PINE LIBRARY
CommonTypesMath
Library "CommonTypesMath"
Provides a common library source for common types of useful mathematical structures.
Includes: `complex, Vector2, Vector3, Vector4, Quaternion, Segment2, Segment3, Pole, Plane, M32, M44`
complex
Representation of a Complex Number, a complex number `z` is a number in the form `z = x + yi`,
Fields:
re: Real part of the complex number.
im: Imaginary part of the complex number.
Vector2
Representation of a two dimentional vector with components `(x:float,y:float)`.
Fields:
x: Coordinate `x` of the vector.
y: Coordinate `y` of the vector.
Vector3
Representation of a three dimentional vector with components `(x:float,y:float,z:float)`.
Fields:
x: Coordinate `x` of the vector.
y: Coordinate `y` of the vector.
z: Coordinate `z` of the vector.
Vector4
Representation of a four dimentional vector with components `(x:float,y:float,z:float,w:float)`.
Fields:
x: Coordinate `x` of the vector.
y: Coordinate `y` of the vector.
z: Coordinate `z` of the vector.
w: Coordinate `w` of the vector.
Quaternion
Representation of a four dimentional vector with components `(x:float,y:float,z:float,w:float)`.
Fields:
x: Coordinate `x` of the vector.
y: Coordinate `y` of the vector.
z: Coordinate `z` of the vector.
w: Coordinate `w` of the vector, specifies the rotation component.
Segment2
Representation of a line in two dimentional space.
Fields:
origin: Origin coordinates.
target: Target coordinates.
Segment3
Representation of a line in three dimentional space.
Fields:
origin: Origin coordinates.
target: Target coordinates.
Pole
Representation of polar coordinates `(radius:float,angle:float)`.
Fields:
radius: Radius of the pole.
angle: Angle in radians of the pole.
Plane
Representation of a 3D plane.
Fields:
normal: Normal vector of the plane.
distance: Distance of the plane along its normal from the origin.
M32
Representation of a 3x2 matrix.
Fields:
m11: First element of the first row.
m12: Second element of the first row.
m21: First element of the second row.
m22: Second element of the second row.
m31: First element of the third row.
m32: Second element of the third row.
M44
Representation of a 4x4 matrix.
Fields:
m11: First element of the first row.
m12: Second element of the first row.
m13: Third element of the first row.
m14: fourth element of the first row.
m21: First element of the second row.
m22: Second element of the second row.
m23: Third element of the second row.
m24: fourth element of the second row.
m31: First element of the third row.
m32: Second element of the third row.
m33: Third element of the third row.
m34: fourth element of the third row.
m41: First element of the fourth row.
m42: Second element of the fourth row.
m43: Third element of the fourth row.
m44: fourth element of the fourth row.
Provides a common library source for common types of useful mathematical structures.
Includes: `complex, Vector2, Vector3, Vector4, Quaternion, Segment2, Segment3, Pole, Plane, M32, M44`
complex
Representation of a Complex Number, a complex number `z` is a number in the form `z = x + yi`,
Fields:
re: Real part of the complex number.
im: Imaginary part of the complex number.
Vector2
Representation of a two dimentional vector with components `(x:float,y:float)`.
Fields:
x: Coordinate `x` of the vector.
y: Coordinate `y` of the vector.
Vector3
Representation of a three dimentional vector with components `(x:float,y:float,z:float)`.
Fields:
x: Coordinate `x` of the vector.
y: Coordinate `y` of the vector.
z: Coordinate `z` of the vector.
Vector4
Representation of a four dimentional vector with components `(x:float,y:float,z:float,w:float)`.
Fields:
x: Coordinate `x` of the vector.
y: Coordinate `y` of the vector.
z: Coordinate `z` of the vector.
w: Coordinate `w` of the vector.
Quaternion
Representation of a four dimentional vector with components `(x:float,y:float,z:float,w:float)`.
Fields:
x: Coordinate `x` of the vector.
y: Coordinate `y` of the vector.
z: Coordinate `z` of the vector.
w: Coordinate `w` of the vector, specifies the rotation component.
Segment2
Representation of a line in two dimentional space.
Fields:
origin: Origin coordinates.
target: Target coordinates.
Segment3
Representation of a line in three dimentional space.
Fields:
origin: Origin coordinates.
target: Target coordinates.
Pole
Representation of polar coordinates `(radius:float,angle:float)`.
Fields:
radius: Radius of the pole.
angle: Angle in radians of the pole.
Plane
Representation of a 3D plane.
Fields:
normal: Normal vector of the plane.
distance: Distance of the plane along its normal from the origin.
M32
Representation of a 3x2 matrix.
Fields:
m11: First element of the first row.
m12: Second element of the first row.
m21: First element of the second row.
m22: Second element of the second row.
m31: First element of the third row.
m32: Second element of the third row.
M44
Representation of a 4x4 matrix.
Fields:
m11: First element of the first row.
m12: Second element of the first row.
m13: Third element of the first row.
m14: fourth element of the first row.
m21: First element of the second row.
m22: Second element of the second row.
m23: Third element of the second row.
m24: fourth element of the second row.
m31: First element of the third row.
m32: Second element of the third row.
m33: Third element of the third row.
m34: fourth element of the third row.
m41: First element of the fourth row.
m42: Second element of the fourth row.
m43: Third element of the fourth row.
m44: fourth element of the fourth row.
Pine library
In true TradingView spirit, the author has published this Pine code as an open-source library so that other Pine programmers from our community can reuse it. Cheers to the author! You may use this library privately or in other open-source publications, but reuse of this code in a publication is governed by House rules.
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