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autlib5.c
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autlib5.c
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/* autlib5.f -- translated by f2c (version 19970805).
You must link the resulting object file with the libraries:
-lf2c -lm (in that order)
*/
#include "auto_f2c.h"
#include "auto_c.h"
#include "xAuto.h"
extern XAUTO xAuto;
/* The memory for these are taken care of in main, and setubv for the
mpi parallel case. These are global since the they are used many times
in the wrapper functions in autlib3.c (and autlib5.c) and the cost
of allocating and deallocating them is prohibitive. */
extern struct {
doublereal *dfu, *dfp, *uu1, *uu2, *ff1, *ff2;
} global_scratch;
/* All of these global structures correspond to common
blocks in the original code. They are ONLY used within
the Homcont code.
*/
struct {
integer itwist, istart, iequib, nfixed, npsi, nunstab, nstab, nrev;
} blhom_1;
struct {
integer *ipsi, *ifixed, *irev;
} blhmp_1 = {NULL,NULL,NULL};
struct {
doublereal *pu0, *pu1;
} blhmu_1 = {NULL,NULL};
struct {
integer nbcn;
} bcnn_1;
struct {
doublereal compzero;
} blhma_1;
struct {
doublereal *rr, *ri, *v, *vt, *xequib;
integer ineig;
} bleig_1 = {NULL,NULL,NULL,NULL,NULL,0};
struct {
doublereal *vrprev;
integer *ieigc;
} blhme_1 = {NULL,NULL};
struct {
doublereal *cprev;
integer *iflag;
} beyn_1 = {NULL,NULL};
/* ----------------------------------------------------------------------- */
/* ----------------------------------------------------------------------- */
/* Subroutines for Homoclinic Bifurcation Analysis */
/* (A. R. Champneys, Yu. A. Kuznetsov, B. Sandstede) */
/* ----------------------------------------------------------------------- */
/* ----------------------------------------------------------------------- */
/* ---------- ---- */
/* Subroutine */ int
fnho(const iap_type *iap, const rap_type *rap, integer ndim, const doublereal *u, const doublereal *uold, const integer *icp, doublereal *par, integer ijac, doublereal *f, doublereal *dfdu, doublereal *dfdp)
{
/* System generated locals */
integer dfdu_dim1, dfdp_dim1;
/* Local variables */
integer nfpr;
doublereal rtmp;
integer i, j;
doublereal ep;
integer ndm;
doublereal umx;
/* Generates the equations for homoclinic bifurcation analysis */
/* Local */
/* Parameter adjustments */
/*--u;*/
/*--icp;*/
/*--par;*/
/*--f;*/
dfdp_dim1 = ndim;
dfdu_dim1 = ndim;
ndm = iap->ndm;
nfpr = iap->nfpr;
/* Generate the function. */
ffho(iap, rap, ndim, u, uold, icp, par, f, ndm,
global_scratch.dfu, global_scratch.dfp);
if (ijac == 0) {
return 0;
}
/* Generate the Jacobian. */
umx = 0.;
for (i = 0; i < ndim; ++i) {
if (fabs(u[i]) > umx) {
umx = fabs(u[i]);
}
}
