/* SPDX-License-Identifier: MIT * * Permission is hereby granted, free of charge, to any person * obtaining a copy of this software and associated documentation * files (the "Software"), to deal in the Software without * restriction, including without limitation the rights to use, copy, * modify, merge, publish, distribute, sublicense, and/or sell copies * of the Software, and to permit persons to whom the Software is * furnished to do so, subject to the following conditions: * * The above copyright notice and this permission notice shall be * included in all copies or substantial portions of the Software. * * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, * EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF * MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND * NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS * BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN * ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN * CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE * SOFTWARE. * * Copyright: * 2020 Evan Nemerson * 2021 Zhi An Ng (Copyright owned by Google, LLC) * 2023 Yi-Yen Chung (Copyright owned by Andes Technology) */ #if !defined(SIMDE_ARM_NEON_RECPE_H) #define SIMDE_ARM_NEON_RECPE_H #include "types.h" HEDLEY_DIAGNOSTIC_PUSH SIMDE_DISABLE_UNWANTED_DIAGNOSTICS SIMDE_BEGIN_DECLS_ SIMDE_FUNCTION_ATTRIBUTES simde_float16_t simde_vrecpeh_f16(simde_float16_t a) { #if defined(SIMDE_ARM_NEON_A32V8_NATIVE) && defined(SIMDE_ARM_NEON_FP16) return vrecpeh_f16(a); #else simde_float32_t r_; simde_float32_t a_ = simde_float16_to_float32(a); r_ = 1.0f / a_; return simde_float16_from_float32(r_); #endif } #if defined(SIMDE_ARM_NEON_A32V8_ENABLE_NATIVE_ALIASES) #undef vrecpeh_f16 #define vrecpeh_f16(a) simde_vrecpeh_f16((a)) #endif SIMDE_FUNCTION_ATTRIBUTES simde_float32_t simde_vrecpes_f32(simde_float32_t a) { #if defined(SIMDE_ARM_NEON_A64V8_NATIVE) return vrecpes_f32(a); #else return SIMDE_FLOAT32_C(1.0) / a; #endif } #if defined(SIMDE_ARM_NEON_A64V8_ENABLE_NATIVE_ALIASES) #undef vrecpes_f32 #define vrecpes_f32(a) simde_vrecpes_f32((a)) #endif SIMDE_FUNCTION_ATTRIBUTES simde_float64_t simde_vrecped_f64(simde_float64_t a) { #if defined(SIMDE_ARM_NEON_A64V8_NATIVE) return vrecped_f64(a); #else return SIMDE_FLOAT64_C(1.0) / a; #endif } #if defined(SIMDE_ARM_NEON_A64V8_ENABLE_NATIVE_ALIASES) #undef vrecped_f64 #define vrecped_f64(a) simde_vrecped_f64((a)) #endif SIMDE_FUNCTION_ATTRIBUTES simde_float16x4_t simde_vrecpe_f16(simde_float16x4_t a) { #if defined(SIMDE_ARM_NEON_A32V8_NATIVE) && defined(SIMDE_ARM_NEON_FP16) return vrecpe_f16(a); #else simde_float16x4_private r_, a_ = simde_float16x4_to_private(a); SIMDE_VECTORIZE for (size_t i = 0 ; i < (sizeof(r_.values) / sizeof(r_.values[0])) ; i++) { r_.values[i] = simde_vrecpeh_f16(a_.values[i]); } return simde_float16x4_from_private(r_); #endif } #if