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decuslib10-04
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43,50344/plot3.for
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SUBROUTINE PLTSS (Z1,ZE,Z2,NX,MX,NY)
C [SOUTHERN STEREOPAIR]
C PROGRAM TO PRODUCE TWO PERSPECTIVE DRAWINGS OF A FUNCTION
C DEFINED IN A RECTANGULAR ARRAY. THE DRAWINGS ARE OFFSET
C IN A MANNER SUITABLE FOR THEIR USE AS A STEREOPAIR.
C ZE ARRAY OF FUNCTION VALUES
C Z1,Z2 RANGE OF FUNCTION VALUES
C NX ACTUAL LENGTH OF COLUMNS
C MX MAXIMUM LENGTH OF COLUMNS
C NY ACTUAL LENGTH OF ROWS
C [06-OCT-74]
EXTERNAL PLTLH,PLTRH
DIMENSION ZE(1)
CALL PLTFR
CALL VISNH
CALL VISDS (Z1,ZE,Z2,1,NX,MX,1,NY,NY,0.1,0.25,-1,1,PLTLH)
CALL VISNH
CALL VISDS (Z1,ZE,Z2,1,NX,MX,1,NY,NY,0.1,0.25, 1,1,PLTRH)
CALL PLTEJ
RETURN
END
SUBROUTINE PLTSV (FU,NP,NT,S,O,PR,PL)
C [SPHERICAL VIEW]
C PROGRAM TO PRODUCE A PERSPECTIVE DRAWING OF A SINGLE VALUED
C FUNCTION DEFINED OVER A SPHERICAL SURFACE, SO AS TO EXHIBIT
C THE ARCS OF LATITUDE AND LONGITUDE.
C FU(NP,NT) ARRAY OF FUNCTION VALUES
C NP NUMBER (=2*N) OF POINTS ON ONE LATITUDE
C S S=1, GRAPH FU POSITIVE; S=-1, GRAPH FU NEGATIVE
C NT NUMBER OF POINTS ON ONE LONGITUDE
C O(3,3) ORTHOGONAL ROTATION MATRIX
C PR PROJECTION SUBROUTINE
C PL PEN MOVEMENT SUBROUTINE
C [15-MAY-75]
EXTERNAL PR,PL
LOGICAL B,C
DIMENSION FU(1),O(3,3)
NH=NP/2
CALL VISNP (PH,TH,JP,IT,NP,NT,O)
IF (TH.GT.(1.57079)) GO TO 10
I1=1
I2=IT
I3=IT
I4=NT
S1= 1.0
S2=-1.0
GO TO 12
10 I1=IT
I2=NT
I3=1
I4=IT
S1=-1.0
S2= 1.0
12 J1=JP
J2=JP+NH
J3=JP-NH
J4=JP
CALL PR (R,P,0.1,TH,PH+0.05,O)
B=((-0.25).LT.P).AND.(P.LE.(0.25))
C=.NOT.B
CALL VISNH
CALL VISSS (FU,J1,J2,NP,I1,I2,NT,1,-1,S1,B,S,O,PR,PL)
CALL VISSS (FU,J1,J2,NP,I1,I2,NT,1, 1,S2,B,S,O,PR,PL)
CALL VISSS (FU,J1,J2,NP,I3,I4,NT,1, 1,S2,B,S,O,PR,PL)
CALL VISSS (FU,J1,J2,NP,I3,I4,NT,1,-1,S1,B,S,O,PR,PL)
CALL VISNH
CALL VISSS (FU,J3,J4,NP,I1,I2,NT,-1,-1,S1,C,S,O,PR,PL)
CALL VISSS (FU,J3,J4,NP,I1,I2,NT,-1, 1,S2,C,S,O,PR,PL)
CALL VISSS (FU,J3,J4,NP,I3,I4,NT,-1, 1,S2,C,S,O,PR,PL)
CALL VISSS (FU,J3,J4,NP,I3,I4,NT,-1,-1,S1,C,S,O,PR,PL)
RETURN
END
SUBROUTINE PLTSW (Z1,ZE,Z2,NX,NY,PL)
C [SOUTHWEST VIEW]
C ZE(NX,NY) ARRAY OF FUNCTION VALUES
C Z1,Z2 RANGE OF FUNCTION VALUES
C PL PEN MOVEMENT SUBROUTINE
C [10-MAY-75]
EXTERNAL PL
DIMENSION ZE(1)
CALL VISNH
CALL VISDS (Z1,ZE,Z2,1,NX,NX,1,NY,NY,0.2,0.2,1,1,PL)
RETURN
END
C ------------------------------------------------------------------
SUBROUTINE PLTTG (N)
C [TRIANGULAR GRID]
C PLTTG (N) SETS UP A TRIANGULAR GRID WITH N GRID INTERVALS.
C [14-APR-73]
DATA Z,U/0.0,1.0/
IF (N.LE.0) RETURN
CALL PLTTP (U,Z,Z,.FALSE.)
I=0
10 A=FLOAT(N-I)
B=FLOAT(I)
CALL PLTTP (A,B,Z,.TRUE.)
CALL PLTTP (A,Z,B,.TRUE.)
CALL PLTTP (Z,A,B,.TRUE.)
CALL PLTTP (B,A,Z,.TRUE.)
CALL PLTTP (B,Z,A,.TRUE.)
CALL PLTTP (Z,B,A,.TRUE.)
CALL PLTTP (A,B,Z,.TRUE.)
