Mathematical Functions in VEX
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These are some curves produced by basic parent functions.
Each formula and it's characteristics are listed below.
y = 0; // Constant (value remains the same at all points in time)
y = x; // Linear (value changes at a constant rate over time)
y = pow(2,x); // Exponential, these functions grow very rapidly. y = pow(M_E, x); y = exp(x);
y = pow(x,2); // Quadratic, same as: y = x*x;
y = pow(x,3); // Cubic, same as: y = x*x*x;
y = 1.0/x; // Reciprocal, with x in the denominator this will produce asymptotes at the axis
y = log(x); // Logarithmic, rate of growth diminishes over time
y = sqrt(x); // Square Root, same as: y = pow(x,0.5);
Mathematical Constants
The following constants are defined in $HFS/houdini/vex/include/math.h and automatically included in all VEX wrangle snippets.
M_E 2.7182818 // sometimes called the natural number, or Euler's number
LN10 2.3025850 // natural logarithm of 10
LN2 0.6931471 // natural logarithm of 2
LOG10E 0.4342944
LOG2E 1.4426950
PI 3.1415926 // 180° in radians, the ratio of the circumference to diameter of a circle
M_TWO_PI 6.2831852 // 360° in radians, the circumference of a unit circle, 2 * PI
PI_2 1.5707963 // 90° in radians, 1/4th of the circumference of a unit circle, PI / 2
PI_4 0.7853981 // 45° in radians, 1/8th of the circumference of a unit circle, PI / 4
SQRT1_2 0.7071067
SQRT2 1.4142135
TOLERANCE 0.0001
- math #vex