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ladiv(3) LAPACK ladiv(3)

NAME

ladiv - ladiv: complex divide

SYNOPSIS

Functions


complex function cladiv (x, y)
CLADIV performs complex division in real arithmetic, avoiding unnecessary overflow. subroutine dladiv (a, b, c, d, p, q)
DLADIV performs complex division in real arithmetic, avoiding unnecessary overflow. subroutine dladiv1 (a, b, c, d, p, q)
double precision function dladiv2 (a, b, c, d, r, t)
subroutine sladiv (a, b, c, d, p, q)
SLADIV performs complex division in real arithmetic, avoiding unnecessary overflow. subroutine sladiv1 (a, b, c, d, p, q)
real function sladiv2 (a, b, c, d, r, t)
complex *16 function zladiv (x, y)
ZLADIV performs complex division in real arithmetic, avoiding unnecessary overflow.

Detailed Description

Function Documentation

complex function cladiv (complex x, complex y)

CLADIV performs complex division in real arithmetic, avoiding unnecessary overflow.

Purpose:



 CLADIV := X / Y, where X and Y are complex.  The computation of X / Y


 will not overflow on an intermediary step unless the results


 overflows.

Parameters

X 



          X is COMPLEX

Y



          Y is COMPLEX


          The complex scalars X and Y.

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

subroutine dladiv (double precision a, double precision b, double precision c, double precision d, double precision p, double precision q)

DLADIV performs complex division in real arithmetic, avoiding unnecessary overflow.

Purpose:



 DLADIV performs complex division in  real arithmetic


                       a + i*b


            p + i*q = ---------


                       c + i*d


 The algorithm is due to Michael Baudin and Robert L. Smith


 and can be found in the paper


 'A Robust Complex Division in Scilab'

Parameters

A 



          A is DOUBLE PRECISION

B



          B is DOUBLE PRECISION

C



          C is DOUBLE PRECISION

D



          D is DOUBLE PRECISION


          The scalars a, b, c, and d in the above expression.

P



          P is DOUBLE PRECISION

Q



          Q is DOUBLE PRECISION


          The scalars p and q in the above expression.

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

subroutine sladiv (real a, real b, real c, real d, real p, real q)

SLADIV performs complex division in real arithmetic, avoiding unnecessary overflow.

Purpose:



 SLADIV performs complex division in  real arithmetic


                       a + i*b


            p + i*q = ---------


                       c + i*d


 The algorithm is due to Michael Baudin and Robert L. Smith


 and can be found in the paper


 'A Robust Complex Division in Scilab'

Parameters

A 



          A is REAL

B



          B is REAL

C



          C is REAL

D



          D is REAL


          The scalars a, b, c, and d in the above expression.

P



          P is REAL

Q



          Q is REAL


          The scalars p and q in the above expression.

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

complex*16 function zladiv (complex*16 x, complex*16 y)

ZLADIV performs complex division in real arithmetic, avoiding unnecessary overflow.

Purpose:



 ZLADIV := X / Y, where X and Y are complex.  The computation of X / Y


 will not overflow on an intermediary step unless the results


 overflows.

Parameters

X 



          X is COMPLEX*16

Y



          Y is COMPLEX*16


          The complex scalars X and Y.

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Author

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Wed Feb 7 2024 11:30:40 Version 3.12.0