mirror of https://github.com/ArduPilot/ardupilot
AP_NavEKF3: document provenance of covariance matrix equations
Validated that the generated code matches exactly the code in AP_NavEKF3 (except for the early exits). Delete `covariance_generated.cpp` as we know exactly how to generate it now (and it was out of date anyway).
This commit is contained in:
Thomas Watson
Andrew Tridgell
parent
4184980537
commit
ad5da01077
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@ -1002,8 +1002,8 @@ void NavEKF3_core::calcOutputStates()
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/*
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/*
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* Calculate the predicted state covariance matrix using algebraic equations generated using SymPy
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* Calculate the predicted state covariance matrix using algebraic equations generated using SymPy
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* See AP_NavEKF3/derivation/main.py for derivation
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* See derivation/generate_1.py for derivation
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* Output for change reference: AP_NavEKF3/derivation/generated/covariance_generated.cpp
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* Output for change reference: derivation/generated/covariance_generated.cpp
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* Argument rotVarVecPtr is pointer to a vector defining the earth frame uncertainty variance of the quaternion states
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* Argument rotVarVecPtr is pointer to a vector defining the earth frame uncertainty variance of the quaternion states
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* used to perform a reset of the quaternion state covariances only. Set to null for normal operation.
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* used to perform a reset of the quaternion state covariances only. Set to null for normal operation.
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*/
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*/
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@ -1,492 +0,0 @@
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// Equations for covariance matrix prediction, without process noise!
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const ftype PS0 = sq(q1);
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const ftype PS1 = 0.25F*daxVar;
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const ftype PS2 = sq(q2);
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const ftype PS3 = 0.25F*dayVar;
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const ftype PS4 = sq(q3);
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const ftype PS5 = 0.25F*dazVar;
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const ftype PS6 = 0.5F*q1;
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const ftype PS7 = 0.5F*q2;
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const ftype PS8 = PS7*P[10][11];
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const ftype PS9 = 0.5F*q3;
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const ftype PS10 = PS9*P[10][12];
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const ftype PS11 = 0.5F*dax - 0.5F*dax_b;
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const ftype PS12 = 0.5F*day - 0.5F*day_b;
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const ftype PS13 = 0.5F*daz - 0.5F*daz_b;
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const ftype PS14 = PS10 - PS11*P[1][10] - PS12*P[2][10] - PS13*P[3][10] + PS6*P[10][10] + PS8 + P[0][10];
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const ftype PS15 = PS6*P[10][11];
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const ftype PS16 = PS9*P[11][12];
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const ftype PS17 = -PS11*P[1][11] - PS12*P[2][11] - PS13*P[3][11] + PS15 + PS16 + PS7*P[11][11] + P[0][11];
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const ftype PS18 = PS6*P[10][12];
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const ftype PS19 = PS7*P[11][12];
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const ftype PS20 = -PS11*P[1][12] - PS12*P[2][12] - PS13*P[3][12] + PS18 + PS19 + PS9*P[12][12] + P[0][12];
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const ftype PS21 = PS12*P[1][2];
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const ftype PS22 = -PS13*P[1][3];
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const ftype PS23 = -PS11*P[1][1] - PS21 + PS22 + PS6*P[1][10] + PS7*P[1][11] + PS9*P[1][12] + P[0][1];
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const ftype PS24 = -PS11*P[1][2];
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const ftype PS25 = PS13*P[2][3];
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const ftype PS26 = -PS12*P[2][2] + PS24 - PS25 + PS6*P[2][10] + PS7*P[2][11] + PS9*P[2][12] + P[0][2];
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const ftype PS27 = PS11*P[1][3];
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const ftype PS28 = -PS12*P[2][3];
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const ftype PS29 = -PS13*P[3][3] - PS27 + PS28 + PS6*P[3][10] + PS7*P[3][11] + PS9*P[3][12] + P[0][3];
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const ftype PS30 = PS11*P[0][1];
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const ftype PS31 = PS12*P[0][2];
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const ftype PS32 = PS13*P[0][3];
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const ftype PS33 = -PS30 - PS31 - PS32 + PS6*P[0][10] + PS7*P[0][11] + PS9*P[0][12] + P[0][0];
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const ftype PS34 = 0.5F*q0;
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const ftype PS35 = q2*q3;
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const ftype PS36 = q0*q1;
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const ftype PS37 = q1*q3;
