1  /* Compute sine and cosine of argument.
       2     Copyright (C) 2018-2023 Free Software Foundation, Inc.
       3     This file is part of the GNU C Library.
       4  
       5     The GNU C Library is free software; you can redistribute it and/or
       6     modify it under the terms of the GNU Lesser General Public
       7     License as published by the Free Software Foundation; either
       8     version 2.1 of the License, or (at your option) any later version.
       9  
      10     The GNU C Library is distributed in the hope that it will be useful,
      11     but WITHOUT ANY WARRANTY; without even the implied warranty of
      12     MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
      13     Lesser General Public License for more details.
      14  
      15     You should have received a copy of the GNU Lesser General Public
      16     License along with the GNU C Library; if not, see
      17     <https://www.gnu.org/licenses/>.  */
      18  
      19  #include <stdint.h>
      20  #include <math.h>
      21  #include <sysdeps/ieee754/flt-32/math_config.h>
      22  #include <s_sincosf.h>
      23  
      24  /* The constants and polynomials for sine and cosine.  The 2nd entry
      25     computes -cos (x) rather than cos (x) to get negation for free.  */
      26  const sincos_t __sincosf_table[2] =
      27  {
      28    {
      29      { 1.0, -1.0, -1.0, 1.0 },
      30  #if TOINT_INTRINSICS
      31      0x1.45F306DC9C883p-1,
      32  #else
      33      0x1.45F306DC9C883p+23,
      34  #endif
      35      0x1.921FB54442D18p0,
      36      0x1p0,
      37      -0x1.ffffffd0c621cp-2,
      38      { -0x1.555545995a603p-3, 0x1.55553e1068f19p-5 },
      39      { 0x1.1107605230bc4p-7, -0x1.6c087e89a359dp-10 },
      40      { -0x1.994eb3774cf24p-13, 0x1.99343027bf8c3p-16 }
      41    },
      42    {
      43      { 1.0, -1.0, -1.0, 1.0 },
      44  #if TOINT_INTRINSICS
      45      0x1.45F306DC9C883p-1,
      46  #else
      47      0x1.45F306DC9C883p+23,
      48  #endif
      49      0x1.921FB54442D18p0,
      50      -0x1p0,
      51      0x1.ffffffd0c621cp-2,
      52      { -0x1.555545995a603p-3, -0x1.55553e1068f19p-5 },
      53      { 0x1.1107605230bc4p-7, 0x1.6c087e89a359dp-10 },
      54      { -0x1.994eb3774cf24p-13, -0x1.99343027bf8c3p-16 }
      55    }
      56  };
      57  
      58  /* Table with 4/PI to 192 bit precision.  To avoid unaligned accesses
      59     only 8 new bits are added per entry, making the table 4 times larger.  */
      60  const uint32_t __inv_pio4[24] =
      61  {
      62    0xa2,       0xa2f9,	  0xa2f983,   0xa2f9836e,
      63    0xf9836e4e, 0x836e4e44, 0x6e4e4415, 0x4e441529,
      64    0x441529fc, 0x1529fc27, 0x29fc2757, 0xfc2757d1,
      65    0x2757d1f5, 0x57d1f534, 0xd1f534dd, 0xf534ddc0,
      66    0x34ddc0db, 0xddc0db62, 0xc0db6295, 0xdb629599,
      67    0x6295993c, 0x95993c43, 0x993c4390, 0x3c439041
      68  };