permroots.cpp

普林斯顿开发的快速球面调和变换算法

  -0.990058210262297, -0.990058210262297, 0.1406582393328495, 
  0.990058210262297, -0.1406582393328492, 0.988257567730749, 
  0.1527971852584434, -0.988257567730749, -0.1527971852584437, 
  -0.1527971852584433, 0.988257567730749, 0.1527971852584434, 
  -0.988257567730749, 0.590759701858874, 0.806847553543799, 
  -0.590759701858874, -0.806847553543799, -0.806847553543799, 
  0.590759701858874, 0.806847553543799, -0.590759701858874, 
  0.854557988365400, 0.519355990165590, -0.854557988365400, 
  -0.519355990165590, -0.519355990165590, 0.854557988365401, 
  0.519355990165590, -0.854557988365401, 0.2370236059943673, 
  0.971503890986252, -0.2370236059943672, -0.971503890986252, 
  -0.971503890986252, 0.2370236059943672, 0.971503890986252, 
  -0.2370236059943672, 0.939459223602190, 0.342660717311994, 
  -0.939459223602190, -0.342660717311994, -0.342660717311994, 
  0.939459223602190, 0.342660717311994, -0.939459223602190, 
  0.422000270799800, 0.906595704514915, -0.422000270799800, 
  -0.906595704514915, -0.906595704514915, 0.422000270799800, 
  0.906595704514915, -0.422000270799800, 0.736816568877370, 
  0.676092703575316, -0.736816568877370, -0.676092703575316, 
  -0.676092703575316, 0.736816568877370, 0.676092703575316, 
  -0.736816568877370, 0.04293825693494096, 0.999077727752645, 
  -0.04293825693494084, -0.999077727752645, -0.999077727752645, 
  0.04293825693494103, 0.999077727752645, -0.04293825693494082, 
  0.999529417501093, 0.03067480317663663, -0.999529417501093, 
  -0.03067480317663687, -0.03067480317663646, 0.999529417501093, 
  0.03067480317663658, -0.999529417501093, 0.685083667772700, 
  0.728464390448225, -0.685083667772700, -0.728464390448225, 
  -0.728464390448225, 0.685083667772700, 0.728464390448225, 
  -0.685083667772700, 0.911706032005430, 0.410843171057904, 
  -0.911706032005430, -0.410843171057904, -0.410843171057904, 
  0.911706032005430, 0.410843171057904, -0.911706032005430, 
  0.354163525420491, 0.935183509938947, -0.354163525420490, 
  -0.935183509938948, -0.935183509938948, 0.354163525420490, 
  0.935183509938948, -0.354163525420490, 0.974339382785576, 
  0.2250839113597928, -0.974339382785576, -0.2250839113597928, 
  -0.2250839113597927, 0.974339382785576, 0.2250839113597927, 
  -0.974339382785576, 0.529803624686295, 0.848120344803297, 
  -0.529803624686295, -0.848120344803297, -0.848120344803297, 
  0.529803624686295, 0.848120344803297, -0.529803624686295, 
  0.814036329705948, 0.580813958095765, -0.814036329705948, 
  -0.580813958095765, -0.580813958095764, 0.814036329705948, 
  0.580813958095765, -0.814036329705948, 0.1649131204899701, 
  0.986308097244599, -0.1649131204899699, -0.986308097244599, 
  -0.986308097244599, 0.1649131204899701, 0.986308097244599, 
  -0.1649131204899699, 0.991709753669100, 0.1284981107937932, 
  -0.991709753669100, -0.128498110793793, -0.1284981107937931, 
  0.991709753669100, 0.1284981107937932, -0.991709753669100, 
  0.610382806276309, 0.792106577300212, -0.610382806276309, 
  -0.792106577300212, -0.792106577300212, 0.610382806276310, 
  0.792106577300212, -0.610382806276309, 0.867046245515693, 
  0.498227666972782, -0.867046245515693, -0.498227666972782, 
  -0.498227666972782, 0.867046245515693, 0.498227666972782, 
