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#![allow(non_snake_case)]
use crate::geodesic::{self, GEODESIC_ORDER};
use crate::geodesiccapability as caps;
use crate::geomath;
use std::collections::HashMap;
#[derive(Debug)]
pub struct GeodesicLine {
tiny_: f64,
_A1m1: f64,
_A2m1: f64,
_A3c: f64,
_A4: f64,
_B11: f64,
_B21: f64,
_B31: f64,
_B41: f64,
_C1a: [f64; GEODESIC_ORDER as usize + 1],
_C1pa: [f64; GEODESIC_ORDER as usize + 1],
_C2a: [f64; GEODESIC_ORDER as usize + 1],
_C3a: [f64; GEODESIC_ORDER as usize + 1],
_C4a: [f64; GEODESIC_ORDER as usize + 1],
_b: f64,
_c2: f64,
_calp0: f64,
_csig1: f64,
_comg1: f64,
_ctau1: f64,
_dn1: f64,
_f1: f64,
_k2: f64,
_salp0: f64,
_somg1: f64,
_ssig1: f64,
_stau1: f64,
a13: f64,
a: f64,
azi1: f64,
calp1: f64,
caps: u64,
f: f64,
lat1: f64,
lon1: f64,
s13: f64,
salp1: f64,
}
impl GeodesicLine {
pub fn new(
geod: &geodesic::Geodesic,
lat1: f64,
lon1: f64,
azi1: f64,
caps: Option<u64>,
salp1: Option<f64>,
calp1: Option<f64>,
) -> Self {
let caps = match caps {
None => caps::STANDARD | caps::DISTANCE_IN,
Some(caps) => caps,
};
let salp1 = match salp1 {
None => std::f64::NAN,
Some(salp1) => salp1,
};
let calp1 = match calp1 {
None => std::f64::NAN,
Some(calp1) => calp1,
};
let tiny_ = geomath::get_min_val().sqrt();
let a = geod.a;
let f = geod.f;
let _b = geod._b;
let _c2 = geod._c2;
let _f1 = geod._f1;
let caps = caps | caps::LATITUDE | caps::AZIMUTH | caps::LONG_UNROLL;
let lat1 = geomath::lat_fix(lat1);
let lon1 = lon1;
let (azi1, salp1, calp1) = if salp1.is_nan() || calp1.is_nan() {
let (salp1, calp1) = geomath::sincosd(geomath::ang_round(azi1));
let azi1 = geomath::ang_normalize(azi1);
(azi1, salp1, calp1)
} else {
(azi1, salp1, calp1)
};
let (mut sbet1, cbet1) = geomath::sincosd(geomath::ang_round(lat1));
sbet1 *= _f1;
let (sbet1, mut cbet1) = geomath::norm(sbet1, cbet1);
cbet1 = tiny_.max(cbet1);
let _dn1 = (1.0 + geod._ep2 * geomath::sq(sbet1)).sqrt();
let _salp0 = salp1 * cbet1;
let _calp0 = calp1.hypot(salp1 * sbet1);
let _ssig1 = sbet1;
let _somg1 = _salp0 * sbet1;
let _csig1 = if sbet1 != 0.0 || calp1 != 0.0 {
cbet1 * calp1
} else {
1.0
};
let _comg1 = _csig1;
let (_ssig1, _csig1) = geomath::norm(_ssig1, _csig1);
let _k2 = geomath::sq(_calp0) * geod._ep2;
let eps = _k2 / (2.0 * (1.0 + (1.0 + _k2).sqrt()) + _k2);
let mut _A1m1 = 0.0;
let mut _C1a: [f64; GEODESIC_ORDER as usize + 1] = [0.0; GEODESIC_ORDER as usize + 1];
let mut _B11 = 0.0;
let mut _stau1 = 0.0;
let mut _ctau1 = 0.0;
if caps & caps::CAP_C1 != 0 {
_A1m1 = geomath::_A1m1f(eps, geod.GEODESIC_ORDER);
geomath::_C1f(eps, &mut _C1a, geod.GEODESIC_ORDER);
_B11 = geomath::sin_cos_series(true, _ssig1, _csig1, &_C1a);
let s = _B11.sin();
let c = _B11.cos();
_stau1 = _ssig1 * c + _csig1 * s;
_ctau1 = _csig1 * c - _ssig1 * s;
}
let mut _C1pa: [f64; GEODESIC_ORDER as usize + 1] = [0.0; GEODESIC_ORDER as usize + 1];
