| fe4da5cc |
1 | * |
| 2 | * $Id$ |
| 3 | * |
| 4 | * $Log$ |
| 5 | * Revision 1.1.1.1 1996/04/01 15:02:25 mclareni |
| 6 | * Mathlib gen |
| 7 | * |
| 8 | * |
| 9 | #include "gen/pilot.h" |
| 10 | SUBROUTINE DSPCD2(KX,KY,MX,MY,NDERX,NDERY,TX,TY,C,NDIMC,D,NERR) |
| 11 | |
| 12 | #include "gen/imp64.inc" |
| 13 | DIMENSION TX(*),TY(*),C(NDIMC,*),D(NDIMC,*) |
| 14 | CHARACTER NAME*(*) |
| 15 | CHARACTER*80 ERRTXT |
| 16 | PARAMETER (NAME = 'DSPCD2') |
| 17 | |
| 18 | ************************************************************************ |
| 19 | * NORBAS, VERSION: 15.03.1993 |
| 20 | ************************************************************************ |
| 21 | * |
| 22 | * DSPCD2 COMPUTES FROM GIVEN COEFFICIENTS |
| 23 | * C(I,J) (I=1,...,MX-KX-1 , J=1,...,MY-KY-1) |
| 24 | * OF A TWO-DIMENSIONAL POLYNOMIAL SPLINE S(X,Y) IN REPRESENTATION OF |
| 25 | * NORMALIZED TWO-DIMENSIONAL B-SPLINES B(I,J)(X,Y) |
| 26 | * |
| 27 | * S(X,Y) = SUMME(I=1,...,MX-KX-1) |
| 28 | * SUMME(J=1,...,MY-KY-1) C(I,J) * B(I,J)(X,Y) |
| 29 | * |
| 30 | * THE CORRESPONDING COEFFICIENTS |
| 31 | * D(I,J) (I=1,...,MX-KX-NDERX-1 , J=1,...,MY-KY-NDERY-1) |
| 32 | * OF THE NDERX-TH , NDERY-TH PARTIAL DERIVATIVE OF S(X,Y). |
| 33 | * |
| 34 | * THE TWO-DIMENSIONAL B-SPLINES B(I,J)(X,Y) ARE THE PRODUCT OF TWO |
| 35 | * ONE-DIMENSIONAL B-SPLINES BX , BY |
| 36 | * B(I,J)(X,Y) = BX(I,KX)(X) * BY(J,KY)(Y) |
| 37 | * OF DEGREE KX AND KY ( 0 <= KX , KY <= 25 ) WITH INDICES I , J |
| 38 | * ( 1 <= I <= MX-KX-1 , 1 <= J <= MY-KY-1 ) OVER TWO SETS OF SPLINE- |
| 39 | * KNOTS |
| 40 | * TX(1),TX(2),...,TX(MX) ( MX >= 2*KX+2 ) |
| 41 | * TY(1),TY(2),...,TY(MY) ( MY >= 2*KY+2 ) , |
| 42 | * RESPECTIVELY. |
| 43 | * FOR FURTHER DETAILS TO THE ONE-DIMENSIONAL NORMALIZED B-SPLINES SEE |
| 44 | * THE COMMENTS TO DSPNB1. |
| 45 | * |
| 46 | * PARAMETERS: |
| 47 | * |
| 48 | * KX (INTEGER) DEGREE OF ONE-DIMENSIONAL B-SPLINES IN X-DIRECTION |
| 49 | * OVER THE SET OF KNOTS TX. |
| 50 | * KY (INTEGER) DEGREE OF ONE-DIMENSIONAL B-SPLINES IN Y-DIRECTION |
| 51 | * OVER THE SET OF KNOTS TY. |
| 52 | * MX (INTEGER) NUMBER OF KNOTS FOR THE B-SPLINES IN X-DIRECTION. |
| 53 | * MY (INTEGER) NUMBER OF KNOTS FOR THE B-SPLINES IN Y-DIRECTION. |
| 54 | * NDERX (INTEGER) ORDER OF PARTIAL DERIVATIVE IN X-DIRECTION. |
| 55 | * NDERY (INTEGER) ORDER OF PARTIAL DERIVATIVE IN Y-DIRECTION. |
| 56 | * NDIMC (INTEGER) DECLARED FIRST DIMENSION OF ARRAYS C AND D IN THE |
| 57 | * CALLING PROGRAM, WITH NDIMC >= MX-KX-1 . |
| 58 | * TX (DOUBLE PRECISION) ARRAY OF AT LEAST ORDER MX CONTAINING THE |
| 59 | * KNOTS IN X-DIRECTION, ON ENTRY. |
| 60 | * TY (DOUBLE PRECISION) ARRAY OF AT LEAST ORDER MY CONTAINING THE |
| 61 | * KNOTS IN Y-DIRECTION, ON ENTRY. |
| 62 | * C (DOUBLE PRECISION) ARRAY OF ORDER (NDIMC, >= MY-KY-1). |
| 63 | * ON ENTRY C(I,J) MUST CONTAIN THE (I,J)-TH COEFFICIENT OF THE |
| 64 | * TWO-DIMENSIONAL B-SPLINE REPRESENTATION OF S(X,Y) . |
