C8LIB
A Double Precision Complex Arithmetic Utility Library

C8LIB is a C++ library which is a utility library for "C8" or "double precision complex" arithmetic.

Licensing:

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

Languages:

C8LIB is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version and a Python version..

Related Programs:

C4LIB, a C++ library which implements certain elementary functions for "C4" or single precision complex variables;

C8_COMPLEX_LIB, a C++ library which defines a class called "c8_complex" for complex numbers with double precision components.

COMPLEX_NUMBERS, a C++ program which demonstrates some simple features involved in the use of complex numbers in C programming.

I4LIB, a C++ library which contains many utility routines, using "I4" or "single precision integer" arithmetic.

I8LIB, a C++ library which contains many utility routines, using "I8" or "double precision integer" arithmetic.

L4LIB, a C++ library which contains many utility routines, using one byte logical (L4) variables.

R4LIB, a C++ library which contains many utility routines, using "R4" or "single precision real" arithmetic.

R8LIB, a C++ library which contains many utility routines, using "R8" or "double precision real" arithmetic.

Source Code:

• c8lib.cpp, the source code;
• c8lib.hpp, the include file.

Examples and Tests:

• c8lib_test.cpp, the calling program;
• c8lib_test.txt, the output file.

List of Routines:

• C8_ABS returns the absolute value of a C8.
• C8_ACOS evaluates the inverse cosine of a C8.
• C8_ACOSH evaluates the inverse hyperbolic cosine of a C8.
• C8_ADD adds two C8's.
• C8_ARG returns the argument of a C8.
• C8_ASIN evaluates the inverse sine of a C8.
• C8_ASINH evaluates the inverse hyperbolic sine of a C8.
• C8_ATAN evaluates the inverse tangent of a C8.
• C8_ATANH evaluates the inverse hyperbolic tangent of a C8.
• C8_CONJ conjugates a C8.
• C8_COPY copies a C8.
• C8_COS evaluates the cosine of a C8.
• C8_COSH evaluates the hyperbolic cosine of a C8.
• C8_CUBE_ROOT returns the principal cube root of a C8.
• C8_DIV divides two C8's.
• C8_DIV_R8 divides a C8 by an R8.
• C8_EXP exponentiates a C8.
• C8_I returns the value of the imaginary unit, i as a C8.
• C8_IMAG returns the imaginary part of a C8.
• C8_INV inverts a C8.
• C8_LE_L1 := X <= Y for C8 values, and the L1 norm.
• C8_LE_L2 := X <= Y for C8 values, and the L2 norm.
• C8_LE_LI := X <= Y for C8 values, and the L-oo norm.
• C8_LOG evaluates the logarithm of a C8.
• C8_MAG returns the magnitude of a C8.
• C8_MUL multiplies two C8's.
• C8_NEG negates a C8.
• C8_NINT returns the nearest complex integer of a C8.
• C8_NORM_L1 evaluates the L1 norm of a C8.
• C8_NORM_L2 evaluates the L2 norm of a C8.
• C8_NORM_LI evaluates the L-oo norm of a C8.
• C8_NORMAL_01 returns a unit pseudonormal C8.
• C8_ONE returns the value of complex 1.
• C8_PRINT prints a C8.
• C8_REAL returns the real part of a C8.
• C8_SIN evaluates the sine of a C8.
• C8_SINH evaluates the hyperbolic sine of a C8.
• C8_SQRT returns the principal square root of a C8.
• C8_SUB subtracts two C8's.
