/********************************************************************

 *                                                                  *

 * THIS FILE IS PART OF THE OggVorbis SOFTWARE CODEC SOURCE CODE.   *

 * USE, DISTRIBUTION AND REPRODUCTION OF THIS LIBRARY SOURCE IS     *

 * GOVERNED BY A BSD-STYLE SOURCE LICENSE INCLUDED WITH THIS SOURCE *

 * IN 'COPYING'. PLEASE READ THESE TERMS BEFORE DISTRIBUTING.       *

 *                                                                  *

 * THE OggVorbis SOURCE CODE IS (C) COPYRIGHT 1994-2009             *

 * by the Xiph.Org Foundation http://www.xiph.org/                  *

 *                                                                  *

 ********************************************************************

 function: window functions

 last mod: $Id: window.c 19028 2013-12-02 23:23:39Z tterribe $

 ********************************************************************/

#include <stdlib.h>

#include <math.h>

#include "os.h"

#include "misc.h"

#include "window.h"

static const float vwin64[32] = {

  0.0009460463F, 0.0085006468F, 0.0235352254F, 0.0458950567F,

  0.0753351908F, 0.1115073077F, 0.1539457973F, 0.2020557475F,

  0.2551056759F, 0.3122276645F, 0.3724270287F, 0.4346027792F,

  0.4975789974F, 0.5601459521F, 0.6211085051F, 0.6793382689F,

  0.7338252629F, 0.7837245849F, 0.8283939355F, 0.8674186656F,

  0.9006222429F, 0.9280614787F, 0.9500073081F, 0.9669131782F,

  0.9793740220F, 0.9880792941F, 0.9937636139F, 0.9971582668F,

  0.9989462667F, 0.9997230082F, 0.9999638688F, 0.9999995525F,

};

static const float vwin128[64] = {

  0.0002365472F, 0.0021280687F, 0.0059065254F, 0.0115626550F,

  0.0190823442F, 0.0284463735F, 0.0396300935F, 0.0526030430F,

  0.0673285281F, 0.0837631763F, 0.1018564887F, 0.1215504095F,

  0.1427789367F, 0.1654677960F, 0.1895342001F, 0.2148867160F,

  0.2414252576F, 0.2690412240F, 0.2976177952F, 0.3270303960F,

  0.3571473350F, 0.3878306189F, 0.4189369387F, 0.4503188188F,

  0.4818259135F, 0.5133064334F, 0.5446086751F, 0.5755826278F,

  0.6060816248F, 0.6359640047F, 0.6650947483F, 0.6933470543F,

  0.7206038179F, 0.7467589810F, 0.7717187213F, 0.7954024542F,

  0.8177436264F, 0.8386902831F, 0.8582053981F, 0.8762669622F,

  0.8928678298F, 0.9080153310F, 0.9217306608F, 0.9340480615F,

  0.9450138200F, 0.9546851041F, 0.9631286621F, 0.9704194171F,

  0.9766389810F, 0.9818741197F, 0.9862151938F, 0.9897546035F,

  0.9925852598F, 0.9947991032F, 0.9964856900F, 0.9977308602F,

  0.9986155015F, 0.9992144193F, 0.9995953200F, 0.9998179155F,

  0.9999331503F, 0.9999825563F, 0.9999977357F, 0.9999999720F,

};

static const float vwin256[128] = {

  0.0000591390F, 0.0005321979F, 0.0014780301F, 0.0028960636F,

  0.0047854363F, 0.0071449926F, 0.0099732775F, 0.0132685298F,

  0.0170286741F, 0.0212513119F, 0.0259337111F, 0.0310727950F,

  0.0366651302F, 0.0427069140F, 0.0491939614F, 0.0561216907F,

  0.0634851102F, 0.0712788035F, 0.0794969160F, 0.0881331402F,

  0.0971807028F, 0.1066323515F, 0.1164803426F, 0.1267164297F,

  0.1373318534F, 0.1483173323F, 0.1596630553F, 0.1713586755F,

  0.1833933062F, 0.1957555184F, 0.2084333404F, 0.2214142599F,

  0.2346852280F, 0.2482326664F, 0.2620424757F, 0.2761000481F,

  0.2903902813F, 0.3048975959F, 0.3196059553F, 0.3344988887F,

  0.3495595160F, 0.3647705766F, 0.3801144597F, 0.3955732382F,

  0.4111287047F, 0.4267624093F, 0.4424557009F, 0.4581897696F,

  0.4739456913F, 0.4897044744F, 0.5054471075F, 0.5211546088F,

  0.5368080763F, 0.5523887395F, 0.5678780103F, 0.5832575361F,

  0.5985092508F, 0.6136154277F, 0.6285587300F, 0.6433222619F,

  0.6578896175F, 0.6722449294F, 0.6863729144F, 0.7002589187F,

  0.7138889597F, 0.7272497662F, 0.7403288154F, 0.7531143679F,

  0.7655954985F, 0.7777621249F, 0.7896050322F, 0.8011158947F,

  0.8122872932F, 0.8231127294F, 0.8335866365F, 0.8437043850F,

  0.8534622861F, 0.8628575905F, 0.8718884835F, 0.8805540765F,

  0.8888543947F, 0.8967903616F, 0.9043637797F, 0.9115773078F,

  0.9184344360F, 0.9249394562F, 0.9310974312F, 0.9369141608F,

  0.9423961446F, 0.9475505439F, 0.9523851406F, 0.9569082947F,

  0.9611289005F, 0.9650563408F, 0.9687004405F, 0.9720714191F,

  0.9751798427F, 0.9780365753F, 0.9806527301F, 0.9830396204F,

  0.9852087111F, 0.9871715701F, 0.9889398207F, 0.9905250941F,

  0.9919389832F, 0.9931929973F, 0.9942985174F, 0.9952667537F,

  0.9961087037F, 0.9968351119F, 0.9974564312F, 0.9979827858F,

  0.9984239359F, 0.9987892441F, 0.9990876435F, 0.9993276081F,

  0.9995171241F, 0.9996636648F, 0.9997741654F, 0.9998550016F,

  0.9999119692F, 0.9999502656F, 0.9999744742F, 0.9999885497F,

  0.9999958064F, 0.9999989077F, 0.9999998584F, 0.9999999983F,

};

