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64 lines
2.9 KiB
64 lines
2.9 KiB
/**********
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Copyright 1990 Regents of the University of California. All rights reserved.
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Author: 1989 Jaijeet S. Roychowdhury
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**********/
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#include "ngspice.h"
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#include "distodef.h"
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#include "suffix.h"
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/*
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* TanDeriv computes the partial derivatives of the tangent
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* function where the argument to the function is itself a
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* function of three variables p, q, and r.
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*/
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void TanDeriv(
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Dderivs *new, Dderivs *old)
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{
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Dderivs temp;
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EqualDeriv(&temp, old);
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new->value = tan(temp.value);
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new->d1_p = (1 + new->value*new->value)*temp.d1_p;
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new->d1_q = (1 + new->value*new->value)*temp.d1_q;
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new->d1_r = (1 + new->value*new->value)*temp.d1_r;
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new->d2_p2 = (1 + new->value*new->value)*temp.d2_p2 + 2*new->value*temp.d1_p*new->d1_p;
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new->d2_q2 = (1 + new->value*new->value)*temp.d2_q2 + 2*new->value*temp.d1_q*new->d1_q;
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new->d2_r2 = (1 + new->value*new->value)*temp.d2_r2 + 2*new->value*temp.d1_r*new->d1_r;
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new->d2_pq = (1 + new->value*new->value)*temp.d2_pq + 2*new->value*temp.d1_p*new->d1_q;
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new->d2_qr = (1 + new->value*new->value)*temp.d2_qr + 2*new->value*temp.d1_q*new->d1_r;
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new->d2_pr = (1 + new->value*new->value)*temp.d2_pr + 2*new->value*temp.d1_p*new->d1_r;
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new->d3_p3 = (1 + new->value*new->value)*temp.d3_p3 +2*( new->value*(
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temp.d2_p2*new->d1_p + temp.d2_p2*new->d1_p + new->d2_p2*
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temp.d1_p) + temp.d1_p*new->d1_p*new->d1_p);
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new->d3_q3 = (1 + new->value*new->value)*temp.d3_q3 +2*( new->value*(
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temp.d2_q2*new->d1_q + temp.d2_q2*new->d1_q + new->d2_q2*
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temp.d1_q) + temp.d1_q*new->d1_q*new->d1_q);
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new->d3_r3 = (1 + new->value*new->value)*temp.d3_r3 +2*( new->value*(
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temp.d2_r2*new->d1_r + temp.d2_r2*new->d1_r + new->d2_r2*
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temp.d1_r) + temp.d1_r*new->d1_r*new->d1_r);
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new->d3_p2r = (1 + new->value*new->value)*temp.d3_p2r +2*( new->value*(
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temp.d2_p2*new->d1_r + temp.d2_pr*new->d1_p + new->d2_pr*
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temp.d1_p) + temp.d1_p*new->d1_p*new->d1_r);
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new->d3_p2q = (1 + new->value*new->value)*temp.d3_p2q +2*( new->value*(
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temp.d2_p2*new->d1_q + temp.d2_pq*new->d1_p + new->d2_pq*
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temp.d1_p) + temp.d1_p*new->d1_p*new->d1_q);
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new->d3_q2r = (1 + new->value*new->value)*temp.d3_q2r +2*( new->value*(
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temp.d2_q2*new->d1_r + temp.d2_qr*new->d1_q + new->d2_qr*
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temp.d1_q) + temp.d1_q*new->d1_q*new->d1_r);
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new->d3_pq2 = (1 + new->value*new->value)*temp.d3_pq2 +2*( new->value*(
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temp.d2_q2*new->d1_p + temp.d2_pq*new->d1_q + new->d2_pq*
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temp.d1_q) + temp.d1_q*new->d1_q*new->d1_p);
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new->d3_pr2 = (1 + new->value*new->value)*temp.d3_pr2 +2*( new->value*(
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temp.d2_r2*new->d1_p + temp.d2_pr*new->d1_r + new->d2_pr*
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temp.d1_r) + temp.d1_r*new->d1_r*new->d1_p);
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new->d3_qr2 = (1 + new->value*new->value)*temp.d3_qr2 +2*( new->value*(
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temp.d2_r2*new->d1_q + temp.d2_qr*new->d1_r + new->d2_qr*
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temp.d1_r) + temp.d1_r*new->d1_r*new->d1_q);
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new->d3_pqr = (1 + new->value*new->value)*temp.d3_pqr +2*( new->value*(
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temp.d2_pq*new->d1_r + temp.d2_pr*new->d1_q + new->d2_qr*
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temp.d1_p) + temp.d1_p*new->d1_q*new->d1_r);
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}
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