igmcore_spherical_trigonometry Module Reference

This module provides some subroutines for performing the operations associated with spherical trigonometry. More...

Functions/Subroutines
real(DP), public	geodesic_arc_length (radius, p1, p2)
	Calculates the geodesic distance between point A and point B on a sphere.
real(DP), public	spherical_tri_area (radius, orth_p1, orth_p2, orth_p3)
	Calculates the area of a spherical triangle which consist of three points(point P1, P2 and P3) on a sphere.
real(DP), public	spherical_penta_area (radius, orth_p1, orth_p2, orth_p3, orth_p4, orth_p5)
	Calculates the area of a spherical pentagon which consist of five points(point P1, P2, P3, P4 and P5) on a sphere.
real(DP), public	spherical_hex_area (radius, orth_p1, orth_p2, orth_p3, orth_p4, orth_p5, orth_p6)
	Calculates the area of a spherical hexagon which consist of five points(point P1, P2, P3, P4, P5 and P6) on a sphere.
real(DP)	geodesic_arc_length_angle (radius, p1, p2)
	球面上における 2 点間の距離を単位球の中心に対する角度として計算する.
real(DP)	calc_angle (coresp_arc, arc1, arc2)
	球面三角形 ABC の一角である角 BAC を 3 辺の弧の長さ(この弧の長さは単位球の中心に対する角度を使って表す)から求める.

---

Detailed Description

This module provides some subroutines for performing the operations associated with spherical trigonometry.

Copyright (C) GFD Dennou Club, 2011-2012. All rights reserved.
license ??

Author:

Yuta Kawai

---

Function/Subroutine Documentation

real(DP) igmcore_spherical_trigonometry::calc_angle	(	real(DP),intent(in)	coresp_arc,
		real(DP),intent(in)	arc1,
		real(DP),intent(in)	arc2
	)		[private]

球面三角形 ABC の一角である角 BAC を 3 辺の弧の長さ(この弧の長さは単位球の中心に対する角度を使って表す)から求める.

Parameters:

[in]	coresp_arc	対象となる角と向かい合う弧 BC の長さ.
[in]	arc1	対象となる角を挟む弧 AB の長さ.
[in]	arc2	対象となる角を挟む弧 AC の長さ.

Returns:

角 BAC の角度.

Definition at line 289 of file igmcore_spherical_trigonometry.f90.

real(DP),public igmcore_spherical_trigonometry::geodesic_arc_length	(	real(DP),intent(in)	radius,
		real(DP),dimension(3),intent(in)	p1,
		real(DP),dimension(3),intent(in)	p2
	)

Calculates the geodesic distance between point A and point B on a sphere.

Parameters:

[in]	radius	The radius of a sphere.
[in]	p1	A position vector of point A in cartesian coordinate system.
[in]	p2	A position vector of point B in cartesian coordinate system.

Returns:

The geodesic distance between two points on a sphere.

Definition at line 58 of file igmcore_spherical_trigonometry.f90.

real(DP) igmcore_spherical_trigonometry::geodesic_arc_length_angle	(	real(DP),intent(in)	radius,
		real(DP),dimension(3),intent(in)	p1,
		real(DP),dimension(3),intent(in)	p2
	)		[private]

球面上における 2 点間の距離を単位球の中心に対する角度として計算する.

Parameters:

[in]	radius	2 点が存在する球面をもつ球の半径.
[in]	p1	点 A の位置ベクトル.
[in]	p2	点 B の位置ベクトル.

Returns:

球面上の二点間の距離(単位球の中心に対する角度).

Definition at line 250 of file igmcore_spherical_trigonometry.f90.

real(DP),public igmcore_spherical_trigonometry::spherical_hex_area	(	real(DP),intent(in)	radius,
		real(DP),dimension(3),intent(in)	orth_p1,
		real(DP),dimension(3),intent(in)	orth_p2,
		real(DP),dimension(3),intent(in)	orth_p3,
		real(DP),dimension(3),intent(in)	orth_p4,
		real(DP),dimension(3),intent(in)	orth_p5,
		real(DP),dimension(3),intent(in)	orth_p6
	)

Calculates the area of a spherical hexagon which consist of five points(point P1, P2, P3, P4, P5 and P6) on a sphere.

Parameters:

[in]	radius	The radius of a sphere.
[in]	orth_p1	A position vector of point P1 in cartesian coordinate system.
[in]	orth_p2	A position vector of point P2 in cartesian coordinate system.
[in]	orth_p3	A position vector of point P3 in cartesian coordinate system.
[in]	orth_p4	A position vector of point P4 in cartesian coordinate system.
[in]	orth_p5	A position vector of point P5 in cartesian coordinate system.
[in]	orth_p5	A position vector of point P6 in cartesian coordinate system.

Returns:

The area of spherical hexagon.

Definition at line 202 of file igmcore_spherical_trigonometry.f90.

real(DP),public igmcore_spherical_trigonometry::spherical_penta_area	(	real(DP),intent(in)	radius,
		real(DP),dimension(3),intent(in)	orth_p1,
		real(DP),dimension(3),intent(in)	orth_p2,
		real(DP),dimension(3),intent(in)	orth_p3,
		real(DP),dimension(3),intent(in)	orth_p4,
		real(DP),dimension(3),intent(in)	orth_p5
	)

Calculates the area of a spherical pentagon which consist of five points(point P1, P2, P3, P4 and P5) on a sphere.

Parameters:

[in]	radius	The radius of a sphere.
[in]	orth_p1	A position vector of point P1 in cartesian coordinate system.
[in]	orth_p2	A position vector of point P2 in cartesian coordinate system.
[in]	orth_p3	A position vector of point P3 in cartesian coordinate system.
[in]	orth_p4	A position vector of point P4 in cartesian coordinate system.
[in]	orth_p5	A position vector of point P5 in cartesian coordinate system.

Returns:

The area of spherical pentagon.

Definition at line 161 of file igmcore_spherical_trigonometry.f90.

real(DP),public igmcore_spherical_trigonometry::spherical_tri_area	(	real(DP),intent(in)	radius,
		real(DP),dimension(3),intent(in)	orth_p1,
		real(DP),dimension(3),intent(in)	orth_p2,
		real(DP),dimension(3),intent(in)	orth_p3
	)

Calculates the area of a spherical triangle which consist of three points(point P1, P2 and P3) on a sphere.

Parameters:

[in]	radius	The radius of a sphere.
[in]	orth_p1	A position vector of point P1 in cartesian coordinate system.
[in]	orth_p2	A position vector of point P2 in cartesian coordinate system.
[in]	orth_p3	A position vector of point P3 in cartesian coordinate system.

Returns:

The area of spherical triangle.

Definition at line 103 of file igmcore_spherical_trigonometry.f90.