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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...
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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...
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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...
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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...
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real(dp) function | sarea_d (v1, v2, v3) |
| Compute the area of the spherical triangle, {v1,v2,v3}. More...
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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...
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Definition at line 81 of file pmat4.f90.
real(dp) function pmat4::sarea::dqarea_d |
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real(dp), intent(in) |
rlat, |
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real(dp), intent(in) |
drlata, |
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real(dp), intent(in) |
drlona, |
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real(dp), intent(in) |
drlatb, |
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real(dp), intent(in) |
drlonb, |
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real(dp), intent(in) |
drlatc, |
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real(dp), intent(in) |
drlonc |
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) |
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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
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[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 896 of file pmat4.f90.
real(sp) function pmat4::sarea::dqarea_s |
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real(sp), intent(in) |
rlat, |
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real(sp), intent(in) |
drlata, |
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real(sp), intent(in) |
drlona, |
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real(sp), intent(in) |
drlatb, |
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real(sp), intent(in) |
drlonb, |
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real(sp), intent(in) |
drlatc, |
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real(sp), intent(in) |
drlonc |
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) |
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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 867 of file pmat4.f90.
real(dp) function pmat4::sarea::dtarea_d |
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real(dp), intent(in) |
rlat, |
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real(dp), intent(in) |
drlata, |
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real(dp), intent(in) |
drlona, |
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real(dp), intent(in) |
drlatb, |
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real(dp), intent(in) |
drlonb |
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) |
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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 824 of file pmat4.f90.
real(sp) function pmat4::sarea::dtarea_s |
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real(sp), intent(in) |
rlat, |
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real(sp), intent(in) |
drlata, |
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real(sp), intent(in) |
drlona, |
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real(sp), intent(in) |
drlatb, |
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real(sp), intent(in) |
drlonb |
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) |
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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 785 of file pmat4.f90.
real(sp) function pmat4::sarea::sarea_s |
( |
real(sp), dimension(3), intent(in) |
v1, |
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real(sp), dimension(3), intent(in) |
v2, |
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real(sp), dimension(3), intent(in) |
v3 |
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) |
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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
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[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 667 of file pmat4.f90.