rtmp = HMACH;
ep = rtmp * (umx + 1);
for (i = 0; i < ndim; ++i) {
for (j = 0; j < ndim; ++j) {
global_scratch.uu1[j] = u[j];
global_scratch.uu2[j] = u[j];
}
global_scratch.uu1[i] -= ep;
global_scratch.uu2[i] += ep;
ffho(iap, rap, ndim, global_scratch.uu1, uold, icp, par,
global_scratch.ff1, ndm, global_scratch.dfu, global_scratch.dfp);
ffho(iap, rap, ndim, global_scratch.uu2, uold, icp, par,
global_scratch.ff2, ndm, global_scratch.dfu, global_scratch.dfp);
for (j = 0; j < ndim; ++j) {
ARRAY2D(dfdu, j, i) = (global_scratch.ff2[j] - global_scratch.ff1[j]) / (ep * 2);
}
}
for (i = 0; i < nfpr; ++i) {
par[icp[i]] += ep;
ffho(iap, rap, ndim, u, uold, icp, par, global_scratch.ff1,
ndm, global_scratch.dfu, global_scratch.dfp);
for (j = 0; j < ndim; ++j) {
ARRAY2D(dfdp, j, icp[i]) = (global_scratch.ff1[j] - f[j]) / ep;
}
par[icp[i]] -= ep;
}
return 0;
} /* fnho_ */
/* ---------- ---- */
/* Subroutine */ int
ffho(const iap_type *iap, const rap_type *rap, integer ndim, const doublereal *u, const doublereal *uold, const integer *icp, doublereal *par, doublereal *f, integer ndm, doublereal *dfdu, doublereal *dfdp)
{
/* System generated locals */
integer dfdu_dim1, dfdp_dim1;
/* Local variables */
integer i, j;
doublereal dum1;
/* Parameter adjustments */
/*--u;*/
/*--uold;*/
/*--icp;*/
/*--par;*/
/*--f;*/
dfdp_dim1 = ndm;
dfdu_dim1 = ndm;
ndm = iap->ndm;
if (blhom_1.itwist == 0) {
/* *Evaluate the R.-H. sides */
funi(iap, rap, ndm, u, uold, icp, par, 0,
f, dfdu, dfdp);
} else {
/* *Adjoint variational equations for normal vector */
funi(iap, rap, ndm, u, uold, icp, par, 1,
f, dfdu, dfdp);
/* *Set F = - (Df)^T u */
for (j = 0; j < ndm; ++j) {
dum1 = 0.;
for (i = 0; i < ndm; ++i) {
dum1 += ARRAY2D(dfdu, i, j) * u[ndm + i];
}
f[ndm + j] = -dum1;
}
/* *Set F = F + PAR(10) * f */
for (j = 0; j < ndm; ++j) {
f[ndm + j] += par[9] * f[j];
}
}
/* Scale by truncation interval T=PAR(11) */
for (i = 0; i < ndim; ++i) {
f[i] = par[10] * f[i];
}
return 0;
} /* ffho_ */
/* ---------- ---- */
/* Subroutine */ int
bcho(const iap_type *iap, const rap_type *rap, integer ndim, doublereal *par, const integer *icp, integer nbc, const doublereal *u0, const doublereal *u1, doublereal *f, integer ijac, doublereal *dbc)
{
/* System generated locals */
integer dbc_dim1;
/* Local variables */
integer nfpr;
doublereal rtmp;
integer i, j;
doublereal ep, *ff1, *ff2, *uu1, *uu2, *dfu, umx;
integer nbc0;
ff1=(doublereal *)malloc(sizeof(doublereal)*(iap->nbc));
ff2=(doublereal *)malloc(sizeof(doublereal)*(iap->nbc));
uu1=(doublereal *)malloc(sizeof(doublereal)*(iap->ndim));
uu2=(doublereal *)malloc(sizeof(doublereal)*(iap->ndim));
dfu=(doublereal *)malloc(sizeof(doublereal)*(iap->nbc)*(2*iap->ndim+NPARX));
