newlib/libm/common/sincosf_data.c

   1 /* Data definitions for sinf, cosf and sincosf.
   2    Copyright (c) 2018 Arm Ltd.  All rights reserved.
   3
   4    SPDX-License-Identifier: BSD-3-Clause
   5
   6    Redistribution and use in source and binary forms, with or without
   7    modification, are permitted provided that the following conditions
   8    are met:
   9    1. Redistributions of source code must retain the above copyright
  10       notice, this list of conditions and the following disclaimer.
  11    2. Redistributions in binary form must reproduce the above copyright
  12       notice, this list of conditions and the following disclaimer in the
  13       documentation and/or other materials provided with the distribution.
  14    3. The name of the company may not be used to endorse or promote
  15       products derived from this software without specific prior written
  16       permission.
  17
  18    THIS SOFTWARE IS PROVIDED BY ARM LTD ``AS IS'' AND ANY EXPRESS OR IMPLIED
  19    WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
  20    MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
  21    IN NO EVENT SHALL ARM LTD BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
  22    SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED
  23    TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
  24    PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
  25    LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
  26    NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
  27    SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */
  28
  29 #include "fdlibm.h"
  30 #if !__OBSOLETE_MATH
  31
  32 #include <stdint.h>
  33 #include <math.h>
  34 #include "math_config.h"
  35 #include "sincosf.h"
  36
  37 /* The constants and polynomials for sine and cosine.  The 2nd entry
  38    computes -cos (x) rather than cos (x) to get negation for free.  */
  39 const sincos_t __sincosf_table[2] =
  40 {
  41   {
  42     { 1.0, -1.0, -1.0, 1.0 },
  43 #if TOINT_INTRINSICS
  44     0x1.45F306DC9C883p-1,
  45 #else
  46     0x1.45F306DC9C883p+23,
  47 #endif
  48     0x1.921FB54442D18p0,
  49     0x1p0,
  50     -0x1.ffffffd0c621cp-2,
  51     0x1.55553e1068f19p-5,
  52     -0x1.6c087e89a359dp-10,
  53     0x1.99343027bf8c3p-16,
  54     -0x1.555545995a603p-3,
  55     0x1.1107605230bc4p-7,
  56     -0x1.994eb3774cf24p-13
  57   },
  58   {
  59     { 1.0, -1.0, -1.0, 1.0 },
  60 #if TOINT_INTRINSICS
  61     0x1.45F306DC9C883p-1,
  62 #else
  63     0x1.45F306DC9C883p+23,
  64 #endif
  65     0x1.921FB54442D18p0,
  66     -0x1p0,
  67     0x1.ffffffd0c621cp-2,
  68     -0x1.55553e1068f19p-5,
  69     0x1.6c087e89a359dp-10,
  70     -0x1.99343027bf8c3p-16,
  71     -0x1.555545995a603p-3,
  72     0x1.1107605230bc4p-7,
  73     -0x1.994eb3774cf24p-13
  74   }
  75 };
  76
  77 /* Table with 4/PI to 192 bit precision.  To avoid unaligned accesses
  78    only 8 new bits are added per entry, making the table 4 times larger.  */
  79 const uint32_t __inv_pio4[24] =
  80 {
  81   0xa2,       0xa2f9,     0xa2f983,   0xa2f9836e,
  82   0xf9836e4e, 0x836e4e44, 0x6e4e4415, 0x4e441529,
  83   0x441529fc, 0x1529fc27, 0x29fc2757, 0xfc2757d1,
  84   0x2757d1f5, 0x57d1f534, 0xd1f534dd, 0xf534ddc0,
  85   0x34ddc0db, 0xddc0db62, 0xc0db6295, 0xdb629599,
  86   0x6295993c, 0x95993c43, 0x993c4390, 0x3c439041
  87 };
  88
  89 #endif