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| #define _XOPEN_SOURCE 500
#define _C99_SOURCE
#include <stdio.h>
#include <math.h>
#include <stdbool.h>
#include <stdlib.h>
#include <string.h>
#include <stdarg.h>
#include <float.h>
#define DEBUG_LOG 7
#define INFO_LOG 5
#define ERR_LOG 4
#ifndef LOG_LEVEL
#define LOG_LEVEL INFO_LOG
#endif
#ifndef GREATER_CHAR
#define GREATER_CHAR ' '
#endif
#ifndef SMALLER_CHAR
#define SMALLER_CHAR '+'
#endif
void logger(int level, const char *format, ...) {
if(level > LOG_LEVEL) return;
va_list args;
va_start(args, format);
int len = vsnprintf(NULL, 0, format, args)+1;
va_end(args);
va_start(args, format);
char *str = malloc(len);
vsprintf(str, format, args);
va_end(args);
fprintf(stderr, "%s\n", str);
free(str);
}
double x1, x2, _y1, _y2, s1, s2;
#define PUSH(s, n) (s[s##_ptr++] = (n))
#define POP(s, n) (n = s[--s##_ptr])
#define TOP(s, n) (n = s[s##_ptr-1])
#define EMPTY(s) (s##_ptr == 0)
enum {
op_acos = 48,
op_asin ,
op_atan ,
op_cos ,
op_cosh ,
op_sin ,
op_sinh ,
op_tan ,
op_tanh ,
op_exp ,
op_log ,
op_floor ,
op_sqrt ,
op_fabs ,
op_ceil
};
const static int op_min = op_acos;
const static int op_max = op_ceil;
static double stack[1024];
static char op_stack[1024];
static int priv[128] = {
[0 ... 39] = 0,
['('] = 1,
[')'] = 2,
['*'] = 3,
['+'] = 2,
[44] = 0,
['-'] = 2,
[46] = 0,
['/'] = 3,
[48 ... 93] = 0,
['^'] = 4,
[95 ... 127] = 0
};
static int stack_ptr = 0;
static int op_stack_ptr = 0;
void logStack() {
logger(DEBUG_LOG, "op_stack: ");
for(int cnt = 0; cnt < op_stack_ptr; cnt++) {
logger(DEBUG_LOG, "%c ", op_stack[cnt]);
}
logger(DEBUG_LOG, "stack: ");
for(int cnt = 0; cnt < stack_ptr; cnt++) {
logger(DEBUG_LOG, "%lf ", stack[cnt]);
}
logger(DEBUG_LOG, "");
}
void biCheck() {
if(EMPTY(stack)) {
logger(ERR_LOG, "empty stack!");
exit(1);
}
}
void pushOP(char cur_op) {
double n1, n2;
char op;
while(!EMPTY(op_stack) && priv[TOP(op_stack, op)] >= priv[cur_op]) {
POP(op_stack, op);
double res = 0;
POP(stack, n2);
if(!EMPTY(stack))POP(stack, n1);
else n1 = 0;
switch(op) {
case '+':
res = n1 + n2;
break;
case '-':
res = n1 - n2;
break;
case '*':
res = n1 * n2;
break;
case '/':
if(n2 == 0) {
logger(ERR_LOG, "divisor is zeor!");
}
res = n1 / n2;
break;
case '^':
res = pow(n1, n2);
break;
default:
break;
}
PUSH(stack, res);
}
}
int len_strncmp(const char *a, const char *b) {
return strncmp(a, b, strlen(b));
}
double eval(double y, double x, const char *expr) {
int len = strlen(expr);
int i = 0;
stack_ptr = 0;
op_stack_ptr = 0;
while(i < len) {
switch(expr[i]) {
case '^':
biCheck();
pushOP(expr[i]);
PUSH(op_stack, expr[i]);
break;
case 'x': case 'X':
PUSH(stack, x);
break;
case 'y': case 'Y':
PUSH(stack, y);
break;
case '(':
PUSH(op_stack, '(');
break;
case ')': {
double n1, n2;
char op;
if(EMPTY(op_stack)) {
logger(ERR_LOG, "no match ')'");
exit(1);
}
pushOP(')');
POP(op_stack, op);
if(TOP(op_stack, op) >= op_min && TOP(op_stack, op) <= op_max) {
POP(op_stack, op);
double n;
if(!EMPTY(stack)) {
POP(stack, n);
} else {
logger(ERR_LOG, "Error : no opvalue");
exit(1);
}
double (*op_func)(double);
switch(op) {
case op_acos:
if(n > 1 || n < -1) return DBL_MAX;
op_func = acos;
break;
case op_asin:
if(n > 1 || n < -1) return DBL_MAX;
op_func = asin;
break;
case op_atan:
op_func = atan;
break;
case op_cos:
op_func = cos;
break;
case op_cosh:
op_func = cosh;
break;
case op_sin:
op_func = sin;
break;
case op_sinh:
op_func = sinh;
break;
case op_tan:
op_func = tan;
break;
case op_tanh:
op_func = tanh;
break;
case op_exp:
op_func = exp;
break;
case op_log:
if(n < 0) return DBL_MAX;
op_func = log;
break;
case op_sqrt:
if(n < 0) return DBL_MAX;
op_func = sqrt;
break;
case op_fabs:
op_func = fabs;
break;
case op_ceil:
op_func = ceil;
break;
