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@ -2,6 +2,8 @@ |
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// It is subject to the license terms in the LICENSE file found in the top-level directory
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// of this distribution and at http://opencv.org/license.html.
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#include "mathfuncs.hpp" |
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namespace cv { namespace hal { |
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CV_CPU_OPTIMIZATION_NAMESPACE_BEGIN |
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@ -409,76 +411,6 @@ void log64f(const double *src, double *dst, int n) |
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#define EXPPOLY_32F_A0 .9670371139572337719125840413672004409288e-2 |
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static const double expTab[] = { |
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1.0 * EXPPOLY_32F_A0, |
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1.0108892860517004600204097905619 * EXPPOLY_32F_A0, |
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1.0218971486541166782344801347833 * EXPPOLY_32F_A0, |
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1.0330248790212284225001082839705 * EXPPOLY_32F_A0, |
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1.0442737824274138403219664787399 * EXPPOLY_32F_A0, |
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1.0556451783605571588083413251529 * EXPPOLY_32F_A0, |
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1.0671404006768236181695211209928 * EXPPOLY_32F_A0, |
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1.0787607977571197937406800374385 * EXPPOLY_32F_A0, |
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1.0905077326652576592070106557607 * EXPPOLY_32F_A0, |
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1.1023825833078409435564142094256 * EXPPOLY_32F_A0, |
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1.1143867425958925363088129569196 * EXPPOLY_32F_A0, |
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1.126521618608241899794798643787 * EXPPOLY_32F_A0, |
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1.1387886347566916537038302838415 * EXPPOLY_32F_A0, |
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1.151189229952982705817759635202 * EXPPOLY_32F_A0, |
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1.1637248587775775138135735990922 * EXPPOLY_32F_A0, |
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1.1763969916502812762846457284838 * EXPPOLY_32F_A0, |
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1.1892071150027210667174999705605 * EXPPOLY_32F_A0, |
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1.2021567314527031420963969574978 * EXPPOLY_32F_A0, |
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1.2152473599804688781165202513388 * EXPPOLY_32F_A0, |
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1.2284805361068700056940089577928 * EXPPOLY_32F_A0, |
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1.2418578120734840485936774687266 * EXPPOLY_32F_A0, |
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1.2553807570246910895793906574423 * EXPPOLY_32F_A0, |
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1.2690509571917332225544190810323 * EXPPOLY_32F_A0, |
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1.2828700160787782807266697810215 * EXPPOLY_32F_A0, |
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1.2968395546510096659337541177925 * EXPPOLY_32F_A0, |
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1.3109612115247643419229917863308 * EXPPOLY_32F_A0, |
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1.3252366431597412946295370954987 * EXPPOLY_32F_A0, |
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1.3396675240533030053600306697244 * EXPPOLY_32F_A0, |
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1.3542555469368927282980147401407 * EXPPOLY_32F_A0, |
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1.3690024229745906119296011329822 * EXPPOLY_32F_A0, |
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1.3839098819638319548726595272652 * EXPPOLY_32F_A0, |
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1.3989796725383111402095281367152 * EXPPOLY_32F_A0, |
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1.4142135623730950488016887242097 * EXPPOLY_32F_A0, |
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1.4296133383919700112350657782751 * EXPPOLY_32F_A0, |
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1.4451808069770466200370062414717 * EXPPOLY_32F_A0, |
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1.4609177941806469886513028903106 * EXPPOLY_32F_A0, |
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1.476826145939499311386907480374 * EXPPOLY_32F_A0, |
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1.4929077282912648492006435314867 * EXPPOLY_32F_A0, |
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1.5091644275934227397660195510332 * EXPPOLY_32F_A0, |
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1.5255981507445383068512536895169 * EXPPOLY_32F_A0, |
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1.5422108254079408236122918620907 * EXPPOLY_32F_A0, |
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1.5590044002378369670337280894749 * EXPPOLY_32F_A0, |
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1.5759808451078864864552701601819 * EXPPOLY_32F_A0, |
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1.5931421513422668979372486431191 * EXPPOLY_32F_A0, |
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1.6104903319492543081795206673574 * EXPPOLY_32F_A0, |
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1.628027421857347766848218522014 * EXPPOLY_32F_A0, |
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1.6457554781539648445187567247258 * EXPPOLY_32F_A0, |
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1.6636765803267364350463364569764 * EXPPOLY_32F_A0, |
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1.6817928305074290860622509524664 * EXPPOLY_32F_A0, |
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1.7001063537185234695013625734975 * EXPPOLY_32F_A0, |
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1.7186192981224779156293443764563 * EXPPOLY_32F_A0, |
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1.7373338352737062489942020818722 * EXPPOLY_32F_A0, |
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1.7562521603732994831121606193753 * EXPPOLY_32F_A0, |
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1.7753764925265212525505592001993 * EXPPOLY_32F_A0, |
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1.7947090750031071864277032421278 * EXPPOLY_32F_A0, |
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1.8142521755003987562498346003623 * EXPPOLY_32F_A0, |
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1.8340080864093424634870831895883 * EXPPOLY_32F_A0, |
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1.8539791250833855683924530703377 * EXPPOLY_32F_A0, |
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1.8741676341102999013299989499544 * EXPPOLY_32F_A0, |
