void xgamc(int index, int *nerr)
{
/*=====================================================================
* PURPOSE: To execute a MOD command given its index number.
*=====================================================================
* INPUT ARGUMENTS:
* INDEX: The index number of the command.
*=====================================================================
* OUTPUT ARGUMENTS:
* NERR: Error flag. Set to 0 if no error occurred.
* Potential error numbers: 0901.
*=====================================================================
* MODULE/LEVEL: GAM/1
*=====================================================================
* GLOBAL INPUT:
* MACH:
*=====================================================================
* GLOBAL OUTPUT:
* GAM: LRTWXL, KRTWXL, ORTWXL
*=====================================================================
* SUBROUTINES CALLED:
* SACLIB: GTOUTM, XP, XP1, XP2, XPPK, XPC, XFID, XPICKS, XPLOTPM
*=====================================================================
* MODIFICATION HISTORY:
* 970204: Added FILENUMBER to allow or disallow file number
* display. maf
* 890421: Added PLOTXY command.
* 870728: Moved XLIM and YLIM commands from GEM.
* 870420: Added SETDEVICE command.
* 861203: Added PLOTPM command.
* 830105: Deleted PUSER command.
* 821228: Added FILEID and PICKS commands. Deleted DISPLAY command.
* 821005: Added PLOTC command.
* 820825: Original version.
*===================================================================== */
/* PROCEDURE: */
*nerr = 0;
/* - Jump to correct command based upon its index number. */
switch( index ){
case 1: goto L_100;
case 2: goto L_200;
case 3: goto L_300;
case 4: goto L_400;
case 5: goto L_500;
case 6: goto L_600;
case 7: goto L_700;
case 8: goto L_800;
case 9: goto L_900;
case 10: goto L_1000;
case 11: goto L_1100;
case 12: goto L_1200;
case 13: goto L_1300;
case 14: goto L_1400;
case 15: goto L_1500;
case 16: goto L_1600; /* added for FILENUMBER. maf 970204 */
case 17: goto L_1700; /* added for PRINT. maf 990422 */
case 18: goto L_1800;
}
/* - Error return if bad index value. */
*nerr = 901;
setmsg( "ERROR", *nerr );
apcmsg( "in XGAMC",9 );
goto L_8888;
L_100:
/* - Command 01: PLOT */
xp( nerr );
goto L_8888;
L_200:
/* - Command 02: PLOT1 */
xp1( nerr );
goto L_8888;
L_300:
/* - Command 03: PLOT2 */
xp2( nerr );
goto L_8888;
L_400:
/* - Command 04: PLOTPK */
xppk( nerr );
goto L_8888;
L_500:
/* - Command 05: PLOTC */
xpc( nerr );
goto L_8888;
L_600:
/* - Command 06: FILEID */
xfid( nerr );
goto L_8888;
L_700:
/* - Command 07: PICKS */
xpicks( nerr );
goto L_8888;
L_800:
/* - Command 08: PLOTPM */
xplotpm( nerr );
goto L_8888;
L_900:
/* - Command 09: SETDEVICE */
xsetdevice( nerr );
goto L_8888;
L_1000:
/* - Command 10: XLIM */
xcrtw( &cmgam.lrtwxl, (char*)kmgam.krtwxl,9, cmgam.ortwxl, nerr );
goto L_8888;
L_1100:
/* - Command 11: YLIM */
xylim( nerr );
goto L_8888;
L_1200:
/* - Command 12: PLOTXY */
xplotxy( nerr );
goto L_8888;
L_1300:
/* - Command 13: FITXY */
xfitxy( nerr );
goto L_8888;
L_1400:
/* - Command 14: PLOTDY */
xplotdy( nerr );
goto L_8888;
L_1500:
/* - Command 15: PLOTALPHA */
xplotalpha( nerr );
goto L_8888;
L_1600:
/* - Command 16: FILENUMBER */
