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linear-equation-solver.js
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linear-equation-solver.js
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//*******************************************
//Linear Equation Solver
//2011 Daniel C. Peterson ALL RIGHTS RESERVED
//Created: 10/10/2011
//Last Modified: 10/11/2011
//This script may not be copied, edited or reproduced
//without express written permission from
//Daniel C. Peterson of Web Winder Website Services
//For commercial use rates, contact:
//Web Winder Website Services
//P.O. Box 11
//Bemidji, MN 56619
//dan@webwinder.com
//http://www.webwinder.com
//Commercial User License #:free-online-calculator-use.com
//Code protected by COPYSCAPE
//A prerequisite to business success is INTEGRITY.
//Show that YOU have integrity by respecting the hard work that
//went into building this calculator.
//*******************************************
var var_ar = new Array("a","b","c","d","e","f","g","h","i","j","k","l","m","n","o","p","q","r","s","t","u","v","w","x","y","z");
var var_ar_caps = new Array("A","B","C","D","E","F","G","H","I","J","K","L","M","N","O","P","Q","R","S","T","U","V","W","X","Y","Z");
function get_samp(form) {
var samps_idx = document.calc.samps.selectedIndex;
var samps_txt = document.calc.samps.options[samps_idx].text;
if(samps_txt.indexOf("---") > -1) {
document.calc.equation.value = "";
} else {
document.calc.equation.value = samps_txt;
}
clear_results(document.calc);
}
function solve_equation(form) {
var v_equation = document.calc.equation.value;
var v_variable = "";
var var_match_cnt = 0;
var l_paren_cnt = 0;
var r_paren_cnt = 0;
var equal_cnt = 0;
for(var i = 0; i<var_ar.length; i++) {
if(v_equation.indexOf(var_ar[i]) > -1) {
v_variable = var_ar[i];
var_match_cnt += 1;
}
if(v_equation.indexOf(var_ar_caps[i]) > -1) {
v_variable = var_ar_caps[i];
var_match_cnt += 1;
}
}
for(var i = 0; i<v_equation.length; i++) {
if(v_equation.charAt(i) == "(") {
l_paren_cnt += 1;
}
if(v_equation.charAt(i) == ")") {
r_paren_cnt += 1;
}
if(v_equation.charAt(i) == "=") {
equal_cnt += 1;
}
}
if(v_equation.length == 0) {
alert("Please enter a linear equation.");
document.calc.equation.focus();
} else
if(v_equation.indexOf(" ") > -1) {
alert("Please remove spaces from the entered linear equation.");
document.calc.equation.focus();
} else
if(var_match_cnt == 0) {
alert("Please add a variable in the entered linear equation.");
document.calc.equation.focus();
} else
if(var_match_cnt > 1) {
alert("Only one variable is allowed in the entered linear equation.");
document.calc.equation.focus();
} else
if(l_paren_cnt != r_paren_cnt) {
alert("You have an odd number of parenthesis in the entered linear equation. Please correct.");
document.calc.equation.focus();
} else
if(equal_cnt != 1) {
alert("You must have one and only one equal sign. Please correct.");
document.calc.equation.focus();
} else {
var tbl = "<br /><br /><center><table class='ChartTable'>";
tbl += "<tr><td colspan='2' class='ChartTextCellLeft'>";
tbl += "<img src='image-files/calcy-pointer-right.jpg' width='60' height='54' class='ItemLeft' />";