/* Generates the boundary conditions for homoclinic bifurcation analysis
*/
/* Local */
/* Parameter adjustments */
/*--par;*/
/*--icp;*/
/*--f;*/
/*--u0;*/
/*--u1;*/
dbc_dim1 = nbc;
nbc0 = iap->nbc0;
nfpr = iap->nfpr;
/* Generate the function. */
fbho(iap, rap, ndim, par, icp, nbc, nbc0, &u0[0], &u1[0], &
f[0], dfu);
if (ijac == 0) {
free(ff1);
free(ff2);
free(uu1);
free(uu2);
free(dfu);
return 0;
}
/* Derivatives with respect to U0. */
umx = 0.;
for (i = 0; i < ndim; ++i) {
if (fabs(u0[i]) > umx) {
umx = fabs(u0[i]);
}
}
rtmp = HMACH;
ep = rtmp * (umx + 1);
for (i = 0; i < ndim; ++i) {
for (j = 0; j < ndim; ++j) {
uu1[j] = u0[j];
uu2[j] = u0[j];
}
uu1[i] -= ep;
uu2[i] += ep;
fbho(iap, rap, ndim, par, icp, nbc, nbc0, uu1, u1,
ff1, dfu);
fbho(iap, rap, ndim, par, icp, nbc, nbc0, uu2, u1,
ff2, dfu);
for (j = 0; j < nbc; ++j) {
ARRAY2D(dbc, j, i) = (ff2[j] - ff1[j]) / (ep * 2);
}
}
/* Derivatives with respect to U1. */
umx = 0.;
for (i = 0; i < ndim; ++i) {
if (fabs(u1[i]) > umx) {
umx = fabs(u1[i]);
}
}
rtmp = HMACH;
ep = rtmp * (umx + 1);
for (i = 0; i < ndim; ++i) {
for (j = 0; j < ndim; ++j) {
uu1[j] = u1[j];
uu2[j] = u1[j];
}
uu1[i] -= ep;
uu2[i] += ep;
fbho(iap, rap, ndim, par, icp, nbc, nbc0, u0, uu1,
ff1, dfu);
fbho(iap, rap, ndim, par, icp, nbc, nbc0, u0, uu2,
ff2, dfu);
for (j = 0; j < nbc; ++j) {
ARRAY2D(dbc, j, (ndim + i)) = (ff2[j] - ff1[j]) / (ep * 2);
}
}
for (i = 0; i < nfpr; ++i) {
par[icp[i]] += ep;
fbho(iap, rap, ndim, par, icp, nbc, nbc0, u0, u1
, ff2, dfu);
for (j = 0; j < nbc; ++j) {
ARRAY2D(dbc, j, (ndim * 2) + icp[i]) = (ff2[j] - f[j]) / ep;
}
par[icp[i]] -= ep;
}
free(ff1);
free(ff2);
free(uu1);
free(uu2);
free(dfu);
return 0;
} /* bcho_ */
/* ---------- ---- */
/* Subroutine */ int
fbho(const iap_type *iap, const rap_type *rap, integer ndim, doublereal *par, const integer *icp, integer nbc, integer nbc0, const doublereal *u0, const doublereal *u1, doublereal *fb, doublereal *dbc)
{
/* System generated locals */
integer dbc_dim1;
/* Local variables */
integer ieig;
integer i, j, k;
integer ineig;
integer jb;
integer ip;
integer kp;
integer ijc = 0, ndm;
doublereal dum, dum1, dum2;
doublereal *f;
doublereal *bound;
doublereal *fj;
doublereal *ri;
doublereal *rr, *vr, *vt;
doublereal *xequib1, *xequib2;
/* I am not 100% sure if this is supposed to be iap->ndm or iap->ndim,
but it appears from looking at the code that it should be iap->ndm.
Also, note that I have replaced the occurances of N X in the algorithms
with (iap->ndm), so if you change it to iap->ndim here you will
need to make the similiar changes in the algorithms.
Finally, the routines called from here prjcti and eighi
also depend on these arrays, and more importantly the algorithm,
having N X. So, they all need to be changed at once.
