p5tet.h

finite element library for mathematic majored research

    const double psitilde_cs_23_0 = 1;
    const double psitilde_cs_30_0 = 1;
    const double psitilde_cs_30_1 = 5*z + 4;
    const double psitilde_cs_30_2 = 1.76*psitilde_cs_30_1 + 3.3*z*psitilde_cs_30_1 - 0.54*psitilde_cs_30_0;
    const double psitilde_cs_31_0 = 1;
    const double psitilde_cs_31_1 = 6*z + 5;
    const double psitilde_cs_32_0 = 1;
    const double psitilde_cs_40_0 = 1;
    const double psitilde_cs_40_1 = 6*z + 5;
    const double psitilde_cs_41_0 = 1;
    const double psitilde_cs_50_0 = 1;
    
    // Compute basisvalues
    const double basisvalue0 = 0.8660254038*psitilde_a_0*scalings_y_0*psitilde_bs_0_0*scalings_z_0*psitilde_cs_00_0;
    const double basisvalue1 = 2.738612788*psitilde_a_1*scalings_y_1*psitilde_bs_1_0*scalings_z_1*psitilde_cs_10_0;
    const double basisvalue2 = 1.58113883*psitilde_a_0*scalings_y_0*psitilde_bs_0_1*scalings_z_1*psitilde_cs_01_0;
    const double basisvalue3 = 1.118033989*psitilde_a_0*scalings_y_0*psitilde_bs_0_0*scalings_z_0*psitilde_cs_00_1;
    const double basisvalue4 = 5.123475383*psitilde_a_2*scalings_y_2*psitilde_bs_2_0*scalings_z_2*psitilde_cs_20_0;
    const double basisvalue5 = 3.968626967*psitilde_a_1*scalings_y_1*psitilde_bs_1_1*scalings_z_2*psitilde_cs_11_0;
    const double basisvalue6 = 2.291287847*psitilde_a_0*scalings_y_0*psitilde_bs_0_2*scalings_z_2*psitilde_cs_02_0;
    const double basisvalue7 = 3.240370349*psitilde_a_1*scalings_y_1*psitilde_bs_1_0*scalings_z_1*psitilde_cs_10_1;
    const double basisvalue8 = 1.870828693*psitilde_a_0*scalings_y_0*psitilde_bs_0_1*scalings_z_1*psitilde_cs_01_1;
    const double basisvalue9 = 1.322875656*psitilde_a_0*scalings_y_0*psitilde_bs_0_0*scalings_z_0*psitilde_cs_00_2;
    const double basisvalue10 = 7.937253933*psitilde_a_3*scalings_y_3*psitilde_bs_3_0*scalings_z_3*psitilde_cs_30_0;
    const double basisvalue11 = 6.708203932*psitilde_a_2*scalings_y_2*psitilde_bs_2_1*scalings_z_3*psitilde_cs_21_0;
    const double basisvalue12 = 5.196152423*psitilde_a_1*scalings_y_1*psitilde_bs_1_2*scalings_z_3*psitilde_cs_12_0;
    const double basisvalue13 = 3*psitilde_a_0*scalings_y_0*psitilde_bs_0_3*scalings_z_3*psitilde_cs_03_0;
    const double basisvalue14 = 5.809475019*psitilde_a_2*scalings_y_2*psitilde_bs_2_0*scalings_z_2*psitilde_cs_20_1;
    const double basisvalue15 = 4.5*psitilde_a_1*scalings_y_1*psitilde_bs_1_1*scalings_z_2*psitilde_cs_11_1;
    const double basisvalue16 = 2.598076211*psitilde_a_0*scalings_y_0*psitilde_bs_0_2*scalings_z_2*psitilde_cs_02_1;
    const double basisvalue17 = 3.674234614*psitilde_a_1*scalings_y_1*psitilde_bs_1_0*scalings_z_1*psitilde_cs_10_2;
    const double basisvalue18 = 2.121320344*psitilde_a_0*scalings_y_0*psitilde_bs_0_1*scalings_z_1*psitilde_cs_01_2;
    const double basisvalue19 = 1.5*psitilde_a_0*scalings_y_0*psitilde_bs_0_0*scalings_z_0*psitilde_cs_00_3;
    const double basisvalue20 = 11.12429773*psitilde_a_4*scalings_y_4*psitilde_bs_4_0*scalings_z_4*psitilde_cs_40_0;
    const double basisvalue21 = 9.810708435*psitilde_a_3*scalings_y_3*psitilde_bs_3_1*scalings_z_4*psitilde_cs_31_0;
    const double basisvalue22 = 8.291561976*psitilde_a_2*scalings_y_2*psitilde_bs_2_2*scalings_z_4*psitilde_cs_22_0;
    const double basisvalue23 = 6.422616289*psitilde_a_1*scalings_y_1*psitilde_bs_1_3*scalings_z_4*psitilde_cs_13_0;
    const double basisvalue24 = 3.708099244*psitilde_a_0*scalings_y_0*psitilde_bs_0_4*scalings_z_4*psitilde_cs_04_0;
