CommonTypesMathLibrary "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.
Structure
MarketStructureLibrary "MarketStructure"
This library contains functions for identifying Lows and Highs in a rule-based way, and deriving useful information from them.
f_simpleLowHigh()
This function finds Local Lows and Highs, but NOT in order. A Local High is any candle that has its Low taken out on close by a subsequent candle (and vice-versa for Local Lows).
The Local High does NOT have to be the candle with the highest High out of recent candles. It does NOT have to be a Williams High. It is not necessarily a swing high or a reversal or anything else.
It doesn't have to be "the" high, so don't be confused.
By the rules, Local Lows and Highs must alternate. In this function they do not, so I'm calling them Simple Lows and Highs.
Simple Highs and Lows, by the above definition, can be useful for entries and stops. Because I intend to use them for stops, I want them all, not just the ones that alternate in strict order.
@param - there are no parameters. The function uses the chart OHLC.
@returns boolean values for whether this bar confirms a Simple Low/High, and ints for the bar_index of that Low/High.
f_localLowHigh()
This function finds Local Lows and Highs, in order. A Local High is any candle that has its Low taken out on close by a subsequent candle (and vice-versa for Local Lows).
The Local High does NOT have to be the candle with the highest High out of recent candles. It does NOT have to be a Williams High. It is not necessarily a swing high or a reversal or anything else.
By the rules, Local Lows and Highs must alternate, and in this function they do.
@param - there are no parameters. The function uses the chart OHLC.
@returns boolean values for whether this bar confirms a Local Low/High, and ints for the bar_index of that Low/High.
f_enhancedSimpleLowHigh()
This function finds Local Lows and Highs, but NOT in order. A Local High is any candle that has its Low taken out on close by a subsequent candle (and vice-versa for Local Lows).
The Local High does NOT have to be the candle with the highest High out of recent candles. It does NOT have to be a Williams High. It is not necessarily a swing high or a reversal or anything else.
By the rules, Local Lows and Highs must alternate. In this function they do not, so I'm calling them Simple Lows and Highs.
Simple Highs and Lows, by the above definition, can be useful for entries and stops. Because I intend to use them for trailing stops, I want them all, not just the ones that alternate in strict order.
The difference between this function and f_simpleLowHigh() is that it also tracks the lowest/highest recent level. This level can be useful for trailing stops.
In effect, these are like more "normal" highs and lows that you would pick by eye, but confirmed faster in many cases than by waiting for the low/high of that particular candle to be taken out on close,
because they are instead confirmed by ANY subsequent candle having its low/high exceeded. Hence, I call these Enhanced Simple Lows/Highs.
The levels are taken from the extreme highs/lows, but the bar indexes are given for the candles that were actually used to confirm the Low/High.
This is by design, because it might be misleading to label the extreme, since we didn't use that candle to confirm the Low/High..
@param - there are no parameters. The function uses the chart OHLC.
@returns - boolean values for whether this bar confirms an Enhanced Simple Low/High
ints for the bar_index of that Low/High
floats for the values of the recent high/low levels
floats for the trailing high/low levels (for debug/post-processing)
bools for market structure bias
f_trueLowHigh()
This function finds True Lows and Highs.
A True High is the candle with the highest recent high, which then has its low taken out on close by a subsequent candle (and vice-versa for True Lows).
The difference between this and an Enhanced High is that confirmation requires not just any Simple High, but confirmation of the very candle that has the highest high.
Because of this, confirmation is often later, and multiple Simple Highs and Lows can develop within ranges formed by a single big candle without any of them being confirmed. This is by design.
A True High looks like the intuitive "real high" when you look at the chart. True Lows and Highs must alternate.
@param - there are no parameters. The function uses the chart OHLC.
@returns - boolean values for whether this bar confirms an Enhanced Simple Low/High
ints for the bar_index of that Low/High
floats for the values of the recent high/low levels
floats for the trailing high/low levels (for debug/post-processing)
bools for market structure bias
