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);  } | 
