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Diffstat (limited to 'DSP_Lib/Source/TransformFunctions/arm_dct4_init_f32.c')
-rw-r--r-- | DSP_Lib/Source/TransformFunctions/arm_dct4_init_f32.c | 16519 |
1 files changed, 16519 insertions, 0 deletions
diff --git a/DSP_Lib/Source/TransformFunctions/arm_dct4_init_f32.c b/DSP_Lib/Source/TransformFunctions/arm_dct4_init_f32.c new file mode 100644 index 0000000..efc6501 --- /dev/null +++ b/DSP_Lib/Source/TransformFunctions/arm_dct4_init_f32.c @@ -0,0 +1,16519 @@ +/* ---------------------------------------------------------------------- +* Copyright (C) 2010-2014 ARM Limited. All rights reserved. +* +* $Date: 19. March 2015 +* $Revision: V.1.4.5 +* +* Project: CMSIS DSP Library +* Title: arm_dct4_init_f32.c +* +* Description: Initialization function of DCT-4 & IDCT4 F32 +* +* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 +* +* Redistribution and use in source and binary forms, with or without +* modification, are permitted provided that the following conditions +* are met: +* - Redistributions of source code must retain the above copyright +* notice, this list of conditions and the following disclaimer. +* - Redistributions in binary form must reproduce the above copyright +* notice, this list of conditions and the following disclaimer in +* the documentation and/or other materials provided with the +* distribution. +* - Neither the name of ARM LIMITED nor the names of its contributors +* may be used to endorse or promote products derived from this +* software without specific prior written permission. +* +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +* POSSIBILITY OF SUCH DAMAGE. +* -------------------------------------------------------------------- */ + + +#include "arm_math.h" + +/** + * @ingroup groupTransforms + */ + +/** + * @addtogroup DCT4_IDCT4 + * @{ + */ + +/* +* @brief Weights Table +*/ + +/** +* \par +* Weights tables are generated using the formula : <pre>weights[n] = e^(-j*n*pi/(2*N))</pre> +* \par +* C command to generate the table +* <pre> +* for(i = 0; i< N; i++) +* { +* weights[2*i]= cos(i*c); +* weights[(2*i)+1]= -sin(i * c); +* } </pre> +* \par +* Where <code>N</code> is the Number of weights to be calculated and <code>c</code> is <code>pi/(2*N)</code> +* \par +* In the tables below the real and imaginary values are placed alternatively, hence the +* array length is <code>2*N</code>. +*/ + +static const float32_t Weights_128[256] = { + 1.000000000000000000f, 0.000000000000000000f, 0.999924701839144500f, + -0.012271538285719925f, + 0.999698818696204250f, -0.024541228522912288f, 0.999322384588349540f, + -0.036807222941358832f, + 0.998795456205172410f, -0.049067674327418015f, 0.998118112900149180f, + -0.061320736302208578f, + 0.997290456678690210f, -0.073564563599667426f, 0.996312612182778000f, + -0.085797312344439894f, + 0.995184726672196930f, -0.098017140329560604f, 0.993906970002356060f, + -0.110222207293883060f, + 0.992479534598709970f, -0.122410675199216200f, 0.990902635427780010f, + -0.134580708507126170f, + 0.989176509964781010f, -0.146730474455361750f, 0.987301418157858430f, + -0.158858143333861450f, + 0.985277642388941220f, -0.170961888760301220f, 0.983105487431216290f, + -0.183039887955140950f, + 0.980785280403230430f, -0.195090322016128250f, 0.978317370719627650f, + -0.207111376192218560f, + 0.975702130038528570f, -0.219101240156869800f, 0.972939952205560180f, + -0.231058108280671110f, + 0.970031253194543970f, -0.242980179903263870f, 0.966976471044852070f, + -0.254865659604514570f, + 0.963776065795439840f, -0.266712757474898370f, 