Private Member Functions
real(dp) function	dqarea_d (rlat, drlata, drlona, drlatb, drlonb, drlatc, drlonc)
	Compute the area of the spherical quadrilateral with a vertex at latitude rlat, and three other vertices at A, B, and C in turn, whose incremented latitudes and longitudes are drlata,drlona (for A), drlatb,drlonb (for B), and drlatc,drlonc (for C). More...

real(sp) function	dqarea_s (rlat, drlata, drlona, drlatb, drlonb, drlatc, drlonc)
	Compute the area of the spherical quadrilateral with a vertex at latitude rlat, and three other vertices at A, B, and C in turn, whose incremented latitudes and longitudes are drlata,drlona (for A), drlatb,drlonb (for B), and drlatc,drlonc (for C). More...

real(dp) function	dtarea_d (rlat, drlata, drlona, drlatb, drlonb)
	Compute the area of the spherical triangle with a vertex at latitude rlat, and two other vertices, A and B, whose incremented latitudes and longitudes are drlata,drlona (for A) and drlatb,drlonb (for B). More...

real(sp) function	dtarea_s (rlat, drlata, drlona, drlatb, drlonb)
	Compute the area of the spherical triangle with a vertex at latitude rlat, and two other vertices, A and B, whose incremented latitudes and longitudes are drlata,drlona (for A) and drlatb,drlonb (for B). More...

real(dp) function	sarea_d (v1, v2, v3)
	Compute the area of the spherical triangle, {v1,v2,v3}. More...

real(sp) function	sarea_s (v1, v2, v3)
	Compute the area of the spherical triangle, {v1,v2,v3}, measured in the right-handed sense, by dropping a perpendicular to u0 on the longest side so that the area becomes the sum of areas of the two simpler right-angled triangles. More...

Detailed Description

Definition at line 81 of file pmat4.f90.

Member Function/Subroutine Documentation

◆ dqarea_d()

real(dp) function pmat4::sarea::dqarea_d	(	real(dp), intent(in)	rlat,
		real(dp), intent(in)	drlata,
		real(dp), intent(in)	drlona,
		real(dp), intent(in)	drlatb,
		real(dp), intent(in)	drlonb,
		real(dp), intent(in)	drlatc,
		real(dp), intent(in)	drlonc
	)

private

Compute the area of the spherical quadrilateral with a vertex at latitude rlat, and three other vertices at A, B, and C in turn, whose incremented latitudes and longitudes are drlata,drlona (for A), drlatb,drlonb (for B), and drlatc,drlonc (for C).

The computations are designed to give a proportionately accurate area estimate even when the quadrilateral is very small, provided the diagonal making the B-increment is not disproportionately small compared to the characteristic size of the quadrilateral. Double precision version.

Parameters

[in]	rlat	latitude of reference point
[in]	drlata	incremental latitude of point A
[in]	drlona	incremental longitude of point A
[in]	drlatb	incremental latitude of point B
[in]	drlonb	incremental longitude of point B
[in]	drlatc	incremental latitude of point C
[in]	drlonc	incremental longitude of point C

Returns: area

Author: R. J. Purser

Definition at line 898 of file pmat4.f90.

◆ dqarea_s()

real(sp) function pmat4::sarea::dqarea_s	(	real(sp), intent(in)	rlat,
		real(sp), intent(in)	drlata,
		real(sp), intent(in)	drlona,
		real(sp), intent(in)	drlatb,
		real(sp), intent(in)	drlonb,
		real(sp), intent(in)	drlatc,
		real(sp), intent(in)	drlonc
	)

private

Compute the area of the spherical quadrilateral with a vertex at latitude rlat, and three other vertices at A, B, and C in turn, whose incremented latitudes and longitudes are drlata,drlona (for A), drlatb,drlonb (for B), and drlatc,drlonc (for C).

The computations are designed to give a proportionately accurate area estimate even when the quadrilateral is very small, provided the diagonal making the B-increment is not disproportionately small compared to the characteristic size of the quadrilateral. Single precision version.

