pmat4::ctoz Interface Reference

Public Member Functions
subroutine	ctoz (v, z, infz)
	Utility codes for various Mobius transformations.

Detailed Description

Definition at line 105 of file pmat4.f90.

Constructor & Destructor Documentation

ctoz()

subroutine pmat4::ctoz::ctoz	(	real(dp), dimension(3), intent(in)	v,
		complex(dpc), intent(out)	z,
		logical, intent(out)	infz )

Utility codes for various Mobius transformations.

If aa1,bb1,cc1,dd1 are the coefficients for one transformation, and aa2,bb2,cc2,dd2 are the coefficients for a second one, then the coefficients for the mapping of a test point, zz, by aa1 etc to zw, followed by a mapping of zw, by aa2 etc to zv, is equivalent to a single mapping zz-->zv by the transformatn with coefficients aa3,bb3,cc3,dd3, such that, as 2*2 complex matrices:

     [ aa3, bb3 ]   [ aa2, bb2 ]   [ aa1, bb1 ]
     [          ] = [          ] * [          ]
     [ cc3, dd3 ]   [ cc2, dd2 ]   [ cc1, dd1 ] .
     

Note that the determinant of these matrices is always +1. Given a cartesian 3-vector representation of a point on the Riemann unit sphere, return the stereographically equivalent complex number.

Parameters

[in]	v	cartesian 3-vector representation of point on Riemann sphere
[out]	z	complex point stereographically equivalent to v
[out]	infz	logical indicator for z being the point at infinity

Author

R. J. Purser

Definition at line 2026 of file pmat4.f90.

References pietc::u0, and pietc::u1.

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The documentation for this interface was generated from the following file:

• /scratch4/NCEPDEV/nems/Brian.Curtis/git/BrianCurtis-NOAA/UFS_UTILS/v1_14_0/sorc/grid_tools.fd/regional_esg_grid.fd/pmat4.f90