tbl += "Please check my work to make sure the result does solve the equation. Substitute the ";
tbl += "result for the variable (" + v_variable + ") to make sure my calculations are correct.";
tbl += "</td></tr>";
tbl += "<tr><td width='200' class='ChartTextCellLeft'>Equation: </td>";
tbl += "<td width='350' class='ChartTextCell'>" + v_equation + "</td></tr>";
var l_frac_idx_ar = new Array();
var l_frac_typ_ar = new Array(); //0=cons, 1=coef
var l_frac_num_ar = new Array();
var l_frac_den_ar = new Array();
var r_frac_idx_ar = new Array();
var r_frac_typ_ar = new Array(); //0=cons, 1=coef
var r_frac_num_ar = new Array();
var r_frac_den_ar = new Array();
var lcm_ar = new Array();
var l_dec_ar = new Array();
var l_dec_typ_ar = new Array(); //0=cons, 1=coef
var r_dec_ar = new Array();
var r_dec_typ_ar = new Array(); //0=cons, 1=coef
if(v_equation.indexOf("(") > -1) {
var num_pars = 1;
var pars_cnt = 0;
while(num_pars > 0 && pars_cnt < 10) {
pars_cnt += 1;
if(v_equation.indexOf("(") > -1) {
var l_par_pos = v_equation.indexOf("(");
var r_par_pos = v_equation.indexOf(")");
var dist_equat = v_equation.substring(l_par_pos+1,r_par_pos);
var dist_pos = 0;
for(var i = l_par_pos; i>-1; i--) {
if(v_equation.charAt(i) == "=" || v_equation.charAt(i) == "+" || v_equation.charAt(i) == "-") {
if(v_equation.charAt(i) == "=") {
dist_pos = i+1;
break;
} else {
dist_pos = i;
break;
}
}
}
var dist_num = v_equation.substring(dist_pos,l_par_pos);
var dist_split_pos = 0;
if(dist_equat.indexOf("+") > -1) {
dist_split_pos = dist_equat.indexOf("+");
} else {
dist_split_pos = dist_equat.lastIndexOf("-");
}
dist_1 = dist_equat.substring(0,dist_split_pos);
dist_2 = dist_equat.substring(dist_split_pos,dist_equat.length);
var dist_1_var = 0;
var dist_1_num = 0;
if(dist_1.indexOf(v_variable) > -1) {
dist_1 = dist_1.substring(0,dist_1.length-1);
if(dist_1 == "" || dist_1 == "+" || dist_1 == "-") {
dist_1 += "1";
}
dist_1_var = 1;
}
dist_1_num = dist_1;
var dist_2_var = 0;
var dist_2_num = 0;
if(dist_2.indexOf(v_variable) > -1) {
dist_2 = dist_2.substring(0,dist_2.length-1);
if(dist_2 == "" || dist_2 == "+" || dist_2 == "-") {
dist_2 += "1";
}
dist_2_var = 1;
}
dist_2_num = dist_2;
if(dist_num.indexOf("/") >-1 || dist_1_num.indexOf("/") >-1 || dist_2_num.indexOf("/") >-1) {
if(dist_num.indexOf("/") >-1) {
var dist_frac_ar = dist_num.split("/");
var dist_frac_num = dist_frac_ar[0];
var dist_frac_den = dist_frac_ar[1];
} else {
var dist_frac_num = dist_num;
var dist_frac_den = 1;
}
if(dist_1_num.indexOf("/") >-1) {
var dist_frac_1_ar = dist_1_num.split("/");
var dist_frac_1_num = dist_frac_1_ar[0];
var dist_frac_1_den = dist_frac_1_ar[1];
} else {
var dist_frac_1_num = dist_1_num;
var dist_frac_1_den = 1;
}
if(dist_2_num.indexOf("/") >-1) {
var dist_frac_2_ar = dist_2_num.split("/");
var dist_frac_2_num = dist_frac_2_ar[0];
var dist_frac_2_den = dist_frac_2_ar[1];
} else {
var dist_frac_2_num = dist_2_num;
var dist_frac_2_den = 1;
}
var dist_1_num_final = dist_frac_num * dist_frac_1_num;
var dist_2_num_final = dist_frac_num * dist_frac_2_num;
var dist_1_den_final = dist_frac_den * dist_frac_1_den;
var dist_2_den_final = dist_frac_den * dist_frac_2_den;
