1079 lines
74 KiB
C
1079 lines
74 KiB
C
#include "inner.h"
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/*
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* Floating-point operations.
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*
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* This file implements the non-inline functions declared in
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* fpr.h, as well as the constants for FFT / iFFT.
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*
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* ==========================(LICENSE BEGIN)============================
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*
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* Copyright (c) 2017-2019 Falcon Project
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*
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* Permission is hereby granted, free of charge, to any person obtaining
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* a copy of this software and associated documentation files (the
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* "Software"), to deal in the Software without restriction, including
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* without limitation the rights to use, copy, modify, merge, publish,
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* distribute, sublicense, and/or sell copies of the Software, and to
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* permit persons to whom the Software is furnished to do so, subject to
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* the following conditions:
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*
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* The above copyright notice and this permission notice shall be
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* included in all copies or substantial portions of the Software.
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*
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* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
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* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
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* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
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* IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY
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* CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT,
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* TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE
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* SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
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*
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* ===========================(LICENSE END)=============================
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*
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* @author Thomas Pornin <thomas.pornin@nccgroup.com>
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*/
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const fpr fpr_gm_tab[] = {
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{0}, {0}, /* unused */
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{-0.000000000000000000000000000}, { 1.000000000000000000000000000},
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{ 0.707106781186547524400844362}, { 0.707106781186547524400844362},
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{-0.707106781186547524400844362}, { 0.707106781186547524400844362},
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{ 0.923879532511286756128183189}, { 0.382683432365089771728459984},
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{-0.382683432365089771728459984}, { 0.923879532511286756128183189},
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{ 0.382683432365089771728459984}, { 0.923879532511286756128183189},
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{-0.923879532511286756128183189}, { 0.382683432365089771728459984},
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{ 0.980785280403230449126182236}, { 0.195090322016128267848284868},
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{-0.195090322016128267848284868}, { 0.980785280403230449126182236},
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{ 0.555570233019602224742830814}, { 0.831469612302545237078788378},
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{-0.831469612302545237078788378}, { 0.555570233019602224742830814},
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{ 0.831469612302545237078788378}, { 0.555570233019602224742830814},
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{-0.555570233019602224742830814}, { 0.831469612302545237078788378},
