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| template<typename vector_t > |
| void | ug::CalculateTriangleNormal (vector_t &vOut, const vector_t &v1, const vector_t &v2, const vector_t &v3) |
| | Calculates a triangle-normal in 3d (output has length 1). More...
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| |
| template<typename vector_t > |
| void | ug::CalculateTriangleNormalNoNormalize (vector_t &vOut, const vector_t &v1, const vector_t &v2, const vector_t &v3) |
| | Calculates a triangle-normal in 3d (no normalization is performed). More...
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| |
| template<size_t dim> |
| void | ug::GenVecCross (MathVector< dim > &result, const MathVector< dim > &v_1, const MathVector< dim > &v_2) |
| | calculates the usual cross product in 3d, and the (det, 0) vector as a cross product in 2d More...
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| |
| template<> |
| void | ug::GenVecCross< 2 > (MathVector< 2 > &result, const MathVector< 2 > &v_1, const MathVector< 2 > &v_2) |
| | specialization of the "generalized vector product" in 2d. More...
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| |
| template<> |
| void | ug::GenVecCross< 3 > (MathVector< 3 > &result, const MathVector< 3 > &v_1, const MathVector< 3 > &v_2) |
| | specialization of the "generalized vector product" in 3d. More...
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| |
| template<typename vector_t > |
| bool | ug::VecAbsIsLess (const vector_t &v1, const typename vector_t::value_type s) |
| | component-wise comparison of a vector (in the absolute values) with a given number More...
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| |
| template<typename vector_t > |
| bool | ug::VecAbsIsLess (const vector_t &v1, const vector_t &v2) |
| | component-wise comparison of two vectors (in the absolute values) More...
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| |
| template<typename vector_t > |
| void | ug::VecAdd (vector_t &vOut, const vector_t &v, typename vector_t::value_type s) |
| | Add a scalar to a vector (componentwise) More...
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| |
| template<typename vector_t > |
| void | ug::VecAdd (vector_t &vOut, const vector_t &v1, const vector_t &v2) |
| | adds two MathVector<N>s and stores the result in a third one More...
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| |
| template<typename vector_t > |
| void | ug::VecAdd (vector_t &vOut, const vector_t &v1, const vector_t &v2, const vector_t &v3) |
| | adds three MathVector<N>s and stores the result in a fourth one More...
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| |
| template<typename vector_t > |
| void | ug::VecAdd (vector_t &vOut, const vector_t &v1, const vector_t &v2, const vector_t &v3, const vector_t &v4) |
| | adds four MathVector<N>s and stores the result in a firth one More...
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| |
| template<typename vector_t > |
| vector_t::value_type | ug::VecAngle (const vector_t &v1, const vector_t &v2) |
| | returns the angle between two vectors in radiants More...
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| |
| template<typename vector_t > |
| vector_t::value_type | ug::VecAngleNorm (const vector_t &v1, const vector_t &v2) |
| | returns the angle between two vectors of length 1 in radiants More...
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| |
| template<typename vector_t > |
| void | ug::VecAppend (vector_t &vOut, const vector_t &v1) |
| | adds a MathVector<N> to a second one More...
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| |
| template<typename vector_t > |
| void | ug::VecAppend (vector_t &vOut, const vector_t &v1, const vector_t &v2) |
| | adds two MathVector<N>s and adds the result to a third one More...
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| |
| template<typename vector_t > |
| void | ug::VecAppend (vector_t &vOut, const vector_t &v1, const vector_t &v2, const vector_t &v3) |
| | adds two MathVector<N>s and adds the result to a fourth one More...
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| |
| template<typename vector_t > |
| void | ug::VecAppend (vector_t &vOut, const vector_t &v1, const vector_t &v2, const vector_t &v3, const vector_t &v4) |
| | adds two MathVector<N>s and adds the result to a fifth one More...
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| |
| template<typename vector_target_t , typename vector_source_t > |
| void | ug::VecCopy (vector_target_t &target, const vector_source_t &source, typename vector_target_t::value_type fill) |
| | Copy contents between vectors of possibly different types. More...
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| |
| template<typename vector_t > |
| void | ug::VecCross (vector_t &vOut, const vector_t &v1, const vector_t &v2) |
| | calculates the cross product of two Vectors of dimension 3. It makes no sense to use VecCross for vector_ts that have not dimension 3. More...
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| |
| template<typename vector_t > |
| vector_t::value_type | ug::VecDistance (const vector_t &v1, const vector_t &v2) |
| | returns the distance of two vector_ts. More...
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| |
| template<typename TVector , typename TMatrix > |
| TVector::value_type | ug::VecDistanceSq (const TVector &v1, const TVector &v2, const TMatrix &M) |
| | returns the squared distance of two MathVector<N>s. More...
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| |
| template<typename vector_t > |
| vector_t::value_type | ug::VecDistanceSq (const vector_t &v1, const vector_t &v2) |
| | returns the squared distance of two vector_ts. More...
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| |
| template<typename vector_t > |
| vector_t::value_type | ug::VecDot (const vector_t &v1, const vector_t &v2) |
| | returns the dot-product of two vector_ts More...
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| |
| template<typename vector_t > |
| void | ug::VecElemProd (vector_t &vOut, const vector_t &v1, const vector_t &v2) |
| | component-wise product: vOut_i = v1_i*v2_i More...