var dist_1_fnl = dist_1_num_final + "/" + dist_1_den_final;
var dist_2_fnl = dist_2_num_final + "/" + dist_2_den_final;
} else {
var dist_1_fnl = "" + (dist_num * dist_1_num) + "";
var dist_2_fnl = "" + (dist_num * dist_2_num) + "";
}
var dist_insert = "";
if(dist_1_fnl.indexOf("-") == -1) {
dist_insert += "+";
}
dist_insert += "" + dist_1_fnl + "";
if(dist_1_var == 1) {
dist_insert += "" + v_variable + "";
}
if(dist_2_fnl.indexOf("-") == -1) {
dist_insert += "+";
}
dist_insert += "" + dist_2_fnl + "";
if(dist_2_var == 1) {
dist_insert += "" + v_variable + "";
}
v_equation = v_equation.substring(0,dist_pos) + "" + dist_insert + "" + v_equation.substring(r_par_pos+1,v_equation.length);
if(v_equation.charAt(0) == "+") {
v_equation = v_equation.substring(1,v_equation.length);
}
} else {
num_pars = 0;
}
}
if(v_equation.charAt(v_equation.indexOf("=")+1) == "+") {
v_equation = v_equation.substring(0,v_equation.indexOf("=")+1) + "" + v_equation.substring(v_equation.indexOf("=")+2,v_equation.length);
}
tbl += "<tr><td class='ChartTextCellLeft'>After removing parenthesis using distributive property: </td>";
tbl += "<td class='ChartTextCell'>" + v_equation + "</td></tr>";
}
var sides_ar = v_equation.split("=");
var l_len = sides_ar[0].length;
var l_sign_pos_str = l_len;
var l_sign_str = l_len;
for(var i = 0; i<l_len; i++) {
if(sides_ar[0].substring(i,i+1) == "+") {
l_sign_pos_str += "|" + i;
l_sign_str += "|+";
} else
if(sides_ar[0].substring(i,i+1) == "-") {
l_sign_pos_str += "|" + i;
l_sign_str += "|-";
} else {
if(i==0) {
l_sign_pos_str += "|0";
l_sign_str += "|+";
}
}
}
l_sign_pos_ar = l_sign_pos_str.split("|");
l_sign_ar = l_sign_str.split("|");
l_term_list = "";
var l_term_ar = new Array();
var r_term_ar = new Array();
var equal_sign_chk = 0;
var term = "";
for(s = 1; s<l_sign_pos_ar.length; s++) {
term = sides_ar[0].substring(l_sign_pos_ar[s],l_sign_pos_ar[s+1]);
dec_term = term;
l_term_ar.push(term);
if(v_equation.indexOf("/") > -1) {
l_frac_idx_ar.push(l_term_ar.length-1);
if(term.indexOf("/") > -1) {
if(term.indexOf(v_variable) > -1) {
term=term.substring(0,term.length-1);
l_frac_typ_ar.push(1);
} else {
l_frac_typ_ar.push(0);
}
var frac_ar = term.split("/");
lcm_ar.push(frac_ar[1]);
l_frac_num_ar.push(frac_ar[0]);
l_frac_den_ar.push(frac_ar[1]);
} else {
if(term.indexOf(v_variable) > -1) {
term=term.substring(0,term.length-1);
l_frac_typ_ar.push(1);
} else {
l_frac_typ_ar.push(0);
}
lcm_ar.push(1);
l_frac_num_ar.push(term);
l_frac_den_ar.push(1);
}
}
if(v_equation.indexOf(".") > -1) {
if(dec_term.indexOf(v_variable) > -1) {
dec_term=dec_term.substring(0,dec_term.length-1);
l_dec_typ_ar.push(1);
} else {
l_dec_typ_ar.push(0);
}
l_dec_ar.push(dec_term);
}
}
var r_len = sides_ar[1].length;
var r_sign_pos_str = r_len;
var r_sign_str = r_len;
for(var i = 0; i<r_len; i++) {
if(sides_ar[1].substring(i,i+1) == "+") {
r_sign_pos_str += "|" + i;
r_sign_str += "|+";
} else
if(sides_ar[1].substring(i,i+1) == "-") {
r_sign_pos_str += "|" + i;
r_sign_str += "|-";
} else {
if(i==0) {
r_sign_pos_str += "|0";
r_sign_str += "|+";
}
}
}
r_sign_pos_ar = r_sign_pos_str.split("|");
r_sign_ar = r_sign_str.split("|");
r_term_list = "";