• C8_SWAP swaps two C8's.
• C8_TAN evaluates the tangent of a C8.
• C8_TANH evaluates the hyperbolic tangent of a C8.
• C8_TO_CARTESIAN converts a C8 to Cartesian form.
• C8_TO_POLAR converts a C8 to polar form.
• C8_UNIFORM_01 returns a unit pseudorandom C8.
• C8_ZERO returns the value of 0 as a C8.
• C8MAT_ADD combines two C8MAT's using complex scalar factors.
• C8MAT_ADD_R8 combines two C8MAT's using real scalar factors.
• C8MAT_COPY copies one C8MAT to another.
• C8MAT_COPY_NEW copies one C8MAT to a "new" C8MAT.
• C8MAT_FSS factors and solves a system with multiple right hand sides.
• C8MAT_FSS_NEW factors and solves a system with multiple right hand sides.
• C8MAT_IDENTITY_NEW sets a C8MAT to the identity.
• C8MAT_INDICATOR_NEW returns the C8MAT indicator matrix.
• C8MAT_MINVM returns inverse(A) * B for C8MAT's.
• C8MAT_MINVM_NEW returns inverse(A) * B for C8MAT's.
• C8MAT_MM multiplies two matrices.
• C8MAT_MM_NEW multiplies two matrices.
• C8MAT_NINT rounds the entries of a C8MAT.
• C8MAT_NORM_FRO returns the Frobenius norm of a C8MAT.
• C8MAT_NORM_L1 returns the matrix L1 norm of a C8MAT.
• C8MAT_NORM_LI returns the matrix L-oo norm of a C8MAT.
• C8MAT_PRINT prints a C8MAT.
• C8MAT_PRINT_SOME prints some of a C8MAT.
• C8MAT_SCALE scales a C8MAT by a complex scalar factor.
• C8MAT_SCALE_R8 scales a C8MAT by a real scalar factor.
• C8MAT_UNIFORM_01 returns a unit pseudorandom C8MAT.
• C8MAT_UNIFORM_01_NEW returns a unit pseudorandom C8MAT.
• C8MAT_ZERO_NEW returns a new zeroed C8MAT.
• C8VEC_COPY copies a C8VEC.
• C8VEC_COPY_NEW copies a C8VEC to a "new" C8VEC.
• C8VEC_INDICATOR_NEW sets a C8VEC to the indicator vector.
• C8VEC_NINT rounds the entries of a C8VEC.
• C8VEC_NORM_L1 returns the L1 norm of a C8VEC.
• C8VEC_NORM_L2 returns the L2 norm of a C8VEC.
• C8VEC_NORM_LI returns the Loo norm of a C8VEC.
• C8VEC_PRINT prints a C8VEC.
• C8VEC_PRINT_PART prints "part" of a C8VEC.
• C8VEC_PRINT_SOME prints some of a C8VEC.
• C8VEC_SORT_A_L1 ascending sorts a C8VEC by L1 norm.
• C8VEC_SORT_A_L2 ascending sorts a C8VEC by L2 norm.
• C8VEC_SORT_A_LI ascending sorts a C8VEC by Loo norm.
• C8VEC_SPIRAL_NEW returns N points on a spiral between C1 and C2.
• C8VEC_UNIFORM_01_NEW returns a unit pseudorandom C8VEC.
• C8VEC_UNITY returns the N roots of unity in a C8VEC.
• CARTESIAN_TO_C8 converts a Cartesian form to a C8.
• POLAR_TO_C8 converts a polar form to a C8.
• R8_ABS returns the absolute value of an R8.
• R8_ATAN computes the inverse tangent of the ratio Y / X.
• R8_CSQRT returns the complex square root of an R8.
• R8_FLOOR rounds an R8 down to the nearest integral R8.
• R8_MAX returns the maximum of two R8's.
• R8_SIGN returns the sign of an R8.
• R8_UNIFORM_01 returns a unit pseudorandom R8.
• R8POLY2_ROOT returns the two roots of a quadratic polynomial.
• R8POLY3_ROOT returns the three roots of a cubic polynomial.
• R8POLY4_ROOT returns the four roots of a quartic polynomial.
• SORT_HEAP_EXTERNAL externally sorts a list of items into ascending order.
• TIMESTAMP prints the current YMDHMS date as a time stamp.

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