# MATH

 ADD Click box to see full description ```This is the addition function. The result is A + B + .... A and B may be scalar, vectors, or colors. The result will be a scalar if both A and B are scalars. The result will be a vector if either A or B is a vector. The result will be a color if either A or B is a color. A type mis-match will result from the addition of vectors and colors. ```
 SUBTRACT Click box to see full description ```This is the subtraction function. The result is A - B. A and B can be scalars, vectors, or colors. The result will be a scalar if both A and B are scalars. The result will be a vector if either A and B are vectors. The result will be a color if either A and B are colors. A type mis-match will result from the subtraction of vectors and colors. ```
 MULTIPLY Click box to see full description ```This is the multiplication function. The result is A * B. A and B can be scalars, vectors, or colors. The result will be a scalar if both A and B are scalars. The result will be a vector if either A or B is a vector. The result will be a color if either A or B is a color. A type mis-match will result from the multiplication of points and colors. ```
 DIVIDE Click box to see full description ```This is the division function. The result is the quotient of A / B. A and B may be scalar, vector, or colors. The result will be a scalar if both A and B are scalars. The result will be a vector if either A and B are vectors. The result will be a color if either A and B are colors. A type mis-match will result from the division of colors and vectors. ```
 ABS Click box to see full description ```This function returns the absolute value of A: |A| ```
 SIGN Click box to see full description ```This function returns either +1 or -1 based on the sign of the input. ```
 NEGATE Click box to see full description ```This function returns -A, the negative of input A. ```
 MODULUS Click box to see full description ```This function returns the remainder of A divided by B. ```
 REPEAT Click box to see full description ```This is function returns mod(A*FQ, 1). This is the percentage of 1, which that frequency of A represents. ```
 SHIFT Click box to see full description ```The result is (A+1)/2. This shifts the range of A from [-1,1] to [0,1]. Inputs should lie in the range [-1,1]. ```
 CONTRAST Click box to see full description ```This function can increase or decrease the contrast of A. If SHF is negative and GAIN is > 1 this will increase the contrast. If SHF is positive and GAIN is < 1 the contrast will be decreased. The result will be the same data type as A. ```
 INVERSE Click box to see full description ```This function returns the inverse of A: 1/A. ```
 REVERSE Click box to see full description ```Result is 1-A. This reverses the direction of A. Inputs should lie in the range [0,1]. Vectors should be normalized. ```
 AVERAGE Click box to see full description ```This is the average function. The result is the average value of all the inputs. The inputs may be scalars, vectors, or colors, but all inputs must be of the same type. ```
 FACTORIAL Click box to see full description ```Returns the factorial of A. OUT = 1 * 2 * 3 .. A ```
 RANDOM Click box to see full description ```The result is a random scalar in the range [0,1]. ```
 COMPLEMENT Click box to see full description ```Result is 1-A. This is the complement of A. A may be a float, point or color. The result will be the same data type. A should lie in the range [0,1]. Vectors should be normalized. ```
 DIFFERENCE Click box to see full description ```This returns the difference of A and B. The result is A - AB. A and B may be floats, colors or points, but they must be the same type. ```
 INTERSECTION Click box to see full description ```The result is A * B. This is the intersection of A and B. A and B can be floats, points or colors, but they must be the same data type. Output will be the same data type. ```
 UNION Click box to see full description ```The result is A + B - (A * B). This is the union of A and B. A and B may be floats, points or colors, but they must be the same data type. Output will be the same data type. ```
 CUBE Click box to see full description ```This function returns A cubed. ```
 POWER Click box to see full description ```Result of this function is A raised to the power of B; Example: pow(2,3.0) = 2*2*2 = 8; Example: pow(4,0.5) = sqrt(4) = 2; ```
 SQRT Click box to see full description ```This function returns the square root of A. ```
 SQUARE Click box to see full description ```This function returns A squared. ```
 INVERSESQRT Click box to see full description ```This function returns the inverse of the square root of A. ```
 E Click box to see full description ```This is the constant e ~ 2.718281828459 e denotes the unquie positive real number such that log(e) = 1. ```
 EXP Click box to see full description ```The result is e raised to the power of A. ```
 EXPM1 Click box to see full description ```The result is e raised to the power of A minus 1.0. ```
 GAMMA Click box to see full description ```This function returns X raised to 1/G. ```
 LOG Click box to see full description ```The result is the natural logarithm of A; ```
 LOG10 Click box to see full description ```The result is the natural logarithm to base 10 of A; ```
 LOG1P Click box to see full description ```The result is the natural logarithm of (1+A); ```
 PI Click box to see full description ```This is the constant PI ~ 3.1415927 ```
 PI2 Click box to see full description ```This is the constant 2*PI ~ 6.2831853 ```
 HALFPI Click box to see full description ```This is the constant PI/2 ~ 1.5707963 ```
 SINE Click box to see full description ```This function returns a float between [-1,1], the sine of angle A. ```
 ARCSINE Click box to see full description ```This function returns a scalar between [-PI/2,PI/2], the arcsine of A. Arcsine is the inverse of the sine function where the asin(x) = y if and only if sin(y) = x. ```
 COSINE Click box to see full description ```This function returns a scalar between [-1,1], the cosine of angle A. ```
 ARCCOSINE Click box to see full description ```This function returns a scalar between [0,PI], the arccosine of A. Arccosine is the inverse of the cosine function where the acos(x) = y if and only if cos(y) = x. ```
 TANGENT Click box to see full description ```This function returns a scalar which runs to infinity as the angle A approachs PI/2, the tangent of angle A. ```
 ARCTANGENT Click box to see full description ```This fucntion returns a scalar between [-PI/2,PI/2], the arctangent of A. Arctangent is the inverse of the tangent function where the atan(x) = y if and only if tan(y) = x. ```
 ARCTANGENT2 Click box to see full description ```This function returns a scalar between [-PI,PI]. The sign of the inputs determines which quadrant the result will be. Arctangent is the inverse of the tangent function. atan2(b,a) = y/x if and only if tan(y/x) = b/a. ```
 RADIUS Click box to see full description ```This function returns the radius of a circle inscribed in the square defined by A and B. For best results A and B should be perpendicular. Such as u and v or the lengths of two perpendicular vectors. ```
 DEG2RAD Click box to see full description ```This function converts degrees to radians. It returns the input scalar, A in radians. ```
 RAD2DEG Click box to see full description ```This function converts radians to degrees. It returns the input scalar, A in degrees. ```
 MIN Click box to see full description ```This function returns the minimum of the input values. The value returned will be of the same data type as the inputs. ```
 MAX Click box to see full description ```This function returns the maximum of the input values. The value returned will be of the same data type as the inputs. ```
 CEIL Click box to see full description ```This function returns the smallest integer greater than or equal to A. ```
 FLOOR Click box to see full description ```This function returns the largest integer less than or equal to A. ```
 ROUND Click box to see full description ```This function returns the closest integer A. ```
 CLAMP Click box to see full description ```This function clamps A to the range [MIN, MAX]. Returns MIN if A < MIN or MAX if A > MAX otherwise it returns A. The data type returned will be the same type as the inputs. All inputs must be of the same type. ```
 MOTIONDIR Click box to see full description ```This returns the vector describing the direction of the motion. It is used in calculating motion blur. If there is no motion a null vector is returned. ```
 DUDV Click box to see full description ```This vector represents the rate of change in the surface with respect to u and v. A vector is returned only for free-form surface objects, for polygonal objects the vector is null. ```