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/*
* MLMESH.C - 2D logical-rectangular mesh generation routines
*
* Source Version: 2.0
* Software Release #92-0043
*
*/
#include "cpyright.h"
#include "pml.h"
#define FIND_ELEMENT(off, i0) \
i = PM_element(n_map, j, 1) + off; \
for (m = 1; m <= n; m++) \
{if (PM_element(n_map, m, 1) == i) \
PM_element(n_map, j, i0) = m;}
#define LOAD_LAPLACIAN(ar, dt, off, n, a) \
j0 = j + off; \
if (nodet[j0] == 0.0) \
{m = PM_element(n_map, i, n); \
if (m >= 0) \
{PM_element(lapl, i, m) = a;};} \
else \
{for (k = 0; k < na; k++) \
{PM_element(ar[k], i, 1) -= a*dt[k][j0];};} \
#define vecset4(v,v1,v2,v3,v4) \
v2 = v; \
v3 = v2 - 1; \
v4 = v3 - kbnd; \
v1 = v4 + 1
#define NODE_OF(k, l) (((l) - 1)*kbnd + (k) - 1)
/*--------------------------------------------------------------------------*/
/* SERVICE ROUTINES */
/*--------------------------------------------------------------------------*/
/* _PM_FILL_MAP - fill out the map array with nearest neighbor information */
static void _PM_fill_map(n_map, kmax, lmax, nodet)
PM_matrix *n_map;
int kmax, lmax;
REAL *nodet;
{int m, j, i, k, l, n;
int kbnd, lbnd;
kbnd = kmax + 1;
lbnd = lmax + 1;
/* put the nodes into the n_map array */
n = 0;
for (k = 1; k <= kmax; k++)
for (l = 1; l <= lmax; l++)
{i = NODE_OF(k, l);
if (nodet[i] == -1.0)
{PM_element(n_map, ++n, 1) = i;
nodet[i] = 0.0;};};
/* put the neighbors into the n_map array */
for (j = 1; j <= n; j++)
{FIND_ELEMENT(1, 2);
FIND_ELEMENT(kbnd, 3);
FIND_ELEMENT(-1, 4);
FIND_ELEMENT(-kbnd, 5);
FIND_ELEMENT(kbnd+1, 6);
FIND_ELEMENT(kbnd-1, 7);
FIND_ELEMENT(-kbnd-1, 8);
FIND_ELEMENT(-kbnd+1, 9);};
return;}
/*--------------------------------------------------------------------------*/
/*--------------------------------------------------------------------------*/
/* _PM_FIN_SOL - map the solutions in tx and ty back into the mesh */
static void _PM_fin_sol(n_map, m, reg_map, nodet)
PM_matrix *n_map;
int m, *reg_map;
REAL *nodet;
{int i, j, n;
n = n_map->nrow;
for (j = 1; j <= n; j++)
{i = PM_element(n_map, j, 1);
reg_map[i] = m;
nodet[i] = 1.0;};
return;}
/*--------------------------------------------------------------------------*/
#if 0
/*--------------------------------------------------------------------------*/
/* _PM_MESH_CONVERGED - return TRUE iff the coordinates have converged */
static int _PM_mesh_converged(xn, yn, xo, yo, n_map, n)
PM_matrix *xn, *yn, *xo, *yo;
int n;
{int i;
REAL *pxo, *pyo, *pxn, *pyn;
double s, dx, dy, rx1, ry1, rx2, ry2, ax, ay;
pxo = xo->array;
pyo = yo->array;
pxn = xn->array;
pyn = yn->array;
s = 0.0;
for (i = 0; i < n; i++)
{rx1 = *pxo++;
rx2 = *pxn++;
ry1 = *pyo++;
ry2 = *pyn++;
dx = rx2 - rx1;
dy = ry2 - ry1;
ax = 0.5*(rx2 + rx1);
ay = 0.5*(ry2 + ry1);
s += (dx*dx + dy*dy)/(ax*ax + ay*ay + SMALL);};