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1.8945759815869656413402186534269 * EXPPOLY_32F_A0, |
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1.9152065613971472938726112702958 * EXPPOLY_32F_A0, |
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1.9360617934922944505980559045667 * EXPPOLY_32F_A0, |
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1.9571441241754002690183222516269 * EXPPOLY_32F_A0, |
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1.9784560263879509682582499181312 * EXPPOLY_32F_A0, |
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}; |
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static float expTab_f[EXPTAB_MASK+1]; |
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static volatile bool extTab_f_initialized = false; |
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// the code below uses _mm_cast* intrinsics, which are not avialable on VS2005
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#if (defined _MSC_VER && _MSC_VER < 1500) || \ |
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(!defined __APPLE__ && defined __GNUC__ && __GNUC__*100 + __GNUC_MINOR__ < 402) |
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@ -494,14 +426,9 @@ void exp32f( const float *_x, float *y, int n ) |
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{ |
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CV_INSTRUMENT_REGION() |
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if( !extTab_f_initialized ) |
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{ |
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for( int j = 0; j <= EXPTAB_MASK; j++ ) |
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expTab_f[j] = (float)expTab[j]; |
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extTab_f_initialized = true; |
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} |
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const float* const expTab_f = cv::details::getExpTab32f(); |
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static const float |
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const float |
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A4 = (float)(1.000000000000002438532970795181890933776 / EXPPOLY_32F_A0), |
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A3 = (float)(.6931471805521448196800669615864773144641 / EXPPOLY_32F_A0), |
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A2 = (float)(.2402265109513301490103372422686535526573 / EXPPOLY_32F_A0), |
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@ -612,7 +539,9 @@ void exp64f( const double *_x, double *y, int n ) |
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{ |
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CV_INSTRUMENT_REGION() |
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static const double |
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const double* const expTab = cv::details::getExpTab64f(); |
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const double |
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A5 = .99999999999999999998285227504999 / EXPPOLY_32F_A0, |
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A4 = .69314718055994546743029643825322 / EXPPOLY_32F_A0, |
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A3 = .24022650695886477918181338054308 / EXPPOLY_32F_A0, |
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@ -737,268 +666,6 @@ void exp64f( const double *_x, double *y, int n ) |
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#define LOGTAB_SCALE 8 |
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#define LOGTAB_MASK ((1 << LOGTAB_SCALE) - 1) |
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static const double CV_DECL_ALIGNED(16) logTab[] = { |
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0.0000000000000000000000000000000000000000, 1.000000000000000000000000000000000000000, |
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.00389864041565732288852075271279318258166, .9961089494163424124513618677042801556420, |
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.00778214044205494809292034119607706088573, .9922480620155038759689922480620155038760, |
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.01165061721997527263705585198749759001657, .9884169884169884169884169884169884169884, |
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.01550418653596525274396267235488267033361, .9846153846153846153846153846153846153846, |
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.01934296284313093139406447562578250654042, .9808429118773946360153256704980842911877, |
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.02316705928153437593630670221500622574241, .9770992366412213740458015267175572519084, |
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.02697658769820207233514075539915211265906, .9733840304182509505703422053231939163498, |
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.03077165866675368732785500469617545604706, .9696969696969696969696969696969696969697, |
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.03455238150665972812758397481047722976656, .9660377358490566037735849056603773584906, |
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.03831886430213659461285757856785494368522, .9624060150375939849624060150375939849624, |
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.04207121392068705056921373852674150839447, .9588014981273408239700374531835205992509, |
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.04580953603129420126371940114040626212953, .9552238805970149253731343283582089552239, |
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.04953393512227662748292900118940451648088, .9516728624535315985130111524163568773234, |
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.05324451451881227759255210685296333394944, .9481481481481481481481481481481481481481, |
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.05694137640013842427411105973078520037234, .9446494464944649446494464944649446494465, |
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.06062462181643483993820353816772694699466, .9411764705882352941176470588235294117647, |
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.06429435070539725460836422143984236754475, .9377289377289377289377289377289377289377, |
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.06795066190850773679699159401934593915938, .9343065693430656934306569343065693430657, |
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.07159365318700880442825962290953611955044, .9309090909090909090909090909090909090909, |
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.07522342123758751775142172846244648098944, .9275362318840579710144927536231884057971, |
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.07884006170777602129362549021607264876369, .9241877256317689530685920577617328519856, |
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.08244366921107458556772229485432035289706, .9208633093525179856115107913669064748201, |
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.08603433734180314373940490213499288074675, .9175627240143369175627240143369175627240, |