I=I+1
IF (N-I.GE.I) GO TO 10
CALL PLTTP (U,U,U,.FALSE.)
RETURN
END
C ------------------------------------------------------------------
SUBROUTINE PLTTH (X,Y,P)
C [TOP HALF]
C SCALE THE CARTESIAN COORDINATES X,Y SO AS TO PLACE A GRAPH
C IN THE TOP HALF OF A PLOTTER PAGE.
C [20-APR-74]
LOGICAL P
DATA HX,HY/4.50,3.25/
CALL PLTMS (HX*Y,2.0*HY*(0.5-X),P)
RETURN
END
SUBROUTINE PLTTP (X,Y,Z,P)
C [TRIANGULAR POINT]
C PLTTP (X,Y,Z,P) INSERTS A POINT ON A TRIANGULAR GRAPH
C [14-APR-73]
LOGICAL P
S=X+Y+Z
EX=(3.5*(Y-X))/S
WY=(-2.02*(X+Y)+4.04*Z)/S
CALL PLTMC (EX,WY,P)
RETURN
END
C ------------------------------------------------------------------
SUBROUTINE PLTTR (X,Y,P)
C [TRIANGULAR ]
C TAKING X,Y AS TWO OF THREE HOMOGENEOUS COORDINATES WITH
C X+Y+Z=1, CALCULATE THE PLANAR EQUIVALENT FOR GRAPHING PURPOSES
C [07-JUN-75]
LOGICAL P
CALL PLTCA (0.500*(1.0-X+Y),0.866*(1.0-X-Y),(P.AND.(X+Y.LE.1.0)))
RETURN
END
C ------------------------------------------------------------------
SUBROUTINE PLTTV (Z1,ZE,Z2,N,M,PL)
C [TRIANGULAR VIEW]
C PROGRAM TO PRODUCE A PERSPECTIVE DRAWING OF A FUNCTION DEFINED
C OVER THE UNIT TRIANGLE IN TERMS OF HOMOGENEOUS COORDINATES. THE
C FUNCTION VALUES OCCUPY THE LOWER TRIANGULAR PORTION OF THE SQUARE
C MATRIX ZE(M,M), OF WHICH ONLY THE FRAGMENT ZE(N,N) IS TO BE DRAWN.
C IN GENERATING THE DRAWING, THE VALUES IN ZE WILL BE SCALED TO THE
C RANGE Z1,Z2. PL IS A PEN MOVEMENT SUBROUTINE, PERHAPS PLTCA.
C [11-MAY-75]
EXTERNAL PL
DIMENSION ZE(1)
CALL VISNH
CALL VISTS (Z1,ZE,Z2,N,M,PL)
RETURN
END
SUBROUTINE PLTUR (XA,X1,DX,X2,XB,YA,Y1,DY,Y2,YB,W,PL)
C [UNIT RETICLE]
C COVER THE PLOTTER PAGE WITH A NET OF FIDUCIAL MARKS INDICATING
C UNIT INTERVALS OF DATA.
C (XA,XB) X-VALUES AT X-MARGINS
C (X1,X2) X-INTERVAL TO BE RETICLED
C DX X-DISTANCE BETWEEN CENTERS OF FIDUCIAL MARKS
C (YA,YB) Y-VALUES AT Y-MARGINS
C (Y1,Y2) Y-INTERVAL TO BE RETICLED
C DY Y-DISTANCE BETWEEN CENTERS OF FIDUCIAL MARKS
C W WIDTH OF FIDUCIAL MARK
C PL PEN MOVEMENT SUBROUTINE
C DX AND DY MAY BE SIGNED OR MAY BE ABSOLUTE VALUES, LIKEWISE
C THE X-, AND Y-INTERVALS MAY BE EITHER INCREASING OR DECREASING.
C PLTUR ASSUMES THE UNIT SQUARE FOR ITS PAGE FORMAT, SO THAT
C PL=PLTCA IS A SUITABLE ARGUMENT.
