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quantum_package/src/Utils/tests/test_integration.ref

585 lines
21 KiB
Plaintext

data = {
'rint1' : {
'0, 1.00000000' : 0.74682413E+00,
'1, 1.00000000' : 0.18947235E+00,
'2, 1.00000000' : 0.10026880E+00,
'3, 1.00000000' : 0.66732275E-01,
'4, 1.00000000' : 0.49623241E-01,
'5, 1.00000000' : 0.39364865E-01,
'6, 1.00000000' : 0.32567034E-01,
'7, 1.00000000' : 0.27746002E-01,
'8, 1.00000000' : 0.24155294E-01,
'0, 0.50000000' : 0.85562439E+00,
'1, 0.50000000' : 0.24909373E+00,
'2, 0.50000000' : 0.14075054E+00,
'3, 0.50000000' : 0.97222024E-01,
'4, 0.50000000' : 0.74023511E-01,
'5, 0.50000000' : 0.59680941E-01,
'6, 0.50000000' : 0.49959693E-01,
'7, 0.50000000' : 0.42945347E-01,
'8, 0.50000000' : 0.37649547E-01,
'0, 0.25000000' : 0.92256201E+00,
'1, 0.25000000' : 0.28752246E+00,
'2, 0.25000000' : 0.16753319E+00,
'3, 0.25000000' : 0.11773034E+00,
'4, 0.25000000' : 0.90623235E-01,
'5, 0.25000000' : 0.73616662E-01,
'6, 0.25000000' : 0.61964994E-01,
'7, 0.25000000' : 0.53488276E-01,
'8, 0.25000000' : 0.47046726E-01,
'0, 0.12500000' : 0.95985044E+00,
'1, 0.12500000' : 0.30941414E+00,
'2, 0.12500000' : 0.18298209E+00,
'3, 0.12500000' : 0.12965410E+00,
'4, 0.12500000' : 0.10032732E+00,
'5, 0.12500000' : 0.81795915E-01,
'6, 0.12500000' : 0.69032643E-01,
'7, 0.12500000' : 0.59709841E-01,
'8, 0.12500000' : 0.52602850E-01,
'0, 0.06250000' : 0.97955155E+00,
'1, 0.06250000' : 0.32110789E+00,
'2, 0.06250000' : 0.19128479E+00,
'3, 0.06250000' : 0.13608717E+00,
'4, 0.06250000' : 0.10557686E+00,
'5, 0.06250000' : 0.86229246E-01,
'6, 0.06250000' : 0.72869188E-01,
'7, 0.06250000' : 0.63091082E-01,
'8, 0.06250000' : 0.55625318E-01,
'0, 0.03125000' : 0.98968027E+00,
'1, 0.03125000' : 0.32715253E+00,
'2, 0.03125000' : 0.19558951E+00,
'3, 0.03125000' : 0.13942892E+00,
'4, 0.03125000' : 0.10830743E+00,
'5, 0.03125000' : 0.88537500E-01,
'6, 0.03125000' : 0.74868200E-01,
'7, 0.03125000' : 0.64853890E-01,
'8, 0.03125000' : 0.57201824E-01,
'0, 0.01562500' : 0.99481599E+00,
'1, 0.01562500' : 0.33022570E+00,
'2, 0.01562500' : 0.19778136E+00,
'3, 0.01562500' : 0.14113208E+00,
'4, 0.01562500' : 0.10970000E+00,
'5, 0.01562500' : 0.89715269E-01,
'6, 0.01562500' : 0.75888558E-01,
'7, 0.01562500' : 0.65753944E-01,
'8, 0.01562500' : 0.58006946E-01,
'0, 0.00781250' : 0.99740193E+00,
'1, 0.00781250' : 0.33177518E+00,
'2, 0.00781250' : 0.19888731E+00,
'3, 0.00781250' : 0.14199186E+00,
'4, 0.00781250' : 0.11040323E+00,
'5, 0.00781250' : 0.90310159E-01,
'6, 0.00781250' : 0.76404035E-01,
'7, 0.00781250' : 0.66208710E-01,
'8, 0.00781250' : 0.58413795E-01,
'0, 0.00390625' : 0.99869944E+00,
'1, 0.00390625' : 0.33255317E+00,
'2, 0.00390625' : 0.19944281E+00,