xfilenumber ( nerr ) ;
goto L_8888 ;
L_1700:
/* - Command 17: PRINT */
xprint ( nerr ) ;
goto L_8888 ;
L_1800:
xsave( );
goto L_8888;
L_8888:
return;
} /* end of function */
// GAUSS-LOBATTO QUADRATURE ALONG EDGE
void SetEdgeDataGL_Unst(const mesh& Mesh,
int NumQuadPoints,
int NumBasisOrder,
edge_data_Unst* EdgeData)
{
// Quick error check
if (NumQuadPoints<2 || NumQuadPoints>6 || NumBasisOrder<1 || NumBasisOrder>5)
{
printf(" \n");
printf(" Error in SetEdgeData_Unst.cpp \n");
printf(" NumQuadPoints must be 2,3,4,5, or 6.\n");
printf(" NumBasisOrder must be 1,2,3,4, or 5.\n");
printf(" NumQuadPoints = %i\n",NumQuadPoints);
printf(" NumBasisOrder = %i\n",NumBasisOrder);
printf("\n");
exit(1);
}
// ---------------------------------
// Set quadrature weights and points
// ---------------------------------
switch( NumQuadPoints )
{
case 2:
EdgeData->GL_wgts1d->set(1, 1.0 );
EdgeData->GL_wgts1d->set(2, 1.0 );
EdgeData->GL_xpts1d->set(1, 1.0 );
EdgeData->GL_xpts1d->set(2, -1.0 );
break;
case 3:
EdgeData->GL_wgts1d->set(1, onethird );
EdgeData->GL_wgts1d->set(2, 4.0*onethird );
EdgeData->GL_wgts1d->set(3, onethird );
EdgeData->GL_xpts1d->set(1, 1.0 );
EdgeData->GL_xpts1d->set(2, 0.0 );
EdgeData->GL_xpts1d->set(3, -1.0 );
break;
case 4:
EdgeData->GL_wgts1d->set(1, 0.5*onethird );
EdgeData->GL_wgts1d->set(2, 2.5*onethird );
EdgeData->GL_wgts1d->set(3, 2.5*onethird );
EdgeData->GL_wgts1d->set(4, 0.5*onethird );
EdgeData->GL_xpts1d->set(1, 1.0 );
EdgeData->GL_xpts1d->set(2, osq5 );
EdgeData->GL_xpts1d->set(3, -osq5 );
EdgeData->GL_xpts1d->set(4, -1.0 );
break;
case 5:
EdgeData->GL_wgts1d->set(1, 0.1 );
EdgeData->GL_wgts1d->set(2, 49.0/90.0 );
EdgeData->GL_wgts1d->set(3, 32.0/45.0 );
EdgeData->GL_wgts1d->set(4, 49.0/90.0 );
EdgeData->GL_wgts1d->set(5, 0.1 );
EdgeData->GL_xpts1d->set(1, 1.0 );
EdgeData->GL_xpts1d->set(2, sq3*osq7 );
EdgeData->GL_xpts1d->set(3, 0.0 );
EdgeData->GL_xpts1d->set(4, -sq3*osq7 );
EdgeData->GL_xpts1d->set(5, -1.0 );
break;
case 6:
EdgeData->GL_wgts1d->set(1, 0.2*onethird );
EdgeData->GL_wgts1d->set(2, (1.4 - 0.1*sq7)*onethird );
EdgeData->GL_wgts1d->set(3, (1.4 + 0.1*sq7)*onethird );
EdgeData->GL_wgts1d->set(4, (1.4 + 0.1*sq7)*onethird );
EdgeData->GL_wgts1d->set(5, (1.4 - 0.1*sq7)*onethird );
EdgeData->GL_wgts1d->set(6, 0.2*onethird );
EdgeData->GL_xpts1d->set(1, 1.0 );
EdgeData->GL_xpts1d->set(2, (1/21.0)*sqrt(147.0+42.0*sq7) );
EdgeData->GL_xpts1d->set(3, (1/21.0)*sqrt(147.0-42.0*sq7) );
EdgeData->GL_xpts1d->set(4, -(1/21.0)*sqrt(147.0-42.0*sq7) );
EdgeData->GL_xpts1d->set(5, -(1/21.0)*sqrt(147.0+42.0*sq7) );
EdgeData->GL_xpts1d->set(6, -1.0 );
break;
}
// ---------------------------------
// Legendre basis functions on the
// left and right of each edge
// ---------------------------------
const int NumEdges = Mesh.get_NumEdges();
const int NumBasisComps = (NumBasisOrder*(NumBasisOrder+1))/2;
dTensor1 xp1(3);
dTensor1 yp1(3);
dTensor1 xp2(3);
dTensor1 yp2(3);
dTensor1 xy1(2);
dTensor1 xy2(2);
dTensor1 mu1(NumBasisComps);
dTensor1 mu2(NumBasisComps);
for (int i=1; i<=NumEdges; i++)
{
// Get edge information
const double x1 = Mesh.get_edge(i,1);
const double y1 = Mesh.get_edge(i,2);
const double x2 = Mesh.get_edge(i,3);