var r_term_ar = new Array();
var r_term_ar = new Array();
var equar_sign_chk = 0;
var term = "";
for(s = 1; s<r_sign_pos_ar.length; s++) {
term = sides_ar[1].substring(r_sign_pos_ar[s],r_sign_pos_ar[s+1]);
dec_term = term;
r_term_ar.push(term);
if(v_equation.indexOf("/") > -1) {
r_frac_idx_ar.push(r_term_ar.length-1);
if(term.indexOf("/") > -1) {
if(term.indexOf(v_variable) > -1) {
term=term.substring(0,term.length-1);
r_frac_typ_ar.push(1);
} else {
r_frac_typ_ar.push(0);
}
var frac_ar = term.split("/");
lcm_ar.push(frac_ar[1]);
r_frac_num_ar.push(frac_ar[0]);
r_frac_den_ar.push(frac_ar[1]);
} else {
if(term.indexOf(v_variable) > -1) {
term=term.substring(0,term.length-1);
r_frac_typ_ar.push(1);
} else {
r_frac_typ_ar.push(0);
}
lcm_ar.push(1);
r_frac_num_ar.push(term);
r_frac_den_ar.push(1);
}
}
if(v_equation.indexOf(".") > -1) {
if(dec_term.indexOf(v_variable) > -1) {
dec_term=dec_term.substring(0,term.length-1);
r_dec_typ_ar.push(1);
} else {
r_dec_typ_ar.push(0);
}
r_dec_ar.push(dec_term);
}
}
if(lcm_ar.length > 0) {
var lcm = 0;
var mult_chk = 0;
var lcm_cnt = 0;
while(mult_chk == 0 && lcm_cnt < 100000) {
lcm_cnt += 1;
lcm_rem = 0;
for(var i=0; i<lcm_ar.length; i++) {
lcm_rem += lcm_cnt % lcm_ar[i];
}
if(lcm_rem == 0) {
lcm = lcm_cnt;
mult_chk = 1;
}
}
var frac_num = 0;
var frac_div = 0;
for(var i = 0; i<l_frac_idx_ar.length; i++) {
frac_div = lcm / l_frac_den_ar[i];
frac_num = frac_div * l_frac_num_ar[i];
if(l_frac_typ_ar[i]==1) {
l_term_ar[l_frac_idx_ar[i]] = "" + frac_num + "" + v_variable + "";
if(l_dec_ar.length > 0) {
l_dec_ar[i] = "" + frac_num + "";
}
} else {
l_term_ar[l_frac_idx_ar[i]] = "" + frac_num + "";
if(l_dec_ar.length > 0) {
l_dec_ar[i] = "" + frac_num + "";
}
}
}
for(var i = 0; i<r_frac_idx_ar.length; i++) {
frac_div = lcm / r_frac_den_ar[i];
frac_num = frac_div * r_frac_num_ar[i];
if(r_frac_typ_ar[i]==1) {
r_term_ar[r_frac_idx_ar[i]] = "" + frac_num + "" + v_variable + "";
if(r_dec_ar.length > 0) {
r_dec_ar[i] = "" + frac_num + "";
}
} else {
r_term_ar[r_frac_idx_ar[i]] = "" + frac_num + "";
if(r_dec_ar.length > 0) {
r_dec_ar[i] = "" + frac_num + "";
}
}
}
tbl += "<tr><td class='ChartTextCellLeft'>Fractions in the above equation were removed by multiplying both sides by " + lcm + " (";
tbl += "lowest common multiple of all denominators: " + lcm_ar + ")</td>";
tbl += "<td class='ChartTextCell'>";
for(var i = 0; i<l_term_ar.length; i++) {
if(l_term_ar[i].indexOf("-") == -1 && i > 0) {
tbl += "+" + l_term_ar[i] + "";
} else {
tbl += "" + l_term_ar[i] + "";
}
}
tbl += "=";
for(var i = 0; i<r_term_ar.length; i++) {
if(r_term_ar[i].indexOf("-") == -1 && i > 0) {
tbl += "+" + r_term_ar[i] + "";
} else {
tbl += "" + r_term_ar[i] + "";
}
}
tbl += "</td></tr>";
}
if(v_equation.indexOf(".") > -1) {
var dec_equiv = 0;
for(var i = 0; i<l_dec_ar.length; i++) {
dec_equiv = Math.round(l_dec_ar[i] * 100);
if(l_dec_typ_ar[i]==1) {
l_term_ar[i] = "" + dec_equiv + "" + v_variable + "";
} else {
l_term_ar[i] = "" + dec_equiv + "";
}
}
for(var i = 0; i<r_dec_ar.length; i++) {
dec_equiv = Math.round(r_dec_ar[i] * 100);
if(r_dec_typ_ar[i]==1) {
r_term_ar[i] = "" + dec_equiv + "" + v_variable + "";
} else {
