C C .................................................................. C C SUBROUTINE DQTFG C C PURPOSE C TO COMPUTE THE VECTOR OF INTEGRAL VALUES FOR A GIVEN C GENERAL TABLE OF ARGUMENT AND FUNCTION VALUES. C C USAGE C CALL DQTFG (X,Y,Z,NDIM) C C DESCRIPTION OF PARAMETERS C X - DOUBLE PRECISION INPUT VECTOR OF ARGUMENT VALUES. C Y - DOUBLE PRECISION INPUT VECTOR OF FUNCTION VALUES. C Z - RESULTING DOUBLE PRECISION VECTOR OF INTEGRAL C VALUES. Z MAY BE IDENTICAL WITH X OR Y. C NDIM - THE DIMENSION OF VECTORS X,Y,Z. C C REMARKS C NO ACTION IN CASE NDIM LESS THAN 1. C C SUBROUTINES AND FUNCTION SUBPROGRAMS REQUIRED C NONE C C METHOD C BEGINNING WITH Z(1)=0, EVALUATION OF VECTOR Z IS DONE BY C MEANS OF TRAPEZOIDAL RULE (SECOND ORDER FORMULA). C FOR REFERENCE, SEE C F.B.HILDEBRAND, INTRODUCTION TO NUMERICAL ANALYSIS, C MCGRAW-HILL, NEW YORK/TORONTO/LONDON, 1956, PP.75. C C .................................................................. C SUBROUTINE DQTFG(X,Y,Z,NDIM) C C DIMENSION X(1),Y(1),Z(1) DOUBLE PRECISION X,Y,Z,SUM1,SUM2 C SUM2=0.D0 IF(NDIM-1)4,3,1 C C INTEGRATION LOOP 1 DO 2 I=2,NDIM SUM1=SUM2 SUM2=SUM2+.5D0*(X(I)-X(I-1))*(Y(I)+Y(I-1)) 2 Z(I-1)=SUM1 3 Z(NDIM)=SUM2 4 RETURN END