Date: 2023-11-27T17:19:46+00:00

Actual source code: rgellipse.c
slepc-3.20.1 2023-11-27
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      1: /*
      2:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
      3:    SLEPc - Scalable Library for Eigenvalue Problem Computations
      4:    Copyright (c) 2002-, Universitat Politecnica de Valencia, Spain

      6:    This file is part of SLEPc.
      7:    SLEPc is distributed under a 2-clause BSD license (see LICENSE).
      8:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
      9: */
     10: /*
     11:    Region enclosed in an ellipse (aligned with the coordinate axes)
     12: */

     14: #include <slepc/private/rgimpl.h>
     15: #include <petscdraw.h>

     17: typedef struct {
     18:   PetscScalar center;     /* center of the ellipse */
     19:   PetscReal   radius;     /* radius of the ellipse */
     20:   PetscReal   vscale;     /* vertical scale of the ellipse */
     21: } RG_ELLIPSE;

     23: static PetscErrorCode RGEllipseSetParameters_Ellipse(RG rg,PetscScalar center,PetscReal radius,PetscReal vscale)
     24: {
     25:   RG_ELLIPSE *ctx = (RG_ELLIPSE*)rg->data;

     27:   PetscFunctionBegin;
     28:   ctx->center = center;
     29:   if (radius == (PetscReal)PETSC_DEFAULT) {
     30:     ctx->radius = 1.0;
     31:   } else {
     32:     PetscCheck(radius>0.0,PetscObjectComm((PetscObject)rg),PETSC_ERR_ARG_OUTOFRANGE,"The radius argument must be > 0.0");
     33:     ctx->radius = radius;
     34:   }
     35:   PetscCheck(vscale>0.0,PetscObjectComm((PetscObject)rg),PETSC_ERR_ARG_OUTOFRANGE,"The vscale argument must be > 0.0");
     36:   ctx->vscale = vscale;
     37:   PetscFunctionReturn(PETSC_SUCCESS);
     38: }

     40: /*@
     41:    RGEllipseSetParameters - Sets the parameters defining the ellipse region.

     43:    Logically Collective

     45:    Input Parameters:
     46: +  rg     - the region context
     47: .  center - center of the ellipse
     48: .  radius - radius of the ellipse
     49: -  vscale - vertical scale of the ellipse

     51:    Options Database Keys:
     52: +  -rg_ellipse_center - Sets the center
     53: .  -rg_ellipse_radius - Sets the radius
     54: -  -rg_ellipse_vscale - Sets the vertical scale

     56:    Notes:
     57:    In the case of complex scalars, a complex center can be provided in the
     58:    command line with [+/-][realnumber][+/-]realnumberi with no spaces, e.g.
     59:    -rg_ellipse_center 1.0+2.0i

     61:    When PETSc is built with real scalars, the center is restricted to a real value.

     63:    Level: advanced

     65: .seealso: RGEllipseGetParameters()
     66: @*/
     67: PetscErrorCode RGEllipseSetParameters(RG rg,PetscScalar center,PetscReal radius,PetscReal vscale)
     68: {
     69:   PetscFunctionBegin;
     74:   PetscTryMethod(rg,"RGEllipseSetParameters_C",(RG,PetscScalar,PetscReal,PetscReal),(rg,center,radius,vscale));
     75:   PetscFunctionReturn(PETSC_SUCCESS);
     76: }

     78: static PetscErrorCode RGEllipseGetParameters_Ellipse(RG rg,PetscScalar *center,PetscReal *radius,PetscReal *vscale)
     79: {
     80:   RG_ELLIPSE *ctx = (RG_ELLIPSE*)rg->data;

     82:   PetscFunctionBegin;
     83:   if (center) *center = ctx->center;
     84:   if (radius) *radius = ctx->radius;
     85:   if (vscale) *vscale = ctx->vscale;
     86:   PetscFunctionReturn(PETSC_SUCCESS);
     87: }

     89: /*@C
     90:    RGEllipseGetParameters - Gets the parameters that define the ellipse region.