0.960430519415565790f, + -0.278519689385053060f, + 0.956940335732208820f, -0.290284677254462330f, 0.953306040354193860f, + -0.302005949319228080f, + 0.949528180593036670f, -0.313681740398891520f, 0.945607325380521280f, + -0.325310292162262930f, + 0.941544065183020810f, -0.336889853392220050f, 0.937339011912574960f, + -0.348418680249434560f, + 0.932992798834738960f, -0.359895036534988110f, 0.928506080473215590f, + -0.371317193951837540f, + 0.923879532511286740f, -0.382683432365089780f, 0.919113851690057770f, + -0.393992040061048100f, + 0.914209755703530690f, -0.405241314004989860f, 0.909167983090522380f, + -0.416429560097637150f, + 0.903989293123443340f, -0.427555093430282080f, 0.898674465693953820f, + -0.438616238538527660f, + 0.893224301195515320f, -0.449611329654606540f, 0.887639620402853930f, + -0.460538710958240010f, + 0.881921264348355050f, -0.471396736825997640f, 0.876070094195406600f, + -0.482183772079122720f, + 0.870086991108711460f, -0.492898192229784040f, 0.863972856121586810f, + -0.503538383725717580f, + 0.857728610000272120f, -0.514102744193221660f, 0.851355193105265200f, + -0.524589682678468950f, + 0.844853565249707120f, -0.534997619887097150f, 0.838224705554838080f, + -0.545324988422046460f, + 0.831469612302545240f, -0.555570233019602180f, 0.824589302785025290f, + -0.565731810783613120f, + 0.817584813151583710f, -0.575808191417845340f, 0.810457198252594770f, + -0.585797857456438860f, + 0.803207531480644940f, -0.595699304492433360f, 0.795836904608883570f, + -0.605511041404325550f, + 0.788346427626606340f, -0.615231590580626820f, 0.780737228572094490f, + -0.624859488142386340f, + 0.773010453362736990f, -0.634393284163645490f, 0.765167265622458960f, + -0.643831542889791390f, + 0.757208846506484570f, -0.653172842953776760f, 0.749136394523459370f, + -0.662415777590171780f, + 0.740951125354959110f, -0.671558954847018330f, 0.732654271672412820f, + -0.680600997795453020f, + 0.724247082951467000f, -0.689540544737066830f, 0.715730825283818590f, + -0.698376249408972920f, + 0.707106781186547570f, -0.707106781186547460f, 0.698376249408972920f, + -0.715730825283818590f, + 0.689540544737066940f, -0.724247082951466890f, 0.680600997795453130f, + -0.732654271672412820f, + 0.671558954847018330f, -0.740951125354959110f, 0.662415777590171780f, + -0.749136394523459260f, + 0.653172842953776760f, -0.757208846506484460f, 0.643831542889791500f, + -0.765167265622458960f, + 0.634393284163645490f, -0.773010453362736990f, 0.624859488142386450f, + -0.780737228572094380f, + 0.615231590580626820f, -0.788346427626606230f, 0.605511041404325550f, + -0.795836904608883460f, + 0.595699304492433470f, -0.803207531480644830f, 0.585797857456438860f, + -0.810457198252594770f, + 0.575808191417845340f, -0.817584813151583710f, 0.565731810783613230f, + -0.824589302785025290f, + 0.555570233019602290f, -0.831469612302545240f, 0.545324988422046460f, + -0.838224705554837970f, + 0.534997619887097260f, -0.844853565249707010f, 0.524589682678468840f, + -0.851355193105265200f, + 0.514102744193221660f, -0.857728610000272120f, 0.503538383725717580f, + -0.863972856121586700f, + 0.492898192229784090f, -0.870086991108711350f, 0.482183772079122830f, + -0.876070094195406600f, + 0.471396736825997810f, -0.881921264348354940f, 0.460538710958240010f, + -0.887639620402853930f, + 0.449611329654606600f, -0.893224301195515320f, 0.438616238538527710f, + -0.898674465693953820f, + 0.427555093430282200f, -0.903989293123443340f, 0.416429560097637320f, + -0.909167983090522270f, + 0.405241314004989860f, -0.914209755703530690f, 0.393992040061048100f, + -0.919113851690057770f, + 