*/
f = (doublereal *)malloc(sizeof(doublereal)*(iap->ndm));
bound = (doublereal *)malloc(sizeof(doublereal)*(iap->ndm)*(iap->ndm));
fj = (doublereal *)malloc(sizeof(doublereal)*(iap->ndm));
ri = (doublereal *)malloc(sizeof(doublereal)*(iap->ndm));
rr = (doublereal *)malloc(sizeof(doublereal)*(iap->ndm));
vr = (doublereal *)malloc(sizeof(doublereal)*(iap->ndm)*(iap->ndm));
vt = (doublereal *)malloc(sizeof(doublereal)*(iap->ndm)*(iap->ndm));
xequib1 = (doublereal *)malloc(sizeof(doublereal)*(iap->ndm));
xequib2 = (doublereal *)malloc(sizeof(doublereal)*(iap->ndm));
/* Generates the boundary conditions for homoclinic orbits. */
/* Local */
/* Parameter adjustments */
/*--par;*/
/*--icp;*/
/*--u0;*/
/*--u1;*/
/*--fb;*/
dbc_dim1 = nbc;
ndm = iap->ndm;
/* *Initialization */
for (i = 1; i <= nbc; ++i) {
fb[-1 + i] = 0.;
}
jb = 1;
/* *Update pu0,pu1 */
for (i = 0; i < ndim; ++i) {
blhmu_1.pu0[i] = u0[i];
blhmu_1.pu1[i] = u1[i];
}
if (blhom_1.iequib == 0 || blhom_1.iequib == -1) {
pvls(ndm, u0, par);
}
/* write(9,*) 'Xequib:' */
for (i = 0; i < ndm; ++i) {
xequib1[i] = par[i + 11];
/* write(9,*) I,XEQUIB1(I) */
}
if (blhom_1.iequib >= 0) {
for (i = 0; i < ndm; ++i) {
xequib2[i] = par[i + 11];
}
} else {
for (i = 0; i < ndm; ++i) {
xequib2[i] = par[ndm + 11 + i];
}
}
/* **Regular Continuation** */
if (blhom_1.istart != 3) {
/* *Projection boundary conditions for the homoclinic orbit */
/* *NSTAB boundary conditions at t=0 */
prjcti(bound, xequib1, icp, par, -1, 1, 1, &ndm);
for (i = 0; i < blhom_1.nstab; ++i) {
for (k = 0; k < ndm; ++k) {
fb[-1 + jb] += (u0[k] - xequib1[k]) * bound[i + k * (iap->ndm)];
}
/* write(9,*) 'fb',jb,fb(jb) */
++jb;
}
/* *NUNSTAB boundary conditions at t=1 */
if (blhom_1.nrev == 0) {
prjcti(bound, xequib2, icp, par, 1, 2, 1, &
ndm);
for (i = ndm - blhom_1.nunstab; i < ndm; ++i) {
for (k = 0; k < ndm; ++k) {
fb[-1 + jb] += (u1[k] - xequib2[k]) * bound[i + k * (iap->ndm)];
}
++jb;
}
} else {
/* *NUNSTAB symmetric boundary conditions at t=1 if NREV=1
*/
for (i = 0; i < ndim; ++i) {
if (blhmp_1.irev[i] > 0) {
if (blhmp_1.irev[i] == 1) {
/* *****NOTE MODIFICATION FROM GENERAL CASE */
fb[-1 + jb] = sin(u1[i]);
/* FB(JB)=U1(I) */
} else {
fb[-1 + jb] = u1[i];
}
++jb;
}
}
}
ieig = 0;
ineig = 0;
/* *NFIXED extra boundary conditions for the fixed conditions
*/
if (blhom_1.nfixed > 0) {
if (ieig == 0) {
eighi(1, 2, rr, ri, vr, xequib1, icp, par, &
ndm);
ieig = 1;
}
for (i = 0; i < blhom_1.nfixed; ++i) {
if (blhmp_1.ifixed[i] > 10 && ineig == 0) {
eighi(1, 1, rr, ri, vt, xequib1, icp, par, &ndm);
ineig = 1;
}
