|
Dynamic Complex Library 1.0.0
Reference-counted arbitrary precision complex number library (MIT OR Unlicense)
|
Reference-counted arbitrary precision complex number library. More...
#include <stdint.h>#include <stddef.h>#include <stdbool.h>#include <stdlib.h>#include <stdio.h>#include <string.h>#include <math.h>#include <complex.h>#include <assert.h>#include "dynamic_int.h"#include "dynamic_fraction.h"Go to the source code of this file.
Data Structures | |
| struct | dc_complex_int_internal |
| Internal structure for a Gaussian integer. More... | |
| struct | dc_complex_frac_internal |
| Internal structure for a rational complex number. More... | |
| struct | dc_complex_double_internal |
| Internal structure for a floating-point complex number. More... | |
Macros | |
| #define | DC_MALLOC malloc |
| #define | DC_FREE free |
| #define | DC_ASSERT assert |
| #define | DC_ATOMIC_REFCOUNT 0 |
| #define | DC_ATOMIC_SIZE_T size_t |
| #define | DC_ATOMIC_FETCH_ADD(ptr, val) (*(ptr) += (val), *(ptr) - (val)) |
| #define | DC_ATOMIC_FETCH_SUB(ptr, val) (*(ptr) -= (val), *(ptr) + (val)) |
| #define | DC_ATOMIC_LOAD(ptr) (*(ptr)) |
| #define | DC_ATOMIC_STORE(ptr, val) (*(ptr) = (val)) |
| #define | DC_DEC extern |
| #define | DC_DEF /* nothing - default linkage */ |
Typedefs | |
| typedef struct dc_complex_int_internal * | dc_complex_int |
| Opaque pointer to a Gaussian integer (complex number with integer components) | |
| typedef struct dc_complex_frac_internal * | dc_complex_frac |
| Opaque pointer to a rational complex number. | |
| typedef struct dc_complex_double_internal * | dc_complex_double |
| Opaque pointer to a floating-point complex number. | |
Functions | |
| dc_complex_int | dc_int_from_ints (int64_t real, int64_t imag) |
| Create a Gaussian integer from int64_t real and imaginary parts. | |
| dc_complex_int | dc_int_from_di (di_int real, di_int imag) |
| Create a Gaussian integer from dynamic integer components. | |
| dc_complex_int | dc_int_zero (void) |
| Get the Gaussian integer zero (0 + 0i) | |
| dc_complex_int | dc_int_one (void) |
| Get the Gaussian integer one (1 + 0i) | |
| dc_complex_int | dc_int_i (void) |
| Get the Gaussian integer i (0 + 1i) | |
| dc_complex_int | dc_int_neg_one (void) |
| Get the Gaussian integer -1 (-1 + 0i) | |
| dc_complex_int | dc_int_neg_i (void) |
| Get the Gaussian integer -i (0 - 1i) | |
| dc_complex_int | dc_int_retain (dc_complex_int c) |
| Increment reference count and return the same object. | |
| void | dc_int_release (dc_complex_int *c) |
| Decrement reference count and possibly free memory. | |
| dc_complex_int | dc_int_copy (dc_complex_int c) |
| Create a new copy with reference count 1. | |
| dc_complex_int | dc_int_add (dc_complex_int a, dc_complex_int b) |
| Add two Gaussian integers. | |
| dc_complex_int | dc_int_sub (dc_complex_int a, dc_complex_int b) |
| Subtract two Gaussian integers. | |
| dc_complex_int | dc_int_mul (dc_complex_int a, dc_complex_int b) |
| Multiply two Gaussian integers. | |
| dc_complex_frac | dc_int_div (dc_complex_int a, dc_complex_int b) |
| Divide two Gaussian integers (returns exact rational result) | |
| dc_complex_int | dc_int_negate (dc_complex_int c) |
| Negate a Gaussian integer. | |
| dc_complex_int | dc_int_conj (dc_complex_int c) |
| Complex conjugate of a Gaussian integer. | |
| di_int | dc_int_real (dc_complex_int c) |
| Get the real part of a Gaussian integer. | |
| di_int | dc_int_imag (dc_complex_int c) |
| Get the imaginary part of a Gaussian integer. | |
| bool | dc_int_eq (dc_complex_int a, dc_complex_int b) |
| Test if two Gaussian integers are equal. | |
| bool | dc_int_is_zero (dc_complex_int c) |
| Test if a Gaussian integer is zero. | |
| bool | dc_int_is_real (dc_complex_int c) |
| Test if a Gaussian integer is real (imaginary part is zero) | |
| bool | dc_int_is_imag (dc_complex_int c) |
| Test if a Gaussian integer is purely imaginary (real part is zero) | |
| char * | dc_int_to_string (dc_complex_int c) |
| Convert Gaussian integer to mathematical string representation. | |
| dc_complex_frac | dc_frac_from_ints (int64_t real_num, int64_t real_den, int64_t imag_num, int64_t imag_den) |
| Create a rational complex number from integer components. | |
| dc_complex_frac | dc_frac_from_df (df_frac real, df_frac imag) |
| Create a rational complex number from fraction components. | |
| dc_complex_frac | dc_frac_zero (void) |
| Get the rational complex zero (0/1 + 0/1 i) | |
| dc_complex_frac | dc_frac_one (void) |