static const float vwin512[256] = {

  0.0000147849F, 0.0001330607F, 0.0003695946F, 0.0007243509F,

  0.0011972759F, 0.0017882983F, 0.0024973285F, 0.0033242588F,

  0.0042689632F, 0.0053312973F, 0.0065110982F, 0.0078081841F,

  0.0092223540F, 0.0107533880F, 0.0124010466F, 0.0141650703F,

  0.0160451800F, 0.0180410758F, 0.0201524373F, 0.0223789233F,

  0.0247201710F, 0.0271757958F, 0.0297453914F, 0.0324285286F,

  0.0352247556F, 0.0381335972F, 0.0411545545F, 0.0442871045F,

  0.0475306997F, 0.0508847676F, 0.0543487103F, 0.0579219038F,

  0.0616036982F, 0.0653934164F, 0.0692903546F, 0.0732937809F,

  0.0774029356F, 0.0816170305F, 0.0859352485F, 0.0903567428F,

  0.0948806375F, 0.0995060259F, 0.1042319712F, 0.1090575056F,

  0.1139816300F, 0.1190033137F, 0.1241214941F, 0.1293350764F,

  0.1346429333F, 0.1400439046F, 0.1455367974F, 0.1511203852F,

  0.1567934083F, 0.1625545735F, 0.1684025537F, 0.1743359881F,

  0.1803534820F, 0.1864536069F, 0.1926349000F, 0.1988958650F,

  0.2052349715F, 0.2116506555F, 0.2181413191F, 0.2247053313F,

  0.2313410275F, 0.2380467105F, 0.2448206500F, 0.2516610835F,

  0.2585662164F, 0.2655342226F, 0.2725632448F, 0.2796513950F,

  0.2867967551F, 0.2939973773F, 0.3012512852F, 0.3085564739F,

  0.3159109111F, 0.3233125375F, 0.3307592680F, 0.3382489922F,

  0.3457795756F, 0.3533488602F, 0.3609546657F, 0.3685947904F,

  0.3762670121F, 0.3839690896F, 0.3916987634F, 0.3994537572F,

  0.4072317788F, 0.4150305215F, 0.4228476653F, 0.4306808783F,

  0.4385278181F, 0.4463861329F, 0.4542534630F, 0.4621274424F,

  0.4700057001F, 0.4778858615F, 0.4857655502F, 0.4936423891F,

  0.5015140023F, 0.5093780165F, 0.5172320626F, 0.5250737772F,

  0.5329008043F, 0.5407107971F, 0.5485014192F, 0.5562703465F,

  0.5640152688F, 0.5717338914F, 0.5794239366F, 0.5870831457F,

  0.5947092801F, 0.6023001235F, 0.6098534829F, 0.6173671907F,

  0.6248391059F, 0.6322671161F, 0.6396491384F, 0.6469831217F,

  0.6542670475F, 0.6614989319F, 0.6686768267F, 0.6757988210F,

  0.6828630426F, 0.6898676592F, 0.6968108799F, 0.7036909564F,

  0.7105061843F, 0.7172549043F, 0.7239355032F, 0.7305464154F,

  0.7370861235F, 0.7435531598F, 0.7499461068F, 0.7562635986F,

  0.7625043214F, 0.7686670148F, 0.7747504721F, 0.7807535410F,

  0.7866751247F, 0.7925141825F, 0.7982697296F, 0.8039408387F,

  0.8095266395F, 0.8150263196F, 0.8204391248F, 0.8257643590F,

  0.8310013848F, 0.8361496236F, 0.8412085555F, 0.8461777194F,

  0.8510567129F, 0.8558451924F, 0.8605428730F, 0.8651495278F,

  0.8696649882F, 0.8740891432F, 0.8784219392F, 0.8826633797F,

  0.8868135244F, 0.8908724888F, 0.8948404441F, 0.8987176157F,

  0.9025042831F, 0.9062007791F, 0.9098074886F, 0.9133248482F,

  0.9167533451F, 0.9200935163F, 0.9233459472F, 0.9265112712F,

  0.9295901680F, 0.9325833632F, 0.9354916263F, 0.9383157705F,

  0.9410566504F, 0.9437151618F, 0.9462922398F, 0.9487888576F,

  0.9512060252F, 0.9535447882F, 0.9558062262F, 0.9579914516F,

  0.9601016078F, 0.9621378683F, 0.9641014348F, 0.9659935361F,

  0.9678154261F, 0.9695683830F, 0.9712537071F, 0.9728727198F,

  0.9744267618F, 0.9759171916F, 0.9773453842F, 0.9787127293F,

  0.9800206298F, 0.9812705006F, 0.9824637665F, 0.9836018613F,

  0.9846862258F, 0.9857183066F, 0.9866995544F, 0.9876314227F,

  0.9885153662F, 0.9893528393F, 0.9901452948F, 0.9908941823F,

  0.9916009470F, 0.9922670279F, 0.9928938570F, 0.9934828574F,

  0.9940354423F, 0.9945530133F, 0.9950369595F, 0.9954886562F,

  0.9959094633F, 0.9963007242F, 0.9966637649F, 0.9969998925F,

  0.9973103939F, 0.9975965351F, 0.9978595598F, 0.9981006885F,

  0.9983211172F, 0.9985220166F, 0.9987045311F, 0.9988697776F,

  0.9990188449F, 0.9991527924F, 0.9992726499F, 0.9993794157F,

  0.9994740570F, 0.9995575079F, 0.9996306699F, 0.9996944099F,

  0.9997495605F, 0.9997969190F, 0.9998372465F, 0.9998712678F,

  0.9998996704F, 0.9999231041F, 0.9999421807F, 0.9999574732F,

  0.9999695157F, 0.9999788026F, 0.9999857885F, 0.9999908879F,

  0.9999944746F, 0.9999968817F, 0.9999984010F, 0.9999992833F,

  0.9999997377F, 0.9999999317F, 0.9999999911F, 0.9999999999F,

};