fb[-1 + jb] = psiho(iap, blhmp_1.ifixed[i], rr, ri, vr,vt, icp, par);
++jb;
}
}
/* *NDM initial conditions for the equilibrium if IEQUIB=1,2,-2
*/
if (blhom_1.iequib != 0 && blhom_1.iequib != -1) {
func(ndm, xequib1, icp, par, 0, f, &dum1, &dum2);
for (i = 0; i < ndm; ++i) {
fb[-1 + jb] = f[i];
++jb;
}
/* *NDM extra initial conditions for the equilibrium if IEQ
UIB=-2 */
if (blhom_1.iequib == -2) {
func(ndm, xequib2, icp, par, 0, f, &dum1, &dum2);
for (i = 0; i < ndm; ++i) {
fb[-1 + jb] = f[i];
++jb;
}
}
}
/* *extra boundary condition in the case of a saddle-node homocl
inic*/
if (blhom_1.iequib == 2) {
if (ineig == 0) {
eighi(1, 1, rr, ri, vt, xequib1, icp, par, &ndm);
ineig = 1;
}
fb[-1 + jb] = rr[blhom_1.nstab];
++jb;
}
/* *boundary conditions for normal vector */
if (blhom_1.itwist == 1) {
/* *-orthogonal to the unstable directions of A at t=0
*/
prjcti(bound, xequib1, icp, par, 1, 1, 2, &ndm);
for (i = ndm - blhom_1.nunstab; i < ndm; ++i) {
dum = 0.;
for (k = 0; k < ndm; ++k) {
dum += u0[ndm + k] * bound[i + k * (iap->ndm)];
}
fb[-1 + jb] = dum;
++jb;
}
/* *-orthogonal to the stable directions of A at t=1 */
prjcti(bound, xequib2, icp, par, -1, 2, 2, &ndm);
for (i = 0; i < blhom_1.nstab; ++i) {
dum = 0.;
for (k = 0; k < ndm; ++k) {
dum += u1[ndm + k] * bound[i + k * (iap->ndm)];
}
fb[-1 + jb] = dum;
++jb;
}
free(f );
free(bound);
free(fj );
free(ri );
free(rr );
free(vr );
free(vt );
free(xequib1);
free(xequib2);
return 0;
}
} else {
/* **Starting Solutions using Homotopy** */
jb = 0;
for (i = 1; i <= nbc; ++i) {
fb[-1 + i] = 0.;
}
ineig = 0;
ip = 12;
if (blhom_1.iequib >= 0) {
ip += ndm;
} else {
ip += ndm << 1;
}
kp = ip;
/* *Explicit boundary conditions for homoclinic orbit at t=0 */
eighi(1, 2, rr, ri, vr, xequib1, icp, par, &ndm);
ieig = 1;
if (blhom_1.nunstab > 1) {
dum = 0.;
kp = ip + blhom_1.nunstab;
jb = ndm + 1;
for (j = 0; j < blhom_1.nunstab; ++j) {
for (i = 0; i < ndm; ++i) {
fb[i] = u0[i] - xequib1[i] - par[ip + j] * vr[blhom_1.nstab + j + i * (iap->ndm)];
}
/* Computing 2nd power */
dum += par[ip + j] * par[ip + j];
}
jb = ndm + 1;
fb[-1 + jb] = dum - par[-1 + ip];
++jb;
} else {
kp = ip + 1;
jb = ndm;
for (i = 0; i < ndm; ++i) {
fb[i] = u0[i] - xequib1[i] - par[-1 + ip] * par[ip] *
vr[blhom_1.nstab + i * (iap->ndm)];
}
jb = ndm + 1;
}
/* *Projection boundary conditions for the homoclinic orbit at
t=1 */
if (ineig == 0) {
eighi(1, 1, rr, ri, vt, xequib2, icp, par, &ndm);
ineig = 1;
}
for (i = 0; i < blhom_1.nunstab; ++i) {
k = i + blhom_1.nstab;
dum = 0.;
for (j = 0; j < ndm; ++j) {
dum += (u1[j] - xequib2[j]) * vt[k + j * (iap->ndm)];