if caps & caps::CAP_C1p != 0 {
geomath::_C1pf(eps, &mut _C1pa, geod.GEODESIC_ORDER);
}
let mut _A2m1 = 0.0;
let mut _C2a: [f64; GEODESIC_ORDER as usize + 1] = [0.0; GEODESIC_ORDER as usize + 1];
let mut _B21 = 0.0;
if caps & caps::CAP_C2 != 0 {
_A2m1 = geomath::_A2m1f(eps, geod.GEODESIC_ORDER);
geomath::_C2f(eps, &mut _C2a, geod.GEODESIC_ORDER);
_B21 = geomath::sin_cos_series(true, _ssig1, _csig1, &_C2a);
}
let mut _C3a: [f64; GEODESIC_ORDER as usize + 1] = [0.0; GEODESIC_ORDER as usize + 1];
let mut _A3c = 0.0;
let mut _B31 = 0.0;
if caps & caps::CAP_C3 != 0 {
geod._C3f(eps, &mut _C3a);
_A3c = -f * _salp0 * geod._A3f(eps);
_B31 = geomath::sin_cos_series(true, _ssig1, _csig1, &_C3a);
}
let mut _C4a: [f64; GEODESIC_ORDER as usize + 1] = [0.0; GEODESIC_ORDER as usize + 1];
let mut _A4 = 0.0;
let mut _B41 = 0.0;
if caps & caps::CAP_C4 != 0 {
geod._C4f(eps, &mut _C4a);
_A4 = geomath::sq(a) * _calp0 * _salp0 * geod._e2;
_B41 = geomath::sin_cos_series(false, _ssig1, _csig1, &_C4a);
}
let s13 = std::f64::NAN;
let a13 = std::f64::NAN;
GeodesicLine {
tiny_,
_A1m1,
_A2m1,
_A3c,
_A4,
_B11,
_B21,
_B31,
_B41,
_C1a,
_C1pa,
_comg1,
_C2a,
_C3a,
_C4a,
_b,
_c2,
_calp0,
_csig1,
_ctau1,
_dn1,
_f1,
_k2,
_salp0,
_somg1,
_ssig1,
_stau1,
a,
a13,
azi1,
calp1,
caps,
f,
lat1,
lon1,
s13,
salp1,
}
}
pub fn _gen_position(
&self,
arcmode: bool,
s12_a12: f64,
outmask: u64,
) -> (f64, f64, f64, f64, f64, f64, f64, f64, f64) {
let mut a12 = std::f64::NAN;
let mut lat2 = std::f64::NAN;
let mut lon2 = std::f64::NAN;
let mut azi2 = std::f64::NAN;
let mut s12 = std::f64::NAN;
let mut m12 = std::f64::NAN;
let mut M12 = std::f64::NAN;
let mut M21 = std::f64::NAN;
let mut S12 = std::f64::NAN;
let outmask = outmask & (self.caps & caps::OUT_MASK);
if !(arcmode || (self.caps & (caps::OUT_MASK & caps::DISTANCE_IN) != 0)) {
return (a12, lat2, lon2, azi2, s12, m12, M12, M21, S12);
}
let mut B12 = 0.0;
let mut AB1 = 0.0;
let mut sig12: f64;
let mut ssig12: f64;
let mut csig12: f64;
let mut ssig2: f64;
let mut csig2: f64;
if arcmode {
sig12 = s12_a12.to_radians();
let res = geomath::sincosd(s12_a12);
ssig12 = res.0;
csig12 = res.0;
} else {
let tau12 = s12_a12 / (self._b * (1.0 + self._A1m1));
let tau12 = if tau12.is_finite() {
tau12
} else {
std::f64::NAN
};
let s = tau12.sin();
let c = tau12.cos();
B12 = -geomath::sin_cos_series(
true,
self._stau1 * c + self._ctau1 * s,
self._ctau1 * c - self._stau1 * s,
&self._C1pa,
);
sig12 = tau12 - (B12 - self._B11);
ssig12 = sig12.sin();
csig12 = sig12.cos();
if self.f.abs() > 0.01 {
ssig2 = self._ssig1 * csig12 + self._csig1 * ssig12;
csig2 = self._csig1 * csig12 - self._ssig1 * ssig12;
B12 = geomath::sin_cos_series(true, ssig2, csig2, &self._C1a);
let serr = (1.0 + self._A1m1) * (sig12 + (B12 - self._B11)) - s12_a12 / self._b;
