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Introduce formula for Karney's inverse geodesic method #500

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Merged
merged 36 commits into from
Oct 31, 2019
Merged

Introduce formula for Karney's inverse geodesic method #500

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b9b0f85
[util] Add functions to normalize / sum two given values (angles)
adl1995 Jun 5, 2018
49e0a4f
Merge branch 'feature/geodesic_direct' into feature/karney_inverse
adl1995 Jun 6, 2018
7561d68
[util] Add function for returning NaN (not a number)
adl1995 Jun 6, 2018
2e064c0
[formulas] Arrange points in canonical form for inverse geodesic problem
adl1995 Jun 6, 2018
efd30c8
Merge branch 'feature/geodesic_direct' into feature/karney_inverse
adl1995 Jun 7, 2018
276e8e6
[formulas] Add function for computing the length at the meridians
adl1995 Jun 7, 2018
0344ba5
[formulas] Handle case for equatorial points in inverse problem
adl1995 Jun 11, 2018
485a2f9
[formulas] Find starting point for inverse problem (short lines)
adl1995 Jun 11, 2018
71fbc86
Merge branch 'feature/geodesic_direct' into feature/karney_inverse
adl1995 Jun 12, 2018
5bb581c
[formulas] Flip sign of cos_lam12
adl1995 Jun 12, 2018
2bde1c1
[formulas] Solve the astroid equation for inverse problem
adl1995 Jun 12, 2018
15d5cd6
[formulas] Perform normalization on starting guess if it passes the s…
adl1995 Jun 12, 2018
2aac402
Merge branch 'feature/geodesic_direct' into feature/karney_inverse
adl1995 Jun 14, 2018
642a84c
Merge branch 'feature/geodesic_direct' into feature/karney_inverse
adl1995 Jun 14, 2018
06fc06d
[formulas] Add function lambda12 to regulate bracketing range in Karn…
adl1995 Jun 14, 2018
490b4df
Merge branch 'feature/geodesic_direct' into feature/karney_inverse
adl1995 Jun 19, 2018
2ddad45
[util] Move difference_angle function to normalize_spheroidal_coordin…
adl1995 Jun 19, 2018
ead0b18
[formulas] Update bracketing values in Newton's method
adl1995 Jun 19, 2018
02577bd
[formulas] Use midpoint of bracket when value lies outside of range
adl1995 Jun 20, 2018
6d0720b
[formulas] Ensure reduced length and geodesic scale are computed in c…
adl1995 Jun 20, 2018
12bd41f
[formulas] Store values from Karney's inverse method in result_invers…
adl1995 Jul 2, 2018
4f04310
[formulas][test] Add Karney's inverse method in inverse test cases
adl1995 Jul 3, 2018
535ae96
[test] Add nearly antipodal points dataset for inverse geodesic problem
adl1995 Jul 3, 2018
1a52eac
[formulas] Resolve inaccuracy in starting point for Newton's method
adl1995 Jul 6, 2018
73a2e2b
Merge branch 'feature/geodesic_direct' into feature/karney_inverse
adl1995 Jul 9, 2018
6432dfe
[formulas][util] Reformat code in karney_inverse to use coefficient c…
adl1995 Jul 10, 2018
daf03b4
[formulas] Use namespace alias se for series_expansion in karney_inverse
adl1995 Jul 10, 2018
55c1691
[formulas] Fix incorrect argument to meridian_length() function
adl1995 Jul 13, 2018
b44e3ae
[formulas] Remove unused variable a12 in karney_inverse
adl1995 Jul 13, 2018
2ff1824
[formulas][test] Update copyright information
adl1995 Jul 16, 2018
1bfeba1
[strategies] Add distance strategy for Karney's inverse formula
adl1995 Jul 20, 2018
3b6ad80
[formulas][util] Remove math::round_angle() function and use original…
adl1995 Mar 17, 2019
05ae463
[util] Remove math::NaN() function
adl1995 Mar 17, 2019
9885d3b
[test] Add tests involving tiny angles for latitude, longitude, and a…
adl1995 Mar 31, 2019
c5b684f
[tests]: Add test for small angles for Kayney's inverse method
adl1995 Apr 6, 2019
607f5c3
[formulas][util] Use math::round_angle() function for lat1 and lat2
adl1995 Oct 26, 2019
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4 changes: 2 additions & 2 deletions include/boost/geometry/formulas/karney_direct.hpp
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Expand Up @@ -105,11 +105,11 @@ class karney_direct
CT const ep2 = e2 / math::sqr(one_minus_f);

CT sin_alpha1, cos_alpha1;
math::sin_cos_degrees<CT>(math::round_angle<CT>(azi12), sin_alpha1, cos_alpha1);
math::sin_cos_degrees<CT>(azi12, sin_alpha1, cos_alpha1);

// Find the reduced latitude.
CT sin_beta1, cos_beta1;
math::sin_cos_degrees<CT>(math::round_angle<CT>(lat1), sin_beta1, cos_beta1);
math::sin_cos_degrees<CT>(lat1, sin_beta1, cos_beta1);
sin_beta1 *= one_minus_f;

math::normalize_unit_vector<CT>(sin_beta1, cos_beta1);
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