     92:    Not Collective

     94:    Input Parameter:
     95: .  rg     - the region context

     97:    Output Parameters:
     98: +  center - center of the region
     99: .  radius - radius of the region
    100: -  vscale - vertical scale of the region

    102:    Level: advanced

    104: .seealso: RGEllipseSetParameters()
    105: @*/
    106: PetscErrorCode RGEllipseGetParameters(RG rg,PetscScalar *center,PetscReal *radius,PetscReal *vscale)
    107: {
    108:   PetscFunctionBegin;
    110:   PetscUseMethod(rg,"RGEllipseGetParameters_C",(RG,PetscScalar*,PetscReal*,PetscReal*),(rg,center,radius,vscale));
    111:   PetscFunctionReturn(PETSC_SUCCESS);
    112: }

    114: static PetscErrorCode RGView_Ellipse(RG rg,PetscViewer viewer)
    115: {
    116:   RG_ELLIPSE     *ctx = (RG_ELLIPSE*)rg->data;
    117:   PetscBool      isdraw,isascii;
    118:   int            winw,winh;
    119:   PetscDraw      draw;
    120:   PetscDrawAxis  axis;
    121:   PetscReal      cx,cy,r,ab,cd,lx,ly,w,scale=1.2;
    122:   char           str[50];

    124:   PetscFunctionBegin;
    125:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw));
    126:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&isascii));
    127:   if (isascii) {
    128:     PetscCall(SlepcSNPrintfScalar(str,sizeof(str),ctx->center,PETSC_FALSE));
    129:     PetscCall(PetscViewerASCIIPrintf(viewer,"  center: %s, radius: %g, vscale: %g\n",str,RGShowReal(ctx->radius),RGShowReal(ctx->vscale)));
    130:   } else if (isdraw) {
    131:     PetscCall(PetscViewerDrawGetDraw(viewer,0,&draw));
    132:     PetscCall(PetscDrawCheckResizedWindow(draw));
    133:     PetscCall(PetscDrawGetWindowSize(draw,&winw,&winh));
    134:     winw = PetscMax(winw,1); winh = PetscMax(winh,1);
    135:     PetscCall(PetscDrawClear(draw));
    136:     PetscCall(PetscDrawSetTitle(draw,"Ellipse region"));
    137:     PetscCall(PetscDrawAxisCreate(draw,&axis));
    138:     cx = PetscRealPart(ctx->center)*rg->sfactor;
    139:     cy = PetscImaginaryPart(ctx->center)*rg->sfactor;
    140:     r  = ctx->radius*rg->sfactor;
    141:     lx = 2*r;
    142:     ly = 2*r*ctx->vscale;
    143:     ab = cx;
    144:     cd = cy;
    145:     w  = scale*PetscMax(lx/winw,ly/winh)/2;
    146:     PetscCall(PetscDrawAxisSetLimits(axis,ab-w*winw,ab+w*winw,cd-w*winh,cd+w*winh));
    147:     PetscCall(PetscDrawAxisDraw(axis));
    148:     PetscCall(PetscDrawAxisDestroy(&axis));
    149:     PetscCall(PetscDrawEllipse(draw,cx,cy,2*r,2*r*ctx->vscale,PETSC_DRAW_RED));
    150:     PetscCall(PetscDrawFlush(draw));
    151:     PetscCall(PetscDrawSave(draw));
    152:     PetscCall(PetscDrawPause(draw));
    153:   }
    154:   PetscFunctionReturn(PETSC_SUCCESS);
    155: }

    157: static PetscErrorCode RGIsTrivial_Ellipse(RG rg,PetscBool *trivial)
    158: {
    159:   RG_ELLIPSE *ctx = (RG_ELLIPSE*)rg->data;

    161:   PetscFunctionBegin;
    162:   if (rg->complement) *trivial = PetscNot(ctx->radius);
    163:   else *trivial = PetscNot(ctx->radius<PETSC_MAX_REAL);
    164:   PetscFunctionReturn(PETSC_SUCCESS);
    165: }

