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CONTOR.for
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1991-04-13
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SUBROUTINE CONTOR(Z,NZ,IZ,MX,MY,X1,XMX,Y1,YMY,NL,CL)
IMPLICIT NONE
C
C THIS SUBROUTINE WILL PRODUCE A CONTOUR PLOT OF THE FUNCTION
C DEFINED BY Z(I,J) = F(X(I),Y(J)). IT IS ASSUMED THAT
C A CALL TO "MAPIT" HAS ALREADY BEEN MADE TO ESTABLISH THE
C COORDINATE AXIS (X,Y), WITH X LIMITS COVERING THE RANGE
C X1 TO XMX, AND Y LIMITS COVERING THE RANGE Y1 TO YMY.
C
C Bad bug fixed: 23-APR-1985 by Hal R. Brand
C
CArguments:
C
C Input
C
C Z * Type: real array.
C * The values of the function to contour:
C Z(I,J) = F(Xi,Yj) where:
C Xi = X1 + (i-1)*(XMX-X1)/(MX-1)
C Yj = Y1 + (j-1)*(YMX-Y1)/(MY-1)
C
C NZ * Type: integer constant or variable.
C * The first dimension of the array Z - not necessaril
C equal to MX, but MX <= NZ.
C
C IZ * Type: byte array.
C * Used internally for working storage.
C
C MX * Type: integer constant or variable.
C * The number of X grid points.
C
C MY * Type: integer constant or variable.
C * The number of Y grid points.
C
C X1 * Type: real constant or variable.
C * The minimum X value.
C
C XMX * Type: real constant or variable.
C * The maximum X value.
C
C Y1 * Type: real constant or variable.
C * The minimum Y value.
C
C YMY * Type: real constant or variable.
C * The maximum Y value.
C
C NL * Type: integer constant or variable.
C * The number of contour levels.
C
C CL * Type: real array.
C * The coutour levels to draw. (Same units as
C F() or Z().)
C
C Output
C
C None.
C
CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
C
REAL*4 Z(NZ,MY),X1,Y1,YMY
REAL*4 CL(NL)
INTEGER*1 IZ(MX,MY)
REAL*4 CLEVEL,XL,DX,YL,DY
INTEGER IOLD,JOLD,IN,JN,NX,NY,NLOOP
COMMON /CONTR/ CLEVEL,IOLD,JOLD,IN,JN,
1 NX,NY,XL,DX,YL,DY
INTEGER I,J,NL,ICIR,IU,JU,NC
C
C INITIALIZE ROUTINE
C
XL = X1
YL = Y1
DX = XMX-X1
DY = YMY-Y1
NX=MX
NY=MY
NLOOP=MIN1(FLOAT(NX)/2.0+.5,FLOAT(NY)/2.0+.5)
C START SEARCHING FOR PLUS-MINUS TRANSITIONS
C TO START A CONTOR ON.
DO 50 NC=1,NL
C
C ZERO ARRAY SHOWING WHERE WE HAVE BEEN
C
DO 2 J=1,NY
DO 1 I=1,NX
IZ(I,J)=0
1 CONTINUE
2 CONTINUE
CLEVEL=CL(NC)
DO 50 ICIR=1,NLOOP
IU=NX+1-ICIR
JU=NY+1-ICIR
DO 10 J=ICIR,JU-1
CALL LOOK(Z,ICIR,J,1,IZ,NZ,NX)
10 CONTINUE
DO 20 I=ICIR,IU-1
CALL LOOK(Z,I,JU,2,IZ,NZ,NX)
20 CONTINUE
DO 30 J=JU,ICIR+1,-1
CALL LOOK(Z,IU,J,3,IZ,NZ,NX)
30 CONTINUE
DO 40 I=IU,ICIR+1,-1
CALL LOOK(Z,I,ICIR,4,IZ,NZ,NX)
40 CONTINUE
50 CONTINUE
RETURN
END
C
C
C
SUBROUTINE LOOK(Z,II,JJ,M,IZ,NZ,IZDIM)
INTEGER*1 IZ(IZDIM,2)
DIMENSION Z(NZ,2)
C
C This subroutine looks for a contour starting at the point (II,JJ)
C with the contour being oriented such that the point (II,JJ) is
C greater than the current contouring level, and its neighbor (specifie
C by M) is less than the current contouring level.