const double y2 = Mesh.get_edge(i,4);
const int e1 = Mesh.get_eelem(i,1);
const int e2 = Mesh.get_eelem(i,2);
// Get element information about
// the two elements that meet at
// the current edge
const double Area1 = Mesh.get_area_prim(e1);
const double Area2 = Mesh.get_area_prim(e2);
for (int k=1; k<=3; k++)
{
xp1.set(k, Mesh.get_node(Mesh.get_tnode(e1,k),1) );
yp1.set(k, Mesh.get_node(Mesh.get_tnode(e1,k),2) );
xp2.set(k, Mesh.get_node(Mesh.get_tnode(e2,k),1) );
yp2.set(k, Mesh.get_node(Mesh.get_tnode(e2,k),2) );
}
const double xc1 = (xp1.get(1) + xp1.get(2) + xp1.get(3))/3.0;
const double yc1 = (yp1.get(1) + yp1.get(2) + yp1.get(3))/3.0;
const double xc2 = (xp2.get(1) + xp2.get(2) + xp2.get(3))/3.0;
const double yc2 = (yp2.get(1) + yp2.get(2) + yp2.get(3))/3.0;
// quadrature points on the edge
for (int m=1; m<=NumQuadPoints; m++)
{
// Take integration point s (in [-1,1])
// and map to physical domain
const double s = EdgeData->GL_xpts1d->get(m);
const double x = x1 + 0.5*(s+1.0)*(x2-x1);
const double y = y1 + 0.5*(s+1.0)*(y2-y1);
// Take physical point (x,y)
// and map into the coordinates
// of the two triangles that are
// adjacent to the current edge
xy1.set(1, ((yp1.get(3)-yp1.get(1))*(x-xc1)
+ (xp1.get(1)-xp1.get(3))*(y-yc1))/(2.0*Area1) );
xy1.set(2, ((yp1.get(1)-yp1.get(2))*(x-xc1)
+ (xp1.get(2)-xp1.get(1))*(y-yc1))/(2.0*Area1) );
xy2.set(1, ((yp2.get(3)-yp2.get(1))*(x-xc2)
+ (xp2.get(1)-xp2.get(3))*(y-yc2))/(2.0*Area2) );
xy2.set(2, ((yp2.get(1)-yp2.get(2))*(x-xc2)
+ (xp2.get(2)-xp2.get(1))*(y-yc2))/(2.0*Area2) );
// Evaluate monomials at locations xy1
double xi = xy1.get(1);
double xi2 = xi*xi;
double xi3 = xi*xi2;
double xi4 = xi*xi3;
double eta = xy1.get(2);
double eta2 = eta*eta;
double eta3 = eta*eta2;
double eta4 = eta*eta3;
switch( NumBasisOrder )
{
case 5: // fifth order
mu1.set(15, eta4 );
mu1.set(14, xi4 );
mu1.set(13, xi2*eta2 );
mu1.set(12, eta3*xi );
mu1.set(11, xi3*eta );
case 4: // fourth order
mu1.set(10, eta3 );
mu1.set(9, xi3 );
mu1.set(8, xi*eta2 );
mu1.set(7, eta*xi2 );
case 3: // third order
mu1.set(6, eta2 );
mu1.set(5, xi2 );
mu1.set(4, xi*eta );
case 2: // second order
mu1.set(3, eta );
mu1.set(2, xi );
case 1: // first order
mu1.set(1, 1.0 );
break;
}
// Evaluate monomials at locations xy2
xi = xy2.get(1);
xi2 = xi*xi;
xi3 = xi*xi2;
xi4 = xi*xi3;
eta = xy2.get(2);
eta2 = eta*eta;
eta3 = eta*eta2;
eta4 = eta*eta3;
switch( NumBasisOrder )
{
case 5: // fifth order
mu2.set(15, eta4 );
mu2.set(14, xi4 );
mu2.set(13, xi2*eta2 );
mu2.set(12, eta3*xi );
mu2.set(11, xi3*eta );
case 4: // fourth order
mu2.set(10, eta3 );
mu2.set(9, xi3 );
mu2.set(8, xi*eta2 );
mu2.set(7, eta*xi2 );
case 3: // third order
mu2.set(6, eta2 );
mu2.set(5, xi2 );
mu2.set(4, xi*eta );
case 2: // second order
mu2.set(3, eta );
mu2.set(2, xi );
case 1: // first order
mu2.set(1, 1.0 );
break;
}
// Finally, convert monomials to Legendre Polys
// on the two adjacent triangle
for (int k=1; k<=NumBasisComps; k++)
{
double tmp1 = 0.0;
double tmp2 = 0.0;
for (int j=1; j<=k; j++)
{
tmp1 = tmp1 + Mmat[k-1][j-1]*mu1.get(j);
tmp2 = tmp2 + Mmat[k-1][j-1]*mu2.get(j);
}
EdgeData->GL_phi_left->set(i,m,k, tmp1 );
EdgeData->GL_phi_right->set(i,m,k, tmp2 );
}
}
}
}