C [05-JAN-75]
EXTERNAL PL
EX(X)=XS*(X-XA)
WY(Y)=YS*(Y-YA)
XS=1.0/(XB-XA)
YS=1.0/(YB-YA)
D=SIGN(DX,XB-XA)
E=SIGN(DY,YB-YA)
S=SIGN(1.0,D)
T=SIGN(1.0,E)
S1=S*X1
S2=S*X2
T1=T*Y1
X=X2
Y=Y2
10 CALL PLTFM (EX(X),WY(Y),W,PL)
X=X-D
IF (((S*X).GE.S1).AND.((S*X).LE.S2)) GO TO 10
D=-D
X=X-D
Y=Y-E
IF ((T*Y).GE.T1) GO TO 10
RETURN
END
SUBROUTINE PVIDS (Z1,ZE,Z2,J1,J2,MX,I1,I2,MY,US,VS,L,M,S,PL)
C [DIAGONAL SEQUENCE]
C ZE(MX,MY) ARRAY OF FUNCTION VALUES
C (Z1,Z2) SPAN OF Z VALUES
C J1,J2 RANGE OF X (HORIZONTAL COORDINATE)
C I1,I2 RANGE OF Y (DEPTH COORDINATE)
C US,VS TOTAL SHEARS IN U AND V DIRECTIONS (MAXIMUM=1.0)
C L DIRECTION OF VIEW AND INCREMENT (+:WEST, -:EAST)
C M DIRECTION OF VIEW AND INCREMENT (+:SOUTH, -:NORTH)
C S =1.0, PLOT POSITIVE PART; =-1.0, PLOT NEGATIVE PART
C PL PEN MOVEMENT SUBROUTINE, USUALLY PLTCA
C [19-MAY-75]
EXTERNAL PL
LOGICAL P(501)
DIMENSION ZE(1),U(501),V(501)
DATA MK/501/
NL=ISIGN(1,L)
NM=ISIGN(1,M)
N=NL*NM
IL=I1-IABS(M)
IU=I2+IABS(M)
MM=M*MX
NN=1
TE=0.5*FLOAT(NL+1)
ZS=(1.0-VS)/(Z2-Z1)
DUI=-(FLOAT(NL)*US)/FLOAT(MY-1)
EUI=DUI*FLOAT(M)
DUJ=(1.0-US)/FLOAT(MX-1)
EUJ=DUJ*FLOAT(L)
DVI=VS/FLOAT(MY-1)
EVI=DVI*FLOAT(M)
I0=(I2+I1-NM*(I2-I1))/2+M
J0=(J2+J1-NL*(J2-J1))/2
K0=((MK+1)*(1-N))/2
10 K=K0
I=MAX0(MIN0(I0,IU),IL)
J=J0
IX=J+(I-1)*MX
EU=TE*US+DUI*FLOAT(I-1)+DUJ*FLOAT(J-1)
VE= DVI*FLOAT(I-1)
20 IF ((I.LT.I1).OR.(I.GT.I2)) GO TO 22
K=MAX0(MIN0(K+N,MK),1)
U(K)=EU
V(K)=VE+ZS*(ABS(ZE(IX))-Z1)
P(K)=(S*ZE(IX).GE.0.0)
22 I=I-M
IX=IX-MM
EU=EU-EUI
VE=VE-EVI
IF ((I.LT.I1).OR.(I.GT.I2)) GO TO 30
K=MAX0(MIN0(K+N,MK),1)
U(K)=EU
V(K)=VE+ZS*(ABS(ZE(IX))-Z1)
P(K)=(S*ZE(IX).GE.0.0)
J=J+L
IX=IX+L
EU=EU+EUJ
IF ((J.GE.J1).AND.(J.LE.J2)) GO TO 20
30 KK=(K+1-N*(K-1))/2
CALL VISCH (U(KK),V(KK),P(KK),(MK+1-N*(MK-2*K+1))/2,NN,PL)
NN=-NN
I0=I0+M
IF ((I0.GE.IL).AND.(I0.LE.IU)) GO TO 10
J0=J0+L
IF ((J0.GE.J1).AND.(J0.LE.J2)) GO TO 10
RETURN
END
C ------------------------------------------------------------------
SUBROUTINE PVIIS (Z1,ZE,Z2,J1,J2,MX,I1,I2,MY,O,S,PL)
C [INCLINED SEQUENCE]
C ZE(MX,MY) ARRAY OF FUNCTION VALUES
C (Z1,Z2) SPAN OF Z VALUES
C J1,J2 RANGE OF X (HORIZONTAL COORDINATE)
C I1,I2 RANGE OF Y (DEPTH COORDINATE)
C O(3,3) ORTHOGONAL MATRIX DEFINING INCLINATION
C S =1.0, PLOT POSITIVE; =-1.0, PLOT NEGATIVE
C PL PEN MOVEMENT SUBROUTINE, USUALLY PLTCA
C [31-MAY-75]
EXTERNAL PL
LOGICAL P(501)
DIMENSION O(3,3),ZE(1),U(501),V(501)
DATA MK/501/
PR(I)=0.667*(O(1,I)*EU+O(2,I)*VE+O(3,I)*UU)+0.5
L=-IFIX(SIGN(1.0,O(2,1)))
M= IFIX(SIGN(1.0,O(1,1)))
NL=ISIGN(1,L)
NM=ISIGN(1,M)
N=NL*NM
IL=I1-IABS(M)
IU=I2+IABS(M)
MM=M*MX
NN=1
TE=0.5*FLOAT(NL+1)
ZS=1.0/(Z2-Z1)
DUJ=1.0/FLOAT(MX-1)
EUJ=DUJ*FLOAT(L)
DVI=1.0/FLOAT(MY-1)
EVI=DVI*FLOAT(M)
I0=(I2+I1-NM*(I2-I1))/2+M
J0=(J2+J1-NL*(J2-J1))/2
K0=((MK+1)*(1-N))/2
10 K=K0
I=MAX0(MIN0(I0,IU),IL)
J=J0
IX=J+(I-1)*MX
EU=DUJ*FLOAT(J-1)-0.5
VE=DVI*FLOAT(I-1)-0.5
20 IF ((I.LT.I1).OR.(I.GT.I2)) GO TO 22
K=MAX0(MIN0(K+N,MK),1)
UU=ZS*(ABS(ZE(IX))-Z1)
U(K)=PR(1)
V(K)=PR(2)
P(K)=(S*ZE(IX).GE.0.0)
22 I=I-M
IX=IX-MM
VE=VE-EVI
IF ((I.LT.I1).OR.(I.GT.I2)) GO TO 30
K=MAX0(MIN0(K+N,MK),1)
UU=ZS*(ABS(ZE(IX))-Z1)
U(K)=PR(1)
V(K)=PR(2)
P(K)=(S*ZE(IX).GE.0.0)
J=J+L
IX=IX+L
EU=EU+EUJ
IF ((J.GE.J1).AND.(J.LE.J2)) GO TO 20
30 KK=(K+1-N*(K-1))/2
CALL VISCH (U(KK),V(KK),P(KK),(MK+1-N*(MK-2*K+1))/2,NN,PL)
NN=-NN
I0=I0+M
IF ((I0.GE.IL).AND.(I0.LE.IU)) GO TO 10
J0=J0+L
IF ((J0.GE.J1).AND.(J0.LE.J2)) GO TO 10
RETURN
END
SUBROUTINE PVIIV (Z1,ZE,Z2,NX,NY,RO,TI,S,PL)
C [INCLINED VIEW]
C THE SURFACE MAY BE TILTED IN THE DIRECTION OF THE OBSERVER AND
C THEN ROTATED ABOUT A VERTICAL AXIS BEFORE GENERATING A HIDDEN
C LINE VIEW. TILT IS ZERO WHEN SEEN DIRECTLY OVERHEAD, 90 DEGREES
C WHEN SEEN DIRECTLY FROM THE GROUND. POSITIVE TILT IS TOWARD THE
C OBSERVER, NEGATIVE TILT AWAY FROM HIM. THE ANGLE OF ROTATION IS
C ZERO WHEN THE Y-AXIS RUNS DIRECTLY AWAY FROM THE OBSERVER, AND
C IS POSITIVE WHEN THE POSITIVE X-AXIS MOVES TOWARD HIM.