static const float vwin1024[512] = {

  0.0000036962F, 0.0000332659F, 0.0000924041F, 0.0001811086F,

  0.0002993761F, 0.0004472021F, 0.0006245811F, 0.0008315063F,

  0.0010679699F, 0.0013339631F, 0.0016294757F, 0.0019544965F,

  0.0023090133F, 0.0026930125F, 0.0031064797F, 0.0035493989F,

  0.0040217533F, 0.0045235250F, 0.0050546946F, 0.0056152418F,

  0.0062051451F, 0.0068243817F, 0.0074729278F, 0.0081507582F,

  0.0088578466F, 0.0095941655F, 0.0103596863F, 0.0111543789F,

  0.0119782122F, 0.0128311538F, 0.0137131701F, 0.0146242260F,

  0.0155642855F, 0.0165333111F, 0.0175312640F, 0.0185581042F,

  0.0196137903F, 0.0206982797F, 0.0218115284F, 0.0229534910F,

  0.0241241208F, 0.0253233698F, 0.0265511886F, 0.0278075263F,

  0.0290923308F, 0.0304055484F, 0.0317471241F, 0.0331170013F,

  0.0345151222F, 0.0359414274F, 0.0373958560F, 0.0388783456F,

  0.0403888325F, 0.0419272511F, 0.0434935347F, 0.0450876148F,

  0.0467094213F, 0.0483588828F, 0.0500359261F, 0.0517404765F,

  0.0534724575F, 0.0552317913F, 0.0570183983F, 0.0588321971F,

  0.0606731048F, 0.0625410369F, 0.0644359070F, 0.0663576272F,

  0.0683061077F, 0.0702812571F, 0.0722829821F, 0.0743111878F,

  0.0763657775F, 0.0784466526F, 0.0805537129F, 0.0826868561F,

  0.0848459782F, 0.0870309736F, 0.0892417345F, 0.0914781514F,

  0.0937401128F, 0.0960275056F, 0.0983402145F, 0.1006781223F,

  0.1030411101F, 0.1054290568F, 0.1078418397F, 0.1102793336F,

  0.1127414119F, 0.1152279457F, 0.1177388042F, 0.1202738544F,

  0.1228329618F, 0.1254159892F, 0.1280227980F, 0.1306532471F,

  0.1333071937F, 0.1359844927F, 0.1386849970F, 0.1414085575F,

  0.1441550230F, 0.1469242403F, 0.1497160539F, 0.1525303063F,

  0.1553668381F, 0.1582254875F, 0.1611060909F, 0.1640084822F,

  0.1669324936F, 0.1698779549F, 0.1728446939F, 0.1758325362F,

  0.1788413055F, 0.1818708232F, 0.1849209084F, 0.1879913785F,

  0.1910820485F, 0.1941927312F, 0.1973232376F, 0.2004733764F,

  0.2036429541F, 0.2068317752F, 0.2100396421F, 0.2132663552F,

  0.2165117125F, 0.2197755102F, 0.2230575422F, 0.2263576007F,

  0.2296754753F, 0.2330109540F, 0.2363638225F, 0.2397338646F,

  0.2431208619F, 0.2465245941F, 0.2499448389F, 0.2533813719F,

  0.2568339669F, 0.2603023956F, 0.2637864277F, 0.2672858312F,

  0.2708003718F, 0.2743298135F, 0.2778739186F, 0.2814324472F,

  0.2850051576F, 0.2885918065F, 0.2921921485F, 0.2958059366F,

  0.2994329219F, 0.3030728538F, 0.3067254799F, 0.3103905462F,

  0.3140677969F, 0.3177569747F, 0.3214578205F, 0.3251700736F,

  0.3288934718F, 0.3326277513F, 0.3363726468F, 0.3401278914F,

  0.3438932168F, 0.3476683533F, 0.3514530297F, 0.3552469734F,

  0.3590499106F, 0.3628615659F, 0.3666816630F, 0.3705099239F,

  0.3743460698F, 0.3781898204F, 0.3820408945F, 0.3858990095F,

  0.3897638820F, 0.3936352274F, 0.3975127601F, 0.4013961936F,

  0.4052852405F, 0.4091796123F, 0.4130790198F, 0.4169831732F,

  0.4208917815F, 0.4248045534F, 0.4287211965F, 0.4326414181F,

  0.4365649248F, 0.4404914225F, 0.4444206167F, 0.4483522125F,

  0.4522859146F, 0.4562214270F, 0.4601584538F, 0.4640966984F,

  0.4680358644F, 0.4719756548F, 0.4759157726F, 0.4798559209F,

  0.4837958024F, 0.4877351199F, 0.4916735765F, 0.4956108751F,

  0.4995467188F, 0.5034808109F, 0.5074128550F, 0.5113425550F,

  0.5152696149F, 0.5191937395F, 0.5231146336F, 0.5270320028F,

  0.5309455530F, 0.5348549910F, 0.5387600239F, 0.5426603597F,

  0.5465557070F, 0.5504457754F, 0.5543302752F, 0.5582089175F,

  0.5620814145F, 0.5659474793F, 0.5698068262F, 0.5736591704F,

  0.5775042283F, 0.5813417176F, 0.5851713571F, 0.5889928670F,

  0.5928059689F, 0.5966103856F, 0.6004058415F, 0.6041920626F,

  0.6079687761F, 0.6117357113F, 0.6154925986F, 0.6192391705F,

  0.6229751612F, 0.6267003064F, 0.6304143441F, 0.6341170137F,

  0.6378080569F, 0.6414872173F, 0.6451542405F, 0.6488088741F,

  0.6524508681F, 0.6560799742F, 0.6596959469F, 0.6632985424F,

  0.6668875197F, 0.6704626398F, 0.6740236662F, 0.6775703649F,

  0.6811025043F, 0.6846198554F, 0.6881221916F, 0.6916092892F,

  0.6950809269F, 0.6985368861F, 0.7019769510F, 0.7054009085F,

  0.7088085484F, 0.7121996632F, 0.7155740484F, 0.7189315023F,

  0.7222718263F, 0.7255948245F, 0.7289003043F, 0.7321880760F,

  0.7354579530F, 0.7387097518F, 0.7419432921F, 0.7451583966F,

  0.7483548915F, 0.7515326059F, 0.7546913723F, 0.7578310265F,

  0.7609514077F, 0.7640523581F, 0.7671337237F, 0.7701953535F,

  0.7732371001F, 0.7762588195F, 0.7792603711F, 0.7822416178F,

  0.7852024259F, 0.7881426654F, 0.7910622097F, 0.7939609356F,

  0.7968387237F, 0.7996954579F, 0.8025310261F, 0.8053453193F,

  0.8081382324F, 0.8109096638F, 0.8136595156F, 0.8163876936F,

  0.8190941071F, 0.8217786690F, 0.8244412960F, 0.8270819086F,

  0.8297004305F, 0.8322967896F, 0.8348709171F, 0.8374227481F,

  0.8399522213F, 0.8424592789F, 0.8449438672F, 0.8474059356F,

  0.8498454378F, 0.8522623306F, 0.8546565748F, 0.8570281348F,

  0.8593769787F, 0.8617030779F, 0.8640064080F, 0.8662869477F,

  0.8685446796F, 0.8707795899F, 0.8729916682F, 0.8751809079F,

  0.8773473059F, 0.8794908626F, 0.8816115819F, 0.8837094713F,

  0.8857845418F, 0.8878368079F, 0.8898662874F, 0.8918730019F,

  0.8938569760F, 0.8958182380F, 0.8977568194F, 0.8996727552F,

  0.9015660837F, 0.9034368465F, 0.9052850885F, 0.9071108577F,

  0.9089142057F, 0.9106951869F, 0.9124538591F, 0.9141902832F,

  0.9159045233F, 0.9175966464F, 0.9192667228F, 0.9209148257F,

  0.9225410313F, 0.9241454187F, 0.9257280701F, 0.9272890704F,

  0.9288285075F, 0.9303464720F, 0.9318430576F, 0.9333183603F,

  0.9347724792F, 0.9362055158F, 0.9376175745F, 0.9390087622F,

  0.9403791881F, 0.9417289644F, 0.9430582055F, 0.9443670283F,

  0.9456555521F, 0.9469238986F, 0.9481721917F, 0.9494005577F,

  0.9506091252F, 0.9517980248F, 0.9529673894F, 0.9541173540F,

  0.9552480557F, 0.9563596334F, 0.9574522282F, 0.9585259830F,

  0.9595810428F, 0.9606175542F, 0.9616356656F, 0.9626355274F,

  0.9636172915F, 0.9645811114F, 0.9655271425F, 0.9664555414F,

  0.9673664664F, 0.9682600774F, 0.9691365355F, 0.9699960034F,

  0.9708386448F, 0.9716646250F, 0.9724741103F, 0.9732672685F,

  0.9740442683F, 0.9748052795F, 0.9755504729F, 0.9762800205F,

  0.9769940950F, 0.9776928703F, 0.9783765210F, 0.9790452223F,

  0.9796991504F, 0.9803384823F, 0.9809633954F, 0.9815740679F,

  0.9821706784F, 0.9827534063F, 0.9833224312F, 0.9838779332F,

  0.9844200928F, 0.9849490910F, 0.9854651087F, 0.9859683274F,

  0.9864589286F, 0.9869370940F, 0.9874030054F, 0.9878568447F,

  0.9882987937F, 0.9887290343F, 0.9891477481F, 0.9895551169F,

  0.9899513220F, 0.9903365446F, 0.9907109658F, 0.9910747662F,

  0.9914281260F, 0.9917712252F, 0.9921042433F, 0.9924273593F,

  0.9927407516F, 0.9930445982F, 0.9933390763F, 0.9936243626F,

  0.9939006331F, 0.9941680631F, 0.9944268269F, 0.9946770982F,

  0.9949190498F, 0.9951528537F, 0.9953786808F, 0.9955967011F,

  0.9958070836F, 0.9960099963F, 0.9962056061F, 0.9963940787F,

  0.9965755786F, 0.9967502693F, 0.9969183129F, 0.9970798704F,

  0.9972351013F, 0.9973841640F, 0.9975272151F, 0.9976644103F,

  0.9977959036F, 0.9979218476F, 0.9980423932F, 0.9981576901F,

  0.9982678862F, 0.9983731278F, 0.9984735596F, 0.9985693247F,

  0.9986605645F, 0.9987474186F, 0.9988300248F, 0.9989085193F,

  0.9989830364F, 0.9990537085F, 0.9991206662F, 0.9991840382F,

  0.9992439513F, 0.9993005303F, 0.9993538982F, 0.9994041757F,

  0.9994514817F, 0.9994959330F, 0.9995376444F, 0.9995767286F,

  0.9996132960F, 0.9996474550F, 0.9996793121F, 0.9997089710F,

  0.9997365339F, 0.9997621003F, 0.9997857677F, 0.9998076311F,

  0.9998277836F, 0.9998463156F, 0.9998633155F, 0.9998788692F,

  0.9998930603F, 0.9999059701F, 0.9999176774F, 0.9999282586F,

  0.9999377880F, 0.9999463370F, 0.9999539749F, 0.9999607685F,

  0.9999667820F, 0.9999720773F, 0.9999767136F, 0.9999807479F,

  0.9999842344F, 0.9999872249F, 0.9999897688F, 0.9999919127F,

  0.9999937009F, 0.9999951749F, 0.9999963738F, 0.9999973342F,

  0.9999980900F, 0.9999986724F, 0.9999991103F, 0.9999994297F,

  0.9999996543F, 0.9999998049F, 0.9999999000F, 0.9999999552F,

  0.9999999836F, 0.9999999957F, 0.9999999994F, 1.0000000000F,

};