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const ftype PS38 = q0*q2;
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const ftype PS39 = q1*q2;
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const ftype PS40 = q0*q3;
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const ftype PS41 = -PS2;
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const ftype PS42 = sq(q0);
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const ftype PS43 = -PS4 + PS42;
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const ftype PS44 = PS0 + PS41 + PS43;
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const ftype PS45 = -PS11*P[1][13] - PS12*P[2][13] - PS13*P[3][13] + PS6*P[10][13] + PS7*P[11][13] + PS9*P[12][13] + P[0][13];
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const ftype PS46 = PS37 + PS38;
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const ftype PS47 = -PS11*P[1][15] - PS12*P[2][15] - PS13*P[3][15] + PS6*P[10][15] + PS7*P[11][15] + PS9*P[12][15] + P[0][15];
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const ftype PS48 = 2*PS47;
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const ftype PS49 = dvy - dvy_b;
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const ftype PS50 = dvx - dvx_b;
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const ftype PS51 = dvz - dvz_b;
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const ftype PS52 = PS49*q0 + PS50*q3 - PS51*q1;
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const ftype PS53 = 2*PS29;
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const ftype PS54 = -PS39 + PS40;
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const ftype PS55 = -PS11*P[1][14] - PS12*P[2][14] - PS13*P[3][14] + PS6*P[10][14] + PS7*P[11][14] + PS9*P[12][14] + P[0][14];
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const ftype PS56 = 2*PS55;
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const ftype PS57 = -PS49*q3 + PS50*q0 + PS51*q2;
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const ftype PS58 = 2*PS33;
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const ftype PS59 = PS49*q1 - PS50*q2 + PS51*q0;
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const ftype PS60 = 2*PS59;
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const ftype PS61 = PS49*q2 + PS50*q1 + PS51*q3;
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const ftype PS62 = 2*PS61;
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const ftype PS63 = -PS11*P[1][4] - PS12*P[2][4] - PS13*P[3][4] + PS6*P[4][10] + PS7*P[4][11] + PS9*P[4][12] + P[0][4];
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const ftype PS64 = -PS0;
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const ftype PS65 = PS2 + PS43 + PS64;
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const ftype PS66 = PS39 + PS40;
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const ftype PS67 = 2*PS45;
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const ftype PS68 = -PS35 + PS36;
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const ftype PS69 = -PS11*P[1][5] - PS12*P[2][5] - PS13*P[3][5] + PS6*P[5][10] + PS7*P[5][11] + PS9*P[5][12] + P[0][5];
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const ftype PS70 = PS4 + PS41 + PS42 + PS64;
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const ftype PS71 = PS35 + PS36;
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const ftype PS72 = 2*PS57;
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const ftype PS73 = -PS37 + PS38;
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const ftype PS74 = 2*PS52;
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const ftype PS75 = -PS11*P[1][6] - PS12*P[2][6] - PS13*P[3][6] + PS6*P[6][10] + PS7*P[6][11] + PS9*P[6][12] + P[0][6];
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const ftype PS76 = -PS34*P[10][11];
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const ftype PS77 = PS11*P[0][11] - PS12*P[3][11] + PS13*P[2][11] - PS19 + PS76 + PS9*P[11][11] + P[1][11];
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const ftype PS78 = PS13*P[0][2];
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const ftype PS79 = PS12*P[0][3];
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const ftype PS80 = PS11*P[0][0] - PS34*P[0][10] - PS7*P[0][12] + PS78 - PS79 + PS9*P[0][11] + P[0][1];
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const ftype PS81 = PS11*P[0][2];
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const ftype PS82 = PS13*P[2][2] + PS28 - PS34*P[2][10] - PS7*P[2][12] + PS81 + PS9*P[2][11] + P[1][2];
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const ftype PS83 = PS9*P[10][11];
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const ftype PS84 = PS7*P[10][12];
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const ftype PS85 = PS11*P[0][10] - PS12*P[3][10] + PS13*P[2][10] - PS34*P[10][10] + PS83 - PS84 + P[1][10];
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const ftype PS86 = -PS34*P[10][12];
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const ftype PS87 = PS11*P[0][12] - PS12*P[3][12] + PS13*P[2][12] + PS16 - PS7*P[12][12] + PS86 + P[1][12];
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const ftype PS88 = PS11*P[0][3];
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const ftype PS89 = -PS12*P[3][3] + PS25 - PS34*P[3][10] - PS7*P[3][12] + PS88 + PS9*P[3][11] + P[1][3];
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const ftype PS90 = PS13*P[1][2];
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const ftype PS91 = PS12*P[1][3];
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const ftype PS92 = PS30 - PS34*P[1][10] - PS7*P[1][12] + PS9*P[1][11] + PS90 - PS91 + P[1][1];
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const ftype PS93 = PS11*P[0][13] - PS12*P[3][13] + PS13*P[2][13] - PS34*P[10][13] - PS7*P[12][13] + PS9*P[11][13] + P[1][13];
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const ftype PS94 = PS11*P[0][15] - PS12*P[3][15] + PS13*P[2][15] - PS34*P[10][15] - PS7*P[12][15] + PS9*P[11][15] + P[1][15];