C ZE(NX,NY) ARRAY OF FUNCTION VALUES
C Z1,Z2 RANGE OF FUNCTION VALUES
C RO,TI ANGLES OF ROTATION AND TILT, IN DEGREES
C S =1.0, GRAPH POSITIVE; =-1.0, GRAPH NEGATIVE
C PL PEN MOVEMENT SUBROUTINE, USUALLY PLTCA
C [31-MAY-75]
EXTERNAL PL
DIMENSION ZE(1),O(3,3)
CALL PLTEU (O,RO,TI,0.0)
CALL VISNH
CALL PVIIS (Z1,ZE,Z2,1,NX,NX,1,NY,NY,O,S,PL)
RETURN
END
C ------------------------------------------------------------------
SUBROUTINE PVISE (Z1,ZE,Z2,NX,NY,S,PL)
C [SOUTHEAST VIEW]
C PROGRAM TO PRODUCE A PERSPECTIVE DRAWING OF A SINGLE VALUED
C FUNCTION DEFINED IN CARTESIAN COORDINATES, IN SUCH A WAY AS
C TO EXHIBIT ARCS ON THE SURFACE PARALLEL TO THE COORDINATE
C AXES. FOR GREATER CLARITY IN PRESENTATION, THE ENTIRE FIGURE
C MAY BE SHEARED, HORIZONTALLY WHICH WILL GIVE THE ILLUSION OF
C A SIDEWISE PERSPECTIVE, AND VERTICALLY TO GIVE THE ILLUSION OF
C DEPTH AND TO EXPOSE THE REMOTER DETAILS WHICH WOULD OTHERWISE
C BE HIDDEN. SHEARING IS PREFERABLE TO ROTATION WHENEVER IT IS
C DESIRED TO MAINTAIN HORIZONTAL LINES HORIZONTAL.
C ZE(NX,NY) ARRAY OF FUNCTION VALUES
C Z1,Z2 RANGE OF FUNCTION VALUES
C S =1.0, PLOT POSITIVE PART; =-1.0, PLOT NEGATIVE PART
C PL PEN MOVEMENT SUBROUTINE, PERHAPS PLTCA
C [19-MAY-75]
EXTERNAL PL
DIMENSION ZE(1)
CALL VISNH
CALL PVIDS (Z1,ZE,Z2,1,NX,NX,1,NY,NY,0.2,0.2,-1,1,S,PL)
RETURN
END
SUBROUTINE PVISW (Z1,ZE,Z2,NX,NY,S,PL)
C [SOUTHWEST VIEW]
C ZE(NX,NY) ARRAY OF FUNCTION VALUES
C Z1,Z2 RANGE OF FUNCTION VALUES
C S =1.0, PLOT POSITIVE PART; =-1.0, PLOT NEGATIVE PART
C PL PEN MOVEMENT SUBROUTINE
C [20-MAY-75]
EXTERNAL PL
DIMENSION ZE(1)
CALL VISNH
CALL PVIDS (Z1,ZE,Z2,1,NX,NX,1,NY,NY,0.2,0.2,1,1,S,PL)
RETURN
END
C ------------------------------------------------------------------
SUBROUTINE PVITV (Z1,ZE,Z2,N,M,S,PL)
C [TRIANGULAR VIEW]
C PROGRAM TO PRODUCE A PERSPECTIVE DRAWING OF A FUNCTION DEFINED
C OVER THE UNIT TRIANGLE IN TERMS OF HOMOGENEOUS COORDINATES. THE
C FUNCTION VALUES OCCUPY THE UPPER TRIANGULAR PORTION OF THE SQUARE
C MATRIX ZE(M,M), OF WHICH ONLY THE FRAGMENT ZE(N,N) IS TO BE DRAWN.
C IN GENERATING THE DRAWING, THE VALUES IN ZE WILL BE SCALED TO THE
C RANGE Z1,Z2. PL IS A PEN MOVEMENT SUBROUTINE, PERHAPS PLTCA.
