/* ---------------------------------------------------------------------- * Project: CMSIS DSP Library * Title: arm_mve_tables.c * Description: common tables like fft twiddle factors, Bitreverse, reciprocal etc * used for MVE implementation only * * $Date: 08. January 2020 * $Revision: V1.7.0 * * Target Processor: Cortex-M cores * -------------------------------------------------------------------- */ /* * Copyright (C) 2010-2020 ARM Limited or its affiliates. All rights reserved. * * SPDX-License-Identifier: Apache-2.0 * * Licensed under the Apache License, Version 2.0 (the License); you may * not use this file except in compliance with the License. * You may obtain a copy of the License at * * www.apache.org/licenses/LICENSE-2.0 * * Unless required by applicable law or agreed to in writing, software * distributed under the License is distributed on an AS IS BASIS, WITHOUT * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. * See the License for the specific language governing permissions and * limitations under the License. */ #include "arm_math.h" #if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_16) || defined(ARM_TABLE_TWIDDLECOEF_F32_32) uint32_t rearranged_twiddle_tab_stride1_arr_16[2]={ 0,0,}; uint32_t rearranged_twiddle_tab_stride2_arr_16[2]={ 0,0,}; uint32_t rearranged_twiddle_tab_stride3_arr_16[2]={ 0,0,}; float32_t rearranged_twiddle_stride1_16[8]={ 1.00000000000000000000f,0.00000000000000000000f,0.92387953251128673848f, 0.38268343236508978178f,0.70710678118654757274f,0.70710678118654757274f, 0.38268343236508983729f,0.92387953251128673848f,}; float32_t rearranged_twiddle_stride2_16[8]={ 1.00000000000000000000f,0.00000000000000000000f,0.70710678118654757274f, 0.70710678118654757274f,0.00000000000000006123f,1.00000000000000000000f, -0.70710678118654746172f,0.70710678118654757274f,}; float32_t rearranged_twiddle_stride3_16[8]={ 1.00000000000000000000f,0.00000000000000000000f,0.38268343236508983729f, 0.92387953251128673848f,-0.70710678118654746172f,0.70710678118654757274f, -0.92387953251128684951f,-0.38268343236508967076f,}; #endif #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_64) || defined(ARM_TABLE_TWIDDLECOEF_F32_128) uint32_t rearranged_twiddle_tab_stride1_arr_64[3]={ 0,32,0,}; uint32_t rearranged_twiddle_tab_stride2_arr_64[3]={ 0,32,0,}; uint32_t rearranged_twiddle_tab_stride3_arr_64[3]={ 0,32,0,}; float32_t rearranged_twiddle_stride1_64[40]={ 1.00000000000000000000f,0.00000000000000000000f,0.99518472667219692873f, 0.09801714032956060363f,0.98078528040323043058f,0.19509032201612824808f, 0.95694033573220882438f,0.29028467725446233105f,0.92387953251128673848f, 0.38268343236508978178f,0.88192126434835504956f,0.47139673682599764204f, 0.83146961230254523567f,0.55557023301960217765f,0.77301045336273699338f, 0.63439328416364548779f,0.70710678118654757274f,0.70710678118654757274f, 0.63439328416364548779f,0.77301045336273688235f,0.55557023301960228867f, 0.83146961230254523567f,0.47139673682599780857f,0.88192126434835493853f, 0.38268343236508983729f,0.92387953251128673848f,0.29028467725446233105f, 0.95694033573220893540f,0.19509032201612833135f,0.98078528040323043058f, 0.09801714032956077016f,0.99518472667219681771f,1.00000000000000000000f, 0.00000000000000000000f,0.92387953251128673848f,0.38268343236508978178f, 0.70710678118654757274f,0.70710678118654757274f,0.38268343236508983729f, 0.92387953251128673848f,}; float32_t rearranged_twiddle_stride2_64[40]={ 1.00000000000000000000f,0.00000000000000000000f,0.98078528040323043058f, 0.19509032201612824808f,0.92387953251128673848f,0.38268343236508978178f, 0.83146961230254523567f,0.55557023301960217765f,0.70710678118654757274f, 0.70710678118654757274f,0.55557023301960228867f,0.83146961230254523567f, 0.38268343236508983729f,0.92387953251128673848f,0.19509032201612833135f, 0.98078528040323043058f,0.00000000000000006123f,1.00000000000000000000f, -0.19509032201612819257f,0.98078528040323043058f,-0.38268343236508972627f, 