0.382683432365089840f, -0.923879532511286740f, 0.371317193951837600f, + -0.928506080473215480f, + 0.359895036534988280f, -0.932992798834738850f, 0.348418680249434510f, + -0.937339011912574960f, + 0.336889853392220050f, -0.941544065183020810f, 0.325310292162262980f, + -0.945607325380521280f, + 0.313681740398891570f, -0.949528180593036670f, 0.302005949319228200f, + -0.953306040354193750f, + 0.290284677254462330f, -0.956940335732208940f, 0.278519689385053060f, + -0.960430519415565790f, + 0.266712757474898420f, -0.963776065795439840f, 0.254865659604514630f, + -0.966976471044852070f, + 0.242980179903263980f, -0.970031253194543970f, 0.231058108280671280f, + -0.972939952205560070f, + 0.219101240156869770f, -0.975702130038528570f, 0.207111376192218560f, + -0.978317370719627650f, + 0.195090322016128330f, -0.980785280403230430f, 0.183039887955141060f, + -0.983105487431216290f, + 0.170961888760301360f, -0.985277642388941220f, 0.158858143333861390f, + -0.987301418157858430f, + 0.146730474455361750f, -0.989176509964781010f, 0.134580708507126220f, + -0.990902635427780010f, + 0.122410675199216280f, -0.992479534598709970f, 0.110222207293883180f, + -0.993906970002356060f, + 0.098017140329560770f, -0.995184726672196820f, 0.085797312344439880f, + -0.996312612182778000f, + 0.073564563599667454f, -0.997290456678690210f, 0.061320736302208648f, + -0.998118112900149180f, + 0.049067674327418126f, -0.998795456205172410f, 0.036807222941358991f, + -0.999322384588349540f, + 0.024541228522912264f, -0.999698818696204250f, 0.012271538285719944f, + -0.999924701839144500f +}; + +static const float32_t Weights_512[1024] = { + 1.000000000000000000f, 0.000000000000000000f, 0.999995293809576190f, + -0.003067956762965976f, + 0.999981175282601110f, -0.006135884649154475f, 0.999957644551963900f, + -0.009203754782059819f, + 0.999924701839144500f, -0.012271538285719925f, 0.999882347454212560f, + -0.015339206284988100f, + 0.999830581795823400f, -0.018406729905804820f, 0.999769405351215280f, + -0.021474080275469508f, + 0.999698818696204250f, -0.024541228522912288f, 0.999618822495178640f, + -0.027608145778965740f, + 0.999529417501093140f, -0.030674803176636626f, 0.999430604555461730f, + -0.033741171851377580f, + 0.999322384588349540f, -0.036807222941358832f, 0.999204758618363890f, + -0.039872927587739811f, + 0.999077727752645360f, -0.042938256934940820f, 0.998941293186856870f, + -0.046003182130914623f, + 0.998795456205172410f, -0.049067674327418015f, 0.998640218180265270f, + -0.052131704680283324f, + 0.998475580573294770f, -0.055195244349689934f, 0.998301544933892890f, + -0.058258264500435752f, + 0.998118112900149180f, -0.061320736302208578f, 0.997925286198596000f, + -0.064382630929857465f, + 0.997723066644191640f, -0.067443919563664051f, 0.997511456140303450f, + -0.070504573389613856f, + 0.997290456678690210f, 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tables are generated using the formula : <pre>cos_factors[n] = 2 * cos((2n+1)*pi/(4*N))</pre> +* \par +* C command to generate the table +* \par +* <pre> for(i = 0; i< N; i++) +* { +* cos_factors[i]= 2 * cos((2*i+1)*c/2); +* } </pre> +* \par +* where <code>N</code> is the number of factors to generate and <code>c</code> is <code>pi/(2*N)</code> +*/ +static const float32_t cos_factors_128[128] = { + 0.999981175282601110f, 0.999830581795823400f, 0.999529417501093140f, + 0.999077727752645360f, + 0.998475580573294770f, 0.997723066644191640f, 0.996820299291165670f, + 0.995767414467659820f, + 0.994564570734255420f, 0.993211949234794500f, 0.991709753669099530f, + 0.990058210262297120f, + 0.988257567730749460f, 