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{ 0.195090322016128267848284868}, { 0.980785280403230449126182236},
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{-0.980785280403230449126182236}, { 0.195090322016128267848284868},
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{ 0.995184726672196886244836953}, { 0.098017140329560601994195564},
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{-0.098017140329560601994195564}, { 0.995184726672196886244836953},
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{ 0.634393284163645498215171613}, { 0.773010453362736960810906610},
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{-0.773010453362736960810906610}, { 0.634393284163645498215171613},
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{ 0.881921264348355029712756864}, { 0.471396736825997648556387626},
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{-0.471396736825997648556387626}, { 0.881921264348355029712756864},
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{ 0.290284677254462367636192376}, { 0.956940335732208864935797887},
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{-0.956940335732208864935797887}, { 0.290284677254462367636192376},
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{ 0.956940335732208864935797887}, { 0.290284677254462367636192376},
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{-0.290284677254462367636192376}, { 0.956940335732208864935797887},
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{ 0.471396736825997648556387626}, { 0.881921264348355029712756864},
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{-0.881921264348355029712756864}, { 0.471396736825997648556387626},
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{ 0.773010453362736960810906610}, { 0.634393284163645498215171613},
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{-0.634393284163645498215171613}, { 0.773010453362736960810906610},
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{ 0.098017140329560601994195564}, { 0.995184726672196886244836953},
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{-0.995184726672196886244836953}, { 0.098017140329560601994195564},
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{ 0.998795456205172392714771605}, { 0.049067674327418014254954977},
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{-0.049067674327418014254954977}, { 0.998795456205172392714771605},
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{ 0.671558954847018400625376850}, { 0.740951125354959091175616897},
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{-0.740951125354959091175616897}, { 0.671558954847018400625376850},
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{ 0.903989293123443331586200297}, { 0.427555093430282094320966857},
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{-0.427555093430282094320966857}, { 0.903989293123443331586200297},
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{ 0.336889853392220050689253213}, { 0.941544065183020778412509403},
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{-0.941544065183020778412509403}, { 0.336889853392220050689253213},
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{ 0.970031253194543992603984207}, { 0.242980179903263889948274162},
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{-0.242980179903263889948274162}, { 0.970031253194543992603984207},
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{ 0.514102744193221726593693839}, { 0.857728610000272069902269984},
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{-0.857728610000272069902269984}, { 0.514102744193221726593693839},
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{ 0.803207531480644909806676513}, { 0.595699304492433343467036529},
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{-0.595699304492433343467036529}, { 0.803207531480644909806676513},
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{ 0.146730474455361751658850130}, { 0.989176509964780973451673738},
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{-0.989176509964780973451673738}, { 0.146730474455361751658850130},
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{ 0.989176509964780973451673738}, { 0.146730474455361751658850130},
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{-0.146730474455361751658850130}, { 0.989176509964780973451673738},
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{ 0.595699304492433343467036529}, { 0.803207531480644909806676513},
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{-0.803207531480644909806676513}, { 0.595699304492433343467036529},
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{ 0.857728610000272069902269984}, { 0.514102744193221726593693839},
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{-0.514102744193221726593693839}, { 0.857728610000272069902269984},
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{ 0.242980179903263889948274162}, { 0.970031253194543992603984207},
