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- /******************************************************************************
- * SBzrEval.c - Bezier surfaces handling routines - evaluation routines. *
- *******************************************************************************
- * Written by Gershon Elber, Mar. 90. *
- ******************************************************************************/
-
- #include "cagd_loc.h"
-
- /******************************************************************************
- * Evaluate the given tensor product Bezier surface at a given point, by *
- * extracting an isoparamteric curve along u and evaluating v in it. *
- * *
- * u --> *
- * +----------------------+ *
- * |P0 Pi-1| *
- * V |Pi P2i-1| Parametric space orientation - control mesh. *
- * || | *
- * v|Pn-i Pn-1| *
- * +----------------------+ *
- * *
- ******************************************************************************/
- CagdRType *BzrSrfEvalAtParam(CagdSrfStruct *Srf, CagdRType u, CagdRType v)
- {
- CagdRType *Pt;
- CagdCrvStruct
- *IsoCrv = BzrSrfCrvFromSrf(Srf, u, CAGD_CONST_U_DIR);
-
- Pt = BzrCrvEvalAtParam(IsoCrv, v);
-
- CagdCrvFree(IsoCrv);
-
- return Pt;
- }
-
- /******************************************************************************
- * Extract an isoline curve out of the given tensor product Bezier surface. *
- * Operations should prefer the CONST_U_DIR, in which the extraction is *
- * somewhat faster if it is possible. *
- ******************************************************************************/
- CagdCrvStruct *BzrSrfCrvFromSrf(CagdSrfStruct *Srf, CagdRType t,
- CagdSrfDirType Dir)
- {
- CagdCrvStruct *Crv;
- CagdBType
- IsNotRational = !CAGD_IS_RATIONAL_SRF(Srf);
- int i, j, CrvOrder, VecLen,
- MaxCoord = CAGD_NUM_OF_PT_COORD(Srf -> PType);
- CagdRType *CrvP, *SrfP;
-
- switch (Dir) {
- case CAGD_CONST_U_DIR:
- Crv = BzrCrvNew(CrvOrder = Srf -> VLength, Srf -> PType);
- VecLen = Srf -> ULength;
-
- for (i = IsNotRational; i <= MaxCoord; i++) {
- CrvP = Crv -> Points[i];
- SrfP = Srf -> Points[i];
- for (j = 0; j < CrvOrder; j++) {
- *CrvP++ = BzrCrvEvalVecAtParam(SrfP, CAGD_NEXT_U(Srf),
- VecLen, t);
- SrfP += CAGD_NEXT_V(Srf);
- }
- }
- break;
- case CAGD_CONST_V_DIR:
- Crv = BzrCrvNew(CrvOrder = Srf -> ULength, Srf -> PType);
- VecLen = Srf -> VLength;
-
- for (i = IsNotRational; i <= MaxCoord; i++) {
- CrvP = Crv -> Points[i];
- SrfP = Srf -> Points[i];
- for (j = 0; j < CrvOrder; j++) {
- *CrvP++ = BzrCrvEvalVecAtParam(SrfP, CAGD_NEXT_V(Srf),
- VecLen, t);
- SrfP += CAGD_NEXT_U(Srf);
- }
- }
- break;
- default:
- FATAL_ERROR(CAGD_ERR_DIR_NOT_CONST_UV);
- break;
- }
- return Crv;
- }
-
- /******************************************************************************
- * Extract an isoline curve out of the given mesh row/col. *
- * The provided (zero based) Index specifies which row/col Index to extract. *
- ******************************************************************************/
- CagdCrvStruct *BzrSrfCrvFromMesh(CagdSrfStruct *Srf, int Index,
- CagdSrfDirType Dir)
- {
- CagdCrvStruct *Crv;
- CagdBType
- IsNotRational = !CAGD_IS_RATIONAL_SRF(Srf);
- int i, j, CrvOrder,
- MaxCoord = CAGD_NUM_OF_PT_COORD(Srf -> PType);
- CagdRType *CrvP, *SrfP;
-
- switch (Dir) {
- case CAGD_CONST_U_DIR:
- if (Index + 1 > Srf -> ULength)
- FATAL_ERROR(CAGD_ERR_INDEX_NOT_IN_MESH);
-
- Crv = BzrCrvNew(CrvOrder = Srf -> VLength, Srf -> PType);
-
- for (i = IsNotRational; i <= MaxCoord; i++) {
- CrvP = Crv -> Points[i];
- SrfP = Srf -> Points[i] + Index * CAGD_NEXT_U(Srf);
- for (j = 0; j < CrvOrder; j++) {
- *CrvP++ = *SrfP;
- SrfP += CAGD_NEXT_V(Srf);
- }
- }
- break;
- case CAGD_CONST_V_DIR:
- if (Index + 1 > Srf -> VLength)
- FATAL_ERROR(CAGD_ERR_INDEX_NOT_IN_MESH);
-
- Crv = BzrCrvNew(CrvOrder = Srf -> ULength, Srf -> PType);
-
- for (i = IsNotRational; i <= MaxCoord; i++) {
- CrvP = Crv -> Points[i];
- SrfP = Srf -> Points[i] + Index * CAGD_NEXT_V(Srf);;
- for (j = 0; j < CrvOrder; j++) {
- *CrvP++ = *SrfP;
- SrfP += CAGD_NEXT_U(Srf);
- }
- }
- break;
- default:
- FATAL_ERROR(CAGD_ERR_DIR_NOT_CONST_UV);
- break;
- }
- return Crv;
- }
-
-