static const float vwin2048[1024] = {

  0.0000009241F, 0.0000083165F, 0.0000231014F, 0.0000452785F,

  0.0000748476F, 0.0001118085F, 0.0001561608F, 0.0002079041F,

  0.0002670379F, 0.0003335617F, 0.0004074748F, 0.0004887765F,

  0.0005774661F, 0.0006735427F, 0.0007770054F, 0.0008878533F,

  0.0010060853F, 0.0011317002F, 0.0012646969F, 0.0014050742F,

  0.0015528307F, 0.0017079650F, 0.0018704756F, 0.0020403610F,

  0.0022176196F, 0.0024022497F, 0.0025942495F, 0.0027936173F,

  0.0030003511F, 0.0032144490F, 0.0034359088F, 0.0036647286F,

  0.0039009061F, 0.0041444391F, 0.0043953253F, 0.0046535621F,

  0.0049191472F, 0.0051920781F, 0.0054723520F, 0.0057599664F,

  0.0060549184F, 0.0063572052F, 0.0066668239F, 0.0069837715F,

  0.0073080449F, 0.0076396410F, 0.0079785566F, 0.0083247884F,

  0.0086783330F, 0.0090391871F, 0.0094073470F, 0.0097828092F,

  0.0101655700F, 0.0105556258F, 0.0109529726F, 0.0113576065F,

  0.0117695237F, 0.0121887200F, 0.0126151913F, 0.0130489335F,

  0.0134899422F, 0.0139382130F, 0.0143937415F, 0.0148565233F,

  0.0153265536F, 0.0158038279F, 0.0162883413F, 0.0167800889F,

  0.0172790660F, 0.0177852675F, 0.0182986882F, 0.0188193231F,

  0.0193471668F, 0.0198822141F, 0.0204244594F, 0.0209738974F,

  0.0215305225F, 0.0220943289F, 0.0226653109F, 0.0232434627F,

  0.0238287784F, 0.0244212519F, 0.0250208772F, 0.0256276481F,

  0.0262415582F, 0.0268626014F, 0.0274907711F, 0.0281260608F,

  0.0287684638F, 0.0294179736F, 0.0300745833F, 0.0307382859F,

  0.0314090747F, 0.0320869424F, 0.0327718819F, 0.0334638860F,

  0.0341629474F, 0.0348690586F, 0.0355822122F, 0.0363024004F,

  0.0370296157F, 0.0377638502F, 0.0385050960F, 0.0392533451F,

  0.0400085896F, 0.0407708211F, 0.0415400315F, 0.0423162123F,

  0.0430993552F, 0.0438894515F, 0.0446864926F, 0.0454904698F,

  0.0463013742F, 0.0471191969F, 0.0479439288F, 0.0487755607F,

  0.0496140836F, 0.0504594879F, 0.0513117642F, 0.0521709031F,

  0.0530368949F, 0.0539097297F, 0.0547893979F, 0.0556758894F,

  0.0565691941F, 0.0574693019F, 0.0583762026F, 0.0592898858F,

  0.0602103410F, 0.0611375576F, 0.0620715250F, 0.0630122324F,

  0.0639596688F, 0.0649138234F, 0.0658746848F, 0.0668422421F,

  0.0678164838F, 0.0687973985F, 0.0697849746F, 0.0707792005F,

  0.0717800645F, 0.0727875547F, 0.0738016591F, 0.0748223656F,

  0.0758496620F, 0.0768835359F, 0.0779239751F, 0.0789709668F,

  0.0800244985F, 0.0810845574F, 0.0821511306F, 0.0832242052F,

  0.0843037679F, 0.0853898056F, 0.0864823050F, 0.0875812525F,

  0.0886866347F, 0.0897984378F, 0.0909166480F, 0.0920412513F,

  0.0931722338F, 0.0943095813F, 0.0954532795F, 0.0966033140F,

  0.0977596702F, 0.0989223336F, 0.1000912894F, 0.1012665227F,

  0.1024480185F, 0.1036357616F, 0.1048297369F, 0.1060299290F,

  0.1072363224F, 0.1084489014F, 0.1096676504F, 0.1108925534F,

  0.1121235946F, 0.1133607577F, 0.1146040267F, 0.1158533850F,

  0.1171088163F, 0.1183703040F, 0.1196378312F, 0.1209113812F,

  0.1221909370F, 0.1234764815F, 0.1247679974F, 0.1260654674F,

  0.1273688740F, 0.1286781995F, 0.1299934263F, 0.1313145365F,

  0.1326415121F, 0.1339743349F, 0.1353129866F, 0.1366574490F,

  0.1380077035F, 0.1393637315F, 0.1407255141F, 0.1420930325F,

  0.1434662677F, 0.1448452004F, 0.1462298115F, 0.1476200814F,

  0.1490159906F, 0.1504175195F, 0.1518246482F, 0.1532373569F,

  0.1546556253F, 0.1560794333F, 0.1575087606F, 0.1589435866F,

  0.1603838909F, 0.1618296526F, 0.1632808509F, 0.1647374648F,

  0.1661994731F, 0.1676668546F, 0.1691395880F, 0.1706176516F,

  0.1721010238F, 0.1735896829F, 0.1750836068F, 0.1765827736F,

  0.1780871610F, 0.1795967468F, 0.1811115084F, 0.1826314234F,

  0.1841564689F, 0.1856866221F, 0.1872218600F, 0.1887621595F,

  0.1903074974F, 0.1918578503F, 0.1934131947F, 0.1949735068F,

  0.1965387630F, 0.1981089393F, 0.1996840117F, 0.2012639560F,

  0.2028487479F, 0.2044383630F, 0.2060327766F, 0.2076319642F,

  0.2092359007F, 0.2108445614F, 0.2124579211F, 0.2140759545F,

  0.2156986364F, 0.2173259411F, 0.2189578432F, 0.2205943168F,

  0.2222353361F, 0.2238808751F, 0.2255309076F, 0.2271854073F,

  0.2288443480F, 0.2305077030F, 0.2321754457F, 0.2338475493F,

  0.2355239869F, 0.2372047315F, 0.2388897560F, 0.2405790329F,

  0.2422725350F, 0.2439702347F, 0.2456721043F, 0.2473781159F,

  0.2490882418F, 0.2508024539F, 0.2525207240F, 0.2542430237F,

  0.2559693248F, 0.2576995986F, 0.2594338166F, 0.2611719498F,

  0.2629139695F, 0.2646598466F, 0.2664095520F, 0.2681630564F,

  0.2699203304F, 0.2716813445F, 0.2734460691F, 0.2752144744F,

  0.2769865307F, 0.2787622079F, 0.2805414760F, 0.2823243047F,

  0.2841106637F, 0.2859005227F, 0.2876938509F, 0.2894906179F,

  0.2912907928F, 0.2930943447F, 0.2949012426F, 0.2967114554F,

  0.2985249520F, 0.3003417009F, 0.3021616708F, 0.3039848301F,

  0.3058111471F, 0.3076405901F, 0.3094731273F, 0.3113087266F,

  0.3131473560F, 0.3149889833F, 0.3168335762F, 0.3186811024F,

  0.3205315294F, 0.3223848245F, 0.3242409552F, 0.3260998886F,

  0.3279615918F, 0.3298260319F, 0.3316931758F, 0.3335629903F,

  0.3354354423F, 0.3373104982F, 0.3391881247F, 0.3410682882F,

  0.3429509551F, 0.3448360917F, 0.3467236642F, 0.3486136387F,

  0.3505059811F, 0.3524006575F, 0.3542976336F, 0.3561968753F,

  0.3580983482F, 0.3600020179F, 0.3619078499F, 0.3638158096F,

  0.3657258625F, 0.3676379737F, 0.3695521086F, 0.3714682321F,

  0.3733863094F, 0.3753063055F, 0.3772281852F, 0.3791519134F,

