MYLIB file instructions
All library functions are compiled in Turbo C 3.0, currently a total of 72 functions, including some algorithms commonly used in mathematical models and numerical analysis, such as various random numbers, matrix classes, complex class operations, integral transformation, function graphics , The operation, various combinations, graphic algorithms, etc.
1. Function name: Error
Function: Capture error, end the program
Usage: void error (char * message)
Parameters: message: Error message
Return: None
2. Function name: _pause
Function: Waiting for the button
Usage: void _pause (void)
Parameters: no
Return: None
3. Function name: _delay
Function: delay
Usage: void _delay (double delaytime)
Parameters: delayTime: seconds (accurate to 1 microseconds)
Return: None
4. Function name: _Time
Function: Take the current system time (the total number of seconds after the day)
Usage: double _time (void)
Parameters: no
Return: The total number of seconds after the day (accurate to 1 microsecond)
5. Function name: _dif
Function: Calculate two time difference (can be used to calculate the runtime runtime)
Usage: Double_DIF (Double Start, Double End)
Parameters: Start: Start Time, End: End Time
Return: Time difference (accurate to 1 microsecond)
Example:
#include "mylib.h"
void main ()
{
Double Start, End, DIF;
START = _Time ();
_DELAY (5.00);
End = _time ();
DIF = _DIF (start, end);
Printf ("/ N% LF,% LF,% lf / n", start, end, dif);
}
6. Function name: _alloc2
Function: Assign a two-dimensional dynamic array
Usage: double ** _ alloc2 (int R, INT C)
Parameters: r: Route, C: Column number
Returns: a two-dimensional dynamic array
7. Function name: _alloc2_int
Function: Assign a two-dimensional dynamic array (integer array)
Usage: int ** _ alloc2_int (int R, INT C)
Parameters: r: Route, C: Column number
Returns: a two-dimensional dynamic array
8. Function name: _alloc2free
Function: Release a two-dimensional dynamic array
Usage: void _alloc2free (double ** x)
Parameters: a two-dimensional dynamic array
Return: None
9. Function name: _dtoa
Function: Convert a double-precision variable into a string (retain three valid decimal numbers)
Usage: void_dtoa (double value, char * string)
Parameters: Value: Double-precision variable, string: string returns: no
10. Function name: _putString
Function: Under the graphical interface, output strings
Usage: void _putString (int X, int y, char * msg, int color)
Parameters: x: Screen X Coordinate, Y: Screen Y Coordinates, MSG: String, Color, Font Color
Return: None
11. Function name: _fac
Function: Ask for a number of steps (number no more than 12)
Usage: long _fac (int N)
Parameters: N: Number
Return: step by flight
12. Function name: _fac2
Function: Seeking a whole number of steps (no more than 32767)
Usage: int _fac2 (INT N, INT * A)
Parameters: N: Number, A: One-dimensional array (number of digits after the delivery of the steps)
Returns: the number of steps
13. Function name: _random
Function: Generate a random number in (0,1) innerly distributed, to initialize the random number generator with Randomize
Usage: double _random (void)
Parameters: no
Return: Random
14. Function Name: _RAND
Function: Generate a random integer that is evenly distributed in (0, SEED)
Usage: int _rand (int seed)
Parameters: SEED: Upper
Return: Random integer
15. Function Name: _AVG
Function: Generate a random number in which evenly distributed in (A, B)
Usage: double _avg (Double A, Double B)
Parameters: a: Down, B: Upper
Return: Random
16. Function name: _STA
Function: Generate a normal distribution random number with MU mean, Sigma is variance
Usage: Double_sta (Double Mu, Double Sigma)
Parameters: MU: mean, Sigma: Various
Return: Normal distribution random
17. Function name: _STA2
Function: Generate a normal distribution random number with MU-mean, sigma varies (fast, but there is bug)
Usage: Double_sta2 (Double Mu, Double Sigma)
Parameters: MU: mean, Sigma: Various
Return: Normal distribution random