    167: static PetscErrorCode RGComputeContour_Ellipse(RG rg,PetscInt n,PetscScalar *cr,PetscScalar *ci)
    168: {
    169:   RG_ELLIPSE *ctx = (RG_ELLIPSE*)rg->data;
    170:   PetscReal  theta;
    171:   PetscInt   i;

    173:   PetscFunctionBegin;
    174:   for (i=0;i<n;i++) {
    175:     theta = 2.0*PETSC_PI*(i+0.5)/n;
    176: #if defined(PETSC_USE_COMPLEX)
    177:     cr[i] = ctx->center + ctx->radius*PetscCMPLX(PetscCosReal(theta),ctx->vscale*PetscSinReal(theta));
    178: #else
    179:     if (cr) cr[i] = ctx->center + ctx->radius*PetscCosReal(theta);
    180:     if (ci) ci[i] = ctx->radius*ctx->vscale*PetscSinReal(theta);
    181: #endif
    182:   }
    183:   PetscFunctionReturn(PETSC_SUCCESS);
    184: }

    186: static PetscErrorCode RGComputeBoundingBox_Ellipse(RG rg,PetscReal *a,PetscReal *b,PetscReal *c,PetscReal *d)
    187: {
    188:   RG_ELLIPSE *ctx = (RG_ELLIPSE*)rg->data;

    190:   PetscFunctionBegin;
    191:   if (a) *a = PetscRealPart(ctx->center) - ctx->radius;
    192:   if (b) *b = PetscRealPart(ctx->center) + ctx->radius;
    193:   if (c) *c = PetscImaginaryPart(ctx->center) - ctx->radius*ctx->vscale;
    194:   if (d) *d = PetscImaginaryPart(ctx->center) + ctx->radius*ctx->vscale;
    195:   PetscFunctionReturn(PETSC_SUCCESS);
    196: }

    198: static PetscErrorCode RGComputeQuadrature_Ellipse(RG rg,RGQuadRule quad,PetscInt n,PetscScalar *z,PetscScalar *zn,PetscScalar *w)
    199: {
    200:   RG_ELLIPSE *ctx = (RG_ELLIPSE*)rg->data;
    201:   PetscReal  theta;
    202:   PetscInt   i;

    204:   PetscFunctionBegin;
    205:   for (i=0;i<n;i++) {
    206: #if defined(PETSC_USE_COMPLEX)
    207:     theta = 2.0*PETSC_PI*(i+0.5)/n;
    208:     zn[i] = PetscCMPLX(PetscCosReal(theta),ctx->vscale*PetscSinReal(theta));
    209:     w[i]  = rg->sfactor*ctx->radius*(PetscCMPLX(ctx->vscale*PetscCosReal(theta),PetscSinReal(theta)))/n;
    210: #else
    211:     theta = PETSC_PI*(i+0.5)/n;
    212:     zn[i] = PetscCosReal(theta);
    213:     w[i]  = PetscCosReal((n-1)*theta)/n;
    214:     z[i]  = rg->sfactor*(ctx->center + ctx->radius*zn[i]);
    215: #endif
    216:   }
    217:   PetscFunctionReturn(PETSC_SUCCESS);
    218: }

    220: static PetscErrorCode RGCheckInside_Ellipse(RG rg,PetscReal px,PetscReal py,PetscInt *inside)
    221: {
    222:   RG_ELLIPSE *ctx = (RG_ELLIPSE*)rg->data;
    223:   PetscReal  dx,dy,r;

    225:   PetscFunctionBegin;
    226: #if defined(PETSC_USE_COMPLEX)
    227:   dx = (px-PetscRealPart(ctx->center))/ctx->radius;
    228:   dy = (py-PetscImaginaryPart(ctx->center))/ctx->radius;
    229: #else
    230:   dx = (px-ctx->center)/ctx->radius;
    231:   dy = py/ctx->radius;
    232: #endif
    233:   r = 1.0-dx*dx-(dy*dy)/(ctx->vscale*ctx->vscale);
    234:   *inside = PetscSign(r);
    235:   PetscFunctionReturn(PETSC_SUCCESS);
    236: }