}
++kp;
fb[-1 + jb] = dum - par[-1 + kp];
++jb;
}
/* *NDM initial conditions for the equilibrium if IEQUIB=1,2,-2
*/
if (blhom_1.iequib != 0 && blhom_1.iequib != -1) {
func(ndm, xequib1, icp, par, 0, f, &dum1, &dum2);
for (i = 0; i < ndm; ++i) {
fb[-1 + jb] = f[i];
++jb;
}
/* *NDM extra initial conditions for the equilibrium if IEQ
UIB=-2 */
if (blhom_1.iequib == -2) {
func(ndm, xequib2, icp, par, 0, f, &dum1, &dum2)
;
for (i = 0; i < ndm; ++i) {
fb[-1 + jb] = f[i];
++jb;
}
}
}
}
/* write(9,*) NBCN,NBC */
/* *user defined extra boundary conditions */
if (bcnn_1.nbcn > 0) {
bcnd(ndim, par, icp, bcnn_1.nbcn, u0, u1, ijc, fj, dbc);
for (k = 0; k < bcnn_1.nbcn; ++k) {
fb[-1 + jb] = fj[k];
/* write(9,*),fb(jb),par(30) */
++jb;
}
}
free(f );
free(bound);
free(fj );
free(ri );
free(rr );
free(vr );
free(vt );
free(xequib1);
free(xequib2);
return 0;
} /* fbho_ */
/* ---------- ---- */
/* Subroutine */ int
icho(const iap_type *iap, const rap_type *rap, integer ndim, doublereal *par, const integer *icp, integer nint, const doublereal *u, const doublereal *uold, const doublereal *udot, const doublereal *upold, doublereal *f, integer ijac, doublereal *dint)
{
/* System generated locals */
integer dint_dim1;
/* Local variables */
integer nfpr;
doublereal rtmp;
integer i, j;
doublereal ep, *ff1, *ff2, *uu1, *uu2, *dfu, umx;
integer nnt0;
ff1 = (doublereal *)malloc(sizeof(doublereal)*(iap->nint));
ff2 = (doublereal *)malloc(sizeof(doublereal)*(iap->nint));
uu1 = (doublereal *)malloc(sizeof(doublereal)*(iap->ndim));
uu2 = (doublereal *)malloc(sizeof(doublereal)*(iap->ndim));
dfu = (doublereal *)malloc(sizeof(doublereal)*(iap->ndim)*(iap->ndim + NPARX));
/* Generates integral conditions for homoclinic bifurcation analysis */
/* Local */
/* Parameter adjustments */
/*--par;*/
/*--icp;*/
/*--u;*/
/*--uold;*/
/*--udot;*/
/*--upold;*/
/*--f;*/
dint_dim1 = nint;
nnt0 = iap->nnt0;
nfpr = iap->nfpr;
/* Generate the function. */
fiho(iap, rap, ndim, par, icp, nint, nnt0, u, uold,
udot, upold, f, dfu);
if (ijac == 0) {
free(ff1);
free(ff2);
free(uu1);
free(uu2);
free(dfu);
return 0;
}
/* Generate the Jacobian. */
umx = 0.;
for (i = 0; i < ndim; ++i) {
if (fabs(u[i]) > umx) {
umx = fabs(u[i]);
}
}
rtmp = HMACH;
ep = rtmp * (umx + 1);
for (i = 0; i < ndim; ++i) {
for (j = 0; j < ndim; ++j) {
uu1[j] = u[j];
uu2[j] = u[j];
}
uu1[i] -= ep;
uu2[i] += ep;
fiho(iap, rap, ndim, par, icp, nint, nnt0, uu1, uold
, udot, upold, ff1, dfu);
fiho(iap, rap, ndim, par, icp, nint, nnt0, uu2, uold
, udot, upold, ff2, dfu);
for (j = 0; j < nint; ++j) {
