max.md

max - returns the maximum of two scalars or each respective component of two vectors.

Code usage:

DMath.max(a,b);

Math formula:

$$with Scalars:$$

$$x = \begin{cases} a & \text{if } a > b \ b & \text{otherwise} \end{cases}$$

$$with Vectors:$$

$$x_x = \begin{cases} a_x & \text{if } a_x > b_x \ b_x & \text{otherwise} \end{cases}$$

$$x_y = \begin{cases} a_y & \text{if } a_y > b_y \ b_y & \text{otherwise} \end{cases}$$

$$x_z = \begin{cases} a_z & \text{if } a_z > b_z \ b_z & \text{otherwise} \end{cases}$$

$$x=(x_x,x_y,x_z)$$

parameters:

a - { Scalar or vector } b - { Scalar or vector}

Description

Returns the maximum of two same-typed scalars a and b or the respective components of two same-typed vectors a and b. The result is a three-component vector.

Code Implementation

max implementation for a float3 vector.

float3 max(float3 a, float3 b)
{
  return float3(a.x > b.x ? a.x : b.x,
                a.y > b.y ? a.y : b.y,
                a.z > b.z ? a.z : b.z);
}

Performance Info

max is sometimes recognized as a compiler built-in code in certain graphic compilers.

 When the compiler encounters a call to a built-in function, it can choose to generate inline code to perform the operation instead of a function call, which can lead to more efficient code.