1*f3087befSAndrew Turner /* 2*f3087befSAndrew Turner * Single-precision vector log function. 3*f3087befSAndrew Turner * 4*f3087befSAndrew Turner * Copyright (c) 2019-2024, Arm Limited. 5*f3087befSAndrew Turner * SPDX-License-Identifier: MIT OR Apache-2.0 WITH LLVM-exception 6*f3087befSAndrew Turner */ 7*f3087befSAndrew Turner #include "v_math.h" 8*f3087befSAndrew Turner #include "test_defs.h" 9*f3087befSAndrew Turner #include "test_sig.h" 10*f3087befSAndrew Turner 11*f3087befSAndrew Turner static const struct data 12*f3087befSAndrew Turner { 13*f3087befSAndrew Turner float32x4_t c2, c4, c6, ln2; 14*f3087befSAndrew Turner uint32x4_t off, offset_lower_bound, mantissa_mask; 15*f3087befSAndrew Turner uint16x8_t special_bound; 16*f3087befSAndrew Turner float c1, c3, c5, c0; 17*f3087befSAndrew Turner } data = { 18*f3087befSAndrew Turner /* 3.34 ulp error. */ 19*f3087befSAndrew Turner .c0 = -0x1.3e737cp-3f, 20*f3087befSAndrew Turner .c1 = 0x1.5a9aa2p-3f, 21*f3087befSAndrew Turner .c2 = V4 (-0x1.4f9934p-3f), 22*f3087befSAndrew Turner .c3 = 0x1.961348p-3f, 23*f3087befSAndrew Turner .c4 = V4 (-0x1.00187cp-2f), 24*f3087befSAndrew Turner .c5 = 0x1.555d7cp-2f, 25*f3087befSAndrew Turner .c6 = V4 (-0x1.ffffc8p-2f), 26*f3087befSAndrew Turner .ln2 = V4 (0x1.62e43p-1f), 27*f3087befSAndrew Turner /* Lower bound is the smallest positive normal float 0x00800000. For 28*f3087befSAndrew Turner optimised register use subnormals are detected after offset has been 29*f3087befSAndrew Turner subtracted, so lower bound is 0x0080000 - offset (which wraps around). */ 30*f3087befSAndrew Turner .offset_lower_bound = V4 (0x00800000 - 0x3f2aaaab), 31*f3087befSAndrew Turner .special_bound = V8 (0x7f00), /* top16(asuint32(inf) - 0x00800000). */ 32*f3087befSAndrew Turner .off = V4 (0x3f2aaaab), /* 0.666667. */ 33*f3087befSAndrew Turner .mantissa_mask = V4 (0x007fffff) 34*f3087befSAndrew Turner }; 35*f3087befSAndrew Turner 36*f3087befSAndrew Turner static float32x4_t VPCS_ATTR NOINLINE 37*f3087befSAndrew Turner special_case (float32x4_t p, uint32x4_t u_off, float32x4_t y, float32x4_t r2, 38*f3087befSAndrew Turner uint16x4_t cmp, const struct data *d) 39*f3087befSAndrew Turner { 40*f3087befSAndrew Turner /* Fall back to scalar code. */ 41*f3087befSAndrew Turner return v_call_f32 (logf, vreinterpretq_f32_u32 (vaddq_u32 (u_off, d->off)), 42*f3087befSAndrew Turner vfmaq_f32 (p, y, r2), vmovl_u16 (cmp)); 43*f3087befSAndrew Turner } 44*f3087befSAndrew Turner 45*f3087befSAndrew Turner float32x4_t VPCS_ATTR NOINLINE V_NAME_F1 (log) (float32x4_t x) 46*f3087befSAndrew Turner { 47*f3087befSAndrew Turner const struct data *d = ptr_barrier (&data); 48*f3087befSAndrew Turner float32x4_t c1350 = vld1q_f32 (&d->c1); 49*f3087befSAndrew Turner 50*f3087befSAndrew Turner /* To avoid having to mov x out of the way, keep u after offset has been 51*f3087befSAndrew Turner applied, and recover x by adding the offset back in the special-case 52*f3087befSAndrew Turner handler. */ 53*f3087befSAndrew Turner uint32x4_t u_off = vsubq_u32 (vreinterpretq_u32_f32 (x), d->off); 54*f3087befSAndrew Turner 55*f3087befSAndrew Turner /* x = 2^n * (1+r), where 2/3 < 1+r < 4/3. */ 56*f3087befSAndrew Turner float32x4_t n = vcvtq_f32_s32 ( 57*f3087befSAndrew Turner vshrq_n_s32 (vreinterpretq_s32_u32 (u_off), 23)); /* signextend. */ 58*f3087befSAndrew Turner uint16x4_t cmp = vcge_u16 (vsubhn_u32 (u_off, d->offset_lower_bound), 59*f3087befSAndrew Turner vget_low_u16 (d->special_bound)); 60*f3087befSAndrew Turner 61*f3087befSAndrew Turner uint32x4_t u = vaddq_u32 (vandq_u32 (u_off, d->mantissa_mask), d->off); 62*f3087befSAndrew Turner float32x4_t r = vsubq_f32 (vreinterpretq_f32_u32 (u), v_f32 (1.0f)); 63*f3087befSAndrew Turner 64*f3087befSAndrew Turner /* y = log(1+r) + n*ln2. */ 65*f3087befSAndrew Turner float32x4_t r2 = vmulq_f32 (r, r); 66*f3087befSAndrew Turner /* n*ln2 + r + r2*(P1 + r*P2 + r2*(P3 + r*P4 + r2*(P5 + r*P6 + r2*P7))). */ 67*f3087befSAndrew Turner float32x4_t p = vfmaq_laneq_f32 (d->c2, r, c1350, 0); 68*f3087befSAndrew Turner float32x4_t q = vfmaq_laneq_f32 (d->c4, r, c1350, 1); 69*f3087befSAndrew Turner float32x4_t y = vfmaq_laneq_f32 (d->c6, r, c1350, 2); 70*f3087befSAndrew Turner p = vfmaq_laneq_f32 (p, r2, c1350, 3); 71*f3087befSAndrew Turner 72*f3087befSAndrew Turner q = vfmaq_f32 (q, p, r2); 73*f3087befSAndrew Turner y = vfmaq_f32 (y, q, r2); 74*f3087befSAndrew Turner p = vfmaq_f32 (r, d->ln2, n); 75*f3087befSAndrew Turner 76*f3087befSAndrew Turner if (unlikely (v_any_u16h (cmp))) 77*f3087befSAndrew Turner return special_case (p, u_off, y, r2, cmp, d); 78*f3087befSAndrew Turner return vfmaq_f32 (p, y, r2); 79*f3087befSAndrew Turner } 80*f3087befSAndrew Turner 81*f3087befSAndrew Turner HALF_WIDTH_ALIAS_F1 (log) 82*f3087befSAndrew Turner 83*f3087befSAndrew Turner TEST_SIG (V, F, 1, log, 0.01, 11.1) 84*f3087befSAndrew Turner TEST_ULP (V_NAME_F1 (log), 2.9) 85*f3087befSAndrew Turner TEST_DISABLE_FENV_IF_NOT (V_NAME_F1 (log), WANT_SIMD_EXCEPT) 86*f3087befSAndrew Turner TEST_INTERVAL (V_NAME_F1 (log), 0, 0xffff0000, 10000) 87*f3087befSAndrew Turner TEST_INTERVAL (V_NAME_F1 (log), 0x1p-4, 0x1p4, 500000) 88*f3087befSAndrew Turner TEST_INTERVAL (V_NAME_F1 (log), 0, inf, 50000) 89