Top Level Namespace
- Includes:
- Math
Defined Under Namespace
Modules: CfSim
Instance Method Summary collapse
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#bl2xy(phi, lamda) ⇒ Object
緯度経度を平面直角座標に変換する計算.
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#blxy(phi1, lamda1, k) ⇒ Object
世界測地系で緯度経度を平面直角座標に変換するメソッド.
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#deg2rad(deg) ⇒ Object
度分秒からラジアンへの変換.
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#genten(k) ⇒ Object
座標系原点の緯度経度.
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#kocyou(ido) ⇒ Object
緯度から赤道への子午線弧長を計算する.
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#rad2deg(rad) ⇒ Object
ラジアンから度分秒への変換.
- #suisen(x) ⇒ Object
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#xy2bl(x, y) ⇒ Object
平面直角座標から緯度経度に変換する計算.
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#xybl(phi1, lamda1, k) ⇒ Object
世界測地系で平面直角座標を緯度経度に変換するメソッド.
Instance Method Details
#bl2xy(phi, lamda) ⇒ Object
緯度経度を平面直角座標に変換する計算
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# File 'lib/cblxy.rb', line 41 def bl2xy(phi, lamda) $e = sqrt(2.0 * $F - 1.0) / $F phi1 = deg2rad(phi) lamda1 = deg2rad(lamda) s0 = kocyou($phi0) s1 = kocyou(phi1) ut = $a / sqrt(1.0 - $e ** 2.0 * sin(phi1) ** 2.0) conp = cos(phi1) t1 = tan(phi1) dlamda = lamda1 - $lamda0 eta2 = ($e ** 2.0 / (1.0 - $e ** 2.0)) * conp ** 2.0 #X座標値の算出 v1 = 5.0 - t1 ** 2.0 + 9.0 * eta2 + 4.0 * eta2 ** 2.0 v2 = -61.0 + 58.0 * t1 ** 2.0 - t1 ** 4.0 - 270.0 * eta2 + 330.0 * t1 ** 2.0 * eta2 v3 = -1385.0 + 3111.0 * t1 ** 2.0 - 543.0 * t1 ** 4.0 + t1 ** 6.0 x = ((s1 - s0) + ut * conp ** 2.0 * t1 * dlamda ** 2.0 / 2.0 + ut * conp ** 4.0 * t1 * v1 * dlamda ** 4.0 / 24.0 - ut * conp ** 6.0 * t1 * v2 * dlamda ** 6.0 / 720.0 - ut * conp ** 8.0 * t1 * v3 * dlamda ** 8.0 / 40320.0) * $sbyS #Y座標値の算出 v1 = -1.0 + t1 ** 2.0 - eta2 v2 = -5.0 + 18.0 * t1 ** 2.0 - t1 ** 4.0 - 14.0 * eta2 + 58.0 * t1 ** 2.0 * eta2 v3 = -61.0 + 479.0 * t1 ** 2.0 - 179.0 * t1 ** 4.0 + t1 ** 6.0 y = (ut * conp * dlamda - ut * conp ** 3.0 * v1 * dlamda ** 3.0 / 6.0 - ut * conp ** 5.0 * v2 * dlamda ** 5.0 / 120.0 - ut * conp ** 7.0 * v3 * dlamda ** 7.0 / 5040.0) * $sbyS return [x,y] end |
#blxy(phi1, lamda1, k) ⇒ Object
世界測地系で緯度経度を平面直角座標に変換するメソッド
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# File 'lib/cblxy.rb', line 22 def blxy(phi1, lamda1,k) $a = $aG #GRS80楕円体の定数を代入 $F = $FG genten(k) bl2xy(phi1, lamda1) end |
#deg2rad(deg) ⇒ Object
度分秒からラジアンへの変換