0.92387953251128673848f,-0.55557023301960195560f,0.83146961230254534669f, -0.70710678118654746172f,0.70710678118654757274f,-0.83146961230254534669f, 0.55557023301960217765f,-0.92387953251128673848f,0.38268343236508989280f, -0.98078528040323043058f,0.19509032201612860891f,1.00000000000000000000f, 0.00000000000000000000f,0.70710678118654757274f,0.70710678118654757274f, 0.00000000000000006123f,1.00000000000000000000f,-0.70710678118654746172f, 0.70710678118654757274f,}; float32_t rearranged_twiddle_stride3_64[40]={ 1.00000000000000000000f,0.00000000000000000000f,0.95694033573220882438f, 0.29028467725446233105f,0.83146961230254523567f,0.55557023301960217765f, 0.63439328416364548779f,0.77301045336273688235f,0.38268343236508983729f, 0.92387953251128673848f,0.09801714032956077016f,0.99518472667219681771f, -0.19509032201612819257f,0.98078528040323043058f,-0.47139673682599769755f, 0.88192126434835504956f,-0.70710678118654746172f,0.70710678118654757274f, -0.88192126434835493853f,0.47139673682599780857f,-0.98078528040323043058f, 0.19509032201612860891f,-0.99518472667219692873f,-0.09801714032956058975f, -0.92387953251128684951f,-0.38268343236508967076f,-0.77301045336273710440f, -0.63439328416364526575f,-0.55557023301960217765f,-0.83146961230254523567f, -0.29028467725446244208f,-0.95694033573220882438f,1.00000000000000000000f, 0.00000000000000000000f,0.38268343236508983729f,0.92387953251128673848f, -0.70710678118654746172f,0.70710678118654757274f,-0.92387953251128684951f, -0.38268343236508967076f,}; #endif #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_256) || defined(ARM_TABLE_TWIDDLECOEF_F32_512) uint32_t rearranged_twiddle_tab_stride1_arr_256[4]={ 0,128,160,0,}; uint32_t rearranged_twiddle_tab_stride2_arr_256[4]={ 0,128,160,0,}; uint32_t rearranged_twiddle_tab_stride3_arr_256[4]={ 0,128,160,0,}; float32_t rearranged_twiddle_stride1_256[168]={ 1.00000000000000000000f,0.00000000000000000000f,0.99969881869620424997f, 0.02454122852291228812f,0.99879545620517240501f,0.04906767432741801493f, 0.99729045667869020697f,0.07356456359966742631f,0.99518472667219692873f, 0.09801714032956060363f,0.99247953459870996706f,0.12241067519921619566f, 0.98917650996478101444f,0.14673047445536174793f,0.98527764238894122162f, 0.17096188876030121717f,0.98078528040323043058f,0.19509032201612824808f, 0.97570213003852857003f,0.21910124015686979759f,0.97003125319454397424f, 0.24298017990326387094f,0.96377606579543984022f,0.26671275747489836538f, 0.95694033573220882438f,0.29028467725446233105f,0.94952818059303667475f, 0.31368174039889151761f,0.94154406518302080631f,0.33688985339222005111f, 0.93299279883473895669f,0.35989503653498811087f,0.92387953251128673848f, 0.38268343236508978178f,0.91420975570353069095f,0.40524131400498986100f, 0.90398929312344333820f,0.42755509343028208491f,0.89322430119551532446f, 0.44961132965460653965f,0.88192126434835504956f,0.47139673682599764204f, 0.87008699110871146054f,0.49289819222978403790f,0.85772861000027211809f, 0.51410274419322166128f,0.84485356524970711689f,0.53499761988709715332f, 0.83146961230254523567f,0.55557023301960217765f,0.81758481315158371139f, 0.57580819141784533866f,0.80320753148064494287f,0.59569930449243335691f, 0.78834642762660622761f,0.61523159058062681925f,0.77301045336273699338f, 0.63439328416364548779f,0.75720884650648456748f,0.65317284295377675551f, 0.74095112535495921691f,0.67155895484701833009f,0.72424708295146700276f, 0.68954054473706682948f,0.70710678118654757274f,0.70710678118654757274f, 0.68954054473706694051f,0.72424708295146689174f,0.67155895484701833009f, 0.74095112535495910588f,0.65317284295377686654f,0.75720884650648456748f, 0.63439328416364548779f,0.77301045336273688235f,0.61523159058062681925f, 0.78834642762660622761f,0.59569930449243346793f,0.80320753148064483184f, 0.57580819141784533866f,0.81758481315158371139f,0.55557023301960228867f, 0.83146961230254523567f,0.53499761988709726435f,0.84485356524970700587f, 