s = sqrt(s/((REAL) n));
return((s < 0.0001) ? TRUE : FALSE);}
/*--------------------------------------------------------------------------*/
/*--------------------------------------------------------------------------*/
/* _PM_CARTESIAN_REGION - return TRUE iff the region described by the part
* - has straight line side all the way around
*/
static int _PM_cartesian_region(ipart)
PM_part *ipart;
{int ret;
PM_conic_curve *crv;
PM_side *ib;
ret = TRUE;
for (ib = ipart->leg; TRUE; )
{crv = ib->crve;
ret &= ((crv->xx == 0.0) && (crv->yy == 0.0) && (crv->xy == 0.0));
if ((ib = ib->next) == ipart->leg)
break;};
return(ret);}
/*--------------------------------------------------------------------------*/
/*--------------------------------------------------------------------------*/
/* _PM_CURVATURE - compute the curvature at J of the coordinate contour
* - implied by the stride, S
*/
static double _PM_curvature(j, s)
int j, s;
{double dx1, dy1, dx2, dy2, dx3, dy3, dxf, dyf;
double d0, t0, r0;
dx1 = rx[j] - rx[j-s];
dy1 = ry[j] - ry[j-s];
dx2 = rx[j+s] - rx[j];
dy2 = ry[j+s] - ry[j];
dx3 = 0.5*(rx[j+s] - rx[j-s]);
dy3 = 0.5*(ry[j+s] - ry[j-s]);
d0 = dx1*dy2 - dy1*dx2;
if (d0 == 0.0)
r0 = SMALL;
else
{t0 = (dx3*dx2 + dy3*dy2)/d0;
dxf = 0.5*dx1 + t0*dy1;
dyf = 0.5*dy1 - t0*dx1;
r0 = 1.0/(sqrt(dxf*dxf + dyf*dyf) + SMALL);};
r0 = min(r0, param[9]);
r0 = max(r0, param[8]);
return(r0);}
/*--------------------------------------------------------------------------*/
/*--------------------------------------------------------------------------*/
/* _PM_COPY_SOL - copy the coordinate solutions */
static void _PM_copy_sol(xo, xn, yo, yn, n_map)
PM_matrix *xo, *xn, *yo, *yn, *n_map;
{int i, j, n;
REAL *pxo, *pyo, *pxn, *pyn;
n = xo->nrow;
pxo = xo->array;
pyo = yo->array;
pxn = xn->array;
pyn = yn->array;
for (i = 0; i < n; i++)
{*pxo++ = *pxn++;
*pyo++ = *pyn++;};
for (j = 1; j <= n; j++)
{i = PM_element(n_map, j, 1);
rx[i] = PM_element(xn, j, 1);
ry[i] = PM_element(yn, j, 1);};
return;}
/*--------------------------------------------------------------------------*/
#endif
/* LAPLACE SOLVER */
/*--------------------------------------------------------------------------*/
/* _PM_FILL_LAPL_OP - set up the laplacian operator and the boundary arrays
* - for the 2D laplacian solver
* - this operator uses only the tangential
* - spacing ratios
* - if KRA or LRA are NULL or CRF is TRUE, use constant
* - ratios KRC and LRC
*/
static void _PM_fill_lapl_op(lapl, kmax, lmax,
na, ar, dt, kra, lra, nodet,
n_map, ts, krc, lrc, crf)
PM_matrix *lapl;
int kmax, lmax, na;
PM_matrix **ar;
REAL **dt, *kra, *lra, *nodet;
PM_matrix *n_map;
double ts, krc, lrc;
int crf;
{int n, m, j, j0, i, k;
int kbnd, lbnd;
double s1, s2, s3, s4, sr, sl, sb, st;
double pnt, cnt;
kbnd = kmax + 1;
lbnd = lmax + 1;