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# File 'lib/cblxy.rb', line 177 def deg2rad(deg) radbase = PI / 180.0 if deg < 0 fugou = -1.0 else fugou = 1.0 end deg = deg.abs angle = (deg / 10000.0).to_i minute = ((deg / 100.0).to_i - (angle * 100.0)).to_f second = deg - (angle * 10000.0) - (minute * 100.0) rad = fugou * (angle + (minute + (second / 60.0)) / 60.0) rad = rad * radbase end |
#genten(k) ⇒ Object
座標系原点の緯度経度
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# File 'lib/cblxy.rb', line 118 def genten(k) err = "座標系が正しく指定されていません" case k when 1 degen = [330000.0,1293000.0] when 2 degen = [330000.0,1310000.0] when 3 degen = [360000.0,1321000.0] when 4 degen = [330000.0,1333000.0] when 5 degen = [360000.0,1342000.0] when 6 degen = [360000.0,1360000.0] when 7 degen = [360000.0,1371000.0] when 8 degen = [360000.0,1383000.0] when 9 degen = [360000.0,1395000.0] when 10 degen = [400000.0,1405000.0] when 11 degen = [440000.0,1401500.0] when 12 degen = [440000.0,1421500.0] when 13 degen = [440000.0,1441500.0] when 14 degen = [260000.0,1420000.0] when 15 degen = [260000.0,1273000.0] when 16 degen = [260000.0,1240000.0] when 17 degen = [260000.0,1310000.0] when 18 degen = [200000.0,1360000.0] when 19 degen = [260000.0,1540000.0] else degen = err end unless degen == err $phi0 = (deg2rad degen[0]) $lamda0 = (deg2rad degen[1]) return [$phi0,$lamda0] else return err end end |
#kocyou(ido) ⇒ Object
緯度から赤道への子午線弧長を計算する
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# File 'lib/cblxy.rb', line 218 def kocyou(ido) e2 = $e ** 2.0 e4 = $e ** 4.0 e6 = $e ** 6.0 e8 = $e ** 8.0 e10 = $e ** 10.0 e12 = $e ** 12.0 e14 = $e ** 14.0 e16 = $e ** 16.0 a = 1.0 + 3.0 / 4.0 * e2 + 45.0 / 64.0 * e4 + 175.0 / 256.0 * e6 + 11025.0 / 16384.0 * e8 + 43659.0 / 65536.0 * e10 + 693693.0 / 1048576.0 * e12 + 19324305.0 / 29360128.0 * e14 + 4927697775.0 / 7516192768.0 * e16 b = 3.0 / 4.0 * e2 + 15.0 / 16.0 * e4 + 525.0 / 512.0 * e6 + 2205.0 / 2048.0 * e8 + 72765.0 / 65536.0 * e10 + 297297.0 / 262144.0 * e12 + 135270135.0 / 117440512.0 * e14 + 547521975.0 / 469762048.0 * e16 c = 15.0 / 64.0 * e4 + 105.0 / 256.0 * e6 + 2205.0 / 4096.0 * e8 + 10395.0 / 16384.0 * e10 + 1486485.0 / 2097152.0 * e12 + 45090045.0 / 58720256.0 * e14 + 766530765.0 / 939524096.0 * e16 d = 35.0 / 512.0 * e6 + 315.0 / 2048.0 * e8 + 31185.0 / 131072.0 * e10 + 165165.0 / 524288.0 * e12 + 45090045.0 / 117440512.0 * e14 + 209053845.0 / 469762048.0 * e16 e = 315.0 / 16384.0 * e8 + 3465.0 / 65536.0 * e10 + 99099.0 / 1048576.0 * e12 + 4099095.0 / 29360128.0 * e14 + 348423075.0 / 1879048192.0 * e16 f = 693.0 / 131072 * e10 + 9009.0 / 524288.0 * e12 + 4099095.0 / 117440512.0 * e14 + 26801775.0 / 469762048.0 * e16 g = 3003 / 2097152.0 * e12 + 315315.0 / 58720256.0 * e14 + 11486475.0 / 939524096.0 * e16 h = 45045.0 / 117440512.0 * e14 + 765765.0 / 469762048.0 * e16 i = 765765.0 / 7516192768.0 * e16 sigosen = $a * (1.0 - e2) * (a * ido - b * sin(ido * 2.0) / 2.0 + c * sin(ido * 4.0) / 4.0 - d * sin(ido * 6.0) / 6.0 + e * sin(ido * 8.0) / 8.0 - f * sin(ido * 10.0) / 10.0 + g * sin(ido * 12.0) / 12.0 - h * sin(ido * 14.0) / 14.0 + i * sin(ido * 16.0) / 16.0) end |
