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/* GATE PROJECT LICENSE: |
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+----------------------------------------------------------------------------+ |
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| Copyright(c) 2018-2025, Stefan Meislinger <sm@opengate.at> | |
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| All rights reserved. | |
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| Redistribution and use in source and binary forms, with or without | |
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| modification, are permitted provided that the following conditions are met:| |
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| 1. Redistributions of source code must retain the above copyright notice, | |
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| this list of conditions and the following disclaimer. | |
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| 2. Redistributions in binary form must reproduce the above copyright | |
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| notice, this list of conditions and the following disclaimer in the | |
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| documentation and/or other materials provided with the distribution. | |
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| THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"| |
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| AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE | |
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| IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE | |
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| ARE DISCLAIMED.IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE | |
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| LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR | |
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| CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF | |
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| SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS | |
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| INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN | |
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| CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) | |
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| ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF | |
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| THE POSSIBILITY OF SUCH DAMAGE. | |
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+----------------------------------------------------------------------------+ |
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*/ |
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#include "gate/geopositions.h" |
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#include "gate/mathematics.h" |
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static gate_real64_t gate_geopos_meters_per_latitude_rad(gate_real64_t latitude) |
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{ |
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static gate_real64_t const lat_term_1 = 111132.92f; |
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static gate_real64_t const lat_term_2 = -559.82f; |
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static gate_real64_t const lat_term_3 = 1.175f; |
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static gate_real64_t const lat_term_4 = -0.0023f; |
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return lat_term_1 |
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+ lat_term_2 * gate_math_cos(2.0 * latitude) |
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+ lat_term_3 * gate_math_cos(4.0 * latitude) |
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+ lat_term_4 * gate_math_cos(6.0 * latitude); |
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} |
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gate_real64_t gate_geopos_meters_per_latitude(gate_real64_t lat) |
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{ |
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return gate_geopos_meters_per_latitude_rad(gate_math_deg2rad(lat)); |
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} |
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static gate_real64_t gate_geopos_meters_per_longitude_rad(gate_real64_t latitude) |
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{ |
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static gate_real64_t const lon_term_1 = 111412.84f; |
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static gate_real64_t const lon_term_2 = -93.5f; |
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static gate_real64_t const lon_term_3 = 0.118f; |
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return lon_term_1 * gate_math_cos(latitude) |
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+ lon_term_2 * gate_math_cos(3.0 * latitude) |
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+ lon_term_3 * gate_math_cos(5.0 * latitude); |
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} |
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gate_real64_t gate_geopos_meters_per_longitude(gate_real64_t lat) |
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{ |
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return gate_geopos_meters_per_longitude_rad(gate_math_deg2rad(lat)); |
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} |
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gate_real64_t gate_geopos_distance(gate_geopos_t const* pos1, gate_geopos_t const* pos2) |
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{ |
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gate_real64_t center_lat = (pos1->latitude + pos2->latitude) / 2.0; |
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gate_real64_t center_lon = (pos1->longitude + pos2->longitude) / 2.0; |
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gate_real64_t meters_per_lat = gate_geopos_meters_per_latitude(center_lat); |
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gate_real64_t meters_per_lon = gate_geopos_meters_per_longitude(center_lon); |
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gate_real64_t diff_lat = gate_math_abs_r64(pos2->latitude - pos1->latitude); |
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gate_real64_t diff_lon = gate_math_abs_r64(pos2->longitude - pos1->longitude); |
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gate_real64_t y = diff_lat * meters_per_lat; |
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gate_real64_t x = diff_lon * meters_per_lon; |
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return gate_math_sqrt(x * x + y * y); |
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} |
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