r_term_ar[i] = "" + dec_equiv + "";
}
}
tbl += "<tr><td class='ChartTextCellLeft'>Decimals removed from the above equation by multiplying both sides by 100: </td>";
tbl += "<td class='ChartTextCell'>";
for(var i = 0; i<l_term_ar.length; i++) {
if(l_term_ar[i].indexOf("-") == -1 && i > 0) {
tbl += "+" + l_term_ar[i] + "";
} else {
tbl += "" + l_term_ar[i] + "";
}
}
tbl += "=";
for(var i = 0; i<r_term_ar.length; i++) {
if(r_term_ar[i].indexOf("-") == -1 && i > 0) {
tbl += "+" + r_term_ar[i] + "";
} else {
tbl += "" + r_term_ar[i] + "";
}
}
tbl += "</td></tr>";
}
var l_coef_ar = new Array();
var l_cons_ar = new Array();
for(var i = 0; i<l_term_ar.length; i++) {
if(l_term_ar[i].indexOf(v_variable) > -1) {
l_coef_ar.push(l_term_ar[i]);
} else {
l_cons_ar.push(l_term_ar[i]);
}
}
var l_cons = 0;
if(l_cons_ar.length > 1) {
for(var i = 0; i<l_cons_ar.length; i++) {
l_cons += Number(l_cons_ar[i]);
}
} else
if(l_cons_ar.length == 1) {
l_cons = l_cons_ar[0];
}
var l_coef = 0;
var l_coef_num = 0;
if(l_coef_ar.length > 1) {
for(var i = 0; i<l_coef_ar.length; i++) {
l_coef_num = l_coef_ar[i].substring(0,l_coef_ar[i].length-1);
if(l_coef_num == "" || l_coef_num == "+" || l_coef_num == "-") {
l_coef_num = "" + l_coef_num + "1";
}
l_coef += Number(l_coef_num);
}
} else
if(l_coef_ar.length == 1) {
l_coef_num = l_coef_ar[0].substring(0,l_coef_ar[0].length-1);
if(l_coef_num == "" || l_coef_num == "+" || l_coef_num == "-") {
l_coef_num = "" + l_coef_num + "1";
}
l_coef += Number(l_coef_num);
}
var r_coef_ar = new Array();
var r_cons_ar = new Array();
for(var i = 0; i<r_term_ar.length; i++) {
if(r_term_ar[i].indexOf(v_variable) > -1) {
r_coef_ar.push(r_term_ar[i]);
} else {
r_cons_ar.push(r_term_ar[i]);
}
}
var r_cons = 0;
if(r_cons_ar.length > 1) {
for(var i = 0; i<r_cons_ar.length; i++) {
r_cons += Number(r_cons_ar[i]);
}
} else
if(r_cons_ar.length == 1) {
r_cons = r_cons_ar[0];
}
var r_coef = 0;
var r_coef_num = 0;
if(r_coef_ar.length > 1) {
for(var i = 0; i<r_coef_ar.length; i++) {
r_coef_num = r_coef_ar[i].substring(0,r_coef_ar[i].length-1);
if(r_coef_num == "" || r_coef_num == "+" || r_coef_num == "-") {
r_coef_num = "" + r_coef_num + "1";
}
r_coef += Number(r_coef_num);
}
} else
if(r_coef_ar.length == 1) {
r_coef_num = r_coef_ar[0].substring(0,r_coef_ar[0].length-1);
if(r_coef_num == "" || r_coef_num == "+" || r_coef_num == "-") {
r_coef_num = "" + r_coef_num + "1";
}
r_coef += Number(r_coef_num);
}
if(l_cons_ar.length > 1 || r_cons_ar.length > 1 || l_coef_ar.length > 1 || r_coef_ar.length > 1) {
tbl += "<tr><td class='ChartTextCellLeft'>Combining like terms ";
var like_term_txt = "";
if(l_coef_ar.length > 0) {
like_term_txt += "" + Number(l_coef) + "" + v_variable + "";
if(l_coef_ar.length > 1) {
tbl += " (" + l_coef_ar + ") ";
}
}
if(l_cons_ar.length > 0) {
if(l_cons > 0) {
like_term_txt += "+" + Number(l_cons) + "";
} else {
like_term_txt += "" + Number(l_cons) + "";
}
if(l_cons_ar.length > 1) {
tbl += " (" + l_cons_ar + ") ";
}
}
like_term_txt += "=";
if(r_coef_ar.length > 0) {
like_term_txt += "" + Number(r_coef) + "" + v_variable + "";
if(r_coef_ar.length > 1) {
tbl += " (" + r_coef_ar + ") ";
}
}
if(r_cons_ar.length > 0) {
