diff options
Diffstat (limited to 'lib/msun/src/s_cosl.c')
-rw-r--r-- | lib/msun/src/s_cosl.c | 90 |
1 files changed, 90 insertions, 0 deletions
diff --git a/lib/msun/src/s_cosl.c b/lib/msun/src/s_cosl.c new file mode 100644 index 0000000..8d43626 --- /dev/null +++ b/lib/msun/src/s_cosl.c @@ -0,0 +1,90 @@ +/*- + * Copyright (c) 2007 Steven G. Kargl + * All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * 1. Redistributions of source code must retain the above copyright + * notice unmodified, this list of conditions, and the following + * disclaimer. + * 2. Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * + * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR + * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES + * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. + * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT, + * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT + * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, + * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY + * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT + * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF + * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + */ + +#include <sys/cdefs.h> +__FBSDID("$FreeBSD$"); + +/* + * Limited testing on pseudorandom numbers drawn within [-2e8:4e8] shows + * an accuracy of <= 0.7412 ULP. + */ + +#include <float.h> + +#include "math.h" +#include "math_private.h" +#if LDBL_MANT_DIG == 64 +#include "../ld80/e_rem_pio2l.h" +#elif LDBL_MANT_DIG == 113 +#include "../ld128/e_rem_pio2l.h" +#else +#error "Unsupported long double format" +#endif + +long double +cosl(long double x) +{ + union IEEEl2bits z; + int e0; + long double y[2]; + long double hi, lo; + + z.e = x; + z.bits.sign = 0; + + /* If x = +-0 or x is a subnormal number, then cos(x) = 1 */ + if (z.bits.exp == 0) + return (1.0); + + /* If x = NaN or Inf, then cos(x) = NaN. */ + if (z.bits.exp == 32767) + return ((x - x) / (x - x)); + + /* Optimize the case where x is already within range. */ + if (z.e < M_PI_4) + return (__kernel_cosl(z.e, 0)); + + e0 = __ieee754_rem_pio2l(x, y); + hi = y[0]; + lo = y[1]; + + switch (e0 & 3) { + case 0: + hi = __kernel_cosl(hi, lo); + break; + case 1: + hi = - __kernel_sinl(hi, lo, 1); + break; + case 2: + hi = - __kernel_cosl(hi, lo); + break; + case 3: + hi = __kernel_sinl(hi, lo, 1); + break; + } + + return (hi); +} |