1 /* 2 * Single-precision sin function. 3 * 4 * Copyright (c) 2018-2024, 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 #include "test_defs.h" 12 #include "test_sig.h" 13 14 /* Fast sinf implementation. Worst-case ULP is 0.5607, maximum relative 15 error is 0.5303 * 2^-23. A single-step range reduction is used for 16 small values. Large inputs have their range reduced using fast integer 17 arithmetic. */ 18 float 19 sinf (float y) 20 { 21 double x = y; 22 double s; 23 int n; 24 const sincos_t *p = &__sincosf_table[0]; 25 26 if (abstop12 (y) < abstop12 (pio4f)) 27 { 28 s = x * x; 29 30 if (unlikely (abstop12 (y) < abstop12 (0x1p-12f))) 31 { 32 if (unlikely (abstop12 (y) < abstop12 (0x1p-126f))) 33 /* Force underflow for tiny y. */ 34 force_eval_float (s); 35 return y; 36 } 37 38 return sinf_poly (x, s, p, 0); 39 } 40 else if (likely (abstop12 (y) < abstop12 (120.0f))) 41 { 42 x = reduce_fast (x, p, &n); 43 44 /* Setup the signs for sin and cos. */ 45 s = p->sign[n & 3]; 46 47 if (n & 2) 48 p = &__sincosf_table[1]; 49 50 return sinf_poly (x * s, x * x, p, n); 51 } 52 else if (abstop12 (y) < abstop12 (INFINITY)) 53 { 54 uint32_t xi = asuint (y); 55 int sign = xi >> 31; 56 57 x = reduce_large (xi, &n); 58 59 /* Setup signs for sin and cos - include original sign. */ 60 s = p->sign[(n + sign) & 3]; 61 62 if ((n + sign) & 2) 63 p = &__sincosf_table[1]; 64 65 return sinf_poly (x * s, x * x, p, n); 66 } 67 else 68 return __math_invalidf (y); 69 } 70 71 TEST_SIG (S, F, 1, sin, -3.1, 3.1) 72 TEST_ULP (sinf, 0.06) 73 TEST_ULP_NONNEAREST (sinf, 0.5) 74 TEST_INTERVAL (sinf, 0, 0xffff0000, 10000) 75 TEST_SYM_INTERVAL (sinf, 0x1p-14, 0x1p54, 50000) 76