926 lines
14 KiB
C++
926 lines
14 KiB
C++
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#include "func.h"
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#include "parser.h"
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//#include <math.h>
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//#include <stdlib.h>
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//#include <stdio.h>
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// token types
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#define DELIMITER 1
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#define VARIABLE 2
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#define NUMBER 3
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#define FUNCTION 4
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#define FINISHED 10
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//#define allocmem(x) malloc(x)
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//#define freemem(x) free(x)
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double epsilon = 1e-6;
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// structure for most parser functions
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char token[80];
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int token_type;
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char *prog;
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int code; // error code
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variable_callback *find_var;
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struct double_list
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{
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double val;
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int code; // êîä îøèáêè
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double_list *next;
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};
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double tg(double d)
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{
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double cosd = cos(d);
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if (fabs(cosd) < epsilon)
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{
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serror(ERR_OVERFLOW);
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return 0.0;
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}
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return sin(d) / cosd;
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}
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double ctg(double d)
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{
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double sind = sin(d);
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if (fabs(sind) < epsilon)
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{
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serror(ERR_OVERFLOW);
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return 0.0;
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}
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return cos(d) / sind;
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}
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double exp(double x)
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{
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__asm {
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fld x
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FLDL2E
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FMUL
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FLD st(0)
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FLD1
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FXCH
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FPREM
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F2XM1
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fadd
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FSCALE
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FSTP st(1)
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}
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}
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double log(double x)
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{
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//return 0.0;
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if (x <= 0)
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{
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serror(ERR_OVERFLOW);
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//return 0.0;
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__asm {
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fldz
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}
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}
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__asm {
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FLD1
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FLD x
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FYL2X
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FLDLN2
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FMUL
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}
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}
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double sqrt(double x)
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{
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if (x < 0)
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{
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serror(ERR_BADPARAM);
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__asm {
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fldz
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}
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}
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__asm {
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fld x
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fsqrt
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}
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}
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double atan(double x)
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{
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serror(ERR_GENERAL);
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return 0.0; // â ëîì
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}
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double pow(double x, double y)
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{
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return exp(y * log(x)); //
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}
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double func_pi()
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{
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return 3.14159265358979;
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}
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double func_eps()
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{
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return epsilon;
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}
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double func_if(double_list *p)
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{
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double_list *a, *b, *c;
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a = p;
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b = a->next;
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if (!b)
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{
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serror(ERR_BADPARAM);
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return 0.0;
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}
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c = b->next;
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if (!c || c->next)
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{
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serror(ERR_BADPARAM);
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return 0.0;
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}
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if (a->val != 0.0)
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{
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if (b->code)
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code = b->code;
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return b->val;
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}
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else
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{
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if (c->code)
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code = c->code;
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return c->val;
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}
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}
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double sum(double_list *p)
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{
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double res = 0.0;
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while (p)
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{
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res += p->val;
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if (p->code)
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code = p->code;
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p = p->next;
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}
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return res;
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}
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double func_min(double_list *p)
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{
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if (!p)
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serror(ERR_BADPARAM);
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double res = p->val;
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p = p->next;
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while (p)
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{
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if (p->code)
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code = p->code;
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if (p->val < res)
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res = p->val;
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p = p->next;
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}
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return res;
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}
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double func_max(double_list *p)
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{
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if (!p)
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serror(ERR_BADPARAM);
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double res = p->val;
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p = p->next;
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while (p)
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{
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if (p->code)
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code = p->code;
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if (p->val > res)
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res = p->val;
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p = p->next;
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}
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return res;
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}
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double avg(double_list *p)
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{
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double res = 0.0;
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int count = 0;
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while (p)
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{
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if (p->code)
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code = p->code;
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res += p->val;
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count++;
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p = p->next;
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}
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return res / count;
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}
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double func_isnull(char *str)
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{
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if (code != 0)
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return 0.0;
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double tmp = find_var(str);
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int c = code;
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code = 0;
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if (c != 0)
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return 1.0;
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return 0.0;
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}
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const double HALF = 0.5;
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double func_ceil(double val) // õîòåë round, à ïîëó÷èëñÿ ceil...