0.51410274419322166128f,0.85772861000027211809f,0.49289819222978409341f, 0.87008699110871134952f,0.47139673682599780857f,0.88192126434835493853f, 0.44961132965460659516f,0.89322430119551532446f,0.42755509343028219593f, 0.90398929312344333820f,0.40524131400498986100f,0.91420975570353069095f, 0.38268343236508983729f,0.92387953251128673848f,0.35989503653498827740f, 0.93299279883473884567f,0.33688985339222005111f,0.94154406518302080631f, 0.31368174039889157312f,0.94952818059303667475f,0.29028467725446233105f, 0.95694033573220893540f,0.26671275747489842090f,0.96377606579543984022f, 0.24298017990326398197f,0.97003125319454397424f,0.21910124015686976984f, 0.97570213003852857003f,0.19509032201612833135f,0.98078528040323043058f, 0.17096188876030135595f,0.98527764238894122162f,0.14673047445536174793f, 0.98917650996478101444f,0.12241067519921627893f,0.99247953459870996706f, 0.09801714032956077016f,0.99518472667219681771f,0.07356456359966745406f, 0.99729045667869020697f,0.04906767432741812596f,0.99879545620517240501f, 0.02454122852291226384f,0.99969881869620424997f,1.00000000000000000000f, 0.00000000000000000000f,0.99518472667219692873f,0.09801714032956060363f, 0.98078528040323043058f,0.19509032201612824808f,0.95694033573220882438f, 0.29028467725446233105f,0.92387953251128673848f,0.38268343236508978178f, 0.88192126434835504956f,0.47139673682599764204f,0.83146961230254523567f, 0.55557023301960217765f,0.77301045336273699338f,0.63439328416364548779f, 0.70710678118654757274f,0.70710678118654757274f,0.63439328416364548779f, 0.77301045336273688235f,0.55557023301960228867f,0.83146961230254523567f, 0.47139673682599780857f,0.88192126434835493853f,0.38268343236508983729f, 0.92387953251128673848f,0.29028467725446233105f,0.95694033573220893540f, 0.19509032201612833135f,0.98078528040323043058f,0.09801714032956077016f, 0.99518472667219681771f,1.00000000000000000000f,0.00000000000000000000f, 0.92387953251128673848f,0.38268343236508978178f,0.70710678118654757274f, 0.70710678118654757274f,0.38268343236508983729f,0.92387953251128673848f,}; float32_t rearranged_twiddle_stride2_256[168]={ 1.00000000000000000000f,0.00000000000000000000f,0.99879545620517240501f, 0.04906767432741801493f,0.99518472667219692873f,0.09801714032956060363f, 0.98917650996478101444f,0.14673047445536174793f,0.98078528040323043058f, 0.19509032201612824808f,0.97003125319454397424f,0.24298017990326387094f, 0.95694033573220882438f,0.29028467725446233105f,0.94154406518302080631f, 0.33688985339222005111f,0.92387953251128673848f,0.38268343236508978178f, 0.90398929312344333820f,0.42755509343028208491f,0.88192126434835504956f, 0.47139673682599764204f,0.85772861000027211809f,0.51410274419322166128f, 0.83146961230254523567f,0.55557023301960217765f,0.80320753148064494287f, 0.59569930449243335691f,0.77301045336273699338f,0.63439328416364548779f, 0.74095112535495921691f,0.67155895484701833009f,0.70710678118654757274f, 0.70710678118654757274f,0.67155895484701833009f,0.74095112535495910588f, 0.63439328416364548779f,0.77301045336273688235f,0.59569930449243346793f, 0.80320753148064483184f,0.55557023301960228867f,0.83146961230254523567f, 0.51410274419322166128f,0.85772861000027211809f,0.47139673682599780857f, 0.88192126434835493853f,0.42755509343028219593f,0.90398929312344333820f, 0.38268343236508983729f,0.92387953251128673848f,0.33688985339222005111f, 0.94154406518302080631f,0.29028467725446233105f,0.95694033573220893540f, 0.24298017990326398197f,0.97003125319454397424f,0.19509032201612833135f, 0.98078528040323043058f,0.14673047445536174793f,0.98917650996478101444f, 0.09801714032956077016f,0.99518472667219681771f,0.04906767432741812596f, 0.99879545620517240501f,0.00000000000000006123f,1.00000000000000000000f, -0.04906767432741800800f,0.99879545620517240501f,-0.09801714032956064526f, 0.99518472667219692873f,-0.14673047445536163691f,0.98917650996478101444f, -0.19509032201612819257f,0.98078528040323043058f,-0.24298017990326387094f, 