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decuslib20-02
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decus/20-0026/sici.doc
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SUBROUTINE SICI
PURPOSE
COMPUTES THE SINE AND COSINE INTEGRAL
USAGE
CALL SICI(SI,CI,X)
DESCRIPTION OF PARAMETERS
SI - THE RESULTANT VALUE SI(X)
CI - THE RESULTANT VALUE CI(X)
X - THE ARGUMENT OF SI(X) AND CI(X)
REMARKS
THE ARGUMENT VALUE REMAINS UNCHANGED
SUBROUTINES AND FUNCTION SUBPROGRAMS REQUIRED
NONE
METHOD
DEFINITION
SI(X)=INTEGRAL(SIN(T)/T)
CI(X)=INTEGRAL(COS(T)/T)
EVALUATION
REDUCTION OF RANGE USING SYMMETRY.
DIFFERENT APPROXIMATIONS ARE USED FOR ABS(X) GREATER
THAN 4 AND FOR ABS(X) LESS THAN 4.
REFERENCE
LUKE AND WIMP, 'POLYNOMIAL APPROXIMATIONS TO INTEGRAL
TRANSFORMS', MATHEMATICAL TABLES AND OTHER AIDS TO
COMPUTATION, VOL. 15, 1961, ISSUE 74, PP. 174-178.