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matrix module
1.00.00
www.protokollkonverter.de
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Functions | |
| VECTOR | vectorNew (const size_t dimension) |
| create a new column vector More... | |
| void | vectorDelete (VECTOR *v) |
| free memory allocated by vectorNew More... | |
| bool | vectorGetDimension (VECTOR v, size_t *dimension) |
| get dimension of vector More... | |
| bool | vectorEquals (VECTOR v, VECTOR w) |
| compare two vectors More... | |
| bool | vectorSetElement (VECTOR v, const size_t row, MATRIX_VALUE value) |
| set one element in vector More... | |
| bool | vectorGetElement (VECTOR v, const size_t row, MATRIX_VALUE *value) |
| get one element in vector More... | |
| bool | vectorSet (VECTOR v, const MATRIX_VALUE values[], const size_t valuesCount) |
| set all values of vector More... | |
| bool | vectorGet (VECTOR v, MATRIX_VALUE values[], size_t *valuesCount) |
| get all values of vector More... | |
| VECTOR | vectorAddition (VECTOR v, VECTOR w) |
| add two vectors More... | |
| VECTOR | vectorSubstraction (VECTOR v, VECTOR w) |
| subtract a vector More... | |
| VECTOR | vectorMultiplicationScalar (VECTOR v, MATRIX_VALUE scalar) |
| multiply a vector with scalar More... | |
| bool | vectorDotProduct (VECTOR v, VECTOR w, MATRIX_VALUE *product) |
| dot product of two vectors More... | |
| VECTOR | vectorCrossProduct (VECTOR v, VECTOR w) |
| cross product of two vectors More... | |
| bool | vectorScalarTripleProduct (VECTOR v, VECTOR w, VECTOR x, MATRIX_VALUE *product) |
| scalar triple product of three vectors More... | |
| MATRIX | vectorOuterProduct (VECTOR v, VECTOR w) |
| outer product of two vectors More... | |
| bool | vectorLength (VECTOR v, MATRIX_VALUE *length) |
| calculate length of vector More... | |
| VECTOR | vectorClone (VECTOR v) |
| clone a vector More... | |
Variables | |
| static const size_t | index_a [VECTOR_STANDARD_DIMENSION] = {1, 2, 0} |
| static const size_t | index_b [VECTOR_STANDARD_DIMENSION] = {2, 0, 1} |
| VECTOR vectorNew | ( | const size_t | dimension | ) |
create a new column vector
Function allocates memory for a new vector of given dimension. All elements are set to 0.
| [in] | dimension | rows of vector to create |


| void vectorDelete | ( | VECTOR * | v | ) |
free memory allocated by vectorNew
Function frees memory of vector created by vectorNew. The vector pointer v will be set to NULL.
| [in,out] | v | pointer to vector do delete |


| bool vectorGetDimension | ( | VECTOR | v, |
| size_t * | dimension | ||
| ) |
get dimension of vector
Function sets dimension of vector in parameter dimension.
| [out] | dimension | address of variable dimension to insert count of rows of vector |

compare two vectors
Function compares dimensions and values of two vectors.
| [in] | v | vector 1 to compare |
| [in] | w | vector 2 to compare |

| bool vectorSetElement | ( | VECTOR | v, |
| const size_t | row, | ||
| MATRIX_VALUE | value | ||
| ) |
set one element in vector
Function sets the value of one element in vector. Rows are count from 0..(dimension of vector - 1).
| [in] | v | vector to set value in |
| [in] | row | row of element |
| [in] | value | value to set to element |


| bool vectorGetElement | ( | VECTOR | v, |
| const size_t | row, | ||
| MATRIX_VALUE * | value | ||
| ) |
get one element in vector
Function gets the value of one element in vector. Rows are count from 0..(dimension of vector - 1).
| [in] | v | vector to get value from |
| [in] | row | row of element |
| [out] | value | pointer to value to set value to element in |


| bool vectorSet | ( | VECTOR | v, |
| const MATRIX_VALUE | values[], | ||
| const size_t | valuesCount | ||
| ) |
set all values of vector
Function sets all values of vectors.
| [in] | v | vector to set values in |
| [in] | values | values to set to element |
| [in] | valuesCount | count of values in array |

| bool vectorGet | ( | VECTOR | v, |
| MATRIX_VALUE | values[], | ||
| size_t * | valuesCount | ||
| ) |
get all values of vector
Function gets all values of vectors.
| [in] | v | vector to get values from |
| [out] | values | pointer to values to set values in |
| [in,out] | valuesCount | count of values in array contains afterwards count of copied values |

add two vectors
Function adds two vectors.
| [in] | v | vector 1 to add |
| [in] | w | vector 2 to add |

subtract a vector
Function subtract a vector from another vector \(\vec y = \vec v - \vec w\).
| [in] | v | vector to subtract from |
| [in] | w | vector to subtract |

| VECTOR vectorMultiplicationScalar | ( | VECTOR | v, |
| MATRIX_VALUE | scalar | ||
| ) |
multiply a vector with scalar
Function multiplies a vector with scalar value \(\vec y = \vec v * scalar\).
| [in] | v | vector to multiply |
| [in] | scalar | value to multiply vector with |

| bool vectorDotProduct | ( | VECTOR | v, |
| VECTOR | w, | ||
| MATRIX_VALUE * | product | ||
| ) |
dot product of two vectors
Function multiplies two vectors to get dot product as scalar \(product = \vec v \cdot \vec w\).
| [in] | v | vector to multiply |
| [in] | w | vector to multiply |
| [out] | product | result value of dot multiplication |


cross product of two vectors
Function multiplies two vectors to get cross product vector \(\vec y = \vec v \times \vec w \).
| [in] | v | vector to multiply |
| [in] | w | vector to multiply |


| bool vectorScalarTripleProduct | ( | VECTOR | v, |
| VECTOR | w, | ||
| VECTOR | x, | ||
| MATRIX_VALUE * | product | ||
| ) |
scalar triple product of three vectors
Function multiplies three vectors to get the scalar triple product \(product = (\vec v \times \vec w) \cdot \vec x \).
| [in] | v | vector to multiply |
| [in] | w | vector to multiply |
| [in] | x | vector to multiply |
| [out] | product | result value of multiplication |

outer product of two vectors
Function multiplies two vectors to get outer product matrix \(A = \vec v \otimes \vec w \).
| [in] | v | vector to multiply |
| [in] | w | vector to multiply |

| bool vectorLength | ( | VECTOR | v, |
| MATRIX_VALUE * | length | ||
| ) |
calculate length of vector
Function calculates length of vector by \(\sqrt{a_{0}^{2} + a_{1}^{2} + ... + a_{(rows-1)}^{2}}\)
| [in] | v | vector to multiply |
| [in] | w | vector to multiply |

clone a vector
Function clones a vector.
Function creates a new vector with the same dimension and values like given vector.
| [in] | v | vector to clone |

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