n = n_map->nrow;
PM_set_value(lapl->array, n*n, 0.0);
pnt = min(ts, 1.0);
pnt = max(pnt, 0.0);
cnt = 2.0 - pnt;
for (i = 1; i <= n; i++)
{j = PM_element(n_map, i, 1);
if (crf || (kra == NULL) || (lra == NULL))
{sr = 1.0/(1.0 + krc);
sl = krc*sr;
st = 1.0/(1.0 + lrc);
sb = lrc*st;}
else
{sr = 1.0/(1.0 + kra[j]);
sl = kra[j]*sr;
st = 1.0/(1.0 + lra[j]);
sb = lra[j]*st;};
s1 = -pnt*sr*sb;
s2 = -pnt*sr*st;
s3 = -pnt*sl*st;
s4 = -pnt*sl*sb;
PM_element(lapl, i, i) = -cnt;
for (k = 0; k < na; k++)
{PM_element(ar[k], i, 1) = 0;};
LOAD_LAPLACIAN(ar, dt, 1, 2, sr);
LOAD_LAPLACIAN(ar, dt, kbnd, 3, st);
LOAD_LAPLACIAN(ar, dt, -1, 4, sl);
LOAD_LAPLACIAN(ar, dt, -kbnd, 5, sb);
LOAD_LAPLACIAN(ar, dt, kbnd+1, 6, s2);
LOAD_LAPLACIAN(ar, dt, kbnd-1, 7, s3);
LOAD_LAPLACIAN(ar, dt, -kbnd-1, 8, s4);
LOAD_LAPLACIAN(ar, dt, -kbnd+1, 9, s1);};
return;}
/*--------------------------------------------------------------------------*/
/*--------------------------------------------------------------------------*/
/* _PM_LAPLACE_SOL - compute the coordinates using the correct laplacian
* - this operator uses only the tangential
* - spacing ratios
*/
static void _PM_laplace_sol(lapl, kmax, lmax,
na, ar, dt, kra, lra, nodet, n_map, ips,
ts, krc, lrc, crf)
PM_matrix *lapl;
int kmax, lmax, na;
PM_matrix **ar;
REAL **dt, *kra, *lra, *nodet;
PM_matrix *n_map;
int *ips;
double ts, krc, lrc;
int crf;
{int n, j, i, k;
/* fill in the laplacian, bx, by and n_map arrays */
_PM_fill_lapl_op(lapl, kmax, lmax,
na, ar, dt, kra, lra, nodet, n_map,
ts, krc, lrc, crf);
/* do the lu decomposition */
PM_decompose(lapl, ips, FALSE);
/* do the sol part */
for (k = 0; k < na; k++)
{PM_sol(lapl, ar[k], ips, FALSE);};
n = n_map->nrow;
for (j = 1; j <= n; j++)
{i = PM_element(n_map, j, 1);
for (k = 0; k < na; k++)
dt[k][i] = PM_element(ar[k], j, 1);};
return;}
/*--------------------------------------------------------------------------*/
/* LAPLACE SOLVER A */
/*--------------------------------------------------------------------------*/
/* _PM_COMPUTE_A_BND - compute the a quantities on the given side */
static void _PM_compute_a_bnd(as, xs, ae, xe, v,
kmax, lmax, kmn, kmx, lmn, lmx)
double as, xs, ae, xe;
REAL *v;
int kmax, lmax, kmn, kmx, lmn, lmx;
{int i, j, n, nt, sdk, sdl;
int kbnd, lbnd;
double ps, pe, dk, dl;
kbnd = kmax + 1;
lbnd = lmax + 1;
if (as < 0.0)
{ps = -1.0;
as *= -1.0;}
else
ps = 1.0;
if (ae < 0.0)
{pe = -1.0;
ae *= -1.0;}
else
pe = 1.0;
dk = kmx - kmn;
dl = lmx - lmn;
n = sqrt(dk*dk + dl*dl);
nt = n/2;
sdk = (dk > 0);
sdl = (dl > 0);
if (as != 0.0)
{for (j = 0; j < nt; j++)
{i = NODE_OF(kmn + sdk*(j + 1), lmn + sdl*(j + 1));
v[i] = pow((1.0 + as*exp(-j*xs)), ps);};};
if (ae != 0.0)
{for (j = 0; j < nt; j++)
{i = NODE_OF(kmx - sdk*j, lmx - sdl*j);
v[i] = pow((1.0 + ae*exp(-j*xe)), pe);};};
if (2*nt != n)