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const ftype PS95 = 2*PS94;
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const ftype PS96 = PS11*P[0][14] - PS12*P[3][14] + PS13*P[2][14] - PS34*P[10][14] - PS7*P[12][14] + PS9*P[11][14] + P[1][14];
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const ftype PS97 = 2*PS96;
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const ftype PS98 = PS11*P[0][4] - PS12*P[3][4] + PS13*P[2][4] - PS34*P[4][10] - PS7*P[4][12] + PS9*P[4][11] + P[1][4];
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const ftype PS99 = 2*PS93;
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const ftype PS100 = PS11*P[0][5] - PS12*P[3][5] + PS13*P[2][5] - PS34*P[5][10] - PS7*P[5][12] + PS9*P[5][11] + P[1][5];
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const ftype PS101 = PS11*P[0][6] - PS12*P[3][6] + PS13*P[2][6] - PS34*P[6][10] - PS7*P[6][12] + PS9*P[6][11] + P[1][6];
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const ftype PS102 = -PS34*P[11][12];
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const ftype PS103 = -PS10 + PS102 + PS11*P[3][12] + PS12*P[0][12] - PS13*P[1][12] + PS6*P[12][12] + P[2][12];
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const ftype PS104 = PS11*P[3][3] + PS22 - PS34*P[3][11] + PS6*P[3][12] + PS79 - PS9*P[3][10] + P[2][3];
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const ftype PS105 = PS13*P[0][1];
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const ftype PS106 = -PS105 + PS12*P[0][0] - PS34*P[0][11] + PS6*P[0][12] + PS88 - PS9*P[0][10] + P[0][2];
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const ftype PS107 = PS6*P[11][12];
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const ftype PS108 = PS107 + PS11*P[3][11] + PS12*P[0][11] - PS13*P[1][11] - PS34*P[11][11] - PS83 + P[2][11];
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const ftype PS109 = PS11*P[3][10] + PS12*P[0][10] - PS13*P[1][10] + PS18 + PS76 - PS9*P[10][10] + P[2][10];
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const ftype PS110 = PS12*P[0][1];
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const ftype PS111 = PS110 - PS13*P[1][1] + PS27 - PS34*P[1][11] + PS6*P[1][12] - PS9*P[1][10] + P[1][2];
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const ftype PS112 = PS11*P[2][3];
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const ftype PS113 = PS112 + PS31 - PS34*P[2][11] + PS6*P[2][12] - PS9*P[2][10] - PS90 + P[2][2];
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const ftype PS114 = PS11*P[3][13] + PS12*P[0][13] - PS13*P[1][13] - PS34*P[11][13] + PS6*P[12][13] - PS9*P[10][13] + P[2][13];
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const ftype PS115 = PS11*P[3][15] + PS12*P[0][15] - PS13*P[1][15] - PS34*P[11][15] + PS6*P[12][15] - PS9*P[10][15] + P[2][15];
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const ftype PS116 = 2*PS115;
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const ftype PS117 = PS11*P[3][14] + PS12*P[0][14] - PS13*P[1][14] - PS34*P[11][14] + PS6*P[12][14] - PS9*P[10][14] + P[2][14];
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const ftype PS118 = 2*PS117;
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const ftype PS119 = PS11*P[3][4] + PS12*P[0][4] - PS13*P[1][4] - PS34*P[4][11] + PS6*P[4][12] - PS9*P[4][10] + P[2][4];
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const ftype PS120 = 2*PS114;
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const ftype PS121 = PS11*P[3][5] + PS12*P[0][5] - PS13*P[1][5] - PS34*P[5][11] + PS6*P[5][12] - PS9*P[5][10] + P[2][5];
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const ftype PS122 = PS11*P[3][6] + PS12*P[0][6] - PS13*P[1][6] - PS34*P[6][11] + PS6*P[6][12] - PS9*P[6][10] + P[2][6];
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const ftype PS123 = -PS11*P[2][10] + PS12*P[1][10] + PS13*P[0][10] - PS15 + PS7*P[10][10] + PS86 + P[3][10];
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const ftype PS124 = PS105 + PS12*P[1][1] + PS24 - PS34*P[1][12] - PS6*P[1][11] + PS7*P[1][10] + P[1][3];
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const ftype PS125 = PS110 + PS13*P[0][0] - PS34*P[0][12] - PS6*P[0][11] + PS7*P[0][10] - PS81 + P[0][3];
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const ftype PS126 = -PS107 - PS11*P[2][12] + PS12*P[1][12] + PS13*P[0][12] - PS34*P[12][12] + PS84 + P[3][12];
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const ftype PS127 = PS102 - PS11*P[2][11] + PS12*P[1][11] + PS13*P[0][11] - PS6*P[11][11] + PS8 + P[3][11];
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const ftype PS128 = -PS11*P[2][2] + PS21 - PS34*P[2][12] - PS6*P[2][11] + PS7*P[2][10] + PS78 + P[2][3];
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const ftype PS129 = -PS112 + PS32 - PS34*P[3][12] - PS6*P[3][11] + PS7*P[3][10] + PS91 + P[3][3];
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const ftype PS130 = -PS11*P[2][13] + PS12*P[1][13] + PS13*P[0][13] - PS34*P[12][13] - PS6*P[11][13] + PS7*P[10][13] + P[3][13];
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const ftype PS131 = -PS11*P[2][15] + PS12*P[1][15] + PS13*P[0][15] - PS34*P[12][15] - PS6*P[11][15] + PS7*P[10][15] + P[3][15];
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const ftype PS132 = 2*PS131;
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const ftype PS133 = -PS11*P[2][14] + PS12*P[1][14] + PS13*P[0][14] - PS34*P[12][14] - PS6*P[11][14] + PS7*P[10][14] + P[3][14];
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const ftype PS134 = 2*PS133;
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const ftype PS135 = -PS11*P[2][4] + PS12*P[1][4] + PS13*P[0][4] - PS34*P[4][12] - PS6*P[4][11] + PS7*P[4][10] + P[3][4];
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const ftype PS136 = 2*PS130;
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const ftype PS137 = -PS11*P[2][5] + PS12*P[1][5] + PS13*P[0][5] - PS34*P[5][12] - PS6*P[5][11] + PS7*P[5][10] + P[3][5];