0.97003125319454397424f,-0.29028467725446216452f,0.95694033573220893540f, -0.33688985339221994009f,0.94154406518302080631f,-0.38268343236508972627f, 0.92387953251128673848f,-0.42755509343028186287f,0.90398929312344344922f, -0.47139673682599769755f,0.88192126434835504956f,-0.51410274419322155026f, 0.85772861000027211809f,-0.55557023301960195560f,0.83146961230254534669f, -0.59569930449243335691f,0.80320753148064494287f,-0.63439328416364537677f, 0.77301045336273710440f,-0.67155895484701844111f,0.74095112535495899486f, -0.70710678118654746172f,0.70710678118654757274f,-0.74095112535495888384f, 0.67155895484701855214f,-0.77301045336273699338f,0.63439328416364548779f, -0.80320753148064483184f,0.59569930449243346793f,-0.83146961230254534669f, 0.55557023301960217765f,-0.85772861000027200706f,0.51410274419322177231f, -0.88192126434835493853f,0.47139673682599780857f,-0.90398929312344333820f, 0.42755509343028202940f,-0.92387953251128673848f,0.38268343236508989280f, -0.94154406518302069529f,0.33688985339222032867f,-0.95694033573220882438f, 0.29028467725446238656f,-0.97003125319454397424f,0.24298017990326406523f, -0.98078528040323043058f,0.19509032201612860891f,-0.98917650996478101444f, 0.14673047445536180344f,-0.99518472667219681771f,0.09801714032956082567f, -0.99879545620517240501f,0.04906767432741796636f,1.00000000000000000000f, 0.00000000000000000000f,0.98078528040323043058f,0.19509032201612824808f, 0.92387953251128673848f,0.38268343236508978178f,0.83146961230254523567f, 0.55557023301960217765f,0.70710678118654757274f,0.70710678118654757274f, 0.55557023301960228867f,0.83146961230254523567f,0.38268343236508983729f, 0.92387953251128673848f,0.19509032201612833135f,0.98078528040323043058f, 0.00000000000000006123f,1.00000000000000000000f,-0.19509032201612819257f, 0.98078528040323043058f,-0.38268343236508972627f,0.92387953251128673848f, -0.55557023301960195560f,0.83146961230254534669f,-0.70710678118654746172f, 0.70710678118654757274f,-0.83146961230254534669f,0.55557023301960217765f, -0.92387953251128673848f,0.38268343236508989280f,-0.98078528040323043058f, 0.19509032201612860891f,1.00000000000000000000f,0.00000000000000000000f, 0.70710678118654757274f,0.70710678118654757274f,0.00000000000000006123f, 1.00000000000000000000f,-0.70710678118654746172f,0.70710678118654757274f,}; float32_t rearranged_twiddle_stride3_256[168]={ 1.00000000000000000000f,0.00000000000000000000f,0.99729045667869020697f, 0.07356456359966742631f,0.98917650996478101444f,0.14673047445536174793f, 0.97570213003852857003f,0.21910124015686979759f,0.95694033573220882438f, 0.29028467725446233105f,0.93299279883473895669f,0.35989503653498811087f, 0.90398929312344333820f,0.42755509343028208491f,0.87008699110871146054f, 0.49289819222978403790f,0.83146961230254523567f,0.55557023301960217765f, 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rearranged_twiddle_tab_stride1_arr_1024[5]={ 0,512,640,672,0,}; uint32_t rearranged_twiddle_tab_stride2_arr_1024[5]={ 0,512,640,672,0,}; uint32_t rearranged_twiddle_tab_stride3_arr_1024[5]={ 0,512,640,672,0,}; float32_t rearranged_twiddle_stride1_1024[680]={ 1.00000000000000000000f,0.00000000000000000000f,0.99998117528260110909f, 0.00613588464915447527f,0.99992470183914450299f,0.01227153828571992539f, 0.99983058179582340319f,0.01840672990580482019f,0.99969881869620424997f, 0.02454122852291228812f,0.99952941750109314256f,0.03067480317663662595f, 0.99932238458834954375f,0.03680722294135883171f,0.99907772775264536147f, 0.04293825693494082024f,0.99879545620517240501f,0.04906767432741801493f, 0.99847558057329477421f,0.05519524434968993420f,0.99811811290014917919f, 0.06132073630220857829f,0.99772306664419163624f,0.06744391956366405094f, 0.99729045667869020697f,0.07356456359966742631f,0.99682029929116566791f, 0.07968243797143012563f,0.99631261218277800129f,0.08579731234443989385f, 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defined(ARM_FFT_ALLOW_TABLES) */ #endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */