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sort.f
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sort.f
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SUBROUTINE ISHELL1(N, A)
!
! sorts integer vector A. program from ch 8.2, shells method
! for quicksorting, numerical recipes
!
INTEGER*4, INTENT(INOUT) :: A(N)
INTEGER*4, INTENT(IN) :: N
!
!----------------------------------------------------------------------!
!
!.... determine starting increment
INC=1
1 INC=3*INC+1
IF(INC.LE.N) GOTO 1
!
!.... loop over the partial sorts
2 CONTINUE
INC=INC/3
!........ outer loop of straight insertion
DO 11 I=INC+1,N
ITEMP = A(I)
J = I
!
!........... inner loop of straight insertion
3 IF (A(J-INC).GT.ITEMP) THEN
A(J) = A(J-INC)
J=J-INC
IF (J.LE.INC) GOTO 4
GOTO 3
ENDIF
4 A(J) = ITEMP
11 CONTINUE
IF (INC.GT.1) GOTO 2
RETURN
END
! !
!======================================================================!
! !
SUBROUTINE ISHELL2(N, A,B)
!
! sorts integer vector A. program from ch 8.2, shells method
! for quicksorting, numerical recipes
!
INTEGER*4 A(N),B(N)
!
!----------------------------------------------------------------------!
!
!.... determine starting increment
INC=1
1 INC=3*INC+1
IF(INC.LE.N) GOTO 1
!
!.... loop over the partial sorts
2 CONTINUE
INC=INC/3
!........ outer loop of straight insertion
DO 11 I=INC+1,N
ITEMP = A(I)
ITEMP2 = B(I)
J = I
!
!........... inner loop of straight insertion
3 IF (A(J-INC).GT.ITEMP) THEN
A(J) = A(J-INC)
B(J) = B(J-INC)
J=J-INC
IF (J.LE.INC) GOTO 4
GOTO 3
ENDIF
4 A(J) = ITEMP
B(J) = ITEMP2
11 CONTINUE
IF (INC.GT.1) GOTO 2
RETURN
END
! !
!======================================================================!
! !
SUBROUTINE SHELLID4(N, A,B,C,D,E)
!
! sorts integer vectors. program from ch 8.2, shells method
! for quicksorting, numerical recipes
!
! INPUT MEANING
! ----- -------
! A unsorted list to sort on
! N length of vectors
!
!.... formal variables
REAL*8 A(N), B(N)
INTEGER*4 C(N), D(N), E(N)
REAL*8 TEMP, TEMP2
INTEGER*4 TEMP3, TEMP4, TEMP5
!
!----------------------------------------------------------------------!
!
!.... determine starting increment
INC=1
1 INC=3*INC+1
IF(INC.LE.N) GOTO 1
!
!.... loop over the partial sorts
2 CONTINUE
INC=INC/3
!........ outer loop of straight insertion
DO 11 I=INC+1,N
TEMP = A(I)
TEMP2 = B(I)
TEMP3 = C(I)
TEMP4 = D(I)
TEMP5 = E(I)
J = I
!
!........... inner loop of straight insertion
3 IF (A(J-INC).GT.TEMP) THEN
A(J) = A(J-INC)
B(J) = B(J-INC)
C(J) = C(J-INC)
D(J) = D(J-INC)
E(J) = E(J-INC)
J=J-INC
IF (J.LE.INC) GOTO 4
GOTO 3
ENDIF
4 A(J) = TEMP
B(J) = TEMP2
C(J) = TEMP3
D(J) = TEMP4
E(J) = TEMP5
11 CONTINUE
IF (INC.GT.1) GOTO 2
RETURN
END
! !
!======================================================================!
! !
SUBROUTINE RSHELL1(N, A)
!
! sorts integer vector A. program from ch 8.2, shells method
! for quicksorting, numerical recipes
!
INTEGER*4, INTENT(IN) :: N
REAL*4, INTENT(INOUT) :: A(N)
!
!----------------------------------------------------------------------!
!
!.... determine starting increment
INC=1
1 INC=3*INC+1
IF(INC.LE.N) GOTO 1
!
!.... loop over the partial sorts
2 CONTINUE
INC=INC/3
!........ outer loop of straight insertion
DO 11 I=INC+1,N
TEMP = A(I)
J = I
!
!........... inner loop of straight insertion
3 IF (A(J-INC).GT.TEMP) THEN
A(J) = A(J-INC)
J=J-INC
IF (J.LE.INC) GOTO 4
GOTO 3
ENDIF
4 A(J) = TEMP
11 CONTINUE
IF (INC.GT.1) GOTO 2
RETURN
END
! !
!======================================================================!
! !
SUBROUTINE CSHELL1(N, A)
!
! sorts integer vector A. program from ch 8.2, shells method
! for quicksorting, numerical recipes
!
INTEGER*4, INTENT(IN) :: N
COMPLEX*8, INTENT(INOUT) :: A(N)
COMPLEX*8 TEMP
!
!----------------------------------------------------------------------!
!
!.... determine starting increment
INC=1
1 INC=3*INC+1
IF(INC.LE.N) GOTO 1
!
!.... loop over the partial sorts
2 CONTINUE
INC=INC/3
!........ outer loop of straight insertion
DO 11 I=INC+1,N
TEMP = A(I)
J = I
!
!........... inner loop of straight insertion
3 IF (CABS(A(J-INC)).GT.CABS(TEMP)) THEN
A(J) = A(J-INC)
J=J-INC
IF (J.LE.INC) GOTO 4
GOTO 3
ENDIF
4 A(J) = TEMP
11 CONTINUE
IF (INC.GT.1) GOTO 2
RETURN
END
! !
!======================================================================!
! !
SUBROUTINE SHELL4(N, A,B,C,D)
!
! sorts integer vectors. program from ch 8.2, shells method
! for quicksorting, numerical recipes
!
! INPUT MEANING
! ----- -------
! A unsorted list to sort on
! N length of vectors
!
! OUTPUT MEANING
! ------ -------
! A sorted list
! B sorted with A
! C sorted with A
! D sorted with A
!
!.... formal variables
REAL*8 A(N), B(N), C(N), D(N)
REAL*8 TEMP, TEMP2, TEMP3, TEMP4
!
!----------------------------------------------------------------------!
!
!.... determine starting increment
INC=1
1 INC=3*INC+1
IF(INC.LE.N) GOTO 1
!
!.... loop over the partial sorts
2 CONTINUE
INC=INC/3
!........ outer loop of straight insertion
DO 11 I=INC+1,N
TEMP = A(I)
TEMP2 = B(I)
TEMP3 = C(I)
TEMP4 = D(I)
J = I
!
!........... inner loop of straight insertion
3 IF (A(J-INC).GT.TEMP) THEN
A(J) = A(J-INC)
B(J) = B(J-INC)
C(J) = C(J-INC)
D(J) = D(J-INC)
J=J-INC
IF (J.LE.INC) GOTO 4
GOTO 3
ENDIF
4 A(J) = TEMP
B(J) = TEMP2
C(J) = TEMP3
D(J) = TEMP4
11 CONTINUE
IF (INC.GT.1) GOTO 2
RETURN
END
! !
!======================================================================!
! !
SUBROUTINE SHELL5(N, A,B,C,D,E)
!
! sorts integer vectors. program from ch 8.2, shells method
! for quicksorting, numerical recipes
!
! INPUT MEANING
! ----- -------
! A unsorted list to sort on
! N length of vectors
!
! OUTPUT MEANING
! ------ -------
! A sorted list
! B sorted with A
! C sorted with A
! D sorted with A
! E sorted with A
!
!.... formal variables
REAL*8 A(N), B(N), C(N), D(N), E(N)
REAL*8 TEMP, TEMP2, TEMP3, TEMP4, TEMP5
!
!----------------------------------------------------------------------!
!
!.... determine starting increment
INC=1
1 INC=3*INC+1
IF(INC.LE.N) GOTO 1
!
!.... loop over the partial sorts
2 CONTINUE
INC=INC/3
!........ outer loop of straight insertion
DO 11 I=INC+1,N
TEMP = A(I)
TEMP2 = B(I)
TEMP3 = C(I)
TEMP4 = D(I)
TEMP5 = E(I)
J = I
!
!........... inner loop of straight insertion
3 IF (A(J-INC).GT.TEMP) THEN
A(J) = A(J-INC)
B(J) = B(J-INC)
C(J) = C(J-INC)
D(J) = D(J-INC)
E(J) = E(J-INC)
J=J-INC
IF (J.LE.INC) GOTO 4
GOTO 3
ENDIF
4 A(J) = TEMP
B(J) = TEMP2
C(J) = TEMP3
D(J) = TEMP4
E(J) = TEMP5
11 CONTINUE
IF (INC.GT.1) GOTO 2
RETURN
END
! !
!======================================================================!
! !
SUBROUTINE SHELL6(N, A,B,C,D,E,F)
!
! sorts integer vectors. program from ch 8.2, shells method
! for quicksorting, numerical recipes
!
! INPUT MEANING
! ----- -------
! A unsorted list to sort on
! N length of vectors
!
! OUTPUT MEANING
! ------ -------
! A sorted list
! B sorted with A
! C sorted with A
! D sorted with A
! E sorted with A
! F sorted with A
!
!.... formal variables
REAL*8 A(N), B(N), C(N), D(N), E(N), F(N)
REAL*8 TEMP, TEMP2, TEMP3, TEMP4, TEMP5, TEMP6
!
!----------------------------------------------------------------------!
!
!.... determine starting increment
INC=1
1 INC=3*INC+1
IF(INC.LE.N) GOTO 1
!
!.... loop over the partial sorts
2 CONTINUE
INC=INC/3
!........ outer loop of straight insertion
DO 11 I=INC+1,N
TEMP = A(I)
TEMP2 = B(I)
TEMP3 = C(I)
TEMP4 = D(I)
TEMP5 = E(I)
TEMP6 = F(I)
J = I
!
!........... inner loop of straight insertion
3 IF (A(J-INC).GT.TEMP) THEN
A(J) = A(J-INC)
B(J) = B(J-INC)
C(J) = C(J-INC)
D(J) = D(J-INC)
E(J) = E(J-INC)
F(J) = F(J-INC)
J=J-INC
IF (J.LE.INC) GOTO 4
GOTO 3
ENDIF
4 A(J) = TEMP
B(J) = TEMP2
C(J) = TEMP3
D(J) = TEMP4
E(J) = TEMP5
F(J) = TEMP6
11 CONTINUE
IF (INC.GT.1) GOTO 2
RETURN
END
! !
!======================================================================!
! !
SUBROUTINE SHELL9(N, A,B,C,D,E,F,G,H,O)
!
! sorts integer vectors. program from ch 8.2, shells method
! for quicksorting, numerical recipes
!
! INPUT MEANING
! ----- -------
! A unsorted list to sort on
! N length of vectors
!
! OUTPUT MEANING
! ------ -------
! A sorted list
! B sorted with A
! C sorted with A
! D sorted with A
! E sorted with A
!
!.... formal variables
REAL*8 A(N), B(N), C(N), D(N), E(N), F(N), G(N), H(N), O(N)
REAL*8 TEMP, TEMP2, TEMP3, TEMP4, TEMP5, TEMP6, TEMP7, TEMP8,
; TEMP9
!
!----------------------------------------------------------------------!
!
!.... determine starting increment
INC=1
1 INC=3*INC+1
IF(INC.LE.N) GOTO 1
!
!.... loop over the partial sorts
2 CONTINUE
INC=INC/3
!........ outer loop of straight insertion
DO 11 I=INC+1,N
TEMP = A(I)
TEMP2 = B(I)
TEMP3 = C(I)
TEMP4 = D(I)
TEMP5 = E(I)
TEMP6 = F(I)
TEMP7 = G(I)
TEMP8 = H(I)
TEMP9 = O(I)
J = I
!
!........... inner loop of straight insertion
3 IF (A(J-INC).GT.TEMP) THEN
A(J) = A(J-INC)
B(J) = B(J-INC)
C(J) = C(J-INC)
D(J) = D(J-INC)
E(J) = E(J-INC)
F(J) = F(J-INC)
G(J) = G(J-INC)
H(J) = H(J-INC)
O(J) = O(J-INC)
J=J-INC
IF (J.LE.INC) GOTO 4
GOTO 3
ENDIF
4 A(J) = TEMP
B(J) = TEMP2
C(J) = TEMP3
D(J) = TEMP4
E(J) = TEMP5
F(J) = TEMP6
G(J) = TEMP7
H(J) = TEMP8
O(J) = TEMP9
11 CONTINUE
IF (INC.GT.1) GOTO 2
RETURN
END
! !
!======================================================================!
! !
SUBROUTINE ISHELL4(N, A,B,C,D)
!
