xref: /freebsd/contrib/arm-optimized-routines/math/sinf.c (revision 7fdf597e96a02165cfe22ff357b857d5fa15ed8a)
1 /*
2  * Single-precision sin function.
3  *
4  * Copyright (c) 2018-2021, Arm Limited.
5  * SPDX-License-Identifier: MIT OR Apache-2.0 WITH LLVM-exception
6  */
7 
8 #include <math.h>
9 #include "math_config.h"
10 #include "sincosf.h"
11 
12 /* Fast sinf implementation.  Worst-case ULP is 0.5607, maximum relative
13    error is 0.5303 * 2^-23.  A single-step range reduction is used for
14    small values.  Large inputs have their range reduced using fast integer
15    arithmetic.  */
16 float
17 sinf (float y)
18 {
19   double x = y;
20   double s;
21   int n;
22   const sincos_t *p = &__sincosf_table[0];
23 
24   if (abstop12 (y) < abstop12 (pio4f))
25     {
26       s = x * x;
27 
28       if (unlikely (abstop12 (y) < abstop12 (0x1p-12f)))
29 	{
30 	  if (unlikely (abstop12 (y) < abstop12 (0x1p-126f)))
31 	    /* Force underflow for tiny y.  */
32 	    force_eval_float (s);
33 	  return y;
34 	}
35 
36       return sinf_poly (x, s, p, 0);
37     }
38   else if (likely (abstop12 (y) < abstop12 (120.0f)))
39     {
40       x = reduce_fast (x, p, &n);
41 
42       /* Setup the signs for sin and cos.  */
43       s = p->sign[n & 3];
44 
45       if (n & 2)
46 	p = &__sincosf_table[1];
47 
48       return sinf_poly (x * s, x * x, p, n);
49     }
50   else if (abstop12 (y) < abstop12 (INFINITY))
51     {
52       uint32_t xi = asuint (y);
53       int sign = xi >> 31;
54 
55       x = reduce_large (xi, &n);
56 
57       /* Setup signs for sin and cos - include original sign.  */
58       s = p->sign[(n + sign) & 3];
59 
60       if ((n + sign) & 2)
61 	p = &__sincosf_table[1];
62 
63       return sinf_poly (x * s, x * x, p, n);
64     }
65   else
66     return __math_invalidf (y);
67 }
68