  -0.867046245515693, 0.260794117915276, 0.965394441697689, 
  -0.260794117915275, -0.965394441697689, -0.965394441697689, 
  0.260794117915276, 0.965394441697689, -0.260794117915276, 
  0.947585591017741, 0.319502030816016, -0.947585591017741, 
  -0.319502030816016, -0.319502030816016, 0.947585591017741, 
  0.319502030816016, -0.947585591017741, 0.444122144570429, 
  0.895966249756185, -0.444122144570429, -0.895966249756185, 
  -0.895966249756185, 0.444122144570429, 0.895966249756185, 
  -0.444122144570429, 0.753186799043613, 0.657806693297079, 
  -0.753186799043612, -0.657806693297079, -0.657806693297079, 
  0.753186799043613, 0.657806693297079, -0.753186799043612, 
  0.06744391956366412, 0.997723066644192, -0.067443919563664, 
  -0.997723066644192, -0.997723066644192, 0.06744391956366418, 
  0.997723066644192, -0.06744391956366405, 0.996820299291166, 
  0.07968243797143014, -0.996820299291166, -0.0796824379714302, 
  -0.07968243797143002, 0.996820299291166, 0.07968243797143014, 
  -0.996820299291166, 0.648514401022113, 0.761202385484262, 
  -0.648514401022112, -0.761202385484262, -0.761202385484262, 
  0.648514401022113, 0.761202385484262, -0.648514401022112, 
  0.890448723244758, 0.455083587126344, -0.890448723244758, 
  -0.455083587126344, -0.455083587126344, 0.890448723244758, 
  0.455083587126344, -0.890448723244758, 0.307849640041535, 
  0.951435020969008, -0.307849640041535, -0.951435020969008, 
  -0.951435020969008, 0.307849640041535, 0.951435020969008, 
  -0.307849640041535, 0.962121404269042, 0.272621355449949, 
  -0.962121404269042, -0.272621355449949, -0.272621355449949, 
  0.962121404269042, 0.272621355449949, -0.962121404269042, 
  0.487550160148436, 0.873094978418290, -0.487550160148436, 
  -0.873094978418290, -0.873094978418290, 0.487550160148436, 
  0.873094978418290, -0.487550160148436, 0.784556597155575, 
  0.620057211763289, -0.784556597155575, -0.620057211763289, 
  -0.620057211763289, 0.784556597155575, 0.620057211763289, 
  -0.784556597155575, 0.1163186309119049, 0.993211949234795, 
  -0.1163186309119047, -0.993211949234795, -0.993211949234795, 
  0.1163186309119047, 0.993211949234795, -0.1163186309119047, 
  0.984210092386929, 0.1770042204121487, -0.984210092386929, 
  -0.1770042204121489, -0.1770042204121487, 0.984210092386929, 
  0.1770042204121489, -0.984210092386929, 0.570780745886967, 
  0.821102514991105, -0.570780745886967, -0.821102514991105, 
  -0.821102514991105, 0.570780745886967, 0.821102514991105, 
  -0.570780745886967, 0.841554977436898, 0.540171472729893, 
  -0.841554977436898, -0.540171472729893, -0.540171472729893, 
  0.841554977436898, 0.540171472729893, -0.841554977436898, 
  0.2131103199160913, 0.977028142657754, -0.2131103199160913, 
  -0.977028142657754, -0.977028142657754, 0.2131103199160914, 
  0.977028142657754, -0.2131103199160913, 0.930766961078984, 
  0.365612997804774, -0.930766961078984, -0.365612997804774, 
  -0.365612997804774, 0.930766961078984, 0.365612997804774, 
  -0.930766961078984, 0.399624199845647, 0.916679059921043, 
  -0.399624199845647, -0.916679059921043, -0.916679059921043, 
  0.399624199845647, 0.916679059921043, -0.399624199845647, 
  0.720002507961382, 0.693971460889654, -0.720002507961382, 
  -0.693971460889654, -0.693971460889654, 0.720002507961382, 