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const ftype PS138 = -PS11*P[2][6] + PS12*P[1][6] + PS13*P[0][6] - PS34*P[6][12] - PS6*P[6][11] + PS7*P[6][10] + P[3][6];
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const ftype PS139 = 2*PS46;
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const ftype PS140 = 2*PS54;
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const ftype PS141 = -PS139*P[13][15] + PS140*P[13][14] - PS44*P[13][13] + PS60*P[2][13] + PS62*P[1][13] + PS72*P[0][13] - PS74*P[3][13] + P[4][13];
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const ftype PS142 = -PS139*P[15][15] + PS140*P[14][15] - PS44*P[13][15] + PS60*P[2][15] + PS62*P[1][15] + PS72*P[0][15] - PS74*P[3][15] + P[4][15];
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const ftype PS143 = PS62*P[1][3];
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const ftype PS144 = PS72*P[0][3];
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const ftype PS145 = -PS139*P[3][15] + PS140*P[3][14] + PS143 + PS144 - PS44*P[3][13] + PS60*P[2][3] - PS74*P[3][3] + P[3][4];
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const ftype PS146 = -PS139*P[14][15] + PS140*P[14][14] - PS44*P[13][14] + PS60*P[2][14] + PS62*P[1][14] + PS72*P[0][14] - PS74*P[3][14] + P[4][14];
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const ftype PS147 = PS60*P[0][2];
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const ftype PS148 = PS74*P[0][3];
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const ftype PS149 = -PS139*P[0][15] + PS140*P[0][14] + PS147 - PS148 - PS44*P[0][13] + PS62*P[0][1] + PS72*P[0][0] + P[0][4];
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const ftype PS150 = PS62*P[1][2];
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const ftype PS151 = PS72*P[0][2];
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const ftype PS152 = -PS139*P[2][15] + PS140*P[2][14] + PS150 + PS151 - PS44*P[2][13] + PS60*P[2][2] - PS74*P[2][3] + P[2][4];
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const ftype PS153 = PS60*P[1][2];
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const ftype PS154 = PS74*P[1][3];
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const ftype PS155 = -PS139*P[1][15] + PS140*P[1][14] + PS153 - PS154 - PS44*P[1][13] + PS62*P[1][1] + PS72*P[0][1] + P[1][4];
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const ftype PS156 = 4*dvyVar;
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const ftype PS157 = 4*dvzVar;
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const ftype PS158 = -PS139*P[4][15] + PS140*P[4][14] - PS44*P[4][13] + PS60*P[2][4] + PS62*P[1][4] + PS72*P[0][4] - PS74*P[3][4] + P[4][4];
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const ftype PS159 = 2*PS141;
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const ftype PS160 = 2*PS68;
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const ftype PS161 = PS65*dvyVar;
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const ftype PS162 = 2*PS66;
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const ftype PS163 = PS44*dvxVar;
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const ftype PS164 = -PS139*P[5][15] + PS140*P[5][14] - PS44*P[5][13] + PS60*P[2][5] + PS62*P[1][5] + PS72*P[0][5] - PS74*P[3][5] + P[4][5];
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const ftype PS165 = 2*PS71;
|
|
||||||
const ftype PS166 = 2*PS73;
|
|
||||||
const ftype PS167 = PS70*dvzVar;
|
|
||||||
const ftype PS168 = -PS139*P[6][15] + PS140*P[6][14] - PS44*P[6][13] + PS60*P[2][6] + PS62*P[1][6] + PS72*P[0][6] - PS74*P[3][6] + P[4][6];
|
|
||||||
const ftype PS169 = PS160*P[14][15] - PS162*P[13][14] - PS60*P[1][14] + PS62*P[2][14] - PS65*P[14][14] + PS72*P[3][14] + PS74*P[0][14] + P[5][14];
|
|
||||||
const ftype PS170 = PS160*P[13][15] - PS162*P[13][13] - PS60*P[1][13] + PS62*P[2][13] - PS65*P[13][14] + PS72*P[3][13] + PS74*P[0][13] + P[5][13];
|
|
||||||
const ftype PS171 = PS74*P[0][1];
|
|
||||||
const ftype PS172 = PS150 + PS160*P[1][15] - PS162*P[1][13] + PS171 - PS60*P[1][1] - PS65*P[1][14] + PS72*P[1][3] + P[1][5];
|
|
||||||
const ftype PS173 = PS160*P[15][15] - PS162*P[13][15] - PS60*P[1][15] + PS62*P[2][15] - PS65*P[14][15] + PS72*P[3][15] + PS74*P[0][15] + P[5][15];
|
|
||||||
const ftype PS174 = PS62*P[2][3];
|
|
||||||
const ftype PS175 = PS148 + PS160*P[3][15] - PS162*P[3][13] + PS174 - PS60*P[1][3] - PS65*P[3][14] + PS72*P[3][3] + P[3][5];
|
|
||||||
const ftype PS176 = PS60*P[0][1];
|
|
||||||
const ftype PS177 = PS144 + PS160*P[0][15] - PS162*P[0][13] - PS176 + PS62*P[0][2] - PS65*P[0][14] + PS74*P[0][0] + P[0][5];
|
|
||||||
const ftype PS178 = PS72*P[2][3];
|
|
||||||
const ftype PS179 = -PS153 + PS160*P[2][15] - PS162*P[2][13] + PS178 + PS62*P[2][2] - PS65*P[2][14] + PS74*P[0][2] + P[2][5];
|
|
||||||
const ftype PS180 = 4*dvxVar;
|
|
||||||
const ftype PS181 = PS160*P[5][15] - PS162*P[5][13] - PS60*P[1][5] + PS62*P[2][5] - PS65*P[5][14] + PS72*P[3][5] + PS74*P[0][5] + P[5][5];
|
|
||||||
const ftype PS182 = PS160*P[6][15] - PS162*P[6][13] - PS60*P[1][6] + PS62*P[2][6] - PS65*P[6][14] + PS72*P[3][6] + PS74*P[0][6] + P[5][6];
|
|
||||||
const ftype PS183 = -PS165*P[14][15] + PS166*P[13][15] + PS60*P[0][15] + PS62*P[3][15] - PS70*P[15][15] - PS72*P[2][15] + PS74*P[1][15] + P[6][15];
|
|
||||||
const ftype PS184 = -PS165*P[14][14] + PS166*P[13][14] + PS60*P[0][14] + PS62*P[3][14] - PS70*P[14][15] - PS72*P[2][14] + PS74*P[1][14] + P[6][14];
|
|
||||||
const ftype PS185 = -PS165*P[13][14] + PS166*P[13][13] + PS60*P[0][13] + PS62*P[3][13] - PS70*P[13][15] - PS72*P[2][13] + PS74*P[1][13] + P[6][13];
|
|
||||||
const ftype PS186 = -PS165*P[6][14] + PS166*P[6][13] + PS60*P[0][6] + PS62*P[3][6] - PS70*P[6][15] - PS72*P[2][6] + PS74*P[1][6] + P[6][6];
|
|
||||||
|
|
||||||
|
|
||||||
nextP[0][0] = PS0*PS1 - PS11*PS23 - PS12*PS26 - PS13*PS29 + PS14*PS6 + PS17*PS7 + PS2*PS3 + PS20*PS9 + PS33 + PS4*PS5;
|
|
||||||
nextP[0][1] = -PS1*PS36 + PS11*PS33 - PS12*PS29 + PS13*PS26 - PS14*PS34 + PS17*PS9 - PS20*PS7 + PS23 + PS3*PS35 - PS35*PS5;
|
|
||||||
nextP[1][1] = PS1*PS95 + PS100*PS11 + PS102*PS13 - PS105*PS34 - PS107*PS7 - PS109*PS12 + PS112 + PS2*PS5 + PS3*PS4 + PS9*PS97;
