = sqrtf(z); - r = p/q; - w = r*s-pio2_lo; - return pi - 2.0f*(s+w); - } else { /* x > 0.5 */ - int32_t idf; - - z = (1.0f-x)*0.5f; + return pio2_hi + 0x1p-120f; + return pio2_hi - (x - (pio2_lo-x*R(x*x))); + } + /* x < -0.5 */ + if (hx >> 31) { + z = (1+x)*0.5f; s = sqrtf(z); - df = s; - GET_FLOAT_WORD(idf,df); - SET_FLOAT_WORD(df,idf&0xfffff000); - c = (z-df*df)/(s+df); - p = z*(pS0+z*(pS1+z*pS2)); - q = 1.0f+z*qS1; - r = p/q; - w = r*s+c; - return 2.0f*(df+w); + w = R(z)*s-pio2_lo; + return 2*(pio2_hi - (s+w)); } + /* x > 0.5 */ + z = (1-x)*0.5f; + s = sqrtf(z); + GET_FLOAT_WORD(hx,s); + SET_FLOAT_WORD(df,hx&0xfffff000); + c = (z-df*df)/(s+df); + w = R(z)*s+c; + return 2*(df+w); } |