  0.693971460889654, -0.720002507961382, 0.01840672990580482, 
  0.999830581795823, -0.01840672990580469, -0.999830581795824, 
  -0.999830581795823, 0.0184067299058051, 0.999830581795823, 
  -0.01840672990580482, 0.999830581795823, 0.01840672990580482, 
  -0.999830581795823, -0.0184067299058051, -0.01840672990580469, 
  0.999830581795824, 0.01840672990580482, -0.999830581795823, 
  0.693971460889654, 0.720002507961382, -0.693971460889654, 
  -0.720002507961382, -0.720002507961382, 0.693971460889654, 
  0.720002507961382, -0.693971460889654, 0.916679059921043, 
  0.399624199845647, -0.916679059921043, -0.399624199845647, 
  -0.399624199845647, 0.916679059921043, 0.399624199845647, 
  -0.916679059921043, 0.365612997804774, 0.930766961078984, 
  -0.365612997804774, -0.930766961078984, -0.930766961078984, 
  0.365612997804774, 0.930766961078984, -0.365612997804774, 
  0.977028142657754, 0.2131103199160913, -0.977028142657754, 
  -0.2131103199160914, -0.2131103199160913, 0.977028142657754, 
  0.2131103199160913, -0.977028142657754, 0.540171472729893, 
  0.841554977436898, -0.540171472729893, -0.841554977436898, 
  -0.841554977436898, 0.540171472729893, 0.841554977436898, 
  -0.540171472729893, 0.821102514991105, 0.570780745886967, 
  -0.821102514991105, -0.570780745886967, -0.570780745886967, 
  0.821102514991105, 0.570780745886967, -0.821102514991105, 
  0.1770042204121489, 0.984210092386929, -0.1770042204121487, 
  -0.984210092386929, -0.984210092386929, 0.1770042204121489, 
  0.984210092386929, -0.1770042204121487, 0.993211949234795, 
  0.1163186309119047, -0.993211949234795, -0.1163186309119047, 
  -0.1163186309119047, 0.993211949234795, 0.1163186309119049, 
  -0.993211949234795, 0.620057211763289, 0.784556597155575, 
  -0.620057211763289, -0.784556597155575, -0.784556597155575, 
  0.620057211763289, 0.784556597155575, -0.620057211763289, 
  0.873094978418290, 0.487550160148436, -0.873094978418290, 
  -0.487550160148436, -0.487550160148436, 0.873094978418290, 
  0.487550160148436, -0.873094978418290, 0.272621355449949, 
  0.962121404269042, -0.272621355449949, -0.962121404269042, 
  -0.962121404269042, 0.272621355449949, 0.962121404269042, 
  -0.272621355449949, 0.951435020969008, 0.307849640041535, 
  -0.951435020969008, -0.307849640041535, -0.307849640041535, 
  0.951435020969008, 0.307849640041535, -0.951435020969008, 
  0.455083587126344, 0.890448723244758, -0.455083587126344, 
  -0.890448723244758, -0.890448723244758, 0.455083587126344, 
  0.890448723244758, -0.455083587126344, 0.761202385484262, 
  0.648514401022112, -0.761202385484262, -0.648514401022113, 
  -0.648514401022112, 0.761202385484262, 0.648514401022113, 
  -0.761202385484262, 0.07968243797143014, 0.996820299291166, 
  -0.07968243797143002, -0.996820299291166, -0.996820299291166, 
  0.0796824379714302, 0.996820299291166, -0.07968243797143014, 
  0.997723066644192, 0.06744391956366405, -0.997723066644192, 
  -0.06744391956366418, -0.067443919563664, 0.997723066644192, 
  0.06744391956366412, -0.997723066644192, 0.657806693297079, 
  0.753186799043612, -0.657806693297079, -0.753186799043613, 
  -0.753186799043612, 0.657806693297079, 0.753186799043613, 
  -0.657806693297079, 0.895966249756185, 0.444122144570429, 