18. Function name: _kai
Function: Generate a card distribution with N-as degrees
Usage: double _kai (int N)
Parameters: N: Delivery
Returns: Card Fang Distribution Random
19. Function name: _TDIS
Function: Generate a T distribution with n as degrees of freedom
Usage: double _TDIS (int N)
Parameters: N: Delivery
Return: T Distribution Random
20. Function name: _f function: Generate a F-distribution with N1 and N2
Usage: double _f (int N1, int N2)
Parameters: N1, N2: Delivery
Return: f Distribution Random
Random number part program example:
#include "mylib.h"
void main ()
{
Double _kai (int N);
Long i;
Double R;
Double S, E, D;
s = _time ();
Randomize ();
For (i = 1; i <= 10000; i )
R = _kai (12);
e = _time ();
D = _DIF (s, e);
Printf ("% lf / n", d);
}
21. Function name: _poisson
Function: Generate a Poisson distribution with LAM parameters
Usage: Double_poisson (int K, Double LAM)
Parameters: k, lam: parameters
Return: Poisson distribution random number
22. Function name: _mean
Function: Average of a continuous part of an array
Usage: double _me (double * a, int start, int end)
Parameters: A: Array, Start: Array Start Location, End: An array end position
Return: average
23. Function name: _variance
Function: A variety of consecutive parts
Usage: Double _variance (double * a, int start, int end)
Parameters: A: Array, Start: Array Start Location, End: An array end position
Return: Various
24. Function name: _Linear
Function: linear fit
Usage: double _Linear (double * x, double * y, double * a, double * b, int N)
Parameters: x: Fitting point of the horizontal list, Y: ordinate, A: intercept, B: slope, N: Number of points
Returns: non-biasing measurement of the fit point variance
25. Function Name: _ADJ_FORM
Function: An adjacency matrix is generated by the line connection table
Usage: double ** _ adj_form (double (* a) [3], int N, int m)
Parameters: A: Connection Table (the first two elements in the table are two endpoints, the third element is the weight of the side), N: summary points, M: Side
Return: Neighboring Matrix
26. Function name: _floyd
Function: FLOYD algorithm seeks the shortest path between two points
Usage: double _floyd (int I, int J, int K, double ** d)
Parameters: i, j: two points tag, K: Number of nodes minus one
Return: the shortest path
Example:
#include "mylib.h"
#define max INT_MAX
#define n 7
Double di [n] [n] = {
{MAX, 2.0, 5.0, 3.0, Max, Max, Max},
{2.0, Max, 2.0, Max, Max, 7.0, Max}, {5.0, 2.0, Max, 1.0, 3.0, 5.0, Max},
{3.0, Max, 1.0, Max, 5, Max, Max},
{MAX, MAX, 3.0, 5.0, Max, 1.0, 7.0},
{MAX, 7.0, 5.0, Max, 1.0, Max, 5.0},
{Max, Max, Max, Max, 7.0, 5.0, Max}
}
Void main (void)
{
Double Temp, ** g;
INT I, J;
G = _alloc2 (n, n);
For (i = 0; i For (j = 0; j G [i] [j] = di [i] [j]; Temp = _floyd (0, 6, n-1, g); Printf ("/ N% LF", TEMP); } 27. Function name: _dijkstra Function: Dijkstra algorithm for the shortest path between two points Usage: double _dijkstra (graph ** g, int N, int s, int ince, int * path, int * count) Parameters: g: Neighboring matrix, N: Number of nodes, S: Start Node, T: End Node, Path: Shortest Path Table, Count: Path Return: the shortest path Example: #include "mylib.h" #define n 9 #define m 32767 void main () { Graph a [n] [n] = { M, 4, M, M, M, M, M, 8, M, 4, M, 8, M, M, M, M, 11, M, M, 8, m, 7, m, 4, m, m, 2, M, M, 7, M, 9, 14, M, M, M, M, M, M, 9, M, 10, M, M, M, M, M, 4, 14, 10, m, 2, m, m, M, M, M, M, M, 2, M, 1, 6, 8, 11, m, m, m, m, 1, m, 7, M, M, 2, M, M, M, 6, 7, M, } INT * PATH, W, I, J, ** G, COUNT; Path = (int *) malloc (n * sizeof (int)); G = _alloc2_int (n, n); For (i = 0; i For (j = 0; j G [i] [j] = a [i] [j]; W = _dijkstra (G, N, 0, 6, Path, & count); Printf ("/ n% d / n", w); For (i = 0; i {Printf ("% d", * path); Path ; } 28. Function name: _0618 Function: 0.618 Function Split function minimum Usage: double _0618 (double x) (Double X), Double START, DOUBLE END, DOUBLE EPS Parameters: F: Function name, start, end: left and right intervals, EPS: accuracy Return: Minimum Example: #include "mylib.h" Double F (double X) { RETURN X * X X * 16.0 3.0; } void main () { Double F (double x); Double A, B, R, EPS; A = -10.0; b = 8.0; EPS = 0.001; R = _0618 (F, A, B, EPS); Printf ("% lf / n", r); } 29. Function name: _2div Function: All single real roots with two-point legal equation Usage: int _2div (double x), Double A, Double B, Double H, Double EPS, Double * x, int N, int * m) Parameters: F: Function name, A, B: left and right intervals, h: step size, eps: accuracy, x: output parameters, store all single real roots, N: estimated values of the roots of equation, M: actual results Number of equation roots Return: function execution status Example: #include "mylib.h" Double F (double X) { Return sin (x); } void main () { INT I, N, M; Double A, B, H, EPS, * X; n = 3; X = (double *) Calloc (n, sizeof (double)); IF (x == NULL) exit (1); A = -2; B = 7; H = 0.1; EPS = 1e-10; _2DIV (F, A, B, H, EPS, X, N, & M); Printf ("M =% D / N", M); For (i = 0; i Printf ("% E / N", x [i]); Free (x); } 30. Function name: _INTEGRAL Function: Class parabolic method curve points Usage: double _INTEGRAL (Double X) (Double X), Double Start, Double End, Int N) Parameters: F: Function name, start, end: left and right intervals, N: number (even) Return: points value 31. Function name: _INTEGRAL2 Function: Trapezoidal Curve Credits Usage: double _INTEGRAL2 (Double X), Double START, DOUBLE END, INT DIV Parameters: f: Function name, start, end: left and right intervals, DIV: The number of partition rooms Return: points value 32. Function name: _comb Function: combination Usage: long _comb (int N, int M) Parameters: n, m Return: combination 33. Function name: _rank Function: arrangement Usage: long _rank (int N, int M) Parameters: n, m Back: Arrangement 34. Function name: _ALLCOMB_DG Function: Recommend all combinations (called _ALLCOMB) Usage: void _allcomb_dg (int * ps, int * pe, int elems, int buf [], int bufsz, int ** comb, int * iCount) parameter: Return: None 35. Function name: _ALLCOMB Function: See all combinations Usage: void_allcomb (int * list, int N, int elems, int **) Parameters: List: Combination table, N: Number of tables, ELEMS: Number of combined numbers, COMB: All combinations Return: None Sample: (including _comb and _rank function) #include "mylib.h" void main () { LONG C, D; INT I, J; INT ELEM = 3, N = 6, M; int List [] = {1, 2, 3, 4, 5, 6}; Int ** Comb; CLRSCR (); Comb = _alloc2_int (_COMB (N, ELEM), ELEM); _ALLCOMB (List, N, Elem, COMB); For (i = 0; i <_comb (n, elem); i ) { For (j = 0; j Printf ("% D", Comb [i] [j]); Printf ("/ n"); } Printf ("Total:% D / N", _ COMB (n, elem); n = 12; m = 7; C = _rank (n, m); D = _comb (n, m); Printf ("% ld% ld / n", c, d); } 36. Function name: _allrank_dg Function: Hand-arranged problems of M elements (called _allrank) Usage: void _allrank_dg (int M, INT K, INT S, INT * A, INT * FLAG, INT * iCOUNT, INT ** RANK) parameter: Return: None 37. Function name: _allrank Function: Qualification of M elements Usage: void _allrank (int M, int ** rank) Parameters: M: Elements, Rank: All Right Lines Return: None Example: #include "mylib.h" void main () { Int ** rank, i, j; CLRSCR (); Rank = _alloc2_int (120, 5); _allrank (5, rank); For (i = 0; i <120; i ) { For (j = 0; j <5; j ) Printf ("% d", rank [i] [j]); Printf ("/ n"); IF (i% 20 == 0) getCH (); } } 38. Function name: _bolziman Function: Annealing Algorithm BOLZIMAN Function or Bolziman Machine Learning Rule Function Usage: int _bolziman (Double de, Double T) Parameters: DE: Energy difference, T: Current temperature Returns: Do you accept 39. Function name: _isprime Function: Judging whether a number is a lot Usage: int _isprime (long P) Parameters: P: The number to be judged Returns: Is it a lot? 40. Function name: _prime function: value of nth quality Usage: long _prime (int N) Parameters: n Back: Number N Example: #include "mylib.h" void main () { Long P = 65537; INT Prime = 1, N = 12000; Long PP; Prime = _ISprime (p); Printf ("% d / n", prime); PP = _Prime (n); Printf ("% ld / n", pp); } 41. Function name: _Swapi Function: Exchange two integer data Usage: void _swapi (int * a, int * b) Parameters: a, b: Two integer data Return: None 42. Function name: _SWAPL Function: Exchange two long integer data Usage: void _Swapl (long * a, long * b) Parameters: a, b: Two long integer data Return: None 43. Function name: _SWAPD Function: Exchange two double precision type data Usage: void _swapd (double * a, double * b) Parameters: a, b: Two double intensive data Return: None 44. Function name: _inv Function: Transposition of a one-dimensional array Usage: void _inv (int * x, int N) Parameters: x: One-dimensional array, N: number of array elements Return: None 45. Function name: _sort Function: Sprinkler Usage: void _sort (double * x, int N) Parameters: x: One-dimensional array, N: number of array elements Return: None 46. Function name: _max2 Function: ask two larger values Usage: long_max2 (long n, long m) Parameters: N, M: Long integer Return: larger value 47. Function name: _min2 Function: Sign in two numbers Usage: long_min2 (long n, long m) Parameters: N, M: Long integer Return: Smaller 48. Function name: _max Function: Ask for a maximum of the number, and return this location Usage: double _max (double * array, int n, int * id) Parameters: Array: One-dimensional array, N: Element number, ID: The location where the maximum value is returned Return: maximum 49. Function name: _min Function: Ask for a maximum of the number, and return this location Usage: double _min (double * array, int n, int * id) Parameters: array: One-dimensional array, N: element, ID: The location of the minimum value Return: Minimum 50. Function name: _gcd Function: See the number of two numbers Usage: long _gcd (long M, long n) parameters: m, n Return: the largest number of conventions 51. Function name: _lcm Function: ask two minimal multiple Usage: long _lcm (long M, long n) Parameters: M, N Return: Minimum male 52. Function name: _initgraph Function: Initialization Graphics Interface Usage: void _initgraph (void) Parameters: no Return: None 53. Function name: _SetPlotDefault Function: Set the default drawing interface Usage: void _setPlotDefault (void) Parameters: no Return: None 54. Function name: _plot Function: draw a function curve Usage: void _plot (double x) (double x), double st, double end Parameters: f: Function equation, start, end: left and right intervals Return: None Example: #include "mylib.h" Double F (double X) { RETURN -X * X 8 * x 10; } void main () { _INITGRAPH (); _Plot (f, 2, 10); While (bioskey (1) == 0); Closegraph (); } 55. Function name: _line_equation Function: Linear equation Usage: double _line_equation (double x, double a, double b) Parameters: x: horizontal coordinate, A: intercept, B: slope Returns: ordinate 56. Function name: _fit Function: Linear fitted by graphical Usage: void _fit (double * x, double * y, int N) Parameters: x: The horizontal scale of the fitting point, Y: ordinate table, N: Number of fitting points Return: None Example: #include "mylib.h" void main () { Double x [] = {2.0, 3.0, 4.0, 4.5, 5.0, 6.0, 7.2, 8.3, 8.9, 10.0, 14.2}, Y [] = {4.2, 5.5, 7.3, 9.6, 10.1, 12.3, 14.6, 16.9, 19.0, 21.0, 24.9}; _INITGRAPH (); _Fit (x, y, 11); While (bioskey (1) == 0); Closegraph (); } 57. Function name: _CPLUS Function: Multiple additional operation Usage: Complex_Cplus (Complex Z1, Complex Z2) Parameters: Z1, Z2: Two plural Returns: the complex number 58. Function name: _cminus Function: Multiple subtraction operation Usage: Complex_Cminus (Complex Z1, Complex Z2) Parameters: Z1, Z2: Two plural Returns: the complex number 59. Function Name: _cmul Features: Multiplication Multiplication Usage: Complex_cmul (Complex Z1, Complex Z2) Parameters: Z1, Z2: Two plural Returns: the complex number 60. Function name: _CDIV Function: plural division operation Usage: Complex_CDIV (Complex Z1, Complex Z2) Parameters: Z1, Z2: Two plural Returns: the complex number 61. Function name: _CABS Function: Module Usage: double _CABS (Complex Z) Parameters: z: Multiple Return: model 62. Function name: _croot Function: Roots of complexes Usage: void _croot (Complex Z1, INT N, Complex * Z) Parameters: z1: Multiple, N: N times, z: Store N roots Return: None 63. Function name: _cpow Function: Power Operation Usage: Complex_cpow (Complex Z1, Double W) Parameters: Z1: Multiple, W: Power Return: Multiple power 64. Function name: _lag Function: LagRange interpolation calculation Usage: double _lag (double * x, double * y, double t, int N) Parameters: x: Interpolated Sidal Table, Y: Disposal Point of Interpolated Point, T: Trouble Point, N: Interpolated Point Returns: Function value of interpolated points Example: #include "mylib.h" void main () { Int n; Double * x, * y, t, sum; T = 0.15; n = 6; X = (double *) Calloc (n, sizeof (double)); IF (x == NULL) exit (1); Y = (double *) Calloc (n, sizeof (double)); IF (y == NULL) EXIT (1); X [0] = 0; x [1] = 0.1; x [2] = 0.195; x [3] = 0.3; x [4] = 0.401; x [5] = 0.5; y [0] = 0.39894; y [1] = 0.39695; y [2] = 0.39142; y [3] = 0.38138; y [4] = 0.36812; y [5] = 0.35206; SUM = _LAG (x, y, t, n); Printf ("% lf / n", sum); Free (x); Free (y); } 65. Function name: _newt Function: Newton interpolation calculation Usage: double _newt (double * x, double * y, int N, double t) Parameters: x: Interpolated Sidal Table, Y: Longitudinal Table of Interpolation Point, N: Interpolated Point, T: Trouble Point Returns: Function value of interpolated points 66. Function name: _MGAUSS Function: GAUSS Element Fixation Solution Linear Equation Group Try: Int_Mgauss (Double ** A, Double * B, INT N, DOUBLE EP) Parameters: A: Coefficient Matrix, B: Wheel Value, N: Equator Number, EP: Accuracy Returns: Do you have a solution? Example: #include "mylib.h" void main () { INT I, N; Double ** a, * b, EP; n = 3; a = _alloc2 (n, n); B = (double *) Calloc (n, sizeof (double)); IF (b == NULL) exit (1); EP = 1e-12; A [0] [0] = 1; A [0] [1] = - 1; a [0] [2] = 1; A [1] [0] = 5; A [1] [1] = - 4; A [1] [2] = 3; A [2] [0] = 2; A [2] [1] = 1; A [2] [2] = 1; B [0] = - 4; B [1] = - 12; B [2] = 11; IF (! _ mgauss (A, B, N, EP)) { Printf ("failed! / n"); Exit (1); } For (i = 0; i <= 2; i ) Printf ("x [% d] =% f / n", i 1, b [i]); _ALLOC2FREE (A); Free (b); } 67. Function name: _MGAUSS2 Function: Solving the multiplier of the matrix (AX = B) Usage: int _mgauss2 (double ** a, double ** b, int N, int m, double ep) Parameters: A: Matrix A, B: Matrix B, N: The order of equation, M: Right end column vector, EP: accuracy Returns: Do you have a solution? 68. Function name: _MDJN Function: Decomposition of linear symmetric equations Usage: int _mdjn (double ** a, double ** C, INT N, INT M) Parameters: A: Matrix A, C: Matrix C, N: The order of equation, M: Right end column vector Returns: Do you have a solution? 69. Function Name: _NOR Function: Normal distribution function (| x | <= 3.5 is approximated when | x |> 3.5 is approximated) Usage: double _nor (double x, int L) Parameters: x: Variable, L: L = 1 Calculate the integral of negative infinity to x, l = -1 calculates X to an infinite integration Return: points value Example: #include "mylib.h" void main () { Double X; For (x = 0; x <= 5; x = 0.5) Printf ("% E / T% E / T% E / N", X, _NOR (X, 1), _ NOR (X, -1)); } 70. Function name: _mdet Function: Severe value of matrix Usage: double _mdet (double ** a, int N) Parameters: A: A matrix of N * N, N: Route Returns: Value 71. Function name: _MINV Function: Reverse of matrix Usage: int _minv (double tt, double * t, double * tt, int N, int m, double ** b) parameter: return: 72. Function name: _FFT Function: FFT transformation Usage: void _fft (double * fr, double * fi, int n, int flag) Parameters: fr: Digital Table of the Sample Point, Fi: Digital Table of Sample Point, N: Sample Number, Flag: Flag = 0 Indicates Fourier Transform, Flag = 1 Indicates the reverse Fourier transformation Return: None