  0.3810774548F, 0.3830047742F, 0.3849338362F, 0.3868646053F,

  0.3887970459F, 0.3907311227F, 0.3926667998F, 0.3946040417F,

  0.3965428125F, 0.3984830765F, 0.4004247978F, 0.4023679403F,

  0.4043124683F, 0.4062583455F, 0.4082055359F, 0.4101540034F,

  0.4121037117F, 0.4140546246F, 0.4160067058F, 0.4179599190F,

  0.4199142277F, 0.4218695956F, 0.4238259861F, 0.4257833627F,

  0.4277416888F, 0.4297009279F, 0.4316610433F, 0.4336219983F,

  0.4355837562F, 0.4375462803F, 0.4395095337F, 0.4414734797F,

  0.4434380815F, 0.4454033021F, 0.4473691046F, 0.4493354521F,

  0.4513023078F, 0.4532696345F, 0.4552373954F, 0.4572055533F,

  0.4591740713F, 0.4611429123F, 0.4631120393F, 0.4650814151F,

  0.4670510028F, 0.4690207650F, 0.4709906649F, 0.4729606651F,

  0.4749307287F, 0.4769008185F, 0.4788708972F, 0.4808409279F,

  0.4828108732F, 0.4847806962F, 0.4867503597F, 0.4887198264F,

  0.4906890593F, 0.4926580213F, 0.4946266753F, 0.4965949840F,

  0.4985629105F, 0.5005304176F, 0.5024974683F, 0.5044640255F,

  0.5064300522F, 0.5083955114F, 0.5103603659F, 0.5123245790F,

  0.5142881136F, 0.5162509328F, 0.5182129997F, 0.5201742774F,

  0.5221347290F, 0.5240943178F, 0.5260530070F, 0.5280107598F,

  0.5299675395F, 0.5319233095F, 0.5338780330F, 0.5358316736F,

  0.5377841946F, 0.5397355596F, 0.5416857320F, 0.5436346755F,

  0.5455823538F, 0.5475287304F, 0.5494737691F, 0.5514174337F,

  0.5533596881F, 0.5553004962F, 0.5572398218F, 0.5591776291F,

  0.5611138821F, 0.5630485449F, 0.5649815818F, 0.5669129570F,

  0.5688426349F, 0.5707705799F, 0.5726967564F, 0.5746211290F,

  0.5765436624F, 0.5784643212F, 0.5803830702F, 0.5822998743F,

  0.5842146984F, 0.5861275076F, 0.5880382669F, 0.5899469416F,

  0.5918534968F, 0.5937578981F, 0.5956601107F, 0.5975601004F,

  0.5994578326F, 0.6013532732F, 0.6032463880F, 0.6051371429F,

  0.6070255039F, 0.6089114372F, 0.6107949090F, 0.6126758856F,

  0.6145543334F, 0.6164302191F, 0.6183035092F, 0.6201741706F,

  0.6220421700F, 0.6239074745F, 0.6257700513F, 0.6276298674F,

  0.6294868903F, 0.6313410873F, 0.6331924262F, 0.6350408745F,

  0.6368864001F, 0.6387289710F, 0.6405685552F, 0.6424051209F,

  0.6442386364F, 0.6460690702F, 0.6478963910F, 0.6497205673F,

  0.6515415682F, 0.6533593625F, 0.6551739194F, 0.6569852082F,

  0.6587931984F, 0.6605978593F, 0.6623991609F, 0.6641970728F,

  0.6659915652F, 0.6677826081F, 0.6695701718F, 0.6713542268F,

  0.6731347437F, 0.6749116932F, 0.6766850461F, 0.6784547736F,

  0.6802208469F, 0.6819832374F, 0.6837419164F, 0.6854968559F,

  0.6872480275F, 0.6889954034F, 0.6907389556F, 0.6924786566F,

  0.6942144788F, 0.6959463950F, 0.6976743780F, 0.6993984008F,

  0.7011184365F, 0.7028344587F, 0.7045464407F, 0.7062543564F,

  0.7079581796F, 0.7096578844F, 0.7113534450F, 0.7130448359F,

  0.7147320316F, 0.7164150070F, 0.7180937371F, 0.7197681970F,

  0.7214383620F, 0.7231042077F, 0.7247657098F, 0.7264228443F,

  0.7280755871F, 0.7297239147F, 0.7313678035F, 0.7330072301F,

  0.7346421715F, 0.7362726046F, 0.7378985069F, 0.7395198556F,

  0.7411366285F, 0.7427488034F, 0.7443563584F, 0.7459592717F,

  0.7475575218F, 0.7491510873F, 0.7507399471F, 0.7523240803F,

  0.7539034661F, 0.7554780839F, 0.7570479136F, 0.7586129349F,

  0.7601731279F, 0.7617284730F, 0.7632789506F, 0.7648245416F,

  0.7663652267F, 0.7679009872F, 0.7694318044F, 0.7709576599F,

  0.7724785354F, 0.7739944130F, 0.7755052749F, 0.7770111035F,

  0.7785118815F, 0.7800075916F, 0.7814982170F, 0.7829837410F,

  0.7844641472F, 0.7859394191F, 0.7874095408F, 0.7888744965F,

  0.7903342706F, 0.7917888476F, 0.7932382124F, 0.7946823501F,

  0.7961212460F, 0.7975548855F, 0.7989832544F, 0.8004063386F,

  0.8018241244F, 0.8032365981F, 0.8046437463F, 0.8060455560F,

  0.8074420141F, 0.8088331080F, 0.8102188253F, 0.8115991536F,

  0.8129740810F, 0.8143435957F, 0.8157076861F, 0.8170663409F,

  0.8184195489F, 0.8197672994F, 0.8211095817F, 0.8224463853F,

  0.8237777001F, 0.8251035161F, 0.8264238235F, 0.8277386129F,

  0.8290478750F, 0.8303516008F, 0.8316497814F, 0.8329424083F,

  0.8342294731F, 0.8355109677F, 0.8367868841F, 0.8380572148F,

  0.8393219523F, 0.8405810893F, 0.8418346190F, 0.8430825345F,

  0.8443248294F, 0.8455614974F, 0.8467925323F, 0.8480179285F,

  0.8492376802F, 0.8504517822F, 0.8516602292F, 0.8528630164F,

  0.8540601391F, 0.8552515928F, 0.8564373733F, 0.8576174766F,

  0.8587918990F, 0.8599606368F, 0.8611236868F, 0.8622810460F,

  0.8634327113F, 0.8645786802F, 0.8657189504F, 0.8668535195F,

  0.8679823857F, 0.8691055472F, 0.8702230025F, 0.8713347503F,

  0.8724407896F, 0.8735411194F, 0.8746357394F, 0.8757246489F,

  0.8768078479F, 0.8778853364F, 0.8789571146F, 0.8800231832F,

  0.8810835427F, 0.8821381942F, 0.8831871387F, 0.8842303777F,

  0.8852679127F, 0.8862997456F, 0.8873258784F, 0.8883463132F,

  0.8893610527F, 0.8903700994F, 0.8913734562F, 0.8923711263F,

  0.8933631129F, 0.8943494196F, 0.8953300500F, 0.8963050083F,

  0.8972742985F, 0.8982379249F, 0.8991958922F, 0.9001482052F,

  0.9010948688F, 0.9020358883F, 0.9029712690F, 0.9039010165F,

  0.9048251367F, 0.9057436357F, 0.9066565195F, 0.9075637946F,

  0.9084654678F, 0.9093615456F, 0.9102520353F, 0.9111369440F,

  0.9120162792F, 0.9128900484F, 0.9137582595F, 0.9146209204F,

  0.9154780394F, 0.9163296248F, 0.9171756853F, 0.9180162296F,

  0.9188512667F, 0.9196808057F, 0.9205048559F, 0.9213234270F,

  0.9221365285F, 0.9229441704F, 0.9237463629F, 0.9245431160F,