sig12 = sig12 - serr / (1.0 + self._k2 * ssig2.sqrt()).sqrt();
ssig12 = sig12.sin();
csig12 = sig12.cos();
}
};
ssig2 = self._ssig1 * csig12 + self._csig1 * ssig12;
csig2 = self._csig1 * csig12 - self._ssig1 * ssig12;
let dn2 = (1.0 + self._k2 * geomath::sq(ssig2)).sqrt();
if outmask & (caps::DISTANCE | caps::REDUCEDLENGTH | caps::GEODESICSCALE) != 0 {
if arcmode || self.f.abs() > 0.01 {
B12 = geomath::sin_cos_series(true, ssig2, csig2, &self._C1a);
}
AB1 = (1.0 + self._A1m1) * (B12 - self._B11);
}
let sbet2 = self._calp0 * ssig2;
let mut cbet2 = self._salp0.hypot(self._calp0 * csig2);
if cbet2 == 0.0 {
cbet2 = self.tiny_;
csig2 = self.tiny_;
}
let salp2 = self._salp0;
let calp2 = self._calp0 * csig2;
if outmask & caps::DISTANCE != 0 {
s12 = if arcmode {
self._b * ((1.0 + self._A1m1) * sig12 + AB1)
} else {
s12_a12
}
}
if outmask & caps::LONGITUDE != 0 {
let somg2 = self._salp0 * ssig2;
let comg2 = csig2;
let E = (1.0 as f64).copysign(self._salp0);
let omg12 = if outmask & caps::LONG_UNROLL != 0 {
E * (sig12 - (ssig2.atan2(csig2) - self._ssig1.atan2(self._csig1))
+ ((E * somg2).atan2(comg2) - (E * self._somg1).atan2(self._comg1)))
} else {
(somg2 * self._comg1 - comg2 * self._somg1)
.atan2(comg2 * self._comg1 + somg2 * self._somg1)
};
let lam12 = omg12
+ self._A3c
* (sig12
+ (geomath::sin_cos_series(true, ssig2, csig2, &self._C3a) - self._B31));
let lon12 = lam12.to_degrees();
lon2 = if outmask & caps::LONG_UNROLL != 0 {
self.lon1 + lon12
} else {
geomath::ang_normalize(
geomath::ang_normalize(self.lon1) + geomath::ang_normalize(lon12),
)
};
};
if outmask & caps::LATITUDE != 0 {
lat2 = geomath::atan2d(sbet2, self._f1 * cbet2);
}
if outmask & caps::AZIMUTH != 0 {
azi2 = geomath::atan2d(salp2, calp2);
}
if outmask & (caps::REDUCEDLENGTH | caps::GEODESICSCALE) != 0 {
let B22 = geomath::sin_cos_series(true, ssig2, csig2, &self._C2a);
let AB2 = (1.0 + self._A2m1) * (B22 - self._B21);
let J12 = (self._A1m1 - self._A2m1) * sig12 + (AB1 - AB2);
if outmask & caps::REDUCEDLENGTH != 0 {
m12 = self._b
* ((dn2 * (self._csig1 * ssig2) - self._dn1 * (self._ssig1 * csig2))
- self._csig1 * csig2 * J12);
}
if outmask & caps::GEODESICSCALE != 0 {
let t =
self._k2 * (ssig2 - self._ssig1) * (ssig2 + self._ssig1) / (self._dn1 + dn2);
M12 = csig12 + (t * ssig2 - csig2 * J12) * self._ssig1 / self._dn1;
M21 = csig12 - (t * self._ssig1 - self._csig1 * J12) * ssig2 / dn2;
}
}
if outmask & caps::AREA != 0 {
let B42 = geomath::sin_cos_series(false, ssig2, csig2, &self._C4a);
let salp12: f64;
let calp12: f64;
if self._calp0 == 0.0 || self._salp0 == 0.0 {
salp12 = salp2 * self.calp1 - calp2 * self.salp1;
calp12 = calp2 * self.calp1 + salp2 * self.salp1;
} else {
salp12 = self._calp0
* self._salp0
* (if csig12 <= 0.0 {
self._csig1 * (1.0 - csig12) + ssig12 * self._ssig1
} else {
ssig12 * (self._csig1 * ssig12 / (1.0 + csig12) + self._ssig1)