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{-0.970031253194543992603984207}, { 0.242980179903263889948274162},
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{ 0.941544065183020778412509403}, { 0.336889853392220050689253213},
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{-0.336889853392220050689253213}, { 0.941544065183020778412509403},
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{ 0.427555093430282094320966857}, { 0.903989293123443331586200297},
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{-0.903989293123443331586200297}, { 0.427555093430282094320966857},
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{ 0.740951125354959091175616897}, { 0.671558954847018400625376850},
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{-0.671558954847018400625376850}, { 0.740951125354959091175616897},
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{ 0.049067674327418014254954977}, { 0.998795456205172392714771605},
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{-0.998795456205172392714771605}, { 0.049067674327418014254954977},
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{ 0.999698818696204220115765650}, { 0.024541228522912288031734529},
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{-0.024541228522912288031734529}, { 0.999698818696204220115765650},
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{ 0.689540544737066924616730630}, { 0.724247082951466920941069243},
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{-0.724247082951466920941069243}, { 0.689540544737066924616730630},
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{ 0.914209755703530654635014829}, { 0.405241314004989870908481306},
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{-0.405241314004989870908481306}, { 0.914209755703530654635014829},
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{ 0.359895036534988148775104572}, { 0.932992798834738887711660256},
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{-0.932992798834738887711660256}, { 0.359895036534988148775104572},
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{ 0.975702130038528544460395766}, { 0.219101240156869797227737547},
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{-0.219101240156869797227737547}, { 0.975702130038528544460395766},
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{ 0.534997619887097210663076905}, { 0.844853565249707073259571205},
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{-0.844853565249707073259571205}, { 0.534997619887097210663076905},
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{ 0.817584813151583696504920884}, { 0.575808191417845300745972454},
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{-0.575808191417845300745972454}, { 0.817584813151583696504920884},
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{ 0.170961888760301226363642357}, { 0.985277642388941244774018433},
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{-0.985277642388941244774018433}, { 0.170961888760301226363642357},
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{ 0.992479534598709998156767252}, { 0.122410675199216198498704474},
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{-0.122410675199216198498704474}, { 0.992479534598709998156767252},
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{ 0.615231590580626845484913563}, { 0.788346427626606262009164705},
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{-0.788346427626606262009164705}, { 0.615231590580626845484913563},
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{ 0.870086991108711418652292404}, { 0.492898192229784036873026689},
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{-0.492898192229784036873026689}, { 0.870086991108711418652292404},
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{ 0.266712757474898386325286515}, { 0.963776065795439866686464356},
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{-0.963776065795439866686464356}, { 0.266712757474898386325286515},
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{ 0.949528180593036667195936074}, { 0.313681740398891476656478846},
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{-0.313681740398891476656478846}, { 0.949528180593036667195936074},
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{ 0.449611329654606600046294579}, { 0.893224301195515320342416447},
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{-0.893224301195515320342416447}, { 0.449611329654606600046294579},
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{ 0.757208846506484547575464054}, { 0.653172842953776764084203014},
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{-0.653172842953776764084203014}, { 0.757208846506484547575464054},
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{ 0.073564563599667423529465622}, { 0.997290456678690216135597140},
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{-0.997290456678690216135597140}, { 0.073564563599667423529465622},
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{ 0.997290456678690216135597140}, { 0.073564563599667423529465622},
