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ROOT 6.16/01 Reference Guide |
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ROOT 6.16/01 Reference Guide |
These functions apply to SVector types (and also to Vector expressions) and can return a vector expression or a scalar, like in the Dot product, or a matrix, like in the Tensor product.
Functions | |
| template<class T > | |
| SVector< T, 3 > | ROOT::Math::Cross (const SVector< T, 3 > &lhs, const SVector< T, 3 > &rhs) |
| Vector Cross Product (only for 3-dim vectors) \( \vec{c} = \vec{a}\times\vec{b} \). More... | |
| template<class T , unsigned int D> | |
| T | ROOT::Math::Dot (const SVector< T, D > &lhs, const SVector< T, D > &rhs) |
| Vector dot product. More... | |
| template<class T , unsigned int D> | |
| VecExpr< UnaryOp< Fabs< T >, SVector< T, D >, T >, T, D > | ROOT::Math::fabs (const SVector< T, D > &rhs) |
| abs of a vector : v2(i) = | v1(i) | returning a vector expression More... | |
| template<class T > | |
| T | ROOT::Math::Lmag (const SVector< T, 4 > &rhs) |
| Lmag: Minkowski Lorentz-Vector norm (only for 4-dim vectors) Length of a vector Lorentz-Vector: \( |\vec{v}| = \sqrt{v_0^2 - v_1^2 - v_2^2 -v_3^2} \). More... | |
| template<class T > | |
| T | ROOT::Math::Lmag2 (const SVector< T, 4 > &rhs) |
| Lmag2: Square of Minkowski Lorentz-Vector norm (only for 4D Vectors) Template to compute \( |\vec{v}|^2 = v_0^2 - v_1^2 - v_2^2 -v_3^2 \). More... | |
| template<class T , unsigned int D> | |
| T | ROOT::Math::Mag (const SVector< T, D > &rhs) |
| Vector magnitude (Euclidian norm) Compute : \( |\vec{v}| = \sqrt{\sum_iv_i^2} \). More... | |
| template<class T , unsigned int D> | |
| T | ROOT::Math::Mag2 (const SVector< T, D > &rhs) |
| Vector magnitude square Template to compute \(|\vec{v}|^2 = \sum_iv_i^2 \). More... | |
| template<class T , unsigned int D> | |
| VecExpr< BinaryOp< MulOp< T >, SVector< T, D >, SVector< T, D >, T >, T, D > | ROOT::Math::operator* (const SVector< T, D > &lhs, const SVector< T, D > &rhs) |
| Element by element vector product v3(i) = v1(i)*v2(i) returning a vector expression. More... | |
| template<class A , class T , unsigned int D> | |
| VecExpr< BinaryOpCopyL< AddOp< T >, Constant< A >, SVector< T, D >, T >, T, D > | ROOT::Math::operator+ (const A &lhs, const SVector< T, D > &rhs) |
| Addition of a scalar to each vector element v2(i) = a + v1(i) returning a vector expression. More... | |
| template<class A , class T , unsigned int D> | |
| VecExpr< BinaryOpCopyR< AddOp< T >, SVector< T, D >, Constant< A >, T >, T, D > | ROOT::Math::operator+ (const SVector< T, D > &lhs, const A &rhs) |
| Addition of a scalar to a each vector element: v2(i) = v1(i) + a returning a vector expression. More... | |
| template<class T , unsigned int D> | |
| VecExpr< BinaryOp< AddOp< T >, SVector< T, D >, SVector< T, D >, T >, T, D > | ROOT::Math::operator+ (const SVector< T, D > &lhs, const SVector< T, D > &rhs) |
| Addition of two vectors v3 = v1+v2 returning a vector expression. More... | |
| template<class A , class T , unsigned int D> | |
| VecExpr< BinaryOpCopyL< MinOp< T >, Constant< A >, SVector< T, D >, T >, T, D > | ROOT::Math::operator- (const A &lhs, const SVector< T, D > &rhs) |
| Subtraction scalar vector (for each vector element) v2(i) = a - v1(i) returning a vector expression. More... | |
| template<class A , class T , unsigned int D> | |
| VecExpr< BinaryOpCopyR< MinOp< T >, SVector< T, D >, Constant< A >, T >, T, D > | ROOT::Math::operator- (const SVector< T, D > &lhs, const A &rhs) |
| Subtraction of a scalar from each vector element: v2(i) = v1(i) - a returning a vector expression. More... | |
| template<class T , unsigned int D> | |
| VecExpr< BinaryOp< MinOp< T >, SVector< T, D >, SVector< T, D >, T >, T, D > | ROOT::Math::operator- (const SVector< T, D > &lhs, const SVector< T, D > &rhs) |
| Vector Subtraction: v3 = v1 - v2 returning a vector expression. More... | |
| template<class T , unsigned int D> | |
| VecExpr< UnaryOp< Minus< T >, SVector< T, D >, T >, T, D > | ROOT::Math::operator- (const SVector< T, D > &rhs) |
| Unary - operator v2 = -v1 . More... | |
| template<class A , class T , unsigned int D> | |
| VecExpr< BinaryOpCopyL< DivOp< T >, Constant< A >, SVector< T, D >, T >, T, D > | ROOT::Math::operator/ (const A &lhs, const SVector< T, D > &rhs) |
| Division of a scalar value by the vector element: v2(i) = a/v1(i) returning a vector expression. More... | |
| template<class A , class T , unsigned int D> | |
| VecExpr< BinaryOpCopyR< DivOp< T >, SVector< T, D >, Constant< A >, T >, T, D > | ROOT::Math::operator/ (const SVector< T, D > &lhs, const A &rhs) |
| Division of the vector element by a scalar value: v2(i) = v1(i)/a returning a vector expression. More... | |
| template<class T , unsigned int D> | |
| VecExpr< BinaryOp< DivOp< T >, SVector< T, D >, SVector< T, D >, T >, T, D > | ROOT::Math::operator/ (const SVector< T, D > &lhs, const SVector< T, D > &rhs) |
| Element by element division of vectors of the same dimension: v3(i) = v1(i)/v2(i) returning a vector expression. More... | |
| template<class T , unsigned int D> | |
