pmat4::mobius Interface Reference

Public Member Functions
subroutine	cmobius (aa, bb, cc, dd, vz, vw)
	Perform a complex Mobius transformation from cartesian vz to cartesian vw where the transformation coefficients are the standard aa,bb,cc,dd.
subroutine	zmobius (aa, bb, cc, dd, z, infz, w, infw)
	Perform a complex Mobius transformation from (z,infz) to (w,infw) where the transformation coefficients are the standard aa,bb,cc,dd.

Detailed Description

Definition at line 108 of file pmat4.f90.

Member Function/Subroutine Documentation

cmobius()

subroutine pmat4::mobius::cmobius	(	complex(dpc), intent(in)	aa,
		complex(dpc), intent(in)	bb,
		complex(dpc), intent(in)	cc,
		complex(dpc), intent(in)	dd,
		real(dp), dimension(3), intent(in)	vz,
		real(dp), dimension(3), intent(out)	vw )

Perform a complex Mobius transformation from cartesian vz to cartesian vw where the transformation coefficients are the standard aa,bb,cc,dd.

Parameters

[in]	aa	Mobius transformation coefficient
[in]	bb	Mobius transformation coefficient
[in]	cc	Mobius transformation coefficient
[in]	dd	Mobius transformation coefficient
[in]	vz	Cartesian unit 3-vector representation of input argument
[out]	vw	Cartesian unit 3-vector representation of output

Author

R. J. Purser

Definition at line 2311 of file pmat4.f90.

References pmat4::zmobius().

zmobius()

subroutine pmat4::mobius::zmobius	(	complex(dpc), intent(in)	aa,
		complex(dpc), intent(in)	bb,
		complex(dpc), intent(in)	cc,
		complex(dpc), intent(in)	dd,
		complex(dpc), intent(in)	z,
		logical, intent(in)	infz,
		complex(dpc), intent(out)	w,
		logical, intent(out)	infw )

Perform a complex Mobius transformation from (z,infz) to (w,infw) where the transformation coefficients are the standard aa,bb,cc,dd.

Infz is .TRUE. only when z is at complex infinity; likewise infw and w. For these infinite cases, it is important that numerical z==(0,0).

Parameters

[in]	aa	Mobius transformation complex coefficient
[in]	bb	Mobius transformation complex coefficient
[in]	cc	Mobius transformation complex coefficient
[in]	dd	Mobius transformation complex coefficient
[in]	z	complex input argument of the Mobius transformation
[in]	infz	logical indicator for z being a point at infinity
[out]	w	complex output of the Mobius transformation
[out]	infw	logical indicator for w being a point at infinity

Author

R. J. Purser

Definition at line 2276 of file pmat4.f90.

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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