ARRAY2D(dint, j, i) = (ff2[j] - ff1[j]) / (ep * 2);
}
}
for (i = 0; i < nfpr; ++i) {
par[icp[i]] += ep;
fiho(iap, rap, ndim, par, icp, nint, nnt0, u,
uold, udot, upold, ff1, dfu);
for (j = 0; j < nint; ++j) {
ARRAY2D(dint, j, ndim + icp[i]) = (ff1[j] - f[j]) / ep;
}
par[icp[i]] -= ep;
}
free(ff1);
free(ff2);
free(uu1);
free(uu2);
free(dfu);
return 0;
} /* icho_ */
/* ---------- ---- */
/* Subroutine */ int
fiho(const iap_type *iap, const rap_type *rap, integer ndim, doublereal *par, const integer *icp, integer nint, integer nnt0, const doublereal *u, const doublereal *uold, const doublereal *udot, const doublereal *upold, doublereal *fi, doublereal *dint)
{
/* System generated locals */
integer dint_dim1;
/* Local variables */
integer ijac = 0;
integer i, jb;
doublereal *fj;
integer ndm;
doublereal dum;
fj = (doublereal *)malloc(sizeof(doublereal)*(iap->ndim));
/* Generates the integral conditions for homoclinic orbits. */
/* Parameter adjustments */
/*--par;*/
/*--icp;*/
/*--u;*/
/*--uold;*/
/*--udot;*/
/*--upold;*/
/*--fi;*/
dint_dim1 = nint;
ndm = iap->ndm;
jb = 0;
/* Integral phase condition for homoclinic orbit */
if (blhom_1.nrev == 0) {
dum = 0.;
for (i = 0; i < ndm; ++i) {
dum += upold[i] * (u[i] - uold[i]);
}
++jb;
fi[-1 + jb] = dum;
}
/* Integral phase condition for adjoint equation */
if (blhom_1.itwist == 1) {
dum = 0.;
for (i = 0; i < ndm; ++i) {
dum += uold[ndm + i] * (u[ndm + i] - uold[ndm + i]);
}
++jb;
fi[1] = dum;
}
/* User-defined integral constraints */
if (jb < nint) {
icnd(ndm, par, icp, nint, u, uold, udot,
upold, ijac, fj, dint);
for (i = 0; i < nint - jb; ++i) {
fi[i + jb] = fj[i];
}
}
free(fj);
return 0;
} /* fiho_ */
/* ---------- ---- */
/* Subroutine */ int
inho(iap_type *iap, integer *icp, doublereal *par)
{
/* Local variables */
integer ndim, nint, nuzr, i, nfree, icorr, nbc, ndm, irs, isw;
/* Allocate memory for global structures. */
free(blhmp_1.ipsi);
free(blhmp_1.ifixed);
free(blhmp_1.irev);
free(blhmu_1.pu0);
free(blhmu_1.pu1);
free(bleig_1.rr);
free(bleig_1.ri);
free(bleig_1.v);
free(bleig_1.vt);
free(bleig_1.xequib);
free(blhme_1.vrprev);
free(blhme_1.ieigc);
free(beyn_1.cprev);
free(beyn_1.iflag);
blhmp_1.ipsi = (integer *)malloc(sizeof(integer)*NPARX);
blhmp_1.ifixed = (integer *)malloc(sizeof(integer)*NPARX);
blhmp_1.irev = (integer *)malloc(sizeof(integer)*(iap->ndim));
blhme_1.ieigc = (integer *)malloc(sizeof(integer)*2);
beyn_1.iflag = (integer *)malloc(sizeof(integer)*4);
/* the prjctn_ function uses this array to test if this is
the first time the prjctn_ function has been called.
