2.7.9.3 Vector Analysis
SetGradientAccuracy(Value) : all below macros make use of a constant named '__Gradient_Fn_Accuracy_'
for numerical approximation of the derivatives. This constant can be changed with the macro, the default value is
0.001.
fn_Gradient(Fn) : macro calculating the gradient of a function as a function. Parameters:

Fn = function to calculate the gradient from.
Output: the length of the gradient as a function.
fn_Gradient_Directional(Fn, Dir) : macro calculating the gradient of a function in one direction as a
function. Parameters:

Fn = function to calculate the gradient from.

Dir = direction to calculate the gradient.
Output: the gradient in that direction as a function.
fn_Divergence(Fnx, Fny, Fnz) : macro calculating the divergence of a (vector) function as a function. Parameters:

Fnx, Fny, Fnz = x, y and z components of a vector function.
Output: the divergence as a function.
vGradient(Fn, p0) : macro calculating the gradient of a function as a vector expression. Parameters:

Fn = function to calculate the gradient from.

p0 = point where to calculate the gradient.
Output: the gradient as a vector expression.
vCurl(Fnx, Fny, Fnz, p0) : macro calculating the curl of a (vector) function as a vector expression Parameters:

Fnx, Fny, Fnz = x, y and z components of a vector function.

p0 = point where to calculate the gradient.
Output: the curl as a vector expression
Divergence(Fnx, Fny, Fnz, p0) : macro calculating the divergence of a (vector) function as a float
expression Parameters:

Fnx, Fny, Fnz = x, y and z components of a vector function.

p0 = point where to calculate the gradient.
Output: the divergence as a float expression.
Gradient_Length(Fn, p0) : macro calculating the length of the gradient of a function as a float
expression. Parameters:

Fn = function to calculate the gradient from.

p0 = point where to calculate the gradient.
Output: the length of the gradient as a float expression.
Gradient_Directional(Fn, p0, Dir) : macro calculating the gradient of a function in one direction as a
float expression. Parameters:

Fn = function to calculate the gradient from.

p0 = point where to calculate the gradient.

Dir = direction to calculate the gradient.
Output: the gradient in that direction as a float expression
