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tools:multi-maths [2019/05/28 13:42]
lightwolf
tools:multi-maths [2020/05/15 10:20] (current)
lightwolf [Vector Computations]
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 {{ :tools:x-maths_gui_v01.png|}} {{ :tools:x-maths_gui_v01.png|}}
 ===== Scalar Computations ===== ===== Scalar Computations =====
 +
 +All of these computations results in a scalar value.
 +
 ^Scalar =^Description^ ^Scalar =^Description^
-|X + Y| +|X + Y|Adds two scalar values
-|X - Y| +|X - Y|Subtracts two scalar values
-|X * Y| +|X * Y|Multiplies two scalar values
-|X / Y| +|X / Y|Divides two scalar values
-|pow (X,Y)| +|pow (X,Y)|Raises X to the power of Y, X<sup>Y</sup>
-|sqrt(X)| +|sqrt(X)|Returns the square root of X
-|frac(X)| +|frac(X)|Returns the fractional part of X
-|int(X)| +|int(X)|Returns the non-fractional (integer) part of X
-|ceil(X)| +|ceil(X)|Rounds X up to the next integer
-|floor(X)| +|floor(X)|Rounds X down to the previous integer
-|fabs(X)| +|fabs(X)|The absolute of X
-|fmod(X,Y)| +|fmod(X,Y)|The remainder of X/Y
-|sin(X)| +|sin(X)|The sine of X, X is expected to be in radians
-|cos(X)| +|cos(X)|The cosine of X, X is expected to be in radians
-|tan(X)| +|tan(X)|The tangent of X, X is expected to be in radians
-|asin(X)| +|asin(X)|The inverse sine of X, returned in radians
-|acos(X)| +|acos(X)|The inverse cosine of X, returned in radians
-|atan(X)| +|atan(X)|The inverse tangent of X, returned in radians
-|atan(X / Y)| +|atan(X / Y)|The inverse sine of X/Y, returned in radians
-|sinh(X)| +|sinh(X)|The hyperbolic sine of X, X is expected to be in radians
-|cosh(X)| +|cosh(X)|The hyperbolic cosine of X, X is expected to be in radians
-|tanh(X)| +|tanh(X)|The hyperbolic tangent of X, X is expected to be in radians
-|exp(X)| +|exp(X)|Exponential function, returns e<sup>X</sup>
-|log(X)| +|log(X)|returns the logarithm of X
-|log10(X)| +|log10(X)|returns the base 10 logarithm of X
-|A . B (dot product)| +|A . B (dot product)|Returns the dot product of the vectors A & B
-|length(A)| +|length(A)|Returns the length of vector A
-|-X|+|-X|Inverts X|
  
 ===== Vector Computations ===== ===== Vector Computations =====
 +
 +These compute a vector result.
  
 ^Vector =^Description^ ^Vector =^Description^
-|A + B| +|A + B|Adds two vectors
-|A - B| +|A - B|Subtracts vector B from A
-|A * B| +|A * B|Multiplies the components of two vectors
-|A / B| +|A / B|Divides the components of A by the components of B| 
-|A x B (cross product)| +|A x B (cross product)|Computes the cross product between two vectors, this results in a vector perpendicular to both of them|  
-|A * X| +|A * X|Multiplies a vector by a scalar
-|A / X| +|A / X|Divides a vector by a scalar
-|normalize(A)| +|normalize(A)|Normalises vector A
-|A * M|+|A * M|Multiplies a vector by a matrix|
  
 ===== Matrix Computations ===== ===== Matrix Computations =====
 +
 +The result of these is a 4x4 matrix.
  
 ^Matrix =^Description^ ^Matrix =^Description^
tools/multi-maths.1559043771.txt.gz · Last modified: 2019/05/28 13:42 by lightwolf