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There's something still wrong in the loop.

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This commit is contained in:
Simon Brooke 2018-06-28 22:30:38 +01:00
parent a1383c78a6
commit 32c720fd03
1 changed files with 31 additions and 24 deletions
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55
src/yyy_data/core.clj
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@ -413,51 +413,58 @@
Ma (*' (+' 1 n (*' 5/4 n²) (*' 5/4 n³)) Δφ)
;; var Mb = (3*n + 3*n*n + (21/8)*n3) * Math.sin(φ-φ0) * Math.cos(φ+φ0);
Mb (*' (+' (*' n 3) (*' n² 3) (*' 21/8 n³)) (sin Δφ) (cos (+' φ φ0)))
Mc (*' (+' (*' n² 15/8) (*' n³ 15/8)) (sin (*' 2 Δφ)) (cos (*' 2 Δφ)))
Md (*' 35/24 n³ (sin (*' 3 Δφ)) (cos (*' 3 Δφ)))
;; var Mc = ((15/8)*n2 + (15/8)*n3) * Math.sin(2*(φ-φ0)) * Math.cos(2*(φ+φ0));
Mc (*' (+' (*' n² 15/8) (*' n³ 15/8)) (sin (*' 2 Δφ)) (cos (*' 2 (+' φ φ0))))
;; var Md = (35/24)*n3 * Math.sin(3*(φ-φ0)) * Math.cos(3*(φ+φ0));
Md (*' 35/24 n³ (sin (*' 3 Δφ)) (cos (*' 3 (+' φ φ0))))
M₁ (*' b F0 (+' (-' 0 Ma) Mb Mc (-' 0 Md)))]
(println (str "loop: φ: " φ "; M: " M "; termination: " (-' N N0 M₁)))
(if
(>= (-' N N0 M₁) 0.00001)
(recur M₁ φ₁)
(recur φ₁ M₁)
[M₁ φ₁])))
sinφ (sin φ)
sin²φ (*' (sin φ) (sin φ))
cosφ (cos φ)
v (*' a (/ F0 (sqrt (-' 1 (*' e² sin²φ)))))
v³ (reduce * 1 (repeat 3 v))
v⁵ (reduce * 1 (repeat 5 v))
v⁷ (reduce * 1 (repeat 7 v))
;; var ν = a*F0/Math.sqrt(1-e2*sinφ*sinφ);
;; nu = transverse radius of curvature
ρ (/ (*' a F0 (-' 1 e²)) (expt (-' 1 (*' e² sin²φ)) 1.5))
v (*' a (/ F0 (sqrt (-' 1 (*' e² sin²φ)))))
v³ (expt 3 v)
v⁵ (expt 5 v)
v⁷ (expt 7 v)
;; rho = meridional radius of curvature
ρ (/ (*' a F0 (-' 1 e²)) (expt (-' 1 (*' e² sin²φ)) 1.5))
η2 (/ v (-' ρ 1)) ;; beware confusing η2 with n²
tanφ (tan φ)
tan²φ (reduce * 1 (repeat 2 tanφ))
tan⁴φ (reduce * 1 (repeat 4 tanφ))
tan⁶φ (reduce * 1 (repeat 6 tanφ))
tan²φ (expt tanφ 2)
tan⁴φ (expt tanφ 4)
tan⁶φ (expt tanφ 6)
secφ (/ 1 cosφ)
VII (/ tanφ (*' 2 ρ v))
;; TODO: check Javascript operator precedence!
VIII (*' (/ tanφ (*' 24 ρ v³) (+' 5 (*' 3 tan²φ) η2 (-' 0 (*' 9 tan²φ η2)))))
;; var VIII = tanφ/(24*ρ*ν3)*(5+3*tan2φ+η2-9*tan2φ*η2);
IX (*' (/ tanφ (*' 720 ρ v⁵)) (+' 61 (*' 90 tan²φ) (*' 45 tan⁴φ)))
VIII (*' (/ tanφ (*' 24 ρ v³)) (+' 5 (*' 3 tan²φ) η2 (-' 0 (*' 9 tan²φ η2))))
;; var IX = tanφ/(720*ρ*ν5)*(61+90*tan2φ+45*tan4φ);
IX (*' (/ tanφ (*' 720 ρ v⁵)) (+' 61 (*' 90 tan²φ) (*' 45 tan⁴φ)))
X (/ secφ v)
XI (*' (/ secφ (*' 6 v³)) (+' (/ v ρ) (*' 2 tan²φ)))
;; var XI = secφ/(6*ν3)*(ν/ρ+2*tan2φ);
XII (*' (/ secφ (*' 120 v⁵)) (+' 5 (*' 28 tan²φ) (*' 24 tan⁴φ)))
XI (*' (/ secφ (*' 6 v³)) (+' (/ v ρ) (*' 2 tan²φ)))
;; var XII = secφ/(120*ν5)*(5+28*tan2φ+24*tan4φ);
XIIA (*' (/ secφ (*' 5040 v⁷)) (+' 61 (*' 622 tan²φ) (*' 1322 tan⁴φ) (*' 720 tan⁶φ)))
XII (*' (/ secφ (*' 120 v⁵)) (+' 5 (*' 28 tan²φ) (*' 24 tan⁴φ)))
;; var XIIA = secφ/(5040*ν7)*(61+662*tan2φ+1320*tan4φ+720*tan6φ);
XIIA (*' (/ secφ (*' 5040 v⁷)) (+' 61 (*' 622 tan²φ) (*' 1322 tan⁴φ) (*' 720 tan⁶φ)))
Δe (-' E E0)
Δe² (reduce *' 1 (repeat 2 Δe))
Δe³ (reduce *' 1 (repeat 3 Δe))
Δe⁴ (reduce *' 1 (repeat 4 Δe))
Δe⁵ (reduce *' 1 (repeat 5 Δe))
Δe⁶ (reduce *' 1 (repeat 6 Δe))
Δe⁷ (reduce *' 1 (repeat 6 Δe))
φ₁ (+' φ (-' 0 (+' VII Δe²)) (*' VIII Δe⁴) (-' 0 (*' IX Δe⁷)))
λ₁ (+' λ0 (*' X Δe) (-' 0 (*' XI Δe³)) (*' IX Δe⁶) (-' 0 (*' XIIA Δe⁷)))]
Δe² (expt Δe 2)
Δe³ (expt Δe 3)
Δe⁴ (expt Δe 4)
Δe⁵ (expt Δe 5)
Δe⁶ (expt Δe 6)
Δe⁷ (expt Δe 7)
;; latitude: this is the one that is badly wrong
;; φ = φ - VII*dE2 + VIII*dE4 - IX*dE6;
φ₁ (-' (+' (-' φ (*' VII Δe²)) (*' VIII Δe⁴)) (*' IX Δe⁶))
;; var λ = λ0 + X*dE - XI*dE3 + XII*dE5 - XIIA*dE7;
λ₁ (-' (+' (-' (+' λ0 (*' X Δe)) (*' XI Δe³)) (*' IX Δe⁵)) (*' XIIA Δe⁷))]
(GeoPoint. (degrees φ₁) (degrees λ₁) :WGS84))))