0.986308097244598670f, 0.984210092386929030f, + 0.981963869109555240f, + 0.979569765685440520f, 0.977028142657754390f, 0.974339382785575860f, + 0.971503890986251780f, + 0.968522094274417380f, 0.965394441697689400f, 0.962121404269041580f, + 0.958703474895871600f, + 0.955141168305770780f, 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0.009779088556525145, + 0.009395597766389905, + 0.009012106630804949, 0.008628615163871038, 0.008245123379687167, + 0.007861631292354124, + 0.007478138915970929, 0.007094646264638386, 0.006711153352455981, + 0.006327660193523208, + 0.005944166801940901, 0.005560673191808128, 0.005177179377225743, + 0.004793685372293270, + 0.004410191191110246, 0.004026696847777542, 0.003643202356394263, + 0.003259707731061291, + 0.002876212985878184, 0.002492718134944503, 0.002109223192361147, + 0.001725728172227238, + 0.001342233088643682, 0.000958737955710053, 0.000575242787525925, + 0.000191747598192208, + +}; + +/** + * @brief Initialization function for the floating-point DCT4/IDCT4. + * @param[in,out] *S points to an instance of floating-point DCT4/IDCT4 structure. + * @param[in] *S_RFFT points to an instance of floating-point RFFT/RIFFT structure. + * @param[in] *S_CFFT points to an instance of floating-point CFFT/CIFFT structure. + * @param[in] N length of the DCT4. + * @param[in] Nby2 half of the length of the DCT4. + * @param[in] normalize normalizing factor. + * @return arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLenReal</code> is not a supported transform length. + * \par Normalizing factor: + * The normalizing factor is <code>sqrt(2/N)</code>, which depends on the size of transform <code>N</code>. + * Floating-point normalizing factors are mentioned in the table below for different DCT sizes: + * \image html dct4NormalizingF32Table.gif + */ + +arm_status arm_dct4_init_f32( + arm_dct4_instance_f32 * S, + arm_rfft_instance_f32 * S_RFFT, + arm_cfft_radix4_instance_f32 * S_CFFT, + uint16_t N, + uint16_t Nby2, + float32_t normalize) +{ + /* Initialize the default arm status */ + arm_status status = ARM_MATH_SUCCESS; + + /* Initializing the pointer array with the weight table base addresses of different lengths */ + float32_t *twiddlePtr[4] = + { (float32_t *) Weights_128, (float32_t *) Weights_512, + (float32_t *) Weights_2048, (float32_t *) Weights_8192 + }; + + /* Initializing the pointer array with the cos factor table base addresses of different lengths */ + float32_t *pCosFactor[4] = + { (float32_t *) cos_factors_128, (float32_t *) cos_factors_512, + (float32_t *) cos_factors_2048, (float32_t *) cos_factors_8192 + }; + + /* Initialize the DCT4 length */ + S->N = N; + + /* Initialize the half of DCT4 length */ + S->Nby2 = Nby2; + + /* Initialize the DCT4 Normalizing factor */ + S->normalize = normalize; + + /* Initialize Real FFT Instance */ + S->pRfft = S_RFFT; + + /* Initialize Complex FFT Instance */ + S->pCfft = S_CFFT; + + switch (N) + { + /* Initialize the table modifier values */ + case 8192u: + S->pTwiddle = twiddlePtr[3]; + S->pCosFactor = pCosFactor[3]; + break; + case 2048u: + S->pTwiddle = twiddlePtr[2]; + S->pCosFactor = pCosFactor[2]; + break; + case 512u: + S->pTwiddle = twiddlePtr[1]; + S->pCosFactor = pCosFactor[1]; + break; + case 128u: + S->pTwiddle = twiddlePtr[0]; + S->pCosFactor = pCosFactor[0]; + break; + default: + status = ARM_MATH_ARGUMENT_ERROR; + } + + /* Initialize the RFFT/RIFFT */ + arm_rfft_init_f32(S->pRfft, S->pCfft, S->N, 0u, 1u); + + /* return the status of DCT4 Init function */ + return (status); +} + +/** + * @} end of DCT4_IDCT4 group + */ |