|
|
||||||
nextP[0][2] = -PS1*PS37 + PS11*PS29 + PS12*PS33 - PS13*PS23 - PS14*PS9 - PS17*PS34 + PS20*PS6 + PS26 - PS3*PS38 + PS37*PS5;
|
|
||||||
nextP[1][2] = PS1*PS40 + PS100*PS12 + PS102 - PS105*PS9 + PS107*PS6 + PS109*PS11 - PS112*PS13 - PS3*PS40 - PS34*PS97 - PS39*PS5;
|
|
||||||
nextP[2][2] = PS0*PS5 + PS1*PS4 + PS11*PS128 + PS12*PS130 + PS127*PS6 - PS13*PS135 - PS132*PS34 - PS133*PS9 + PS137 + PS3*PS95;
|
|
||||||
nextP[0][3] = PS1*PS39 - PS11*PS26 + PS12*PS23 + PS13*PS33 + PS14*PS7 - PS17*PS6 - PS20*PS34 + PS29 - PS3*PS39 - PS40*PS5;
|
|
||||||
nextP[1][3] = -PS1*PS38 - PS11*PS82 + PS12*PS92 + PS13*PS80 - PS3*PS37 - PS34*PS87 + PS38*PS5 - PS6*PS77 + PS7*PS85 + PS89;
|
|
||||||
nextP[2][3] = -PS1*PS35 - PS103*PS34 + PS104 + PS106*PS13 - PS108*PS6 + PS109*PS7 - PS11*PS113 + PS111*PS12 + PS3*PS36 - PS36*PS5;
|
|
||||||
nextP[3][3] = PS0*PS3 + PS1*PS2 - PS11*PS128 + PS12*PS124 + PS123*PS7 + PS125*PS13 - PS126*PS34 - PS127*PS6 + PS129 + PS42*PS5;
|
|
||||||
nextP[0][4] = PS23*PS62 + PS26*PS60 - PS44*PS45 - PS46*PS48 - PS52*PS53 + PS54*PS56 + PS57*PS58 + PS63;
|
|
||||||
nextP[1][4] = -PS44*PS93 - PS46*PS95 + PS54*PS97 + PS60*PS82 + PS62*PS92 + PS72*PS80 - PS74*PS89 + PS98;
|
|
||||||
nextP[2][4] = -PS104*PS74 + PS106*PS72 + PS111*PS62 + PS113*PS60 - PS114*PS44 - PS116*PS46 + PS118*PS54 + PS119;
|
|
||||||
nextP[3][4] = PS124*PS62 + PS125*PS72 + PS128*PS60 - PS129*PS74 - PS130*PS44 - PS132*PS46 + PS134*PS54 + PS135;
|
|
||||||
nextP[4][4] = -PS139*PS142 + PS140*PS146 - PS141*PS44 - PS145*PS74 + PS149*PS72 + PS152*PS60 + PS155*PS62 + PS156*sq(PS54) + PS157*sq(PS46) + PS158 + sq(PS44)*dvxVar;
|
|
||||||
nextP[0][5] = -PS23*PS60 + PS26*PS62 + PS48*PS68 + PS52*PS58 + PS53*PS57 - PS55*PS65 - PS66*PS67 + PS69;
|
|
||||||
nextP[1][5] = PS100 - PS60*PS92 + PS62*PS82 - PS65*PS96 - PS66*PS99 + PS68*PS95 + PS72*PS89 + PS74*PS80;
|
|
||||||
nextP[2][5] = PS104*PS72 + PS106*PS74 - PS111*PS60 + PS113*PS62 + PS116*PS68 - PS117*PS65 - PS120*PS66 + PS121;
|
|
||||||
nextP[3][5] = -PS124*PS60 + PS125*PS74 + PS128*PS62 + PS129*PS72 + PS132*PS68 - PS133*PS65 - PS136*PS66 + PS137;
|
|
||||||
nextP[4][5] = -PS140*PS161 + PS142*PS160 + PS145*PS72 - PS146*PS65 + PS149*PS74 + PS152*PS62 - PS155*PS60 - PS157*PS46*PS68 - PS159*PS66 + PS162*PS163 + PS164;
|
|
||||||
nextP[5][5] = PS157*sq(PS68) + PS160*PS173 - PS162*PS170 - PS169*PS65 - PS172*PS60 + PS175*PS72 + PS177*PS74 + PS179*PS62 + PS180*sq(PS66) + PS181 + sq(PS65)*dvyVar;
|
|
||||||
nextP[0][6] = PS23*PS74 - PS26*PS72 - PS47*PS70 + PS53*PS61 - PS56*PS71 + PS58*PS59 + PS67*PS73 + PS75;
|
|
||||||
nextP[1][6] = PS101 + PS60*PS80 + PS62*PS89 - PS70*PS94 - PS71*PS97 - PS72*PS82 + PS73*PS99 + PS74*PS92;
|
|
||||||
nextP[2][6] = PS104*PS62 + PS106*PS60 + PS111*PS74 - PS113*PS72 - PS115*PS70 - PS118*PS71 + PS120*PS73 + PS122;
|
|
||||||
nextP[3][6] = PS124*PS74 + PS125*PS60 - PS128*PS72 + PS129*PS62 - PS131*PS70 - PS134*PS71 + PS136*PS73 + PS138;
|
|
||||||
nextP[4][6] = PS139*PS167 - PS142*PS70 + PS145*PS62 - PS146*PS165 + PS149*PS60 - PS152*PS72 + PS155*PS74 - PS156*PS54*PS71 + PS159*PS73 - PS163*PS166 + PS168;
|
|
||||||
nextP[5][6] = -PS160*PS167 + PS161*PS165 - PS165*PS169 + PS166*PS170 + PS172*PS74 - PS173*PS70 + PS175*PS62 + PS177*PS60 - PS179*PS72 - PS180*PS66*PS73 + PS182;
|
|
||||||
nextP[6][6] = PS156*sq(PS71) - PS165*PS184 + PS166*PS185 + PS180*sq(PS73) - PS183*PS70 + PS186 + PS60*(-PS151 - PS165*P[0][14] + PS166*P[0][13] + PS171 + PS60*P[0][0] + PS62*P[0][3] - PS70*P[0][15] + P[0][6]) + PS62*(PS154 - PS165*P[3][14] + PS166*P[3][13] - PS178 + PS60*P[0][3] + PS62*P[3][3] - PS70*P[3][15] + P[3][6]) + sq(PS70)*dvzVar - PS72*(PS147 - PS165*P[2][14] + PS166*P[2][13] + PS174 - PS70*P[2][15] - PS72*P[2][2] + PS74*P[1][2] + P[2][6]) + PS74*(PS143 - PS165*P[1][14] + PS166*P[1][13] + PS176 - PS70*P[1][15] - PS72*P[1][2] + PS74*P[1][1] + P[1][6]);
|
|
||||||
nextP[0][7] = -PS11*P[1][7] - PS12*P[2][7] - PS13*P[3][7] + PS6*P[7][10] + PS63*dt + PS7*P[7][11] + PS9*P[7][12] + P[0][7];
|
|
||||||
nextP[1][7] = PS11*P[0][7] - PS12*P[3][7] + PS13*P[2][7] - PS34*P[7][10] - PS7*P[7][12] + PS9*P[7][11] + PS98*dt + P[1][7];
|
|
||||||
nextP[2][7] = PS11*P[3][7] + PS119*dt + PS12*P[0][7] - PS13*P[1][7] - PS34*P[7][11] + PS6*P[7][12] - PS9*P[7][10] + P[2][7];
|
|
||||||
nextP[3][7] = -PS11*P[2][7] + PS12*P[1][7] + PS13*P[0][7] + PS135*dt - PS34*P[7][12] - PS6*P[7][11] + PS7*P[7][10] + P[3][7];
|
|
||||||
nextP[4][7] = -PS139*P[7][15] + PS140*P[7][14] + PS158*dt - PS44*P[7][13] + PS60*P[2][7] + PS62*P[1][7] + PS72*P[0][7] - PS74*P[3][7] + P[4][7];
|
|
||||||
nextP[5][7] = PS160*P[7][15] - PS162*P[7][13] - PS60*P[1][7] + PS62*P[2][7] - PS65*P[7][14] + PS72*P[3][7] + PS74*P[0][7] + P[5][7] + dt*(PS160*P[4][15] - PS162*P[4][13] - PS60*P[1][4] + PS62*P[2][4] - PS65*P[4][14] + PS72*P[3][4] + PS74*P[0][4] + P[4][5]);
|
|
||||||
nextP[6][7] = -PS165*P[7][14] + PS166*P[7][13] + PS60*P[0][7] + PS62*P[3][7] - PS70*P[7][15] - PS72*P[2][7] + PS74*P[1][7] + P[6][7] + dt*(-PS165*P[4][14] + PS166*P[4][13] + PS60*P[0][4] + PS62*P[3][4] - PS70*P[4][15] - PS72*P[2][4] + PS74*P[1][4] + P[4][6]);
|
|
||||||
nextP[7][7] = P[4][7]*dt + P[7][7] + dt*(P[4][4]*dt + P[4][7]);
|
|
||||||
nextP[0][8] = -PS11*P[1][8] - PS12*P[2][8] - PS13*P[3][8] + PS6*P[8][10] + PS7*P[8][11] + PS86*dt + PS9*P[8][12] + P[0][8];
|
|
||||||
nextP[1][8] = PS11*P[0][8] - PS12*P[3][8] + PS124*dt + PS13*P[2][8] - PS34*P[8][10] - PS7*P[8][12] + PS9*P[8][11] + P[1][8];
|
|
||||||
nextP[2][8] = PS11*P[3][8] + PS12*P[0][8] - PS13*P[1][8] + PS149*dt - PS34*P[8][11] + PS6*P[8][12] - PS9*P[8][10] + P[2][8];
|
|
||||||
nextP[3][8] = -PS11*P[2][8] + PS12*P[1][8] + PS13*P[0][8] + PS169*dt - PS34*P[8][12] - PS6*P[8][11] + PS7*P[8][10] + P[3][8];
|
|
||||||
nextP[4][8] = -PS171*P[8][15] + PS172*P[8][14] + PS173*P[1][8] + PS174*P[0][8] + PS175*P[2][8] - PS176*P[3][8] + PS196*dt + PS43*P[8][13] + P[4][8];
|
|
||||||
nextP[5][8] = PS190*P[8][15] - PS193*P[8][13] + PS201*P[2][8] - PS202*P[0][8] + PS203*P[3][8] - PS204*P[1][8] + PS213*dt + PS75*P[8][14] + P[5][8];
|
|
||||||