if(r_cons > 0) {
like_term_txt += "+" + Number(r_cons) + "";
} else {
like_term_txt += "" + Number(r_cons) + "";
}
if(r_cons_ar.length > 1) {
tbl += " (" + r_cons_ar + ") ";
}
}
tbl += " on both sides of the above equation leaves: </td>";
tbl += "<td class='ChartTextCell'>" + like_term_txt + "";
tbl += "</td></tr>";
}
if(l_coef != 0 && r_coef != 0) {
if(r_coef > 0) {
l_coef = Number(l_coef) - Number(Math.abs(r_coef));
tbl += "<tr><td class='ChartTextCellLeft'>Subtracting " + Number(Math.abs(r_coef)) + "" + v_variable + " from ";
tbl += "both sides of the above equation leaves:</td>";
tbl += "<td class='ChartTextCell'>";
tbl += "" + write_equat(l_coef,l_cons,0,r_cons,v_variable) + "";
tbl += "</td></tr>";
} else {
l_coef = Number(l_coef) + Number(Math.abs(r_coef));
tbl += "<tr><td class='ChartTextCellLeft'>Adding " + Number(Math.abs(r_coef)) + "" + v_variable + " to ";
tbl += "both sides of the above equation leaves:</td>";
tbl += "<td class='ChartTextCell'>";
tbl += "" + write_equat(l_coef,l_cons,0,r_cons,v_variable) + "";
tbl += "</td></tr>";
}
r_coef = 0;
}
if(l_cons != 0 && r_cons != 0) {
if(l_coef != 0) {
if(l_cons > 0) {
r_cons = Number(r_cons) - Number(Math.abs(l_cons));
tbl += "<tr><td class='ChartTextCellLeft'>Subtracting " + Number(Math.abs(l_cons)) + " from both ";
tbl += "sides of the above equation leaves:</td>";
tbl += "<td class='ChartTextCell'>";
tbl += "" + write_equat(l_coef,0,r_coef,r_cons,v_variable) + "";
tbl += "</td></tr>";
} else {
r_cons = Number(r_cons) + Number(Math.abs(l_cons));
tbl += "<tr><td class='ChartTextCellLeft'>Adding " + Number(Math.abs(l_cons)) + " to both ";
tbl += "sides of the above equation leaves:</td>";
tbl += "<td class='ChartTextCell'>";
tbl += "" + write_equat(l_coef,0,r_coef,r_cons,v_variable) + "";
tbl += "</td></tr>";
}
l_cons = 0;
} else {
if(r_cons > 0) {
l_cons = Number(l_cons) - Number(Math.abs(r_cons));
tbl += "<tr><td class='ChartTextCellLeft'>Subtracting " + Number(Math.abs(r_cons)) + " from both ";
tbl += "sides of the above equation leaves:</td>";
tbl += "<td class='ChartTextCell'>";
tbl += "" + write_equat(l_coef,l_cons,r_coef,0,v_variable) + "";
tbl += "</td></tr>";
} else {
l_cons = Number(l_cons) + Number(Math.abs(r_cons));
tbl += "<tr><td class='ChartTextCellLeft'>Adding " + Number(Math.abs(r_cons)) + " to both ";
tbl += "sides of the above equation leaves:</td>";
tbl += "<td class='ChartTextCell'>";
tbl += "" + write_equat(l_coef,l_cons,r_coef,0,v_variable) + "";
tbl += "</td></tr>";
}
r_cons = 0;
}
}
var v_ans = "";
var red_tbl = "";
if(l_coef == 0 && r_coef == 0) {
tbl += "<tr><td class='ChartTextCellLeft'>Result:</td><td class='ChartTextCell'>";
if(l_cons == r_cons) {
v_ans = "" + v_variable + " = All Real Numbers";
tbl += "" + v_variable + " = All Real Numbers";
} else {
v_ans = "No Solution";
tbl += "No Solution";
}
tbl += "</td></tr>";
} else
if(l_coef != 0) {
tbl += "<tr><td class='ChartTextCellLeft'>Divide both sides of the above equation by " + l_coef + ": </td><td class='ChartTextCell'>";
tbl += "<center><table><tr><td style='border-bottom: 1px solid #000; text-align: center;'>" + l_coef + "" + v_variable + "</td>";