{i = NODE_OF(kmn + sdk*(nt + 1), lmn + sdl*(nt + 1));
v[i] = 1.0;};
return;}
/*--------------------------------------------------------------------------*/
/*--------------------------------------------------------------------------*/
/* _PM_COMPUTE_A - compute the a quantities */
static void _PM_compute_a(apk, apl, kra, lra, kmax, lmax,
kmn, kmx, lmn, lmx,
ask, xsk, aek, xek, asl, xsl, ael, xel,
constr)
REAL *apk, *apl, *kra, *lra;
int kmax, lmax, kmn, kmx, lmn, lmx;
double ask, xsk, aek, xek;
double asl, xsl, ael, xel;
int constr;
{int j, j0, k, l;
int kbnd, lbnd, nz;
double u, dk, dl, dkl;
REAL *x1, *x2, *x3, *x4, *s, *t;
kbnd = kmax + 1;
lbnd = lmax + 1;
nz = kbnd*lbnd;
/* extrapolate lra to the undetermined boundary */
if (lmx - lmn < 3)
{for (k = kmn; k <= kmx; k++)
{j = NODE_OF(k, lmx);
lra[j] = lra[j-kbnd];
j = NODE_OF(k, lmn);
lra[j] = lra[j+kbnd];};}
else
{for (k = kmn; k <= kmx; k++)
{j = NODE_OF(k, lmx);
lra[j] = 2.0*lra[j-kbnd] - lra[j-2*kbnd];
j = NODE_OF(k, lmn);
lra[j] = 2.0*lra[j+kbnd] - lra[j+2*kbnd];};};
/* extrapolate kra to the undetermined boundary */
if (kmx - kmn < 3)
{for (l = lmn; l <= lmx; l++)
{j = NODE_OF(kmx, l);
kra[j] = kra[j-1];
j = NODE_OF(kmn, l);
kra[j] = kra[j+1];};}
else
{for (l = lmn; l <= lmx; l++)
{j = NODE_OF(kmx, l);
kra[j] = 2.0*kra[j-1] - kra[j-2];
j = NODE_OF(kmn, l);
kra[j] = 2.0*kra[j+1] - kra[j+2];};};
_PM_compute_a_bnd(ask, xsk, aek, xek, apk,
kmax, lmax, kmn, kmx, lmx, lmx);
_PM_compute_a_bnd(asl, xsl, ael, xel, apl,
kmax, lmax, kmx, kmx, lmn, lmx);
t = FMAKE_N(REAL, nz, "COMPUTE_A:t");
s = FMAKE_N(REAL, nz, "COMPUTE_A:s");
/* compute apl */
PM_set_value(s, nz, 0.0);
PM_set_value(t, nz, 0.0);
vecset4(lra, x1, x2, x3, x4);
for (l = lmn+1; l <= lmx; l++)
{j0 = NODE_OF(kmx, l);
if (constr)
/* sweep to the right */
{for (k = kmn+1; k <= kmx; k++)
{j = NODE_OF(k, l);
u = 4.0/(x1[j] + x2[j] + x3[j] + x4[j]);
dk = 0.5*(x2[j] - x3[j] - x4[j] + x1[j]);
dl = 0.5*(x2[j] + x3[j] - x4[j] - x1[j]);
dkl = 0.25*(x2[j] - x3[j] + x4[j] - x1[j]);
s[j] = s[j-1] + 2.0*dl + dk*u*u - dkl*u;};
/* sweep to the left */
for (k = kmx-1; k >= kmn; k--)
{j = NODE_OF(k, l);
u = 4.0/(x1[j] + x2[j] + x3[j] + x4[j]);
dk = 0.5*(x2[j] - x3[j] - x4[j] + x1[j]);
dl = 0.5*(x2[j] + x3[j] - x4[j] - x1[j]);
dkl = 0.25*(x2[j] - x3[j] + x4[j] - x1[j]);
t[j] = t[j+1] - 2.0*dl - dk*u*u + dkl*u;};};
for (k = kmn+1; k <= kmx; k++)
{j = NODE_OF(k, l);
apl[j] = 0.5*(s[j] + t[j]) + apl[j0];};};
/* compute apk */
PM_set_value(s, nz, 0.0);
PM_set_value(t, nz, 0.0);
vecset4(kra, x1, x2, x3, x4);
for (k = kmn+1; k <= kmx; k++)
{j0 = NODE_OF(k, lmx);
if (constr)
/* sweep up */
{for (l = lmn+1; l <= lmx; l++)
{j = NODE_OF(k, l);
u = 4.0/(x1[j] + x2[j] + x3[j] + x4[j]);
dk = 0.5*(x2[j] - x3[j] - x4[j] + x1[j]);
dl = 0.5*(x2[j] + x3[j] - x4[j] - x1[j]);