});
calp12 = geomath::sq(self._salp0) + geomath::sq(self._calp0) * self._csig1 * csig2;
}
S12 = self._c2 * salp12.atan2(calp12) + self._A4 * (B42 - self._B41);
}
a12 = if arcmode { s12_a12 } else { sig12.to_degrees() };
(a12, lat2, lon2, azi2, s12, m12, M12, M21, S12)
}
#[allow(dead_code)]
pub fn Position(&self, s12: f64, outmask: Option<u64>) -> HashMap<String, f64> {
let outmask = match outmask {
Some(outmask) => outmask,
None => caps::STANDARD,
};
let mut result: HashMap<String, f64> = HashMap::new();
result.insert("lat1".to_string(), self.lat1);
result.insert("azi1".to_string(), self.azi1);
result.insert("s12".to_string(), s12);
let lon1 = if outmask & caps::LONG_UNROLL != 0 {
self.lon1
} else {
geomath::ang_normalize(self.lon1)
};
result.insert("lon1".to_string(), lon1);
let (a12, lat2, lon2, azi2, _s12, m12, M12, M21, S12) =
self._gen_position(false, s12, outmask);
let outmask = outmask & caps::OUT_MASK;
result.insert("a12".to_string(), a12);
if outmask & caps::LATITUDE != 0 {
result.insert("lat2".to_string(), lat2);
}
if outmask & caps::LONGITUDE != 0 {
result.insert("lon2".to_string(), lon2);
}
if outmask & caps::AZIMUTH != 0 {
result.insert("azi2".to_string(), azi2);
}
if outmask & caps::REDUCEDLENGTH != 0 {
result.insert("m12".to_string(), m12);
}
if outmask & caps::GEODESICSCALE != 0 {
result.insert("M12".to_string(), M12);
result.insert("M21".to_string(), M21);
}
if outmask & caps::AREA != 0 {
result.insert("S12".to_string(), S12);
}
result
}
}
#[cfg(test)]
mod tests {
use super::*;
use geodesic::Geodesic;
#[test]
fn test_gen_position() {
let geod = Geodesic::wgs84();
let gl = GeodesicLine::new(&geod, 0.0, 0.0, 10.0, None, None, None);
let res = gl._gen_position(false, 150.0, 3979);
assert_eq!(res.0, 0.0013520059461334633);
assert_eq!(res.1, 0.0013359451088740494);
assert_eq!(res.2, 0.00023398621812867812);
assert_eq!(res.3, 10.000000002727887);
assert_eq!(res.4, 150.0);
assert_eq!(res.5.is_nan(), true);
assert_eq!(res.6.is_nan(), true);
assert_eq!(res.7.is_nan(), true);
assert_eq!(res.8.is_nan(), true);
}
#[test]
fn test_init() {
let geod = Geodesic::wgs84();
let gl = GeodesicLine::new(&geod, 0.0, 0.0, 0.0, None, None, None);
assert_eq!(gl.a, 6378137.0);
assert_eq!(gl.f, 0.0033528106647474805);
assert_eq!(gl._b, 6356752.314245179);
assert_eq!(gl._c2, 40589732499314.76);
assert_eq!(gl._f1, 0.9966471893352525);
assert_eq!(gl.caps, 36747);
assert_eq!(gl.lat1, 0.0);
assert_eq!(gl.lon1, 0.0);
assert_eq!(gl.azi1, 0.0);
assert_eq!(gl.salp1, 0.0);
assert_eq!(gl.calp1, 1.0);
assert_eq!(gl._dn1, 1.0);
assert_eq!(gl._salp0, 0.0);
assert_eq!(gl._calp0, 1.0);
assert_eq!(gl._ssig1, 0.0);
assert_eq!(gl._somg1, 0.0);
assert_eq!(gl._csig1, 1.0);
assert_eq!(gl._comg1, 1.0);
assert_eq!(gl._k2, geod._ep2);
assert_eq!(gl.s13.is_nan(), true);
assert_eq!(gl.a13.is_nan(), true);
}
}