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| TIGL_EXPORT double | tigl::bernstein_poly (int i, int n, double x) |
| | Computes the values of the i-th bernstein polynome with degree n at position x. More...
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| TIGL_EXPORT double | tigl::bernstein_poly_deriv (int k, int i, int n, double x) |
| | Computes the values of the k-th derivative of the i-th bernstein polynome with degree n at position x. More...
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| TIGL_EXPORT int | tigl::binom (int n, int k) |
| | Computes the binomial coefficient (n,k) More...
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| TIGL_EXPORT math_Vector | tigl::cheb_approx (MathFunc1d &func, int N, double a, double b) |
| | Chebycheff approximation of a function f(x), x in [a,b]. More...
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| TIGL_EXPORT math_Matrix | tigl::cheb_to_monomial (int N) |
| | Computes the chebycheff to monomial transformation matrix. More...
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| TIGL_EXPORT double | tigl::class_function (const double &N1, const double &N2, const double &x) |
| | defines the class function C(psi) = psi^N1 * (1-psi)^N2 for a CST air profile curve More...
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| TIGL_EXPORT double | tigl::class_function_deriv (const double &N1, const double &N2, const int &n, const double &x) |
| | defines the derivative of the class function C(psi) = psi^N1 * (1-psi)^N2 for a CST air profile curve More...
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| TIGL_EXPORT double | tigl::cstcurve (const double &N1, const double &N2, const std::vector< double > &B, const double &T, const double &x) |
| | defines the CST air profile curve according to "CST" Universal Paramteric Geometry Representation Method with Applications to Supersonic Aircraft, B.M. Kulfan 2007 More...
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| TIGL_EXPORT double | tigl::cstcurve_deriv (const double &N1, const double &N2, const std::vector< double > &B, const double &T, const int &n, const double &x) |
| | defines the derivative of the CST air profile curve CST(psi)=C(psi)*S(psi) More...
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| TIGL_EXPORT void | tigl::DiagonalizeMatrixByJacobi (const tiglMatrix &M, tiglMatrix &D, tiglMatrix &V) |
| | Diagonalize the given matrix using the jacobi method. More...
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| TIGL_EXPORT double | tigl::distance_point_from_line (const CTiglPoint &P, const CTiglPoint &X0, const CTiglPoint &DX) |
| | Calculates the distance of a point P from the line defined by a point X0 and direction DX. More...
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| TIGL_EXPORT int | tigl::factorial (int n) |
| | Computes the factorial n! in a non recursive fashion. More...
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| TIGL_EXPORT CTiglPoint | tigl::FindOrthogonalVectorToDirection (CTiglPoint direction) |
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| TIGL_EXPORT double | tigl::Interpolate (const std::vector< double > &xdata, const std::vector< double > &ydata, double x) |
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| TIGL_EXPORT bool | tigl::isNear (double a, double b, double epsilon=Precision::Confusion()) |
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| TIGL_EXPORT bool | tigl::IsRotationMatrix (const tiglMatrix &R) |
| | Return true if the matrix is a proper rotation. More...
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| TIGL_EXPORT math_Matrix | tigl::monimial_to_bezier (int N) |
| | Monomial to Bernstein conversion matrix. More...
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| TIGL_EXPORT void | tigl::PolarDecomposition (tiglMatrix const &A, tiglMatrix &U, tiglMatrix &P) |
| | A function that calculates the polar decomposition of a 3x3 matrix A. More...
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| TIGL_EXPORT double | tigl::pow_deriv (double x, double k, int n) |
| | Computes the nth derivative of x^k. More...
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| TIGL_EXPORT double | tigl::pow_int (double x, int n) |
| | Computes the power x^n. More...
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| TIGL_EXPORT double | tigl::quadrilateral_area (const CTiglPoint &A, const CTiglPoint &B, const CTiglPoint &C, const CTiglPoint &D) |
| | Calculated the area of a quadrilateral defined by the 4 corner points A,B,C,D. More...
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| TIGL_EXPORT CTiglPoint | tigl::RotMatrixToIntrinsicXYZVector (const tiglMatrix &R) |
| | Return the intrinsic x y' z'' rotation vector of the rotation matrix. More...
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| TIGL_EXPORT double | tigl::shape_function (const std::vector< double > &B, const double &x) |
| | defines the shape function S(psi)=sum_i=1^N B_i * P_i^n(psi) for a CST air profile curve. The P_i^n are the Bernstein polynomials. More...
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| TIGL_EXPORT double | tigl::shape_function_deriv (const std::vector< double > &B, const int &n, const double &x) |
| | defines the derivative of the shape function S(psi)=sum_i=1^N B_i * P_i^n(psi) for a CST air profile curve. The P_i^n are the Bernstein polynomials. More...
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| TIGL_EXPORT double | tigl::SnapAngle (double degrees, double epsilon=Precision::Confusion()) |
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| TIGL_EXPORT CTiglPoint | tigl::SnapRotation (CTiglPoint rotation, double epsilon=Precision::Confusion()) |
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| TIGL_EXPORT double * | tigl::SnapRotation (double rotation[3], double epsilon=Precision::Confusion()) |
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| TIGL_EXPORT double | tigl::SnapUnitInterval (double number, double epsilon=Precision::Confusion()) |
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| TIGL_EXPORT CTiglPoint | tigl::SnapUnitInterval (CTiglPoint scaling, double epsilon=Precision::Confusion()) |
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| TIGL_EXPORT double * | tigl::SnapUnitInterval (double scaling[3], double epsilon=Precision::Confusion()) |
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| TIGL_EXPORT double | tigl::SnapValue (double number, double snapValue, double delta=Precision::Confusion()) |
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| TIGL_EXPORT void | tigl::SVD (tiglMatrix const &A, tiglMatrix &U, tiglMatrix &S, tiglMatrix &V) |
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