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--- tools:multi-maths [2019/05/13 12:41] – created lightwolf
+++ tools:multi-maths [2020/05/15 10:20] (current) – [Vector Computations] lightwolf
@@ Line 1: / Line 1: @@
-====== Multi-Maths (preliminary) ======
+====== X-Maths ======
+{{ :tools:x-maths_node_v01.png|}}
+Multi-Maths is a node that attempts to collect all maths functions in a single user interface and node to encourage experimenting with different calculations.
+The node has two scalar inputs (X and Y) as well as two vector inputs (A and B) and two matrix inputs ( M and N)
+The outputs (Scalar, Vector or Matrix) will be the result of the Scalar, Vector or Matrix function (respectively) being computed using the input values.
+The inputs may be swapped around without reconnecting them. This, for example, turns X / Y into Y / X.
+{{ :tools:x-maths_gui_v01.png|}}
+===== Scalar Computations =====
+All of these computations results in a scalar value.
+^Scalar =^Description^
+|X + Y|Adds two scalar values|
+|X - Y|Subtracts two scalar values|
+|X * Y|Multiplies two scalar values|
+|X / Y|Divides two scalar values|
+|pow (X,Y)|Raises X to the power of Y, X<sup>Y</sup>|
+|sqrt(X)|Returns the square root of X|
+|frac(X)|Returns the fractional part of X|
+|int(X)|Returns the non-fractional (integer) part of X|
+|ceil(X)|Rounds X up to the next integer|
+|floor(X)|Rounds X down to the previous integer|
+|fabs(X)|The absolute of X|
+|fmod(X,Y)|The remainder of X/Y|
+|sin(X)|The sine of X, X is expected to be in radians|
+|cos(X)|The cosine of X, X is expected to be in radians|
+|tan(X)|The tangent of X, X is expected to be in radians|
+|asin(X)|The inverse sine of X, returned in radians|
+|acos(X)|The inverse cosine of X, returned in radians|
+|atan(X)|The inverse tangent of X, returned in radians|
+|atan(X / Y)|The inverse sine of X/Y, returned in radians|
+|sinh(X)|The hyperbolic sine of X, X is expected to be in radians|
+|cosh(X)|The hyperbolic cosine of X, X is expected to be in radians|
+|tanh(X)|The hyperbolic tangent of X, X is expected to be in radians|
+|exp(X)|Exponential function, returns e<sup>X</sup>|
+|log(X)|returns the logarithm of X|
+|log10(X)|returns the base 10 logarithm of X|
+|A . B (dot product)|Returns the dot product of the vectors A & B|
+|length(A)|Returns the length of vector A|
+|-X|Inverts X|
+===== Vector Computations =====
+These compute a vector result.
+^Vector =^Description^
+|A + B|Adds two vectors|
+|A - B|Subtracts vector B from A|
+|A * B|Multiplies the components of two vectors|
+|A / B|Divides the components of A by the components of B|
+|A x B (cross product)|Computes the cross product between two vectors, this results in a vector perpendicular to both of them|
+|A * X|Multiplies a vector by a scalar|
+|A / X|Divides a vector by a scalar|
+|normalize(A)|Normalises vector A|
+|A * M|Multiplies a vector by a matrix|
+===== Matrix Computations =====
+The result of these is a 4x4 matrix.
+^Matrix =^Description^
+|M * N|
+|M + N|
+|M - N|
+|-M|Computes the inverse matrix
+|M * X|
+----
+[[https://www.patreon.com/dbw|{{  ::become_a_patron_button.png?nolink|}}]]
+This is the plugin of the month for May 2019, made possible by the finest patrons on [[https://www.patreon.com/dbw|Patreon]].

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