C4LIB\
A Single Precision Complex Arithmetic Utility Library {#c4lib-a-single-precision-complex-arithmetic-utility-library align=”center”}
=====================================================
C4LIB is a C++ library which defines some elementary operations for
“C4” or “single precision complex” arithmetic.
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”}
C4LIB is available in a C version
and a C++ version and a FORTRAN77
version and a FORTRAN90
version and a MATLAB
version and a Python
version.
C4_COMPLEX_LIB, a
C++ library which defines a class called c4_complex for complex numbers
with single precision components.
C8LIB, a C++ library which implements
certain elementary functions for “C8” or double precision complex
variables;
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: {#source-code align=”center”}
Examples and Tests: {#examples-and-tests align=”center”}
List of Routines: {#list-of-routines align=”center”}
- C4_ABS returns the absolute value of a C4.
- C4_ACOS evaluates the inverse cosine of a C4.
- C4_ACOSH evaluates the inverse hyperbolic cosine of a C4.
- C4_ADD adds two C4’s.
- C4_ARG returns the argument of a C4.
- C4_ASIN evaluates the inverse sine of a C4.
- C4_ASINH evaluates the inverse hyperbolic sine of a C4.
- C4_ATAN evaluates the inverse tangent of a C4.
- C4_ATANH evaluates the inverse hyperbolic tangent of a C4.
- C4_CONJ conjugates a C4.
- C4_COPY copies a C4.
- C4_COS evaluates the cosine of a C4.
- C4_COSH evaluates the hyperbolic cosine of a C4.
- C4_CUBE_ROOT returns the principal cube root of a C4.
- C4_DIV divides two C4’s.
- C4_DIV_R4 divides a C4 by an R4.
- C4_EXP exponentiates a C4.
- C4_I returns the value of the imaginary unit, i as a C4.
- C4_IMAG returns the imaginary part of a C4.
- C4_INV inverts a C4.
- C4_LE_L1 := X <= Y for C4 values, and the L1 norm.
- C4_LE_L2 := X <= Y for C4 values, and the L2 norm.
- C4_LE_LI := X <= Y for C4 values, and the L-oo norm.
- C4_LOG evaluates the logarithm of a C4.
- C4_MAG returns the magnitude of a C4.
- C4_MUL multiplies two C4’s.
- C4_NEG negates a C4.
- C4_NINT returns the nearest complex integer of a C4.
- C4_NORM_L1 evaluates the L1 norm of a C4.
- C4_NORM_L2 evaluates the L2 norm of a C4.
- C4_NORM_LI evaluates the L-oo norm of a C4.
- C4_NORMAL_01 returns a unit pseudonormal C4.
- C4_ONE returns the value of complex 1.
- C4_PRINT prints a C4.
- C4_REAL returns the real part of a C4.
- C4_SIN evaluates the sine of a C4.
- C4_SINH evaluates the hyperbolic sine of a C4.
- C4_SQRT returns the principal square root of a C4.
- C4_SUB subtracts two C4’s.
- C4_SWAP swaps two C4’s.
- C4_TAN evaluates the tangent of a C4.
- C4_TANH evaluates the hyperbolic tangent of a C4.
- C4_TO_CARTESIAN converts a C4 to Cartesian form.
- C4_TO_POLAR converts a C4 to polar form.
- C4_UNIFORM_01 returns a unit pseudorandom C4.
- C4_ZERO returns the value of 0 as a C4.
- C4MAT_ADD combines two C4MAT’s using complex scalar factors.
- C4MAT_ADD_R4 combines two C4MAT’s using real scalar factors.
- C4MAT_COPY copies one C4MAT to another.
- C4MAT_COPY_NEW copies one C4MAT to a “new” C4MAT.
- C4MAT_FSS factors and solves a system with multiple right hand
sides.
- C4MAT_FSS_NEW factors and solves a system with multiple right
hand sides.
- C4MAT_IDENTITY_NEW sets a C4MAT to the identity.
- C4MAT_INDICATOR_NEW returns the C4MAT indicator matrix.
- C4MAT_MINVM returns inverse(A) * B for C4MAT’s.
- C4MAT_MINVM_NEW returns inverse(A) * B for C4MAT’s.
- C4MAT_MM multiplies two matrices.
- C4MAT_MM_NEW multiplies two matrices.
- C4MAT_NINT rounds the entries of a C4MAT.
- C4MAT_NORM_FRO returns the Frobenius norm of a C4MAT.
- C4MAT_NORM_L1 returns the matrix L1 norm of a C4MAT.
- C4MAT_NORM_LI returns the matrix L-oo norm of a C4MAT.
- C4MAT_PRINT prints a C4MAT.
- C4MAT_PRINT_SOME prints some of a C4MAT.
- C4MAT_SCALE scales a C4MAT by a complex scalar factor.
- C4MAT_SCALE_R4 scales a C4MAT by a real scalar factor.
- C4MAT_UNIFORM_01 returns a unit pseudorandom C4MAT.
- C4MAT_UNIFORM_01_NEW returns a new unit pseudorandom C4MAT.
- C4MAT_ZERO_NEW returns a new zeroed C4MAT.
- C4VEC_COPY copies a C4VEC.
- C4VEC_COPY_NEW copies a C4VEC to a “new” C4VEC.
- C4VEC_INDICATOR_NEW sets a C4VEC to the indicator vector.
- C4VEC_NINT rounds the entries of a C4VEC.
- C4VEC_NORM_L2 returns the L2 norm of a C4VEC.
- C4VEC_PRINT prints a C4VEC.
- C4VEC_PRINT_PART prints “part” of a C4VEC.
- C4VEC_PRINT_SOME prints some of a C4VEC.
- C4VEC_SORT_A_L2 ascending sorts a C4VEC by L2 norm.
- C4VEC_SPIRAL returns N points on a spiral between C1 and C2.
- C4VEC_UNIFORM_01 returns a unit pseudorandom C4VEC.
- C4VEC_UNIFORM_01_NEW returns a unit pseudorandom C4VEC.
- C4VEC_UNITY returns the N roots of unity in a C4VEC.
- CARTESIAN_TO_C4 converts a Cartesian form to a C4.
- I4_MAX returns the maximum of two I4’s.
- I4_MIN returns the minimum of two I4’s.
- POLAR_TO_C4 converts a polar form to a C4.
- R4_ABS returns the absolute value of an R4.
- R4_CSQRT returns the complex square root of an R4.
- R4_FLOOR rounds an R4 “down” (towards -oo) to the next integer.
- R4_MAX returns the maximum of two R4’s.
- R4_NINT returns the nearest integer to an R4.
- R4_SIGN returns the sign of an R4.
- R4_UNIFORM_01 returns a unit pseudorandom R4.
- R4POLY2_ROOT returns the two roots of a quadratic polynomial.
- R4POLY3_ROOT returns the three roots of a cubic polynomial.
- R4POLY4_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.
You can go up one level to the C++ source codes.
Last revised on 10 March 2014.