mirror of
https://github.com/CHOMPStation2/CHOMPStation2.git
synced 2025-12-10 18:22:39 +00:00
132 lines
2.8 KiB
Plaintext
132 lines
2.8 KiB
Plaintext
// Macro functions.
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#define RAND_F(LOW, HIGH) (rand()*(HIGH-LOW) + LOW)
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#define ceil(x) (-round(-(x)))
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// min is inclusive, max is exclusive
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/proc/Wrap(val, min, max)
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var/d = max - min
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var/t = Floor((val - min) / d)
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return val - (t * d)
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/proc/Default(a, b)
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return a ? a : b
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// Trigonometric functions.
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/proc/Tan(x)
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return sin(x) / cos(x)
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/proc/Csc(x)
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return 1 / sin(x)
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/proc/Sec(x)
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return 1 / cos(x)
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/proc/Cot(x)
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return 1 / Tan(x)
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/proc/Atan2(x, y)
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if(!x && !y) return 0
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var/a = arccos(x / sqrt(x*x + y*y))
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return y >= 0 ? a : -a
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/proc/Floor(x)
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return round(x)
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/proc/Ceiling(x)
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return -round(-x)
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// Greatest Common Divisor: Euclid's algorithm.
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/proc/Gcd(a, b)
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while (1)
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if (!b) return a
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a %= b
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if (!a) return b
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b %= a
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// Least Common Multiple. The formula is a consequence of: a*b = LCM*GCD.
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/proc/Lcm(a, b)
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return abs(a) * abs(b) / Gcd(a, b)
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// Useful in the cases when x is a large expression, e.g. x = 3a/2 + b^2 + Function(c)
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/proc/Square(x)
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return x*x
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/proc/Inverse(x)
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return 1 / x
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// Condition checks.
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/proc/IsAboutEqual(a, b, delta = 0.1)
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return abs(a - b) <= delta
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// Returns true if val is from min to max, inclusive.
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/proc/IsInRange(val, min, max)
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return (val >= min) && (val <= max)
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/proc/IsInteger(x)
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return Floor(x) == x
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/proc/IsMultiple(x, y)
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return x % y == 0
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/proc/IsEven(x)
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return !(x & 0x1)
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/proc/IsOdd(x)
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return (x & 0x1)
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// Performs a linear interpolation between a and b.
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// Note: weight=0 returns a, weight=1 returns b, and weight=0.5 returns the mean of a and b.
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/proc/Interpolate(a, b, weight = 0.5)
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return a + (b - a) * weight // Equivalent to: a*(1 - weight) + b*weight
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/proc/Mean(...)
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var/sum = 0
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for(var/val in args)
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sum += val
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return sum / args.len
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// Returns the nth root of x.
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/proc/Root(n, x)
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return x ** (1 / n)
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// The quadratic formula. Returns a list with the solutions, or an empty list
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// if they are imaginary.
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/proc/SolveQuadratic(a, b, c)
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ASSERT(a)
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. = list()
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var/discriminant = b*b - 4*a*c
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var/bottom = 2*a
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// Return if the roots are imaginary.
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if(discriminant < 0)
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return
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var/root = sqrt(discriminant)
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. += (-b + root) / bottom
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// If discriminant == 0, there would be two roots at the same position.
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if(discriminant != 0)
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. += (-b - root) / bottom
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/proc/ToDegrees(radians)
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// 180 / Pi ~ 57.2957795
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return radians * 57.2957795
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/proc/ToRadians(degrees)
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// Pi / 180 ~ 0.0174532925
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return degrees * 0.0174532925
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// Vector algebra.
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/proc/squaredNorm(x, y)
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return x*x + y*y
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/proc/norm(x, y)
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return sqrt(squaredNorm(x, y))
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/proc/IsPowerOfTwo(var/val)
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return (val & (val-1)) == 0
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/proc/RoundUpToPowerOfTwo(var/val)
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return 2 ** -round(-log(2,val))
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