CORDIC
Approximation of Elementary Functions

CORDIC is a library of C++ routines, using double precision arithmetic, which uses the CORDIC algorithm to evaluate certain functions, in particular the sine and cosine.

Related Data and Programs:

CORDIC is also available in a FORTRAN90 version and a MATLAB version.

POLPAK is a C++ library of routines which evaluate recursively defined polynomials and other special functions.

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

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

Reference:

1. Jean-Michel Muller,
   Elementary Functions: Algorithms and Implementation,
   Second Edition,
   Birkhaeuser, 2006,
   ISBN13: 978-0-8176-4372-0,
   LC: QA331.M866.
2. Jack Volder,
   The CORDIC Computing Technique,
   IRE Transactions on Electronic Computers,
   Volume 8, Number 3, pages 330-334, 1959.
3. Jack Volder,
   The Birth of CORDIC,
   Journal of VLSI Signal Processing Systems,
   Volume 25, Number 2, pages 101-105, June 2000.

Source Code:

• cordic.C, the source code;
• cordic.H, the include file;
• cordic.csh, commands to compile the source code;

Examples and Tests:

• cordic_prb.C, the calling program;
• cordic_prb.csh, commands to compile, link and run the calling program;
• cordic_prb.out, the sample output.

List of Routines:

• 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.