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{-0.073564563599667423529465622}, { 0.997290456678690216135597140},
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{ 0.653172842953776764084203014}, { 0.757208846506484547575464054},
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{-0.757208846506484547575464054}, { 0.653172842953776764084203014},
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{ 0.893224301195515320342416447}, { 0.449611329654606600046294579},
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{-0.449611329654606600046294579}, { 0.893224301195515320342416447},
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{ 0.313681740398891476656478846}, { 0.949528180593036667195936074},
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{-0.949528180593036667195936074}, { 0.313681740398891476656478846},
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{ 0.963776065795439866686464356}, { 0.266712757474898386325286515},
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{-0.266712757474898386325286515}, { 0.963776065795439866686464356},
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{ 0.492898192229784036873026689}, { 0.870086991108711418652292404},
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{-0.870086991108711418652292404}, { 0.492898192229784036873026689},
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{ 0.788346427626606262009164705}, { 0.615231590580626845484913563},
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{-0.615231590580626845484913563}, { 0.788346427626606262009164705},
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{ 0.122410675199216198498704474}, { 0.992479534598709998156767252},
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{-0.992479534598709998156767252}, { 0.122410675199216198498704474},
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{ 0.985277642388941244774018433}, { 0.170961888760301226363642357},
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{-0.170961888760301226363642357}, { 0.985277642388941244774018433},
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{ 0.575808191417845300745972454}, { 0.817584813151583696504920884},
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{-0.817584813151583696504920884}, { 0.575808191417845300745972454},
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{ 0.844853565249707073259571205}, { 0.534997619887097210663076905},
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{-0.534997619887097210663076905}, { 0.844853565249707073259571205},
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{ 0.219101240156869797227737547}, { 0.975702130038528544460395766},
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{-0.975702130038528544460395766}, { 0.219101240156869797227737547},
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{ 0.932992798834738887711660256}, { 0.359895036534988148775104572},
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{-0.359895036534988148775104572}, { 0.932992798834738887711660256},
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{ 0.405241314004989870908481306}, { 0.914209755703530654635014829},
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{-0.914209755703530654635014829}, { 0.405241314004989870908481306},
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{ 0.724247082951466920941069243}, { 0.689540544737066924616730630},
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{-0.689540544737066924616730630}, { 0.724247082951466920941069243},
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{ 0.024541228522912288031734529}, { 0.999698818696204220115765650},
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{-0.999698818696204220115765650}, { 0.024541228522912288031734529},
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{ 0.999924701839144540921646491}, { 0.012271538285719926079408262},
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{-0.012271538285719926079408262}, { 0.999924701839144540921646491},
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{ 0.698376249408972853554813503}, { 0.715730825283818654125532623},
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{-0.715730825283818654125532623}, { 0.698376249408972853554813503},
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{ 0.919113851690057743908477789}, { 0.393992040061048108596188661},
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{-0.393992040061048108596188661}, { 0.919113851690057743908477789},
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{ 0.371317193951837543411934967}, { 0.928506080473215565937167396},
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{-0.928506080473215565937167396}, { 0.371317193951837543411934967},
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{ 0.978317370719627633106240097}, { 0.207111376192218549708116020},
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{-0.207111376192218549708116020}, { 0.978317370719627633106240097},