Parameters

[in]	rlat	latitude of reference point
[in]	drlata	incremental latitude of point A
[in]	drlona	incremental longitude of point A
[in]	drlatb	incremental latitude of point B
[in]	drlonb	incremental longitude of point B
[in]	drlatc	incremental latitude of point C
[in]	drlonc	incremental longitude of point C

Returns: area result

Author: R. J. Purser

Definition at line 869 of file pmat4.f90.

◆ dtarea_d()

real(dp) function pmat4::sarea::dtarea_d	(	real(dp), intent(in)	rlat,
		real(dp), intent(in)	drlata,
		real(dp), intent(in)	drlona,
		real(dp), intent(in)	drlatb,
		real(dp), intent(in)	drlonb
	)

private

Compute the area of the spherical triangle with a vertex at latitude rlat, and two other vertices, A and B, whose incremented latitudes and longitudes are drlata,drlona (for A) and drlatb,drlonb (for B).

The computations are designed to give a proportionately accurate area estimate even when the triangle is very small, provided the B-increment is not disproportionately small compared to the other two sides. Double precision version.

Parameters

[in]	rlat	latitude of reference point
[in]	drlata	incremental latitude of A
[in]	drlona	incremental longitude of A
[in]	drlatb	incremental latitude of B
[in]	drlonb	incremental longitude of B

Returns: area result

Author: R. J. Purser

Definition at line 825 of file pmat4.f90.

◆ dtarea_s()

real(sp) function pmat4::sarea::dtarea_s	(	real(sp), intent(in)	rlat,
		real(sp), intent(in)	drlata,
		real(sp), intent(in)	drlona,
		real(sp), intent(in)	drlatb,
		real(sp), intent(in)	drlonb
	)

private

Compute the area of the spherical triangle with a vertex at latitude rlat, and two other vertices, A and B, whose incremented latitudes and longitudes are drlata,drlona (for A) and drlatb,drlonb (for B).

The computations are designed to give a proportionately accurate area estimate even when the triangle is very small, provided the B-increment is not disproportionately small compared to the other two sides. Single precision version.

Parameters

[in]	rlat	latitude of reference point
[in]	drlata	incremental latitude of A
[in]	drlona	incremental longitude of A
[in]	drlatb	incremental latitude of B
[in]	drlonb	incremental longitude of B

Returns: area result

Author: R. J. Purser

Definition at line 786 of file pmat4.f90.

◆ sarea_d()

real(dp) function pmat4::sarea::sarea_d	(	real(dp), dimension(3), intent(in)	v1,
		real(dp), dimension(3), intent(in)	v2,
		real(dp), dimension(3), intent(in)	v3
	)

private

Compute the area of the spherical triangle, {v1,v2,v3}.

Parameters

[in]	v1	unit-3-vector vertex of the spherical triangle
[in]	v2	unit-3-vector vertex of the spherical triangle
[in]	v3	unit-3-vector vertex of the spherical triangle

Returns: area result

Author: R. J. Purser

Definition at line 723 of file pmat4.f90.

◆ sarea_s()

real(sp) function pmat4::sarea::sarea_s	(	real(sp), dimension(3), intent(in)	v1,
		real(sp), dimension(3), intent(in)	v2,
		real(sp), dimension(3), intent(in)	v3
	)

private

Compute the area of the spherical triangle, {v1,v2,v3}, measured in the right-handed sense, by dropping a perpendicular to u0 on the longest side so that the area becomes the sum of areas of the two simpler right-angled triangles.

Parameters

[in]	v1	area of the spherical triangle
[in]	v2	area of the spherical triangle
[in]	v3	area of the spherical triangle

Returns: area result

Author: R. J. Purser

Definition at line 668 of file pmat4.f90.

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

/scratch1/NCEPDEV/da/George.Gayno/ufs_utils.git/UFS_UTILS.upstream/sorc/grid_tools.fd/regional_esg_grid.fd/pmat4.f90

Private Member Functions

Detailed Description

Member Function/Subroutine Documentation

◆ dqarea_d()

◆ dqarea_s()

◆ dtarea_d()

◆ dtarea_s()

◆ sarea_d()

◆ sarea_s()