  -0.895966249756185, -0.444122144570429, -0.444122144570429, 
  0.895966249756185, 0.444122144570429, -0.895966249756185, 
  0.319502030816016, 0.947585591017741, -0.319502030816016, 
  -0.947585591017741, -0.947585591017741, 0.319502030816016, 
  0.947585591017741, -0.319502030816016, 0.965394441697689, 
  0.260794117915276, -0.965394441697689, -0.260794117915276, 
  -0.260794117915275, 0.965394441697689, 0.260794117915276, 
  -0.965394441697689, 0.498227666972782, 0.867046245515693, 
  -0.498227666972782, -0.867046245515693, -0.867046245515693, 
  0.498227666972782, 0.867046245515693, -0.498227666972782, 
  0.792106577300212, 0.610382806276309, -0.792106577300212, 
  -0.610382806276310, -0.610382806276309, 0.792106577300212, 
  0.610382806276309, -0.792106577300212, 0.1284981107937932, 
  0.991709753669100, -0.1284981107937931, -0.991709753669100, 
  -0.991709753669100, 0.128498110793793, 0.991709753669100, 
  -0.1284981107937932, 0.986308097244599, 0.1649131204899699, 
  -0.986308097244599, -0.1649131204899701, -0.1649131204899699, 
  0.986308097244599, 0.1649131204899701, -0.986308097244599, 
  0.580813958095765, 0.814036329705948, -0.580813958095764, 
  -0.814036329705948, -0.814036329705948, 0.580813958095765, 
  0.814036329705948, -0.580813958095765, 0.848120344803297, 
  0.529803624686295, -0.848120344803297, -0.529803624686295, 
  -0.529803624686295, 0.848120344803297, 0.529803624686295, 
  -0.848120344803297, 0.2250839113597927, 0.974339382785576, 
  -0.2250839113597927, -0.974339382785576, -0.974339382785576, 
  0.2250839113597928, 0.974339382785576, -0.2250839113597928, 
  0.935183509938948, 0.354163525420490, -0.935183509938948, 
  -0.354163525420490, -0.354163525420490, 0.935183509938948, 
  0.354163525420491, -0.935183509938947, 0.410843171057904, 
  0.911706032005430, -0.410843171057904, -0.911706032005430, 
  -0.911706032005430, 0.410843171057904, 0.911706032005430, 
  -0.410843171057904, 0.728464390448225, 0.685083667772700, 
  -0.728464390448225, -0.685083667772700, -0.685083667772700, 
  0.728464390448225, 0.685083667772700, -0.728464390448225, 
  0.03067480317663658, 0.999529417501093, -0.03067480317663646, 
  -0.999529417501093, -0.999529417501093, 0.03067480317663687, 
  0.999529417501093, -0.03067480317663663, 0.999077727752645, 
  0.04293825693494082, -0.999077727752645, -0.04293825693494103, 
  -0.04293825693494084, 0.999077727752645, 0.04293825693494096, 
  -0.999077727752645, 0.676092703575316, 0.736816568877370, 
  -0.676092703575316, -0.736816568877370, -0.736816568877370, 
  0.676092703575316, 0.736816568877370, -0.676092703575316, 
  0.906595704514915, 0.422000270799800, -0.906595704514915, 
  -0.422000270799800, -0.422000270799800, 0.906595704514915, 
  0.422000270799800, -0.906595704514915, 0.342660717311994, 
  0.939459223602190, -0.342660717311994, -0.939459223602190, 
  -0.939459223602190, 0.342660717311994, 0.939459223602190, 
  -0.342660717311994, 0.971503890986252, 0.2370236059943672, 
  -0.971503890986252, -0.2370236059943672, -0.2370236059943672, 
  0.971503890986252, 0.2370236059943673, -0.971503890986252, 
  0.519355990165590, 0.854557988365401, -0.519355990165590, 
  -0.854557988365401, -0.854557988365400, 0.519355990165590, 
  0.854557988365400, -0.519355990165590, 0.806847553543799,