| Get the rational complex one (1/1 + 0/1 i) | |
| dc_complex_frac | dc_frac_i (void) |
| Get the rational complex i (0/1 + 1/1 i) | |
| dc_complex_frac | dc_frac_neg_one (void) |
| Get the rational complex -1 (-1/1 + 0/1 i) | |
| dc_complex_frac | dc_frac_neg_i (void) |
| Get the rational complex -i (0/1 + -1/1 i) | |
| dc_complex_frac | dc_frac_retain (dc_complex_frac c) |
| Increment reference count and return the same object. | |
| void | dc_frac_release (dc_complex_frac *c) |
| Decrement reference count and possibly free memory. | |
| dc_complex_frac | dc_frac_copy (dc_complex_frac c) |
| Create a new copy with reference count 1. | |
| dc_complex_frac | dc_frac_add (dc_complex_frac a, dc_complex_frac b) |
| Add two rational complex numbers. | |
| dc_complex_frac | dc_frac_sub (dc_complex_frac a, dc_complex_frac b) |
| Subtract two rational complex numbers. | |
| dc_complex_frac | dc_frac_mul (dc_complex_frac a, dc_complex_frac b) |
| Multiply two rational complex numbers. | |
| dc_complex_frac | dc_frac_div (dc_complex_frac a, dc_complex_frac b) |
| Divide two rational complex numbers. | |
| dc_complex_frac | dc_frac_negate (dc_complex_frac c) |
| Negate a rational complex number. | |
| dc_complex_frac | dc_frac_conj (dc_complex_frac c) |
| Complex conjugate of a rational complex number. | |
| dc_complex_frac | dc_frac_reciprocal (dc_complex_frac c) |
| Reciprocal of a rational complex number. | |
| df_frac | dc_frac_real (dc_complex_frac c) |
| Get the real part of a rational complex number. | |
| df_frac | dc_frac_imag (dc_complex_frac c) |
| Get the imaginary part of a rational complex number. | |
| bool | dc_frac_eq (dc_complex_frac a, dc_complex_frac b) |
| Test if two rational complex numbers are equal. | |
| bool | dc_frac_is_zero (dc_complex_frac c) |
| Test if a rational complex number is zero. | |
| bool | dc_frac_is_real (dc_complex_frac c) |
| Test if a rational complex number is real (imaginary part is zero) | |
| bool | dc_frac_is_imag (dc_complex_frac c) |
| Test if a rational complex number is purely imaginary (real part is zero) | |
| bool | dc_frac_is_gaussian_int (dc_complex_frac c) |
| Test if a rational complex number is actually a Gaussian integer. | |
| char * | dc_frac_to_string (dc_complex_frac c) |
| Convert rational complex number to mathematical string representation. | |
| dc_complex_double | dc_double_from_doubles (double real, double imag) |
| Create a floating-point complex number from real and imaginary parts. | |
| dc_complex_double | dc_double_from_polar (double magnitude, double angle) |
| Create a floating-point complex number from polar coordinates. | |
| dc_complex_double | dc_double_zero (void) |
| Get the floating-point complex zero (0.0 + 0.0i) | |
| dc_complex_double | dc_double_one (void) |
| Get the floating-point complex one (1.0 + 0.0i) | |
| dc_complex_double | dc_double_i (void) |
| Get the floating-point complex i (0.0 + 1.0i) | |
| dc_complex_double | dc_double_neg_one (void) |
| Get the floating-point complex -1 (-1.0 + 0.0i) | |
| dc_complex_double | dc_double_neg_i (void) |
| Get the floating-point complex -i (0.0 + -1.0i) | |
| dc_complex_double | dc_double_retain (dc_complex_double c) |
| Increment reference count and return the same object. | |
| void | dc_double_release (dc_complex_double *c) |
| Decrement reference count and possibly free memory. | |
| dc_complex_double | dc_double_copy (dc_complex_double c) |
| Create a new copy with reference count 1. | |
| dc_complex_double | dc_double_add (dc_complex_double a, dc_complex_double b) |
| Add two floating-point complex numbers. | |
| dc_complex_double | dc_double_sub (dc_complex_double a, dc_complex_double b) |
| Subtract two floating-point complex numbers. | |
| dc_complex_double | dc_double_mul (dc_complex_double a, dc_complex_double b) |
| Multiply two floating-point complex numbers. | |
| dc_complex_double | dc_double_div (dc_complex_double a, dc_complex_double b) |
| Divide two floating-point complex numbers. | |
| dc_complex_double | dc_double_negate (dc_complex_double c) |
| Negate a floating-point complex number. | |
| dc_complex_double | dc_double_conj (dc_complex_double c) |
| Complex conjugate of a floating-point complex number. | |
| dc_complex_double | dc_double_exp (dc_complex_double c) |
| Complex exponential function. | |
| dc_complex_double | dc_double_log (dc_complex_double c) |
| Complex natural logarithm. | |
| dc_complex_double | dc_double_pow (dc_complex_double a, dc_complex_double b) |
| Complex power function. | |