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.08961215868968712416897659522874164395031, .9142857142857142857142857142857142857143, |
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.09317722485418328259854092721070628613231, .9110320284697508896797153024911032028470, |
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.09672962645855109897752299730200320482256, .9078014184397163120567375886524822695035, |
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.10026945316367513738597949668474029749630, .9045936395759717314487632508833922261484, |
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.10379679368164355934833764649738441221420, .9014084507042253521126760563380281690141, |
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.10731173578908805021914218968959175981580, .8982456140350877192982456140350877192982, |
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.11081436634029011301105782649756292812530, .8951048951048951048951048951048951048951, |
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.11430477128005862852422325204315711744130, .8919860627177700348432055749128919860627, |
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.11778303565638344185817487641543266363440, .8888888888888888888888888888888888888889, |
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.12124924363286967987640707633545389398930, .8858131487889273356401384083044982698962, |
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.12470347850095722663787967121606925502420, .8827586206896551724137931034482758620690, |
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.12814582269193003360996385708858724683530, .8797250859106529209621993127147766323024, |
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.13157635778871926146571524895989568904040, .8767123287671232876712328767123287671233, |
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.13499516453750481925766280255629681050780, .8737201365187713310580204778156996587031, |
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.13840232285911913123754857224412262439730, .8707482993197278911564625850340136054422, |
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.14179791186025733629172407290752744302150, .8677966101694915254237288135593220338983, |
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.14518200984449788903951628071808954700830, .8648648648648648648648648648648648648649, |
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.14855469432313711530824207329715136438610, .8619528619528619528619528619528619528620, |
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.15191604202584196858794030049466527998450, .8590604026845637583892617449664429530201, |
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.15526612891112392955683674244937719777230, .8561872909698996655518394648829431438127, |
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.15860503017663857283636730244325008243330, .8533333333333333333333333333333333333333, |
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.16193282026931324346641360989451641216880, .8504983388704318936877076411960132890365, |
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.16524957289530714521497145597095368430010, .8476821192052980132450331125827814569536, |
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.16855536102980664403538924034364754334090, .8448844884488448844884488448844884488449, |
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.17185025692665920060697715143760433420540, .8421052631578947368421052631578947368421, |
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.17513433212784912385018287750426679849630, .8393442622950819672131147540983606557377, |
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.17840765747281828179637841458315961062910, .8366013071895424836601307189542483660131, |
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.18167030310763465639212199675966985523700, .8338762214983713355048859934853420195440, |
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.18492233849401198964024217730184318497780, .8311688311688311688311688311688311688312, |
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.18816383241818296356839823602058459073300, .8284789644012944983818770226537216828479, |
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.19139485299962943898322009772527962923050, .8258064516129032258064516129032258064516, |
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.19461546769967164038916962454095482826240, .8231511254019292604501607717041800643087, |
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.19782574332991986754137769821682013571260, .8205128205128205128205128205128205128205, |
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.20102574606059073203390141770796617493040, .8178913738019169329073482428115015974441, |
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.20421554142869088876999228432396193966280, .8152866242038216560509554140127388535032, |
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.20739519434607056602715147164417430758480, .8126984126984126984126984126984126984127, |
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.21056476910734961416338251183333341032260, .8101265822784810126582278481012658227848, |
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.21372432939771812687723695489694364368910, .8075709779179810725552050473186119873817, |
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.21687393830061435506806333251006435602900, .8050314465408805031446540880503144654088, |
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.22001365830528207823135744547471404075630, .8025078369905956112852664576802507836991, |
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.22314355131420973710199007200571941211830, .8000000000000000000000000000000000000000, |
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.22626367865045338145790765338460914790630, .7975077881619937694704049844236760124611, |
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.22937410106484582006380890106811420992010, .7950310559006211180124223602484472049689, |
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.23247487874309405442296849741978803649550, .7925696594427244582043343653250773993808, |
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.23556607131276688371634975283086532726890, .7901234567901234567901234567901234567901, |
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.23864773785017498464178231643018079921600, .7876923076923076923076923076923076923077, |
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.24171993688714515924331749374687206000090, .7852760736196319018404907975460122699387, |
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.24478272641769091566565919038112042471760, .7828746177370030581039755351681957186544, |
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.24783616390458124145723672882013488560910, .7804878048780487804878048780487804878049, |
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.25088030628580937353433455427875742316250, .7781155015197568389057750759878419452888, |
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.25391520998096339667426946107298135757450, .7757575757575757575757575757575757575758, |