nextP[6][8] = -PS197*P[8][14] + PS199*P[8][13] - PS214*P[2][8] + PS215*P[3][8] + PS216*P[0][8] + PS217*P[1][8] + PS87*P[8][15] + P[6][8] + dt*(-PS197*P[5][14] + PS199*P[5][13] - PS214*P[2][5] + PS215*P[3][5] + PS216*P[0][5] + PS217*P[1][5] + PS87*P[5][15] + P[5][6]);
|
|
||||||
nextP[7][8] = P[4][8]*dt + P[7][8] + dt*(P[4][5]*dt + P[5][7]);
|
|
||||||
nextP[8][8] = P[5][8]*dt + P[8][8] + dt*(P[5][5]*dt + P[5][8]);
|
|
||||||
nextP[0][9] = -PS11*P[1][9] - PS12*P[2][9] - PS13*P[3][9] + PS6*P[9][10] + PS7*P[9][11] + PS9*P[9][12] + PS94*dt + P[0][9];
|
|
||||||
nextP[1][9] = PS11*P[0][9] - PS12*P[3][9] + PS125*dt + PS13*P[2][9] - PS34*P[9][10] - PS7*P[9][12] + PS9*P[9][11] + P[1][9];
|
|
||||||
nextP[2][9] = PS11*P[3][9] + PS12*P[0][9] - PS13*P[1][9] + PS150*dt - PS34*P[9][11] + PS6*P[9][12] - PS9*P[9][10] + P[2][9];
|
|
||||||
nextP[3][9] = -PS11*P[2][9] + PS12*P[1][9] + PS13*P[0][9] + PS170*dt - PS34*P[9][12] - PS6*P[9][11] + PS7*P[9][10] + P[3][9];
|
|
||||||
nextP[4][9] = -PS171*P[9][15] + PS172*P[9][14] + PS173*P[1][9] + PS174*P[0][9] + PS175*P[2][9] - PS176*P[3][9] + PS200*dt + PS43*P[9][13] + P[4][9];
|
|
||||||
nextP[5][9] = PS190*P[9][15] - PS193*P[9][13] + PS201*P[2][9] - PS202*P[0][9] + PS203*P[3][9] - PS204*P[1][9] + PS218*dt + PS75*P[9][14] + P[5][9];
|
|
||||||
nextP[6][9] = -PS197*P[9][14] + PS199*P[9][13] - PS214*P[2][9] + PS215*P[3][9] + PS216*P[0][9] + PS217*P[1][9] + PS222*dt + PS87*P[9][15] + P[6][9];
|
|
||||||
nextP[7][9] = P[4][9]*dt + P[7][9] + dt*(P[4][6]*dt + P[6][7]);
|
|
||||||
nextP[8][9] = P[5][9]*dt + P[8][9] + dt*(P[5][6]*dt + P[6][8]);
|
|
||||||
nextP[9][9] = P[6][9]*dt + P[9][9] + dt*(P[6][6]*dt + P[6][9]);
|
|
||||||
nextP[0][10] = PS14;
|
|
||||||
nextP[1][10] = PS105;
|
|
||||||
nextP[2][10] = PS133;
|
|
||||||
nextP[3][10] = PS151;
|
|
||||||
nextP[4][10] = -PS171*P[10][15] + PS172*P[10][14] + PS173*P[1][10] + PS174*P[0][10] + PS175*P[2][10] - PS176*P[3][10] + PS43*P[10][13] + P[4][10];
|
|
||||||
nextP[5][10] = PS190*P[10][15] - PS193*P[10][13] + PS201*P[2][10] - PS202*P[0][10] + PS203*P[3][10] - PS204*P[1][10] + PS75*P[10][14] + P[5][10];
|
|
||||||
nextP[6][10] = -PS197*P[10][14] + PS199*P[10][13] - PS214*P[2][10] + PS215*P[3][10] + PS216*P[0][10] + PS217*P[1][10] + PS87*P[10][15] + P[6][10];
|
|
||||||
nextP[7][10] = P[4][10]*dt + P[7][10];
|
|
||||||
nextP[8][10] = P[5][10]*dt + P[8][10];
|
|
||||||
nextP[9][10] = P[6][10]*dt + P[9][10];
|
|
||||||
nextP[10][10] = P[10][10];
|
|
||||||
nextP[0][11] = PS17;
|
|
||||||
nextP[1][11] = PS97;
|
|
||||||
nextP[2][11] = PS132;
|
|
||||||
nextP[3][11] = PS155;
|
|
||||||
nextP[4][11] = -PS171*P[11][15] + PS172*P[11][14] + PS173*P[1][11] + PS174*P[0][11] + PS175*P[2][11] - PS176*P[3][11] + PS43*P[11][13] + P[4][11];
|
|
||||||
nextP[5][11] = PS190*P[11][15] - PS193*P[11][13] + PS201*P[2][11] - PS202*P[0][11] + PS203*P[3][11] - PS204*P[1][11] + PS75*P[11][14] + P[5][11];
|
|
||||||
nextP[6][11] = -PS197*P[11][14] + PS199*P[11][13] - PS214*P[2][11] + PS215*P[3][11] + PS216*P[0][11] + PS217*P[1][11] + PS87*P[11][15] + P[6][11];
|
|
||||||
nextP[7][11] = P[4][11]*dt + P[7][11];
|
|
||||||
nextP[8][11] = P[5][11]*dt + P[8][11];
|
|
||||||
nextP[9][11] = P[6][11]*dt + P[9][11];
|
|
||||||
nextP[10][11] = P[10][11];
|
|
||||||
nextP[11][11] = P[11][11];
|
|
||||||
nextP[0][12] = PS20;
|
|
||||||
nextP[1][12] = PS107;
|
|
||||||
nextP[2][12] = PS127;
|
|
||||||
nextP[3][12] = PS154;
|
|
||||||
nextP[4][12] = -PS171*P[12][15] + PS172*P[12][14] + PS173*P[1][12] + PS174*P[0][12] + PS175*P[2][12] - PS176*P[3][12] + PS43*P[12][13] + P[4][12];
|
|
||||||
nextP[5][12] = PS190*P[12][15] - PS193*P[12][13] + PS201*P[2][12] - PS202*P[0][12] + PS203*P[3][12] - PS204*P[1][12] + PS75*P[12][14] + P[5][12];
|
|
||||||
nextP[6][12] = -PS197*P[12][14] + PS199*P[12][13] - PS214*P[2][12] + PS215*P[3][12] + PS216*P[0][12] + PS217*P[1][12] + PS87*P[12][15] + P[6][12];
|
|
||||||
nextP[7][12] = P[4][12]*dt + P[7][12];
|
|
||||||
nextP[8][12] = P[5][12]*dt + P[8][12];
|
|
||||||
nextP[9][12] = P[6][12]*dt + P[9][12];
|
|
||||||
nextP[10][12] = P[10][12];
|
|
||||||
nextP[11][12] = P[11][12];
|
|
||||||
nextP[12][12] = P[12][12];
|
|
||||||
nextP[0][13] = PS44;
|
|
||||||
nextP[1][13] = PS113;
|
|
||||||
nextP[2][13] = PS138;
|
|
||||||
nextP[3][13] = PS158;
|
|
||||||
nextP[4][13] = PS177;
|
|
||||||
nextP[5][13] = PS206;
|
|
||||||
nextP[6][13] = PS221;
|
|
||||||
nextP[7][13] = P[4][13]*dt + P[7][13];
|
|
||||||
nextP[8][13] = P[5][13]*dt + P[8][13];
|
|
||||||
nextP[9][13] = P[6][13]*dt + P[9][13];
|
|
||||||
nextP[10][13] = P[10][13];
|
|
||||||
nextP[11][13] = P[11][13];
|
|
||||||
nextP[12][13] = P[12][13];
|
|
||||||
nextP[13][13] = P[13][13];
|
|
||||||
nextP[0][14] = PS57;
|
|
||||||
nextP[1][14] = PS117;
|
|
||||||
nextP[2][14] = PS142;
|
|
||||||
nextP[3][14] = PS162;
|
|
||||||
nextP[4][14] = PS180;
|
|
||||||
nextP[5][14] = PS205;
|
|
||||||
nextP[6][14] = PS220;
|
|
||||||
nextP[7][14] = P[4][14]*dt + P[7][14];
|
|
||||||
nextP[8][14] = P[5][14]*dt + P[8][14];
|
|
||||||
nextP[9][14] = P[6][14]*dt + P[9][14];
|
|
||||||
nextP[10][14] = P[10][14];
|
|
||||||
nextP[11][14] = P[11][14];
|
|
||||||
nextP[12][14] = P[12][14];
|
|
||||||
nextP[13][14] = P[13][14];
|
|
||||||
nextP[14][14] = P[14][14];
|
|
||||||
nextP[0][15] = PS46;
|
|
||||||
nextP[1][15] = PS114;
|
|
||||||
nextP[2][15] = PS139;
|
|
||||||
nextP[3][15] = PS159;
|
|
||||||
nextP[4][15] = PS178;
|
|
||||||
nextP[5][15] = PS209;
|
|
||||||
nextP[6][15] = PS219;
|
|
||||||
nextP[7][15] = P[4][15]*dt + P[7][15];
|
|
||||||
nextP[8][15] = P[5][15]*dt + P[8][15];
|
|
||||||
nextP[9][15] = P[6][15]*dt + P[9][15];
|
|
||||||
nextP[10][15] = P[10][15];
|
|
||||||
nextP[11][15] = P[11][15];
|
|
||||||
nextP[12][15] = P[12][15];
|
|
||||||
nextP[13][15] = P[13][15];
|
|
||||||
nextP[14][15] = P[14][15];
|
|
||||||
nextP[15][15] = P[15][15];
|
|
||||||
nextP[0][16] = -PS11*P[1][16] - PS12*P[2][16] - PS13*P[3][16] + PS6*P[10][16] + PS7*P[11][16] + PS9*P[12][16] + P[0][16];
|
|
||||||
nextP[1][16] = PS11*P[0][16] - PS12*P[3][16] + PS13*P[2][16] - PS34*P[10][16] - PS7*P[12][16] + PS9*P[11][16] + P[1][16];
|
|
||||||