C [18-MAY-75]
EXTERNAL PL
DIMENSION ZE(1)
CALL VISNH
CALL PVITS (Z1,ZE,Z2,N,M,S,PL)
RETURN
END
SUBROUTINE PVITS (Z1,ZE,Z2,N,M,S,PL)
C [TRIANGULAR SEQUENCE]
C ZE(M,M) ARRAY OF VALUES
C Z1,Z2 RANGE OF VALUES
C S S=1.0, PLOT POSITIVE; S=-1.0, PLOT NEGATIVE
C PL PEN MOVEMENT SUBROUTINE, PERHAPS PLTCA
C [18-MAY-75]
EXTERNAL PL
LOGICAL P(501)
DIMENSION ZE(1),U(501),V(501)
IX(J,I)=(I-1)*M+J
SC(Z)=ZS*(Z-Z1)
MK=501
HZ=0.35
ZS=(2.0*HZ)/(Z2-Z1)
DU=1.0/FLOAT(N-1)
DV=0.3/FLOAT(N-1)
HU=0.5*DU
VE=0.0
L=N-1
DO 30 I=1,L
K=0
EU=HU*FLOAT(I-1)
DO 10 J=I,N
K=MIN0(K+1,MK)
EF=ZE(IX(J,I))
U(K)=EU
V(K)=VE+SC(ABS(EF))
P(K)=S*EF.GE.0.0
10 EU=EU+DU
CALL VISCH (U,V,P,K,1,PL)
K=0
EU=HU*FLOAT(I-1)
DO 20 J=I,L
K=MIN0(K+1,MK)
EF=ZE(IX(J,I))
U(K)=EU
V(K)=VE+SC(ABS(EF))
P(K)=S*EF.GE.0.0
K=MIN0(K+1,MK)
EF=ZE(IX(J+1,I+1))
U(K)=EU+HU
V(K)=VE+DV+SC(ABS(EF))
P(K)=S*EF.GE.0.0
20 EU=EU+DU
K=MIN0(K+1,MK)
EF=ZE(IX(N,I))
U(K)=EU
V(K)=VE+SC(ABS(EF))
P(K)=S*EF.GE.0.0
CALL VISCH (U,V,P,K,-1,PL)
30 VE=VE+DV
RETURN
END
SUBROUTINE VISBO (X1,T1,B1,M,X0,T0,B0,N0,X,Y,P,N,I,PL)
C [BOUNDS]
C X(N) ARRAY OF ARGUMENTS
C Y(N) ARRAY OF FUNCTION VALUES
C P(N) ARRAY OF VISIBILITY FLAGS
C I DIRECTION OF PEN MOVEMENT (1=FORWARD, -1=BACKWARD)
C PL PEN MOVEMENT SUBROUTINE
C [10-MAY-75]
LOGICAL L,P(1),PO,EQ,VV,VISSL
DIMENSION U(2),X(1),Y(1)
DIMENSION X0(1),T0(1),B0(1),X1(1),T1(1),B1(1)
EQUIVALENCE (U1,U(1)),(U2,U(2))
DATA EP/1.0E-4/
II(J)=MAX0(MIN0(J+I,M),1)
PO(X)=X.GT.EP
EQ(X,Y)=ABS(X-Y).LE.(0.5E-4)
C === INITIALIZATION
IF (N.LE.1) RETURN
J=(N+1-I*(N-1))/2
J1=((M+1)*(1-I))/2
CALL PL (X(J),Y(J),.FALSE.)
IF (N0.LE.1) GO TO 61
S=FLOAT(I)
ET= 1.0
EB=-1.0
L=.TRUE.
K=(1-I)/2
J0=(N0+1-I*(N0-1))/2
Z=X(J)
Z0=X0(J0)
IF (EQ(Z,Z0)) GO TO 32
IF (S*(Z-Z0)) 10,32,20
C --- IF THE FUNCTION IS DEFINED WHILE BOUNDS ARE NOT, THE FUNCTION
C --- IS VISIBLE AND MUST BE COPIED, ESTABLISHING NEW BOUNDS.
10 J1=II(J1)
CALL PL (X(J),Y(J),P(J))
X1(J1)=X(J)
T1(J1)=Y(J)
B1(J1)=Y(J)
J=J+I
IF (EQ(X(J),Z0)) GO TO 30
IF (S*(X(J)-Z0)) 10,30,30
C --- IF BOUNDS, BUT NOT THE FUNCTION, ARE DEFINED, THEY PERSIST.
20 J1=II(J1)
X1(J1)=X0(J0)
T1(J1)=T0(J0)
B1(J1)=B0(J0)
J0=J0+I
IF (EQ(Z,X0(J0))) GO TO 30
IF (S*(Z-X0(J0))) 30,30,20
C === MAIN LOOP
C --- AT A POINT WHERE EITHER THE FUNCTION OR THE BOUNDS ARE
C --- DEFINED, IT MAY BE NECESSARY TO OBTAIN THE OTHER BY LINEAR
C --- INTERPOLATION, UNLESS THEIR POINTS OF DEFINITION COINCIDE.
30 IF ((J.LT.1).OR.(J.GT.N)) GO TO 50
IF ((J0.LT.1).OR.(J0.GT.N0)) GO TO 60
Z=X(J)
Z0=X0(J0)
32 EX=S*AMIN1(S*Z,S*Z0)
WY=VISLI(EX,X,Y,MAX0(MIN0(J+K,N),2))
TO=VISLI(EX,X0,T0,MAX0(MIN0(J0+K,N0),2))
BO=VISLI(EX,X0,B0,MAX0(MIN0(J0+K,N0),2))
IF (EQ(EX,Z0)) J0=J0+I
IF (EQ(EX,Z)) J=J+I
C --- POSSIBLE INTERSECTIONS BETWEEN THE FUNCTION AND THE BOUNDS
C --- MUST BE RECORDED SO AS TO DESCRIBE THE NEW BOUNDS ACCURATELY.
