Documentation |
Square root of fi object
c = sqrt(a)
c = sqrt(a,T)
c = sqrt(a,F)
c = sqrt(a,T,F)
This function computes the square root of a fi object using a bisection algorithm.
c = sqrt(a) returns the square root of fi object a. Intermediate quantities are calculated using the fimath associated with a. The numerictype object of c is determined automatically for you using an internal rule.
c = sqrt(a,T) returns the square root of fi object a with numerictype object T. Intermediate quantities are calculated using the fimath associated with a. See Data Type Propagation Rules.
c = sqrt(a,F) returns the square root of fi object a. Intermediate quantities are calculated using the fimath object F. The numerictype object of c is determined automatically for you using an internal rule. When a is a built-in double or single data type, this syntax is equivalent to c = sqrt(a) and the fimath object F is ignored.
c = sqrt(a,T,F) returns the square root fi object a with numerictype object T. Intermediate quantities are also calculated using the fimath object F. See Data Type Propagation Rules.
sqrt does not support complex, negative-valued, or [Slope Bias] inputs.
For syntaxes where the numerictype object of the output is not specified as an input to the sqrt function, it is automatically calculated according to the following internal rule:
$$sig{n}_{c}=sig{n}_{a}$$
$$W{L}_{c}=\mathrm{ceil}(\frac{W{L}_{a}}{2})$$
$$F{L}_{c}=W{L}_{c}-\mathrm{ceil}(\frac{W{L}_{a}-F{L}_{a}}{2})$$
For syntaxes for which you specify a numerictype object T, the sqrt function follows the data type propagation rules listed in the following table. In general, these rules can be summarized as "floating-point data types are propagated." This allows you to write code that can be used with both fixed-point and floating-point inputs.
Data Type of Input fi Object a | Data Type of numerictype object T | Data Type of Output c |
---|---|---|
Built-in double | Any | Built-in double |
Built-in single | Any | Built-in single |
fi Fixed | fi Fixed | Data type of numerictype object T |
fi ScaledDouble | fi Fixed | ScaledDouble with properties of numerictype object T |
fi double | fi Fixed | fi double |
fi single | fi Fixed | fi single |
Any fi data type | fi double | fi double |
Any fi data type | fi single | fi single |