diff options
Diffstat (limited to 'src')
| -rw-r--r-- | src/linux/sincos.c | 8 | ||||
| -rw-r--r-- | src/math/sincos.c | 68 | ||||
| -rw-r--r-- | src/math/sincosf.c | 113 | ||||
| -rw-r--r-- | src/math/sincosl.c | 66 | 
4 files changed, 247 insertions, 8 deletions
| diff --git a/src/linux/sincos.c b/src/linux/sincos.c deleted file mode 100644 index b69ffce9..00000000 --- a/src/linux/sincos.c +++ /dev/null @@ -1,8 +0,0 @@ -#define _GNU_SOURCE -#include <math.h> - -void sincos(double t, double *y, double *x) -{ -	*y = sin(t); -	*x = cos(t); -} diff --git a/src/math/sincos.c b/src/math/sincos.c new file mode 100644 index 00000000..442e285e --- /dev/null +++ b/src/math/sincos.c @@ -0,0 +1,68 @@ +/* origin: FreeBSD /usr/src/lib/msun/src/s_sin.c */ +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunPro, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +#include "libm.h" + +void sincos(double x, double *sin, double *cos) +{ +	double y[2], s, c; +	uint32_t n, ix; + +	GET_HIGH_WORD(ix, x); +	ix &= 0x7fffffff; + +	/* |x| ~< pi/4 */ +	if (ix <= 0x3fe921fb) { +		/* if |x| < 2**-27 * sqrt(2) */ +		if (ix < 0x3e46a09e) { +			/* raise inexact if x != 0 */ +			if ((int)x == 0) { +				*sin = x; +				*cos = 1.0; +			} +			return; +		} +		*sin = __sin(x, 0.0, 0); +		*cos = __cos(x, 0.0); +		return; +	} + +	/* sincos(Inf or NaN) is NaN */ +	if (ix >= 0x7ff00000) { +		*sin = *cos = x - x; +		return; +	} + +	/* argument reduction needed */ +	n = __rem_pio2(x, y); +	s = __sin(y[0], y[1], 1); +	c = __cos(y[0], y[1]); +	switch (n&3) { +	case 0: +		*sin = s; +		*cos = c; +		break; +	case 1: +		*sin = c; +		*cos = -s; +		break; +	case 2: +		*sin = -s; +		*cos = -c; +		break; +	case 3: +	default: +		*sin = -c; +		*cos = s; +		break; +	} +} diff --git a/src/math/sincosf.c b/src/math/sincosf.c new file mode 100644 index 00000000..fede5f23 --- /dev/null +++ b/src/math/sincosf.c @@ -0,0 +1,113 @@ +/* origin: FreeBSD /usr/src/lib/msun/src/s_sinf.c */ +/* + * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. + * Optimized by Bruce D. Evans. + */ +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunPro, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +#include "libm.h" + +/* Small multiples of pi/2 rounded to double precision. */ +static const double +s1pio2 = 1*M_PI_2, /* 0x3FF921FB, 0x54442D18 */ +s2pio2 = 2*M_PI_2, /* 0x400921FB, 0x54442D18 */ +s3pio2 = 3*M_PI_2, /* 0x4012D97C, 0x7F3321D2 */ +s4pio2 = 4*M_PI_2; /* 0x401921FB, 0x54442D18 */ + +void sincosf(float x, float *sin, float *cos) +{ +	double y, s, c; +	uint32_t n, hx, ix; + +	GET_FLOAT_WORD(hx, x); +	ix = hx & 0x7fffffff; + +	/* |x| ~<= pi/4 */ +	if (ix <= 0x3f490fda) { +		/* |x| < 2**-12 */ +		if (ix < 0x39800000) { +			/* raise inexact if x != 0 */ +			if((int)x == 0) { +				*sin = x; +				*cos = 1.0f; +			} +			return; +		} +		*sin = __sindf(x); +		*cos = __cosdf(x); +		return; +	} + +	/* |x| ~<= 5*pi/4 */ +	if (ix <= 0x407b53d1) {   +		if (ix <= 0x4016cbe3) {  /* |x| ~<= 3pi/4 */ +			if (hx < 0x80000000) { +				*sin = __cosdf(x - s1pio2); +				*cos = __sindf(s1pio2 - x); +			} else { +				*sin = -__cosdf(x + s1pio2); +				*cos = __sindf(x + s1pio2); +			} +			return; +		} +		*sin = __sindf(hx < 0x80000000 ? s2pio2 - x : -s2pio2 - x); +		*cos = -__cosdf(hx < 0x80000000 ? x - s2pio2 : x + s2pio2); +		return; +	} + +	/* |x| ~<= 9*pi/4 */ +	if (ix <= 0x40e231d5) { +		if (ix <= 0x40afeddf) {  /* |x| ~<= 7*pi/4 */ +			if (hx < 0x80000000) { +				*sin = -__cosdf(x - s3pio2); +				*cos = __sindf(x - s3pio2); +			} else { +				*sin = __cosdf(x + s3pio2); +				*cos = __sindf(-s3pio2 - x); +			} +			return; +		} +		*sin = __sindf(hx < 0x80000000 ? x - s4pio2 : x + s4pio2); +		*cos = __cosdf(hx < 0x80000000 ? x - s4pio2 : x + s4pio2); +		return; +	} + +	/* sin(Inf or NaN) is NaN */ +	if (ix >= 0x7f800000) { +		*sin = *cos = x - x; +		return; +	} + +	/* general argument reduction needed */ +	n = __rem_pio2f(x, &y); +	s = __sindf(y); +	c = __cosdf(y); +	switch (n&3) { +	case 0: +		*sin = s; +		*cos = c; +		break; +	case 1: +		*sin = c; +		*cos = -s; +		break; +	case 2: +		*sin = -s; +		*cos = -c; +		break; +	case 3: +	default: +		*sin = -c; +		*cos = s; +		break; +	} +} diff --git a/src/math/sincosl.c b/src/math/sincosl.c new file mode 100644 index 00000000..378dc979 --- /dev/null +++ b/src/math/sincosl.c @@ -0,0 +1,66 @@ +#include "libm.h" + +#if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024 +void sincosl(long double x, long double *sin, long double *cos) +{ +	double s, c; +	sincos(x, &s, &c); +	*sin = s; +	*cos = c; +} +#elif (LDBL_MANT_DIG == 64 || LDBL_MANT_DIG == 113) && LDBL_MAX_EXP == 16384 +#include "__rem_pio2l.h" + +void sincosl(long double x, long double *sin, long double *cos) +{ +	union IEEEl2bits u; +	int n; +	long double y[2], s, c; + +	u.e = x; +	u.bits.sign = 0; + +	/* x = +-0 or subnormal */ +	if (!u.bits.exp) { +		*sin = x; +		*cos = 1.0; +		return; +	} + +	/* x = nan or inf */ +	if (u.bits.exp == 0x7fff) { +		*sin = *cos = x - x; +		return; +	} + +	/* |x| < pi/4 */ +	if (u.e < M_PI_4) { +		*sin = __sinl(x, 0, 0); +		*cos = __cosl(x, 0); +		return; +	} + +	n = __rem_pio2l(x, y); +	s = __sinl(y[0], y[1], 1); +	c = __cosl(y[0], y[1]); +	switch (n & 3) { +	case 0: +		*sin = s; +		*cos = c; +		break; +	case 1: +		*sin = c; +		*cos = -s; +		break; +	case 2: +		*sin = -s; +		*cos = -c; +		break; +	case 3: +	default: +		*sin = -c; +		*cos = s; +		break; +	} +} +#endif | 
