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[C&C++ 原创] <ver0.1>大数计算加减法的字符实现

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wangarc 发表于 2024-9-20 19:51
今天终于完工了大数加减法的最后部分:正负符号添加部分,感觉怎么写得那么啰嗦,但还没想到什么好办法。

这个加减法全部采用搬运字符的方法实现,用基本的C代码,不依赖任何库,gcc和g++都可以编译(测试部分除外)。

贴上全部函数的完整代码:

[C] 纯文本查看 复制代码
#include <stdio.h>

int dec_char_add(char in_carry, char c1, char c2, char * out_carry, char * result);
/*	dec_char_add() return 1 if no error, otherwise 0
 *
 *						c1			['0'-'9']					'6'
 *		+				c2			['0'-'9']			+		'8'	
 *		+				in_carry	['0'-'1']			+		'1'
 *	_________________________________________		________________
 *		=	out_carry	result							=	'1'	'5'
 *			['0'-'1']	['0'-'9']
 */

int dec_char_sub(char in_borrow, char c1, char c2, char * out_borrow, char * result);
/*	dec_char_sub() return 1 if no error, otherwise 0
 *
 *			['0'-'1']
 *			out_borrow	c1			['0'-'9']				'1'	'6'				'0'	'6'	
 *		-				c2			['0'-'9']			-		'8'			-		'2'	
 *		-				in_borrow	['0'-'1']			-		'1'			-		'1'	
 *	_________________________________________		________________	________________
 *		=				result							=		'7'			=		'3'		
 *						['0'-'9']
 */

int is_dec_str(char * str, int * p_or_n, int * i_qty, int * d_qty, int * dot_pos);
/*	is_dec_str() return 1 if Yes, otherwise 0
 *	Check str if a valid decimal number or not. Return 1 if Yes, or 0 if No.
 *	str: the string to be checked.
 *	p_or_n: indicate the number is positive (1) or negative (-1) (after check).
 *	i_qty: integeral part char qty (length)
 *	d_qty: decimal part char qty (length)
 *	dot_pos: return position of '.', (or '\0' if no '.'), of the str
 *	eg: if p_or_n = -1, i_qty = 5, d_qty = 2, dot_pos = 6 str may look like -nnnnn.nn
 */

int add_ip_dp(char * str1, int dot_pos1, int i_qty1, int d_qty1,
			  char * str2, int dot_pos2, int i_qty2, int d_qty2,
			  char * str3, int str3_array_size, int * offset);
/*  add_ip_dp() return 1 if no error, otherwise 0
 *  add integral part and decimal part (str3 = str1 + str2)
 *  dot_pos: index of str where '.' located for decimal number
 *							or '\0' located for integral number.
 *	i_qty: integral number quantity (integral part length)
 *	d_qty: decimal number quantity (decimal part length)
 *	str3: array to store result
 *	str3_array_size: array size
 *	offset: result will start from here (this function write result from tail to head)
 */

int sub_ip_dp(char * str1, int dot_pos1, int i_qty1, int d_qty1,
			  char * str2, int dot_pos2, int i_qty2, int d_qty2,
			  char * str3, int str3_array_size, int * offset);
/*  sub_ip_dp() return 1 if no error, -1 if sub error (str1 < str2), 0 if other errors.
 *  sub integral part and decimal part (str3 = str1 - str2)
 *  dot_pos: index of str where '.' located for decimal number
 *							or '\0' located for integral number.
 *	i_qty: integral number quantity (integral part length)
 *	d_qty: decimal number quantity (decimal part length)
 *	str3: array to store result
 *	str3_array_size: array size
 *	offset: result will start from here (this function write result from tail to head)
 */

int dec_str_add(char * str1, char * str2, char * str3, int str3_array_size, int * offset);
/*	dec_str_add() return 1 if no error, otherwise 0
 *  add decimal strings (str3 = str1 + str2)
 *	str3: array to store result
 *	str3_array_size: array size
 *	offset: result will start from here (this function write result from tail to head)
 *	better to have big size for str3, 
 *	at least +2 more than total length of str1 and str2 is suggested.
 */

int dec_str_sub(char * str1, char * str2, char * str3, int str3_array_size, int * offset);
/*	dec_str_sub() return 1 if no error, otherwise 0
 *  sub decimal strings (str3 = str1 - str2)
 *	str3: array to store result
 *	str3_array_size: array size
 *	offset: result will start from here (this function write result from tail to head)
 *	better to have big size for str3, 
 *	at least +2 more than total length of str1 and str2 is suggested.
 */