! sorts integer vectors. program from ch 8.2, shells method
! for quicksorting, numerical recipes
!
! INPUT MEANING
! ----- -------
! A unsorted list to sort on
! N length of vectors
!
! OUTPUT MEANING
! ------ -------
! A sorted list
! B sorted with A
! C sorted with A
! D sorted with A
!
!.... formal variables
INTEGER*4 A(N), B(N), C(N), D(N)
!
!----------------------------------------------------------------------!
!
!.... determine starting increment
INC=1
1 INC=3*INC+1
IF(INC.LE.N) GOTO 1
!
!.... loop over the partial sorts
2 CONTINUE
INC=INC/3
!........ outer loop of straight insertion
DO 11 I=INC+1,N
ITEMP = A(I)
ITEMP2 = B(I)
ITEMP3 = C(I)
ITEMP4 = D(I)
J = I
!
!........... inner loop of straight insertion
3 IF (A(J-INC).GT.ITEMP) THEN
A(J) = A(J-INC)
B(J) = B(J-INC)
C(J) = C(J-INC)
D(J) = D(J-INC)
J=J-INC
IF (J.LE.INC) GOTO 4
GOTO 3
ENDIF
4 A(J) = ITEMP
B(J) = ITEMP2
C(J) = ITEMP3
D(J) = ITEMP4
11 CONTINUE
IF (INC.GT.1) GOTO 2
RETURN
END
! !
!======================================================================!
! !
SUBROUTINE ISHELL5(N, A,B,C,D,E)
!
! sorts integer vectors. program from ch 8.2, shells method
! for quicksorting, numerical recipes
!
! INPUT MEANING
! ----- -------
! A unsorted list to sort on
! N length of vectors
!
! OUTPUT MEANING
! ------ -------
! A sorted list
! B sorted with A
! C sorted with A
! D sorted with A
! E sorted with A
!
!.... formal variables
INTEGER*4 A(N), B(N), C(N), D(N), E(N)
!
!----------------------------------------------------------------------!
!
!.... determine starting increment
INC=1
1 INC=3*INC+1
IF(INC.LE.N) GOTO 1
!
!.... loop over the partial sorts
2 CONTINUE
INC=INC/3
!........ outer loop of straight insertion
DO 11 I=INC+1,N
ITEMP = A(I)
ITEMP2 = B(I)
ITEMP3 = C(I)
ITEMP4 = D(I)
ITEMP5 = E(I)
J = I
!
!........... inner loop of straight insertion
3 IF (A(J-INC).GT.ITEMP) THEN
A(J) = A(J-INC)
B(J) = B(J-INC)
C(J) = C(J-INC)
D(J) = D(J-INC)
E(J) = E(J-INC)
J=J-INC
IF (J.LE.INC) GOTO 4
GOTO 3
ENDIF
4 A(J) = ITEMP
B(J) = ITEMP2
C(J) = ITEMP3
D(J) = ITEMP4
E(J) = ITEMP5
11 CONTINUE
IF (INC.GT.1) GOTO 2
RETURN
END
! !
!======================================================================!
! !
SUBROUTINE SHELL1(N, A)
!
! sorts integer vector A. program from ch 8.2, shells method
! for quicksorting, numerical recipes
!
INTEGER*4, INTENT(IN) ::N
REAL*8, INTENT(INOUT) :: A(N)
REAL*8 TEMP
!
!----------------------------------------------------------------------!
!
!.... determine starting increment
INC=1
1 INC=3*INC+1
IF(INC.LE.N) GOTO 1
!
!.... loop over the partial sorts
2 CONTINUE
INC=INC/3
!........ outer loop of straight insertion
DO 11 I=INC+1,N
TEMP = A(I)
J = I
!
!........... inner loop of straight insertion
3 IF (A(J-INC).GT.TEMP) THEN
A(J) = A(J-INC)
J=J-INC
IF (J.LE.INC) GOTO 4
GOTO 3
ENDIF
4 A(J) = TEMP
11 CONTINUE
IF (INC.GT.1) GOTO 2
RETURN
END
! !
!======================================================================!
! !
SUBROUTINE SHELL2(N, A,B)
!
! sorts integer vector A. program from ch 8.2, shells method
! for quicksorting, numerical recipes
!