dkl = 0.25*(x2[j] - x3[j] + x4[j] - x1[j]);
s[j] = s[j-kbnd] + 2.0*dk + dl*u*u - dkl*u;};
/* sweep down */
for (l = lmx-1; l > lmn; l--)
{j = NODE_OF(k, l);
u = 4.0/(x1[j] + x2[j] + x3[j] + x4[j]);
dk = 0.5*(x2[j] - x3[j] - x4[j] + x1[j]);
dl = 0.5*(x2[j] + x3[j] - x4[j] - x1[j]);
dkl = 0.25*(x2[j] - x3[j] + x4[j] - x1[j]);
t[j] = t[j+kbnd] - 2.0*dk - dl*u*u + dkl*u;};};
for (l = lmn+1; l <= lmx; l++)
{j = NODE_OF(k, l);
apk[j] = 0.5*(s[j] + t[j]) + apk[j0];};};
SFREE_N(s, nz);
SFREE_N(t, nz);
return;}
/*--------------------------------------------------------------------------*/
/*--------------------------------------------------------------------------*/
/* _PM_FILL_LAPL_OPA - set up the laplacian operator and the boundary arrays
* - for the 2D laplacian solver
* - this operator uses both the normal and tangential
* - spacing ratios
* - if KRA, LRA, APK, or APL are NULL or CRF is TRUE,
* - use constant ratios KRC and LRC
*/
static void _PM_fill_lapl_opa(lapl, kmax, lmax,
na, ar, dt, kra, lra, apk, apl, nodet,
n_map, ts, krc, lrc, crf, theta)
PM_matrix *lapl;
int kmax, lmax, na;
PM_matrix **ar;
REAL **dt, *kra, *lra, *apk, *apl, *nodet;
PM_matrix *n_map;
double ts, krc, lrc;
int crf;
double theta;
{int n, m, j, j0, i, k, kbnd, lbnd;
double alpha, beta;
double s1, s2, s3, s4, sr, sl, sb, st;
double akp, akm, alp, alm;
double ckp, ck, ckm, clp, cl, clm;
double bkp, bk, bkm, blp, bl, blm;
double pnt, cnt;
theta *= 0.5*PI;
alpha = cos(theta);
beta = sin(theta);
pnt = alpha + beta;
alpha /= pnt;
beta /= pnt;
kbnd = kmax + 1;
lbnd = lmax + 1;
n = n_map->nrow;
PM_set_value(lapl->array, n*n, 0.0);
pnt = min(ts, 1.0);
pnt = max(pnt, 0.0);
cnt = 2.0 - pnt;
for (i = 1; i <= n; i++)
{j = PM_element(n_map, i, 1);
if ((kra == NULL) || (lra == NULL) ||
(apk == NULL) || (apl == NULL) ||
crf)
{sr = 1.0/(1.0 + krc);
sl = krc*sr;
st = 1.0/(1.0 + lrc);
sb = lrc*st;
s1 = -pnt*sr*sb;
s2 = -pnt*sr*st;
s3 = -pnt*sl*st;
s4 = -pnt*sl*sb;}
else
{akp = apk[j+1];
akm = 1.0/apk[j];
alp = apl[j+kbnd];
alm = 1.0/apl[j];
ckp = 1.0/(1.0 + kra[j+kbnd]);
ck = 1.0/(1.0 + kra[j]);
ckm = 1.0/(1.0 + kra[j-kbnd]);
clp = 1.0/(1.0 + lra[j+1]);
cl = 1.0/(1.0 + lra[j]);
clm = 1.0/(1.0 + lra[j-1]);
bkp = ckp*kra[j+kbnd];
bk = ck*kra[j];
bkm = ckm*kra[j-kbnd];
blp = clp*lra[j+1];
bl = cl*lra[j];
blm = clm*lra[j-1];
sr = (alpha + beta*akp)*ck;
sl = (alpha + beta*akm)*bk;
st = (alpha*alp + beta)*cl;
sb = (alpha*alm + beta)*bl;
s1 = -pnt*(alpha*alm*bl*ckm + beta*akp*ck*blp);
s2 = -pnt*(alpha*alp*cl*ckp + beta*akp*ck*clp);
s3 = -pnt*(alpha*alp*cl*bkp + beta*akm*bk*clm);
s4 = -pnt*(alpha*alm*bl*bkm + beta*akm*bk*blm);};
PM_element(lapl, i, i) = -cnt;
for (k = 0; k < na; k++)
{PM_element(ar[k], i, 1) = 0;};
LOAD_LAPLACIAN(ar, dt, 1, 2, sr);
LOAD_LAPLACIAN(ar, dt, kbnd, 3, st);
LOAD_LAPLACIAN(ar, dt, -1, 4, sl);