Accordingly, I initialize it to zero here after I
have created it. */
for(i=0;i<4;i++)
beyn_1.iflag[i]=0;
/* Reads from fort.11 specific constants for homoclinic continuation. */
/* Sets up re-defined constants in IAP. */
/* Sets other constants in the following common blocks. */
/* set various constants */
/* Parameter adjustments */
/*--par;*/
/*--icp;*/
ndim = iap->ndim;
irs = iap->irs;
isw = iap->isw;
nbc = iap->nbc;
nint = iap->nint;
nuzr = iap->nuzr;
ndm = ndim;
blhma_1.compzero = HMACHHO;
blhom_1.nunstab=xAuto.nunstab;
blhom_1.nstab=xAuto.nstab;
blhom_1.iequib=xAuto.iequib;
blhom_1.itwist=0;
blhom_1.istart=2;
blhom_1.nrev=0;
blhom_1.nfixed=0;
blhom_1.npsi=0;
/* printf("%d %d %d %d %d\n",blhom_1.nunstab,blhom_1.nstab,blhom_1.iequib,blhom_1.itwist,blhom_1.istart); */
/* updated reading in of constants for reversible equations */
/* replaces location in datafile of compzero */
ndim = ndm * (blhom_1.itwist + 1);
/* Allocate memory for global structures. We didn't know the
size for these until ndim was computed. */
blhmu_1.pu0 = (doublereal *)malloc(sizeof(doublereal)*(ndim));
blhmu_1.pu1 = (doublereal *)malloc(sizeof(doublereal)*(ndim));
bleig_1.rr = (doublereal *)malloc(sizeof(doublereal)*(ndim));
bleig_1.ri = (doublereal *)malloc(sizeof(doublereal)*(ndim));
bleig_1.v = (doublereal *)malloc(sizeof(doublereal)*(ndim)*(ndim));
bleig_1.vt = (doublereal *)malloc(sizeof(doublereal)*(ndim)*(ndim));
bleig_1.xequib = (doublereal *)malloc(sizeof(doublereal)*(ndim));
blhme_1.vrprev = (doublereal *)malloc(sizeof(doublereal)*2*(ndim)*(ndim));
beyn_1.cprev = (doublereal *)malloc(sizeof(doublereal)*2*2*(ndim)*(ndim));
nfree = blhom_1.nfixed + 2 - blhom_1.nrev + nint + nbc;
bcnn_1.nbcn = nbc;
/* Free parameter (artificial parameter for psi) */
/* nondegeneracy parameter of the adjoint */
if (blhom_1.itwist == 1) {
++nfree;
icp[-1 + nfree] = 9;
par[9] = 0.;
}
/* Extra free parameters for equilibrium if iequib=1,2,-2 */
if (blhom_1.iequib != 0 && blhom_1.iequib != -1) {
for (i = 0; i < ndm; ++i) {
icp[nfree + i] = i + 11;
}
}
if (blhom_1.iequib == -2) {
for (i = 0; i < ndm; ++i) {
icp[nfree + ndm + i] = ndm + 11 + i;
}
}
if (blhom_1.istart != 3) {
/* *regular continuation */
nint = nint + blhom_1.itwist + 1 - blhom_1.nrev;
if (isw == 2) {
icorr = 2;
} else {
icorr = 1;
}
nbc = blhom_1.nstab + blhom_1.nunstab + (blhom_1.itwist + blhom_1.iequib) * ndm + nfree - nint - icorr;
if (blhom_1.iequib == 2) {
nbc = nbc - ndm + 1;
}
if (blhom_1.iequib < 0) {
nbc -= (blhom_1.iequib * 3 + 2) * ndm;
}
} else {
/* *starting solutions using homotopy */
if (blhom_1.nunstab == 1) {
nbc = ndm * (blhom_1.iequib + 1) + 1;
} else {
nbc = ndm * (blhom_1.iequib + 1) + blhom_1.nunstab + 1;
}
if (blhom_1.iequib == 2) {
fprintf(fp9,"WARNING: IEQUIB=2 NOT ALLOWED WITH ISTART=3\n");
}
if (blhom_1.iequib < 0) {
nbc -= ndm * (blhom_1.iequib * 3 + 2);
}
nint = 0;
}
/* write new constants into IAP */
iap->ndim = ndim;
iap->nbc = nbc;
iap->nint = nint;
iap->nuzr = nuzr;
iap->ndm = ndm;
return 0;
} /* inho_ */
/* ---------- ----- */