  0.9253344404F, 0.9261203465F, 0.9269008453F, 0.9276759477F,

  0.9284456648F, 0.9292100080F, 0.9299689889F, 0.9307226190F,

  0.9314709103F, 0.9322138747F, 0.9329515245F, 0.9336838721F,

  0.9344109300F, 0.9351327108F, 0.9358492275F, 0.9365604931F,

  0.9372665208F, 0.9379673239F, 0.9386629160F, 0.9393533107F,

  0.9400385220F, 0.9407185637F, 0.9413934501F, 0.9420631954F,

  0.9427278141F, 0.9433873208F, 0.9440417304F, 0.9446910576F,

  0.9453353176F, 0.9459745255F, 0.9466086968F, 0.9472378469F,

  0.9478619915F, 0.9484811463F, 0.9490953274F, 0.9497045506F,

  0.9503088323F, 0.9509081888F, 0.9515026365F, 0.9520921921F,

  0.9526768723F, 0.9532566940F, 0.9538316742F, 0.9544018300F,

  0.9549671786F, 0.9555277375F, 0.9560835241F, 0.9566345562F,

  0.9571808513F, 0.9577224275F, 0.9582593027F, 0.9587914949F,

  0.9593190225F, 0.9598419038F, 0.9603601571F, 0.9608738012F,

  0.9613828546F, 0.9618873361F, 0.9623872646F, 0.9628826591F,

  0.9633735388F, 0.9638599227F, 0.9643418303F, 0.9648192808F,

  0.9652922939F, 0.9657608890F, 0.9662250860F, 0.9666849046F,

  0.9671403646F, 0.9675914861F, 0.9680382891F, 0.9684807937F,

  0.9689190202F, 0.9693529890F, 0.9697827203F, 0.9702082347F,

  0.9706295529F, 0.9710466953F, 0.9714596828F, 0.9718685362F,

  0.9722732762F, 0.9726739240F, 0.9730705005F, 0.9734630267F,

  0.9738515239F, 0.9742360134F, 0.9746165163F, 0.9749930540F,

  0.9753656481F, 0.9757343198F, 0.9760990909F, 0.9764599829F,

  0.9768170175F, 0.9771702164F, 0.9775196013F, 0.9778651941F,

  0.9782070167F, 0.9785450909F, 0.9788794388F, 0.9792100824F,

  0.9795370437F, 0.9798603449F, 0.9801800080F, 0.9804960554F,

  0.9808085092F, 0.9811173916F, 0.9814227251F, 0.9817245318F,

  0.9820228343F, 0.9823176549F, 0.9826090160F, 0.9828969402F,

  0.9831814498F, 0.9834625674F, 0.9837403156F, 0.9840147169F,

  0.9842857939F, 0.9845535692F, 0.9848180654F, 0.9850793052F,

  0.9853373113F, 0.9855921062F, 0.9858437127F, 0.9860921535F,

  0.9863374512F, 0.9865796287F, 0.9868187085F, 0.9870547136F,

  0.9872876664F, 0.9875175899F, 0.9877445067F, 0.9879684396F,

  0.9881894112F, 0.9884074444F, 0.9886225619F, 0.9888347863F,

  0.9890441404F, 0.9892506468F, 0.9894543284F, 0.9896552077F,

  0.9898533074F, 0.9900486502F, 0.9902412587F, 0.9904311555F,

  0.9906183633F, 0.9908029045F, 0.9909848019F, 0.9911640779F,

  0.9913407550F, 0.9915148557F, 0.9916864025F, 0.9918554179F,

  0.9920219241F, 0.9921859437F, 0.9923474989F, 0.9925066120F,

  0.9926633054F, 0.9928176012F, 0.9929695218F, 0.9931190891F,

  0.9932663254F, 0.9934112527F, 0.9935538932F, 0.9936942686F,

  0.9938324012F, 0.9939683126F, 0.9941020248F, 0.9942335597F,

  0.9943629388F, 0.9944901841F, 0.9946153170F, 0.9947383593F,

  0.9948593325F, 0.9949782579F, 0.9950951572F, 0.9952100516F,

  0.9953229625F, 0.9954339111F, 0.9955429186F, 0.9956500062F,

  0.9957551948F, 0.9958585056F, 0.9959599593F, 0.9960595769F,

  0.9961573792F, 0.9962533869F, 0.9963476206F, 0.9964401009F,

  0.9965308483F, 0.9966198833F, 0.9967072261F, 0.9967928971F,

  0.9968769164F, 0.9969593041F, 0.9970400804F, 0.9971192651F,

  0.9971968781F, 0.9972729391F, 0.9973474680F, 0.9974204842F,

  0.9974920074F, 0.9975620569F, 0.9976306521F, 0.9976978122F,

  0.9977635565F, 0.9978279039F, 0.9978908736F, 0.9979524842F,

  0.9980127547F, 0.9980717037F, 0.9981293499F, 0.9981857116F,

  0.9982408073F, 0.9982946554F, 0.9983472739F, 0.9983986810F,

  0.9984488947F, 0.9984979328F, 0.9985458132F, 0.9985925534F,

  0.9986381711F, 0.9986826838F, 0.9987261086F, 0.9987684630F,

  0.9988097640F, 0.9988500286F, 0.9988892738F, 0.9989275163F,

  0.9989647727F, 0.9990010597F, 0.9990363938F, 0.9990707911F,

  0.9991042679F, 0.9991368404F, 0.9991685244F, 0.9991993358F,

  0.9992292905F, 0.9992584038F, 0.9992866914F, 0.9993141686F,

  0.9993408506F, 0.9993667526F, 0.9993918895F, 0.9994162761F,

  0.9994399273F, 0.9994628576F, 0.9994850815F, 0.9995066133F,

  0.9995274672F, 0.9995476574F, 0.9995671978F, 0.9995861021F,

  0.9996043841F, 0.9996220573F, 0.9996391352F, 0.9996556310F,

  0.9996715579F, 0.9996869288F, 0.9997017568F, 0.9997160543F,

  0.9997298342F, 0.9997431088F, 0.9997558905F, 0.9997681914F,

  0.9997800236F, 0.9997913990F, 0.9998023292F, 0.9998128261F,

  0.9998229009F, 0.9998325650F, 0.9998418296F, 0.9998507058F,

  0.9998592044F, 0.9998673362F, 0.9998751117F, 0.9998825415F,

  0.9998896358F, 0.9998964047F, 0.9999028584F, 0.9999090066F,

  0.9999148590F, 0.9999204253F, 0.9999257148F, 0.9999307368F,

  0.9999355003F, 0.9999400144F, 0.9999442878F, 0.9999483293F,

  0.9999521472F, 0.9999557499F, 0.9999591457F, 0.9999623426F,

  0.9999653483F, 0.9999681708F, 0.9999708175F, 0.9999732959F,

  0.9999756132F, 0.9999777765F, 0.9999797928F, 0.9999816688F,

  0.9999834113F, 0.9999850266F, 0.9999865211F, 0.9999879009F,

  0.9999891721F, 0.9999903405F, 0.9999914118F, 0.9999923914F,

  0.9999932849F, 0.9999940972F, 0.9999948336F, 0.9999954989F,

  0.9999960978F, 0.9999966349F, 0.9999971146F, 0.9999975411F,

  0.9999979185F, 0.9999982507F, 0.9999985414F, 0.9999987944F,

  0.9999990129F, 0.9999992003F, 0.9999993596F, 0.9999994939F,

  0.9999996059F, 0.9999996981F, 0.9999997732F, 0.9999998333F,

  0.9999998805F, 0.9999999170F, 0.9999999444F, 0.9999999643F,

  0.9999999784F, 0.9999999878F, 0.9999999937F, 0.9999999972F,

  0.9999999990F, 0.9999999997F, 1.0000000000F, 1.0000000000F,

};

