Vector class
The Vector class
Most of the class code is not optimized for high performance but for readability. You should be able to read the functions and understand what is going on with basic linear algebra knowledge.
The vector can be either a row or column vector. More reading about vectors
final Matrix a = Matrix([[1, 2], [3, 4]]);
final Vector b = Vector.column([2, 3]);
final Matrix e = Matrix([[8], [18]]);
Matrix result = a * b;
print(result);
print(result == e);
This prints
[[8.0], [18.0]]
true
Constructors
-
Vector.column(List<
double> values) -
Creates a column vector from the list of values given.
factory
- Vector.fillColumn(int count, [double fill = 0.0])
-
Creates a column vector with
countelements filled withfillfactory - Vector.fillRow(int count, [double fill = 0.0])
-
Creates a row vector with
countelements filled withfillfactory - Vector.fromMatrix(Matrix matrix)
-
Converts a Matrix to a Vector if one of its dimensions is 1
will throw MatrixInvalidDimensions if that is not the case.
factory
-
Vector.row(List<
double> values) -
Creates a row vector from the list of values given.
factory
Properties
- elements → int
-
Returns the number of elements in the vector.
no setter
- hashCode → int
-
Returns the hashCode for the matrix.
no setteroverride
- runtimeType → Type
-
A representation of the runtime type of the object.
no setterinherited
- type → VectorType
-
Returns the VectorType of the vector.
no setter
Methods
-
crossProduct(
Vector other) → Vector - Calculates the cross product for two 3-dimensional vectors.
-
dotProduct(
Vector other) → double - Calculates the dot product for two 3-dimensional vectors.
-
magnitude(
) → double - Returns the magnitude, length or Euclidean norm of the vector.
-
manhattanNorm(
) → double - Returns the Manhattan norm of the vector.
-
map(
MatrixMapFunc f) → Vector -
Maps this Vector via function
fto a new Vector. -
mean(
) → double - Returns element wise mean of the vector.
-
norm(
) → double - Returns the Euclidean norm of the vector.
-
normalize(
) → Vector - Normalizes this Vector to have magnitude 1.0
-
noSuchMethod(
Invocation invocation) → dynamic -
Invoked when a nonexistent method or property is accessed.
inherited
-
sum(
) → double - Returns element wise sum of the vector.
-
toList(
[bool deepCopy = true]) → List< double> - Returns the List<double> of this Vector
-
toMatrix(
[bool deepCopy = true]) → Matrix - Returns the Matrix representation of this Vector
-
toString(
) → String -
Prints the content of the matrix.
override
-
transpose(
) → Vector - Transposes a Vector from row or column to column or row.
Operators
-
operator *(
dynamic other) → Matrix -
Multiplies two vectors, note the return value is a Matrix. If you need
a scalar result add
0, and if you need the Vector result add .toVector() -
operator +(
Vector other) → Vector - Adds two vectors
-
operator -(
Vector other) → Vector - Subtracts two vectors
-
operator ==(
dynamic other) → bool -
Returns true if the vectors are the same ( or close with 1e-9 relative )
override
-
operator [](
int element) → double -
Access the
element's value in the vector. -
operator []=(
int element, double value) → void - Write values to elements of the vector.
-
operator ~(
) → Vector - Negate all values