case op_floor:
op_func = floor;
break;
}
PUSH(stack, op_func(n));
}
}
break;
case '+':case '-': {
if((i > 0 && expr[i-1] != '(')) {
biCheck();
pushOP(expr[i]);
} else {
PUSH(stack, 0);
}
PUSH(op_stack, expr[i]);
}
break;
case '*':
case '/':
biCheck();
pushOP(expr[i]);
PUSH(op_stack, expr[i]);
break;
case 'p':
if(i + 1 < len && expr[i + 1] == 'i') {
PUSH(stack, M_PI);
i++;
} else {
logger(ERR_LOG, "Error 'pi': unknown char(%c)", expr[i]);
exit(1);
}
break;
case 'e':
PUSH(stack, M_E);
break;
case '0':case '1':case '2':case '3':case '4':case '5':case '6':case '7':case '8':case '9':case '.':
{
double n = 0;
double n1 = 1;
while(i < len) {
if(expr[i] < '0' || expr[i] > '9') {
break;
}
n *= 10;
n += expr[i] - '0';
i++;
}
if(expr[i] == '.') {
i++;
while(i < len && expr[i] != '.') {
if(expr[i] < '0' || expr[i] > '9') {
break;
}
n1 /= 10.0;
n += n1 * (expr[i] - '0');
i++;
}
}if(expr[i] == '.') {
logger(ERR_LOG, "error : two '.' in one number");
exit(1);
}
PUSH(stack, n);
i--;
}
break;
default:
if(!len_strncmp(expr + i, "ACOS")) {
PUSH(op_stack, op_acos);
i+=3;
} else if(!len_strncmp(expr + i, "ASIN")) {
PUSH(op_stack, op_asin);
i+=3;
} else if(!len_strncmp(expr + i, "ATAN")) {
PUSH(op_stack, op_atan);
i+=3;
} else if(!len_strncmp(expr + i, "COS")) {
if(expr[i+3] == 'H') {
PUSH(op_stack, op_cosh);
i+=3;
} else {
PUSH(op_stack, op_cos);
i+=2;
}
} else if(!len_strncmp(expr + i, "SIN")) {
if(expr[i+3] == 'H') {
PUSH(op_stack, op_sinh);
i+=3;
} else {
PUSH(op_stack, op_sin);
i+=2;
}
} else if(!len_strncmp(expr + i, "TAN")) {
if(expr[i+3] == 'H') {
PUSH(op_stack, op_tanh);
i+=3;
} else {
PUSH(op_stack, op_tan);
i+=2;
}
} else if(!len_strncmp(expr + i, "EXP")) {
PUSH(op_stack, op_exp);
i+=2;
} else if(!len_strncmp(expr + i, "LOG")) {
PUSH(op_stack, op_log);
i+=2;
} else if(!len_strncmp(expr + i, "SQRT")) {
PUSH(op_stack, op_sqrt);
i+=3;
} else if(!len_strncmp(expr + i, "FABS")) {
PUSH(op_stack, op_fabs);
i+=3;
} else if(!len_strncmp(expr + i, "CEIL")) {
PUSH(op_stack, op_ceil);
i+=3;
} else if(!len_strncmp(expr + i, "FLOOR")) {
PUSH(op_stack, op_floor);
i+=4;
} else {
logger(ERR_LOG, "Error: unknown char(%c)", expr[i]);
exit(1);
}
break;
}
i++;
logStack();
}
biCheck();
pushOP(0);
logStack();
return stack[0];
}
void INIT(char **argv) {
int i = 0;
_y1 = eval(0, 0, argv[i++]);
_y2 = eval(0, 0, argv[i++]);
s1 = eval(0, 0, argv[i++]);
x1 = eval(0, 0, argv[i++]);
x2 = eval(0, 0, argv[i++]);
s2 = eval(0, 0, argv[i++]);
logger(DEBUG_LOG, "%lf, %lf, %lf, %lf, %lf, %lf\n", _y1, _y2, s1, x1, x2, s2);
}
int main(int argc, char **argv) {
if(argc < 8) {
logger(INFO_LOG, "Usage: %s y1 y2 sy x1 x2 sy expression", argv[0]);
logger(INFO_LOG, "example: %s -1 1 0.125 -1 1 0.0625 \"x*x+y*y-1\" 2>errs.log", argv[0]);
logger(INFO_LOG, "example: %s \"-pi/2\" \"pi/2\" 0.25 \"-3*pi\" \"2*pi\" 0.125 \"y^2-SIN(x+y)^2\" 2>errs.log", argv[0]);
logger(INFO_LOG, "example: %s \"-pi/2\" \"pi/2\" 0.25 \"-3*pi\" \"2*pi\" 0.125 \"y^2-SIN(x)^2\" 2>errs.log", argv[0]);
logger(INFO_LOG, "example: %s \"-2\" \"ACOS(1/2)-pi/4\" 0.125 \"-pi/2\" \"pi/2\" 0.0625 \"y*y+x*x+y-SQRT(y*y+x*x)\" 2>errs.log", argv[0]);
logger(INFO_LOG, "example: %s \"-pi\" \"1\" 0.125 \"-2\" \"2\" 0.0625 \"(ACOS(1-FABS(x))-pi)-y\" \"y-SQRT(1-(FABS(x)-1)^2)\" 2>errs.log", argv[0]);
logger(INFO_LOG, "example: %s \"-1\" \"pi/2\" 0.125 \"-1\" \"1\" 0.0625 \"x*x+(y-FABS(x)^(2.0/3.0))^2-1\" 2>errs.log", argv[0]);
exit(0);
}
INIT(argv + 1);
for(double i = _y2; i >= _y1; ) {
for(double j = x1; j <= x2; ) {
logger(DEBUG_LOG, "x = %lf, y = %lf", j, i);
bool ok = true;
for(char **expr = argv + 7; *expr; expr++) {
if(eval(i, j, *expr) >= 0) {
ok = false;
break;
}
}
if(ok) {
printf("%c", SMALLER_CHAR);
} else {
printf("%c", GREATER_CHAR);
}
j+=s2;
}
printf("\n");
i-=s1;
}
}
|