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fixed.cordicDivide

CORDIC-based fixed-point divide

Since R2020b

Description

y = fixed.cordicDivide(num,den,OutputType) divides num by den using the output data type specified by OutputType.

example

Examples

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num = fi(1);
den = fi(10);
OutputType = fi([],1,16,15);
y = fixed.cordicDivide(num,den,OutputType)
y = 
    0.1000

          DataTypeMode: Fixed-point: binary point scaling
            Signedness: Signed
            WordLength: 16
        FractionLength: 15

Input Arguments

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Numerator, specified as a real-valued scalar, vector, matrix, or multidimensional array.

  • If num is a floating-point type, den must also be a floating-point type and OutputType must specify a floating-point data type.

  • If num is a built-in integer type, den must also be a built-in integer type and OutputType must specify a built-in integer data type.

  • If num is a fixed-point type, den must also be a fixed-point type and OutputType must specify a fixed-point data type.

Data Types: single | double | int8 | int16 | int32 | int64 | uint8 | uint16 | uint32 | uint64 | fi
Complex Number Support: Yes

Numerator, specified as a real-valued scalar, vector, matrix, or multidimensional array.

  • If num is a floating-point type, den must also be a floating-point type and OutputType must specify a floating-point data type.

  • If num is a built-in integer type, den must also be a built-in integer type and OutputType must specify a built-in integer data type.

  • If num is a fixed-point type, den must also be a fixed-point type and OutputType must specify a fixed-point data type.

Data Types: single | double | int8 | int16 | int32 | int64 | uint8 | uint16 | uint32 | uint64 | fi
Complex Number Support: Yes

Data type of the output, specified as a fi object, numerictype, or Simulink.NumericType object.

  • If num is a floating-point type, den must also be a floating-point type and OutputType must specify a floating-point data type.

  • If num is a built-in integer type, den must also be a built-in integer type and OutputType must specify a built-in integer data type.

  • If num is a fixed-point type, den must also be a fixed-point type and OutputType must specify a fixed-point data type.

Example: fi([],1,16,15)

Example: numerictype(1,16,15)

Example: fixdt(1,16,15)

Algorithms

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References

[1] Volder, Jack E. “The CORDIC Trigonometric Computing Technique.” IRE Transactions on Electronic Computers. EC-8, no. 3 (Sept. 1959): 330–334.

[2] Andraka, Ray. “A Survey of CORDIC Algorithm for FPGA Based Computers.” In Proceedings of the 1998 ACM/SIGDA Sixth International Symposium on Field Programmable Gate Arrays, 191–200. https://dl.acm.org/doi/10.1145/275107.275139.

[3] Walther, J.S. “A Unified Algorithm for Elementary Functions.” In Proceedings of the May 18-20, 1971 Spring Joint Computer Conference, 379–386. https://dl.acm.org/doi/10.1145/1478786.1478840.

[4] Schelin, Charles W. “Calculator Function Approximation.” The American Mathematical Monthly, no. 5 (May 1983): 317–325. https://doi.org/10.2307/2975781.

Extended Capabilities

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Version History

Introduced in R2020b