英文:
How to Implement a javascript solution to calculate the total length of iron bars required to create a gate?
问题
请帮助我解决这个问题,
实现一个能够计算创建大门所需的铁条总长度的JavaScript应用程序。大门将具有交替的设计,包括空行和填满圆圈的行(请注意设计从顶部的空行开始)。设计应该是对称的。如果无法为给定的输入生成对称设计,程序应该识别并向用户显示一条消息。
注意:
栅杆的厚度为10厘米;
在进行计算时考虑这个值。
尽量减少栅杆的浪费。
输入:
大门的宽度和高度(以厘米为单位)
每行的最大高度百分比(例如,如果大门高度为100厘米,每行的最大高度为10%,那么每行的最大高度可以为10厘米)。
这是代码块。
function calculateTotalBarLengthReq(gateWidth, gateHeight, rowHeightPercentage, barThickness) {
return false;
}
const ironBarThickness = 10;
calculateTotalBarLengthReq(500, 500, 20, ironBarThickness);
答案应该是7021.59厘米。
我尝试计算所需的铁条总长度以创建一个大门。
英文:
Please help me to solve this problem,
Implement a javascript app that can calculate the total length of iron bars required to create a gate
. The gate will have an alternating design of empty rows and rows filled with circles (please note the design starts with an empty row from top). Design should be symmetrical. If a symmetrical design cannot be generated for given inputs, the programme should identify and show a message to the user.
Note:
Bar will have a thickness of 10cm;
Take this value into account when doing calculations.
Minimise the waste of bars as much as possible.
Inputs:
width and height of gate (in cm)
Max height percentage of each row (ex. If the gate height is 100cm and the max row height is 10%, then each row can be a max 10cm in height).
This is the code block.
function calculateTotalBarLengthReq(gateWidth, gateHeight, rowHeightPercentage, barThickness) {
return false;
}
const ironBarThickness = 10;
calculateTotalBarLengthReq(500, 500, 20, ironBarThickness);
The answer should be 7021.59cm.
I tried to calculate the total length of iron bars required to create a gate.
答案1
得分: 1
请应用以下逻辑并检查
function calculateTotalBarLengthReq(gateWidth, gateHeight, rowHeightPercentage, barThickness) {
// 计算垂直条(列)的长度
const verticalBarLength = gateHeight * 2;
// 计算每行的尺寸
const rowSize = gateHeight * rowHeightPercentage * 0.01;
// 计算水平条(行)的数量
const numOfHorizontalBars = (gateHeight / rowSize) + 1;
// 计算水平条的长度
const horizontalBarLength = (gateWidth - barThickness * 2) * numOfHorizontalBars;
// 计算行之间的间隙
const rowGap = (gateHeight - numOfHorizontalBars * barThickness) / (numOfHorizontalBars - 1);
// 计算每行中的圆的数量
const numOfCirclesInRow = gateWidth / rowGap; // 这可能不是自然数(浮点数值)
// const numOfCirclesInRow = Math.floor(gateWidth / rowGap); // 这将给出自然数(整数值)
// 计算具有圆的交替行的数量
const numOfRowsWithCircles = Math.floor((numOfHorizontalBars - 1) / 2);
// 计算总圆的数量
const totalNumOfCircles = numOfCirclesInRow * numOfRowsWithCircles;
// 计算每个圆的半径
const radius = rowGap / 2;
// 计算每个圆的周长
const circumference = 2 * radius * Math.PI;
// 计算所需的铁杆的总长度
const totalBarLength = verticalBarLength + horizontalBarLength + circumference * totalNumOfCircles;
return `总铁杆长度需求 = ${totalBarLength.toFixed(2)}厘米`;
}
const ironBarThickness = 10;
console.log(calculateTotalBarLengthReq(500, 500, 20, ironBarThickness));
console.log(calculateTotalBarLengthReq(100, 100, 20, ironBarThickness));
注意:根据您的示例,当计算以获取所需的输出 7021.59 时,每行中的圆的数量被视为不是自然数(这里是 5.68)。所以,如果您想要更改逻辑以将每行中的圆的数量视为自然数(即 5),这将给出输出 6644.60。然后,请使用注释掉的 numOfCirclesInRow
计算。
英文:
Please apply below logic and check
<!-- begin snippet: js hide: false console: true babel: false -->
<!-- language: lang-js -->
function calculateTotalBarLengthReq(gateWidth, gateHeight, rowHeightPercentage, barThickness) {
// Calculate the length of vertical bars (columns)
const verticalBarLength = gateHeight * 2;
// Calculate the size of each row
const rowSize = gateHeight * rowHeightPercentage * 0.01;
// Calculate the number of horizontal bars (rows)
const numOfHorizontalBars = (gateHeight / rowSize) + 1;
// Calculate the length of horizontal bars
const horizontalBarLength = (gateWidth - barThickness * 2) * numOfHorizontalBars;
// Calculate the gap between rows
const rowGap = (gateHeight - numOfHorizontalBars * barThickness) / (numOfHorizontalBars - 1);
// Calculate the number of circles in a row
const numOfCirclesInRow = gateWidth / rowGap; //this may not natural number (float value)
// const numOfCirclesInRow = Math.floor(gateWidth / rowGap); // this will give natural number (integer value)
// Calculate the number of alternate rows with circles
const numOfRowsWithCircles = Math.floor((numOfHorizontalBars - 1) / 2);
// Calculate the total number of circles
const totalNumOfCircles = numOfCirclesInRow * numOfRowsWithCircles;
// Calculate the radius of each circle
const radius = rowGap / 2;
// Calculate the circumference of each circle
const circumference = 2 * radius * Math.PI;
// Calculate the total length of iron bars required
const totalBarLength = verticalBarLength + horizontalBarLength + circumference * totalNumOfCircles;
return Total bar length requirement = ${totalBarLength.toFixed(2)}cm
;
}
const ironBarThickness = 10;
console.log(calculateTotalBarLengthReq(500, 500, 20, ironBarThickness));
console.log(calculateTotalBarLengthReq(100, 100, 20, ironBarThickness));
<!-- end snippet -->
Note: From your example, when calculating to get desired output 7021.59, number of circles in a row is not considered as a natural number (here it is 5.68). So, if you want to change the logic to take the number of circles in a row as natural number (that is 5) which gives output 6644.60. Then, take the commented calculation of numOfCirclesInRow
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