nextP[2][16] = PS11*P[3][16] + PS12*P[0][16] - PS13*P[1][16] - PS34*P[11][16] + PS6*P[12][16] - PS9*P[10][16] + P[2][16];
|
|
||||||
nextP[3][16] = -PS11*P[2][16] + PS12*P[1][16] + PS13*P[0][16] - PS34*P[12][16] - PS6*P[11][16] + PS7*P[10][16] + P[3][16];
|
|
||||||
nextP[4][16] = -PS171*P[15][16] + PS172*P[14][16] + PS173*P[1][16] + PS174*P[0][16] + PS175*P[2][16] - PS176*P[3][16] + PS43*P[13][16] + P[4][16];
|
|
||||||
nextP[5][16] = PS190*P[15][16] - PS193*P[13][16] + PS201*P[2][16] - PS202*P[0][16] + PS203*P[3][16] - PS204*P[1][16] + PS75*P[14][16] + P[5][16];
|
|
||||||
nextP[6][16] = -PS197*P[14][16] + PS199*P[13][16] - PS214*P[2][16] + PS215*P[3][16] + PS216*P[0][16] + PS217*P[1][16] + PS87*P[15][16] + P[6][16];
|
|
||||||
nextP[7][16] = P[4][16]*dt + P[7][16];
|
|
||||||
nextP[8][16] = P[5][16]*dt + P[8][16];
|
|
||||||
nextP[9][16] = P[6][16]*dt + P[9][16];
|
|
||||||
nextP[10][16] = P[10][16];
|
|
||||||
nextP[11][16] = P[11][16];
|
|
||||||
nextP[12][16] = P[12][16];
|
|
||||||
nextP[13][16] = P[13][16];
|
|
||||||
nextP[14][16] = P[14][16];
|
|
||||||
nextP[15][16] = P[15][16];
|
|
||||||
nextP[16][16] = P[16][16];
|
|
||||||
nextP[0][17] = -PS11*P[1][17] - PS12*P[2][17] - PS13*P[3][17] + PS6*P[10][17] + PS7*P[11][17] + PS9*P[12][17] + P[0][17];
|
|
||||||
nextP[1][17] = PS11*P[0][17] - PS12*P[3][17] + PS13*P[2][17] - PS34*P[10][17] - PS7*P[12][17] + PS9*P[11][17] + P[1][17];
|
|
||||||
nextP[2][17] = PS11*P[3][17] + PS12*P[0][17] - PS13*P[1][17] - PS34*P[11][17] + PS6*P[12][17] - PS9*P[10][17] + P[2][17];
|
|
||||||
nextP[3][17] = -PS11*P[2][17] + PS12*P[1][17] + PS13*P[0][17] - PS34*P[12][17] - PS6*P[11][17] + PS7*P[10][17] + P[3][17];
|
|
||||||
nextP[4][17] = -PS171*P[15][17] + PS172*P[14][17] + PS173*P[1][17] + PS174*P[0][17] + PS175*P[2][17] - PS176*P[3][17] + PS43*P[13][17] + P[4][17];
|
|
||||||
nextP[5][17] = PS190*P[15][17] - PS193*P[13][17] + PS201*P[2][17] - PS202*P[0][17] + PS203*P[3][17] - PS204*P[1][17] + PS75*P[14][17] + P[5][17];
|
|
||||||
nextP[6][17] = -PS197*P[14][17] + PS199*P[13][17] - PS214*P[2][17] + PS215*P[3][17] + PS216*P[0][17] + PS217*P[1][17] + PS87*P[15][17] + P[6][17];
|
|
||||||
nextP[7][17] = P[4][17]*dt + P[7][17];
|
|
||||||
nextP[8][17] = P[5][17]*dt + P[8][17];
|
|
||||||
nextP[9][17] = P[6][17]*dt + P[9][17];
|
|
||||||
nextP[10][17] = P[10][17];
|
|
||||||
nextP[11][17] = P[11][17];
|
|
||||||
nextP[12][17] = P[12][17];
|
|
||||||
nextP[13][17] = P[13][17];
|
|
||||||
nextP[14][17] = P[14][17];
|
|
||||||
nextP[15][17] = P[15][17];
|
|
||||||
nextP[16][17] = P[16][17];
|
|
||||||
nextP[17][17] = P[17][17];
|
|
||||||
nextP[0][18] = -PS11*P[1][18] - PS12*P[2][18] - PS13*P[3][18] + PS6*P[10][18] + PS7*P[11][18] + PS9*P[12][18] + P[0][18];
|
|
||||||
nextP[1][18] = PS11*P[0][18] - PS12*P[3][18] + PS13*P[2][18] - PS34*P[10][18] - PS7*P[12][18] + PS9*P[11][18] + P[1][18];
|
|
||||||
nextP[2][18] = PS11*P[3][18] + PS12*P[0][18] - PS13*P[1][18] - PS34*P[11][18] + PS6*P[12][18] - PS9*P[10][18] + P[2][18];
|
|
||||||
nextP[3][18] = -PS11*P[2][18] + PS12*P[1][18] + PS13*P[0][18] - PS34*P[12][18] - PS6*P[11][18] + PS7*P[10][18] + P[3][18];
|
|
||||||
nextP[4][18] = -PS171*P[15][18] + PS172*P[14][18] + PS173*P[1][18] + PS174*P[0][18] + PS175*P[2][18] - PS176*P[3][18] + PS43*P[13][18] + P[4][18];
|
|
||||||
nextP[5][18] = PS190*P[15][18] - PS193*P[13][18] + PS201*P[2][18] - PS202*P[0][18] + PS203*P[3][18] - PS204*P[1][18] + PS75*P[14][18] + P[5][18];
|
|
||||||
nextP[6][18] = -PS197*P[14][18] + PS199*P[13][18] - PS214*P[2][18] + PS215*P[3][18] + PS216*P[0][18] + PS217*P[1][18] + PS87*P[15][18] + P[6][18];
|
|
||||||
nextP[7][18] = P[4][18]*dt + P[7][18];
|
|
||||||
nextP[8][18] = P[5][18]*dt + P[8][18];
|
|
||||||
nextP[9][18] = P[6][18]*dt + P[9][18];
|
|
||||||
nextP[10][18] = P[10][18];
|
|
||||||
nextP[11][18] = P[11][18];
|
|
||||||
nextP[12][18] = P[12][18];
|
|
||||||
nextP[13][18] = P[13][18];
|
|
||||||
nextP[14][18] = P[14][18];
|
|
||||||
nextP[15][18] = P[15][18];
|
|
||||||
nextP[16][18] = P[16][18];
|
|
||||||
nextP[17][18] = P[17][18];
|
|
||||||
nextP[18][18] = P[18][18];
|
|
||||||
nextP[0][19] = -PS11*P[1][19] - PS12*P[2][19] - PS13*P[3][19] + PS6*P[10][19] + PS7*P[11][19] + PS9*P[12][19] + P[0][19];
|
|
||||||
nextP[1][19] = PS11*P[0][19] - PS12*P[3][19] + PS13*P[2][19] - PS34*P[10][19] - PS7*P[12][19] + PS9*P[11][19] + P[1][19];
|
|
||||||
nextP[2][19] = PS11*P[3][19] + PS12*P[0][19] - PS13*P[1][19] - PS34*P[11][19] + PS6*P[12][19] - PS9*P[10][19] + P[2][19];
|
|
||||||
nextP[3][19] = -PS11*P[2][19] + PS12*P[1][19] + PS13*P[0][19] - PS34*P[12][19] - PS6*P[11][19] + PS7*P[10][19] + P[3][19];
|
|
||||||
nextP[4][19] = -PS171*P[15][19] + PS172*P[14][19] + PS173*P[1][19] + PS174*P[0][19] + PS175*P[2][19] - PS176*P[3][19] + PS43*P[13][19] + P[4][19];
|
|
||||||
nextP[5][19] = PS190*P[15][19] - PS193*P[13][19] + PS201*P[2][19] - PS202*P[0][19] + PS203*P[3][19] - PS204*P[1][19] + PS75*P[14][19] + P[5][19];
|
|
||||||
nextP[6][19] = -PS197*P[14][19] + PS199*P[13][19] - PS214*P[2][19] + PS215*P[3][19] + PS216*P[0][19] + PS217*P[1][19] + PS87*P[15][19] + P[6][19];
|
|
||||||
nextP[7][19] = P[4][19]*dt + P[7][19];
|
|
||||||
nextP[8][19] = P[5][19]*dt + P[8][19];
|
|
||||||
nextP[9][19] = P[6][19]*dt + P[9][19];
|
|
||||||
nextP[10][19] = P[10][19];
|
|
||||||
nextP[11][19] = P[11][19];
|
|
||||||
nextP[12][19] = P[12][19];
|
|
||||||
nextP[13][19] = P[13][19];
|
|
||||||
nextP[14][19] = P[14][19];
|
|
||||||
nextP[15][19] = P[15][19];
|
|
||||||
nextP[16][19] = P[16][19];
|
|
||||||
nextP[17][19] = P[17][19];
|
|
||||||
nextP[18][19] = P[18][19];
|
|
||||||
nextP[19][19] = P[19][19];
|
|
||||||
nextP[0][20] = -PS11*P[1][20] - PS12*P[2][20] - PS13*P[3][20] + PS6*P[10][20] + PS7*P[11][20] + PS9*P[12][20] + P[0][20];
|
|
||||||
nextP[1][20] = PS11*P[0][20] - PS12*P[3][20] + PS13*P[2][20] - PS34*P[10][20] - PS7*P[12][20] + PS9*P[11][20] + P[1][20];
|
|
||||||
nextP[2][20] = PS11*P[3][20] + PS12*P[0][20] - PS13*P[1][20] - PS34*P[11][20] + PS6*P[12][20] - PS9*P[10][20] + P[2][20];
|
|
||||||
nextP[3][20] = -PS11*P[2][20] + PS12*P[1][20] + PS13*P[0][20] - PS34*P[12][20] - PS6*P[11][20] + PS7*P[10][20] + P[3][20];