'3, 0.00390625' : 0.14242381E+00,
'4, 0.00390625' : 0.11075658E+00,
'5, 0.00390625' : 0.90609118E-01,
'6, 0.00390625' : 0.76663109E-01,
'7, 0.00390625' : 0.66437288E-01,
'8, 0.00390625' : 0.58618300E-01,
'0, 0.00195312' : 0.99934934E+00,
'1, 0.00195312' : 0.33294298E+00,
'2, 0.00195312' : 0.19972119E+00,
'3, 0.00195312' : 0.14264030E+00,
'4, 0.00195312' : 0.11093370E+00,
'5, 0.00195312' : 0.90758978E-01,
'6, 0.00195312' : 0.76792981E-01,
'7, 0.00195312' : 0.66551877E-01,
'8, 0.00195312' : 0.58720824E-01,
},
'rint_large_n' : {
'4, 2.00000000' : 0.22769400E-01,
'5, 2.00000000' : 0.17397330E-01,
'6, 2.00000000' : 0.14008836E-01,
'7, 2.00000000' : 0.11694896E-01,
'8, 2.00000000' : 0.10022038E-01,
'9, 2.00000000' : 0.87598405E-02,
'10, 2.00000000' : 0.77754214E-02,
'11, 2.00000000' : 0.69871414E-02,
'12, 2.00000000' : 0.63422421E-02,
'13, 2.00000000' : 0.58051924E-02,
'14, 2.00000000' : 0.53512279E-02,
'15, 2.00000000' : 0.49625818E-02,
'16, 2.00000000' : 0.46261880E-02,
'17, 2.00000000' : 0.43322304E-02,
'18, 2.00000000' : 0.40731954E-02,
'19, 2.00000000' : 0.38432370E-02,
'20, 2.00000000' : 0.36377399E-02,
'4, 1.00000000' : 0.49623241E-01,
'5, 1.00000000' : 0.39364865E-01,
'6, 1.00000000' : 0.32567034E-01,
'7, 1.00000000' : 0.27746002E-01,
'8, 1.00000000' : 0.24155294E-01,
'9, 1.00000000' : 0.21380280E-01,
'10, 1.00000000' : 0.19172936E-01,
'11, 1.00000000' : 0.17376108E-01,
'12, 1.00000000' : 0.15885526E-01,
'13, 1.00000000' : 0.14629351E-01,
'14, 1.00000000' : 0.13556514E-01,
'15, 1.00000000' : 0.12629735E-01,
'16, 1.00000000' : 0.11821172E-01,
'17, 1.00000000' : 0.11109621E-01,
'18, 1.00000000' : 0.10478652E-01,
'19, 1.00000000' : 0.99153382E-02,
'20, 1.00000000' : 0.94093737E-02,
'4, 0.50000000' : 0.74131525E-01,
'5, 0.50000000' : 0.59734080E-01,
'6, 0.50000000' : 0.49988791E-01,
'7, 0.50000000' : 0.42962588E-01,
'8, 0.50000000' : 0.37660400E-01,
'9, 0.50000000' : 0.33518800E-01,
'10, 0.50000000' : 0.30195249E-01,
'11, 0.50000000' : 0.27469686E-01,
'12, 0.50000000' : 0.25194350E-01,
'13, 0.50000000' : 0.23266388E-01,
'14, 0.50000000' : 0.21612012E-01,
'15, 0.50000000' : 0.20176927E-01,
'16, 0.50000000' : 0.18920297E-01,
'17, 0.50000000' : 0.17810821E-01,
'18, 0.50000000' : 0.16824108E-01,
'19, 0.50000000' : 0.15940870E-01,
'20, 0.50000000' : 0.15145655E-01,
'4, 0.25000000' : 0.90623235E-01,
'5, 0.25000000' : 0.73616662E-01,
'6, 0.25000000' : 0.61964994E-01,
'7, 0.25000000' : 0.53488276E-01,
'8, 0.25000000' : 0.47046726E-01,
'9, 0.25000000' : 0.41987104E-01,
'10, 0.25000000' : 0.37908392E-01,
'11, 0.25000000' : 0.34550883E-01,
'12, 0.25000000' : 0.31739030E-01,
'13, 0.25000000' : 0.29349937E-01,
'14, 0.25000000' : 0.27295006E-01,
'15, 0.25000000' : 0.25508764E-01,
'16, 0.25000000' : 0.23941782E-01,