| 65 | * D (DOUBLE PRECISION) ARRAY OF ORDER (NDIMD, >= MY-KY-1). |
| 66 | * ON EXIT D(I,J) CONTAINS THE (I,J)-TH COEFFICIENT OF THE |
| 67 | * TWO-DIMENSIONAL B-SPLINE REPRESENTATION OF THE NDERX-TH, |
| 68 | * NDERY-TH PARTIAL DERIVATIVE OF S(X,Y). |
| 69 | * NERR (INTEGER) ERROR INDICATOR. ON EXIT: |
| 70 | * = 0: NO ERROR DETECTED |
| 71 | * = 1: AT LEAST ONE OF THE CONSTANTS KX , KY , MX , MY , NDERX , |
| 72 | * NDERY IS ILLEGAL |
| 73 | * |
| 74 | * ERROR MESSAGES: |
| 75 | * |
| 76 | * IF ONE OF THE FOLLOWING RELATION IS SATISFIED BY THE CHOSEN INPUT- |
| 77 | * PARAMETERS THE PROGRAM RETURNS, AND AN ERROR MESSAGE IS PRINTED: |
| 78 | * KX < 0 OR KX > 25 OR KY < 0 OR KY > 25 OR |
| 79 | * MX < 2*KX+2 OR MY < 2*KY+2 OR |
| 80 | * NDERX < 0 OR NDERY < 0 OR |
| 81 | * NDERX < 1 AND NDERY < 1 OR |
| 82 | * NDERX > KX OR NDERY > KY . |
| 83 | * |
| 84 | ************************************************************************ |
| 85 | |
| 86 | PARAMETER (Z0 = 0) |
| 87 | |
| 88 | NERR=1 |
| 89 | IF(KX .LT. 0 .OR. KX .GT. 25) THEN |
| 90 | WRITE(ERRTXT,101) 'KX',KX |
| 91 | CALL MTLPRT(NAME,'E210.1',ERRTXT) |
| 92 | ELSEIF(KY .LT. 0 .OR. KY .GT. 25) THEN |
| 93 | WRITE(ERRTXT,101) 'KY',KY |
| 94 | CALL MTLPRT(NAME,'E210.1',ERRTXT) |
| 95 | ELSEIF(MX .LT. 2*KX+2) THEN |
| 96 | WRITE(ERRTXT,101) 'MX',MX |
| 97 | CALL MTLPRT(NAME,'E210.2',ERRTXT) |
| 98 | ELSEIF(MY .LT. 2*KY+2) THEN |
| 99 | WRITE(ERRTXT,101) 'MY',MY |
| 100 | CALL MTLPRT(NAME,'E210.2',ERRTXT) |
| 101 | ELSEIF(NDERX .LT. 0 .OR. NDERX .GT. KX) THEN |
| 102 | WRITE(ERRTXT,101) 'NDERX',NDERX |
| 103 | CALL MTLPRT(NAME,'E210.5',ERRTXT) |
| 104 | ELSEIF(NDERY .LT. 0 .OR. NDERY .GT. KY) THEN |
| 105 | WRITE(ERRTXT,101) 'NDERY',NDERY |
| 106 | CALL MTLPRT(NAME,'E210.5',ERRTXT) |
| 107 | ELSEIF(NDERX .LT. 1 .AND. NDERY .LT. 1)THEN |
| 108 | WRITE(ERRTXT,102) 'NDERX',NDERX,'NDERY',NDERY |
| 109 | CALL MTLPRT(NAME,'E210.6',ERRTXT) |
| 110 | ELSE |
| 111 | |
| 112 | NERR=0 |
| 113 | CALL DMCPY(MX-KX-1,MY-KY-1,C(1,1),C(1,2),C(2,1), |
| 114 | + D(1,1),D(1,2),D(2,1)) |
| 115 | IF(NDERX .GT. 0) THEN |
| 116 | DO 10 J = 1,MY-KY-1 |
| 117 | DO 10 L = 1,NDERX |
| 118 | A=KX-L+1 |
| 119 | DO 10 I = 1,MX-KX-1-L |
| 120 | DIF=TX(I+KX+1)-TX(I+L) |
| 121 | D0=Z0 |
| 122 | IF(DIF .NE. Z0) D0=A*(D(I+1,J)-D(I,J))/DIF |
| 123 | 10 D(I,J)=D0 |
| 124 | ENDIF |
| 125 | |
| 126 | IF(NDERY .GT. 0) THEN |
| 127 | DO 20 I = 1,MX-KX-1 |
| 128 | DO 20 L = 1,NDERY |
| 129 | A=KY-L+1 |
| 130 | DO 20 J = 1,MY-KY-1-L |
| 131 | DIF=TY(J+KY+1)-TY(J+L) |
| 132 | D0=Z0 |
| 133 | IF(DIF .NE. Z0) D0=A*(D(I,J+1)-D(I,J))/DIF |
| 134 | 20 D(I,J)=D0 |
| 135 | ENDIF |
| 136 | ENDIF |
| 137 | |
| 138 | RETURN |
| 139 | |
| 140 | 101 FORMAT(1X,A5,' =',I6,' NOT IN RANGE') |
| 141 | 102 FORMAT(1X,A5,' =',I6,A7,' =',I6,' INCONSISTENT') |
| 142 | END |
| 143 | |
| 144 | |
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