int main(void) //testing
{
	char * s1 = "0";
	char * s2 = "99999999999999999999";
	char * s3 = ".00000000000000000001";
	char * s4 = "1.00";
	char * s5 = "3.14159";
	char * s6 = "0003.14159000";
	char * s7 = "9999999999.9999999999";
	char str[128];
	int i, r;
	r = dec_str_add(s1, s2, str, 128, &i);
	printf("\nreturn %d, offset = %d,\n%s + %s = %s\n", r, i, s1, s2, str + i);
	r = dec_str_sub(s1, s2, str, 128, &i);
	printf("\nreturn %d, offset = %d,\n%s - %s = %s\n", r, i, s1, s2, str + i);
	r = dec_str_add(s2, s3, str, 128, &i);
	printf("\nreturn %d, offset = %d,\n%s + %s = %s\n", r, i, s2, s3, str + i);
	r = dec_str_sub(s2, s3, str, 128, &i);
	printf("\nreturn %d, offset = %d,\n%s - %s = %s\n", r, i, s2, s3, str + i);
	r = dec_str_add(s3, s4, str, 128, &i);
	printf("\nreturn %d, offset = %d,\n%s + %s = %s\n", r, i, s3, s4, str + i);
	r = dec_str_sub(s3, s4, str, 128, &i);
	printf("\nreturn %d, offset = %d,\n%s - %s = %s\n", r, i, s3, s4, str + i);
	r = dec_str_add(s4, s5, str, 128, &i);
	printf("\nreturn %d, offset = %d,\n%s + %s = %s\n", r, i, s4, s5, str + i);
	r = dec_str_sub(s4, s5, str, 128, &i);
	printf("\nreturn %d, offset = %d,\n%s - %s = %s\n", r, i, s4, s5, str + i);
	r = dec_str_add(s5, s6, str, 128, &i);
	printf("\nreturn %d, offset = %d,\n%s + %s = %s\n", r, i, s5, s6, str + i);
	r = dec_str_sub(s5, s6, str, 128, &i);
	printf("\nreturn %d, offset = %d,\n%s - %s = %s\n", r, i, s5, s6, str + i);
	r = dec_str_add(s6, s7, str, 128, &i);
	printf("\nreturn %d, offset = %d,\n%s + %s = %s\n", r, i, s6, s7, str + i);
	r = dec_str_sub(s6, s7, str, 128, &i);
	printf("\nreturn %d, offset = %d,\n%s - %s = %s\n", r, i, s6, s7, str + i);

	return 0;
}

int dec_str_sub(char * str1, char * str2, char * str3, int str3_array_size, int * offset)
{
	int pn1, pn2; //indicate positive or negative for str1 and str2.
	int iq1, iq2; //store integral part quantity for str1 and str2.
	int dq1, dq2; //store decimal part quantity for str1 and str2.
	int dp1, dp2; //store '.' position for str1 and str2.
	int rt1, rt2, rt3; //temp return value;
	rt1 = is_dec_str(str1, &pn1, &iq1, &dq1, &dp1);
	if (rt1 == 0)
		return 0; //Error: str1 is not a number.
	rt2 = is_dec_str(str2, &pn2, &iq2, &dq2, &dp2);
	if (rt2 == 0)
		return 0; //Error: str2 is not a number.
	if (pn1 == 1 && pn2 == -1)			//str1 is positive, str2 is negative
	{
		rt3 = add_ip_dp(str1, dp1, iq1, dq1, str2, dp2, iq2, dq2, 
						str3, str3_array_size, offset);
		if (rt3 == 0)
			return 0; //Error: failed, maybe, not enough space in str3
	}
	else if (pn1 == 1 && pn2 == 1)		//str1 is positive, str2 is positive
	{
		rt3 = sub_ip_dp(str1, dp1, iq1, dq1, str2, dp2, iq2, dq2, 
						str3, str3_array_size, offset);
		if (rt3 == 0)
			return 0; //Error: failed, maybe, not enough space in str3
		if (rt3 == -1)
		{	//switch str1 and str2, try again.
			rt3 = sub_ip_dp(str2, dp2, iq2, dq2, str1, dp1, iq1, dq1, 
							str3, str3_array_size, offset);
			if (rt3 == 0)
				return 0; //Error: failed again finally.
			if (--(*offset) >= 0)
				str3[*offset] = '-'; //put on a '-' for str3
			else
				return 0; //Error: not enough space in str3
		}
	}
	else if (pn1 == -1 && pn2 == -1)		//str1 is negative, str2 is negative
	{
		rt3 = sub_ip_dp(str2, dp2, iq2, dq2, str1, dp1, iq1, dq1, 
						str3, str3_array_size, offset);
		if (rt3 == 0)
			return 0; //Error: failed, maybe, not enough space in str3
		if (rt3 == -1)
		{	//switch str1 and str2, try again.
			rt3 = sub_ip_dp(str1, dp1, iq1, dq1, str2, dp2, iq2, dq2, 
							str3, str3_array_size, offset);
			if (rt3 == 0)
				return 0; //Error: failed again finally.
			if (--(*offset) >= 0)
				str3[*offset] = '-'; //put on a '-' for str3
			else
				return 0; //Error: not enough space in str3
		}
	}
	else if (pn1 == -1 && pn2 == 1)	//str1 is negative, str2 is positive
	{
		rt3 = add_ip_dp(str1, dp1, iq1, dq1, str2, dp2, iq2, dq2, 
						str3, str3_array_size, offset);
		if (rt3 == 0)
			return 0; //Error: failed, maybe, not enough space in str3
		if (str3[*offset] == '0' && str3[*offset+1]	== '\0')
			;		//do nothing, it's 0, don't put on '-', happened while (-0) - (0)
		else
		{
			if (--(*offset) >= 0)
				str3[*offset] = '-'; //put on a '-' for str3
			else
				return 0; //Error: not enough space in str3
		}
	}
	else
		return 0; //Error: something wrong, not possible.
	return 1; //Done.
}