'17, 0.25000000' : 0.22556049E-01,
'18, 0.25000000' : 0.21321854E-01,
'19, 0.25000000' : 0.20215642E-01,
'20, 0.25000000' : 0.19218495E-01,
'4, 0.12500000' : 0.10032732E+00,
'5, 0.12500000' : 0.81795915E-01,
'6, 0.12500000' : 0.69032643E-01,
'7, 0.12500000' : 0.59709841E-01,
'8, 0.12500000' : 0.52602850E-01,
'9, 0.12500000' : 0.47006219E-01,
'10, 0.12500000' : 0.42485051E-01,
'11, 0.12500000' : 0.38756708E-01,
'12, 0.12500000' : 0.35629567E-01,
'13, 0.12500000' : 0.32969128E-01,
'14, 0.12500000' : 0.30678211E-01,
'15, 0.12500000' : 0.28684857E-01,
'16, 0.12500000' : 0.26934646E-01,
'17, 0.12500000' : 0.25385662E-01,
'18, 0.12500000' : 0.24005098E-01,
'19, 0.12500000' : 0.22766909E-01,
'20, 0.12500000' : 0.21650155E-01,
'4, 0.06250000' : 0.10557686E+00,
'5, 0.06250000' : 0.86229246E-01,
'6, 0.06250000' : 0.72869188E-01,
'7, 0.06250000' : 0.63091082E-01,
'8, 0.06250000' : 0.55625318E-01,
'9, 0.06250000' : 0.49738703E-01,
'10, 0.06250000' : 0.44978296E-01,
'11, 0.06250000' : 0.41049216E-01,
'12, 0.06250000' : 0.37751241E-01,
'13, 0.06250000' : 0.34943654E-01,
'14, 0.06250000' : 0.32524670E-01,
'15, 0.06250000' : 0.30418845E-01,
'16, 0.06250000' : 0.28569075E-01,
'17, 0.06250000' : 0.26931342E-01,
'18, 0.06250000' : 0.25471168E-01,
'19, 0.06250000' : 0.24161166E-01,
'20, 0.06250000' : 0.22979305E-01,
'4, 0.03125000' : 0.10830743E+00,
'5, 0.03125000' : 0.88537500E-01,
'6, 0.03125000' : 0.74868200E-01,
'7, 0.03125000' : 0.64853890E-01,
'8, 0.03125000' : 0.57201824E-01,
'9, 0.03125000' : 0.51164511E-01,
'10, 0.03125000' : 0.46279696E-01,
'11, 0.03125000' : 0.42246171E-01,
'12, 0.03125000' : 0.38859267E-01,
'13, 0.03125000' : 0.35975049E-01,
'14, 0.03125000' : 0.33489346E-01,
'15, 0.03125000' : 0.31324909E-01,
'16, 0.03125000' : 0.29423240E-01,
'17, 0.03125000' : 0.27739231E-01,
'18, 0.03125000' : 0.26237537E-01,
'19, 0.03125000' : 0.24890074E-01,
'20, 0.03125000' : 0.23674243E-01,
'4, 0.01562500' : 0.10970000E+00,
'5, 0.01562500' : 0.89715269E-01,
'6, 0.01562500' : 0.75888558E-01,
'7, 0.01562500' : 0.65753944E-01,
'8, 0.01562500' : 0.58006946E-01,
'9, 0.01562500' : 0.51892813E-01,
'10, 0.01562500' : 0.46944559E-01,
'11, 0.01562500' : 0.42857760E-01,
'12, 0.01562500' : 0.39425485E-01,
'13, 0.01562500' : 0.36502162E-01,
'14, 0.01562500' : 0.33982407E-01,
'15, 0.01562500' : 0.31788050E-01,
'16, 0.01562500' : 0.29859885E-01,
'17, 0.01562500' : 0.28152246E-01,
'18, 0.01562500' : 0.26629349E-01,
'19, 0.01562500' : 0.25262753E-01,
'20, 0.01562500' : 0.24029571E-01,
'4, 0.00781250' : 0.11040323E+00,
'5, 0.00781250' : 0.90310159E-01,
'6, 0.00781250' : 0.76404035E-01,
'7, 0.00781250' : 0.66208710E-01,
'8, 0.00781250' : 0.58413795E-01,
'9, 0.00781250' : 0.52260879E-01,
