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Diffstat (limited to 'math/aarch64/sinpif_2u5.c')
-rw-r--r-- | math/aarch64/sinpif_2u5.c | 92 |
1 files changed, 92 insertions, 0 deletions
diff --git a/math/aarch64/sinpif_2u5.c b/math/aarch64/sinpif_2u5.c new file mode 100644 index 000000000000..b5d9cd914577 --- /dev/null +++ b/math/aarch64/sinpif_2u5.c @@ -0,0 +1,92 @@ +/* + * Single-precision scalar sinpi function. + * + * Copyright (c) 2023-2024, Arm Limited. + * SPDX-License-Identifier: MIT OR Apache-2.0 WITH LLVM-exception + */ + +#include "mathlib.h" +#include "math_config.h" +#include "test_sig.h" +#include "test_defs.h" + +/* Taylor series coefficents for sin(pi * x). */ +#define C0 0x1.921fb6p1f +#define C1 -0x1.4abbcep2f +#define C2 0x1.466bc6p1f +#define C3 -0x1.32d2ccp-1f +#define C4 0x1.50783p-4f +#define C5 -0x1.e30750p-8f + +#define Shift 0x1.0p+23f + +/* Approximation for scalar single-precision sinpi(x) - sinpif. + Maximum error: 2.48 ULP: + sinpif(0x1.d062b6p-2) got 0x1.fa8c06p-1 + want 0x1.fa8c02p-1. */ +float +arm_math_sinpif (float x) +{ + if (isinf (x) || isnan (x)) + return __math_invalidf (x); + + float r = asfloat (asuint (x) & ~0x80000000); + uint32_t sign = asuint (x) & 0x80000000; + + /* Edge cases for when sinpif should be exactly 0. (Integers) + 0x1p23 is the limit for single precision to store any decimal places. */ + if (r >= 0x1p23f) + return asfloat (sign); + + int32_t m = roundf (r); + if (m == r) + return asfloat (sign); + + /* For very small inputs, squaring r causes underflow. + Values below this threshold can be approximated via sinpi(x) ~= pi*x. */ + if (r < 0x1p-31f) + return C0 * x; + + /* Any non-integer values >= 0x1p22f will be int + 0.5. + These values should return exactly 1 or -1. */ + if (r >= 0x1p22f) + { + uint32_t iy = ((m & 1) << 31) ^ asuint (-1.0f); + return asfloat (sign ^ iy); + } + + /* n = rint(|x|). */ + float n = r + Shift; + sign ^= (asuint (n) << 31); + n = n - Shift; + + /* r = |x| - n (range reduction into -1/2 .. 1/2). */ + r = r - n; + + /* y = sin(pi * r). */ + float r2 = r * r; + float y = fmaf (C5, r2, C4); + y = fmaf (y, r2, C3); + y = fmaf (y, r2, C2); + y = fmaf (y, r2, C1); + y = fmaf (y, r2, C0); + + /* Copy sign of x to sin(|x|). */ + return asfloat (asuint (y * r) ^ sign); +} + +#if WANT_EXPERIMENTAL_MATH +float +sinpif (float x) +{ + return arm_math_sinpif (x); +} +#endif + +#if WANT_TRIGPI_TESTS +TEST_ULP (arm_math_sinpif, 1.99) +TEST_SYM_INTERVAL (arm_math_sinpif, 0, 0x1p-31, 5000) +TEST_SYM_INTERVAL (arm_math_sinpif, 0x1p-31, 0.5, 10000) +TEST_SYM_INTERVAL (arm_math_sinpif, 0.5, 0x1p22f, 10000) +TEST_SYM_INTERVAL (arm_math_sinpif, 0x1p22f, inf, 10000) +#endif |