defined(SIMDE_ARM_NEON_A32V8_ENABLE_NATIVE_ALIASES) #undef vrecpe_f16 #define vrecpe_f16(a) simde_vrecpe_f16((a)) #endif SIMDE_FUNCTION_ATTRIBUTES simde_float32x2_t simde_vrecpe_f32(simde_float32x2_t a) { #if defined(SIMDE_ARM_NEON_A32V7_NATIVE) return vrecpe_f32(a); #else simde_float32x2_private r_, a_ = simde_float32x2_to_private(a); #if defined(SIMDE_IEEE754_STORAGE) /* https://stackoverflow.com/questions/12227126/division-as-multiply-and-lut-fast-float-division-reciprocal/12228234#12228234 */ SIMDE_VECTORIZE for (size_t i = 0 ; i < (sizeof(r_.values) / sizeof(r_.values[0])) ; i++) { int32_t ix; simde_float32 fx = a_.values[i]; simde_memcpy(&ix, &fx, sizeof(ix)); int32_t x = INT32_C(0x7EF311C3) - ix; simde_float32 temp; simde_memcpy(&temp, &x, sizeof(temp)); r_.values[i] = temp * (SIMDE_FLOAT32_C(2.0) - temp * fx); } #elif defined(SIMDE_VECTOR_SUBSCRIPT_SCALAR) r_.f32 = 1.0f / a_.f32; #else SIMDE_VECTORIZE for (size_t i = 0 ; i < (sizeof(r_.f32) / sizeof(r_.f32[0])) ; i++) { r_.values[i] = simde_vrecpes_f32(a_.values[i]); } #endif return simde_float32x2_from_private(r_); #endif } #if defined(SIMDE_ARM_NEON_A32V7_ENABLE_NATIVE_ALIASES) #undef vrecpe_f32 #define vrecpe_f32(a) simde_vrecpe_f32((a)) #endif SIMDE_FUNCTION_ATTRIBUTES simde_float64x1_t simde_vrecpe_f64(simde_float64x1_t a) { #if defined(SIMDE_ARM_NEON_A64V8_NATIVE) return vrecpe_f64(a); #else simde_float64x1_private r_, a_ = simde_float64x1_to_private(a); #if defined(SIMDE_VECTOR_SUBSCRIPT_SCALAR) r_.values = 1.0 / a_.values; #else SIMDE_VECTORIZE for (size_t i = 0 ; i < (sizeof(r_.values) / sizeof(r_.values[0])) ; i++) { r_.values[i] = simde_vrecped_f64(a_.values[i]); } #endif return simde_float64x1_from_private(r_); #endif } #if defined(SIMDE_ARM_NEON_A64V8_ENABLE_NATIVE_ALIASES) #undef vrecpe_f64 #define vrecpe_f64(a) simde_vrecpe_f64((a)) #endif SIMDE_FUNCTION_ATTRIBUTES simde_float64x2_t simde_vrecpeq_f64(simde_float64x2_t a) { #if defined(SIMDE_ARM_NEON_A64V8_NATIVE) return vrecpeq_f64(a); #else simde_float64x2_private r_, a_ = simde_float64x2_to_private(a); #if defined(SIMDE_VECTOR_SUBSCRIPT_SCALAR) r_.values = 1.0 / a_.values; #else SIMDE_VECTORIZE for (size_t i = 0 ; i < (sizeof(r_.values) / sizeof(r_.values[0])) ; i++) { r_.values[i] = simde_vrecped_f64(a_.values[i]); } #endif return simde_float64x2_from_private(r_); #endif } #if defined(SIMDE_ARM_NEON_A64V8_ENABLE_NATIVE_ALIASES) #undef vrecpeq_f64 #define vrecpeq_f64(a) simde_vrecpeq_f64((a)) #endif SIMDE_FUNCTION_ATTRIBUTES simde_float32x4_t simde_vrecpeq_f32(simde_float32x4_t a) { #if defined(SIMDE_ARM_NEON_A32V7_NATIVE) return vrecpeq_f32(a); #elif defined(SIMDE_POWER_ALTIVEC_P6_NATIVE) return vec_re(a); #else simde_float32x4_private r_, a_ = simde_float32x4_to_private(a); #if defined(SIMDE_X86_SSE_NATIVE) r_.m128 = _mm_rcp_ps(a_.m128); #elif defined(SIMDE_IEEE754_STORAGE) /* https://stackoverflow.com/questions/12227126/division-as-multiply-and-lut-fast-float-division-reciprocal/12228234#12228234 */ SIMDE_VECTORIZE for (size_t i = 0 ; i < (sizeof(r_.values) / sizeof(r_.values[0])) ; i++) { int32_t ix; simde_float32 fx = a_.values[i]; simde_memcpy(&ix, &fx, sizeof(ix)); int32_t x = INT32_C(0x7EF311C3) - ix; simde_float32 temp; simde_memcpy(&temp, &x, sizeof(temp)); r_.values[i] = temp * (SIMDE_FLOAT32_C(2.0) - temp * fx); } #elif defined(SIMDE_VECTOR_SUBSCRIPT_SCALAR) r_.f32 = 1.0f / a_.f32; #else SIMDE_VECTORIZE for (size_t i = 0 ; i < (sizeof(r_.f32) / sizeof(r_.f32[0])) ; i++) { r_.values[i] = simde_vrecpes_f32(a_.values[i]); } #endif return simde_float32x4_from_private(r_); #endif } #if defined(SIMDE_ARM_NEON_A32V7_ENABLE_NATIVE_ALIASES) #undef vrecpeq_f32 #define vrecpeq_f32(a) simde_vrecpeq_f32((a)) #endif SIMDE_FUNCTION_ATTRIBUTES simde_float16x8_t simde_vrecpeq_f16(simde_float16x8_t a) { #if defined(SIMDE_ARM_NEON_A32V8_NATIVE) && defined(SIMDE_ARM_NEON_FP16) return vrecpeq_f16(a); #else simde_float16x8_private r_, a_ = simde_float16x8_to_private(a); SIMDE_VECTORIZE for (size_t i = 0 ; i < (sizeof(r_.values) / sizeof(r_.values[0])) ; i++) { r_.values[i] = simde_vrecpeh_f16(a_.values[i]); } return simde_float16x8_from_private(r_); #endif } #if defined(SIMDE_ARM_NEON_A32V8_ENABLE_NATIVE_ALIASES) #undef vrecpeq_f16 #define vrecpeq_f16(a) simde_vrecpeq_f16((a)) #endif SIMDE_FUNCTION_ATTRIBUTES simde_uint32x2_t simde_vrecpe_u32(simde_uint32x2_t a){ #if defined(SIMDE_ARM_NEON_A32V7_NATIVE) return vrecpe_u32(a); #else simde_uint32x2_private a_ = simde_uint32x2_to_private(a), r_; SIMDE_VECTORIZE for(size_t i = 0 ; i < (sizeof(r_.values) / sizeof(r_.values[0])) ; i++) { if (a_.values[i] <= 0x7FFFFFFF){ r_.values[i] = UINT32_MAX; } else { uint32_t a_temp = (a_.values[i] >> 23) & 511; a_temp = a_temp * 2 + 1; uint32_t b = (1 << 19) / a_temp; r_.values[i] = (b+1) / 2; r_.values[i] = r_.values[i] << 23; } } return simde_uint32x2_from_private(r_); #endif } #if defined(SIMDE_ARM_NEON_A32V7_ENABLE_NATIVE_ALIASES) #undef vrecpe_u32 #define vrecpe_u32(a) simde_vrecpe_u32((a)) #endif SIMDE_FUNCTION_ATTRIBUTES simde_uint32x4_t simde_vrecpeq_u32(simde_uint32x4_t a){ #if defined(SIMDE_ARM_NEON_A32V7_NATIVE) return vrecpeq_u32(a); #else simde_uint32x4_private a_ = simde_uint32x4_to_private(a), r_; SIMDE_VECTORIZE for(size_t i = 0 ; i < (sizeof(r_.values) / sizeof(r_.values[0])) ; i++) { if (a_.values[i] <= 0x7FFFFFFF){ r_.values[i] = UINT32_MAX; } else { uint32_t a_temp = (a_.values[i] >> 23) & 511; a_temp = a_temp * 2 + 1; uint32_t b = (1 << 19) / a_temp; r_.values[i] = (b+1) / 2; r_.values[i] = r_.values[i] << 23; } } return simde_uint32x4_from_private(r_); #endif } #if defined(SIMDE_ARM_NEON_A32V7_ENABLE_NATIVE_ALIASES) #undef vrecpeq_u32 #define vrecpeq_u32(a) simde_vrecpeq_u32((a)) #endif SIMDE_END_DECLS_ HEDLEY_DIAGNOSTIC_POP #endif /* !defined(SIMDE_ARM_NEON_RECPE_H) */