    const double basisvalue25 = 8.774964387*psitilde_a_3*scalings_y_3*psitilde_bs_3_0*scalings_z_3*psitilde_cs_30_1;
    const double basisvalue26 = 7.416198487*psitilde_a_2*scalings_y_2*psitilde_bs_2_1*scalings_z_3*psitilde_cs_21_1;
    const double basisvalue27 = 5.744562647*psitilde_a_1*scalings_y_1*psitilde_bs_1_2*scalings_z_3*psitilde_cs_12_1;
    const double basisvalue28 = 3.31662479*psitilde_a_0*scalings_y_0*psitilde_bs_0_3*scalings_z_3*psitilde_cs_03_1;
    const double basisvalue29 = 6.422616289*psitilde_a_2*scalings_y_2*psitilde_bs_2_0*scalings_z_2*psitilde_cs_20_2;
    const double basisvalue30 = 4.974937186*psitilde_a_1*scalings_y_1*psitilde_bs_1_1*scalings_z_2*psitilde_cs_11_2;
    const double basisvalue31 = 2.872281323*psitilde_a_0*scalings_y_0*psitilde_bs_0_2*scalings_z_2*psitilde_cs_02_2;
    const double basisvalue32 = 4.062019202*psitilde_a_1*scalings_y_1*psitilde_bs_1_0*scalings_z_1*psitilde_cs_10_3;
    const double basisvalue33 = 2.34520788*psitilde_a_0*scalings_y_0*psitilde_bs_0_1*scalings_z_1*psitilde_cs_01_3;
    const double basisvalue34 = 1.658312395*psitilde_a_0*scalings_y_0*psitilde_bs_0_0*scalings_z_0*psitilde_cs_00_4;
    const double basisvalue35 = 14.64581852*psitilde_a_5*scalings_y_5*psitilde_bs_5_0*scalings_z_5*psitilde_cs_50_0;
    const double basisvalue36 = 13.2476413*psitilde_a_4*scalings_y_4*psitilde_bs_4_1*scalings_z_5*psitilde_cs_41_0;
    const double basisvalue37 = 11.68332145*psitilde_a_3*scalings_y_3*psitilde_bs_3_2*scalings_z_5*psitilde_cs_32_0;
    const double basisvalue38 = 9.874208829*psitilde_a_2*scalings_y_2*psitilde_bs_2_3*scalings_z_5*psitilde_cs_23_0;
    const double basisvalue39 = 7.64852927*psitilde_a_1*scalings_y_1*psitilde_bs_1_4*scalings_z_5*psitilde_cs_14_0;
    const double basisvalue40 = 4.415880433*psitilde_a_0*scalings_y_0*psitilde_bs_0_5*scalings_z_5*psitilde_cs_05_0;
    const double basisvalue41 = 12.09338662*psitilde_a_4*scalings_y_4*psitilde_bs_4_0*scalings_z_4*psitilde_cs_40_1;
    const double basisvalue42 = 10.6653645*psitilde_a_3*scalings_y_3*psitilde_bs_3_1*scalings_z_4*psitilde_cs_31_1;
    const double basisvalue43 = 9.013878189*psitilde_a_2*scalings_y_2*psitilde_bs_2_2*scalings_z_4*psitilde_cs_22_1;
    const double basisvalue44 = 6.982120022*psitilde_a_1*scalings_y_1*psitilde_bs_1_3*scalings_z_4*psitilde_cs_13_1;
    const double basisvalue45 = 4.031128874*psitilde_a_0*scalings_y_0*psitilde_bs_0_4*scalings_z_4*psitilde_cs_04_1;
    const double basisvalue46 = 9.539392014*psitilde_a_3*scalings_y_3*psitilde_bs_3_0*scalings_z_3*psitilde_cs_30_2;
    const double basisvalue47 = 8.062257748*psitilde_a_2*scalings_y_2*psitilde_bs_2_1*scalings_z_3*psitilde_cs_21_2;
    const double basisvalue48 = 6.244997998*psitilde_a_1*scalings_y_1*psitilde_bs_1_2*scalings_z_3*psitilde_cs_12_2;
    const double basisvalue49 = 3.605551275*psitilde_a_0*scalings_y_0*psitilde_bs_0_3*scalings_z_3*psitilde_cs_03_2;
    const double basisvalue50 = 6.982120022*psitilde_a_2*scalings_y_2*psitilde_bs_2_0*scalings_z_2*psitilde_cs_20_3;
    const double basisvalue51 = 5.408326913*psitilde_a_1*scalings_y_1*psitilde_bs_1_1*scalings_z_2*psitilde_cs_11_3;
    const double basisvalue52 = 3.122498999*psitilde_a_0*scalings_y_0*psitilde_bs_0_2*scalings_z_2*psitilde_cs_02_3;
    const double basisvalue53 = 4.415880433*psitilde_a_1*scalings_y_1*psitilde_bs_1_0*scalings_z_1*psitilde_cs_10_4;
    const double basisvalue54 = 2.549509757*psitilde_a_0*scalings_y_0*psitilde_bs_0_1*scalings_z_1*psitilde_cs_01_4;
    const double basisvalue55 = 1.802775638*psitilde_a_0*scalings_y_0*psitilde_bs_0_0*scalings_z_0*psitilde_cs_00_5;
    
    // Table(s) of coefficients
    const static double coefficients0[56][56] = \
    {{0.009450674049, 0.006097881207, 0.003520613356, 0.002489449578, 0.007059462333, 0.00546823601, 0.003157087532, 0.004464796006, 0.002577751176, 0.001822745337, -0.002982674187, -0.00252081978, -0.001952618605, -0.001127344877, -0.002183093968, -0.001691017316, -0.0009763093026, -0.001380709857, -0.0007971532075, -0.0005636724387, 0.002786871125, 0.002457789311, 0.002077211093, 0.001609000794, 0.0009289570415, 0.002198313589, 0.001857914083, 0.00143913406, 0.0008308844372, 0.001609000794, 0.001246326656, 0.0007195670302, 0.001017621453, 0.0005875240199, 0.0004154422186, -0.007055935247, -0.006382333571, -0.005628689138, -0.004757110573, -0.003684842005, -0.002127444524, -0.005826246777, -0.005138266683, -0.004342627949, -0.003363785145, -0.001942082259, -0.004595805436, -0.003884164518, -0.003008660899, -0.00173705118, -0.003363785145, -0.002605576769, -0.001504330449, -0.002127444524, -0.001228280668, -0.0008685255898},
    {0.009450674049, -0.006097881207, 0.003520613356, 0.002489449578, 0.007059462333, -0.00546823601, 0.003157087532, -0.004464796006, 0.002577751176, 0.001822745337, 0.002982674187, -0.00252081978, 0.001952618605, -0.001127344877, -0.002183093968, 0.001691017316, -0.0009763093026, 0.001380709857, -0.0007971532075, -0.0005636724387, 0.002786871125, -0.002457789311, 0.002077211093, -0.001609000794, 0.0009289570415, -0.002198313589, 0.001857914083, -0.00143913406, 0.0008308844372, 0.001609000794, -0.001246326656, 0.0007195670302, -0.001017621453, 0.0005875240199, 0.0004154422186, 0.007055935247, -0.006382333571, 0.005628689138, -0.004757110573, 0.003684842005, -0.002127444524, -0.005826246777, 0.005138266683, -0.004342627949, 0.003363785145, -0.001942082259, 0.004595805436, -0.003884164518, 0.003008660899, -0.00173705118, -0.003363785145, 0.002605576769, -0.001504330449, 0.002127444524, -0.001228280668, -0.0008685255898},
    {0.009450674049, 0, -0.007041226712, 0.002489449578, 0, 0, 0.009471262597, 0, -0.005155502352, 0.001822745337, 0, 0, 0, 0.004509379509, 0, 0, -0.002928927908, 0, 0.001594306415, -0.0005636724387, 0, 0, 0, 0, 0.004644785208, 0, 0, 0, -0.003323537749, 0, 0, 0.002158701091, 0, -0.00117504804, 0.0004154422186, 0, 0, 0, 0, 0, 0.01276466714, 0, 0, 0, 0, -0.009710411295, 0, 0, 0, 0.006948204719, 0, 0, -0.004512991348, 0, 0.002456561337, -0.0008685255898},
    {0.009450674049, 0, 0, -0.007468348734, 0, 0, 0, 0, 0, 0.01093647202, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.005636724387, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.006231633279, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.01823903739},
    {-0.01002344217, 0, 0.03747187483, -0.02896141836, 0, 0, 0.02841378779, 0, 0.005155502352, -0.006197334145, 0, 0, 0, 0.03156565657, 0, 0, -0.0113902752, 0, 0.002657177358, -0.0001878908129, 0, 0, 0, 0, 0.02322392604, 0, 0, 0, -0.001661768874, 0, 0, -0.006476103272, 0, 0.006462764219, -0.00290809553, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02136290485, 0, 0, 0, -0.02779281887, 0, 0, 0.02437015328, 0, -0.01572199256, 0.006079679129},