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{ 0.545324988422046422313987347}, { 0.838224705554838043186996856},
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{-0.838224705554838043186996856}, { 0.545324988422046422313987347},
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{ 0.824589302785025264474803737}, { 0.565731810783613197389765011},
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{-0.565731810783613197389765011}, { 0.824589302785025264474803737},
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{ 0.183039887955140958516532578}, { 0.983105487431216327180301155},
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{-0.983105487431216327180301155}, { 0.183039887955140958516532578},
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{ 0.993906970002356041546922813}, { 0.110222207293883058807899140},
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{-0.110222207293883058807899140}, { 0.993906970002356041546922813},
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{ 0.624859488142386377084072816}, { 0.780737228572094478301588484},
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{-0.780737228572094478301588484}, { 0.624859488142386377084072816},
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{ 0.876070094195406607095844268}, { 0.482183772079122748517344481},
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{-0.482183772079122748517344481}, { 0.876070094195406607095844268},
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{ 0.278519689385053105207848526}, { 0.960430519415565811199035138},
|
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{-0.960430519415565811199035138}, { 0.278519689385053105207848526},
|
|
{ 0.953306040354193836916740383}, { 0.302005949319228067003463232},
|
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{-0.302005949319228067003463232}, { 0.953306040354193836916740383},
|
|
{ 0.460538710958240023633181487}, { 0.887639620402853947760181617},
|
|
{-0.887639620402853947760181617}, { 0.460538710958240023633181487},
|
|
{ 0.765167265622458925888815999}, { 0.643831542889791465068086063},
|
|
{-0.643831542889791465068086063}, { 0.765167265622458925888815999},
|
|
{ 0.085797312344439890461556332}, { 0.996312612182778012627226190},
|
|
{-0.996312612182778012627226190}, { 0.085797312344439890461556332},
|
|
{ 0.998118112900149207125155861}, { 0.061320736302208577782614593},
|
|
{-0.061320736302208577782614593}, { 0.998118112900149207125155861},
|
|
{ 0.662415777590171761113069817}, { 0.749136394523459325469203257},
|
|
{-0.749136394523459325469203257}, { 0.662415777590171761113069817},
|
|
{ 0.898674465693953843041976744}, { 0.438616238538527637647025738},
|
|
{-0.438616238538527637647025738}, { 0.898674465693953843041976744},
|
|
{ 0.325310292162262934135954708}, { 0.945607325380521325730945387},
|
|
{-0.945607325380521325730945387}, { 0.325310292162262934135954708},
|
|
{ 0.966976471044852109087220226}, { 0.254865659604514571553980779},
|
|
{-0.254865659604514571553980779}, { 0.966976471044852109087220226},
|
|
{ 0.503538383725717558691867071}, { 0.863972856121586737918147054},
|
|
{-0.863972856121586737918147054}, { 0.503538383725717558691867071},
|
|
{ 0.795836904608883536262791915}, { 0.605511041404325513920626941},
|
|
{-0.605511041404325513920626941}, { 0.795836904608883536262791915},
|
|
{ 0.134580708507126186316358409}, { 0.990902635427780025108237011},
|
|
{-0.990902635427780025108237011}, { 0.134580708507126186316358409},
|
|
{ 0.987301418157858382399815802}, { 0.158858143333861441684385360},
|
|
{-0.158858143333861441684385360}, { 0.987301418157858382399815802},
|
|
{ 0.585797857456438860328080838}, { 0.810457198252594791726703434},
|
|
{-0.810457198252594791726703434}, { 0.585797857456438860328080838},
|
|
{ 0.851355193105265142261290312}, { 0.524589682678468906215098464},
|
|
{-0.524589682678468906215098464}, { 0.851355193105265142261290312},
|
|
{ 0.231058108280671119643236018}, { 0.972939952205560145467720114},
|
|
{-0.972939952205560145467720114}, { 0.231058108280671119643236018},
|
|
{ 0.937339011912574923201899593}, { 0.348418680249434568419308588},
|
|
{-0.348418680249434568419308588}, { 0.937339011912574923201899593},
|
|
{ 0.416429560097637182562598911}, { 0.909167983090522376563884788},
|
|
{-0.909167983090522376563884788}, { 0.416429560097637182562598911},
|
|
{ 0.732654271672412834615546649}, { 0.680600997795453050594430464},
|
|
{-0.680600997795453050594430464}, { 0.732654271672412834615546649},
|
|
{ 0.036807222941358832324332691}, { 0.999322384588349500896221011},
|
|
{-0.999322384588349500896221011}, { 0.036807222941358832324332691},
|
|
{ 0.999322384588349500896221011}, { 0.036807222941358832324332691},
|
|
{-0.036807222941358832324332691}, { 0.999322384588349500896221011},
|
|
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{ 0.852960604930363657746588082}, { 0.521975292937154342694258318},
|
|
