SHTSGM

DCL:MATH2:SHTLIB: Spherical Harmonic Functions: Explanation of Subroutines

4.3.15 SHTSGM

1.

Function

Performs inverse spectral transformation by successively carrying out SHTSWM and SHTWGM, for a single specified wavenumber component.

2.

Definition

See SHTSWM and SHTWGM.

3.

Call

SHTSGM(MM,JM,IM,M,ISW,S,WR,WI,G,WORK)

4.

Explanation of Parameters

MM (I) Input parameter. The cut-off wavenumber (M).

JM (I) Input parameter. 1/2 of the NS partition number (J)

IM (I) Input parameter. 1/2 of the EW partition number (I)

M (I) Input parameter. Specifies the wavenumber to transform. (See SHTSWM.)

ISW (I) Input parameter. Specifies the type of transformation. (See SHTS2G.)

S (R) Input parameter. Spectral data. (For length and arrangement, see SHTNML.)

WR (R) Output parameter. The floating-point part of W^m_(&phi). (For length and arrangement, see SHTSWM.)

WI (R) Output parameter. The imaginary part of W^m_(&phi). (For length and arrangement, see SHTSWM.)

G (R) Output parameter. Grid data. (For length and arrangement, see SHTW2G.)

WORK (R) Working area initialized by SHTINT.

5.

Notes

(a): This subroutine is equivalent to successively calling SHTSWM and SHTWGM.

`MM`	`(I)`	Input parameter. The cut-off wavenumber (M).
`JM`	`(I)`	Input parameter. 1/2 of the NS partition number (J)
`IM`	`(I)`	Input parameter. 1/2 of the EW partition number (I)
`M`	`(I)`	Input parameter. Specifies the wavenumber to transform. (See `SHTSWM`.)
`ISW`	`(I)`	Input parameter. Specifies the type of transformation. (See `SHTS2G`.)
`S`	`(R)`	Input parameter. Spectral data. (For length and arrangement, see `SHTNML`.)
`WR`	`(R)`	Output parameter. The floating-point part of W^m_(&phi). (For length and arrangement, see `SHTSWM`.)
`WI`	`(R)`	Output parameter. The imaginary part of W^m_(&phi). (For length and arrangement, see `SHTSWM`.)
`G`	`(R)`	Output parameter. Grid data. (For length and arrangement, see `SHTW2G`.)
`WORK`	`(R)`	Working area initialized by `SHTINT`.