INTEGER*4, INTENT(IN) :: N
REAL*8, INTENT(INOUT) :: A(N),B(N)
REAL*8 TEMP,TEMP2
!
!----------------------------------------------------------------------!
!
!.... determine starting increment
INC=1
1 INC=3*INC+1
IF(INC.LE.N) GOTO 1
!
!.... loop over the partial sorts
2 CONTINUE
INC=INC/3
!........ outer loop of straight insertion
DO 11 I=INC+1,N
TEMP = A(I)
TEMP2 = B(I)
J = I
!
!........... inner loop of straight insertion
3 IF (A(J-INC).GT.TEMP) THEN
A(J) = A(J-INC)
B(J) = B(J-INC)
J=J-INC
IF (J.LE.INC) GOTO 4
GOTO 3
ENDIF
4 A(J) = TEMP
B(J) = TEMP2
11 CONTINUE
IF (INC.GT.1) GOTO 2
RETURN
END
! !
!======================================================================!
! !
SUBROUTINE SHELLR8I2(N, A,B)
!
! sorts integer vector A. program from ch 8.2, shells method
! for quicksorting, numerical recipes
!
INTEGER*4, INTENT(IN) :: N
REAL*8, INTENT(INOUT) :: A(N)
INTEGER*4, INTENT(INOUT) :: B(N)
REAL*8 TEMP
INTEGER*4 TEMP2
!
!----------------------------------------------------------------------!
!
!.... determine starting increment
INC=1
1 INC=3*INC+1
IF(INC.LE.N) GOTO 1
!
!.... loop over the partial sorts
2 CONTINUE
INC=INC/3
!........ outer loop of straight insertion
DO 11 I=INC+1,N
TEMP = A(I)
TEMP2 = B(I)
J = I
!
!........... inner loop of straight insertion
3 IF (A(J-INC).GT.TEMP) THEN
A(J) = A(J-INC)
B(J) = B(J-INC)
J=J-INC
IF (J.LE.INC) GOTO 4
GOTO 3
ENDIF
4 A(J) = TEMP
B(J) = TEMP2
11 CONTINUE
IF (INC.GT.1) GOTO 2
RETURN
END
! !
!======================================================================!
! !
SUBROUTINE DHPSRT1(N,X)
!
! Purpose:
! This subroutine sorts the array X using HeapSort. It rearranges
! the elements of Y and Z at the same time.
!
! Parameters:
! N = the length of the arrays (input).
! X = the primary array to be used in sorting (input/output).
!
! Noel M. Nachtigal
! October 4, 1990
!
!**********************************************************************
!
INTEGER N
DOUBLE PRECISION X(N)
!
! Local variables.
!
INTEGER I, J, K, L
DOUBLE PRECISION TMPX
!
IF (N.LE.1) RETURN
!
L = N / 2 + 1
K = N
10 IF (L.GT.1) THEN
L = L - 1
TMPX = X(L)
ELSE
TMPX = X(K)
X(K) = X(1)
K = K - 1
IF (K.LE.1) THEN
X(1) = TMPX
RETURN
END IF
END IF
I = L
J = L + L
20 IF (J.LE.K) THEN
IF (J.LT.K) THEN
IF (X(J).LT.X(J+1)) J = J + 1
END IF
IF (TMPX.LT.X(J)) THEN
X(I) = X(J)
I = J
J = J + J
ELSE
J = K + 1
END IF
GO TO 20
END IF
X(I) = TMPX
GO TO 10
END
! !
!======================================================================!
! !
SUBROUTINE DHPSRT2(N,X,Y)
!
! Purpose:
! This subroutine sorts the array X using HeapSort. It rearranges
! the elements of Y and Z at the same time.
!
! Parameters:
! N = the length of the arrays (input).
! X = the primary array to be used in sorting (input/output).
! Y = another array, sorted in the same order as X (input/output).
!
! Noel M. Nachtigal
! October 4, 1990
!
!**********************************************************************
!
INTEGER N
DOUBLE PRECISION X(N), Y(N)
!
! Local variables.
!
INTEGER I, J, K, L
DOUBLE PRECISION TMPX, TMPY
!
IF (N.LE.1) RETURN
!