static const float vwin4096[2048] = {

  0.0000002310F, 0.0000020791F, 0.0000057754F, 0.0000113197F,

  0.0000187121F, 0.0000279526F, 0.0000390412F, 0.0000519777F,

  0.0000667623F, 0.0000833949F, 0.0001018753F, 0.0001222036F,

  0.0001443798F, 0.0001684037F, 0.0001942754F, 0.0002219947F,

  0.0002515616F, 0.0002829761F, 0.0003162380F, 0.0003513472F,

  0.0003883038F, 0.0004271076F, 0.0004677584F, 0.0005102563F,

  0.0005546011F, 0.0006007928F, 0.0006488311F, 0.0006987160F,

  0.0007504474F, 0.0008040251F, 0.0008594490F, 0.0009167191F,

  0.0009758351F, 0.0010367969F, 0.0010996044F, 0.0011642574F,

  0.0012307558F, 0.0012990994F, 0.0013692880F, 0.0014413216F,

  0.0015151998F, 0.0015909226F, 0.0016684898F, 0.0017479011F,

  0.0018291565F, 0.0019122556F, 0.0019971983F, 0.0020839845F,

  0.0021726138F, 0.0022630861F, 0.0023554012F, 0.0024495588F,

  0.0025455588F, 0.0026434008F, 0.0027430847F, 0.0028446103F,

  0.0029479772F, 0.0030531853F, 0.0031602342F, 0.0032691238F,

  0.0033798538F, 0.0034924239F, 0.0036068338F, 0.0037230833F,

  0.0038411721F, 0.0039610999F, 0.0040828664F, 0.0042064714F,

  0.0043319145F, 0.0044591954F, 0.0045883139F, 0.0047192696F,

  0.0048520622F, 0.0049866914F, 0.0051231569F, 0.0052614583F,

  0.0054015953F, 0.0055435676F, 0.0056873748F, 0.0058330166F,

  0.0059804926F, 0.0061298026F, 0.0062809460F, 0.0064339226F,

  0.0065887320F, 0.0067453738F, 0.0069038476F, 0.0070641531F,

  0.0072262899F, 0.0073902575F, 0.0075560556F, 0.0077236838F,

  0.0078931417F, 0.0080644288F, 0.0082375447F, 0.0084124891F,

  0.0085892615F, 0.0087678614F, 0.0089482885F, 0.0091305422F,

  0.0093146223F, 0.0095005281F, 0.0096882592F, 0.0098778153F,

  0.0100691958F, 0.0102624002F, 0.0104574281F, 0.0106542791F,

  0.0108529525F, 0.0110534480F, 0.0112557651F, 0.0114599032F,

  0.0116658618F, 0.0118736405F, 0.0120832387F, 0.0122946560F,

  0.0125078917F, 0.0127229454F, 0.0129398166F, 0.0131585046F,

  0.0133790090F, 0.0136013292F, 0.0138254647F, 0.0140514149F,

  0.0142791792F, 0.0145087572F, 0.0147401481F, 0.0149733515F,

  0.0152083667F, 0.0154451932F, 0.0156838304F, 0.0159242777F,

  0.0161665345F, 0.0164106001F, 0.0166564741F, 0.0169041557F,

  0.0171536443F, 0.0174049393F, 0.0176580401F, 0.0179129461F,

  0.0181696565F, 0.0184281708F, 0.0186884883F, 0.0189506084F,

  0.0192145303F, 0.0194802535F, 0.0197477772F, 0.0200171008F,

  0.0202882236F, 0.0205611449F, 0.0208358639F, 0.0211123801F,

  0.0213906927F, 0.0216708011F, 0.0219527043F, 0.0222364019F,

  0.0225218930F, 0.0228091769F, 0.0230982529F, 0.0233891203F,

  0.0236817782F, 0.0239762259F, 0.0242724628F, 0.0245704880F,

  0.0248703007F, 0.0251719002F, 0.0254752858F, 0.0257804565F,

  0.0260874117F, 0.0263961506F, 0.0267066722F, 0.0270189760F,

  0.0273330609F, 0.0276489263F, 0.0279665712F, 0.0282859949F,

  0.0286071966F, 0.0289301753F, 0.0292549303F, 0.0295814607F,

  0.0299097656F, 0.0302398442F, 0.0305716957F, 0.0309053191F,

  0.0312407135F, 0.0315778782F, 0.0319168122F, 0.0322575145F,

  0.0325999844F, 0.0329442209F, 0.0332902231F, 0.0336379900F,

  0.0339875208F, 0.0343388146F, 0.0346918703F, 0.0350466871F,

  0.0354032640F, 0.0357616000F, 0.0361216943F, 0.0364835458F,

  0.0368471535F, 0.0372125166F, 0.0375796339F, 0.0379485046F,

  0.0383191276F, 0.0386915020F, 0.0390656267F, 0.0394415008F,

  0.0398191231F, 0.0401984927F, 0.0405796086F, 0.0409624698F,

  0.0413470751F, 0.0417334235F, 0.0421215141F, 0.0425113457F,

  0.0429029172F, 0.0432962277F, 0.0436912760F, 0.0440880610F,

  0.0444865817F, 0.0448868370F, 0.0452888257F, 0.0456925468F,

  0.0460979992F, 0.0465051816F, 0.0469140931F, 0.0473247325F,

  0.0477370986F, 0.0481511902F, 0.0485670064F, 0.0489845458F,

  0.0494038074F, 0.0498247899F, 0.0502474922F, 0.0506719131F,

  0.0510980514F, 0.0515259060F, 0.0519554756F, 0.0523867590F,

  0.0528197550F, 0.0532544624F, 0.0536908800F, 0.0541290066F,

  0.0545688408F, 0.0550103815F, 0.0554536274F, 0.0558985772F,

  0.0563452297F, 0.0567935837F, 0.0572436377F, 0.0576953907F,

  0.0581488412F, 0.0586039880F, 0.0590608297F, 0.0595193651F,

  0.0599795929F, 0.0604415117F, 0.0609051202F, 0.0613704170F,

  0.0618374009F, 0.0623060704F, 0.0627764243F, 0.0632484611F,

  0.0637221795F, 0.0641975781F, 0.0646746555F, 0.0651534104F,

  0.0656338413F, 0.0661159469F, 0.0665997257F, 0.0670851763F,

  0.0675722973F, 0.0680610873F, 0.0685515448F, 0.0690436684F,

  0.0695374567F, 0.0700329081F, 0.0705300213F, 0.0710287947F,

  0.0715292269F, 0.0720313163F, 0.0725350616F, 0.0730404612F,

  0.0735475136F, 0.0740562172F, 0.0745665707F, 0.0750785723F,

  0.0755922207F, 0.0761075143F, 0.0766244515F, 0.0771430307F,

  0.0776632505F, 0.0781851092F, 0.0787086052F, 0.0792337371F,

  0.0797605032F, 0.0802889018F, 0.0808189315F, 0.0813505905F,

  0.0818838773F, 0.0824187903F, 0.0829553277F, 0.0834934881F,

  0.0840332697F, 0.0845746708F, 0.0851176899F, 0.0856623252F,

  0.0862085751F, 0.0867564379F, 0.0873059119F, 0.0878569954F,

  0.0884096867F, 0.0889639840F, 0.0895198858F, 0.0900773902F,

  0.0906364955F, 0.0911972000F, 0.0917595019F, 0.0923233995F,

  0.0928888909F, 0.0934559745F, 0.0940246485F, 0.0945949110F,