C --- CARE IS NECESSARY TO AVOID TRIVIAL INTERSECTIONS, OR THOSE
C --- WHICH OCCUR AT ENDPOINTS.
TE=AMAX1(WY,TO)
BE=AMIN1(WY,BO)
DT=WY-TO
DB=WY-BO
VT=ET+DT
VB=EB+DB
IF (L) GO TO 46
JJ=0
IF (SIGN(1.0,DT).EQ.SIGN(1.0,ET)) GO TO 41
VT=DT-ET
JJ=JJ+1
U(JJ)=XX-ET*((EX-XX)/(DT-ET))
41 IF (SIGN(1.0,DB).EQ.SIGN(1.0,EB)) GO TO 42
VB=DB-EB
JJ=JJ+1
U(JJ)=XX-EB*((EX-XX)/(DB-EB))
42 IF (JJ.EQ.0) GO TO 44
DO 43 KK=1,JJ
IF ((KK.EQ.1).AND.(JJ.EQ.1)) XI=U1
IF ((KK.EQ.1).AND.(JJ.EQ.2)) XI=S*AMIN1(S*U1,S*U2)
IF (KK.EQ.2) XI=S*AMAX1(S*U1,S*U2)
F=(XI-XX)/(EX-XX)
YI=YY+F*(WY-YY)
CALL PL (XI,YI,((KK.EQ.1).AND.VV))
IF (EQ(XX,XI).OR.EQ(XI,EX)) GO TO 43
IF ((KK.EQ.2).AND.EQ(U1,U2)) GO TO 43
J1=II(J1)
X1(J1)=XI
T1(J1)=TT+F*(TO-TT)
B1(J1)=BB+F*(BO-BB)
43 CONTINUE
44 IF ((J1.LT.2).OR.(J1.GT.M-1)) GO TO 46
IF (.NOT.VISSL(EX,TE,X1,T1,J1+K)) GO TO 46
IF ( VISSL(EX,BE,X1,B1,J1+K)) GO TO 48
46 J1=II(J1)
48 X1(J1)=EX
T1(J1)=TE
B1(J1)=BE
VV=(PO(VT).OR.PO(-VB)).AND.P(J)
CALL PL (EX,WY,VV)
L=.FALSE.
ET=DT
EB=DB
XX=EX
YY=WY
TT=TO
BB=BO
GO TO 30
C === TERMINATION
C --- IF THE FUNCTION IS EXHAUSTED BEFORE THE BOUNDS, COPY THEM.
50 IF ((J0.LT.1).OR.(J0.GT.N0)) GO TO 70
J1=II(J1)
X1(J1)=X0(J0)
T1(J1)=T0(J0)
B1(J1)=B0(J0)
J0=J0+I
GO TO 50
C --- IF THE BOUNDS ARE EXHAUSTED BEFORE THE FUNCTION, COPY THE
C REMAINING PART OF THE FUNCTION, WHICH WILL BE VISIBLE.
60 CALL PL (EX,WY,.FALSE.)
61 IF ((J.LT.1).OR.(J.GT.N)) GO TO 70
CALL PL (X(J),Y(J),P(J))
J1=II(J1)
X1(J1)=X(J)
T1(J1)=Y(J)
B1(J1)=Y(J)
J=J+I
GO TO 61
C --- COPY THE NEW BOUNDS OVER THE OLD ONES, SHIFTING THEM AS NECESSARY.
70 N0=((M+1)*(1-I))/2+I*J1
J1=(J1+1-I*(J1-1))/2
DO 71 J0=1,N0
X0(J0)=X1(J1)
T0(J0)=T1(J1)
B0(J0)=B1(J1)
71 J1=J1+1
RETURN
END
SUBROUTINE VISCH (X,Y,P,N,I,PL)
C [COLORED HORIZON]
C SUBROUTINE WHICH UPDATES THE HORIZONS FOR THE HIDDEN LINE
C SUBROUTINES. THE ACTUAL WORK IS DONE BY VISBO, BUT VISHO
C CONTAINS THE WORK ARRAYS NEEDED IN THE SIMPLEST APPLICATIONS,
C AVOIDING THE NECESSITY TO DEFINE THEM SEPARATELY FOR EACH
C INDIVIDUAL PROGRAM.