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{
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int x;
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__asm fld val
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__asm fld HALF // äà, êðèâîðóêî ^_^
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__asm fadd
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__asm fistp x
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__asm fild x
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}
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double func_round(double val)
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{
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int x;
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__asm fld val
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__asm fld epsilon
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__asm fadd
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__asm fistp x
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__asm fild x
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}
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const double ALMOST_HALF = 0.5 - epsilon;
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double func_floor(double val)
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{
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int x;
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__asm fld val
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__asm fld ALMOST_HALF
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__asm fsub
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__asm fistp x
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__asm fild x
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}
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double logic_xor(double a, double b)
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{
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if (a == 0.0)
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if (b == 0.0)
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return 0.0;
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else
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return 1.0;
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else
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if (b == 0.0)
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return 1.0;
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else
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return 0.0;
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}
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double logic_and(double a, double b)
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{
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if (a == 0.0)
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return 0.0;
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else
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if (b == 0.0)
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return 0.0;
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else
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return 1.0;
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}
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double logic_or(double a, double b)
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{
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if (a == 0.0)
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if (b == 0.0)
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return 0.0;
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else
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return 1.1;
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else
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return 1.0;
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}
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double rand_seed;
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double func_rand(double max)
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{
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double q = (257.0 * rand_seed + 739.0); // ÷èñëà îò áàëäû. íàäî âñòàâèòü ïðàâèëüíûå.
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rand_seed = q - 65536.0 * func_floor(q / 65536.0); // äëÿ õîðîøåãî ðàñïðåäåëåíèÿ
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return q - max * func_floor(q / max); // äëÿ ìîäóëÿ
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}
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double func_case(double_list *p)
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{
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if (!p || !p->next)
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{
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serror(ERR_BADPARAM);
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return 0.0;
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}
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double x = p->val;
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int count = (int)p->next->val;
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int i, k;
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double_list *cur = p->next->next;
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k = count;
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for (i = 0; i < count; i++)
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{
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if (!cur)
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{
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serror(ERR_BADPARAM);
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return 0.0;
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}
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if (fabs(x - cur->val) < epsilon)
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{
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if (k != count + 1)
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{
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serror(ERR_GENERAL);
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return 0.0;
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}
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k = i;
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}
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cur = cur->next;
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}
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for (i = 0; i < k; i++)
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{
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if (!cur)
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{
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serror(ERR_BADPARAM);
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return 0.0;
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}
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cur = cur->next;
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}
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if (!cur) // ïðîâåðêè áèï. äîñòàëè áèï.
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{
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serror(ERR_BADPARAM);
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return 0.0;
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}
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if (cur->code)
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code = cur->code;
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return cur->val;
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}
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#define INF_ARGS -1
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#define STR_ARG -2
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// represents general mathematical function
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typedef double(*matfunc0)();
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typedef double(*matfunc)(double);
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typedef double(*matfunc2)(double,double);
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typedef double(*matfunc3)(double,double,double);
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typedef double(*matfunc_inf)(double_list*);
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typedef double(*matfunc_str)(char*);
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// used to link function name to the function
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typedef struct
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{
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char name[10];
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int args;
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void * f;
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} func;
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// the list of functions
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const int max_func = 29;
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func functions[max_func] =
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{
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"", 1, NULL, // íå ïîìíþ, ñ êàêîé öåëüþ
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"sin", 1, &sin,
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"cos", 1, &cos,
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"exp", 1, &exp,
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"sqrt", 1, &sqrt,
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"log", 1, &log,
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"tg", 1, &tg,
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"ctg", 1, &ctg,
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"arcsin", 1, &asin,
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"arccos", 1, &acos,
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"arctg", 1, &atan, // íå ðåàëèçîâàíî. âîçâðàùàåò îøèáêó ERR_GENERAL
