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RELIEF.SRC
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PROGRAM RELIEF
IMPLICIT DOUBLE PRECISION ( A-H, O-Z )
C
CHARACTER*80 LINE
CHARACTER*40 UDAT,UOUT
CHARACTER*4 FDAT /'.grd'/, FOUT /'.rel'/
C
COMMON /DATA/ XY(2),CUTOFF,GRID(400,400),VERTAC,NX
COMMON /PARAM/ SCALEX,SCALEY
C
CALL MAKNAME(1,UDAT,ILEN,FDAT)
CALL MAKNAME(2,UOUT,ILEN,FOUT)
IF (ILEN .EQ. 0) STOP 'usage: relief grdfile relfile '
C
OPEN (30,FILE=UDAT)
OPEN ( 2,FILE=UOUT)
C
WRITE (6,1000)
1000 FORMAT(' EYE POSITION IN THREE SPACE ',$)
READ (5,*) A,B,C
WRITE (6,1010)
1010 FORMAT(' CUTOFF, MAGNIFICATION, VERTICAL ACCETNTUATION ')
READ (5,*) CUTOFF,RMAGNF,VERTAC
C
READ (30,100) LINE
READ (30,100) LINE
100 FORMAT (A80)
READ (30,*) NX,N,XY(1),XY(2)
READ (30,*) M,N
READ (30,*) X,Y,Z
DO 5 I = 1,N
READ (30,*) X,Y,Z
5 CONTINUE
DO 10 I = 1,NX
READ (30,*) (GRID(J,I),J=1,NX)
10 CONTINUE
C
XLOW = -1.0D0*DFLOAT(NX/2)
YLOW = -1.0D0*DFLOAT(NX/2)
XHIGH = DFLOAT(NX/2)
YHIGH = DFLOAT(NX/2)
C
SCALEX = (10.0D0/1024.0)*RMAGNF
SCALEY = (10.0D0/ 780.0)*RMAGNF
C
CALL PLOTS(53,0,2)
CALL PLOT (0.0,1.0,-3)
C
CALL PLT3DM (XLOW,XHIGH,YLOW,YHIGH,A,B,C,NX,NX,3)
C CALL PLT3DM (XLOW,XHIGH,YLOW,YHIGH,A,B,C,NX,NX,2)
C
CALL PLOT (0.0,0.0,999)
C
END
SUBROUTINE FUN(X,Y,Z)
IMPLICIT DOUBLE PRECISION ( A-H, O-Z )
C
COMMON /DATA/ XY(2),CUTOFF,GRID(400,400),VERTAC,NX
C
IX = INT(X+DFLOAT(NX/2))
IY = INT(Y+DFLOAT(NX/2))
IF (IX .EQ. 0) IX = 1
IF (IY .EQ. 0) IY = 1
Z = GRID(IX,IY)
IF (Z .GT. CUTOFF) Z = CUTOFF
IF (Z .LT. -1.0D0*CUTOFF) Z = -1.0D0*CUTOFF
Z = VERTAC*Z
C
RETURN
END
SUBROUTINE IPLOT (XO,YO,XN,YN)
IMPLICIT DOUBLE PRECISION (A-H,O-Z)
REAL X0,Y0,X1,Y1,X2,Y2
SAVE X0,Y0
C
COMMON /PARAM/ SCALEX,SCALEY
C
X1 = SNGL(XO*SCALEX)
Y1 = SNGL(YO*SCALEY)
X2 = SNGL(XN*SCALEX)
Y2 = SNGL(YN*SCALEY)
C
IF (ABS(X0-X1) .GT. 1.0D-06 .OR. ABS(Y0-Y1) .GT. 1.0D-06)
+ CALL PLOT(X1,Y1,3)
C
CALL PLOT(X2,Y2,2)
C
X0 = X2
Y0 = Y2
C
RETURN
END
SUBROUTINE MAKNAME(I,STRING,L,EXT)
CHARACTER*(*) STRING,EXT
INTEGER I,J
CALL GETARG(I,STRING)
J = LEN(STRING)
DO 10 N = 1,J
IF(STRING(N:N) .EQ. ' ') THEN
L = N - 1
STRING = STRING(1:L)//EXT
RETURN
ENDIF
10 CONTINUE
STOP ' FAILED TO MAKE A FILE NAME '
RETURN
END
SUBROUTINE PLT3DM (XLOW,XHIGH,YLOW,YHIGH,A,B,C,N,M,IDI)
IMPLICIT DOUBLE PRECISION ( A-H, O-Z )
C THE ROUTINE PLT3DM MAKES A TWO DIMENSIONAL PICTURE OF A
C FUNCTION OF TWO ARGUMENTS ,THE HIDDEN PARTS OF THE SURFACE
C NOT SHOWN .
C
C AUTHOR & WAMBECQ A.
