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-rw-r--r--pl/math/v_coshf_2u4.c74
1 files changed, 74 insertions, 0 deletions
diff --git a/pl/math/v_coshf_2u4.c b/pl/math/v_coshf_2u4.c
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+++ b/pl/math/v_coshf_2u4.c
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+/*
+ * Single-precision vector cosh(x) function.
+ *
+ * Copyright (c) 2022-2023, Arm Limited.
+ * SPDX-License-Identifier: MIT OR Apache-2.0 WITH LLVM-exception
+ */
+
+#include "v_math.h"
+#include "mathlib.h"
+#include "pl_sig.h"
+#include "pl_test.h"
+
+#define AbsMask 0x7fffffff
+#define TinyBound 0x20000000 /* 0x1p-63: Round to 1 below this. */
+#define SpecialBound \
+ 0x42ad496c /* 0x1.5a92d8p+6: expf overflows above this, so have to use \
+ special case. */
+#define Half v_f32 (0.5)
+
+#if V_SUPPORTED
+
+v_f32_t V_NAME (expf) (v_f32_t);
+
+/* Single-precision vector cosh, using vector expf.
+ Maximum error is 2.38 ULP:
+ __v_coshf(0x1.e8001ep+1) got 0x1.6a491ep+4 want 0x1.6a4922p+4. */
+VPCS_ATTR v_f32_t V_NAME (coshf) (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 special = v_cond_u32 (iax >= SpecialBound);
+
+#if WANT_SIMD_EXCEPT
+ /* If fp exceptions are to be triggered correctly, fall back to the scalar
+ variant for all inputs if any input is a special value or above the bound
+ at which expf overflows. */
+ if (unlikely (v_any_u32 (special)))
+ return v_call_f32 (coshf, x, x, v_u32 (-1));
+
+ v_u32_t tiny = v_cond_u32 (iax <= TinyBound);
+ /* If any input is tiny, avoid underflow exception by fixing tiny lanes of
+ input to 1, which will generate no exceptions, and then also fixing tiny
+ lanes of output to 1 just before return. */
+ if (unlikely (v_any_u32 (tiny)))
+ ax = v_sel_f32 (tiny, v_f32 (1), ax);
+#endif
+
+ /* Calculate cosh by exp(x) / 2 + exp(-x) / 2. */
+ v_f32_t t = V_NAME (expf) (ax);
+ v_f32_t y = t * Half + Half / t;
+
+#if WANT_SIMD_EXCEPT
+ if (unlikely (v_any_u32 (tiny)))
+ return v_sel_f32 (tiny, v_f32 (1), y);
+#else
+ if (unlikely (v_any_u32 (special)))
+ return v_call_f32 (coshf, x, y, special);
+#endif
+
+ return y;
+}
+VPCS_ALIAS
+
+PL_SIG (V, F, 1, cosh, -10.0, 10.0)
+PL_TEST_ULP (V_NAME (coshf), 1.89)
+PL_TEST_EXPECT_FENV (V_NAME (coshf), WANT_SIMD_EXCEPT)
+PL_TEST_INTERVAL (V_NAME (coshf), 0, 0x1p-63, 100)
+PL_TEST_INTERVAL (V_NAME (coshf), 0, 0x1.5a92d8p+6, 80000)
+PL_TEST_INTERVAL (V_NAME (coshf), 0x1.5a92d8p+6, inf, 2000)
+PL_TEST_INTERVAL (V_NAME (coshf), -0, -0x1p-63, 100)
+PL_TEST_INTERVAL (V_NAME (coshf), -0, -0x1.5a92d8p+6, 80000)
+PL_TEST_INTERVAL (V_NAME (coshf), -0x1.5a92d8p+6, -inf, 2000)
+#endif