1 /* 2 * Single-precision SVE acosh(x) function. 3 * Copyright (c) 2023, Arm Limited. 4 * SPDX-License-Identifier: MIT OR Apache-2.0 WITH LLVM-exception 5 */ 6 7 #include "sv_math.h" 8 #include "pl_sig.h" 9 #include "pl_test.h" 10 11 #define One 0x3f800000 12 #define Thres 0x20000000 /* asuint(0x1p64) - One. */ 13 14 #include "sv_log1pf_inline.h" 15 16 static svfloat32_t NOINLINE 17 special_case (svfloat32_t x, svfloat32_t y, svbool_t special) 18 { 19 return sv_call_f32 (acoshf, x, y, special); 20 } 21 22 /* Single-precision SVE acosh(x) routine. Implements the same algorithm as 23 vector acoshf and log1p. 24 25 Maximum error is 2.78 ULPs: 26 SV_NAME_F1 (acosh) (0x1.01e996p+0) got 0x1.f45b42p-4 27 want 0x1.f45b3cp-4. */ 28 svfloat32_t SV_NAME_F1 (acosh) (svfloat32_t x, const svbool_t pg) 29 { 30 svuint32_t ix = svreinterpret_u32 (x); 31 svbool_t special = svcmpge (pg, svsub_x (pg, ix, One), Thres); 32 33 svfloat32_t xm1 = svsub_x (pg, x, 1.0f); 34 svfloat32_t u = svmul_x (pg, xm1, svadd_x (pg, x, 1.0f)); 35 svfloat32_t y = sv_log1pf_inline (svadd_x (pg, xm1, svsqrt_x (pg, u)), pg); 36 37 if (unlikely (svptest_any (pg, special))) 38 return special_case (x, y, special); 39 return y; 40 } 41 42 PL_SIG (SV, F, 1, acosh, 1.0, 10.0) 43 PL_TEST_ULP (SV_NAME_F1 (acosh), 2.29) 44 PL_TEST_INTERVAL (SV_NAME_F1 (acosh), 0, 1, 500) 45 PL_TEST_INTERVAL (SV_NAME_F1 (acosh), 1, 0x1p64, 100000) 46 PL_TEST_INTERVAL (SV_NAME_F1 (acosh), 0x1p64, inf, 1000) 47 PL_TEST_INTERVAL (SV_NAME_F1 (acosh), -0, -inf, 1000) 48