    238: static PetscErrorCode RGIsAxisymmetric_Ellipse(RG rg,PetscBool vertical,PetscBool *symm)
    239: {
    240:   RG_ELLIPSE *ctx = (RG_ELLIPSE*)rg->data;

    242:   PetscFunctionBegin;
    243:   if (vertical) *symm = (PetscRealPart(ctx->center) == 0.0)? PETSC_TRUE: PETSC_FALSE;
    244:   else *symm = (PetscImaginaryPart(ctx->center) == 0.0)? PETSC_TRUE: PETSC_FALSE;
    245:   PetscFunctionReturn(PETSC_SUCCESS);
    246: }

    248: static PetscErrorCode RGSetFromOptions_Ellipse(RG rg,PetscOptionItems *PetscOptionsObject)
    249: {
    250:   PetscScalar    s;
    251:   PetscReal      r1,r2;
    252:   PetscBool      flg1,flg2,flg3;

    254:   PetscFunctionBegin;
    255:   PetscOptionsHeadBegin(PetscOptionsObject,"RG Ellipse Options");

    257:     PetscCall(RGEllipseGetParameters(rg,&s,&r1,&r2));
    258:     PetscCall(PetscOptionsScalar("-rg_ellipse_center","Center of ellipse","RGEllipseSetParameters",s,&s,&flg1));
    259:     PetscCall(PetscOptionsReal("-rg_ellipse_radius","Radius of ellipse","RGEllipseSetParameters",r1,&r1,&flg2));
    260:     PetscCall(PetscOptionsReal("-rg_ellipse_vscale","Vertical scale of ellipse","RGEllipseSetParameters",r2,&r2,&flg3));
    261:     if (flg1 || flg2 || flg3) PetscCall(RGEllipseSetParameters(rg,s,r1,r2));

    263:   PetscOptionsHeadEnd();
    264:   PetscFunctionReturn(PETSC_SUCCESS);
    265: }

    267: static PetscErrorCode RGDestroy_Ellipse(RG rg)
    268: {
    269:   PetscFunctionBegin;
    270:   PetscCall(PetscFree(rg->data));
    271:   PetscCall(PetscObjectComposeFunction((PetscObject)rg,"RGEllipseSetParameters_C",NULL));
    272:   PetscCall(PetscObjectComposeFunction((PetscObject)rg,"RGEllipseGetParameters_C",NULL));
    273:   PetscFunctionReturn(PETSC_SUCCESS);
    274: }

    276: SLEPC_EXTERN PetscErrorCode RGCreate_Ellipse(RG rg)
    277: {
    278:   RG_ELLIPSE     *ellipse;

    280:   PetscFunctionBegin;
    281:   PetscCall(PetscNew(&ellipse));
    282:   ellipse->center = 0.0;
    283:   ellipse->radius = PETSC_MAX_REAL;
    284:   ellipse->vscale = 1.0;
    285:   rg->data = (void*)ellipse;

    287:   rg->ops->istrivial         = RGIsTrivial_Ellipse;
    288:   rg->ops->computecontour    = RGComputeContour_Ellipse;
    289:   rg->ops->computebbox       = RGComputeBoundingBox_Ellipse;
    290:   rg->ops->computequadrature = RGComputeQuadrature_Ellipse;
    291:   rg->ops->checkinside       = RGCheckInside_Ellipse;
    292:   rg->ops->isaxisymmetric    = RGIsAxisymmetric_Ellipse;
    293:   rg->ops->setfromoptions    = RGSetFromOptions_Ellipse;
    294:   rg->ops->view              = RGView_Ellipse;
    295:   rg->ops->destroy           = RGDestroy_Ellipse;
    296:   PetscCall(PetscObjectComposeFunction((PetscObject)rg,"RGEllipseSetParameters_C",RGEllipseSetParameters_Ellipse));
    297:   PetscCall(PetscObjectComposeFunction((PetscObject)rg,"RGEllipseGetParameters_C",RGEllipseGetParameters_Ellipse));
    298:   PetscFunctionReturn(PETSC_SUCCESS);
    299: }