C X(N) ARRAY OF ARGUMENTS
C Y(N) ARRAY OF FUNCTION VALUES
C I DIRECTION OF PEN MOVEMENT
C PL PEN MOVEMENT SUBROUTINE
C [10-MAY-75]
EXTERNAL PL
LOGICAL P(1)
DIMENSION X(1),Y(1)
DIMENSION X0(701),T0(701),B0(701)
DIMENSION X1(701),T1(701),B1(701)
COMMON/VIS/ N0
DATA M/701/
CALL VISBO (X1,T1,B1,M,X0,T0,B0,N0,X,Y,P,N,I,PL)
RETURN
END
C ------------------------------------------------------------------
SUBROUTINE VISDC (Z1,ZE,Z2,NZ,NX,MX,NY,MY,US,VS,L,PL)
C [DIAGONAL CONTOURED SEQUENCE]
C ZE(J,I) ARRAY OF FUNCTION VALUES
C (Z1,Z2) SPAN OF Z VALUES
C NX,NY RANGES OF J AND I
C MX,MY MAXIMA ATTAINABLE BY J AND I
C US,VS TOTAL SHEARS IN U AND V DIRECTIONS
C L DIRECTION OF VIEW (1=WEST, -1=EAST)
C PL PEN MOVEMENT SUBROUTINE
C [16-MAY-74]
EXTERNAL PL
DIMENSION ZE(1)
DIMENSION A(501),B(501)
DIMENSION D(501),E(501),G(501)
DIMENSION U(501),V(501),W(501)
DATA M,MK/1,501/
IX(J,I)=(I-1)*MX+J
SC(Z)=ZS*(Z-Z1)
NA=0
ND=0
N=L*M
MM=1
EL=FLOAT(L)
EM=FLOAT(M)
TE=0.5*(EL+1.0)
ZS=(1.0-VS)/(Z2-Z1)
DZ=(Z2-Z1)/FLOAT(NZ-1)
DUI=-(EL*US)/FLOAT(MY-1)
DUJ=(1.0-US)/FLOAT(MX-1)
DVI=VS/FLOAT(MY-1)
I0=(NY+1-M*(NY-3))/2
J0=(NX+1-L*(NX-1))/2
K0=((MK+1)*(1-N))/2
10 K=K0
I=MAX0(MIN0(I0,NY+1),0)
J=J0
EU=TE*US+DUI*FLOAT(I-1)+DUJ*FLOAT(J-1)
VE= DVI*FLOAT(I-1)
20 IF ((I.LT.1).OR.(I.GT.NY)) GO TO 22
K=MAX0(MIN0(K+N,MK),1)
U(K)=EU
V(K)=VE+SC(ZE(IX(J,I)))
22 I=I-M
EU=EU-DUI
VE=VE-EM*DVI
IF ((I.LT.1).OR.(I.GT.NY)) GO TO 30
K=MAX0(MIN0(K+N,MK),1)
U(K)=EU
V(K)=VE+SC(ZE(IX(J,I)))
J=J+L
EU=EU+EL*DUJ
IF ((J.GE.1).AND.(J.LE.NX)) GO TO 20
30 ZI=Z1
DO 60 IZ=1,NZ
K=K0
I=MAX0(MIN0(I0,NY+1),0)
J=J0
EU=TE*US+DUI*FLOAT(I-1)+DUJ*FLOAT(J-1)
VE= DVI*FLOAT(I-1)
40 IF ((I.LT.1).OR.(I.GT.NY)) GO TO 42
K=MAX0(MIN0(K+N,MK),1)
W(K)=VE+SC(ZI)
42 I=I-M
EU=EU-DUI
VE=VE-EM*DVI
IF ((I.LT.1).OR.(I.GT.NY)) GO TO 50
K=MAX0(MIN0(K+N,MK),1)
W(K)=VE+SC(ZI)
J=J+L
EU=EU+EL*DUJ
IF ((J.GE.1).AND.(J.LE.NX)) GO TO 40
50 CALL VISRB (A,B,NA,MK,U,V,K,U,W,K,-1.0)
CALL VISHH (D,E,G,ND,A,B,NA,MM,PL)
MM=-MM
60 ZI=ZI+DZ
I0=I0+M
IF ((I0.GE.0).AND.(I0.LE.NY+1)) GO TO 10
J0=J0+L
IF ((J0.GE.1).AND.(J0.LE.NX)) GO TO 10
RETURN
END
SUBROUTINE VISDO (Z1,S1,S2,Z2,NX,MX,NY,MY,US,VS,L,IS,PL)
C [DOUBLE SURFACE]
C S1,S2 ARRAYS CONTAINING THE TWO SURFACES
C Z1,Z2 SPAN OF SURFACE VALUES
C MX,MY COMMON DIMENSION OF THE ARRAYS S1 AND S2
C NX,NY SECTIONS OF S1 AND S2 ACTUALLY USED
C US,VS TOTAL SHEARS IN U AND V DIRECTIONS
C L DIRECTION OF VIEW (1=WEST, -1=EAST)
C IS SEPARATION OPTION (1=YES , -1=NO)
C PL PEN MOVEMENT SUBROUTINE
C [15-MAY-74]
EXTERNAL PL
LOGICAL P,Q
DIMENSION S1(1),S2(1)
DIMENSION X1(351),T1(351),B1(351)
DIMENSION X2(351),T2(351),B2(351)
DIMENSION D(351),E(351),G(351),H(351)
DIMENSION A(351),B(351)
DIMENSION U(201),V1(201),V2(201)
DATA M,MK,MA/1,201,351/
IX(J,I)=(I-1)*MX+J
