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-rw-r--r--math/aarch64/sinpif_2u5.c92
1 files changed, 92 insertions, 0 deletions
diff --git a/math/aarch64/sinpif_2u5.c b/math/aarch64/sinpif_2u5.c
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+/*
+ * 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