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Diffstat (limited to 'lib/msun/src/s_cospif.c')
-rw-r--r-- | lib/msun/src/s_cospif.c | 107 |
1 files changed, 107 insertions, 0 deletions
diff --git a/lib/msun/src/s_cospif.c b/lib/msun/src/s_cospif.c new file mode 100644 index 000000000000..44d19f165025 --- /dev/null +++ b/lib/msun/src/s_cospif.c @@ -0,0 +1,107 @@ +/*- + * Copyright (c) 2017,2023 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. + */ + +/* + * See ../src/s_cospi.c for implementation details. + */ +#define INLINE_KERNEL_SINDF +#define INLINE_KERNEL_COSDF + +#include "math.h" +#include "math_private.h" +#include "k_cosf.c" +#include "k_sinf.c" + +#define __kernel_cospif(x) (__kernel_cosdf(M_PI * (x))) +#define __kernel_sinpif(x) (__kernel_sindf(M_PI * (x))) + +volatile static const float vzero = 0; + +float +cospif(float x) +{ + float ax, c; + uint32_t ix, j0; + + GET_FLOAT_WORD(ix, x); + ix = ix & 0x7fffffff; + SET_FLOAT_WORD(ax, ix); + + if (ix < 0x3f800000) { /* |x| < 1 */ + if (ix < 0x3e800000) { /* |x| < 0.25 */ + if (ix < 0x38800000) { /* |x| < 0x1p-14 */ + /* Raise inexact iff != 0. */ + if ((int)ax == 0) + return (1); + } + return (__kernel_cospif(ax)); + } + + if (ix < 0x3f000000) /* |x| < 0.5 */ + c = __kernel_sinpif(0.5F - ax); + else if (ix < 0x3f400000) { /* |x| < 0.75 */ + if (ix == 0x3f000000) + return (0); + c = -__kernel_sinpif(ax - 0.5F); + } else + c = -__kernel_cospif(1 - ax); + return (c); + } + + if (ix < 0x4b000000) { /* 1 <= |x| < 0x1p23 */ + FFLOORF(x, j0, ix); /* Integer part of ax. */ + ax -= x; + GET_FLOAT_WORD(ix, ax); + + if (ix < 0x3f000000) { /* |x| < 0.5 */ + if (ix < 0x3e800000) /* |x| < 0.25 */ + c = ix == 0 ? 1 : __kernel_cospif(ax); + else + c = __kernel_sinpif(0.5F - ax); + } else { + if (ix < 0x3f400000) { /* |x| < 0.75 */ + if (ix == 0x3f000000) + return (0); + c = -__kernel_sinpif(ax - 0.5F); + } else + c = -__kernel_cospif(1 - ax); + } + + j0 = (uint32_t)x; + return (j0 & 1 ? -c : c); + } + + /* x = +-inf or nan. */ + if (ix >= 0x7f800000) + return (vzero / vzero); + + /* + * For 0x1p23 <= |x| < 0x1p24 need to determine if x is an even + * or odd integer to return +1 or -1. + * For |x| >= 0x1p24, it is always an even integer, so return 1. + */ + return (ix < 0x4b800000 ? ((ix & 1) ? -1 : 1) : 1); +} |