int dec_str_add(char * str1, char * str2, char * str3, int str3_array_size, int * offset)
{
	int pn1, pn2; //indicate positive or negative for str1 and str2.
	int iq1, iq2; //store integral part quantity for str1 and str2.
	int dq1, dq2; //store decimal part quantity for str1 and str2.
	int dp1, dp2; //store '.' position for str1 and str2.
	int rt1, rt2, rt3; //temp return value;
	rt1 = is_dec_str(str1, &pn1, &iq1, &dq1, &dp1);
	if (rt1 == 0)
		return 0; //Error: str1 is not a number.
	rt2 = is_dec_str(str2, &pn2, &iq2, &dq2, &dp2);
	if (rt2 == 0)
		return 0; //Error: str2 is not a number.
	if (pn1 == 1 && pn2 == 1)			//str1 is positive, str2 is positive
	{
		rt3 = add_ip_dp(str1, dp1, iq1, dq1, str2, dp2, iq2, dq2, 
						str3, str3_array_size, offset);
		if (rt3 == 0)
			return 0; //Error: failed, maybe, not enough space in str3
	}
	else if (pn1 == 1 && pn2 == -1)		//str1 is positive, str2 is negative
	{
		rt3 = sub_ip_dp(str1, dp1, iq1, dq1, str2, dp2, iq2, dq2, 
						str3, str3_array_size, offset);
		if (rt3 == 0)
			return 0; //Error: failed, maybe, not enough space in str3
		if (rt3 == -1)
		{	//switch str1 and str2, try again.
			rt3 = sub_ip_dp(str2, dp2, iq2, dq2, str1, dp1, iq1, dq1, 
							str3, str3_array_size, offset);
			if (rt3 == 0)
				return 0; //Error: failed again finally.
			if (--(*offset) >= 0)
				str3[*offset] = '-'; //put on a '-' for str3
			else
				return 0; //Error: not enough space in str3
		}
	}
	else if (pn1 == -1 && pn2 == 1)		//str1 is negative, str2 is positive
	{
		rt3 = sub_ip_dp(str2, dp2, iq2, dq2, str1, dp1, iq1, dq1, 
						str3, str3_array_size, offset);
		if (rt3 == 0)
			return 0; //Error: failed, maybe, not enough space in str3
		if (rt3 == -1)
		{	//switch str1 and str2, try again.
			rt3 = sub_ip_dp(str1, dp1, iq1, dq1, str2, dp2, iq2, dq2, 
							str3, str3_array_size, offset);
			if (rt3 == 0)
				return 0; //Error: failed again finally.
			if (--(*offset) >= 0)
				str3[*offset] = '-'; //put on a '-' for str3
			else
				return 0; //Error: not enough space in str3
		}
	}
	else if (pn1 == -1 && pn2 == -1)	//str1 is negative, str2 is negative
	{
		rt3 = add_ip_dp(str1, dp1, iq1, dq1, str2, dp2, iq2, dq2, 
						str3, str3_array_size, offset);
		if (rt3 == 0)
			return 0; //Error: failed, maybe, not enough space in str3
		if (str3[*offset] == '0' && str3[*offset+1]	== '\0')
			;	//do nothing, it's 0, don't put on '-', happened while (-0) + (-0)
		else
		{
			if (--(*offset) >= 0)
				str3[*offset] = '-'; //put on a '-' for str3
			else
				return 0; //Error: not enough space in str3
		}
	}
	else
		return 0; //Error: something wrong, not possible.
	return 1; //Done.
}

int sub_ip_dp(char * str1, int dot_pos1, int i_qty1, int d_qty1,
			  char * str2, int dot_pos2, int i_qty2, int d_qty2,
			  char * str3, int str3_array_size, int * offset)
{
	//return 1 if no error, -1 if sub error (str1 < str2), 0 if other errors.
	char * p1 = str1 + dot_pos1;	// p1 is a pointer to '.' or '\0' of str1
	char * p2 = str2 + dot_pos2;	// p2 is a pointer to '.' or '\0' of str2
	int i = str3_array_size;		// i is an index of str3, copy to *offset finally
	char borrow = '0';				// borrow is a borrow
	char c1, c2, c3;				// c1, c2 and c3 are temp chars
	int k, j;						// k and j are temp index
	
