diff options
Diffstat (limited to 'math/v_exp.c')
-rw-r--r-- | math/v_exp.c | 128 |
1 files changed, 0 insertions, 128 deletions
diff --git a/math/v_exp.c b/math/v_exp.c deleted file mode 100644 index da23fd1c5f46..000000000000 --- a/math/v_exp.c +++ /dev/null @@ -1,128 +0,0 @@ -/* - * Double-precision vector e^x function. - * - * Copyright (c) 2019-2022, Arm Limited. - * SPDX-License-Identifier: MIT OR Apache-2.0 WITH LLVM-exception - */ - -#include "mathlib.h" -#include "v_math.h" -#if V_SUPPORTED -#include "v_exp.h" - -#if V_EXP_TABLE_BITS == 7 -/* maxerr: 1.88 +0.5 ulp - rel error: 1.4337*2^-53 - abs error: 1.4299*2^-53 in [ -ln2/256, ln2/256 ]. */ -#define C1 v_f64 (0x1.ffffffffffd43p-2) -#define C2 v_f64 (0x1.55555c75adbb2p-3) -#define C3 v_f64 (0x1.55555da646206p-5) -#define InvLn2 v_f64 (0x1.71547652b82fep7) /* N/ln2. */ -#define Ln2hi v_f64 (0x1.62e42fefa39efp-8) /* ln2/N. */ -#define Ln2lo v_f64 (0x1.abc9e3b39803f3p-63) -#elif V_EXP_TABLE_BITS == 8 -/* maxerr: 0.54 +0.5 ulp - rel error: 1.4318*2^-58 - abs error: 1.4299*2^-58 in [ -ln2/512, ln2/512 ]. */ -#define C1 v_f64 (0x1.fffffffffffd4p-2) -#define C2 v_f64 (0x1.5555571d6b68cp-3) -#define C3 v_f64 (0x1.5555576a59599p-5) -#define InvLn2 v_f64 (0x1.71547652b82fep8) -#define Ln2hi v_f64 (0x1.62e42fefa39efp-9) -#define Ln2lo v_f64 (0x1.abc9e3b39803f3p-64) -#endif - -#define N (1 << V_EXP_TABLE_BITS) -#define Tab __v_exp_data -#define IndexMask v_u64 (N - 1) -#define Shift v_f64 (0x1.8p+52) - -#if WANT_SIMD_EXCEPT - -#define TinyBound 0x200 /* top12 (asuint64 (0x1p-511)). */ -#define BigBound 0x408 /* top12 (asuint64 (0x1p9)). */ - -VPCS_ATTR static NOINLINE v_f64_t -specialcase (v_f64_t x, v_f64_t y, v_u64_t cmp) -{ - /* If fenv exceptions are to be triggered correctly, fall back to the scalar - routine to special lanes. */ - return v_call_f64 (exp, x, y, cmp); -} - -#else - -#define Thres v_f64 (704.0) - -VPCS_ATTR -static v_f64_t -specialcase (v_f64_t s, v_f64_t y, v_f64_t n) -{ - v_f64_t absn = v_abs_f64 (n); - - /* 2^(n/N) may overflow, break it up into s1*s2. */ - v_u64_t b = v_cond_u64 (n <= v_f64 (0.0)) & v_u64 (0x6000000000000000); - v_f64_t s1 = v_as_f64_u64 (v_u64 (0x7000000000000000) - b); - v_f64_t s2 = v_as_f64_u64 (v_as_u64_f64 (s) - v_u64 (0x3010000000000000) + b); - v_u64_t cmp = v_cond_u64 (absn > v_f64 (1280.0 * N)); - v_f64_t r1 = s1 * s1; - v_f64_t r0 = v_fma_f64 (y, s2, s2) * s1; - return v_as_f64_u64 ((cmp & v_as_u64_f64 (r1)) | (~cmp & v_as_u64_f64 (r0))); -} - -#endif - -VPCS_ATTR -v_f64_t -V_NAME(exp) (v_f64_t x) -{ - v_f64_t n, r, r2, s, y, z; - v_u64_t cmp, u, e, i; - -#if WANT_SIMD_EXCEPT - /* If any lanes are special, mask them with 1 and retain a copy of x to allow - specialcase to fix special lanes later. This is only necessary if fenv - exceptions are to be triggered correctly. */ - v_f64_t xm = x; - cmp = v_cond_u64 ((v_as_u64_f64 (v_abs_f64 (x)) >> 52) - TinyBound - >= BigBound - TinyBound); - if (unlikely (v_any_u64 (cmp))) - x = v_sel_f64 (cmp, v_f64 (1), x); -#else - cmp = v_cond_u64 (v_abs_f64 (x) > Thres); -#endif - - /* n = round(x/(ln2/N)). */ - z = v_fma_f64 (x, InvLn2, Shift); - u = v_as_u64_f64 (z); - n = z - Shift; - - /* r = x - n*ln2/N. */ - r = x; - r = v_fma_f64 (-Ln2hi, n, r); - r = v_fma_f64 (-Ln2lo, n, r); - - e = u << (52 - V_EXP_TABLE_BITS); - i = u & IndexMask; - - /* y = exp(r) - 1 ~= r + C1 r^2 + C2 r^3 + C3 r^4. */ - r2 = r * r; - y = v_fma_f64 (C2, r, C1); - y = v_fma_f64 (C3, r2, y); - y = v_fma_f64 (y, r2, r); - - /* s = 2^(n/N). */ - u = v_lookup_u64 (Tab, i); - s = v_as_f64_u64 (u + e); - - if (unlikely (v_any_u64 (cmp))) -#if WANT_SIMD_EXCEPT - return specialcase (xm, v_fma_f64 (y, s, s), cmp); -#else - return specialcase (s, y, n); -#endif - - return v_fma_f64 (y, s, s); -} -VPCS_ALIAS -#endif |