{-0.521975292937154342694258318}, { 0.852960604930363657746588082},
|
|
{ 0.234041958583543423191242045}, { 0.972226497078936305708321144},
|
|
{-0.972226497078936305708321144}, { 0.234041958583543423191242045},
|
|
{ 0.938403534063108112192420774}, { 0.345541324963989065539191723},
|
|
{-0.345541324963989065539191723}, { 0.938403534063108112192420774},
|
|
{ 0.419216888363223956433010020}, { 0.907886116487666212038681480},
|
|
{-0.907886116487666212038681480}, { 0.419216888363223956433010020},
|
|
{ 0.734738878095963464563223604}, { 0.678350043129861486873655042},
|
|
{-0.678350043129861486873655042}, { 0.734738878095963464563223604},
|
|
{ 0.039872927587739811128578738}, { 0.999204758618363895492950001},
|
|
{-0.999204758618363895492950001}, { 0.039872927587739811128578738},
|
|
{ 0.999430604555461772019008327}, { 0.033741171851377584833716112},
|
|
{-0.033741171851377584833716112}, { 0.999430604555461772019008327},
|
|
{ 0.682845546385248068164596123}, { 0.730562769227827561177758850},
|
|
{-0.730562769227827561177758850}, { 0.682845546385248068164596123},
|
|
{ 0.910441292258067196934095369}, { 0.413638312238434547471944324},
|
|
{-0.413638312238434547471944324}, { 0.910441292258067196934095369},
|
|
{ 0.351292756085567125601307623}, { 0.936265667170278246576310996},
|
|
{-0.936265667170278246576310996}, { 0.351292756085567125601307623},
|
|
{ 0.973644249650811925318383912}, { 0.228072083170885739254457379},
|
|
{-0.228072083170885739254457379}, { 0.973644249650811925318383912},
|
|
{ 0.527199134781901348464274575}, { 0.849741768000852489471268395},
|
|
{-0.849741768000852489471268395}, { 0.527199134781901348464274575},
|
|
{ 0.812250586585203913049744181}, { 0.583308652937698294392830961},
|
|
{-0.583308652937698294392830961}, { 0.812250586585203913049744181},
|
|
{ 0.161886393780111837641387995}, { 0.986809401814185476970235952},
|
|
{-0.986809401814185476970235952}, { 0.161886393780111837641387995},
|
|
{ 0.991310859846115418957349799}, { 0.131540028702883111103387493},
|
|
{-0.131540028702883111103387493}, { 0.991310859846115418957349799},
|
|
{ 0.607949784967773667243642671}, { 0.793975477554337164895083757},
|
|
{-0.793975477554337164895083757}, { 0.607949784967773667243642671},
|
|
{ 0.865513624090569082825488358}, { 0.500885382611240786241285004},
|
|
{-0.500885382611240786241285004}, { 0.865513624090569082825488358},
|
|
{ 0.257831102162159005614471295}, { 0.966190003445412555433832961},
|
|
{-0.966190003445412555433832961}, { 0.257831102162159005614471295},
|
|
{ 0.946600913083283570044599823}, { 0.322407678801069848384807478},
|
|
{-0.322407678801069848384807478}, { 0.946600913083283570044599823},
|
|
{ 0.441371268731716692879988968}, { 0.897324580705418281231391836},
|
|
{-0.897324580705418281231391836}, { 0.441371268731716692879988968},
|
|
{ 0.751165131909686411205819422}, { 0.660114342067420478559490747},
|
|
{-0.660114342067420478559490747}, { 0.751165131909686411205819422},
|
|
{ 0.064382630929857460819324537}, { 0.997925286198596012623025462},
|
|
{-0.997925286198596012623025462}, { 0.064382630929857460819324537},
|
|
{ 0.996571145790554847093566910}, { 0.082740264549375693111987083},
|
|
{-0.082740264549375693111987083}, { 0.996571145790554847093566910},
|
|
{ 0.646176012983316364832802220}, { 0.763188417263381271704838297},
|
|
{-0.763188417263381271704838297}, { 0.646176012983316364832802220},
|
|
{ 0.889048355854664562540777729}, { 0.457813303598877221904961155},
|
|
{-0.457813303598877221904961155}, { 0.889048355854664562540777729},
|
|
{ 0.304929229735402406490728633}, { 0.952375012719765858529893608},
|
|
{-0.952375012719765858529893608}, { 0.304929229735402406490728633},
|
|
{ 0.961280485811320641748659653}, { 0.275571819310958163076425168},
|
|
{-0.275571819310958163076425168}, { 0.961280485811320641748659653},
|
|
{ 0.484869248000791101822951699}, { 0.874586652278176112634431897},
|
|
{-0.874586652278176112634431897}, { 0.484869248000791101822951699},
|
|
{ 0.782650596166575738458949301}, { 0.622461279374149972519166721},
|
|
{-0.622461279374149972519166721}, { 0.782650596166575738458949301},
|
|
{ 0.113270952177564349018228733}, { 0.993564135520595333782021697},
|
|
{-0.993564135520595333782021697}, { 0.113270952177564349018228733},
|
|
{ 0.983662419211730274396237776}, { 0.180022901405699522679906590},
|
|
{-0.180022901405699522679906590}, { 0.983662419211730274396237776},
|
|
{ 0.568258952670131549790548489}, { 0.822849781375826332046780034},
|
|
{-0.822849781375826332046780034}, { 0.568258952670131549790548489},
|
|
{ 0.839893794195999504583383987}, { 0.542750784864515906586768661},
|
|
{-0.542750784864515906586768661}, { 0.839893794195999504583383987},
|
|
{ 0.210111836880469621717489972}, { 0.977677357824509979943404762},
|
|
{-0.977677357824509979943404762}, { 0.210111836880469621717489972},
|
|
{ 0.929640895843181265457918066}, { 0.368466829953372331712746222},
|
|
{-0.368466829953372331712746222}, { 0.929640895843181265457918066},
|
|