	// set '\0' at the end of str3
	if (--i >= 0)
		str3[i] = '\0';
	else
		return 0;	//Error: insufficient space in str3

	// sub decimal part: from tail to head
	k = (d_qty1 > d_qty2) ? d_qty1 : d_qty2;
	while (k > 0)
	{
		c1 = (k > d_qty1) ? '0' : p1[k];
		c2 = (k > d_qty2) ? '0' : p2[k];
		if (0 == dec_char_sub(borrow, c1, c2, &borrow, &c3))
			return 0;		//Error: return error from dec_char_add()
		
		if (--i >= 0)
			str3[i] = c3;
		else
			return 0;		//Error: insufficient space in str3
		
		if (str3[i+1] == '\0' && str3[i] == '0')
			i++;			//ignore '0' in the end of decimal
		
		--k;
	}
	
	// put a '.' in the string
	if (str3[i] != '\0')
	{
		if (--i >= 0)
			str3[i] = '.';
		else
			return 0;		//Error: insufficient space in str3
	}

	// sub integral part: from tail to head
	k = 1;
	j = (i_qty1 > i_qty2) ? i_qty1 : i_qty2;
	while (k <= j)
	{
		c1 = (k > i_qty1) ? '0' : p1[-k];
		c2 = (k > i_qty2) ? '0' : p2[-k];
		if (0 == dec_char_sub(borrow, c1, c2, &borrow, &c3))
			return 0;		//Error: return error from dec_char_add()
		
		if (--i >= 0)
			str3[i] = c3;
		else
			return 0;		//Error: insufficient space in str3
		
		++k;
	}

	// consider borrow after last dec_char_sub()
	if (borrow == '1')
		return -1;		//Error: str1 is smaller than str2, it's not allowed
						//you should switch str1 and str2
						//try again: - (str2 - str1)

	// ignore all begining '0' in the string
	while (str3[i] == '0')
		++i;

	// add a '0' if start with a '.'
	if (str3[i] == '.')
	{
		if (--i >= 0)
			str3[i] = '0';
		else
			return 0;		//Error: insufficient space in str3
	}

	// add a '0' if empty string
	if (str3[i] == '\0')
	{
		if (--i >= 0)
			str3[i] = '0';
		else
			return 0;		//Error: insufficient space in str3
	}

	// set *offset for str3
	*offset = i;
	return 1;	//Done
}

int add_ip_dp(char * str1, int dot_pos1, int i_qty1, int d_qty1,
			  char * str2, int dot_pos2, int i_qty2, int d_qty2,
			  char * str3, int str3_array_size, int * offset)
{
	//return 1 = no error, 0 = fail.
	char * p1 = str1 + dot_pos1;	// p1 is a pointer to '.' or '\0' of str1
	char * p2 = str2 + dot_pos2;	// p2 is a pointer to '.' or '\0' of str2
	int i = str3_array_size;		// i is an index of str3, copy to *offset finally
	char carry = '0';				// carry is a carry
	char c1, c2, c3;				// c1, c2 and c3 are temp chars
	int k, j;						// k and j are temp index
	
	// set '\0' at the end of str3
	if (--i >= 0)
		str3[i] = '\0';
	else
		return 0;	//Error: insufficient space in str3

	// add decimal part: from tail to head
	k = (d_qty1 > d_qty2) ? d_qty1 : d_qty2;
	while (k > 0)
	{
		c1 = (k > d_qty1) ? '0' : p1[k];
		c2 = (k > d_qty2) ? '0' : p2[k];
		if (0 == dec_char_add(carry, c1, c2, &carry, &c3))
			return 0;		//Error: return error from dec_char_add()
		
		if (--i >= 0)
			str3[i] = c3;
		else
			return 0;		//Error: insufficient space in str3
		
		if (str3[i+1] == '\0' && str3[i] == '0')
			i++;			//ignore '0' in the end of decimal
		
		--k;
	}
	
	// put a '.' in the string
	if (str3[i] != '\0')
	{
		if (--i >= 0)
			str3[i] = '.';
		else
			return 0;		//Error: insufficient space in str3
	}

	// add integral part: from tail to head
	k = 1;
	j = (i_qty1 > i_qty2) ? i_qty1 : i_qty2;
	while (k <= j)
	{
		c1 = (k > i_qty1) ? '0' : p1[-k];
		c2 = (k > i_qty2) ? '0' : p2[-k];
		if (0 == dec_char_add(carry, c1, c2, &carry, &c3))
			return 0;		//Error: return error from dec_char_add()
		
		if (--i >= 0)
			str3[i] = c3;
		else
			return 0;		//Error: insufficient space in str3
		
