/**
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* taylor-serie-exp.js
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*
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*/
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import {terminal} from "./dfhi.js";
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window.main = function(...argv) {
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const x = Number.parseFloat(argv[0]);
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const variant1 = exp1(x);
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const variant2 = exp2(x);
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const variant3 = exp3(x);
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const variant4 = exp4(x);
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let expected = Math.exp(x);
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terminal.printl(
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`variant 1: ${variant1}
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variant 2: ${variant2}
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variant 3: ${variant3}
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variant 4: ${variant4}
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expected : ${expected}`
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)
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};
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function exp1(x) {
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let sum = 1.0;
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const NUM_OF_TERM = 10;
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//DEBUG: let expression = "1";
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for(let n = 1; n <= NUM_OF_TERM; ++n){
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let num = 1.0,
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den = 1.0;
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for (let i = 1; i <= n; ++i) {
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num *= x;
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den *= i;
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}
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//DEBUG: expression += ` + ${num}/${den}`
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sum += num / den;
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//DEBUG: console.log({n, expression});
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}
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return sum;
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}
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function exp2(x) {
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let sum = 1.0;
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const NUM_OF_TERM = 1000;
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for(let n = 1; n <= NUM_OF_TERM; ++n){
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let term = 1.0;
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for (let i = 1; i <= n; ++i) {
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term *= x/i;
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}
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sum += term;
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}
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return sum;
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}
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function exp3(x) {
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let sum = 0.0,
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term = 1.0;
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for(let n = 1; sum !== sum + term; ++n) {
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sum += term;
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term = 1.0;
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for (let i = 1; i <= n; ++i) {
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term *= x/i;
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}
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}
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return sum;
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}
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function exp4(x) {
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let sum = 0.0,
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term = 1.0;
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for(let i = 1; sum !== sum+term; ++i) {
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sum += term;
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term *= x/i;
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}
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return sum;
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}
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