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"abs", 1, &fabs,
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"pow", 2, &pow,
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"if", INF_ARGS, &func_if,
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"sum",INF_ARGS,&sum,
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"isnull",STR_ARG,&func_isnull, // ñëåãêà ÷/æ
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"min",INF_ARGS,&func_min,
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"max",INF_ARGS,&func_max,
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"avg",INF_ARGS,&avg,
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"ceil",1,&func_ceil,
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"round",1,&func_round,
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"floor",1,&func_floor,
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"and",2,&logic_and,
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"or",2,&logic_or,
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"xor",2,&logic_xor,
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"rand",1,&func_rand,
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"case",INF_ARGS,&func_case,
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"pi",0,&func_pi,
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"eps",0,&func_eps
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};
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// all delimiters
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#define MAXDELIM 17
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const char delim[MAXDELIM]="+-*^/%=;(),><#! "; // not bad words
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int isdelim(char c)
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{
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//return strchr(delim, c) != 0;
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for (int i = 0; i < MAXDELIM; i++)
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if (c == delim[i])
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return 1;
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return 0;
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}
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int isdigit(char c)
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{
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return (c >= '0' && c <= '9');
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}
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int isalpha2(char c)
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{
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return ((c >= 'a' && c <= 'z')
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|| (c >= 'A' && c <= 'Z') || (c=='$'));
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}
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int iswhite(char c)
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{
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return (c==' ' || c=='\t');
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}
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void serror(int acode)
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{
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if (acode != 0)
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code = acode;
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}
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void set_exp(char *exp)
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{
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prog = exp;
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}
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int get_token()
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{
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int tok;
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char *temp;
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(token_type) = 0;
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tok = 0;
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temp = (token);
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if (*(prog) == '\0')
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{
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*(token) = 0;
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tok = FINISHED;
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return ((token_type) = DELIMITER);
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}
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while (iswhite(*(prog))) ++(prog);
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if (isdelim(*(prog)))
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{
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char t=*temp = *(prog);
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(prog)++;
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temp++;
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if ((t == '>' || t == '<' || t == '!') && (*prog) && (*prog == '='))
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{
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*temp = *(prog);
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(prog)++;
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temp++;
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}
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*temp = 0;
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return ((token_type) = DELIMITER);
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}
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if (isdigit(*(prog)))
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{
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while (!isdelim(*(prog)))
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*temp++=*(prog)++;
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*temp = '\0';
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return ((token_type) = NUMBER);
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}
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if (isalpha2(*(prog)))
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{
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while (!isdelim(*(prog)))
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*temp++=*(prog)++;
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(token_type) = VARIABLE;
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}
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*temp = '\0';
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if ((token_type) == VARIABLE)
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{
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tok = look_up((token));
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if (tok)
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(token_type) = FUNCTION;
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}
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return (token_type);
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}
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double sign(double d)
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{
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if (d > 0.0)
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return 1.0;
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if (d < 0.0)
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return -1.0;
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return 0.0;
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}
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void putback()
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{
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char *t;
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t = (token);
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for (;*t;t++)
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(prog)--;
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}
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int get_exp(double *hold)
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{
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code = 0;
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get_token();
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if (!*(token))
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{
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return 0;
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}
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level1( hold);
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putback();
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return code==0;
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}
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void level1(double *hold)
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{
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char op[2];
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double h;
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level1_5( hold);
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while (op[0] = *token, op[1] = (*(token+1)) ? *(token + 1) : 0,
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*op == '<' || *op == '>' || *op == '=' || *op == '#' || *op == '!')
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{
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get_token();
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level1_5( &h);
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logic(op, hold, &h);
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}
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}
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void level1_5(double *hold)
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{
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char op;
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op = 0;
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if (((token_type) == DELIMITER) && *(token) == '!')