		++k;
	}

	// consider carry after last dec_char_add()
	if (carry == '1')
	{
		if (--i >= 0)
			str3[i] = '1';
		else
			return 0;		//Error: insufficient space in str3
	}

	// ignore all begining '0' in the string
	while (str3[i] == '0')
		++i;

	// add a '0' if start with a '.'
	if (str3[i] == '.')
	{
		if (--i >= 0)
			str3[i] = '0';
		else
			return 0;		//Error: insufficient space in str3
	}

	// add a '0' if empty string
	if (str3[i] == '\0')
	{
		if (--i >= 0)
			str3[i] = '0';
		else
			return 0;		//Error: insufficient space in str3
	}

	// set *offset for str3
	*offset = i;
	return 1;	//Done
}

int is_dec_str(char * str, int * p_or_n, int * i_qty, int * d_qty, int * dot_pos)
{
	int ret_val = 1; //return value, 1 = Yes, 0 = No.
	int dot_qty = 0; //'.' qty found in the str
	int i = 0;		 //i is an index of str.
	switch (str[i])
	{
		case '-': *p_or_n = -1; i++; break;	//negative number and bypass the '-'
		case '+': i++;						//bypass the '+'
		default: *p_or_n = 1;				//positive number
	}
	*i_qty = 0;
	*d_qty = 0;
	*dot_pos = -1;	//initialized as a not possible value.
	while (str[i] != '\0' && ret_val)
	{
		switch (str[i])
		{
			case '0': 
			case '1':
			case '2': 
			case '3': 
			case '4': 
			case '5': 
			case '6':
			case '7':
			case '8':
			case '9':	dot_qty ? ++(*d_qty) : ++(*i_qty);
						break;
			case '.':	if (++dot_qty > 1)
							ret_val = 0;	//Error: too many '.'
						*dot_pos = i;
						break;
			default: ret_val = 0;	//Error: unexpected char found
		}
		i++;
	}
	if (*i_qty == 0 && *d_qty == 0)	
		ret_val = 0;		//Error: no valid number found
	if (*dot_pos == -1)		//there is no '.' in the str, str is an integer
		*dot_pos = i;		//dot_pos set at '\0'(str end) for "no dot" integer
	if (ret_val != 1)
	{
		*p_or_n = 0;
		*i_qty = 0;
		*d_qty = 0;
		*dot_pos = 0;
	}
	return ret_val;
}