| VecExpr< UnaryOp< Sqr< T >, SVector< T, D >, T >, T, D > | ROOT::Math::sqr (const SVector< T, D > &rhs) |
| square of a vector v2(i) = v1(i)*v1(i) . More... | |
| template<class T , unsigned int D> | |
| VecExpr< UnaryOp< Sqrt< T >, SVector< T, D >, T >, T, D > | ROOT::Math::sqrt (const SVector< T, D > &rhs) |
| square root of a vector (element by element) v2(i) = sqrt( v1(i) ) returning a vector expression More... | |
| template<class T , unsigned int D1, unsigned int D2> | |
| Expr< TensorMulOp< SVector< T, D1 >, SVector< T, D2 > >, T, D1, D2 > | ROOT::Math::TensorProd (const SVector< T, D1 > &lhs, const SVector< T, D2 > &rhs) |
| Tensor Vector Product : M(i,j) = v(i) * v(j) returning a matrix expression. More... | |
| template<class T , unsigned int D> | |
| SVector< T, D > | ROOT::Math::Unit (const SVector< T, D > &rhs) |
| Unit. More... | |
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Vector Cross Product (only for 3-dim vectors) \( \vec{c} = \vec{a}\times\vec{b} \).
Definition at line 322 of file Functions.h.
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Vector dot product.
Template to compute \(\vec{a}\cdot\vec{b} = \sum_i a_i\cdot b_i \).
Definition at line 164 of file Functions.h.
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abs of a vector : v2(i) = | v1(i) | returning a vector expression
Definition at line 149 of file UnaryOperators.h.
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Lmag: Minkowski Lorentz-Vector norm (only for 4-dim vectors) Length of a vector Lorentz-Vector: \( |\vec{v}| = \sqrt{v_0^2 - v_1^2 - v_2^2 -v_3^2} \).
Definition at line 299 of file Functions.h.
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Lmag2: Square of Minkowski Lorentz-Vector norm (only for 4D Vectors) Template to compute \( |\vec{v}|^2 = v_0^2 - v_1^2 - v_2^2 -v_3^2 \).
Definition at line 275 of file Functions.h.
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Vector magnitude (Euclidian norm) Compute : \( |\vec{v}| = \sqrt{\sum_iv_i^2} \).
Definition at line 252 of file Functions.h.
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Vector magnitude square Template to compute \(|\vec{v}|^2 = \sum_iv_i^2 \).
Definition at line 229 of file Functions.h.
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Element by element vector product v3(i) = v1(i)*v2(i) returning a vector expression.
Note this is NOT the Dot, Cross or Tensor product.
Definition at line 548 of file BinaryOperators.h.
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Addition of a scalar to each vector element v2(i) = a + v1(i) returning a vector expression.
Definition at line 133 of file BinaryOperators.h.
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Addition of a scalar to a each vector element: v2(i) = v1(i) + a returning a vector expression.
Definition at line 116 of file BinaryOperators.h.
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Addition of two vectors v3 = v1+v2 returning a vector expression.
Definition at line 62 of file BinaryOperators.h.
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Subtraction scalar vector (for each vector element) v2(i) = a - v1(i) returning a vector expression.
Definition at line 377 of file BinaryOperators.h.
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Subtraction of a scalar from each vector element: v2(i) = v1(i) - a returning a vector expression.
Definition at line 360 of file BinaryOperators.h.
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Vector Subtraction: v3 = v1 - v2 returning a vector expression.
Definition at line 306 of file BinaryOperators.h.
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Unary - operator v2 = -v1 .
returning a vector expression
Definition at line 74 of file UnaryOperators.h.
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Division of a scalar value by the vector element: v2(i) = a/v1(i) returning a vector expression.
Definition at line 854 of file BinaryOperators.h.
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Division of the vector element by a scalar value: v2(i) = v1(i)/a returning a vector expression.
Definition at line 837 of file BinaryOperators.h.
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Element by element division of vectors of the same dimension: v3(i) = v1(i)/v2(i) returning a vector expression.
Definition at line 784 of file BinaryOperators.h.
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square of a vector v2(i) = v1(i)*v1(i) .
returning a vector expression
Definition at line 224 of file UnaryOperators.h.
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square root of a vector (element by element) v2(i) = sqrt( v1(i) ) returning a vector expression
Definition at line 299 of file UnaryOperators.h.
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Tensor Vector Product : M(i,j) = v(i) * v(j) returning a matrix expression.
Definition at line 883 of file MatrixFunctions.h.
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Unit.
Return a vector of unit length: \( \vec{e}_v = \vec{v}/|\vec{v}| \).
Definition at line 381 of file Functions.h.
ROOT 6.16/01 - Reference Guide Generated on Sun Dec 19 2021 22:28:19 (GVA Time) using Doxygen 1.9.3 (234637167bd5d39d32bf51f755d58253441f123a).