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<!DOCTYPE html> | |
<html lang="en"> | |
<head> | |
<meta charset="UTF-8"> | |
<meta name="viewport" content="width=device-width, initial-scale=1.0"> | |
<meta http-equiv="X-UA-Compatible" content="ie=edge"> | |
<title>BigO Notation</title> | |
</head> | |
<body> | |
<h1>Big O Notation</h1> | |
<script> | |
//O(1) | |
function constantTime(input) { | |
console.log(input) | |
} | |
//O(n) | |
function linearTime(input) { | |
for (let i = 0; i < input; i++) { | |
console.log(i) | |
} | |
} | |
//O(log n) | |
function logarithmicTime(input) { | |
for (let j = input; j > 0; j = Math.floor(j / 2)) { | |
console.log(j) | |
} | |
} | |
// O(n^2) | |
function cuadraticTime(inputA, inputB) { | |
for (let i = 0; i < inputA; i++) { | |
for (let j = 0; j < inputB; j++) { | |
console.log(j) | |
} | |
} | |
} | |
// O(n^3) | |
function cubicTime(inputA, inputB, inputC) { | |
for (let i = 0; i < inputA; i++) { | |
console.count(i) | |
for (let j = 0; j < inputB; j++) { | |
for (let h = 0; h < inputC; h++) { | |
console.log(h) | |
} | |
} | |
} | |
} | |
//O(n!) | |
function factorialTime(input) { | |
let times = factorialHelper(input) | |
for (let i = 0; i < times; i++) { | |
console.log('operations') | |
} | |
} | |
//O(n log n) | |
function linearLogTime(input) { | |
for (let i = 0; i < input; i++) { //O(n) | |
for (let j = input; j > 0; j = Math.floor(j / 2)) { //O(log n) | |
console.log(j) | |
} | |
} | |
} | |
//Helpers | |
function factorialHelper(input) { | |
if (input == 0) { | |
return 1 | |
} | |
return input * factorialHelper(input - 1) | |
} | |
function printWithTime(fn, input, title) { | |
console.time(title) | |
fn.apply(this, input) | |
console.timeEnd(title) | |
} | |
console.log('\n###### CONSTANT TIME ########') | |
printWithTime(constantTime, [10], 'Constant Time') | |
printWithTime(constantTime, [100000], 'Constant Time') | |
printWithTime(constantTime, [1000000], 'Constant Time') | |
console.log('\n###### LINEAR TIME ########') | |
printWithTime(linearTime, [10], 'Linear Time 10') | |
printWithTime(linearTime, [100], 'Linear Time 100') | |
printWithTime(linearTime, [1000], 'Linear Time 1000') | |
console.log('\n###### logarithmic TIME ########') | |
printWithTime(logarithmicTime, [10], 'logarithmic Time') | |
printWithTime(logarithmicTime, [1000], 'logarithmic Time') | |
console.log('\n###### CUADRATIC TIME ########') | |
printWithTime(cuadraticTime, [1, 10], 'Cuadratic Time') | |
printWithTime(cuadraticTime, [10, 100], 'Cuadratic Time') | |
console.log('\n###### CUBIC TIME ########') | |
printWithTime(cubicTime, [1, 10, 100], 'Cubic Time') | |
printWithTime(cubicTime, [1, 100, 1000], 'Cubic Time') | |
console.log('\n###### FACTORIAL TIME ########') | |
printWithTime(factorialTime, [2], 'Factorial Time 2') | |
printWithTime(factorialTime, [6], 'Factorial Time 6') | |
console.log('\n###### LINEAR TIME + logarithmic TIME ########') | |
printWithTime(logarithmicTime, [1000], 'Linear logarithmic Time') | |
printWithTime(linearLogTime, [10], 'Linear logarithmic Time') | |
</script> | |
</body> | |
</html> |
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