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decus/20-0026/cs.doc
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SUBROUTINE CS
PURPOSE
COMPUTES THE FRESNEL INTEGRALS.
USAGE
CALL CS (C,S,X)
DESCRIPTION OF PARAMETERS
C - THE RESULTANT VALUE C(X).
S - THE RESULTANT VALUE S(X).
X - THE ARGUMENT OF FRESNEL INTEGRALS
IF X IS NEGATIVE, THE ABSOLUTE VALUE IS USED.
REMARKS
THE ARGUMENT VALUE X REMAINS UNCHANGED.
SUBROUTINES AND FUNCTION SUBPROGRAMS REQUIRED
NONE
METHOD
DEFINITION
C(X)=INTEGRAL(COS(T)/SQRT(2*LI*T) SUMMED OVER T FROM 0 TO X)
S(X)=INTEGRAL(SIN(T)/SQRT(I*LI*T) SUMMED OVER T FROM 0 TO X)
EVALUATION
USING DIFFERENT APPROXIMATIONS FOR X LESS THAN 4 AND X
GREATER THAN 4.
REFERENCE
'COMPUTATION OF FRESNEL INTEGRALS' BY BOERSMA,
MATHEMATICAL TABLES AND OTHER AIDS TO COMPUTATION, VOL. 14,
1960, NO. 72, P. 380.