'10, 0.00781250' : 0.47280591E-01,
'11, 0.00781250' : 0.43166888E-01,
'12, 0.00781250' : 0.39711698E-01,
'13, 0.00781250' : 0.36768623E-01,
'14, 0.00781250' : 0.34231665E-01,
'15, 0.00781250' : 0.32022192E-01,
'16, 0.00781250' : 0.30080639E-01,
'17, 0.00781250' : 0.28361060E-01,
'18, 0.00781250' : 0.26827449E-01,
'19, 0.00781250' : 0.25451185E-01,
'20, 0.00781250' : 0.24209234E-01,
'4, 0.00390625' : 0.11075658E+00,
'5, 0.00390625' : 0.90609118E-01,
'6, 0.00390625' : 0.76663109E-01,
'7, 0.00390625' : 0.66437288E-01,
'8, 0.00390625' : 0.58618300E-01,
'9, 0.00390625' : 0.52445898E-01,
'10, 0.00390625' : 0.47449515E-01,
'11, 0.00390625' : 0.43322293E-01,
'12, 0.00390625' : 0.39855587E-01,
'13, 0.00390625' : 0.36902585E-01,
'14, 0.00390625' : 0.34356981E-01,
'15, 0.00390625' : 0.32139911E-01,
'16, 0.00390625' : 0.30191629E-01,
'17, 0.00390625' : 0.28466050E-01,
'18, 0.00390625' : 0.26927053E-01,
'19, 0.00390625' : 0.25545928E-01,
'20, 0.00390625' : 0.24299570E-01,
},
'hermite': {
'0,-16.00000000' : 0.10000000E+01,
'1,-16.00000000' : -0.32000000E+02,
'2,-16.00000000' : 0.10220000E+04,
'3,-16.00000000' : -0.32576000E+05,
'4,-16.00000000' : 0.10363000E+07,
'5,-16.00000000' : -0.32900992E+08,
'6,-16.00000000' : 0.10424687E+10,
'7,-16.00000000' : -0.32964188E+11,
'8,-16.00000000' : 0.10402595E+13,
'9,-16.00000000' : -0.32760875E+14,
'10,-16.00000000' : 0.10296233E+16,
'0, 8.00000000' : 0.10000000E+01,
'1, 8.00000000' : 0.16000000E+02,
'2, 8.00000000' : 0.25400000E+03,
'3, 8.00000000' : 0.40000000E+04,
'4, 8.00000000' : 0.62476000E+05,
'5, 8.00000000' : 0.96761600E+06,
'6, 8.00000000' : 0.14857096E+08,
'7, 8.00000000' : 0.22610214E+09,
'8, 8.00000000' : 0.34096350E+10,
'9, 8.00000000' : 0.50936525E+11,
'10, 8.00000000' : 0.75361097E+12,
'0, -4.00000000' : 0.10000000E+01,
'1, -4.00000000' : -0.80000000E+01,
'2, -4.00000000' : 0.62000000E+02,
'3, -4.00000000' : -0.46400000E+03,
'4, -4.00000000' : 0.33400000E+04,
'5, -4.00000000' : -0.23008000E+05,
'6, -4.00000000' : 0.15066400E+06,
'7, -4.00000000' : -0.92921600E+06,
'8, -4.00000000' : 0.53244320E+07,
'9, -4.00000000' : -0.27728000E+08,
'10, -4.00000000' : 0.12598422E+09,
'0, 2.00000000' : 0.10000000E+01,
'1, 2.00000000' : 0.40000000E+01,
'2, 2.00000000' : 0.14000000E+02,
'3, 2.00000000' : 0.40000000E+02,
'4, 2.00000000' : 0.76000000E+02,
'5, 2.00000000' : -0.16000000E+02,
'6, 2.00000000' : -0.82400000E+03,
'7, 2.00000000' : -0.31040000E+04,
'8, 2.00000000' : -0.88000000E+03,
'9, 2.00000000' : 0.46144000E+05,
'10, 2.00000000' : 0.20041600E+06,
'0, -1.00000000' : 0.10000000E+01,
'1, -1.00000000' : -0.20000000E+01,
'2, -1.00000000' : 0.20000000E+01,
'3, -1.00000000' : 0.40000000E+01,
'4, -1.00000000' : -0.20000000E+02,
'5, -1.00000000' : 0.80000000E+01,
