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-rw-r--r--pl/math/v_sinhf_2u3.c69
1 files changed, 69 insertions, 0 deletions
diff --git a/pl/math/v_sinhf_2u3.c b/pl/math/v_sinhf_2u3.c
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+++ b/pl/math/v_sinhf_2u3.c
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+/*
+ * Single-precision vector sinh(x) function.
+ *
+ * Copyright (c) 2022-2023, Arm Limited.
+ * SPDX-License-Identifier: MIT OR Apache-2.0 WITH LLVM-exception
+ */
+
+#include "v_math.h"
+#include "pl_sig.h"
+#include "pl_test.h"
+
+#if V_SUPPORTED
+
+#include "v_expm1f_inline.h"
+
+#define AbsMask 0x7fffffff
+#define Half 0x3f000000
+#define BigBound \
+ 0x42b0c0a7 /* 0x1.61814ep+6, above which expm1f helper overflows. */
+#define TinyBound \
+ 0x2fb504f4 /* 0x1.6a09e8p-32, below which expm1f underflows. */
+
+static NOINLINE VPCS_ATTR v_f32_t
+special_case (v_f32_t x)
+{
+ return v_call_f32 (sinhf, x, x, v_u32 (-1));
+}
+
+/* Approximation for vector single-precision sinh(x) using expm1.
+ sinh(x) = (exp(x) - exp(-x)) / 2.
+ The maximum error is 2.26 ULP:
+ __v_sinhf(0x1.e34a9ep-4) got 0x1.e469ep-4 want 0x1.e469e4p-4. */
+VPCS_ATTR v_f32_t V_NAME (sinhf) (v_f32_t x)
+{
+ v_u32_t ix = v_as_u32_f32 (x);
+ v_u32_t iax = ix & AbsMask;
+ v_f32_t ax = v_as_f32_u32 (iax);
+ v_u32_t sign = ix & ~AbsMask;
+ v_f32_t halfsign = v_as_f32_u32 (sign | Half);
+
+#if WANT_SIMD_EXCEPT
+ v_u32_t special = v_cond_u32 ((iax - TinyBound) >= (BigBound - TinyBound));
+#else
+ v_u32_t special = v_cond_u32 (iax >= BigBound);
+#endif
+
+ /* Fall back to the scalar variant for all lanes if any of them should trigger
+ an exception. */
+ if (unlikely (v_any_u32 (special)))
+ return special_case (x);
+
+ /* Up to the point that expm1f overflows, we can use it to calculate sinhf
+ using a slight rearrangement of the definition of asinh. This allows us to
+ retain acceptable accuracy for very small inputs. */
+ v_f32_t t = expm1f_inline (ax);
+ return (t + t / (t + 1)) * halfsign;
+}
+VPCS_ALIAS
+
+PL_SIG (V, F, 1, sinh, -10.0, 10.0)
+PL_TEST_ULP (V_NAME (sinhf), 1.76)
+PL_TEST_EXPECT_FENV (V_NAME (sinhf), WANT_SIMD_EXCEPT)
+PL_TEST_INTERVAL (V_NAME (sinhf), 0, TinyBound, 1000)
+PL_TEST_INTERVAL (V_NAME (sinhf), -0, -TinyBound, 1000)
+PL_TEST_INTERVAL (V_NAME (sinhf), TinyBound, BigBound, 100000)
+PL_TEST_INTERVAL (V_NAME (sinhf), -TinyBound, -BigBound, 100000)
+PL_TEST_INTERVAL (V_NAME (sinhf), BigBound, inf, 1000)
+PL_TEST_INTERVAL (V_NAME (sinhf), -BigBound, -inf, 1000)
+#endif