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.25694093089750041913887912414793390780680, .7734138972809667673716012084592145015106, |
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.63483920917301017716738442686619237065300, .5300207039337474120082815734989648033126, |
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.63690746223706917739093569252872839570050, .5289256198347107438016528925619834710744, |
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.63897144645792069983514238629140891134750, .5278350515463917525773195876288659793814, |
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.64103117942093124081992527862894348800200, .5267489711934156378600823045267489711934, |
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.64308667860302726193566513757104985415950, .5256673511293634496919917864476386036961, |
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.64513796137358470073053240412264131009600, .5245901639344262295081967213114754098361, |
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.64718504499530948859131740391603671014300, .5235173824130879345603271983640081799591, |
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.64922794662510974195157587018911726772800, .5224489795918367346938775510204081632653, |
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.65126668331495807251485530287027359008800, .5213849287169042769857433808553971486762, |
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.65330127201274557080523663898929953575150, .5203252032520325203252032520325203252033, |
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.65533172956312757406749369692988693714150, .5192697768762677484787018255578093306288, |
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.65735807270835999727154330685152672231200, .5182186234817813765182186234817813765182, |
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.65938031808912778153342060249997302889800, .5171717171717171717171717171717171717172, |
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.66139848224536490484126716182800009846700, .5161290322580645161290322580645161290323, |
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.66341258161706617713093692145776003599150, .5150905432595573440643863179074446680080, |
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.66542263254509037562201001492212526500250, .5140562248995983935742971887550200803213, |
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.66742865127195616370414654738851822912700, .5130260521042084168336673346693386773547, |
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.66943065394262923906154583164607174694550, .5120000000000000000000000000000000000000, |
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.67142865660530226534774556057527661323550, .5109780439121756487025948103792415169661, |
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.67342267521216669923234121597488410770900, .5099601593625498007968127490039840637450, |
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.67541272562017662384192817626171745359900, .5089463220675944333996023856858846918489, |
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.67739882359180603188519853574689477682100, .5079365079365079365079365079365079365079, |
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.67938098479579733801614338517538271844400, .5069306930693069306930693069306930693069, |
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.68135922480790300781450241629499942064300, .5059288537549407114624505928853754940711, |
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.68333355911162063645036823800182901322850, .5049309664694280078895463510848126232742, |
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.68530400309891936760919861626462079584600, .5039370078740157480314960629921259842520, |
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.68727057207096020619019327568821609020250, .5029469548133595284872298624754420432220, |
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.68923328123880889251040571252815425395950, .5019607843137254901960784313725490196078, |
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.69314718055994530941723212145818, 5.0e-01, |
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}; |
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static float logTab_f[(LOGTAB_MASK+1)*2]; |
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static volatile bool logTab_f_initialized = false; |
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#define LOGTAB_TRANSLATE(tab, x, h) (((x) - 1.f)*tab[(h)+1]) |
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static const double ln_2 = 0.69314718055994530941723212145818; |
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@ -1006,15 +673,10 @@ void log32f( const float *_x, float *y, int n ) |
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{ |
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CV_INSTRUMENT_REGION() |
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if( !logTab_f_initialized ) |
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{ |
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for( int j = 0; j < (LOGTAB_MASK+1)*2; j++ ) |
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logTab_f[j] = (float)logTab[j]; |
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logTab_f_initialized = true; |
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} |
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const float* const logTab_f = cv::details::getLogTab32f(); |
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static const int LOGTAB_MASK2_32F = (1 << (23 - LOGTAB_SCALE)) - 1; |
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static const float |
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const int LOGTAB_MASK2_32F = (1 << (23 - LOGTAB_SCALE)) - 1; |
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const float |
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A0 = 0.3333333333333333333333333f, |
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A1 = -0.5f, |
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A2 = 1.f; |
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@ -1082,8 +744,10 @@ void log64f( const double *x, double *y, int n ) |
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{ |
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CV_INSTRUMENT_REGION() |
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static const int64 LOGTAB_MASK2_64F = ((int64)1 << (52 - LOGTAB_SCALE)) - 1; |
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static const double |
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const double* const logTab = cv::details::getLogTab64f(); |
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const int64 LOGTAB_MASK2_64F = ((int64)1 << (52 - LOGTAB_SCALE)) - 1; |
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const double |
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A7 = 1.0, |
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A6 = -0.5, |
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A5 = 0.333333333333333314829616256247390992939472198486328125, |
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