|
|
||||||
nextP[4][20] = -PS171*P[15][20] + PS172*P[14][20] + PS173*P[1][20] + PS174*P[0][20] + PS175*P[2][20] - PS176*P[3][20] + PS43*P[13][20] + P[4][20];
|
|
||||||
nextP[5][20] = PS190*P[15][20] - PS193*P[13][20] + PS201*P[2][20] - PS202*P[0][20] + PS203*P[3][20] - PS204*P[1][20] + PS75*P[14][20] + P[5][20];
|
|
||||||
nextP[6][20] = -PS197*P[14][20] + PS199*P[13][20] - PS214*P[2][20] + PS215*P[3][20] + PS216*P[0][20] + PS217*P[1][20] + PS87*P[15][20] + P[6][20];
|
|
||||||
nextP[7][20] = P[4][20]*dt + P[7][20];
|
|
||||||
nextP[8][20] = P[5][20]*dt + P[8][20];
|
|
||||||
nextP[9][20] = P[6][20]*dt + P[9][20];
|
|
||||||
nextP[10][20] = P[10][20];
|
|
||||||
nextP[11][20] = P[11][20];
|
|
||||||
nextP[12][20] = P[12][20];
|
|
||||||
nextP[13][20] = P[13][20];
|
|
||||||
nextP[14][20] = P[14][20];
|
|
||||||
nextP[15][20] = P[15][20];
|
|
||||||
nextP[16][20] = P[16][20];
|
|
||||||
nextP[17][20] = P[17][20];
|
|
||||||
nextP[18][20] = P[18][20];
|
|
||||||
nextP[19][20] = P[19][20];
|
|
||||||
nextP[20][20] = P[20][20];
|
|
||||||
nextP[0][21] = -PS11*P[1][21] - PS12*P[2][21] - PS13*P[3][21] + PS6*P[10][21] + PS7*P[11][21] + PS9*P[12][21] + P[0][21];
|
|
||||||
nextP[1][21] = PS11*P[0][21] - PS12*P[3][21] + PS13*P[2][21] - PS34*P[10][21] - PS7*P[12][21] + PS9*P[11][21] + P[1][21];
|
|
||||||
nextP[2][21] = PS11*P[3][21] + PS12*P[0][21] - PS13*P[1][21] - PS34*P[11][21] + PS6*P[12][21] - PS9*P[10][21] + P[2][21];
|
|
||||||
nextP[3][21] = -PS11*P[2][21] + PS12*P[1][21] + PS13*P[0][21] - PS34*P[12][21] - PS6*P[11][21] + PS7*P[10][21] + P[3][21];
|
|
||||||
nextP[4][21] = -PS171*P[15][21] + PS172*P[14][21] + PS173*P[1][21] + PS174*P[0][21] + PS175*P[2][21] - PS176*P[3][21] + PS43*P[13][21] + P[4][21];
|
|
||||||
nextP[5][21] = PS190*P[15][21] - PS193*P[13][21] + PS201*P[2][21] - PS202*P[0][21] + PS203*P[3][21] - PS204*P[1][21] + PS75*P[14][21] + P[5][21];
|
|
||||||
nextP[6][21] = -PS197*P[14][21] + PS199*P[13][21] - PS214*P[2][21] + PS215*P[3][21] + PS216*P[0][21] + PS217*P[1][21] + PS87*P[15][21] + P[6][21];
|
|
||||||
nextP[7][21] = P[4][21]*dt + P[7][21];
|
|
||||||
nextP[8][21] = P[5][21]*dt + P[8][21];
|
|
||||||
nextP[9][21] = P[6][21]*dt + P[9][21];
|
|
||||||
nextP[10][21] = P[10][21];
|
|
||||||
nextP[11][21] = P[11][21];
|
|
||||||
nextP[12][21] = P[12][21];
|
|
||||||
nextP[13][21] = P[13][21];
|
|
||||||
nextP[14][21] = P[14][21];
|
|
||||||
nextP[15][21] = P[15][21];
|
|
||||||
nextP[16][21] = P[16][21];
|
|
||||||
nextP[17][21] = P[17][21];
|
|
||||||
nextP[18][21] = P[18][21];
|
|
||||||
nextP[19][21] = P[19][21];
|
|
||||||
nextP[20][21] = P[20][21];
|
|
||||||
nextP[21][21] = P[21][21];
|
|
||||||
nextP[0][22] = -PS11*P[1][22] - PS12*P[2][22] - PS13*P[3][22] + PS6*P[10][22] + PS7*P[11][22] + PS9*P[12][22] + P[0][22];
|
|
||||||
nextP[1][22] = PS11*P[0][22] - PS12*P[3][22] + PS13*P[2][22] - PS34*P[10][22] - PS7*P[12][22] + PS9*P[11][22] + P[1][22];
|
|
||||||
nextP[2][22] = PS11*P[3][22] + PS12*P[0][22] - PS13*P[1][22] - PS34*P[11][22] + PS6*P[12][22] - PS9*P[10][22] + P[2][22];
|
|
||||||
nextP[3][22] = -PS11*P[2][22] + PS12*P[1][22] + PS13*P[0][22] - PS34*P[12][22] - PS6*P[11][22] + PS7*P[10][22] + P[3][22];
|
|
||||||
nextP[4][22] = -PS171*P[15][22] + PS172*P[14][22] + PS173*P[1][22] + PS174*P[0][22] + PS175*P[2][22] - PS176*P[3][22] + PS43*P[13][22] + P[4][22];
|
|
||||||
nextP[5][22] = PS190*P[15][22] - PS193*P[13][22] + PS201*P[2][22] - PS202*P[0][22] + PS203*P[3][22] - PS204*P[1][22] + PS75*P[14][22] + P[5][22];
|
|
||||||
nextP[6][22] = -PS197*P[14][22] + PS199*P[13][22] - PS214*P[2][22] + PS215*P[3][22] + PS216*P[0][22] + PS217*P[1][22] + PS87*P[15][22] + P[6][22];
|
|
||||||
nextP[7][22] = P[4][22]*dt + P[7][22];
|
|
||||||
nextP[8][22] = P[5][22]*dt + P[8][22];
|
|
||||||
nextP[9][22] = P[6][22]*dt + P[9][22];
|
|
||||||
nextP[10][22] = P[10][22];
|
|
||||||
nextP[11][22] = P[11][22];
|
|
||||||
nextP[12][22] = P[12][22];
|
|
||||||
nextP[13][22] = P[13][22];
|
|
||||||
nextP[14][22] = P[14][22];
|
|
||||||
nextP[15][22] = P[15][22];
|
|
||||||
nextP[16][22] = P[16][22];
|
|
||||||
nextP[17][22] = P[17][22];
|
|
||||||
nextP[18][22] = P[18][22];
|
|
||||||
nextP[19][22] = P[19][22];
|
|
||||||
nextP[20][22] = P[20][22];
|
|
||||||
nextP[21][22] = P[21][22];
|
|
||||||
nextP[22][22] = P[22][22];
|
|
||||||
nextP[0][23] = -PS11*P[1][23] - PS12*P[2][23] - PS13*P[3][23] + PS6*P[10][23] + PS7*P[11][23] + PS9*P[12][23] + P[0][23];
|
|
||||||
nextP[1][23] = PS11*P[0][23] - PS12*P[3][23] + PS13*P[2][23] - PS34*P[10][23] - PS7*P[12][23] + PS9*P[11][23] + P[1][23];
|
|
||||||
nextP[2][23] = PS11*P[3][23] + PS12*P[0][23] - PS13*P[1][23] - PS34*P[11][23] + PS6*P[12][23] - PS9*P[10][23] + P[2][23];
|
|
||||||
nextP[3][23] = -PS11*P[2][23] + PS12*P[1][23] + PS13*P[0][23] - PS34*P[12][23] - PS6*P[11][23] + PS7*P[10][23] + P[3][23];
|
|
||||||
nextP[4][23] = -PS171*P[15][23] + PS172*P[14][23] + PS173*P[1][23] + PS174*P[0][23] + PS175*P[2][23] - PS176*P[3][23] + PS43*P[13][23] + P[4][23];
|
|
||||||
nextP[5][23] = PS190*P[15][23] - PS193*P[13][23] + PS201*P[2][23] - PS202*P[0][23] + PS203*P[3][23] - PS204*P[1][23] + PS75*P[14][23] + P[5][23];
|
|
||||||
nextP[6][23] = -PS197*P[14][23] + PS199*P[13][23] - PS214*P[2][23] + PS215*P[3][23] + PS216*P[0][23] + PS217*P[1][23] + PS87*P[15][23] + P[6][23];
|
|
||||||
nextP[7][23] = P[4][23]*dt + P[7][23];
|
|
||||||
nextP[8][23] = P[5][23]*dt + P[8][23];
|
|
||||||
nextP[9][23] = P[6][23]*dt + P[9][23];
|
|
||||||
nextP[10][23] = P[10][23];
|
|
||||||
nextP[11][23] = P[11][23];
|
|
||||||
nextP[12][23] = P[12][23];
|
|
||||||
nextP[13][23] = P[13][23];
|
|
||||||
nextP[14][23] = P[14][23];
|
|
||||||
nextP[15][23] = P[15][23];
|
|
||||||
nextP[16][23] = P[16][23];
|
|
||||||
nextP[17][23] = P[17][23];
|
|
||||||
nextP[18][23] = P[18][23];
|
|
||||||
nextP[19][23] = P[19][23];
|
|
||||||
nextP[20][23] = P[20][23];
|
|
||||||
nextP[21][23] = P[21][23];
|
|
||||||
nextP[22][23] = P[22][23];
|
|
||||||
nextP[23][23] = P[23][23];
|
|
||||||
|
|
||||||
|
|
||||||
Loading…
Reference in New Issue