L = N / 2 + 1
K = N
10 IF (L.GT.1) THEN
L = L - 1
TMPX = X(L)
TMPY = Y(L)
ELSE
TMPX = X(K)
TMPY = Y(K)
X(K) = X(1)
Y(K) = Y(1)
K = K - 1
IF (K.LE.1) THEN
X(1) = TMPX
Y(1) = TMPY
RETURN
END IF
END IF
I = L
J = L + L
20 IF (J.LE.K) THEN
IF (J.LT.K) THEN
IF (X(J).LT.X(J+1)) J = J + 1
END IF
IF (TMPX.LT.X(J)) THEN
X(I) = X(J)
Y(I) = Y(J)
I = J
J = J + J
ELSE
J = K + 1
END IF
GO TO 20
END IF
X(I) = TMPX
Y(I) = TMPY
GO TO 10
END
! !
!======================================================================!
! !
SUBROUTINE DHPSRT3(N,X,Y,Z)
!
! Purpose:
! This subroutine sorts the array X using HeapSort. It rearranges
! the elements of Y and Z at the same time.
!
! Parameters:
! N = the length of the arrays (input).
! X = the primary array to be used in sorting (input/output).
! Y = another array, sorted in the same order as X (input/output).
! Z = another array, sorted in the same order as X (input/output).
! Noel M. Nachtigal
! October 4, 1990
!
!**********************************************************************
!
INTEGER N
DOUBLE PRECISION X(N), Y(N), Z(N)
!
! Local variables.
!
INTEGER I, J, K, L
DOUBLE PRECISION TMPX, TMPY, TMPZ
!
IF (N.LE.1) RETURN
!
L = N / 2 + 1
K = N
10 IF (L.GT.1) THEN
L = L - 1
TMPX = X(L)
TMPY = Y(L)
TMPZ = Z(L)
ELSE
TMPX = X(K)
TMPY = Y(K)
TMPZ = Z(K)
X(K) = X(1)
Y(K) = Y(1)
Z(K) = Z(1)
K = K - 1
IF (K.LE.1) THEN
X(1) = TMPX
Y(1) = TMPY
Z(1) = TMPZ
RETURN
END IF
END IF
I = L
J = L + L
20 IF (J.LE.K) THEN
IF (J.LT.K) THEN
IF (X(J).LT.X(J+1)) J = J + 1
END IF
IF (TMPX.LT.X(J)) THEN
X(I) = X(J)
Y(I) = Y(J)
Z(I) = Z(J)
I = J
J = J + J
ELSE
J = K + 1
END IF
GO TO 20
END IF
X(I) = TMPX
Y(I) = TMPY
Z(I) = TMPZ
GO TO 10
END
! !
!======================================================================!
! !
SUBROUTINE IHPSRT3(N,IX,IY,IZ)
!
! Purpose:
! This subroutine sorts the array X using HeapSort. It rearranges
! the elements of Y and Z at the same time.
!
! Parameters:
! N = the length of the arrays (input).
! X = the primary array to be used in sorting (input/output).
! Y = another array, sorted in the same order as X (input/output).
!
! Noel M. Nachtigal
! October 4, 1990
!
!**********************************************************************
!
IMPLICIT NONE
INTEGER N
INTEGER*4 IX(N), IY(N), IZ(N)
!
! Local variables.
!
INTEGER*4 I, J, K, L
INTEGER*4 ITMPX, ITMPY, ITMPZ
!
IF (N.LE.1) RETURN
!
L = N / 2 + 1
K = N
10 IF (L.GT.1) THEN
L = L - 1
ITMPX = IX(L)
ITMPY = IY(L)
ITMPZ = IZ(L)
ELSE
ITMPX = IX(K)
ITMPY = IY(K)
ITMPZ = IZ(K)
IX(K) = IX(1)
IY(K) = IY(1)
IZ(K) = IZ(1)
K = K - 1
IF (K.LE.1) THEN
IX(1) = ITMPX
IY(1) = ITMPY
IZ(1) = ITMPZ
RETURN
END IF
END IF
I = L
J = L + L
20 IF (J.LE.K) THEN
IF (J.LT.K) THEN
IF (IX(J).LT.IX(J+1)) J = J + 1
END IF
IF (ITMPX.LT.IX(J)) THEN
IX(I) = IX(J)
IY(I) = IY(J)
IZ(I) = IZ(J)
I = J
J = J + J
ELSE
J = K + 1
END IF
GO TO 20
END IF
IX(I) = ITMPX
IY(I) = ITMPY
IZ(I) = ITMPZ