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-rw-r--r--math/aarch64/sve/cosf.c82
1 files changed, 82 insertions, 0 deletions
diff --git a/math/aarch64/sve/cosf.c b/math/aarch64/sve/cosf.c
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+++ b/math/aarch64/sve/cosf.c
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+/*
+ * Single-precision SVE cos(x) function.
+ *
+ * Copyright (c) 2019-2024, Arm Limited.
+ * SPDX-License-Identifier: MIT OR Apache-2.0 WITH LLVM-exception
+ */
+
+#include "sv_math.h"
+#include "test_sig.h"
+#include "test_defs.h"
+
+static const struct data
+{
+ float neg_pio2_1, neg_pio2_2, neg_pio2_3, inv_pio2, shift;
+} data = {
+ /* Polynomial coefficients are hard-wired in FTMAD instructions. */
+ .neg_pio2_1 = -0x1.921fb6p+0f,
+ .neg_pio2_2 = 0x1.777a5cp-25f,
+ .neg_pio2_3 = 0x1.ee59dap-50f,
+ .inv_pio2 = 0x1.45f306p-1f,
+ /* Original shift used in AdvSIMD cosf,
+ plus a contribution to set the bit #0 of q
+ as expected by trigonometric instructions. */
+ .shift = 0x1.800002p+23f
+};
+
+#define RangeVal 0x49800000 /* asuint32(0x1p20f). */
+
+static svfloat32_t NOINLINE
+special_case (svfloat32_t x, svfloat32_t y, svbool_t oob)
+{
+ return sv_call_f32 (cosf, x, y, oob);
+}
+
+/* A fast SVE implementation of cosf based on trigonometric
+ instructions (FTMAD, FTSSEL, FTSMUL).
+ Maximum measured error: 2.06 ULPs.
+ SV_NAME_F1 (cos)(0x1.dea2f2p+19) got 0x1.fffe7ap-6
+ want 0x1.fffe76p-6. */
+svfloat32_t SV_NAME_F1 (cos) (svfloat32_t x, const svbool_t pg)
+{
+ const struct data *d = ptr_barrier (&data);
+
+ svfloat32_t r = svabs_x (pg, x);
+ svbool_t oob = svcmpge (pg, svreinterpret_u32 (r), RangeVal);
+
+ /* Load some constants in quad-word chunks to minimise memory access. */
+ svfloat32_t negpio2_and_invpio2 = svld1rq (svptrue_b32 (), &d->neg_pio2_1);
+
+ /* n = rint(|x|/(pi/2)). */
+ svfloat32_t q = svmla_lane (sv_f32 (d->shift), r, negpio2_and_invpio2, 3);
+ svfloat32_t n = svsub_x (pg, q, d->shift);
+
+ /* r = |x| - n*(pi/2) (range reduction into -pi/4 .. pi/4). */
+ r = svmla_lane (r, n, negpio2_and_invpio2, 0);
+ r = svmla_lane (r, n, negpio2_and_invpio2, 1);
+ r = svmla_lane (r, n, negpio2_and_invpio2, 2);
+
+ /* Final multiplicative factor: 1.0 or x depending on bit #0 of q. */
+ svfloat32_t f = svtssel (r, svreinterpret_u32 (q));
+
+ /* cos(r) poly approx. */
+ svfloat32_t r2 = svtsmul (r, svreinterpret_u32 (q));
+ svfloat32_t y = sv_f32 (0.0f);
+ y = svtmad (y, r2, 4);
+ y = svtmad (y, r2, 3);
+ y = svtmad (y, r2, 2);
+ y = svtmad (y, r2, 1);
+ y = svtmad (y, r2, 0);
+
+ if (unlikely (svptest_any (pg, oob)))
+ return special_case (x, svmul_x (svnot_z (pg, oob), f, y), oob);
+ /* Apply factor. */
+ return svmul_x (pg, f, y);
+}
+
+TEST_SIG (SV, F, 1, cos, -3.1, 3.1)
+TEST_ULP (SV_NAME_F1 (cos), 1.57)
+TEST_DISABLE_FENV (SV_NAME_F1 (cos))
+TEST_INTERVAL (SV_NAME_F1 (cos), 0, 0xffff0000, 10000)
+TEST_INTERVAL (SV_NAME_F1 (cos), 0x1p-4, 0x1p4, 500000)
+CLOSE_SVE_ATTR