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-rw-r--r--pl/math/v_asinhf_2u7.c70
1 files changed, 70 insertions, 0 deletions
diff --git a/pl/math/v_asinhf_2u7.c b/pl/math/v_asinhf_2u7.c
new file mode 100644
index 0000000..9d8c8a9
--- /dev/null
+++ b/pl/math/v_asinhf_2u7.c
@@ -0,0 +1,70 @@
+/*
+ * Single-precision vector asinh(x) function.
+ *
+ * Copyright (c) 2022-2023, Arm Limited.
+ * SPDX-License-Identifier: MIT OR Apache-2.0 WITH LLVM-exception
+ */
+
+#include "v_math.h"
+#include "include/mathlib.h"
+#include "pl_sig.h"
+#include "pl_test.h"
+
+#if V_SUPPORTED
+
+#define SignMask v_u32 (0x80000000)
+#define One v_f32 (1.0f)
+#define BigBound v_u32 (0x5f800000) /* asuint(0x1p64). */
+#define TinyBound v_u32 (0x30800000) /* asuint(0x1p-30). */
+
+#include "v_log1pf_inline.h"
+
+static NOINLINE v_f32_t
+specialcase (v_f32_t x, v_f32_t y, v_u32_t special)
+{
+ return v_call_f32 (asinhf, x, y, special);
+}
+
+/* Single-precision implementation of vector asinh(x), using vector log1p.
+ Worst-case error is 2.66 ULP, at roughly +/-0.25:
+ __v_asinhf(0x1.01b04p-2) got 0x1.fe163ep-3 want 0x1.fe1638p-3. */
+VPCS_ATTR v_f32_t V_NAME (asinhf) (v_f32_t x)
+{
+ v_u32_t ix = v_as_u32_f32 (x);
+ v_u32_t iax = ix & ~SignMask;
+ v_u32_t sign = ix & SignMask;
+ v_f32_t ax = v_as_f32_u32 (iax);
+ v_u32_t special = v_cond_u32 (iax >= BigBound);
+
+#if WANT_SIMD_EXCEPT
+ /* Sidestep tiny and large values to avoid inadvertently triggering
+ under/overflow. */
+ special |= v_cond_u32 (iax < TinyBound);
+ if (unlikely (v_any_u32 (special)))
+ ax = v_sel_f32 (special, One, ax);
+#endif
+
+ /* asinh(x) = log(x + sqrt(x * x + 1)).
+ For positive x, asinh(x) = log1p(x + x * x / (1 + sqrt(x * x + 1))). */
+ v_f32_t d = One + v_sqrt_f32 (ax * ax + One);
+ v_f32_t y = log1pf_inline (ax + ax * ax / d);
+ y = v_as_f32_u32 (sign | v_as_u32_f32 (y));
+
+ if (unlikely (v_any_u32 (special)))
+ return specialcase (x, y, special);
+ return y;
+}
+VPCS_ALIAS
+
+PL_SIG (V, F, 1, asinh, -10.0, 10.0)
+PL_TEST_ULP (V_NAME (asinhf), 2.17)
+PL_TEST_EXPECT_FENV (V_NAME (asinhf), WANT_SIMD_EXCEPT)
+PL_TEST_INTERVAL (V_NAME (asinhf), 0, 0x1p-12, 40000)
+PL_TEST_INTERVAL (V_NAME (asinhf), 0x1p-12, 1.0, 40000)
+PL_TEST_INTERVAL (V_NAME (asinhf), 1.0, 0x1p11, 40000)
+PL_TEST_INTERVAL (V_NAME (asinhf), 0x1p11, inf, 40000)
+PL_TEST_INTERVAL (V_NAME (asinhf), 0, -0x1p-12, 20000)
+PL_TEST_INTERVAL (V_NAME (asinhf), -0x1p-12, -1.0, 20000)
+PL_TEST_INTERVAL (V_NAME (asinhf), -1.0, -0x1p11, 20000)
+PL_TEST_INTERVAL (V_NAME (asinhf), -0x1p11, -inf, 20000)
+#endif