int dec_char_sub(char in_borrow, char c1, char c2, char * out_borrow, char * result)
{
	int ret_val = 1; //return value, 1 = no error, otherwise 0
	switch (c1)		//go through "switch case" to get answer without calculate.
	{
		case '0':	switch (c2)
					{
						case '0': *out_borrow = '0'; *result = '0'; break;
						case '1': *out_borrow = '1'; *result = '9'; break;
						case '2': *out_borrow = '1'; *result = '8'; break;
						case '3': *out_borrow = '1'; *result = '7'; break;
						case '4': *out_borrow = '1'; *result = '6'; break;
						case '5': *out_borrow = '1'; *result = '5'; break;
						case '6': *out_borrow = '1'; *result = '4'; break;
						case '7': *out_borrow = '1'; *result = '3'; break;
						case '8': *out_borrow = '1'; *result = '2'; break;
						case '9': *out_borrow = '1'; *result = '1'; break;
						default: ret_val = 0; //Error: c2 out of range
					}
					break;
		case '1':	switch (c2)
					{
						case '0': *out_borrow = '0'; *result = '1'; break;
						case '1': *out_borrow = '0'; *result = '0'; break;
						case '2': *out_borrow = '1'; *result = '9'; break;
						case '3': *out_borrow = '1'; *result = '8'; break;
						case '4': *out_borrow = '1'; *result = '7'; break;
						case '5': *out_borrow = '1'; *result = '6'; break;
						case '6': *out_borrow = '1'; *result = '5'; break;
						case '7': *out_borrow = '1'; *result = '4'; break;
						case '8': *out_borrow = '1'; *result = '3'; break;
						case '9': *out_borrow = '1'; *result = '2'; break;
						default: ret_val = 0; //Error: c2 out of range
					}
					break;
		case '2':	switch (c2)
					{
						case '0': *out_borrow = '0'; *result = '2'; break;
						case '1': *out_borrow = '0'; *result = '1'; break;
						case '2': *out_borrow = '0'; *result = '0'; break;
						case '3': *out_borrow = '1'; *result = '9'; break;
						case '4': *out_borrow = '1'; *result = '8'; break;
						case '5': *out_borrow = '1'; *result = '7'; break;
						case '6': *out_borrow = '1'; *result = '6'; break;
						case '7': *out_borrow = '1'; *result = '5'; break;
						case '8': *out_borrow = '1'; *result = '4'; break;
						case '9': *out_borrow = '1'; *result = '3'; break;
						default: ret_val = 0; //Error: c2 out of range
					}
					break;
		case '3':	switch (c2)
					{
						case '0': *out_borrow = '0'; *result = '3'; break;
						case '1': *out_borrow = '0'; *result = '2'; break;
						case '2': *out_borrow = '0'; *result = '1'; break;
						case '3': *out_borrow = '0'; *result = '0'; break;
						case '4': *out_borrow = '1'; *result = '9'; break;
						case '5': *out_borrow = '1'; *result = '8'; break;
						case '6': *out_borrow = '1'; *result = '7'; break;
						case '7': *out_borrow = '1'; *result = '6'; break;
						case '8': *out_borrow = '1'; *result = '5'; break;
						case '9': *out_borrow = '1'; *result = '4'; break;
						default: ret_val = 0; //Error: c2 out of range
					}
					break;
		case '4':	switch (c2)
					{
						case '0': *out_borrow = '0'; *result = '4'; break;
						case '1': *out_borrow = '0'; *result = '3'; break;
						case '2': *out_borrow = '0'; *result = '2'; break;
						case '3': *out_borrow = '0'; *result = '1'; break;
						case '4': *out_borrow = '0'; *result = '0'; break;
						case '5': *out_borrow = '1'; *result = '9'; break;
						case '6': *out_borrow = '1'; *result = '8'; break;
						case '7': *out_borrow = '1'; *result = '7'; break;
						case '8': *out_borrow = '1'; *result = '6'; break;
						case '9': *out_borrow = '1'; *result = '5'; break;
						default: ret_val = 0; //Error: c2 out of range
					}
					break;
		case '5':	switch (c2)
					{
						case '0': *out_borrow = '0'; *result = '5'; break;
						case '1': *out_borrow = '0'; *result = '4'; break;
						case '2': *out_borrow = '0'; *result = '3'; break;
						case '3': *out_borrow = '0'; *result = '2'; break;
