GeographicLib: GeodesicExact.hpp Source File (original) (raw)
86 private:
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91 GeodesicExact() {};
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93 static const unsigned maxit1_ = 20;
94 unsigned maxit2_;
95 real tiny_, tol0_, tol1_, tol2_, tolb_, xthresh_;
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97 static constexpr unsigned CAP_NONE = 0U;
98 static constexpr unsigned CAP_E = 1U<<0;
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100 static constexpr unsigned CAP_D = 1U<<2;
101 static constexpr unsigned CAP_H = 1U<<3;
102 static constexpr unsigned CAP_C4 = 1U<<4;
103 static constexpr unsigned CAP_ALL = 0x1FU;
104 static constexpr unsigned CAP_MASK = CAP_ALL;
105 static constexpr unsigned OUT_ALL = 0x7F80U;
106 static constexpr unsigned OUT_MASK = 0xFF80U;
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110 real _a, _f, _f1, _e2, _ep2, _n, _b, _c2, _etol2;
111 int _nC4;
112 DST _fft;
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118 real cbet1, real cbet2, unsigned outmask,
133 real& domg12, bool diffp, real& dlam12) const;
135 unsigned outmask, real& s12,
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139 class I4Integrand {
140 private:
141 real X, tX, tdX, sX, sX1, sXX1, asinhsX, _k2;
142 static real asinhsqrt(real x);
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147 public:
148 I4Integrand(real ep2, real k2);
149 real operator()(real sig) const;
150 };
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152 public:
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168 NONE = 0U,
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174 LATITUDE = 1U<<7 | CAP_NONE,
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179 LONGITUDE = 1U<<8 | CAP_H,
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186 AZIMUTH = 1U<<9 | CAP_NONE,
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191 DISTANCE = 1U<<10 | CAP_E,
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198 STANDARD = LATITUDE | LONGITUDE | AZIMUTH | DISTANCE,
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204 DISTANCE_IN = 1U<<11 | CAP_E,
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209 REDUCEDLENGTH = 1U<<12 | CAP_D,
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214 GEODESICSCALE = 1U<<13 | CAP_D,
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219 AREA = 1U<<14 | CAP_C4,
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224 LONG_UNROLL = 1U<<15,
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230 ALL = OUT_ALL| CAP_ALL,
231 };
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287 real& lat2, real& lon2, real& azi2,
288 real& m12, real& M12, real& M21, real& S12)
289 const {
290 real t;
291 return GenDirect(lat1, lon1, azi1, false, s12,
292 LATITUDE | LONGITUDE | AZIMUTH |
293 REDUCEDLENGTH | GEODESICSCALE | AREA,
294 lat2, lon2, azi2, t, m12, M12, M21, S12);
295 }
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301 real& lat2, real& lon2)
302 const {
303 real t;
304 return GenDirect(lat1, lon1, azi1, false, s12,
305 LATITUDE | LONGITUDE,
306 lat2, lon2, t, t, t, t, t, t);
307 }
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313 real& lat2, real& lon2, real& azi2)
314 const {
315 real t;
316 return GenDirect(lat1, lon1, azi1, false, s12,
317 LATITUDE | LONGITUDE | AZIMUTH,
318 lat2, lon2, azi2, t, t, t, t, t);
319 }
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325 real& lat2, real& lon2, real& azi2, real& m12)
326 const {
327 real t;
328 return GenDirect(lat1, lon1, azi1, false, s12,
329 LATITUDE | LONGITUDE | AZIMUTH | REDUCEDLENGTH,
330 lat2, lon2, azi2, t, m12, t, t, t);
331 }
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337 real& lat2, real& lon2, real& azi2,
338 real& M12, real& M21)
339 const {
340 real t;
341 return GenDirect(lat1, lon1, azi1, false, s12,
342 LATITUDE | LONGITUDE | AZIMUTH | GEODESICSCALE,
343 lat2, lon2, azi2, t, t, M12, M21, t);
344 }
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350 real& lat2, real& lon2, real& azi2,
351 real& m12, real& M12, real& M21)
352 const {
353 real t;
354 return GenDirect(lat1, lon1, azi1, false, s12,
355 LATITUDE | LONGITUDE | AZIMUTH |
356 REDUCEDLENGTH | GEODESICSCALE,
357 lat2, lon2, azi2, t, m12, M12, M21, t);
358 }
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398 void ArcDirect(real lat1, real lon1, real azi1, real a12,
399 real& lat2, real& lon2, real& azi2, real& s12,
400 real& m12, real& M12, real& M21, real& S12)
401 const {
402 GenDirect(lat1, lon1, azi1, true, a12,
403 LATITUDE | LONGITUDE | AZIMUTH | DISTANCE |
404 REDUCEDLENGTH | GEODESICSCALE | AREA,
405 lat2, lon2, azi2, s12, m12, M12, M21, S12);
406 }
