C语言实现矩阵
矩阵作为一个结构体而言,至少要包含行数、列数以及数据。
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#include <stdio.h> #include <stdlib.h> #include <string.h> typedef struct { int row, col, size; double *data; } Matrix; |
特殊矩阵
接下来通过这个结构体实现一些特殊的矩阵,例如包括相同元素的矩阵、对角矩阵等。
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#define SetBase(mat) \ (Matrix*) malloc ( sizeof (Matrix));\ mat->row = row;\ mat->col = col;\ mat->size = row*col;\ mat->data = ( double *) malloc (mat->size* sizeof ( double )) //特殊矩阵 Matrix* Sames( double n, int row, int col){ Matrix* mat = SetBase(mat); for ( int i = 0; i < mat->size; i++) mat->data[i]=n; return mat; } #define Ones(row,col) Sames(1,row,col) #define Zeros(row,col) Sames(0,row,col) Matrix* Diag( double n, int row, int col){ Matrix* mat = Sames(0,row,col); for ( int i = 0; i < min(row,col) ; i++) mat->data[i*col+i] = n; return mat; } #define Eye(row,col) Diag(1,row,col) Matrix* CountMatrix( int row, int col){ Matrix* mat = SetBase(mat); for ( int i = 0; i < mat->size; i++) mat->data[i]=i; return mat; } //生成[L,R]范围内的随机矩阵 Matrix* RandMat( int row, int col, double L, double R){ Matrix* mat = SetBase(mat); int size=R-L; for ( int i = 0; i < mat->size; i++) mat->data[i] = rand ()%size+L; return mat; } |
特殊矩阵验证
由于要识别输入的函数,所以先新建一个函数的结构体
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typedef struct { char * name; int len; int numPara; //参数个数 double params[MAXLEN]; //参数列表 }Func; |
然后通过字符串来生成Func
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//用于识别函数 void initFunc(Func* func, char * str){ int i = -1; int j = 0; while (str[++i]!= '(' ){} func->len = i; func->name = ( char *) malloc ( sizeof ( char )*func->len); for (j = 0; j < i; j++) func->name[j] = str[j]; func->name[i] = '\0' ; int start = ++i; char temp[MAXLEN]; j = 0; while (str[i]!= ')' ) { if (str[i]== ',' ){ temp[i-start]= '\0' ; start = i+1; func->params[j]= atof (temp); j++; } else temp[i-start]=str[i]; i++; } temp[i-start]= '\0' ; func->params[j]= atof (temp); func->numPara = j+1; } |
接下来需要实现打印矩阵的函数
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void printMat(Matrix * mat){ printf( "mat:" ); printf( "%dx%d=%d\n" ,mat - >col,mat - >row,mat - >size); for ( int i = 0 ; i < mat - >size; i + + ) { printf( "%f," ,mat - >data[i]); if ((i + 1 ) % mat - >col = = 0 ) printf( "\n" ); } } |
最后是main
函数
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int isFunc(Func * func, char * str ){ for ( int i = 0 ; i < func - > len ; i + + ) { if (func - >name[i]! = str [i]) return FALSE; if ( str [i] = = '\0' ) return FALSE; } return TRUE; } #define intPara (int)func->params #define floatPara func->params / / #define isFunc(str) strcmp(func->name,str) int main(){ / / char * str = (char * )malloc(sizeof(char) * MAXLEN); char str [MAXLEN]; Matrix * mat = NULL; Func * func = (Func * )malloc(sizeof(func)); while ( 1 ) { printf( "please input:" ); gets( str ); initFunc(func, str ); if (isFunc(func, "Sames" )) mat = Sames(floatPara[ 0 ],intPara[ 1 ],intPara[ 2 ]); else if (isFunc(func, "Ones" )) mat = Ones(intPara[ 0 ],intPara[ 1 ]); else if (isFunc(func, "Zeros" )) mat = Zeros(intPara[ 0 ],intPara[ 1 ]); else if (isFunc(func, "Diag" )) mat = Diag(floatPara[ 0 ],intPara[ 1 ],intPara[ 2 ]); else if (isFunc(func, "Eye" )) mat = Eye(intPara[ 0 ],intPara[ 1 ]); else if (isFunc(func, "CountMatrix" )) mat = CountMatrix(intPara[ 0 ],intPara[ 1 ]); else if (isFunc(func, "RandMat" )) mat = RandMat(intPara[ 0 ],intPara[ 1 ], floatPara[ 2 ],floatPara[ 3 ]); else continue ; printMat(mat); } } |
验证一下
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PS E:\Code\PL\calc> .\a.exe please input:Ones(4,4) mat:4x4=16 1.000000,1.000000,1.000000,1.000000, 1.000000,1.000000,1.000000,1.000000, 1.000000,1.000000,1.000000,1.000000, 1.000000,1.000000,1.000000,1.000000, please input:Zeros(3,5) mat:5x3=15 0.000000,0.000000,0.000000,0.000000,0.000000, 0.000000,0.000000,0.000000,0.000000,0.000000, 0.000000,0.000000,0.000000,0.000000,0.000000, please input:RandMat(3,3,0,100) mat:3x3=9 41.000000,67.000000,34.000000, 0.000000,69.000000,24.000000, 78.000000,58.000000,62.000000, please input:Eye(3,3) mat:3x3=9 1.000000,0.000000,0.000000, 0.000000,1.000000,0.000000, 0.000000,0.000000,1.000000, please input:CountMatrix(2,4) mat:4x2=8 0.000000,1.000000,2.000000,3.000000, 4.000000,5.000000,6.000000,7.000000, |
以上就是C语言线性代数算法实现矩阵示例代码的详细内容,更多关于C语言算法的资料请关注服务器之家其它相关文章!
原文链接:https://blog.csdn.net/m0_37816922/article/details/120622463?spm=1001.2014.3001.5501