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/* -*- c++ -*- */ |
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/* |
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* Copyright 2013, 2014 Free Software Foundation, Inc. |
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* |
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* This file is part of VOLK |
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* |
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* SPDX-License-Identifier: LGPL-3.0-or-later |
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*/ |
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/*! |
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* \page volk_32f_invsqrt_32f |
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* |
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* \b Overview |
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* |
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* Computes the inverse square root of the input vector and stores |
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* result in the output vector. |
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* |
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* <b>Dispatcher Prototype</b> |
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* \code |
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* void volk_32f_invsqrt_32f(float* cVector, const float* aVector, unsigned int |
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* num_points) \endcode |
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* |
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* \b Inputs |
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* \li aVector: the input vector of floats. |
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* \li num_points: The number of data points. |
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* |
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* \b Outputs |
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* \li cVector: The output vector. |
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* |
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* \b Example |
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* \code |
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* int N = 10; |
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* unsigned int alignment = volk_get_alignment(); |
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* float* in = (float*)volk_malloc(sizeof(float)*N, alignment); |
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* float* out = (float*)volk_malloc(sizeof(float)*N, alignment); |
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* |
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* for(unsigned int ii = 0; ii < N; ++ii){ |
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* in[ii] = 1.0 / (float)(ii*ii); |
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* } |
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* |
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* volk_32f_invsqrt_32f(out, in, N); |
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* |
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* for(unsigned int ii = 0; ii < N; ++ii){ |
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* printf("out(%i) = %f\n", ii, out[ii]); |
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* } |
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* |
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* volk_free(in); |
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* volk_free(out); |
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* \endcode |
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*/ |
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#ifndef INCLUDED_volk_32f_invsqrt_32f_a_H |
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#define INCLUDED_volk_32f_invsqrt_32f_a_H |
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#include <inttypes.h> |
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#include <math.h> |
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#include <stdio.h> |
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#include <string.h> |
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static inline float Q_rsqrt(float number) |
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{ |
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float x2; |
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const float threehalfs = 1.5F; |
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union f32_to_i32 { |
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int32_t i; |
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float f; |
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} u; |
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x2 = number * 0.5F; |
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u.f = number; |
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u.i = 0x5f3759df - (u.i >> 1); // what the fuck? |
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u.f = u.f * (threehalfs - (x2 * u.f * u.f)); // 1st iteration |
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// u.f = u.f * ( threehalfs - ( x2 * u.f * u.f ) ); // 2nd iteration, this can be |
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// removed |
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return u.f; |
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} |
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#ifdef LV_HAVE_AVX |
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#include <immintrin.h> |
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static inline void |
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volk_32f_invsqrt_32f_a_avx(float* cVector, const float* aVector, unsigned int num_points) |
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{ |
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unsigned int number = 0; |
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const unsigned int eighthPoints = num_points / 8; |
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float* cPtr = cVector; |
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const float* aPtr = aVector; |
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__m256 aVal, cVal; |
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for (; number < eighthPoints; number++) { |
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aVal = _mm256_load_ps(aPtr); |
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cVal = _mm256_rsqrt_ps(aVal); |
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_mm256_store_ps(cPtr, cVal); |
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aPtr += 8; |
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cPtr += 8; |
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} |
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number = eighthPoints * 8; |
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for (; number < num_points; number++) |
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*cPtr++ = Q_rsqrt(*aPtr++); |
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} |
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#endif /* LV_HAVE_AVX */ |
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#ifdef LV_HAVE_SSE |
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#include <xmmintrin.h> |
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static inline void |
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volk_32f_invsqrt_32f_a_sse(float* cVector, const float* aVector, unsigned int num_points) |
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{ |
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unsigned int number = 0; |
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const unsigned int quarterPoints = num_points / 4; |
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float* cPtr = cVector; |
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const float* aPtr = aVector; |
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__m128 aVal, cVal; |
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for (; number < quarterPoints; number++) { |
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aVal = _mm_load_ps(aPtr); |
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cVal = _mm_rsqrt_ps(aVal); |
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_mm_store_ps(cPtr, cVal); // Store the results back into the C container |
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aPtr += 4; |
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cPtr += 4; |
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} |
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number = quarterPoints * 4; |
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for (; number < num_points; number++) { |
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*cPtr++ = Q_rsqrt(*aPtr++); |
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} |
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} |
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#endif /* LV_HAVE_SSE */ |
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#ifdef LV_HAVE_NEON |
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#include <arm_neon.h> |
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static inline void |
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volk_32f_invsqrt_32f_neon(float* cVector, const float* aVector, unsigned int num_points) |
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{ |
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unsigned int number; |
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const unsigned int quarter_points = num_points / 4; |
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float* cPtr = cVector; |
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const float* aPtr = aVector; |
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float32x4_t a_val, c_val; |
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for (number = 0; number < quarter_points; ++number) { |
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a_val = vld1q_f32(aPtr); |
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c_val = vrsqrteq_f32(a_val); |
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vst1q_f32(cPtr, c_val); |
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aPtr += 4; |
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cPtr += 4; |
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} |
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for (number = quarter_points * 4; number < num_points; number++) |
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*cPtr++ = Q_rsqrt(*aPtr++); |
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} |
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#endif /* LV_HAVE_NEON */ |
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#ifdef LV_HAVE_GENERIC |
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static inline void volk_32f_invsqrt_32f_generic(float* cVector, |
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const float* aVector, |
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unsigned int num_points) |
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{ |
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float* cPtr = cVector; |
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const float* aPtr = aVector; |
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unsigned int number = 0; |
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for (number = 0; number < num_points; number++) { |
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*cPtr++ = Q_rsqrt(*aPtr++); |
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} |
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} |
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#endif /* LV_HAVE_GENERIC */ |
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#ifdef LV_HAVE_AVX |
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#include <immintrin.h> |
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static inline void |
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volk_32f_invsqrt_32f_u_avx(float* cVector, const float* aVector, unsigned int num_points) |
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{ |
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unsigned int number = 0; |
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const unsigned int eighthPoints = num_points / 8; |
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float* cPtr = cVector; |
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const float* aPtr = aVector; |
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__m256 aVal, cVal; |
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for (; number < eighthPoints; number++) { |
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aVal = _mm256_loadu_ps(aPtr); |
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cVal = _mm256_rsqrt_ps(aVal); |
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_mm256_storeu_ps(cPtr, cVal); |
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aPtr += 8; |
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cPtr += 8; |
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} |
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number = eighthPoints * 8; |
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for (; number < num_points; number++) |
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*cPtr++ = Q_rsqrt(*aPtr++); |
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} |
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#endif /* LV_HAVE_AVX */ |
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#endif /* INCLUDED_volk_32f_invsqrt_32f_a_H */ |
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