						case '4': *out_borrow = '0'; *result = '1'; break;
						case '5': *out_borrow = '0'; *result = '0'; break;
						case '6': *out_borrow = '1'; *result = '9'; break;
						case '7': *out_borrow = '1'; *result = '8'; break;
						case '8': *out_borrow = '1'; *result = '7'; break;
						case '9': *out_borrow = '1'; *result = '6'; break;
						default: ret_val = 0; //Error: c2 out of range
					}
					break;
		case '6':	switch (c2)
					{
						case '0': *out_borrow = '0'; *result = '6'; break;
						case '1': *out_borrow = '0'; *result = '5'; break;
						case '2': *out_borrow = '0'; *result = '4'; break;
						case '3': *out_borrow = '0'; *result = '3'; break;
						case '4': *out_borrow = '0'; *result = '2'; break;
						case '5': *out_borrow = '0'; *result = '1'; break;
						case '6': *out_borrow = '0'; *result = '0'; break;
						case '7': *out_borrow = '1'; *result = '9'; break;
						case '8': *out_borrow = '1'; *result = '8'; break;
						case '9': *out_borrow = '1'; *result = '7'; break;
						default: ret_val = 0; //Error: c2 out of range
					}
					break;
		case '7':	switch (c2)
					{
						case '0': *out_borrow = '0'; *result = '7'; break;
						case '1': *out_borrow = '0'; *result = '6'; break;
						case '2': *out_borrow = '0'; *result = '5'; break;
						case '3': *out_borrow = '0'; *result = '4'; break;
						case '4': *out_borrow = '0'; *result = '3'; break;
						case '5': *out_borrow = '0'; *result = '2'; break;
						case '6': *out_borrow = '0'; *result = '1'; break;
						case '7': *out_borrow = '0'; *result = '0'; break;
						case '8': *out_borrow = '1'; *result = '9'; break;
						case '9': *out_borrow = '1'; *result = '8'; break;
						default: ret_val = 0; //Error: c2 out of range
					}
					break;
		case '8':	switch (c2)
					{
						case '0': *out_borrow = '0'; *result = '8'; break;
						case '1': *out_borrow = '0'; *result = '7'; break;
						case '2': *out_borrow = '0'; *result = '6'; break;
						case '3': *out_borrow = '0'; *result = '5'; break;
						case '4': *out_borrow = '0'; *result = '4'; break;
						case '5': *out_borrow = '0'; *result = '3'; break;
						case '6': *out_borrow = '0'; *result = '2'; break;
						case '7': *out_borrow = '0'; *result = '1'; break;
						case '8': *out_borrow = '0'; *result = '0'; break;
						case '9': *out_borrow = '1'; *result = '9'; break;
						default: ret_val = 0; //Error: c2 out of range
					}
					break;
		case '9':	switch (c2)
					{
						case '0': *out_borrow = '0'; *result = '9'; break;
						case '1': *out_borrow = '0'; *result = '8'; break;
						case '2': *out_borrow = '0'; *result = '7'; break;
						case '3': *out_borrow = '0'; *result = '6'; break;
						case '4': *out_borrow = '0'; *result = '5'; break;
						case '5': *out_borrow = '0'; *result = '4'; break;
						case '6': *out_borrow = '0'; *result = '3'; break;
						case '7': *out_borrow = '0'; *result = '2'; break;
						case '8': *out_borrow = '0'; *result = '1'; break;
						case '9': *out_borrow = '0'; *result = '0'; break;
						default: ret_val = 0; //Error: c2 out of range
					}
					break;
		default:	ret_val = 1; //Error: c1 out of range
	}
	switch (in_borrow)	//go through "switch case" to get answer without calculate.
	{
		case '0':	break;
		case '1':	switch (*result)
					{
						case '0': *out_borrow = '1'; *result = '9'; break;
						case '1': *result = '0'; break;
						case '2': *result = '1'; break;
						case '3': *result = '2'; break;
						case '4': *result = '3'; break;
						case '5': *result = '4'; break;
						case '6': *result = '5'; break;
						case '7': *result = '6'; break;
						case '8': *result = '7'; break;
						case '9': *result = '8'; break;
					}
					break;
		default:	ret_val = 0; //Error: in_carry out of range
	}
	if (ret_val != 1)
	{
		*out_borrow = '0';
		*result = '0';
	}
	return ret_val;
}