  0.0951667604F, 0.0957401946F, 0.0963152121F, 0.0968918109F,

  0.0974699893F, 0.0980497454F, 0.0986310773F, 0.0992139832F,

  0.0997984614F, 0.1003845098F, 0.1009721267F, 0.1015613101F,

  0.1021520582F, 0.1027443692F, 0.1033382410F, 0.1039336718F,

  0.1045306597F, 0.1051292027F, 0.1057292990F, 0.1063309466F,

  0.1069341435F, 0.1075388878F, 0.1081451776F, 0.1087530108F,

  0.1093623856F, 0.1099732998F, 0.1105857516F, 0.1111997389F,

  0.1118152597F, 0.1124323121F, 0.1130508939F, 0.1136710032F,

  0.1142926379F, 0.1149157960F, 0.1155404755F, 0.1161666742F,

  0.1167943901F, 0.1174236211F, 0.1180543652F, 0.1186866202F,

  0.1193203841F, 0.1199556548F, 0.1205924300F, 0.1212307078F,

  0.1218704860F, 0.1225117624F, 0.1231545349F, 0.1237988013F,

  0.1244445596F, 0.1250918074F, 0.1257405427F, 0.1263907632F,

  0.1270424667F, 0.1276956512F, 0.1283503142F, 0.1290064537F,

  0.1296640674F, 0.1303231530F, 0.1309837084F, 0.1316457312F,

  0.1323092193F, 0.1329741703F, 0.1336405820F, 0.1343084520F,

  0.1349777782F, 0.1356485582F, 0.1363207897F, 0.1369944704F,

  0.1376695979F, 0.1383461700F, 0.1390241842F, 0.1397036384F,

  0.1403845300F, 0.1410668567F, 0.1417506162F, 0.1424358061F,

  0.1431224240F, 0.1438104674F, 0.1444999341F, 0.1451908216F,

  0.1458831274F, 0.1465768492F, 0.1472719844F, 0.1479685308F,

  0.1486664857F, 0.1493658468F, 0.1500666115F, 0.1507687775F,

  0.1514723422F, 0.1521773031F, 0.1528836577F, 0.1535914035F,

  0.1543005380F, 0.1550110587F, 0.1557229631F, 0.1564362485F,

  0.1571509124F, 0.1578669524F, 0.1585843657F, 0.1593031499F,

  0.1600233024F, 0.1607448205F, 0.1614677017F, 0.1621919433F,

  0.1629175428F, 0.1636444975F, 0.1643728047F, 0.1651024619F,

  0.1658334665F, 0.1665658156F, 0.1672995067F, 0.1680345371F,

  0.1687709041F, 0.1695086050F, 0.1702476372F, 0.1709879978F,

  0.1717296843F, 0.1724726938F, 0.1732170237F, 0.1739626711F,

  0.1747096335F, 0.1754579079F, 0.1762074916F, 0.1769583819F,

  0.1777105760F, 0.1784640710F, 0.1792188642F, 0.1799749529F,

  0.1807323340F, 0.1814910049F, 0.1822509628F, 0.1830122046F,

  0.1837747277F, 0.1845385292F, 0.1853036062F, 0.1860699558F,

  0.1868375751F, 0.1876064613F, 0.1883766114F, 0.1891480226F,

  0.1899206919F, 0.1906946164F, 0.1914697932F, 0.1922462194F,

  0.1930238919F, 0.1938028079F, 0.1945829643F, 0.1953643583F,

  0.1961469868F, 0.1969308468F, 0.1977159353F, 0.1985022494F,

  0.1992897859F, 0.2000785420F, 0.2008685145F, 0.2016597005F,

  0.2024520968F, 0.2032457005F, 0.2040405084F, 0.2048365175F,

  0.2056337247F, 0.2064321269F, 0.2072317211F, 0.2080325041F,

  0.2088344727F, 0.2096376240F, 0.2104419547F, 0.2112474618F,

  0.2120541420F, 0.2128619923F, 0.2136710094F, 0.2144811902F,

  0.2152925315F, 0.2161050301F, 0.2169186829F, 0.2177334866F,

  0.2185494381F, 0.2193665340F, 0.2201847712F, 0.2210041465F,

  0.2218246565F, 0.2226462981F, 0.2234690680F, 0.2242929629F,

  0.2251179796F, 0.2259441147F, 0.2267713650F, 0.2275997272F,

  0.2284291979F, 0.2292597739F, 0.2300914518F, 0.2309242283F,

  0.2317581001F, 0.2325930638F, 0.2334291160F, 0.2342662534F,

  0.2351044727F, 0.2359437703F, 0.2367841431F, 0.2376255875F,

  0.2384681001F, 0.2393116776F, 0.2401563165F, 0.2410020134F,

  0.2418487649F, 0.2426965675F, 0.2435454178F, 0.2443953122F,

  0.2452462474F, 0.2460982199F, 0.2469512262F, 0.2478052628F,

  0.2486603262F, 0.2495164129F, 0.2503735194F, 0.2512316421F,

  0.2520907776F, 0.2529509222F, 0.2538120726F, 0.2546742250F,

  0.2555373760F, 0.2564015219F, 0.2572666593F, 0.2581327845F,

  0.2589998939F, 0.2598679840F, 0.2607370510F, 0.2616070916F,

  0.2624781019F, 0.2633500783F, 0.2642230173F, 0.2650969152F,

  0.2659717684F, 0.2668475731F, 0.2677243257F, 0.2686020226F,

  0.2694806601F, 0.2703602344F, 0.2712407419F, 0.2721221789F,

  0.2730045417F, 0.2738878265F, 0.2747720297F, 0.2756571474F,

  0.2765431760F, 0.2774301117F, 0.2783179508F, 0.2792066895F,

  0.2800963240F, 0.2809868505F, 0.2818782654F, 0.2827705647F,

  0.2836637447F, 0.2845578016F, 0.2854527315F, 0.2863485307F,

  0.2872451953F, 0.2881427215F, 0.2890411055F, 0.2899403433F,

  0.2908404312F, 0.2917413654F, 0.2926431418F, 0.2935457567F,

  0.2944492061F, 0.2953534863F, 0.2962585932F, 0.2971645230F,

  0.2980712717F, 0.2989788356F, 0.2998872105F, 0.3007963927F,

  0.3017063781F, 0.3026171629F, 0.3035287430F, 0.3044411145F,

  0.3053542736F, 0.3062682161F, 0.3071829381F, 0.3080984356F,

  0.3090147047F, 0.3099317413F, 0.3108495414F, 0.3117681011F,

  0.3126874163F, 0.3136074830F, 0.3145282972F, 0.3154498548F,

  0.3163721517F, 0.3172951841F, 0.3182189477F, 0.3191434385F,

  0.3200686525F, 0.3209945856F, 0.3219212336F, 0.3228485927F,

  0.3237766585F, 0.3247054271F, 0.3256348943F, 0.3265650560F,

  0.3274959081F, 0.3284274465F, 0.3293596671F, 0.3302925657F,

  0.3312261382F, 0.3321603804F, 0.3330952882F, 0.3340308574F,

  0.3349670838F, 0.3359039634F, 0.3368414919F, 0.3377796651F,

  0.3387184789F, 0.3396579290F, 0.3405980113F, 0.3415387216F,

  0.3424800556F, 0.3434220091F, 0.3443645779F, 0.3453077578F,

  0.3462515446F, 0.3471959340F, 0.3481409217F, 0.3490865036F,

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