LOAD_LAPLACIAN(ar, dt, -kbnd, 5, sb);
LOAD_LAPLACIAN(ar, dt, kbnd+1, 6, s2);
LOAD_LAPLACIAN(ar, dt, kbnd-1, 7, s3);
LOAD_LAPLACIAN(ar, dt, -kbnd-1, 8, s4);
LOAD_LAPLACIAN(ar, dt, -kbnd+1, 9, s1);};
return;}
/*--------------------------------------------------------------------------*/
/*--------------------------------------------------------------------------*/
/* _PM_LAPLACE_SOLA - compute the coordinates using the correct laplacian
* - this operator uses both the normal and tangential
* - spacing ratios
*/
static void _PM_laplace_sola(lapl, kmax, lmax,
na, ar, dt, kra, lra, apk, apl, nodet, n_map, ips,
ts, krc, lrc, crf, theta)
PM_matrix *lapl;
int kmax, lmax, na;
PM_matrix **ar;
REAL **dt, *kra, *lra, *apk, *apl, *nodet;
PM_matrix *n_map;
int *ips;
double ts, krc, lrc;
int crf;
double theta;
{int n, j, i, k;
/* fill in the laplacian, bx, by and n_map arrays */
_PM_fill_lapl_opa(lapl, kmax, lmax,
na, ar, dt, kra, lra, apk, apl, nodet, n_map,
ts, krc, lrc, crf, theta);
/* do the lu decomposition */
PM_decompose(lapl, ips, FALSE);
/* do the sol part on bx and by, the boundary information for rx and ry */
for (k = 0; k < na; k++)
{PM_sol(lapl, ar[k], ips, FALSE);};
n = n_map->nrow;
for (j = 1; j <= n; j++)
{i = PM_element(n_map, j, 1);
for (k = 0; k < na; k++)
dt[k][i] = PM_element(ar[k], j, 1);};
return;}
/*--------------------------------------------------------------------------*/
/*--------------------------------------------------------------------------*/
/* PM_MESH_PART - find the rest of the nodes in the part
* - and compute the mesh in the part
* - Arguments:
* - RX space for x coordinate values (i/o)
* - RY space for y coordinate values (i/o)
* - NODET node type array (i)
* - REG_MAP material region map array (i)
* - N number of nodes in this part of the mesh
* - (K,L) a logical point in this part of the mesh
* - KMN patch minimum k value
* - KMX patch maximum k value
* - LMN patch minimum l value
* - LMX patch maximum l value
* - KMAX global mesh maximum k value
* - LMAX global mesh maximum l value
* - M material region number (i)
* - KR patch wide k-ratio (i)
* - LR patch wide l-ratio (i)
* - KRA k-ratio array (i)
* - LRA l-ratio array (i)
* - APK k-product array method 2 only (i)
* - APL l-product array method 2 only (i)
* - ASK k-product magnitude start method 2 only (i)
* - XSK k-product exponent start method 2 only (i)
* - AEK k-product magnitude end method 2 only (i)
* - XEK k-product exponent end method 2 only (i)
* - ASL l-product magnitude start method 2 only (i)
* - XSL l-product exponent start method 2 only (i)
* - AEL l-product magnitude end method 2 only (i)
* - XEL l-product exponent end method 2 only (i)
* - METHOD generation method: 1) ratios only;
* - 2) products and rations
* - CONSTR impose mesh generation constraint
