Perform mathematical function
Simulink / Math Operations
HDL Coder / Math Operations
The Math Function block performs numerous common mathematical functions.
Tip
To perform square root calculations, use the Sqrt block.
You can select one of these functions from the Function parameter list.
Function | Description | Mathematical Expression | MATLAB® Equivalent |
---|---|---|---|
exp
|
Exponential |
|
exp
|
log
|
Natural logarithm |
|
log
|
10^u
|
Power of base 10 |
|
|
log10
|
Common (base 10) logarithm |
|
log10
|
magnitude^2
|
Complex modulus |
| |
square
|
Power 2 |
|
|
pow
| Power |
|
power
|
conj
|
Complex conjugate |
|
conj
|
reciprocal with Exact method |
Reciprocal |
|
|
reciprocal with Newton-Raphson method | Reciprocal | See Newton-Raphson Reciprocal Algorithm Method | None |
hypot
|
Square root of sum squares |
|
hypot
|
rem
|
Remainder after division |
— |
rem
|
mod
|
Modulus after division |
— |
mod
|
transpose
|
Transpose |
|
|
hermitian
|
Complex conjugate transpose |
|
|
The block output is the result of the operation of the function on the input or inputs. The functions support these types of operations.
Function | Scalar Operations | Element-Wise Vector and Matrix Operations | Vector and Matrix Operations |
---|---|---|---|
exp
|
Yes |
Yes |
— |
log
|
Yes |
Yes |
— |
10^u
|
Yes |
Yes |
— |
log10
|
Yes |
Yes |
— |
magnitude^2
|
Yes |
Yes |
— |
square
|
Yes |
Yes |
— |
pow
|
Yes |
Yes |
— |
conj
|
Yes |
Yes |
— |
reciprocal with Exact method |
Yes |
Yes |
— |
reciprocal with Newton-Raphson method | Yes | Yes | — |
hypot
|
Yes, on two inputs |
Yes, on two inputs (two vectors or two matrices of the same size, a scalar and a vector, or a scalar and a matrix) |
— |
rem
|
Yes, on two inputs |
Yes, on two inputs (two vectors or two matrices of the same size, a scalar and a vector, or a scalar and a matrix) |
— |
mod
|
Yes, on two inputs |
Yes, on two inputs (two vectors or two matrices of the same size, a scalar and a vector, or a scalar and a matrix) |
— |
transpose
|
Yes |
— |
Yes |
hermitian
|
Yes |
— |
Yes |
The name of the function appears on the block. The appropriate number of input ports appears automatically.
Tip
Use the Math Function block when you want vector or matrix output.
The reciprocal
function with the Newton-Raphson algorithm method
calculates the reciprocal with Newton-Raphson approximation method. The function
uses recursive approximation to find better approximations to the roots of a
real-valued function.
The reciprocal of a real number is defined as a zero of the function:
Simulink® chooses an initial estimate in the range , as this is the domain of convergence for the function.
To successively compute the roots of the function, specify the Number of iterations parameter. The process is repeated as follows:
is the derivative of the function .
This table shows the input data types that each function of the block can support.
Function | single | double | half* | boolean | built-in integer | fixed point |
---|---|---|---|---|---|---|
| Yes | Yes | Yes | — | — | — |
| Yes | Yes | Yes | — | — | — |
| Yes | Yes | Yes | — | — | — |
| Yes | Yes | Yes | — | — | — |
| Yes | Yes | Yes | — | Yes | Yes |
| Yes | Yes | Yes | — | Yes | Yes |
| Yes | Yes | Yes | — | — | — |
| Yes | Yes | Yes | — | Yes | Yes |
| Yes | Yes | Yes | — | Yes | Yes |
| See Output. | |||||
| Yes | Yes | Yes | — | — | — |
| Yes | Yes | Yes | — | Yes | — |
| Yes | Yes | Yes | — | Yes | — |
| Yes | Yes | Yes | Yes | Yes | Yes |
| Yes | Yes | Yes | — | Yes | Yes |
For more information on half-precision arithmetic operations, see The Half-Precision Data Type in Simulink (Fixed-Point Designer).
Data Types |
|
Direct Feedthrough |
|
Multidimensional Signals |
|
Variable-Size Signals |
|
Zero-Crossing Detection |
|