C APLIED MATHEMATICS AND PROGRAMMING DIVISION
C CELESTIJNENLAAN 200B
C B-3030 HEVERLEE
C BELGIUM
C
C THE ROUTINE FIRST FINDS THE POINT NEAREST TO THE VIEWER]S
C EYE ,THEN DETERMINES THE CENTER OF THE PICTURE AND PROJECTS
C THIS TO THE POINT (512,390) OF THE WORKING SPACE OF THE
C ROUTINE ,BEING 1024 INTEGER UNITS IN THE X - DIRECTION ,
C AND 780 INTEGER UNITS IN THE Y - DIRECTION .
C THEN LINES ON THE SURFACE ARE DISPLAYED.
C LINES IN THE FOREGROUND ARE ALWAYS PLOTTED FIRST .
C IF A LINE LIES OUTSIDE THE VISIBILITY AREA ,THE LINE IS
C NOT DRAWN .ON THE EDGE ,LINEAR INTERPOLATION IS USED .
C THE EDGES OF THE VISIBILITY AREA ARE STORED IN THE ARRAY
C MASK ,AND ARE UPDATED EACH TIME A LINE WAS WRITTEN .
C CALLING SEQUENCE &
C
C CALL PLT3DM (FUN,XLOW,XHIGH,YLOW,YHIGH,A,B,C,N,M,IDI)
C
C ARGUMENTS &
C FUN & FUNCTION OF TWO VARIABLES .
C FUN = FUN(X,Y)
C (MUST BE DECLARED 'EXTERNAL ' IN THE CALLING
C PROGRAM)
C XLOW,XHIGH& BOUNDS OF THE X - INTERVAL
C YLOW,YHIGH& BOUNDS OF THE Y - INTERVAL
C A,B,C & VIEWERS EYE POSITION IN THREE-SPACE
C N & NUMBER OF LINES ON THE SURFACE
C M & NUMBER OF POINTS PER LINE
C (FOR N AND M ,A VALUE OF 60 - 100 WILL BE
C SUFFICIENT . M MUST BE SMALLER THAN 198)
C IDI & = 1 & LINES ARE DRAWN PARALLEL TO THE
C Y - DIRECTION .
C = 2 & LINES ARE DRAWN PARALLEL TO THE
C X - DIRECTION .
C = 3 & LINES ARE DRAWN IN BOTH DIRECTIONS
C
C A PROGRAM USING THIS ROUTINE MUST CONTAIN AT LEAST &
C
C 1) CALLING PROGRAM
C 2) FUNCTION FUN(X,Y)
C 3) SUBROUTINE PLT3DM
C 4) SUBROUTINE IPLOT (IXO,IYO,IXN,IYN)
C THIS ROUTINE LINKS THE (1024 X 780) WORKING SPACE
C OF PLT3DM TO THE PHISICAL SPACE OF THE DEVICE(S))
C USED . (PLOTTER AND/OR DISPLAY AND/OR LINEPRINTER)
C IPLOT DRAWS A LINE IN THE 1024 X 780 WORKING
C SPACE ,FROM (IXO,IYO) TO (IXN,IYN)
C
C REMARK & A SCALING IN THE CALLING PROGRAM MUST BE DONE
C TO LINK SOFTWARE TO HARDWARE SAPCE .
C IN CASE OF A PLOTTER ,THE PEN SHOULD BE
C POSITIONED IN THE 'UP' STATE AT THE BOTTEM LEFT
C CORNER OF THE PAPER .
C
C
C NOTE: WHEN CHANGING THE DIMENSION OF GRID, ICORD MUST ALSO BE
C CHANGED. IF GRID(N,N) THEN ICORD MUST HAVE DIMENSIONS OF
C ICORD(N,N+3)
C
DIMENSION MASK(2,1025),X(2),Y(2),Z(2)
DOUBLE PRECISION ICORD(2,403)
C
C GREAT IS A GREAT (MACHINE DEPENDENT) NUMBER .
DATA GREAT /1.E+20/
C STATEMENT FUNCTIONS THAT COMPUTE THE COORDINATES IN TWO
C DIMENSIONS .(THIS IS A PROJECTION AFTER TWO ROTATIONS ,
C SUCH THAT VERTICAL LINES IN THREE-SPACE ARE PROJECTED
C AS VERTICAL LINES IN TWO-SPACE ) .