* - DSPAT spatial differencing: 0.0 -> pure 5 point
* - 1.0 -> pure 9 point
* - DRAT ratio differencing: 0.0 -> pure 5 point
* - 1.0 -> pure 9 point
* - ORIENT orientation: 0.0 -> pure K orientation
* - 1.0 -> pure L orientation
*/
void PM_mesh_part(rx, ry, nodet, reg_map,
n, k, l, kmn, kmx, lmn, lmx, kmax, lmax,
m, kr, lr, kra, lra, apk, apl,
ask, xsk, aek, xek,
asl, xsl, ael, xel,
method, constr, dspat, drat, orient)
REAL *rx, *ry, *nodet;
int *reg_map;
int n, k, l, kmn, kmx, lmn, lmx, kmax, lmax, m;
double kr, lr;
REAL *kra, *lra, *apk, *apl;
double ask, xsk, aek, xek, asl, xsl, ael, xel;
int method, constr;
double dspat, drat, orient;
{int j, na;
int *ips;
REAL **dt;
PM_matrix **ar, *n_map, *lapl;
switch (method)
/* this method uses only the tangential spacing ratios */
{case 1 :
ips = FMAKE_N(int, n, "MESH_PART:ips");
n_map = PM_create(n, 9);
lapl = PM_create(n, n);
_PM_fill_map(n_map, kmax, lmax, nodet);
na = 2;
ar = FMAKE_N(PM_matrix *, na, "MESH_PART:ar");
dt = FMAKE_N(REAL *, na, "MESH_PART:dt");
for (j = 0; j < na; j++)
ar[j] = PM_create(n, 1);
dt[0] = kra;
dt[1] = lra;
_PM_laplace_sol(lapl, kmax, lmax,
na, ar, dt, NULL, NULL, nodet,
n_map, ips, drat,
kr, lr, TRUE);
dt[0] = rx;
dt[1] = ry;
_PM_laplace_sol(lapl, kmax, lmax,
na, ar, dt, kra, lra, nodet,
n_map, ips, dspat,
1.0, 1.0, FALSE);
/* map xn and yn into rx and ry with n_map */
_PM_fin_sol(n_map, m, reg_map, nodet);
/* release the intermediate storage */
PM_destroy(lapl);
PM_destroy(n_map);
for (j = 0; j < na; j++)
PM_destroy(ar[j]);
SFREE(ar);
SFREE(ips);
break;
/* this method uses both the normal and tangential spacing ratios */
case 2 :
ips = FMAKE_N(int, n, "MESH_PART:ips");
n_map = PM_create(n, 9);
lapl = PM_create(n, n);
_PM_fill_map(n_map, kmax, lmax, nodet);
na = 4;
ar = FMAKE_N(PM_matrix *, na, "MESH_PART:ar");
dt = FMAKE_N(REAL *, na, "MESH_PART:dt");
for (j = 0; j < na; j++)
ar[j] = PM_create(n, 1);
dt[0] = kra;
dt[1] = lra;
dt[2] = apk;
dt[3] = apl;
_PM_laplace_sola(lapl, kmax, lmax,
na, ar, dt, NULL, NULL,
NULL, NULL, nodet,
n_map, ips, drat,
kr, lr, TRUE, orient);
_PM_compute_a(apk, apl, kra, lra, kmax, lmax,
kmn, kmx, lmn, lmx,
ask, xsk, aek, xek, asl, xsl, ael, xel,
constr);
na = 2;
dt[0] = rx;
dt[1] = ry;
_PM_laplace_sola(lapl, kmax, lmax,
na, ar, dt, kra, lra,
apk, apl, nodet,
n_map, ips, dspat,
1.0, 1.0, FALSE, orient);
/* map xn and yn into rx and ry with n_map */
_PM_fin_sol(n_map, m, reg_map, nodet);
/* release the intermediate storage */
PM_destroy(lapl);
PM_destroy(n_map);
for (j = 0; j < na; j++)
PM_destroy(ar[j]);
SFREE(ar);
SFREE(ips);
break;
default :
break;};
return;}
/*--------------------------------------------------------------------------*/
/*--------------------------------------------------------------------------*/
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