{ 0.396809987416710328595290911}, { 0.917900775621390457642276297},
|
|
{-0.917900775621390457642276297}, { 0.396809987416710328595290911},
|
|
{ 0.717870045055731736211325329}, { 0.696177131491462944788582591},
|
|
{-0.696177131491462944788582591}, { 0.717870045055731736211325329},
|
|
{ 0.015339206284988101044151868}, { 0.999882347454212525633049627},
|
|
{-0.999882347454212525633049627}, { 0.015339206284988101044151868},
|
|
{ 0.999769405351215321657617036}, { 0.021474080275469507418374898},
|
|
{-0.021474080275469507418374898}, { 0.999769405351215321657617036},
|
|
{ 0.691759258364157774906734132}, { 0.722128193929215321243607198},
|
|
{-0.722128193929215321243607198}, { 0.691759258364157774906734132},
|
|
{ 0.915448716088267819566431292}, { 0.402434650859418441082533934},
|
|
{-0.402434650859418441082533934}, { 0.915448716088267819566431292},
|
|
{ 0.362755724367397216204854462}, { 0.931884265581668106718557199},
|
|
{-0.931884265581668106718557199}, { 0.362755724367397216204854462},
|
|
{ 0.976369731330021149312732194}, { 0.216106797076219509948385131},
|
|
{-0.216106797076219509948385131}, { 0.976369731330021149312732194},
|
|
{ 0.537587076295645482502214932}, { 0.843208239641845437161743865},
|
|
{-0.843208239641845437161743865}, { 0.537587076295645482502214932},
|
|
{ 0.819347520076796960824689637}, { 0.573297166698042212820171239},
|
|
{-0.573297166698042212820171239}, { 0.819347520076796960824689637},
|
|
{ 0.173983873387463827950700807}, { 0.984748501801904218556553176},
|
|
{-0.984748501801904218556553176}, { 0.173983873387463827950700807},
|
|
{ 0.992850414459865090793563344}, { 0.119365214810991364593637790},
|
|
{-0.119365214810991364593637790}, { 0.992850414459865090793563344},
|
|
{ 0.617647307937803932403979402}, { 0.786455213599085757522319464},
|
|
{-0.786455213599085757522319464}, { 0.617647307937803932403979402},
|
|
{ 0.871595086655951034842481435}, { 0.490226483288291154229598449},
|
|
{-0.490226483288291154229598449}, { 0.871595086655951034842481435},
|
|
{ 0.269668325572915106525464462}, { 0.962953266873683886347921481},
|
|
{-0.962953266873683886347921481}, { 0.269668325572915106525464462},
|
|
{ 0.950486073949481721759926101}, { 0.310767152749611495835997250},
|
|
{-0.310767152749611495835997250}, { 0.950486073949481721759926101},
|
|
{ 0.452349587233770874133026703}, { 0.891840709392342727796478697},
|
|
{-0.891840709392342727796478697}, { 0.452349587233770874133026703},
|
|
{ 0.759209188978388033485525443}, { 0.650846684996380915068975573},
|
|
{-0.650846684996380915068975573}, { 0.759209188978388033485525443},
|
|
{ 0.076623861392031492278332463}, { 0.997060070339482978987989949},
|
|
{-0.997060070339482978987989949}, { 0.076623861392031492278332463},
|
|
{ 0.997511456140303459699448390}, { 0.070504573389613863027351471},
|
|
{-0.070504573389613863027351471}, { 0.997511456140303459699448390},
|
|
{ 0.655492852999615385312679701}, { 0.755201376896536527598710756},
|
|
{-0.755201376896536527598710756}, { 0.655492852999615385312679701},
|
|
{ 0.894599485631382678433072126}, { 0.446868840162374195353044389},
|
|
{-0.446868840162374195353044389}, { 0.894599485631382678433072126},
|
|
{ 0.316593375556165867243047035}, { 0.948561349915730288158494826},
|
|
{-0.948561349915730288158494826}, { 0.316593375556165867243047035},
|
|
{ 0.964589793289812723836432159}, { 0.263754678974831383611349322},
|
|
{-0.263754678974831383611349322}, { 0.964589793289812723836432159},
|
|
{ 0.495565261825772531150266670}, { 0.868570705971340895340449876},
|
|
{-0.868570705971340895340449876}, { 0.495565261825772531150266670},
|
|
{ 0.790230221437310055030217152}, { 0.612810082429409703935211936},
|
|
{-0.612810082429409703935211936}, { 0.790230221437310055030217152},
|
|
{ 0.125454983411546238542336453}, { 0.992099313142191757112085445},
|
|
{-0.992099313142191757112085445}, { 0.125454983411546238542336453},
|
|
{ 0.985797509167567424700995000}, { 0.167938294974731178054745536},
|
|
{-0.167938294974731178054745536}, { 0.985797509167567424700995000},
|
|
{ 0.578313796411655563342245019}, { 0.815814410806733789010772660},
|
|
{-0.815814410806733789010772660}, { 0.578313796411655563342245019},
|
|
{ 0.846490938774052078300544488}, { 0.532403127877197971442805218},
|
|
{-0.532403127877197971442805218}, { 0.846490938774052078300544488},
|
|
{ 0.222093620973203534094094721}, { 0.975025345066994146844913468},
|
|
{-0.975025345066994146844913468}, { 0.222093620973203534094094721},
|
|
{ 0.934092550404258914729877883}, { 0.357030961233430032614954036},
|
|
{-0.357030961233430032614954036}, { 0.934092550404258914729877883},
|
|
{ 0.408044162864978680820747499}, { 0.912962190428398164628018233},
|
|
{-0.912962190428398164628018233}, { 0.408044162864978680820747499},
|
|
{ 0.726359155084345976817494315}, { 0.687315340891759108199186948},
|
|
{-0.687315340891759108199186948}, { 0.726359155084345976817494315},
|
|
{ 0.027608145778965741612354872}, { 0.999618822495178597116830637},
|
|