XX(X1,Y1,Z1) = XA*X1 + XB*Y1 + 0.*Z1
YY(X1,Y1,Z1) = YA*X1 + YB*Y1 + YC*Z1
ZZ(X1,Y1,Z1) = ZA*X1 + ZB*Y1 + ZC*Z1
C INITIALISATION
C
DD = A*A + B*B
D = -1./DSQRT(DD)
E = 1./DSQRT(DD + C*C)
XA = -B*D
XB = A*D
YA = A*C*D*E
YB = B*C*D*E
YC = -DD*D*E
ZA = A*E
ZB = B*E
ZC = C*E
IFL = 0
IFPLT = 1
NP1 = N + 1
MP1 = M + 1
MP2 = M + 2
MP3 = M + 3
IL = IDI
IH = IL
IF(IDI.EQ.3) IL = 1
IF(IDI.EQ.3) IH = 2
C SEARCH THE GREATEST FUNCTION VALUE
RMIN = GREAT
RMAX = -RMIN
HX = (XHIGH - XLOW)/19.0D0
HY = (YHIGH - YLOW)/19.0D0
DO 20 I = 1,20
XI = XLOW + DFLOAT(I-1)*HX
DO 10 J = 1,20
YI = YLOW + DFLOAT(J-1)*HY
CALL FUN(XI,YI,FXY)
IF(FXY.LT.RMIN) RMIN = FXY
IF(FXY.GT.RMAX) RMAX = FXY
10 CONTINUE
20 CONTINUE
C DETERMINE THE CENTER OF THE PICTURE
X(1) = XLOW
X(2) = XHIGH
Y(1) = YLOW
Y(2) = YHIGH
Z(1) = RMIN - DABS(RMIN)*0.03D0
Z(2) = RMAX + DABS(RMAX)*0.03D0
XM = XX((X(1)+X(2))/2,(Y(1)+Y(2))/2,(Z(1)+Z(2))/2)
YM = YY((X(1)+X(2))/2,(Y(1)+Y(2))/2,(Z(1)+Z(2))/2)
C DETERMINE THE POINT NEAREST TO THE VIEWERS EYE .
RRMAXX = -GREAT
RRMAXY = -GREAT
RRMAXZ = -GREAT
DO 60 I = 1,2
DO 50 J = 1,2
RZZR = ZZ(X(I),Y(J),0.0D0)
IF(RZZR.LE.RRMAXZ) GO TO 30
IMAX = I
JMAX = J
RRMAXZ = RZZR
30 DO 40 K = 1,2
RRMAXX = DMAX1(RRMAXX,DABS(XX(X(I),Y(J),Z(K))- XM ))
RRMAXY = DMAX1(RRMAXY,DABS(YY(X(I),Y(J),Z(K))- YM ))
40 CONTINUE
50 CONTINUE
60 CONTINUE
HIGHX = X(IMAX)
HIGHY = Y(JMAX)
IMAX = 3 - IMAX
JMAX = 3 - JMAX
RLOWX = X(IMAX)
RLOWY = Y(JMAX)
DO 250 IDIR = IL,IH
DO 70 I = 1,1025
MASK(1,I) = 780
MASK(2,I) = -1
70 CONTINUE
XH = (RLOWX - HIGHX)/DFLOAT(N)
YH = (RLOWY - HIGHY)/DFLOAT(M)
C DETERMINE THE DESIRED DIRECTION OF THE LINES ON THE SURFACE
IF(IDIR.NE.2) GO TO 80
XH = (RLOWX - HIGHX)/DFLOAT(M)
YH = (RLOWY - HIGHY)/DFLOAT(N)
C SCALING
80 SCX = 511.0D0/RRMAXX
SCY = 389.0D0/RRMAXY
C
C IF A UNIFORM SCALING IS DESIRED ,REMOVE THE C FROM THE
C FOLLOWING TWO CARDS &
C
IF(SCX.GT.SCY) SCX = SCY
SCY = SCX
C
DO 240 I = 1,NP1
C COMPUTE A LINE
TI = I - 1
XI = HIGHX + TI*XH
IF(I.EQ.1) GO TO 90
C COMPUTE THE BEGIN AND END SEGMENTS OF EACH LINE
ICORD(1,1) = ICORD(1,2)
ICORD(2,1) = ICORD(2,2)
ICORD(1,MP3) = ICORD(1,MP2)
ICORD(2,MP3) = ICORD(2,MP2)
90 DO 110 J = 2,MP2
TJ = J - 2
YI = HIGHY + TJ*YH
IF(IDIR.NE.2) GO TO 100
YI = HIGHY + TI*YH
XI = HIGHX + TJ*XH
100 CALL FUN(XI,YI,ZI)
ICORD(1,J) = (XX(XI,YI,ZI) - XM)*SCX + 513.0D0
ICORD(2,J) = (YY(XI,YI,ZI) - YM)*SCY + 391.0D0
110 CONTINUE
IF(I.NE.1) GO TO 120
ICORD(1,1) = ICORD(1,2)
ICORD(2,1) = ICORD(2,2)
ICORD(1,MP3) = ICORD(1,MP2)
ICORD(2,MP3) = ICORD(2,MP2)
120 INDF = 1
IF(IFPLT.LT.0) INDF = MP3
C
C UP TO STATEMENT 190 ,A LINE IS DRAWN ,WITH THE HIDDEN
C PARTS NOT SHOWN .