| dc_complex_double | dc_double_sqrt (dc_complex_double c) |
| Complex square root. | |
| dc_complex_double | dc_double_sin (dc_complex_double c) |
| Complex sine function. | |
| dc_complex_double | dc_double_cos (dc_complex_double c) |
| Complex cosine function. | |
| dc_complex_double | dc_double_tan (dc_complex_double c) |
| Complex tangent function. | |
| dc_complex_double | dc_double_sinh (dc_complex_double c) |
| Complex hyperbolic sine function. | |
| dc_complex_double | dc_double_cosh (dc_complex_double c) |
| Complex hyperbolic cosine function. | |
| dc_complex_double | dc_double_tanh (dc_complex_double c) |
| Complex hyperbolic tangent function. | |
| double | dc_double_real (dc_complex_double c) |
| Get the real part of a floating-point complex number. | |
| double | dc_double_imag (dc_complex_double c) |
| Get the imaginary part of a floating-point complex number. | |
| double | dc_double_abs (dc_complex_double c) |
| Get the absolute value (magnitude) of a complex number. | |
| double | dc_double_arg (dc_complex_double c) |
| Get the argument (phase angle) of a complex number. | |
| bool | dc_double_eq (dc_complex_double a, dc_complex_double b) |
| Test if two floating-point complex numbers are equal. | |
| bool | dc_double_is_zero (dc_complex_double c) |
| Test if a floating-point complex number is zero. | |
| bool | dc_double_is_real (dc_complex_double c) |
| Test if a floating-point complex number is real (imaginary part is zero) | |
| bool | dc_double_is_imag (dc_complex_double c) |
| Test if a floating-point complex number is purely imaginary (real part is zero) | |
| bool | dc_double_is_nan (dc_complex_double c) |
| Test if a floating-point complex number contains NaN. | |
| bool | dc_double_is_inf (dc_complex_double c) |
| Test if a floating-point complex number contains infinity. | |
| char * | dc_double_to_string (dc_complex_double c) |
| Convert floating-point complex number to mathematical string representation. | |
| dc_complex_frac | dc_int_to_frac (dc_complex_int c) |
| Convert Gaussian integer to rational complex (lossless) | |
| dc_complex_double | dc_int_to_double (dc_complex_int c) |
| Convert Gaussian integer to floating-point complex (lossless for small integers) | |
| dc_complex_double | dc_frac_to_double (dc_complex_frac c) |
| Convert rational complex to floating-point complex. | |
| dc_complex_int | dc_frac_to_int (dc_complex_frac c) |
| Convert rational complex to Gaussian integer (with rounding) | |
| dc_complex_int | dc_double_to_int (dc_complex_double c) |
| Convert floating-point complex to Gaussian integer (with rounding) | |
| dc_complex_frac | dc_double_to_frac (dc_complex_double c, int64_t max_denominator) |
| Convert floating-point complex to rational complex (with approximation) | |
Reference-counted arbitrary precision complex number library.
Single header library for arbitrary precision complex numbers with reference counting. Supports three distinct complex number types:
Customize the library by defining these macros before including:
Definition in file dynamic_complex.h.
| #define DC_ASSERT assert |
Definition at line 81 of file dynamic_complex.h.
| #define DC_ATOMIC_FETCH_ADD | ( | ptr, | |
| val | |||
| ) | (*(ptr) += (val), *(ptr) - (val)) |
Definition at line 102 of file dynamic_complex.h.
| #define DC_ATOMIC_FETCH_SUB | ( | ptr, | |
| val | |||
| ) | (*(ptr) -= (val), *(ptr) + (val)) |
Definition at line 103 of file dynamic_complex.h.
| #define DC_ATOMIC_LOAD | ( | ptr | ) | (*(ptr)) |
Definition at line 104 of file dynamic_complex.h.
| #define DC_ATOMIC_REFCOUNT 0 |
Definition at line 86 of file dynamic_complex.h.
| #define DC_ATOMIC_SIZE_T size_t |
Definition at line 101 of file dynamic_complex.h.
| #define DC_ATOMIC_STORE | ( | ptr, | |
| val | |||
| ) | (*(ptr) = (val)) |
Definition at line 105 of file dynamic_complex.h.
| #define DC_DEC extern |
Definition at line 113 of file dynamic_complex.h.
| #define DC_DEF /* nothing - default linkage */ |
Definition at line 114 of file dynamic_complex.h.
| #define DC_FREE free |
Definition at line 76 of file dynamic_complex.h.
| #define DC_MALLOC malloc |
Definition at line 72 of file dynamic_complex.h.
Opaque pointer to a floating-point complex number.
Definition at line 141 of file dynamic_complex.h.
Opaque pointer to a rational complex number.
Definition at line 135 of file dynamic_complex.h.
Opaque pointer to a Gaussian integer (complex number with integer components)
Definition at line 129 of file dynamic_complex.h.
1.9.8