| GeodesicExact.hpp | | GeodesicExact.hpp | |
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| skipping to change at line 45 | | skipping to change at line 45 | |
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| * all \e f. However, in practice, its use should be limited to about \e | | * all \e f. However, in practice, its use should be limited to about \e | |
| * b/\e a ∈ [0.01, 100] or \e f ∈ [-99, 0.99]. | | * b/\e a ∈ [0.01, 100] or \e f ∈ [-99, 0.99]. | |
| * | | * | |
| * For the WGS84 ellipsoid, these classes are 2--3 times \e slower than t
he | | * For the WGS84 ellipsoid, these classes are 2--3 times \e slower than t
he | |
| * series solution and 2--3 times \e less \e accurate (because it's less
easy | | * series solution and 2--3 times \e less \e accurate (because it's less
easy | |
| * to control round-off errors with the elliptic integral formulation). | | * to control round-off errors with the elliptic integral formulation). | |
| * However the error in the series solution scales as <i>f</i><sup>7</sup
> | | * However the error in the series solution scales as <i>f</i><sup>7</sup
> | |
| * while the error in the elliptic integral solution is independent of \e
f. | | * while the error in the elliptic integral solution is independent of \e
f. | |
| * | | * | |
| * The computation of the area in these classes is via a 30th order serie
s. | | * The computation of the area in these classes is via a 30th order serie
s. | |
|
| * This will become inaccurate for when \e b/\e a ∉ [1/3, 3]. | | * This gives accurate results for \e b/\e a ∈ [1/2, 2]; the accurac | |
| | | y is | |
| | | * about 8 decimal digits for \e b/\e a ∈ [1/4, 4]. | |
| * | | * | |
| * See \ref geodellip for the formulation. See the documentation on the | | * See \ref geodellip for the formulation. See the documentation on the | |
| * Geodesic class for additional information on the geodesics problems. | | * Geodesic class for additional information on the geodesics problems. | |
| * | | * | |
| * Example of use: | | * Example of use: | |
| * \include example-GeodesicExact.cpp | | * \include example-GeodesicExact.cpp | |
| * | | * | |
| * <a href="Geod.1.html">Geod</a> is a command-line utility providing acc
ess | | * <a href="Geod.1.html">Geod</a> is a command-line utility providing acc
ess | |
| * to the functionality of GeodesicExact and GeodesicLineExact (via the -
E | | * to the functionality of GeodesicExact and GeodesicLineExact (via the -
E | |
| * option). | | * option). | |
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