SC(Z)=ZS*(Z-Z1)
N1=0
N2=0
N=L*M
EF=1.0-VS
EL=FLOAT(L)
EM=FLOAT(M)
ZS=EF/(Z2-Z1)
TE=0.5*(EL+1.0)
DUI=-(EL*US)/FLOAT(MY-1)
DUJ=(1.0-US)/FLOAT(MX-1)
DVI=VS/FLOAT(MY-1)
I0=(NY+1-M*(NY-3))/2
J0=(NX+1-L*(NX-1))/2
K0=((MK+1)*(1-N))/2
10 K=K0
I=MAX0(MIN0(I0,NY+1),0)
J=J0
EU=TE*US+DUI*FLOAT(I-1)+DUJ*FLOAT(J-1)
VE= DVI*FLOAT(I-1)
20 IF ((I.LT.1).OR.(I.GT.NY)) GO TO 22
K=MAX0(MIN0(K+N,MK),1)
U(K)=EU
V1(K)=VE+SC(S1(IX(J,I)))
V2(K)=VE+SC(S2(IX(J,I)))
22 I=I-M
EU=EU-DUI
VE=VE-EM*DVI
IF ((I.LT.1).OR.(I.GT.NY)) GO TO 30
K=MAX0(MIN0(K+N,MK),1)
U(K)=EU
V1(K)=VE+SC(S1(IX(J,I)))
V2(K)=VE+SC(S2(IX(J,I)))
J=J+L
EU=EU+EL*DUJ
IF ((J.GE.1).AND.(J.LE.NX)) GO TO 20
30 P=L.LT.0
Q=L.GT.0
IF (P) KK=MK-K+1
IF (Q) CALL VISRB (A,B,NA,MA,U,V1,K,U,V2,K,1.0)
IF (P) CALL VISRB (A,B,NA,MA,U(K),V1(K),KK,U(K),V2(K),KK,1.0)
IF (Q) CALL VISRB (G,H,NG,MA,U,V1,K,U,V2,K,-1.0)
IF (P) CALL VISRB (G,H,NG,MA,U(K),V1(K),KK,U(K),V2(K),KK,-1.0)
IF (IS.LT.0) GO TO 40
DO 36 II=1,NA
36 B(II)=EF*B(II)+VS
DO 38 II=1,NG
38 H(II)=EF*H(II)
40 CALL VISRB (D,E,ND,MA,A,B,NA,X1,T1,N1,1.0)
CALL VISHH (X2,T2,B2,N2,D,E,ND,1,PL)
CALL VISRB (D,E,ND,MA,G,H,NG,X2,B2,N2,-1.0)
CALL VISHH (X1,T1,B1,N1,D,E,ND,-1,PL)
I0=I0+M
IF ((I0.GE.0).AND.(I0.LE.NY+1)) GO TO 10
J0=J0+L
IF ((J0.GE.1).AND.(J0.LE.NX)) GO TO 10
RETURN
END
C ------------------------------------------------------------------
SUBROUTINE VISDS (Z1,ZE,Z2,J1,J2,MX,I1,I2,MY,US,VS,L,M,PL)
C [DIAGONAL SEQUENCE]
C ZE(MX,MY) ARRAY OF FUNCTION VALUES
C (Z1,Z2) SPAN OF Z VALUES
C J1,J2 RANGE OF X (HORIZONTAL COORDINATE)
C I1,I2 RANGE OF Y (DEPTH COORDINATE)
C US,VS TOTAL SHEARS IN U AND V DIRECTIONS (MAXIMUM=1.0)
C L DIRECTION OF VIEW AND INCREMENT (+:WEST, -:EAST)
C M DIRECTION OF VIEW AND INCREMENT (+:SOUTH, -:NORTH)
C PL PEN MOVEMENT SUBROUTINE, USUALLY PLTCA
C [10-MAY-75]
EXTERNAL PL
DIMENSION ZE(1),U(501),V(501)
DATA MK/501/
NL=ISIGN(1,L)
NM=ISIGN(1,M)
N=NL*NM
IL=I1-IABS(M)
IU=I2+IABS(M)
MM=M*MX
NN=1
TE=0.5*FLOAT(NL+1)
ZS=(1.0-VS)/(Z2-Z1)
DUI=-(FLOAT(NL)*US)/FLOAT(MY-1)
EUI=DUI*FLOAT(M)
DUJ=(1.0-US)/FLOAT(MX-1)
EUJ=DUJ*FLOAT(L)
DVI=VS/FLOAT(MY-1)
EVI=DVI*FLOAT(M)
I0=(I2+I1-NM*(I2-I1))/2+M
J0=(J2+J1-NL*(J2-J1))/2
K0=((MK+1)*(1-N))/2
10 K=K0
I=MAX0(MIN0(I0,IU),IL)
J=J0
IX=J+(I-1)*MX
EU=TE*US+DUI*FLOAT(I-1)+DUJ*FLOAT(J-1)
VE= DVI*FLOAT(I-1)
20 IF ((I.LT.I1).OR.(I.GT.I2)) GO TO 22
K=MAX0(MIN0(K+N,MK),1)
U(K)=EU
V(K)=VE+ZS*(ZE(IX)-Z1)
22 I=I-M
IX=IX-MM
EU=EU-EUI
VE=VE-EVI
IF ((I.LT.I1).OR.(I.GT.I2)) GO TO 30
K=MAX0(MIN0(K+N,MK),1)
U(K)=EU
V(K)=VE+ZS*(ZE(IX)-Z1)
J=J+L
IX=IX+L
EU=EU+EUJ
IF ((J.GE.J1).AND.(J.LE.J2)) GO TO 20
30 KK=(K+1-N*(K-1))/2
CALL VISHO (U(KK),V(KK),(MK+1-N*(MK-2*K+1))/2,NN,PL)
NN=-NN
I0=I0+M
IF ((I0.GE.IL).AND.(I0.LE.IU)) GO TO 10
J0=J0+L
IF ((J0.GE.J1).AND.(J0.LE.J2)) GO TO 10
RETURN
END