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411 void ArcDirect(real lat1, real lon1, real azi1, real a12,
412 real& lat2, real& lon2) const {
413 real t;
414 GenDirect(lat1, lon1, azi1, true, a12,
415 LATITUDE | LONGITUDE,
416 lat2, lon2, t, t, t, t, t, t);
417 }
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422 void ArcDirect(real lat1, real lon1, real azi1, real a12,
423 real& lat2, real& lon2, real& azi2) const {
424 real t;
425 GenDirect(lat1, lon1, azi1, true, a12,
426 LATITUDE | LONGITUDE | AZIMUTH,
427 lat2, lon2, azi2, t, t, t, t, t);
428 }
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433 void ArcDirect(real lat1, real lon1, real azi1, real a12,
434 real& lat2, real& lon2, real& azi2, real& s12)
435 const {
436 real t;
437 GenDirect(lat1, lon1, azi1, true, a12,
438 LATITUDE | LONGITUDE | AZIMUTH | DISTANCE,
439 lat2, lon2, azi2, s12, t, t, t, t);
440 }
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445 void ArcDirect(real lat1, real lon1, real azi1, real a12,
446 real& lat2, real& lon2, real& azi2,
447 real& s12, real& m12) const {
448 real t;
449 GenDirect(lat1, lon1, azi1, true, a12,
450 LATITUDE | LONGITUDE | AZIMUTH | DISTANCE |
451 REDUCEDLENGTH,
452 lat2, lon2, azi2, s12, m12, t, t, t);
453 }
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458 void ArcDirect(real lat1, real lon1, real azi1, real a12,
459 real& lat2, real& lon2, real& azi2, real& s12,
460 real& M12, real& M21) const {
461 real t;
462 GenDirect(lat1, lon1, azi1, true, a12,
463 LATITUDE | LONGITUDE | AZIMUTH | DISTANCE |
464 GEODESICSCALE,
465 lat2, lon2, azi2, s12, t, M12, M21, t);
466 }
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471 void ArcDirect(real lat1, real lon1, real azi1, real a12,
472 real& lat2, real& lon2, real& azi2, real& s12,
473 real& m12, real& M12, real& M21) const {
474 real t;
475 GenDirect(lat1, lon1, azi1, true, a12,
476 LATITUDE | LONGITUDE | AZIMUTH | DISTANCE |
477 REDUCEDLENGTH | GEODESICSCALE,
478 lat2, lon2, azi2, s12, m12, M12, M21, t);
479 }
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537 bool arcmode, real s12_a12, unsigned outmask,
540 real& S12) const;
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578 real& s12, real& azi1, real& azi2, real& m12,
579 real& M12, real& M21, real& S12) const {
580 return GenInverse(lat1, lon1, lat2, lon2,
581 DISTANCE | AZIMUTH |
582 REDUCEDLENGTH | GEODESICSCALE | AREA,
583 s12, azi1, azi2, m12, M12, M21, S12);
584 }
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590 real& s12) const {
591 real t;
592 return GenInverse(lat1, lon1, lat2, lon2,
593 DISTANCE,
594 s12, t, t, t, t, t, t);
595 }
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601 real& azi1, real& azi2) const {
602 real t;
603 return GenInverse(lat1, lon1, lat2, lon2,
604 AZIMUTH,
605 t, azi1, azi2, t, t, t, t);
606 }
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612 real& s12, real& azi1, real& azi2)
613 const {
614 real t;
615 return GenInverse(lat1, lon1, lat2, lon2,
616 DISTANCE | AZIMUTH,
617 s12, azi1, azi2, t, t, t, t);
618 }
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624 real& s12, real& azi1, real& azi2, real& m12)
625 const {
626 real t;
627 return GenInverse(lat1, lon1, lat2, lon2,
628 DISTANCE | AZIMUTH | REDUCEDLENGTH,
629 s12, azi1, azi2, m12, t, t, t);
630 }
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636 real& s12, real& azi1, real& azi2,
637 real& M12, real& M21) const {
638 real t;
639 return GenInverse(lat1, lon1, lat2, lon2,
640 DISTANCE | AZIMUTH | GEODESICSCALE,
641 s12, azi1, azi2, t, M12, M21, t);
642 }
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648 real& s12, real& azi1, real& azi2, real& m12,
649 real& M12, real& M21) const {
650 real t;
651 return GenInverse(lat1, lon1, lat2, lon2,
652 DISTANCE | AZIMUTH |
653 REDUCEDLENGTH | GEODESICSCALE,
654 s12, azi1, azi2, m12, M12, M21, t);
655 }
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695 unsigned outmask,
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747 unsigned caps = ALL) const;
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767 GeodesicLineExact InverseLine(real lat1, real lon1, real lat2, real lon2,
768 unsigned caps = ALL) const;
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790 GeodesicLineExact DirectLine(real lat1, real lon1, real azi1, real s12,
791 unsigned caps = ALL) const;
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813 GeodesicLineExact ArcDirectLine(real lat1, real lon1, real azi1, real a12,
814 unsigned caps = ALL) const;
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840 bool arcmode, real s12_a12,
841 unsigned caps = ALL) const;
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867 { return 4 * Math::pi() * _c2; }
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876 };