    {0.01002344217, 0, -0.02875748534, 0.05360943398, 0, 0, -0.01894252519, 0, 0.01546650706, 0.01531106083, 0, 0, 0, -0.004509379509, 0, 0, 0.0370997535, 0, -0.02816608, 0.01089766715, 0, 0, 0, 0, 0, 0, 0, 0, 0.02991183974, 0, 0, -0.004317402181, 0, -0.01233800442, 0.008724286591, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.03126692123, 0, 0, -0.04874030656, 0, 0.04127023046, -0.01823903739},
    {0.01002344217, 0, 0.04095763063, -0.04498262852, 0, 0, 0.01894252519, 0, -0.005155502352, -0.02114384591, 0, 0, 0, 0, 0, 0, 0.004556110079, 0, 0.0356061766, -0.03194143819, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.03022181527, 0, 0.00411266814, -0.01454047765, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.03790912732, 0, -0.05502697394, 0.03039839564},
    {-0.01002344217, 0, -0.01481446214, 0.04498262852, 0, 0, 0, 0, 0.02062200941, 0.02114384591, 0, 0, 0, 0, 0, 0, 0, 0, 0.01062870943, 0.03194143819, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.0205633407, 0.01454047765, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.03439185872, -0.03039839564},
    {-0.01002344217, 0.03245159553, -0.01873593742, -0.02896141836, 0.021178387, -0.01640470803, 0.009471262597, 0.004464796006, -0.002577751176, -0.006197334145, 0.02087871931, -0.01764573846, 0.01366833024, -0.007891414141, -0.008489809874, 0.006576178451, -0.003796758399, 0.002301183095, -0.001328588679, -0.0001878908129, 0.01393435562, -0.01228894655, 0.01038605547, -0.00804500397, 0.004644785208, -0.001099156795, 0.0009289570415, -0.0007195670302, 0.0004154422186, -0.004827002382, 0.003738979967, -0.002158701091, 0.005596917993, -0.00323138211, -0.00290809553, 0, 0, 0, 0, 0, 0, 0.01281774291, -0.0113041867, 0.009553781488, -0.007400327319, 0.00427258097, -0.01838322174, 0.01553665807, -0.01203464359, 0.006948204719, 0.01816443978, -0.01407011456, 0.008123384426, -0.01361564495, 0.007860996278, 0.006079679129},
    {0.01002344217, -0.02490471285, 0.01437874267, 0.05360943398, -0.01411892467, 0.01093647202, -0.006314175065, 0.01339438802, -0.007733253528, 0.01531106083, -0.002982674187, 0.00252081978, -0.001952618605, 0.001127344877, 0.02765252359, -0.02141955267, 0.0123665845, -0.0243925408, 0.01408304, 0.01089766715, 0, 0, 0, 0, 0, 0.0197848223, -0.01672122675, 0.01295220654, -0.007477959935, -0.003218001588, 0.002492653312, -0.00143913406, -0.01068502526, 0.006169002209, 0.008724286591, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02068112446, -0.01747874033, 0.01353897404, -0.007816730308, -0.03632887957, 0.02814022911, -0.01624676885, 0.035741068, -0.02063511523, -0.01823903739},
    {0.01002344217, 0.0354703486, -0.02047881531, -0.04498262852, 0.01411892467, -0.01093647202, 0.006314175065, -0.004464796006, 0.002577751176, -0.02114384591, 0, 0, 0, 0, 0.00339592395, -0.00263047138, 0.00151870336, 0.03083585347, -0.0178030883, -0.03194143819, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02252601112, -0.01744857318, 0.01007393842, 0.003561675086, -0.00205633407, -0.01454047765, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02825579522, -0.02188684486, 0.01263637577, -0.04765475733, 0.02751348697, 0.03039839564},
    {-0.01002344217, -0.01282970056, 0.007407231071, 0.04498262852, 0, 0, 0, 0.01785918402, -0.0103110047, 0.02114384591, 0, 0, 0, 0, 0, 0, 0, 0.009204732379, -0.005314354717, 0.03194143819, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.01780837543, -0.01028167035, 0.01454047765, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.02978422333, -0.01719592936, -0.03039839564},
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