int dec_char_add(char in_carry, char c1, char c2, char * out_carry, char * result)
{
	int ret_val = 1; //return value, 1 = no error, otherwise 0
	switch (c1)		//go through "switch case" to get answer without calculate.
	{
		case '0':	switch (c2)
					{
						case '0': *out_carry = '0'; *result = '0'; break;
						case '1': *out_carry = '0'; *result = '1'; break;
						case '2': *out_carry = '0'; *result = '2'; break;
						case '3': *out_carry = '0'; *result = '3'; break;
						case '4': *out_carry = '0'; *result = '4'; break;
						case '5': *out_carry = '0'; *result = '5'; break;
						case '6': *out_carry = '0'; *result = '6'; break;
						case '7': *out_carry = '0'; *result = '7'; break;
						case '8': *out_carry = '0'; *result = '8'; break;
						case '9': *out_carry = '0'; *result = '9'; break;
						default: ret_val = 0; //Error: c2 out of range
					}
					break;
		case '1':	switch (c2)
					{
						case '0': *out_carry = '0'; *result = '1'; break;
						case '1': *out_carry = '0'; *result = '2'; break;
						case '2': *out_carry = '0'; *result = '3'; break;
						case '3': *out_carry = '0'; *result = '4'; break;
						case '4': *out_carry = '0'; *result = '5'; break;
						case '5': *out_carry = '0'; *result = '6'; break;
						case '6': *out_carry = '0'; *result = '7'; break;
						case '7': *out_carry = '0'; *result = '8'; break;
						case '8': *out_carry = '0'; *result = '9'; break;
						case '9': *out_carry = '1'; *result = '0'; break;
						default: ret_val = 0; //Error: c2 out of range
					}
					break;
		case '2':	switch (c2)
					{
						case '0': *out_carry = '0'; *result = '2'; break;
						case '1': *out_carry = '0'; *result = '3'; break;
						case '2': *out_carry = '0'; *result = '4'; break;
						case '3': *out_carry = '0'; *result = '5'; break;
						case '4': *out_carry = '0'; *result = '6'; break;
						case '5': *out_carry = '0'; *result = '7'; break;
						case '6': *out_carry = '0'; *result = '8'; break;
						case '7': *out_carry = '0'; *result = '9'; break;
						case '8': *out_carry = '1'; *result = '0'; break;
						case '9': *out_carry = '1'; *result = '1'; break;
						default: ret_val = 0; //Error: c2 out of range
					}
					break;
		case '3':	switch (c2)
					{
						case '0': *out_carry = '0'; *result = '3'; break;
						case '1': *out_carry = '0'; *result = '4'; break;
						case '2': *out_carry = '0'; *result = '5'; break;
						case '3': *out_carry = '0'; *result = '6'; break;
						case '4': *out_carry = '0'; *result = '7'; break;
						case '5': *out_carry = '0'; *result = '8'; break;
						case '6': *out_carry = '0'; *result = '9'; break;
						case '7': *out_carry = '1'; *result = '0'; break;
						case '8': *out_carry = '1'; *result = '1'; break;
						case '9': *out_carry = '1'; *result = '2'; break;
						default: ret_val = 0; //Error: c2 out of range
					}
					break;
		case '4':	switch (c2)
					{
						case '0': *out_carry = '0'; *result = '4'; break;
						case '1': *out_carry = '0'; *result = '5'; break;
						case '2': *out_carry = '0'; *result = '6'; break;
						case '3': *out_carry = '0'; *result = '7'; break;
						case '4': *out_carry = '0'; *result = '8'; break;
						case '5': *out_carry = '0'; *result = '9'; break;
						case '6': *out_carry = '1'; *result = '0'; break;
						case '7': *out_carry = '1'; *result = '1'; break;
						case '8': *out_carry = '1'; *result = '2'; break;
						case '9': *out_carry = '1'; *result = '3'; break;
						default: ret_val = 0; //Error: c2 out of range
					}
					break;
		case '5':	switch (c2)
					{
						case '0': *out_carry = '0'; *result = '5'; break;
						case '1': *out_carry = '0'; *result = '6'; break;
						case '2': *out_carry = '0'; *result = '7'; break;
						case '3': *out_carry = '0'; *result = '8'; break;
						case '4': *out_carry = '0'; *result = '9'; break;
						case '5': *out_carry = '1'; *result = '0'; break;
						case '6': *out_carry = '1'; *result = '1'; break;
						case '7': *out_carry = '1'; *result = '2'; break;
						case '8': *out_carry = '1'; *result = '3'; break;
						case '9': *out_carry = '1'; *result = '4'; break;
						default: ret_val = 0; //Error: c2 out of range
					}
					break;
		case '6':	switch (c2)
					{
						case '0': *out_carry = '0'; *result = '6'; break;
						case '1': *out_carry = '0'; *result = '7'; break;
						case '2': *out_carry = '0'; *result = '8'; break;
						case '3': *out_carry = '0'; *result = '9'; break;
						case '4': *out_carry = '1'; *result = '0'; break;
						case '5': *out_carry = '1'; *result = '1'; break;
						case '6': *out_carry = '1'; *result = '2'; break;
						case '7': *out_carry = '1'; *result = '3'; break;
						case '8': *out_carry = '1'; *result = '4'; break;
						case '9': *out_carry = '1'; *result = '5'; break;
						default: ret_val = 0; //Error: c2 out of range
					}
					break;
		case '7':	switch (c2)
					{
						case '0': *out_carry = '0'; *result = '7'; break;
						case '1': *out_carry = '0'; *result = '8'; break;
						case '2': *out_carry = '0'; *result = '9'; break;
						case '3': *out_carry = '1'; *result = '0'; break;
						case '4': *out_carry = '1'; *result = '1'; break;
						case '5': *out_carry = '1'; *result = '2'; break;
						case '6': *out_carry = '1'; *result = '3'; break;
						case '7': *out_carry = '1'; *result = '4'; break;
						case '8': *out_carry = '1'; *result = '5'; break;
						case '9': *out_carry = '1'; *result = '6'; break;
						default: ret_val = 0; //Error: c2 out of range
					}
					break;
		case '8':	switch (c2)
					{
						case '0': *out_carry = '0'; *result = '8'; break;
						case '1': *out_carry = '0'; *result = '9'; break;
						case '2': *out_carry = '1'; *result = '0'; break;
						case '3': *out_carry = '1'; *result = '1'; break;
						case '4': *out_carry = '1'; *result = '2'; break;
						case '5': *out_carry = '1'; *result = '3'; break;
						case '6': *out_carry = '1'; *result = '4'; break;
						case '7': *out_carry = '1'; *result = '5'; break;
						case '8': *out_carry = '1'; *result = '6'; break;
						case '9': *out_carry = '1'; *result = '7'; break;
						default: ret_val = 0; //Error: c2 out of range
					}
					break;
		case '9':	switch (c2)
					{
						case '0': *out_carry = '0'; *result = '9'; break;
						case '1': *out_carry = '1'; *result = '0'; break;
						case '2': *out_carry = '1'; *result = '1'; break;
						case '3': *out_carry = '1'; *result = '2'; break;
						case '4': *out_carry = '1'; *result = '3'; break;
						case '5': *out_carry = '1'; *result = '4'; break;
						case '6': *out_carry = '1'; *result = '5'; break;
						case '7': *out_carry = '1'; *result = '6'; break;
						case '8': *out_carry = '1'; *result = '7'; break;
						case '9': *out_carry = '1'; *result = '8'; break;
						default: ret_val = 0; //Error: c2 out of range
					}
					break;
		default:	ret_val = 0; //Error: c1 out of range
	}
	switch (in_carry)	//go through "switch case" to get answer without calculate.
	{
		case '0':	break;
		case '1':	switch (*result)
					{
						case '0': *result = '1'; break;
						case '1': *result = '2'; break;
						case '2': *result = '3'; break;
						case '3': *result = '4'; break;
						case '4': *result = '5'; break;
						case '5': *result = '6'; break;
						case '6': *result = '7'; break;
						case '7': *result = '8'; break;
						case '8': *result = '9'; break;
						case '9': *out_carry = '1'; *result = '0'; break;
					}
					break;
		default:	ret_val = 0; //Error: in_carry out of range
	}
	if (ret_val != 1)
	{
		*out_carry = '0';
		*result = '0';
	}
	return ret_val;
}

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