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CORDIC\ Approximation of Elementary Functions {#cordic-approximation-of-elementary-functions align=”center”} =====================================

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CORDIC is a C++ library which uses the CORDIC algorithm to evaluate certain functions, in particular the sine and cosine.

Licensing: {#licensing align=”center”}

The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

Languages: {#languages align=”center”}

CORDIC is available in a C version and a C++ version and a FORTRAN77 version and a FORTRAN90 version and a MATLAB version.

Related Data and Programs: {#related-data-and-programs align=”center”}

FN, a C++ library which contains routines by Wayne Fullerton for evaluating elementary and special functions.

POLPAK, a C++ library which evaluates recursively defined polynomials and other special functions.

SPECFUN, a FORTRAN90 library which evaluates certain special functions using fitted data.

TEST_VALUES, a C++ library which returns some tabulated values of various functions.

Reference: {#reference align=”center”}

1. Pitts Jarvis,\ Implementing CORDIC Algorithms,\ Dr. Dobb’s Journal,\ October 1990.
2. Jean-Michel Muller,\ Elementary Functions: Algorithms and Implementation,\ Second Edition,\ Birkhaeuser, 2006,\ ISBN13: 978-0-8176-4372-0,\ LC: QA331.M866.
3. Allan Sultan,\ CORDIC: How Hand Calculators Calculate,\ The College Mathematics Journal,\ Volume 40, Number 2, March 2009, pages 87-92.
4. Jack Volder,\ The CORDIC Computing Technique,\ IRE Transactions on Electronic Computers,\ Volume 8, Number 3, pages 330-334, 1959.
5. Jack Volder,\ The Birth of CORDIC,\ Journal of VLSI Signal Processing Systems,\ Volume 25, Number 2, pages 101-105, June 2000.
6. Anthony Williams,\ Optimizing Math-Intensive Applications with Fixed-Point Arithmetic,\ Dr Dobb’s Journal,\ Volume 33, Number 4, April 2008, pages 38-43.

Source Code: {#source-code align=”center”}

• cordic.cpp, the source code;
• cordic.hpp, the include file;

Examples and Tests: {#examples-and-tests align=”center”}

• cordic_prb.cpp, the calling program;
• cordic_prb_output.txt, the sample output.

List of Routines: {#list-of-routines align=”center”}

• ANGLE_SHIFT shifts angle ALPHA to lie between BETA and BETA+2PI.
• ARCCOS_CORDIC returns the arccosine of an angle using the CORDIC method.
• ARCCOS_VALUES returns some values of the arc cosine function.
• ARCSIN_CORDIC returns the arcsine of an angle using the CORDIC method.
• ARCSIN_VALUES returns some values of the arc sine function.
• ARCTAN_CORDIC returns the arctangent of an angle using the CORDIC method.
• ARCTAN_VALUES returns some values of the arc tangent function.
• CBRT_CORDIC returns the cube root of a value using the CORDIC method.
• CBRT_VALUES returns some values of the cube root function.
• COS_VALUES returns some values of the cosine function.
• COSSIN_CORDIC returns the sine and cosine of an angle by the CORDIC method.
• EXP_CORDIC evaluates the exponential function using the CORDIC method.
• EXP_VALUES returns some values of the exponential function.
• I4_HUGE returns a “huge” I4.
• I4_MIN returns the minimum of two I4’s.
• LN_CORDIC evaluates the natural logarithm using the CORDIC method.
• LN_VALUES returns some values of the natural logarithm function.
• R8_UNIFORM_01 returns a unit pseudorandom R8.
• SIN_VALUES returns some values of the sine function.
• SQRT_CORDIC returns the square root of a value using the CORDIC method.
• SQRT_VALUES returns some values of the square root function.
• TAN_CORDIC returns the tangent of an angle using the CORDIC method.
• TAN_VALUES returns some values of the tangent function.
• TIMESTAMP prints the current YMDHMS date as a time stamp.

You can go up one level to the C++ source codes.

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Last modified on 23 June 2007.