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c3c/lib/std/math/math_nolibc/sin.c3
2025-10-25 15:55:25 +02:00

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module std::math::nolibc @if(env::NO_LIBC || $feature(C3_MATH));
/* 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.
* ====================================================
*/
fn float _sinf(float x) @weak @cname("sinf") @nostrip
{
uint ix = x.word();
int sign = ix >> 31;
ix &= 0x7fffffff;
switch
{
case ix <= 0x3f490fda:
// |x| ~<= pi/4
if (ix < 0x39800000)
{
/* |x| < 2**-12 */
// raise inexact if x!=0 and underflow if subnormal
if (ix < 0x00800000)
{
@volatile_load(x) / 0x1p120f;
}
else
{
@volatile_load(x) + 0x1p120f;
}
return x;
}
return __sindf(x);
case ix <= 0x407b53d1:
// |x| ~<= 5*pi/4
if (ix <= 0x4016cbe3)
{
// |x| ~<= 3pi/4
if (sign) return -__cosdf(x + S1PI2);
return __cosdf(x - S1PI2);
}
return __sindf(sign ? -(x + S2PI2) : -(x - S2PI2));
case ix <= 0x40e231d5:
// |x| ~<= 9*pi/4
if (ix <= 0x40afeddf)
{
// |x| ~<= 7*pi/4
return sign ? __cosdf(x + S3PI2) : -__cosdf(x - S3PI2);
}
return __sindf(sign ? x + S4PI2 : x - S4PI2);
case ix >= 0x7f800000:
// sin(Inf or NaN) is NaN
return x - x;
}
/* general argument reduction needed */
double y @noinit;
switch (__rem_pio2f(x, &y) & 3)
{
case 0: return __sindf(y);
case 1: return __cosdf(y);
case 2: return __sindf(-y);
default: return -__cosdf(y);
}
}
/* 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.
* ====================================================
*/
fn double sin(double x) @cname("sin") @weak @nostrip
{
// High word of x.
uint ix = x.high_word() & 0x7fffffff;
switch
{
// |x| ~< pi/4
case ix <= 0x3fe921fb:
// |x| < 2**-26
if (ix < 0x3e500000)
{
// raise inexact if x != 0 and underflow if subnormal
force_eval_add(x, ix < 0x00100000 ? -0x1p120f : 0x1p120f);
return x;
}
return __sin(x, 0.0, 0);
// sin(Inf or NaN) is NaN
case ix >= 0x7ff00000:
return x - x;
default:
// argument reduction needed
double[2] y;
switch (__rem_pio2(x, &y) & 3)
{
case 0: return __sin(y[0], y[1], 1);
case 1: return __cos(y[0], y[1]);
case 2: return -__sin(y[0], y[1], 1);
default: return -__cos(y[0], y[1]);
}
}
}