C
COMMON /CONTR/ CLEVEL,IOLD,JOLD,IN,JN,
1 NX,NY,XL,DX,YL,DY
DIMENSION IDMODE(3,4)
DATA IDMODE/4,1,2, 1,2,3, 2,3,4, 3,4,1/
C
IOLD=II
JOLD=JJ
MODE=M
CALL NEWP(1,MODE)
C
C LOOK FOR CONTOR STARTING HERE. THE "OLD" POINT IS ALWAYS THE
C POSITIVE ONE, SO THE TEST IS EASY.
C
IF (Z(IOLD,JOLD) .GE. CLEVEL .AND. Z(IN,JN) .LT. CLEVEL) GOTO 20
100 RETURN
C
C CHECK FOR CONTOR PREVIOUSLY THRU HERE - "SEGMNT" RETURNS THE POINT
C WE MARK WHEN EVER A CONTOUR PASSES THRU THE POINTS "(IOLD,JOLD)"
C AND "(IN,JN)". "SEGMNT" ALSO RETURNS THE MARK THAT SHOULD BE
C PLACED GIVEN THE ORIENTATION OF THE CONTOUR.
C
20 CALL SEGMNT(ICI,ICJ,ISEG)
IF ((IZ(ICI,ICJ).AND.ISEG) .NE. 0) RETURN
C
C NEW CONTOUR. TRACE IT TILL IT ENDS BY LOOPING BACK ON ITSELF, OR
C RUNNING OFF THE GRID.
C
CALL ZPNT(XX,YY,Z,NZ)
CALL SCALE(XX,YY,VX,VY)
CALL GSMOVE(VX,VY)
IOLD=IN
JOLD=JN
30 CONTINUE
DO 50 N=2,4
CALL NEWP(N,MODE)
IF (IN .LT. 1 .OR. IN .GT. NX) GO TO 100
IF (JN .LT. 1 .OR. JN .GT. NY) GO TO 100
IF (SIGN(1.0,Z(IOLD,JOLD)-CLEVEL) .NE.
1 SIGN(1.0,Z(IN,JN)-CLEVEL)) GO TO 60
IOLD=IN
JOLD=JN
50 CONTINUE
C
C IT IS IMPOSSIBLE TO JUST FALL THRU DUE TO THE ALGORITHM
C
C STOP 'SERIOUS ERROR'
60 CONTINUE
C
C FOUND THE NEXT INTERSECTION. SEE IF IT HAS ALREADY BEEN MARKED.
C IF SO, THEN WE ARE DONE, ELSE, MARK IT, DRAW TO IT, AND CONTINUE ON.
C
CALL SEGMNT(ICI,ICJ,ISEG)
IF ((IZ(ICI,ICJ).AND.ISEG) .NE. 0) RETURN
IZ(ICI,ICJ)=(IZ(ICI,ICJ).OR.ISEG)
CALL ZPNT(XX,YY,Z,NZ)
CALL SCALE(XX,YY,VX,VY)
CALL GSDRAW(VX,VY)
MODE=IDMODE(N-1,MODE)
GO TO 30
END
C
C
C
SUBROUTINE SEGMNT(ICI,ICJ,ISEG)
COMMON /CONTR/ CLEVEL,IOLD,JOLD,IN,JN,
1 NX,NY,XL,DX,YL,DY
ICI=MIN0(IOLD,IN)
ICJ=MIN0(JOLD,JN)
ISEG=1
IF (IOLD .EQ. IN) ISEG=2
RETURN
END
C
C
C
SUBROUTINE NEWP(I,M)
COMMON /CONTR/ CLEVEL,IOLD,JOLD,IN,JN,
1 NX,NY,XL,DX,YL,DY
DIMENSION IDELI(4),JDELJ(4)
DATA IDELI,JDELJ / 0,1,0,-1, 1,0,-1,0/
INDEX=MOD(2+I+M,4)+1
IN=IOLD+IDELI(INDEX)
JN=JOLD+JDELJ(INDEX)
RETURN
END
C
C
C
SUBROUTINE ZPNT(X,Y,Z,NZ)
DIMENSION Z(NZ,2)
COMMON /CONTR/ CLEVEL,IOLD,JOLD,IN,JN,
1 NX,NY,XL,DX,YL,DY
A=Z(IN,JN)-Z(IOLD,JOLD)
C IF NO CHANGE IN Z'S, PICK OLD POINT SO AS TO STAY TO RIGHT
IF (A .EQ. 0.0) GO TO 10
A=(CLEVEL-Z(IOLD,JOLD))/A
10 X=A*(IN-IOLD)+IOLD
Y=A*(JN-JOLD)+JOLD
C NOW CONVERT INDEXS TO X,Y VALUES
X=(X-1.0)*DX/(NX-1)+XL
Y=(Y-1.0)*DY/(NY-1)+YL
RETURN
END