tbl += "<td rowspan='2' style='vertical-align: middle'>=</td>";
tbl += "<td style='text-align: center; border-bottom: 1px solid #000''>" + r_cons + "</td></tr>";
tbl += "<tr><td style='text-align: center;'>" + l_coef + "</td>";
tbl += "<td style='text-align: center;'>" + l_coef + "</td></tr></table></center></td></tr>";
tbl += "<tr><td class='ChartTextCellLeft'>Result: </td><td class='ChartTextCell'>";
if(r_cons % l_coef == 0) {
r_cons = r_cons / l_coef;
tbl += "" + v_variable + " = " + r_cons + "";
document.calc.ans.value = "" + v_variable + " = " + r_cons + "";
} else {
tbl += "" + reduce_fract(r_cons,l_coef,v_variable) + "";
}
tbl += "</td></tr>";
} else {
tbl += "<tr><td class='ChartTextCellLeft'>Divide both sides of the above equation by " + r_coef + ": </td><td class='ChartTextCell'>";
tbl += "<center><table><tr><td style='border-bottom: 1px solid #000; text-align: center;'>" + l_cons + "</td>";
tbl += "<td rowspan='2' style='vertical-align: middle'>=</td>";
tbl += "<td style='text-align: center; border-bottom: 1px solid #000''>" + r_coef + "" + v_variable + "</td></tr>";
tbl += "<tr><td style='text-align: center;'>" + r_coef + "</td>";
tbl += "<td style='text-align: center;'>" + r_coef + "</td></tr></table></center></td></tr>";
tbl += "<tr><td class='ChartTextCellLeft'>Result: </td><td class='ChartTextCell'>";
if(l_cons % r_coef == 0) {
l_cons = l_cons / r_coef;
tbl += "" + l_cons + " = " + v_variable + "";
document.calc.ans.value = "" + l_cons + " = " + v_variable + "";
} else {
tbl += "" + reduce_fract(l_cons,r_coef,v_variable) + "";
}
tbl += "</td></tr>";
}
tbl += "</table></center><br /><br />";
document.getElementById("summary").innerHTML = tbl;
}
}
function write_equat(lf,lc,rf,rc,v) {
var equat_txt = ""
var left_cnt = 0;
if(lf != 0) {
left_cnt += 1;
}
if(lc != 0) {
left_cnt += 1;
}
var right_cnt = 0;
if(rf != 0) {
right_cnt += 1;
}
if(rc != 0) {
right_cnt += 1;
}
if(lf != 0) {
equat_txt += "" + Number(lf) + "" + v + "";
}
if(lc != 0) {
if(lc > 0 && left_cnt > 1) {
equat_txt += "+" + Number(lc) + "";
} else {
equat_txt += "" + Number(lc) + "";
}
}
equat_txt += "=";
if(rf != 0) {
equat_txt += "" + Number(rf) + "" + v + "";
}
if(rc != 0) {
if(rc > 0 && right_cnt > 1) {
equat_txt += "+" + Number(rc) + "";
} else {
equat_txt += "" + Number(rc) + "";
}
}
return equat_txt;
}
function reduce_fract(numer,denom,v) {
var sign = "";
if(numer < 0 && denom < 0) {
numer = Math.abs(numer);
denom = Math.abs(denom);
} else
if(numer < 0 || denom < 0) {
numer = Math.abs(numer);
denom = Math.abs(denom);
sign = "-";
}
var max_gcf = 0;
if(numer > denom) {
max_gcf = numer;
} else
if(denom > numer) {
max_gcf = denom;
} else {
max_gcf = 1;
}
var v_gfc = 1;
var cnt = max_gcf;
var mult_chk = 0
while(cnt > 0) {
if(numer % cnt == 0 && denom % cnt == 0 && mult_chk == 0) {
v_gcf = cnt;
mult_chk = 1;
}
cnt --;
}
var v_red_numer = numer / v_gcf;
var v_red_denom = denom / v_gcf;
document.calc.ans.value = "" + v + " = " + sign + "" + v_red_numer + "/" + v_red_denom + "";
var numer_style = "style='border-bottom: 1px solid black; text-align: center; font-weight: normal;'";
var equal_style = "style='vertical-align: middle; text-align: center; font-weight: normal;'";