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{
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op = *(token);
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get_token();
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}
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level2( hold);
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if (op)
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{
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if (*hold == 0.0)
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*hold = 1.0;
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else
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*hold = 0.0;
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}
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}
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void level2(double *hold)
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{
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char op;
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double h;
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level3( hold);
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while ((op=*(token)) == '+' || op == '-')
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{
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get_token();
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level3( &h);
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arith(op, hold, &h);
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}
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}
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void level3(double *hold)
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{
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char op;
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double h;
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level4( hold);
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while ((op=*(token)) == '*' || op == '/' || op == '%')
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{
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get_token();
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level4( &h);
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arith( op, hold, &h);
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}
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}
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void level4(double *hold)
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{
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double h;
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level5( hold);
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if (*(token) == '^')
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{
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get_token();
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level5( &h);
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arith( '^', hold, &h);
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}
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}
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void level5(double *hold)
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{
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char op;
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op = 0;
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if (((token_type) == DELIMITER) && *(token) == '+' || *(token) == '-')
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{
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op = *(token);
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get_token();
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}
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level6( hold);
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if (op)
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unary(op, hold);
|
|
}
|
|
|
|
void level6(double *hold)
|
|
{
|
|
if ((*(token) == '(') && ((token_type) == DELIMITER))
|
|
{
|
|
get_token();
|
|
level1( hold);
|
|
if (*(token) != ')')
|
|
serror( ERR_NOBRACKET);
|
|
get_token();
|
|
}
|
|
else
|
|
primitive( hold);
|
|
}
|
|
|
|
void calc_function(double *hold)
|
|
{
|
|
double_list *args = NULL, *last = NULL, *t;
|
|
double d;
|
|
int i,argc=0,save_code;
|
|
|
|
save_code = code;
|
|
code = 0;
|
|
i = look_up(token);
|
|
|
|
if (i == 0)
|
|
serror(ERR_BADFUNCTION); // error