#rad2deg(rad) ⇒ Object
ラジアンから度分秒への変換
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# File 'lib/cblxy.rb', line 196 def rad2deg(rad) degbase = 180.0 / PI if rad < 0 fugou = -1.0 else fugou = 1.0 end rad = rad.abs rad = rad * degbase angle = rad.to_i rad = (rad - angle).to_f * 60.0 minute = rad.to_i second = (rad - minute).to_f * 60.0 deg = fugou * (angle * 10000.0 + minute * 100.0 + second) end |
#suisen(x) ⇒ Object
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# File 'lib/cblxy.rb', line 241 def suisen(x) s0 = kocyou($phi0) m = s0 + x / $sbyS cnt = 0 phin = $phi0 e2 = $e ** 2.0 phi0 = phin while cnt = cnt + 1 phi0 = phin sn = kocyou(phin) v1 = 2.0 * (sn - m) * ((1.0 - e2 * sin(phin) ** 2.0) ** 1.5) v2 = 3.0 * e2 * (sn - m) * sin(phin) * cos(phin) * sqrt(1.0 - e2 * sin(phin) ** 2.0) - 2.0 * $a * (1.0 - e2) phin = phin +v1 / v2 if ((phin - phi0).abs < 0.00000000000001) or cnt > 100 break end end return phin end |
#xy2bl(x, y) ⇒ Object
平面直角座標から緯度経度に変換する計算
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# File 'lib/cblxy.rb', line 75 def xy2bl(x,y) $e = sqrt(2.0 * $F - 1.0) / $F phi1 = suisen(x) ut = $a / sqrt( 1.0 - $e ** 2.0 * sin(phi1) ** 2.0) conp = cos(phi1) t1 = tan(phi1) eta2 = ($e ** 2.0 / (1.0 - $e ** 2.0)) * conp ** 2.0 #緯度算出 yy = y / $sbyS v1 = 1.0 + eta2 v2 = 5.0 + 3.0 * t1 ** 2.0 + 6.0 * eta2 - 6.0 * t1 ** 2.0 * eta2 - 3.0 * eta2 ** 2.0 - 9.0 * t1 ** 2.0 * eta2 ** 2.0 v3 = 61.0 + 90.0 * t1 ** 2.0 + 45.0 * t1 ** 4.0 + 107.0 * eta2 - 162.0 * t1 ** 2.0 * eta2 - 45.0 * t1 ** 4.0 * eta2 v4 = 1385.0 + 3633.0 * t1 ** 2.0 + 4095.0 * t1 ** 4.0 + 1575.0 * t1 ** 6.0 phir = -(v1 / (2.0 * ut ** 2.0)) * yy ** 2.0 phir = phir + (v2 / (24.0 * ut ** 4.0)) * yy ** 4.0 phir = phir - (v3 / (720.0 * ut ** 6.0)) * yy ** 6.0 phir = phir + (v4 / (40320.0 * ut ** 8.0)) * yy ** 8.0 phir = phir * t1 phir = phir + phi1 phir = rad2deg(phir) #経度算出 v1 = ut * conp v2 = 1.0 + 2.0 * t1 ** 2.0 + eta2 v3 = 5.0 + 28.0 * t1 ** 2.0 + 24.0 * t1 ** 4.0 + 6.0 * eta2 + 8.0 * t1 ** 2.0 * eta2 v4 = 61.0 + 662.0 * t1 ** 2.0 + 1320.0 * t1 ** 4.0 + 720.0 * t1 ** 6.0 lamdar = (1.0 / v1) * yy lamdar = lamdar - (v2 / (6.0 * ut ** 2.0 * v1)) * yy ** 3.0 lamdar = lamdar + (v3 / (120.0 * ut ** 4.0 * v1)) * yy ** 5.0 lamdar = lamdar - (v4 / (5040.0 * ut ** 6.0 * v1)) * yy ** 7.0 lamdar = lamdar + $lamda0 lamdar = rad2deg(lamdar) return [phir,lamdar] end |