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-rw-r--r--math/aarch64/advsimd/expf.c130
1 files changed, 130 insertions, 0 deletions
diff --git a/math/aarch64/advsimd/expf.c b/math/aarch64/advsimd/expf.c
new file mode 100644
index 000000000000..e5b1f020d1a0
--- /dev/null
+++ b/math/aarch64/advsimd/expf.c
@@ -0,0 +1,130 @@
+/*
+ * Single-precision vector e^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"
+#include "test_sig.h"
+
+static const struct data
+{
+ float32x4_t c1, c3, c4, inv_ln2;
+ float ln2_hi, ln2_lo, c0, c2;
+ uint32x4_t exponent_bias, special_offset, special_bias;
+#if !WANT_SIMD_EXCEPT
+ float32x4_t special_bound, scale_thresh;
+#endif
+} data = {
+ /* maxerr: 1.45358 +0.5 ulp. */
+ .c0 = 0x1.0e4020p-7f,
+ .c1 = V4 (0x1.573e2ep-5f),
+ .c2 = 0x1.555e66p-3f,
+ .c3 = V4 (0x1.fffdb6p-2f),
+ .c4 = V4 (0x1.ffffecp-1f),
+ .inv_ln2 = V4 (0x1.715476p+0f),
+ .ln2_hi = 0x1.62e4p-1f,
+ .ln2_lo = 0x1.7f7d1cp-20f,
+ .exponent_bias = V4 (0x3f800000),
+ .special_offset = V4 (0x82000000),
+ .special_bias = V4 (0x7f000000),
+#if !WANT_SIMD_EXCEPT
+ .special_bound = V4 (126.0f),
+ .scale_thresh = V4 (192.0f),
+#endif
+};
+
+#define C(i) d->poly[i]
+
+#if WANT_SIMD_EXCEPT
+
+# define TinyBound v_u32 (0x20000000) /* asuint (0x1p-63). */
+# define BigBound v_u32 (0x42800000) /* asuint (0x1p6). */
+# define SpecialBound v_u32 (0x22800000) /* BigBound - TinyBound. */
+
+static float32x4_t VPCS_ATTR NOINLINE
+special_case (float32x4_t x, float32x4_t y, uint32x4_t cmp)
+{
+ /* If fenv exceptions are to be triggered correctly, fall back to the scalar
+ routine to special lanes. */
+ return v_call_f32 (expf, x, y, cmp);
+}
+
+#else
+
+static float32x4_t VPCS_ATTR NOINLINE
+special_case (float32x4_t poly, float32x4_t n, uint32x4_t e, uint32x4_t cmp1,
+ float32x4_t scale, 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 cmp2 = vcagtq_f32 (n, d->scale_thresh);
+ float32x4_t r2 = vmulq_f32 (s1, s1);
+ // (s2 + p*s2)*s1 = s2(p+1)s1
+ float32x4_t r1 = vmulq_f32 (vfmaq_f32 (s2, poly, s2), s1);
+ /* Similar to r1 but avoids double rounding in the subnormal range. */
+ float32x4_t r0 = vfmaq_f32 (scale, poly, scale);
+ float32x4_t r = vbslq_f32 (cmp1, r1, r0);
+ return vbslq_f32 (cmp2, r2, r);
+}
+
+#endif
+
+float32x4_t VPCS_ATTR NOINLINE V_NAME_F1 (exp) (float32x4_t x)
+{
+ const struct data *d = ptr_barrier (&data);
+ float32x4_t ln2_c02 = vld1q_f32 (&d->ln2_hi);
+
+#if WANT_SIMD_EXCEPT
+ /* asuint(x) - TinyBound >= BigBound - TinyBound. */
+ uint32x4_t cmp = vcgeq_u32 (
+ vsubq_u32 (vandq_u32 (vreinterpretq_u32_f32 (x), v_u32 (0x7fffffff)),
+ TinyBound),
+ SpecialBound);
+ float32x4_t xm = x;
+ /* If any lanes are special, mask them with 1 and retain a copy of x to allow
+ special case handler to fix special lanes later. This is only necessary if
+ fenv exceptions are to be triggered correctly. */
+ if (unlikely (v_any_u32 (cmp)))
+ x = vbslq_f32 (cmp, v_f32 (1), x);
+#endif
+
+ /* exp(x) = 2^n (1 + poly(r)), with 1 + poly(r) in [1/sqrt(2),sqrt(2)]
+ x = ln2*n + r, with r in [-ln2/2, ln2/2]. */
+ float32x4_t n = vrndaq_f32 (vmulq_f32 (x, d->inv_ln2));
+ float32x4_t r = vfmsq_laneq_f32 (x, n, ln2_c02, 0);
+ r = vfmsq_laneq_f32 (r, n, ln2_c02, 1);
+ uint32x4_t e = vshlq_n_u32 (vreinterpretq_u32_s32 (vcvtq_s32_f32 (n)), 23);
+ float32x4_t scale = vreinterpretq_f32_u32 (vaddq_u32 (e, d->exponent_bias));
+
+#if !WANT_SIMD_EXCEPT
+ uint32x4_t cmp = vcagtq_f32 (n, d->special_bound);
+#endif
+
+ float32x4_t r2 = vmulq_f32 (r, r);
+ float32x4_t p = vfmaq_laneq_f32 (d->c1, r, ln2_c02, 2);
+ float32x4_t q = vfmaq_laneq_f32 (d->c3, r, ln2_c02, 3);
+ q = vfmaq_f32 (q, p, r2);
+ p = vmulq_f32 (d->c4, r);
+ float32x4_t poly = vfmaq_f32 (p, q, r2);
+
+ if (unlikely (v_any_u32 (cmp)))
+#if WANT_SIMD_EXCEPT
+ return special_case (xm, vfmaq_f32 (scale, poly, scale), cmp);
+#else
+ return special_case (poly, n, e, cmp, scale, d);
+#endif
+
+ return vfmaq_f32 (scale, poly, scale);
+}
+
+HALF_WIDTH_ALIAS_F1 (exp)
+
+TEST_SIG (V, F, 1, exp, -9.9, 9.9)
+TEST_ULP (V_NAME_F1 (exp), 1.49)
+TEST_DISABLE_FENV_IF_NOT (V_NAME_F1 (exp), WANT_SIMD_EXCEPT)
+TEST_INTERVAL (V_NAME_F1 (exp), 0, 0xffff0000, 10000)
+TEST_SYM_INTERVAL (V_NAME_F1 (exp), 0x1p-14, 0x1p8, 500000)