1 /* origin: FreeBSD /usr/src/lib/msun/src/s_sinf.c */
2 /*
3  * Conversion to float by Ian Lance Taylor, Cygnus Support, [email protected].
4  * Optimized by Bruce D. Evans.
5  */
6 /*
7  * ====================================================
8  * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
9  *
10  * Developed at SunPro, a Sun Microsystems, Inc. business.
11  * Permission to use, copy, modify, and distribute this
12  * software is freely granted, provided that this notice
13  * is preserved.
14  * ====================================================
15  */
16 
17 use super::{k_cosf, k_sinf, rem_pio2f};
18 
19 use core::f64::consts::FRAC_PI_2;
20 
21 /* Small multiples of pi/2 rounded to double precision. */
22 const S1_PIO2: f64 = 1. * FRAC_PI_2; /* 0x3FF921FB, 0x54442D18 */
23 const S2_PIO2: f64 = 2. * FRAC_PI_2; /* 0x400921FB, 0x54442D18 */
24 const S3_PIO2: f64 = 3. * FRAC_PI_2; /* 0x4012D97C, 0x7F3321D2 */
25 const S4_PIO2: f64 = 4. * FRAC_PI_2; /* 0x401921FB, 0x54442D18 */
26 
27 #[cfg_attr(all(test, assert_no_panic), no_panic::no_panic)]
sinf(x: f32) -> f3228 pub fn sinf(x: f32) -> f32 {
29     let x64 = x as f64;
30 
31     let x1p120 = f32::from_bits(0x7b800000); // 0x1p120f === 2 ^ 120
32 
33     let mut ix = x.to_bits();
34     let sign = (ix >> 31) != 0;
35     ix &= 0x7fffffff;
36 
37     if ix <= 0x3f490fda {
38         /* |x| ~<= pi/4 */
39         if ix < 0x39800000 {
40             /* |x| < 2**-12 */
41             /* raise inexact if x!=0 and underflow if subnormal */
42             force_eval!(if ix < 0x00800000 {
43                 x / x1p120
44             } else {
45                 x + x1p120
46             });
47             return x;
48         }
49         return k_sinf(x64);
50     }
51     if ix <= 0x407b53d1 {
52         /* |x| ~<= 5*pi/4 */
53         if ix <= 0x4016cbe3 {
54             /* |x| ~<= 3pi/4 */
55             if sign {
56                 return -k_cosf(x64 + S1_PIO2);
57             } else {
58                 return k_cosf(x64 - S1_PIO2);
59             }
60         }
61         return k_sinf(if sign {
62             -(x64 + S2_PIO2)
63         } else {
64             -(x64 - S2_PIO2)
65         });
66     }
67     if ix <= 0x40e231d5 {
68         /* |x| ~<= 9*pi/4 */
69         if ix <= 0x40afeddf {
70             /* |x| ~<= 7*pi/4 */
71             if sign {
72                 return k_cosf(x64 + S3_PIO2);
73             } else {
74                 return -k_cosf(x64 - S3_PIO2);
75             }
76         }
77         return k_sinf(if sign { x64 + S4_PIO2 } else { x64 - S4_PIO2 });
78     }
79 
80     /* sin(Inf or NaN) is NaN */
81     if ix >= 0x7f800000 {
82         return x - x;
83     }
84 
85     /* general argument reduction needed */
86     let (n, y) = rem_pio2f(x);
87     match n & 3 {
88         0 => k_sinf(y),
89         1 => k_cosf(y),
90         2 => k_sinf(-y),
91         _ => -k_cosf(y),
92     }
93 }
94