X-Git-Url: http://git.salome-platform.org/gitweb/?a=blobdiff_plain;f=src%2FHYDROData%2FHYDROData_Lambert93.cxx;h=c7cc478fce7434a89d412c8b1f567511d676a8f1;hb=3ad1721baafb8864b968fe6ef6ab68ecf49a669e;hp=8a5d64fe1d5c14e5e71a977de3d6301262f8b5b2;hpb=439579ec24edd8b147cab07f688d446d59029a1e;p=modules%2Fhydro.git diff --git a/src/HYDROData/HYDROData_Lambert93.cxx b/src/HYDROData/HYDROData_Lambert93.cxx old mode 100755 new mode 100644 index 8a5d64fe..c7cc478f --- a/src/HYDROData/HYDROData_Lambert93.cxx +++ b/src/HYDROData/HYDROData_Lambert93.cxx @@ -17,335 +17,167 @@ // #include - #include - - // Standard values - const double PI = 3.14159265; - - // Base values of the Lambert-93 - const double a = 6378137; // m -- le demi-grand axe - const double f = 1.0 / 298.257222101; // l'aplatissement - - - const double phi_1_deg = 44; // deg -- le premier parallèle d'échelle - const double phi_2_deg = 49; // deg -- le deuxième parallèle d'échell - - - const double lambda_0_deg = 3; // deg -- la longitude d'origine donnée par le méridien central de Greenwich - const double phi_0_deg = 46.5; // deg -- la latitude d'origine - - - const double X_0 = 700000; // m -- la coordonnée à l'origine - const double Y_0 = 6600000; // m -- la coordonnée à l'origine - - // Derived values of the Lambert-93 - const double b = a * ( 1 - f ); // m -- le demi-petit axe - const double e = sqrt( a*a - b*b ) / a; // l'excentricité - - const double phi_0 = HYDROData_Lambert93::toRad( phi_0_deg ); - const double phi_1 = HYDROData_Lambert93::toRad( phi_1_deg ); - const double phi_2 = HYDROData_Lambert93::toRad( phi_2_deg ); - const double lambda_0 = HYDROData_Lambert93::toRad( lambda_0_deg ); - - - - double cot( double x ) - { - return cos( x ) / sin( x ); - } - - double ln( double x ) - { - return log( x ); - } - - const double s1 = sin( phi_1 ); - const double s2 = sin( phi_2 ); - const double c1 = cos( phi_1 ); - const double c2 = cos( phi_2 ); - - const double n1 = ln( c2/c1 ) + 1.0/2.0 * ln( (1-e*e*s1*s1)/(1-e*e*s2*s2) ); - const double n2 = tan( phi_1 / 2 + PI/4 ) * pow( 1-e*s1, e/2 ) * pow( 1+e*s2, e/2 ); - const double n3 = tan( phi_2 / 2 + PI/4 ) * pow( 1+e*s1, e/2 ) * pow( 1-e*s2, e/2 ); - const double n = n1 / ( ln( n2/n3 ) ); - - const double p1 = a * c1 / ( n * sqrt( 1-e*e*s1*s1 ) ); - const double p2 = tan( phi_1 / 2 + PI / 4 ); - const double p3 = pow( (1-e*s1)/(1+e*s1), e/2 ); - const double p_0 = p1 * pow( p2*p3, n ); - - double HYDROData_Lambert93::toRad( double theDeg ) - { - return theDeg * PI / 180.0; - } - - double HYDROData_Lambert93::toDeg( double theRad ) - { - return theRad / PI * 180.0; - } - - double HYDROData_Lambert93::calc_rho( double phi ) - { - double c1 = cot( phi/2 + PI/4 ); - double c2 = ( 1 + e * sin( phi ) ) / ( 1 - e * sin( phi ) ); - double rho = p_0 * pow( c1 * pow( c2, e/2 ), n ); - return rho; - } - - void HYDROData_Lambert93::toXY( double theLatitudeDeg, double theLongitudeDeg, - double& theX, double& theY ) - { - double phi = toRad( theLatitudeDeg ); - double lambda = toRad( theLongitudeDeg ); - - double rho = calc_rho( phi ); - double rho_0 = calc_rho( phi_0 ); - double theta = n * ( lambda - lambda_0 ); - - theX = X_0 + rho * sin( theta ); - theY = Y_0 + rho_0 - rho * cos( theta ); - } - - double arctan( double x ) - { - return atan( x ); - } - - typedef double (*FUNC)( double ); double solve( FUNC f, double c, double x1, double x2, double eps ) - { - double f1 = f( x1 ) - c; - double f2 = f( x2 ) - c; - while( fabs( x1 - x2 ) > eps ) - { - double x = ( x1 + x2 ) / 2; - double fx = f( x ) - c; - bool b1 = f1>=0; - bool b2 = f2>=0; - bool b = fx>=0; - if( b==b1 ) - { - x1 = x; - f1 = fx; - } - else - { - x2 = x; - f2 = fx; - } - } - return ( x1 + x2 ) / 2; - } - - double F( double phi ) - { - double f1 = tan( phi/2 + PI/4 ); - double f2 = ( 1 - e*sin(phi) ) / ( 1 + e*sin(phi) ); - return f1 * pow( f2, e/2 ); - } - - double Finv( double x, double eps ) - { - return solve( F, x, 0, PI/2-eps, eps ); - } - - double HYDROData_Lambert93::calc_phi_inv( double rho, double eps ) - { - double x = pow( p_0 / rho, 1/n ); - double phi = Finv( x, eps ); - return phi; - } - - double HYDROData_Lambert93::calc_phi_ign( double rho, double eps ) - { - double x = p_0 / rho; - double y = pow( x, 1/n ); - double phi_i_1, phi_i = 2*arctan( y ) - PI/2; - while( true ) - { - phi_i_1 = phi_i; - double z = y * pow( ( 1 + e*sin(phi_i_1) ) / ( 1 - e*sin(phi_i_1) ), e/2 ); - phi_i = 2*arctan( pow( x, 1/n ) * z ) - PI/2; - if( fabs( phi_i - phi_i_1 ) < eps ) - return phi_i; - } - return -1; - } - - void HYDROData_Lambert93::toGeo( double theX, double theY, - - double& theLatitudeDeg, double& theLongitudeDeg, - - double theEps ) - + double& theLatitudeDeg, double& theLongitudeDeg, + double theEps ) { - double rho_0 = calc_rho( phi_0 ); - double rho = sqrt( pow( theX - X_0, 2 ) + pow( Y_0 - theY + rho_0, 2 ) ); - double theta = 2 * arctan( ( theX - X_0 ) / ( Y_0 - theY + rho_0 + rho ) ); - - double lambda = theta / n + lambda_0; - double phi = calc_phi_inv( rho, theEps ); - - theLatitudeDeg = toDeg( phi ); - theLongitudeDeg = toDeg( lambda ); - } void HYDROData_Lambert93::DMSToDeg( int theDeg,