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-rw-r--r--pl/math/sv_cospif_2u6.c65
1 files changed, 65 insertions, 0 deletions
diff --git a/pl/math/sv_cospif_2u6.c b/pl/math/sv_cospif_2u6.c
new file mode 100644
index 0000000..33ab8e0
--- /dev/null
+++ b/pl/math/sv_cospif_2u6.c
@@ -0,0 +1,65 @@
+/*
+ * Single-precision SVE cospi(x) function.
+ *
+ * Copyright (c) 2023, Arm Limited.
+ * SPDX-License-Identifier: MIT OR Apache-2.0 WITH LLVM-exception
+ */
+
+#include "mathlib.h"
+#include "sv_math.h"
+#include "pl_sig.h"
+#include "pl_test.h"
+#include "poly_sve_f32.h"
+
+static const struct data
+{
+ float poly[6];
+ float range_val;
+} data = {
+ /* Taylor series coefficents for sin(pi * x). */
+ .poly = { 0x1.921fb6p1f, -0x1.4abbcep2f, 0x1.466bc6p1f, -0x1.32d2ccp-1f,
+ 0x1.50783p-4f, -0x1.e30750p-8f },
+ .range_val = 0x1p31f,
+};
+
+/* A fast SVE implementation of cospif.
+ Maximum error: 2.60 ULP:
+ _ZGVsMxv_cospif(+/-0x1.cae664p-4) got 0x1.e09c9ep-1
+ want 0x1.e09c98p-1. */
+svfloat32_t SV_NAME_F1 (cospi) (svfloat32_t x, const svbool_t pg)
+{
+ const struct data *d = ptr_barrier (&data);
+
+ /* Using cospi(x) = sinpi(0.5 - x)
+ range reduction and offset into sinpi range -1/2 .. 1/2
+ r = 0.5 - |x - rint(x)|. */
+ svfloat32_t n = svrinta_x (pg, x);
+ svfloat32_t r = svsub_x (pg, x, n);
+ r = svsub_x (pg, sv_f32 (0.5f), svabs_x (pg, r));
+
+ /* Result should be negated based on if n is odd or not.
+ If ax >= 2^31, the result will always be positive. */
+ svbool_t cmp = svaclt (pg, x, d->range_val);
+ svuint32_t intn = svreinterpret_u32 (svcvt_s32_x (pg, n));
+ svuint32_t sign = svlsl_z (cmp, intn, 31);
+
+ /* y = sin(r). */
+ svfloat32_t r2 = svmul_x (pg, r, r);
+ svfloat32_t y = sv_horner_5_f32_x (pg, r2, d->poly);
+ y = svmul_x (pg, y, r);
+
+ return svreinterpret_f32 (sveor_x (pg, svreinterpret_u32 (y), sign));
+}
+
+PL_SIG (SV, F, 1, cospi, -0.9, 0.9)
+PL_TEST_ULP (SV_NAME_F1 (cospi), 2.08)
+PL_TEST_INTERVAL (SV_NAME_F1 (cospi), 0, 0x1p-31, 5000)
+PL_TEST_INTERVAL (SV_NAME_F1 (cospi), -0, -0x1p-31, 5000)
+PL_TEST_INTERVAL (SV_NAME_F1 (cospi), 0x1p-31, 0.5, 10000)
+PL_TEST_INTERVAL (SV_NAME_F1 (cospi), -0x1p-31, -0.5, 10000)
+PL_TEST_INTERVAL (SV_NAME_F1 (cospi), 0.5, 0x1p31f, 10000)
+PL_TEST_INTERVAL (SV_NAME_F1 (cospi), -0.5, -0x1p31f, 10000)
+PL_TEST_INTERVAL (SV_NAME_F1 (cospi), 0x1p31f, inf, 10000)
+PL_TEST_INTERVAL (SV_NAME_F1 (cospi), -0x1p31f, -inf, 10000)
+PL_TEST_INTERVAL (SV_NAME_F1 (cospi), inf, inf, 1)
+PL_TEST_INTERVAL (SV_NAME_F1 (cospi), -inf, -inf, 1) \ No newline at end of file