Mathematical constants and functions

Constants

In Sidefx houdini we have some predefined math constants that can be used in VEX code. Here is a list of some of the most common ones:

M_E         2.7182818  // Euler's number (approximately 2.7182818)
LN10        2.3025850  // Natural logarithm of 10 (approximately 2.3025850)
LN2         0.6931471  // Natural logarithm of 2 (approximately 0.6931471)
LOG10E      0.4342944  // Base 10 logarithm of Euler's number (approximately 0.4342944)
LOG2E       1.4426950  // Base 2 logarithm of Euler's number (approximately 1.4426950)
PI          3.1415926  // The mathematical constant pi (approximately 3.1415926)
M_TWO_PI    6.2831852  // Twice the value of pi (approximately 6.2831852)
PI_2         1.5707963  // Half the value of pi (approximately 1.5707963)
PI_4      0.7853981  // Quarter of the value of pi (approximately 0.7853981)
SQRT1_2      0.7071067  // Square root of 1/2 (approximately 0.7071067)
SQRT2      1.4142135  // Square root of 2 (approximately 1.4142135)
TOLERANCE   0.0001     // A small tolerance value (approximately 0.0001)

Functions

Additionally to constants VEX has a number of built-in functions that can be used to perform common mathematical operations. Here is a list of some of the most common ones:

abs()       // Absolute value (magnitude)
acos()      // Arc cosine (inverse cosine)
asin()      // Arc sine (inverse sine)
atan()      // Arc tangent (inverse tangent)
atan2()     // Arc tangent of two variables (y, x)
tan()       // Tangent (opposite/adjacent)
ceil()      // Smallest integer value not less than the argument (rounds up)
clamp()     // Clamps a value to a specified range (min, max)
cos()       // Cosine (adjacent/hypotenuse)
cosh()      // Hyperbolic cosine (e^x + e^-x)/2
cross()     // Cross product (vector product)
sin()       // Sine (opposite/hypotenuse)
degrees()   // Converts radians to degrees (x * 180/pi)
distance()  // Distance between two points (magnitude of the difference)
dot()       // Dot product (scalar product)
exp()       // Exponential (base e)
exp2()      // Base 2 exponential (2^x)
fit()       // Fits a value from one range to another (linear interpolation)
floor()     // Largest integer value not greater than the argument (rounds down)
length()    // Length of a vector (magnitude)
log()       // Natural logarithm (base e)
max()       // Maximum value (x, y)
min()       // Minimum value (x, y)
normalize() // Normalizes a vector (length = 1)
pow()       // Power (x^y)
radians()   // Converts degrees to radians (x * pi/180)
round()     // Rounds to the nearest integer (0.5 rounds up)
sign()      // Sign of a number (-1, 0, 1)
sinh()      // Hyperbolic sine (e^x - e^-x)/2
sqrt()      // Square root   (x^0.5)
step()      // Step function (returns 0 if x < edge, 1 if x >= edge)