Racoon Math Library

Fixed Point exponential Approximation

/function math:function/exp

Input : scoreboard "In0 RacoonMath" Number Fixed Point, max input value : 46238(= 46.238), min input value : -6907(= -6.907)

Output: this function return the value of the fixed point exponential

Integer Fast exponentiation Approximation

/function math:function/fast_exponentiation

Input : scoreboard "In0 RacoonMath" and "In1 RacoonMath", In0 = base, In1 = power

Output: this function return the value of the base raised to the power

Square Root Approximation

/function math:function/sqrt

Input : scoreboard "In0 RacoonMath" Integer

Output: this function return the square root of the Input

(If you are interested by how it work see heron's method square root approximation)

Fixed Point natural log Approximation

/function math:function/log

Input : scoreboard "In0 RacoonMath" Fixed Point

Output: this function return the fixed point value of the natural log of the Input

(It's an approximation of the integral of 1/x that give us an approximation of natural log)

Sin Approximation

/function math:trigo/sin

Input : Yaw of rotation of the execution (angle in degrees)

Output: return the fixed point sin value of the input

Cos Approximation

/function math:trigo/cos

Same that sin but return the cos value

Tan Approximation

/function math:trigo/tan

Same that sin and cos but return the tan value

Fast Sin Approximation

/function math:trigo/fast_sin

A less accurate but more optimized approximation of sin

Input : scoreboard "In0 RacoonMath" Fixed Point (angle in Radians)

Output: return the fixed point sin value of the input

Fast Cos Approximation

/function math:trigo/fast_cos

same that fast sin but for cos

Unit Vector

/function math:vector/unit_vector

return a 3d vector with angles of the current rotation and length = 1, very accurate

Input : Rotation of the execution (angle in degrees)

Output: storage math:data out (vector)

Unit Vector Input

/function math:vector/unit_vector_input

return a 3d vector with angles of the inputs and length = 1, less accurate

Input : scoreboards "In0 RacoonMath" and "In1 RacoonMath" (angle in radians)

Output: storage math:data out (vector)

Add

/function math:vector/add

return the sum of the two vector with an accuracy of 3 digits after the coma

Input : storage "math:data in" (array of 2 vectors)

Output: storage math:data out (vector)

Subtract

/function math:vector/subtract

return the subtraction of the two vector with an accuracy of 3 digits after the coma

Input : storage "math:data in" (array of 2 vectors)

Output: storage math:data out (vector)

Opposite

/function math:vector/neg

return the opposite vector with an accuracy of 3 digits after the coma

Input : storage "math:data in" (vector)

Output: storage math:data out (vector)

Multiplication by a fixed point

/function math:vector/mult

return the vector multiplied by a fixed point with an accuracy of 3 digits after the coma

Input : storage "math:data in" (vector) and scoreboard "In0 RacoonMath" (fixed point)

Output: storage math:data out (vector)

Normalize

/function math:vector/normalize

return the normalized vector with an accuracy of 3 digits after the coma

Input : storage "math:data in" (vector)

Output: storage math:data out (vector)

Cross product

/function math:vector/cross_product

return the cross product of the two vector with an accuracy of 3 digits after the coma

Input : storage "math:data in" (array of 2 vectors)

Output: storage math:data out (vector)

Dot product

/function math:vector/dot_product

return the dot product of the two vector with an accuracy of 3 digits after the coma

Input : storage "math:data in" (array of 2 vectors)

Output: return a fixed point

Radix

/function math:sort/radix

return a sorted int array

Input : storage "math:data in" (int array to sort), scoreboard "In0 RacoonMath" (number of digits take to sort)

Output: storage "math:data out"

Min

/function math:sort/min

return the minimum of an int array

Input : storage "math:data in" (int array)

Output: return an int

Max

/function math:sort/max

return the maximum of an int array

Input : storage "math:data in" (int array)

Output: return an int

Min Max

/function math:sort/min_max

return the minimum and maximum of an int array

Input : storage "math:data in" (int array)

Output: scoreboard "Out0 RacoonMath" (minimum), scoreboard "Out1 RacoonMath" (maximum)

Tick to hhmmss

/function math:convert/tick_to_hhmmss

convert a tick duration in hours min and sec strings

Input : scoreboard "In0 RacoonMath"

Output: storage "math:data out.hour","math:data out.min","math:data out.sec"

Tick to mmss

/function math:convert/tick_to_mmss

convert a tick duration in min and sec strings

Input : scoreboard "In0 RacoonMath"

Output: storage "math:data out.min","math:data out.sec"

rgb to int

/function math:convert/rgb_to_int

convert rgb in an rgb int

Input : scoreboard "In0 RacoonMath" (Red),scoreboard "In1 RacoonMath" (Green),scoreboard "In2 RacoonMath" (Blue)

Output: return an int

rgba to int

/function math:convert/rgba_to_int

convert rgba in an rgb int

Input : scoreboard "In0 RacoonMath" (Red),scoreboard "In1 RacoonMath" (Green),scoreboard "In2 RacoonMath" (Blue),scoreboard "In3 RacoonMath" (Alpha)

Output: return an int

int to rgb

/function math:convert/int_to_rgb

convert an int in rgb values

Input : scoreboard "In0 RacoonMath"

Output: scoreboard "Out0 RacoonMath" (Red),scoreboard "Out1 RacoonMath" (Green),scoreboard "Out2 RacoonMath" (Blue)

int to rgba

/function math:convert/int_to_rgba

convert an int in rgba values

Input : scoreboard "In0 RacoonMath"

Output: scoreboard "Out0 RacoonMath" (Red),scoreboard "Out1 RacoonMath" (Green),scoreboard "Out2 RacoonMath" (Blue),scoreboard "Out3 RacoonMath" (Alpha)

int to hex

/function math:convert/int_to_hex

convert an int in hexadecimal strings array

Input : scoreboard "In0 RacoonMath"

Output: storage "math:data out"