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| |
| template<typename vector_t > |
| void | ug::VecElemSqrt (vector_t &vOut, const vector_t &v1) |
| | component-wise square root: \(o_i=\sqrt {v_i}\) More...
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| |
| template<typename vector_t > |
| vector_t::value_type | ug::VecInftyNorm (const vector_t &v) |
| |
| template<typename vector_t > |
| void | ug::VecInterpolateLinear (vector_t &vOut, const vector_t &v1, const vector_t &v2, typename vector_t::value_type interpAmount) |
| |
| template<typename vector_t > |
| bool | ug::VecIsInBB (const vector_t &v, const vector_t &low, const vector_t &high) |
| | checks if the given point is in the bounding box given by two other points More...
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| |
| template<typename vector_t > |
| vector_t::value_type | ug::VecLength (const vector_t &v) |
| | returns the length of v. Slower than VecLengthSq. More...
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| |
| template<typename vector_t > |
| vector_t::value_type | ug::VecLengthSq (const vector_t &v) |
| | returns the squared length of v. Faster than VecLength. More...
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| |
| template<typename vector_t > |
| vector_t::value_type | ug::VecMaxNorm (const vector_t &v) |
| |
| template<typename vector_t > |
| void | ug::VecNormalize (vector_t &vOut, const vector_t &v) |
| | scales a vector_t to unit length More...
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| |
| template<typename vector_t > |
| vector_t::value_type | ug::VecOneNorm (const vector_t &v) |
| |
| template<typename vector_t > |
| vector_t::value_type | ug::VecPNorm (const vector_t &v, unsigned int p) |
| |
| template<typename vector_t > |
| void | ug::VecPow (vector_t &vOut, const vector_t &v1, typename vector_t::value_type s) |
| | component-wise exponentiation of a vector More...
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| |
| template<typename vector_t > |
| void | ug::VecScale (vector_t &vOut, const vector_t &v, typename vector_t::value_type s) |
| | scales a MathVector<N> More...
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| |
| template<typename vector_t > |
| void | ug::VecScaleAdd (vector_t &vOut, typename vector_t::value_type s1, const vector_t &v1, typename vector_t::value_type s2, const vector_t &v2) |
| | Scales two Vectors, adds them and returns the sum in a third vector. More...
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| |
| template<typename vector_t > |
| void | ug::VecScaleAdd (vector_t &vOut, typename vector_t::value_type s1, const vector_t &v1, typename vector_t::value_type s2, const vector_t &v2, typename vector_t::value_type s3, const vector_t &v3) |
| | Scales three Vectors, adds them and returns the sum in a fourth vector. More...
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| |
| template<typename vector_t > |
| void | ug::VecScaleAdd (vector_t &vOut, typename vector_t::value_type s1, const vector_t &v1, typename vector_t::value_type s2, const vector_t &v2, typename vector_t::value_type s3, const vector_t &v3, typename vector_t::value_type s4, const vector_t &v4) |
| | Scales four Vectors, adds them and returns the sum in a fifth vector. More...
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| |
| template<typename vector_t > |
| void | ug::VecScaleAppend (vector_t &vOut, typename vector_t::value_type s1, const vector_t &v1) |
| | Scales a Vector and adds it to a second vector. More...
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| |
| template<typename vector_t > |
| void | ug::VecScaleAppend (vector_t &vOut, typename vector_t::value_type s1, const vector_t &v1, typename vector_t::value_type s2, const vector_t &v2) |
| | Scales two Vectors, adds them and adds the sum to a third vector. More...
|
| |
| template<typename vector_t > |
| void | ug::VecScaleAppend (vector_t &vOut, typename vector_t::value_type s1, const vector_t &v1, typename vector_t::value_type s2, const vector_t &v2, typename vector_t::value_type s3, const vector_t &v3) |
| | Scales three Vectors, adds them and adds the sum to a fourth vector. More...
|
| |
| template<typename vector_t > |
| void | ug::VecScaleAppend (vector_t &vOut, typename vector_t::value_type s1, const vector_t &v1, typename vector_t::value_type s2, const vector_t &v2, typename vector_t::value_type s3, const vector_t &v3, typename vector_t::value_type s4, const vector_t &v4) |
| | Scales four Vectors, adds them and adds the sum to a fifth vector. More...
|
| |
| template<typename vector_t > |
| void | ug::VecSet (vector_t &vInOut, typename vector_t::value_type s) |
| | Set each vector component to scalar (componentwise) More...
|
| |
| template<typename vector_t > |
| void | ug::VecSubtract (vector_t &vOut, const vector_t &v, typename vector_t::value_type s) |
| | Subtract a scalar from a vector (componentwise) More...
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| |
| template<typename vector_t > |
| void | ug::VecSubtract (vector_t &vOut, const vector_t &v1, const vector_t &v2) |
| | subtracts v2 from v1 and stores the result in a vOut More...
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| |
| template<typename vector_t > |
| vector_t::value_type | ug::VecTwoNorm (const vector_t &v) |
| |
| template<typename vector_t > |
| vector_t::value_type | ug::VecTwoNormSq (const vector_t &v) |
| |
1.9.1