|
|
|
|
get_token();
|
|
if (*(token) != '(')
|
|
serror(ERR_NOBRACKET); // error
|
|
//get_token();
|
|
if (functions[i].args == STR_ARG)
|
|
{
|
|
get_token();
|
|
d = ((matfunc_str)(functions[i].f))(token);
|
|
*hold = d;
|
|
get_token();
|
|
if (save_code)
|
|
code = save_code;
|
|
return;
|
|
}
|
|
|
|
//last = args = (double_list*)malloc(sizeof(double_list));
|
|
//args->next = NULL;
|
|
//level1(&args->val);
|
|
//get_token();
|
|
argc=0;
|
|
do
|
|
{
|
|
get_token();
|
|
if (*token == ')')
|
|
break;
|
|
t = (double_list*)allocmem(sizeof(double_list));
|
|
code = 0;
|
|
level1(&t->val);
|
|
t->code = code;
|
|
t->next = NULL;
|
|
if (last)
|
|
last->next = t;
|
|
else
|
|
args = t;
|
|
last = t;
|
|
argc++;
|
|
} while (*token == ',');
|
|
|
|
code = save_code;
|
|
|
|
if (argc != functions[i].args && functions[i].args >= 0)
|
|
{
|
|
serror(ERR_BADPARAM);
|
|
}
|
|
else
|
|
{
|
|
switch (functions[i].args)
|
|
{
|
|
case 0:
|
|
d = ((matfunc0)(functions[i].f))();
|
|
break;
|
|
case 1:
|
|
d = ((matfunc)(functions[i].f))(args->val);
|
|
break;
|
|
case 2:
|
|
d = ((matfunc2)(functions[i].f))(args->val,args->next->val);
|
|
break;
|
|
case 3:
|
|
d = ((matfunc3)(functions[i].f))(args->val,args->next->val,args->next->next->val);
|
|
break;
|
|
case INF_ARGS:
|
|
d = ((matfunc_inf)(functions[i].f))(args);
|
|
break;
|
|
}
|
|
}
|
|
|
|
t = args;
|
|
while (t)
|
|
{
|
|
args = t->next;
|
|
freemem(t);
|
|
t = args;
|
|
}
|
|
|
|
*hold = d;
|
|
// else
|
|
// serror( ERR_OVERFLOW);
|
|
|
|
}
|
|
|
|
void primitive(double *hold)
|
|
{
|
|
switch (token_type)
|
|
{
|
|
case VARIABLE:
|
|
*hold = find_var(token);
|
|
get_token();
|
|
return;
|
|
case NUMBER:
|
|
//
|
|
*hold = atof((token));
|
|
//if (sscanf(token, "%lf", hold) != 1)
|
|
*hold = convert(token);
|
|
if (convert_error == ERROR)
|
|
serror( ERR_BADNUMER);
|
|
get_token();
|
|
return;
|
|
case FUNCTION:
|
|
calc_function( hold);
|
|
if (*token != ')')
|
|
serror(ERR_NOBRACKET);
|
|
get_token();
|
|
return;
|
|
default: // error
|
|
return;
|
|
}
|
|
}
|
|
|
|
void arith(char op, double *r, double *h)
|
|
{
|
|
double t;
|
|
switch(op)
|
|
{
|
|
case '-':
|
|
*r = *r - *h;
|
|
break;
|
|
case '+':
|
|
*r = *r + *h;
|
|
break;
|
|
case '*':
|
|
*r = *r * *h;
|
|
break;
|
|
case '/':
|
|
if (fabs(*h) < epsilon)
|
|
serror( ERR_OVERFLOW);
|
|
else
|
|
*r = (*r) / (*h);
|
|
break;
|
|
case '%':
|
|
if (fabs(*h) < epsilon)
|
|
serror( ERR_OVERFLOW);
|
|
else
|
|
{
|
|
t = func_floor ((*r) / (*h));
|
|
*r = *r - (t * (*h));
|
|
}
|
|
break;
|
|
case '^':
|
|
*r = pow(*r, *h);
|
|
break;
|
|
}
|
|
}
|
|
|
|
void logic(char *op, double *r, double *h)
|
|
{
|
|
double t;
|
|
switch (*op)
|
|
{
|
|
case '<':
|
|
if (*(op+1) && *(op+1) == '=')
|
|
t = *r <= *h + epsilon ? 1.0 : 0.0;
|
|
else
|
|
t = *r < *h - epsilon? 1.0 : 0.0;
|
|
break;
|
|
case '>':
|
|
if (*(op+1) && *(op+1) == '=')
|
|
t = *r >= *h - epsilon ? 1.0 : 0.0;
|
|
else
|
|
t = *r > *h + epsilon ? 1.0 : 0.0;
|
|
break;
|
|
case '=':
|
|
t = fabs(*r - *h) <= epsilon ? 1.0 : 0.0;
|
|
break;
|
|
case '#':
|
|
t = fabs(*r - *h) > epsilon ? 1.0 : 0.0;
|
|
break;
|
|
case '!':
|
|
if (*(op+1) && *(op+1) == '=')
|
|
t = fabs(*r - *h) > epsilon ? 1.0 : 0.0;
|
|
else
|
|
serror(ERR_GENERAL);
|
|
break;
|
|
}
|
|
*r = t;
|
|
}
|
|
|
|
|
|
void unary(char op, double *r)
|
|
{
|
|
if (op == '-')
|
|
*r = -(*r);
|
|
}
|
|
|
|
bool strcmp(char *s1, char *s2)
|
|
{
|
|
int i;
|
|
|
|
if (s1 == NULL)
|
|
if (s2 == NULL)
|
|
return 0;
|
|
else
|
|
return 1;
|
|
else
|
|
if (s2 == NULL)
|
|
return 1;
|
|
|
|
for (i = 0;;i++)
|
|
{
|
|
if (s1[i] == '\0')
|
|
if (s2[i] == '\0')
|
|
return 0;
|
|
else
|
|
return 1;
|
|
else
|
|
if (s2[i] == '\0')
|
|
return 1;
|
|
else
|
|
{
|
|
if (s1[i] != s2[i])
|
|
return 1;
|
|
}
|
|
}
|
|
return 0;
|
|
}
|
|
|
|
|
|
bool strncmp(char *s1, char *s2, int n)
|
|
{
|
|
int i;
|
|
|
|
if (s1 == NULL)
|
|
if (s2 == NULL)
|
|
return 0;
|
|
else
|
|
return 1;
|
|
else
|
|
if (s2 == NULL)
|
|
return 1;
|
|
|
|
for (i = 0;i<n;i++)
|
|
{
|
|
if (s1[i] == '\0')
|
|
if (s2[i] == '\0')
|
|
return 0;
|
|
else
|
|
return 1;
|
|
else
|
|
if (s2[i] == '\0')
|
|
return 1;
|
|
else
|
|
{
|
|
if (s1[i] != s2[i])
|
|
return 1;
|
|
}
|
|
}
|
|
return 0;
|
|
}
|
|
|
|
int look_up(char *s)
|
|
{
|
|
int i;
|
|
|
|
for (i = 0; i < max_func; i++)
|
|
if (strcmp(s, functions[i].name) == 0)
|
|
return i;
|
|
return 0; // search command/function name
|
|
}
|
|
|