{-0.999618822495178597116830637}, { 0.027608145778965741612354872},
|
|
{ 0.998941293186856850633930266}, { 0.046003182130914628814301788},
|
|
{-0.046003182130914628814301788}, { 0.998941293186856850633930266},
|
|
{ 0.673829000378756060917568372}, { 0.738887324460615147933116508},
|
|
{-0.738887324460615147933116508}, { 0.673829000378756060917568372},
|
|
{ 0.905296759318118774354048329}, { 0.424779681209108833357226189},
|
|
{-0.424779681209108833357226189}, { 0.905296759318118774354048329},
|
|
{ 0.339776884406826857828825803}, { 0.940506070593268323787291309},
|
|
{-0.940506070593268323787291309}, { 0.339776884406826857828825803},
|
|
{ 0.970772140728950302138169611}, { 0.240003022448741486568922365},
|
|
{-0.240003022448741486568922365}, { 0.970772140728950302138169611},
|
|
{ 0.516731799017649881508753876}, { 0.856147328375194481019630732},
|
|
{-0.856147328375194481019630732}, { 0.516731799017649881508753876},
|
|
{ 0.805031331142963597922659282}, { 0.593232295039799808047809426},
|
|
{-0.593232295039799808047809426}, { 0.805031331142963597922659282},
|
|
{ 0.149764534677321517229695737}, { 0.988721691960323767604516485},
|
|
{-0.988721691960323767604516485}, { 0.149764534677321517229695737},
|
|
{ 0.989622017463200834623694454}, { 0.143695033150294454819773349},
|
|
{-0.143695033150294454819773349}, { 0.989622017463200834623694454},
|
|
{ 0.598160706996342311724958652}, { 0.801376171723140219430247777},
|
|
{-0.801376171723140219430247777}, { 0.598160706996342311724958652},
|
|
{ 0.859301818357008404783582139}, { 0.511468850437970399504391001},
|
|
{-0.511468850437970399504391001}, { 0.859301818357008404783582139},
|
|
{ 0.245955050335794611599924709}, { 0.969281235356548486048290738},
|
|
{-0.969281235356548486048290738}, { 0.245955050335794611599924709},
|
|
{ 0.942573197601446879280758735}, { 0.333999651442009404650865481},
|
|
{-0.333999651442009404650865481}, { 0.942573197601446879280758735},
|
|
{ 0.430326481340082633908199031}, { 0.902673318237258806751502391},
|
|
{-0.902673318237258806751502391}, { 0.430326481340082633908199031},
|
|
{ 0.743007952135121693517362293}, { 0.669282588346636065720696366},
|
|
{-0.669282588346636065720696366}, { 0.743007952135121693517362293},
|
|
{ 0.052131704680283321236358216}, { 0.998640218180265222418199049},
|
|
{-0.998640218180265222418199049}, { 0.052131704680283321236358216},
|
|
{ 0.995480755491926941769171600}, { 0.094963495329638998938034312},
|
|
{-0.094963495329638998938034312}, { 0.995480755491926941769171600},
|
|
{ 0.636761861236284230413943435}, { 0.771060524261813773200605759},
|
|
{-0.771060524261813773200605759}, { 0.636761861236284230413943435},
|
|
{ 0.883363338665731594736308015}, { 0.468688822035827933697617870},
|
|
{-0.468688822035827933697617870}, { 0.883363338665731594736308015},
|
|
{ 0.293219162694258650606608599}, { 0.956045251349996443270479823},
|
|
{-0.956045251349996443270479823}, { 0.293219162694258650606608599},
|
|
{ 0.957826413027532890321037029}, { 0.287347459544729526477331841},
|
|
{-0.287347459544729526477331841}, { 0.957826413027532890321037029},
|
|
{ 0.474100214650550014398580015}, { 0.880470889052160770806542929},
|
|
{-0.880470889052160770806542929}, { 0.474100214650550014398580015},
|
|
{ 0.774953106594873878359129282}, { 0.632018735939809021909403706},
|
|
{-0.632018735939809021909403706}, { 0.774953106594873878359129282},
|
|
{ 0.101069862754827824987887585}, { 0.994879330794805620591166107},
|
|
{-0.994879330794805620591166107}, { 0.101069862754827824987887585},
|
|
{ 0.981379193313754574318224190}, { 0.192080397049892441679288205},
|
|
{-0.192080397049892441679288205}, { 0.981379193313754574318224190},
|
|
{ 0.558118531220556115693702964}, { 0.829761233794523042469023765},
|
|
{-0.829761233794523042469023765}, { 0.558118531220556115693702964},
|
|
{ 0.833170164701913186439915922}, { 0.553016705580027531764226988},
|
|
{-0.553016705580027531764226988}, { 0.833170164701913186439915922},
|
|
{ 0.198098410717953586179324918}, { 0.980182135968117392690210009},
|
|
{-0.980182135968117392690210009}, { 0.198098410717953586179324918},
|
|
{ 0.925049240782677590302371869}, { 0.379847208924051170576281147},
|
|
{-0.379847208924051170576281147}, { 0.925049240782677590302371869},
|
|
{ 0.385516053843918864075607949}, { 0.922701128333878570437264227},
|
|
{-0.922701128333878570437264227}, { 0.385516053843918864075607949},
|
|
{ 0.709272826438865651316533772}, { 0.704934080375904908852523758},
|
|
{-0.704934080375904908852523758}, { 0.709272826438865651316533772},
|
|
{ 0.003067956762965976270145365}, { 0.999995293809576171511580126},
|
|
{-0.999995293809576171511580126}, { 0.003067956762965976270145365}
|
|
};
|
|
|
|
const fpr fpr_p2_tab[] = {
|
|
{ 2.00000000000 },
|
|
{ 1.00000000000 },
|
|
{ 0.50000000000 },
|
|
{ 0.25000000000 },
|
|
{ 0.12500000000 },
|
|
{ 0.06250000000 },
|
|
{ 0.03125000000 },
|
|
{ 0.01562500000 },
|
|
{ 0.00781250000 },
|
|
{ 0.00390625000 },
|
|
{ 0.00195312500 }
|
|
};
|