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72 changes: 59 additions & 13 deletions Maths/AverageMedian.js
Original file line number Diff line number Diff line change
Expand Up @@ -8,22 +8,68 @@
* else if the length of the array is odd number, the median value will be the middle number in the array
*/

const averageMedian = (numbers) => {
let median = 0
const numLength = numbers.length
numbers = numbers.sort(sortNumbers)

if (numLength % 2 === 0) {
median = (numbers[numLength / 2 - 1] + numbers[numLength / 2]) / 2
} else {
median = numbers[(numLength - 1) / 2]
const toArray = (_iterable, _selector) => {
const res = [];
if(!_selector) {
for (const x of _iterable)
res.push(x);
}
else {
for (const x of _iterable)
res.push(_selector(x));
}
return res;
};

return median
}
const averageMedian = (_arrayOrIterable, {sort, selector} = {}) => {
let array = _arrayOrIterable;

const isArray = Array.isArray(_arrayOrIterable);
if(!isArray)
array = toArray(array);

const len = array.length;
if (len <= 0)
return undefined;
if (len === 1) {
if (selector)
return selector(array[0]);
return array[0];
}

if (len === 2) {
const a = array[0];
const b = array[1];
if (selector)
return 0.5 * (selector(a) + selector(b));
return 0.5 * (a + b);
}

let data = array;
if (sort !== false) {
if(isArray)
data = [...array];

if (selector)
data.sort((_x, _y) => selector(_x) - selector(_y));
else
data.sort();
}

if (len % 2 === 0) {
const i = len / 2;
const a = data[i - 1];
const b = data[i];
if (selector)
return 0.5 * (selector(a) + selector(b));
return 0.5 * (a + b);
}

const z = data[(len - 1) >> 1];
if (selector)
return selector(z);

const sortNumbers = (num1, num2) => {
return num1 - num2
return z;
}

export { averageMedian }
100 changes: 81 additions & 19 deletions Maths/test/AverageMedian.test.js
Original file line number Diff line number Diff line change
@@ -1,21 +1,83 @@
import { averageMedian } from '../AverageMedian'

test('should return the median of an array of numbers:', () => {
const medianValue = averageMedian([1, 2, 6, 4, 5])
expect(medianValue).toBe(4)
})

test('should return the median of an array of numbers:', () => {
const medianValue = averageMedian([8, 9, 1, 2, 5, 10, 11])
expect(medianValue).toBe(8)
})

test('should return the median of an array of numbers:', () => {
const medianValue = averageMedian([15, 18, 3, 9, 13, 5])
expect(medianValue).toBe(11)
})

test('should return the median of an array of numbers:', () => {
const medianValue = averageMedian([1, 2, 3, 4, 6, 8])
expect(medianValue).toBe(3.5)
})
describe('math median tests', () => {
// ----------------------------------------------------------------------
test('given empty array then median is undefined', () => {
expect(averageMedian([])).toBeUndefined();
});
// ----------------------------------------------------------------------
test('given single array then median is found', () => {
expect(averageMedian([1])).toBe(1);
});
// ----------------------------------------------------------------------
test('given array then median not changed the origin', () => {
const src = [1,2,1,2,0,2];
averageMedian([src]);
expect(src).toEqual([1,2,1,2,0,2]);
});
// ----------------------------------------------------------------------
test('given array when selector defined then median not changed the origin', () => {
const src = [1,2,1,2,0,2];
averageMedian([src],{selector:_x=>_x});
expect(src).toEqual([1,2,1,2,0,2]);
});
// ----------------------------------------------------------------------
test('given single array when selector defined then median is found', () => {
expect(averageMedian(["abc"], {selector: _x => _x.length})).toBe(3);
});
// ----------------------------------------------------------------------
test('given sorted array then median is found', () => {
expect(averageMedian([1],{sort:false})).toBe(1);
expect(averageMedian([1,2],{sort:false})).toBe(1.5);
expect(averageMedian([1,2,5],{sort:false})).toBe(2);
expect(averageMedian([1,2,5,5],{sort:false})).toBe(3.5);
expect(averageMedian([1,2,5,5,5],{sort:false})).toBe(5);
});
// ----------------------------------------------------------------------
test('given sorted array when selector defined then median is found', () => {
expect(averageMedian([1],{sort:false,selector:_x=>_x})).toBe(1);
expect(averageMedian([1,2],{sort:false,selector:_x=>_x})).toBe(1.5);
expect(averageMedian([1,2,5],{sort:false,selector:_x=>_x})).toBe(2);
expect(averageMedian([1,2,5,5],{sort:false,selector:_x=>_x})).toBe(3.5);
expect(averageMedian([1,2,5,5,5],{sort:false,selector:_x=>_x})).toBe(5);
});
// ----------------------------------------------------------------------
test('given not sorted array then median is found', () => {
expect(averageMedian([1])).toBe(1);
expect(averageMedian([2,1])).toBe(1.5);
expect(averageMedian([5,1,2])).toBe(2);
expect(averageMedian([5,2,1,5])).toBe(3.5);
expect(averageMedian([5,1,5,2,5])).toBe(5);
});
// ----------------------------------------------------------------------
test('given not sorted array when selector defined then median is found', () => {
expect(averageMedian([1],{selector:_x=>_x})).toBe(1);
expect(averageMedian([2,1],{selector:_x=>_x})).toBe(1.5);
expect(averageMedian([5,1,2],{selector:_x=>_x})).toBe(2);
expect(averageMedian([5,2,1,5],{selector:_x=>_x})).toBe(3.5);
expect(averageMedian([5,1,5,2,5],{selector:_x=>_x})).toBe(5);
});
// ----------------------------------------------------------------------
test('given empty generator then median is undefined', () => {
const src = function*(){}
expect(averageMedian(src())).toBeUndefined();
});
// ----------------------------------------------------------------------
test('given generator then median is found', () => {
const src = function*(){
yield 1;
yield -1;
yield 0;
}
expect(averageMedian(src())).toBe(0);
});
// ----------------------------------------------------------------------
test('given string generator then median string length is found', () => {
const src = function*(){
yield "abc";
yield "de";
yield "qwertyq";
}
expect(averageMedian(src(),{selector:_x=>_x.length})).toBe(3);
});
});