Operator Library: Arithmetics
The operator calculates the arccot of the input.
The input range of arccot is [∞, ∞]. This operator includes a parameter Resolution to define the fixed point resolution bits of the input values. The input range is given by the number of input bits =
where
is the bit width at the input and R the resolution bits.
The argument x of the arccot function is determined by
The results of the arccot function are in the range ]0, π[. The output value range of the operator in VisualApplets is mapped to
where
is the bit width at the output link. Thus the output value is
The following image shows the plot of the arccot function.
In the next figure, the VisualApplets operator implementation is shown. Note the input and output bit widths.
Le't have a look at an input pixel value. For example -100. With the given resolution of four, the real value representation of the pixel value is -100/16. The arccot result of -100/16 is arccot(-100/16) = 2.98. In pixel value representation this result becomes 122 which is the same as shown in the plot.
Link Parameter | Input Link I | Output Link O |
---|---|---|
Bit Width | [8, 12] | [8,32] |
Arithmetic | signed | signed |
Parallelism | any | as I |
Kernel Columns | 1 | as I |
Kernel Rows | 1 | as I |
Img Protocol | {VALT_IMAGE2D, VALT_LINE1D, VALT_PIXEL0D} | as I |
Color Format | VAF_GRAY | as I |
Color Flavor | FL_NONE | as I |
Max. Img Width | any | as I |
Max. Img Height | any | as I |
ResolutionBits | |
---|---|
Type | static parameter |
Default | 8 |
Range | [0..OutputBitWidth] |
This parameter defines the accuracy of the input values as defined in the description above. |
The use of operator ARCCOT is shown in the following examples:
-
'Functional Example for Specific Operators of Library Arithmentics: Trigonometric Functions'
Examples - Demonstration of how to use the operator