'6, -1.00000000' : 0.18400000E+03,
'7, -1.00000000' : -0.46400000E+03,
'8, -1.00000000' : -0.16480000E+04,
'9, -1.00000000' : 0.10720000E+05,
'10, -1.00000000' : 0.82240000E+04,
'0, 0.50000000' : 0.10000000E+01,
'1, 0.50000000' : 0.10000000E+01,
'2, 0.50000000' : -0.10000000E+01,
'3, 0.50000000' : -0.50000000E+01,
'4, 0.50000000' : 0.10000000E+01,
'5, 0.50000000' : 0.41000000E+02,
'6, 0.50000000' : 0.31000000E+02,
'7, 0.50000000' : -0.46100000E+03,
'8, 0.50000000' : -0.89500000E+03,
'9, 0.50000000' : 0.64810000E+04,
'10, 0.50000000' : 0.22591000E+05,
'0, -0.25000000' : 0.10000000E+01,
'1, -0.25000000' : -0.50000000E+00,
'2, -0.25000000' : -0.17500000E+01,
'3, -0.25000000' : 0.28750000E+01,
'4, -0.25000000' : 0.90625000E+01,
'5, -0.25000000' : -0.27531250E+02,
'6, -0.25000000' : -0.76859375E+02,
'7, -0.25000000' : 0.36880469E+03,
'8, -0.25000000' : 0.89162891E+03,
'9, -0.25000000' : -0.63466895E+04,
'10, -0.25000000' : -0.12875976E+05,
'0, 0.12500000' : 0.10000000E+01,
'1, 0.12500000' : 0.25000000E+00,
'2, 0.12500000' : -0.19375000E+01,
'3, 0.12500000' : -0.14843750E+01,
'4, 0.12500000' : 0.11253906E+02,
'5, 0.12500000' : 0.14688477E+02,
'6, 0.12500000' : -0.10886694E+03,
'7, 0.12500000' : -0.20347845E+03,
'8, 0.12500000' : 0.14732676E+04,
'9, 0.12500000' : 0.36239722E+04,
'10, 0.12500000' : -0.25612824E+05,
'0, -0.06250000' : 0.10000000E+01,
'1, -0.06250000' : -0.12500000E+00,
'2, -0.06250000' : -0.19843750E+01,
'3, -0.06250000' : 0.74804688E+00,
'4, -0.06250000' : 0.11812744E+02,
'5, -0.06250000' : -0.74609680E+01,
'6, -0.06250000' : -0.11719482E+03,
'7, -0.06250000' : 0.10418097E+03,
'8, -0.06250000' : 0.16277049E+04,
'9, -0.06250000' : -0.18703586E+04,
'10, -0.06250000' : -0.29064893E+05,
'0, 0.03125000' : 0.10000000E+01,
'1, 0.03125000' : 0.62500000E-01,
'2, 0.03125000' : -0.19960938E+01,
'3, 0.03125000' : -0.37475586E+00,
'4, 0.03125000' : 0.11953140E+02,
'5, 0.03125000' : 0.37451181E+01,
'6, 0.03125000' : -0.11929733E+03,
'7, 0.03125000' : -0.52397501E+02,
'8, 0.03125000' : 0.16668878E+04,
'9, 0.03125000' : 0.94254050E+03,
'10, 0.03125000' : -0.29945072E+05,
},
'rint_sum' : {
'1, 0.06250000' : 0.31345650E+02,
'5, 0.06250000' : 0.34297082E+02,
'9, 0.06250000' : 0.34378323E+02,
'13, 0.06250000' : 0.34381587E+02,
'17, 0.06250000' : 0.34381737E+02,
'21, 0.06250000' : 0.34381745E+02,
'1, 0.12500000' : 0.30715214E+02,
'5, 0.12500000' : 0.33556491E+02,
'9, 0.12500000' : 0.33633859E+02,
'13, 0.12500000' : 0.33636955E+02,
'17, 0.12500000' : 0.33637097E+02,
'21, 0.12500000' : 0.33637104E+02,
'1, 0.25000000' : 0.29521984E+02,
'5, 0.25000000' : 0.32157230E+02,
'9, 0.25000000' : 0.32227424E+02,
'13, 0.25000000' : 0.32230208E+02,
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