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Diffstat (limited to 'math/aarch64/advsimd/exp2f_1u.c')
-rw-r--r--math/aarch64/advsimd/exp2f_1u.c73
1 files changed, 73 insertions, 0 deletions
diff --git a/math/aarch64/advsimd/exp2f_1u.c b/math/aarch64/advsimd/exp2f_1u.c
new file mode 100644
index 000000000000..1f8e89ab658f
--- /dev/null
+++ b/math/aarch64/advsimd/exp2f_1u.c
@@ -0,0 +1,73 @@
+/*
+ * Single-precision vector 2^x function.
+ *
+ * Copyright (c) 2019-2024, Arm Limited.
+ * SPDX-License-Identifier: MIT OR Apache-2.0 WITH LLVM-exception
+ */
+
+#include "v_math.h"
+#include "test_defs.h"
+
+static const struct data
+{
+ float32x4_t c0, c1, c2, c3, c4, c5, shift;
+ uint32x4_t exponent_bias;
+ float32x4_t special_bound, scale_thresh;
+ uint32x4_t special_offset, special_bias;
+} data = {
+ .shift = V4 (0x1.8p23f),
+ .exponent_bias = V4 (0x3f800000),
+ .special_bound = V4 (126.0f),
+ .scale_thresh = V4 (192.0f),
+ .special_offset = V4 (0x82000000),
+ .special_bias = V4 (0x7f000000),
+ /* maxerr: 0.878 ulp. */
+ .c0 = V4 (0x1.416b5ep-13f),
+ .c1 = V4 (0x1.5f082ep-10f),
+ .c2 = V4 (0x1.3b2dep-7f),
+ .c3 = V4 (0x1.c6af7cp-5f),
+ .c4 = V4 (0x1.ebfbdcp-3f),
+ .c5 = V4 (0x1.62e43p-1f),
+};
+
+static float32x4_t VPCS_ATTR NOINLINE
+specialcase (float32x4_t p, float32x4_t n, uint32x4_t e, const struct data *d)
+{
+ /* 2^n may overflow, break it up into s1*s2. */
+ uint32x4_t b = vandq_u32 (vclezq_f32 (n), d->special_offset);
+ float32x4_t s1 = vreinterpretq_f32_u32 (vaddq_u32 (b, d->special_bias));
+ float32x4_t s2 = vreinterpretq_f32_u32 (vsubq_u32 (e, b));
+ uint32x4_t cmp = vcagtq_f32 (n, d->scale_thresh);
+ float32x4_t r1 = vmulq_f32 (s1, s1);
+ float32x4_t r0 = vmulq_f32 (vmulq_f32 (p, s1), s2);
+ return vreinterpretq_f32_u32 ((cmp & vreinterpretq_u32_f32 (r1))
+ | (~cmp & vreinterpretq_u32_f32 (r0)));
+}
+
+float32x4_t VPCS_ATTR
+_ZGVnN4v_exp2f_1u (float32x4_t x)
+{
+ /* exp2(x) = 2^n * poly(r), with poly(r) in [1/sqrt(2),sqrt(2)]
+ x = n + r, with r in [-1/2, 1/2]. */
+ const struct data *d = ptr_barrier (&data);
+ float32x4_t n = vrndaq_f32 (x);
+ float32x4_t r = x - n;
+ uint32x4_t e = vreinterpretq_u32_s32 (vcvtaq_s32_f32 (x)) << 23;
+ float32x4_t scale = vreinterpretq_f32_u32 (e + d->exponent_bias);
+ uint32x4_t cmp = vcagtq_f32 (n, d->special_bound);
+
+ float32x4_t p = vfmaq_f32 (d->c1, d->c0, r);
+ p = vfmaq_f32 (d->c2, p, r);
+ p = vfmaq_f32 (d->c3, p, r);
+ p = vfmaq_f32 (d->c4, p, r);
+ p = vfmaq_f32 (d->c5, p, r);
+ p = vfmaq_f32 (v_f32 (1.0f), p, r);
+ if (unlikely (v_any_u32 (cmp)))
+ return specialcase (p, n, e, d);
+ return scale * p;
+}
+
+TEST_ULP (_ZGVnN4v_exp2f_1u, 0.4)
+TEST_DISABLE_FENV (_ZGVnN4v_exp2f_1u)
+TEST_INTERVAL (_ZGVnN4v_exp2f_1u, 0, 0xffff0000, 10000)
+TEST_SYM_INTERVAL (_ZGVnN4v_exp2f_1u, 0x1p-14, 0x1p8, 500000)