IXO = ICORD(1,INDF)
IYO = ICORD(2,INDF)
C
IXOI=INDF
C
IPLT = 0
IF(MASK(2,IXO).LT.IYO) IPLT = 2
IF(MASK(1,IXO).GT.IYO) IPLT = 1
DO 190 JJ = 2,MP3
J = JJ
IF(IFPLT.LT.0) J = MP3 - JJ + 1
IXN = ICORD(1,J)
IYN = ICORD(2,J)
C
IXNI=J
C
IPLT1 = 0
IF(MASK(2,IXN).LT.IYN) IPLT1 = 2
IF(MASK(1,IXN).GT.IYN) IPLT1 = 1
C THE WHOLE SEGMENT IS HIDDEN
IF(IPLT1.EQ.0.AND.IPLT.EQ.0) GO TO 180
C THE SEGMENT INTERSECTS WITH ONE EDGE .DETERMINE THE
C INTERSECTION POINT BY LINEAR INTERPOLATION .
IF(IPLT1.EQ.0.OR.IPLT.EQ.0) GO TO 160
C THE SEGMENT INTERSECTS WITH THE TWO EDGES .
IF(IPLT1.NE.IPLT) GO TO 140
C THE WHOLE SEGMENT IS VISIBLE .
C
130 CALL IPLOT(ICORD(1,IXOI),ICORD(2,IXOI),
1 ICORD(1,IXNI),ICORD(2,IXNI))
C
GO TO 180
140 IF(MASK(1,IXO).GT.IYO.AND.MASK(2,IXO).LT.IYO) IPLT = IPLT1
IF(MASK(1,IXN).GT.IYN.AND.MASK(2,IXN).LT.IYN) IPLT1 = IPLT
IF(IPLT.EQ.IPLT1) GO TO 130
IFL = 1
IHPLT1 = IPLT1
IPLT1 = 0
GO TO 160
150 IPLT1 = IHPLT1
IFL = 0
160 IT = IPLT + IPLT1
A1 = IYO - IYN
A2 = MASK(IT,IXO) - MASK(IT,IXN)
B1 = IXN - IXO
C1 = DFLOAT(IXN)*DFLOAT(IYO) - DFLOAT(IXO)*DFLOAT(IYN)
C2 = DFLOAT(IXN)*DFLOAT(MASK(IT,IXO))
C2 = C2 - DFLOAT(IXO)*DFLOAT(MASK(IT,IXN))
DDD = B1*(A1-A2)
IF(DDD.EQ.0.) GO TO 130
C
XI = B1*(C1 - C2)/DDD
YI = (A1*C2 - A2*C1)/DDD
C
IF(IPLT.NE.0) GO TO 170
C DRAW THE VISIBLE PART OF THE SEGMENT .
C
CALL IPLOT(XI,YI,ICORD(1,IXNI),ICORD(2,IXNI))
C
GO TO 180
C
170 CALL IPLOT(ICORD(1,IXOI),ICORD(2,IXOI),XI,YI)
C
180 IPLT = IPLT1
IF(IFL.EQ.1) GO TO 150
IXO = IXN
IYO = IYN
C
IXOI=IXNI
C
190 CONTINUE
C
C UPDATE THE ARRAY MASK ,CONTAINING THE EDGES OF THE
C VISIBILITY AREA .
C
IFPLT = -IFPLT
INDXO = ICORD(1,1)
INDYO = ICORD(2,1)
DO 230 J =2,MP3
INDXN = ICORD(1,J)
INDYN = ICORD(2,J)
IF(INDXO.NE.INDXN) GO TO 200
MASK(1,INDXN) = MIN0(MASK(1,INDXN),INDYN)
MASK(2,INDXN) = MAX0(MASK(2,INDXN),INDYN)
GO TO 220
200 INDO = MIN0(INDXO,INDXN)
INDN = MAX0(INDXO,INDXN) - 1
DO 210 K = INDO,INDN
RINTP = DFLOAT(K)*DFLOAT(INDYO-INDYN)
RINTP = RINTP + DFLOAT(INDXO)*DFLOAT(INDYN)
RINTP = RINTP - DFLOAT(INDXN)*DFLOAT(INDYO)
IINTP = RINTP/(DFLOAT(INDXO-INDXN)) + 0.5
MASK(1,K) = MIN0(MASK(1,K),IINTP)
MASK(2,K) = MAX0(MASK(2,K),IINTP)
210 CONTINUE
INDXO = INDXN
220 INDYO = INDYN
230 CONTINUE
240 CONTINUE
C END OF THE PICTURE .
250 CONTINUE
RETURN
END