1. 计算级数
请用脚本的方式编程计算并输出下列级数的前 n 项之和 Sn,直到 Sn 刚好大于或等于 q为止,其中q 为大于 0 的整数,其值通过键盘输入。
例如, 若 q 的值为 50.0 , 则输出应为: Sn=50.416695 。 请将源文件保存为 exercise2-1.scala,在REPL 模式下测试运行,测试样例:q=1 时,Sn=2;q=30 时,Sn=30.891459; q=50 时,Sn=50.416695。
cd /usr/local/scala #转到scala目录下(以将scala装到了/usr/local 目录下为例)
sudo mkdir mycode #新建mycode目录
cd mycode #转到新建目录下
sudo chmod -R 777 /usr/local/scala/mycode #777权限是用户对相对应的文件进行写入读取和其他操作的权限,7就是表示所有的权限
vim test2.scala
#写入如下代码后,保存并退出vim编辑器:
-----------------------------------------------------
import scala.io.StdIn
object test2
{
def main(args: Array[String])
{
var Sum=0.0
println("请输入n")
var n:Long=StdIn.readLine().toLong
var i=1.0
while(Sum<n)
{
var mid=(i+i)/i
Sum=Sum+(i+1)/i
i=i+1
}
println("**************************")
println("计算级数为:",Sum)
}
}
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#最后编译运行,即可得出结果:
scalac test2.scala #编译
scala -classpath . test2 # 其中 "." 后面的test2是代码中 object 后面的类名
2. 模拟图形绘制
对于一个图形绘制程序,用下面的层次对各种实体进行抽象。定义一个 Drawable 的特质,其包括一个 draw 方法,默认实现为输出对象的字符串表示。定义一个 Point 类表示点,其混入了 Drawable 特质,并包含一个 shift 方法,用于移动点。所有图形实体的抽象类为Shape,其构造函数包括一个 Point 类型,表示图形的具体位置(具体意义对不同的具体图形不一样)。Shape 类有一个具体方法 moveTo 和一个抽象方法 zoom,其中 moveTo 将图形从当前位置移动到新的位置, 各种具体图形的 moveTo 可能会有不一样的地方。zoom 方法实现对图形的放缩,接受一个浮点型的放缩倍数参数,不同具体图形放缩实现不一样。继承 Shape 类的具体图形类型包括直线类Line 和圆类 Circle。Line 类的第一个参数表示其位置,第二个参数表示另一个端点,Line 放缩的时候,其中点位置不变,长度按倍数放缩(注意,缩放时,其两个端点信息也改变了),另外,Line 的 move 行为影响了另一个端点,需要对 move 方法进行重载。Circle 类第一个参数表示其圆心,也是其位置,另一个参数表示其半径,Circle 缩放的时候,位置参数不变,半径按倍数缩放。另外直线类 Line 和圆类 Circle都混入了 Drawable 特质,要求对 draw 进行重载实现,其中类 Line 的 draw 输出的信息样式为“Line:第一个端点的坐标--第二个端点的坐标)”,类 Circle 的 draw 输出的信息样式为 “Circle center:圆心坐标,R=半径”。如下的代码已经给出了 Drawable 和Point 的定义,同时也给出了程序入口 main 函数的实现,请完成 Shape 类、Line 类和 Circle 类的定义。
case class Point(var x:Double,var y:Double) extends Drawable{ def shift(deltaX:Double,deltaY:Double){x+=deltaX;y+=deltaY}
}
trait Drawable{
def draw(){println(this.toString)}
}
// 请完成 Shape 类、Line 类和 Circle 类的定义。
object MyDraw{
def main(args: Array[String]) { val p=new Point(10,30)
p.draw;
val line1 = new Line(Point(0,0),Point(20,20)) line1.draw
line1.moveTo(Point(5,5)) //移动到一个新的点
line1.draw line1.zoom(2) //放大两倍 line1.draw
val cir= new Circle(Point(10,10),5) cir.draw
cir.moveTo(Point(30,20)) cir.draw
cir.zoom(0.5) cir.draw
}
编译运行程序,期望的输出结果如下:
Point(10.0,30.0) Line:(0.0,0.0)--(20.0,20.0)
Line:(5.0,5.0)--(25.0,25.0)
Line:(-5.0,-5.0)--(35.0,35.0)
Circle center:(10.0,10.0),R=5.0
Circle center:(30.0,20.0),R=5.0
Circle center:(30.0,20.0),R=2.5
vim test3.scala #新建文件
#写入如下代码,保存并退出vim编辑器:
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case class Point(var x:Double ,var y:Double) extends Drawable{
def shift(X:Double ,Y:Double){
x += X
y += Y
}
}
trait Drawable{
def draw(){println(this.toString)}
}
abstract class Shape(var location:Point)//location是shape的一个可变字段
{
def moveTo(newLocation:Point)
{
location = newLocation
}
def zoom(scale:Double)
}
class Line(beginPoint:Point,var endPoint:Point)extends Shape(beginPoint) with Drawable{
override def draw()
{
println(s"Line:(${location.x},${location.y}--(${endPoint.x},${endPoint.y})")
}
override def moveTo(newLocation:Point)
{
endPoint.shift(newLocation.x-location.x,newLocation.y-location.y)
location = newLocation
}
override def zoom(scale:Double)
{
val midPoint=Point((endPoint.x+location.x)/2,(endPoint.y+location.y)/2)
location.x=midPoint.x+scale*(location.x-midPoint.x)
location.y=midPoint.y+scale*(location.y-midPoint.y)
endPoint.x=midPoint.x+scale*(endPoint.x-midPoint.x)
endPoint.y=midPoint.y+scale*(endPoint.y-midPoint.y)
}
}
class Circle(center:Point,var radius:Double)extends Shape(center) with Drawable
{
override def draw()
{
println(s"Circle center:(${location.x},${location.y}),R=$radius")
}
override def zoom(scale :Double)
{
radius = radius*scale
}
}
object test3
{
def main(args:Array[String])
{
val p = new Point(10,30)
p.draw
val line1 = new Line(Point(0,0),Point(20,20))
line1.draw
line1.moveTo(Point(5,5))
line1.draw
line1.zoom(2)
line1.draw
val circle = new Circle(Point(10,10),5)
circle.draw
circle.moveTo(Point(30,20))
circle.draw
circle.zoom(0.5)
circle.draw
}
}
---------------------------------------------------
#编译并运行:
scalac test3.scala #编译
scala -classpath . test3 # 其中 "." 后面的test2是代码中 object 后面的类名
3. 统计学生成绩
学生的成绩清单格式如下所示,第一行为表头,各字段意思分别为学号、性别、课程名 1、课程名 2 等,后面每一行代表一个学生的信息,各字段之间用空白符隔开
Id |
gender |
Math |
English |
Physics |
301610 |
male |
80 |
64 |
78 |
301611 |
female |
65 |
87 |
58 |
... |
|
|
|
|
给定任何一个如上格式的清单(不同清单里课程数量可能不一样),要求尽可能采用函数式编程,统计出各门课程的平均成绩,最低成绩,和最高成绩;另外还需按男女同学分开,分别统计各门课程的平均成绩,最低成绩,和最高成绩。
测试样例 1 如下:
Id |
gender |
Math |
English |
Physics |
301610 |
male |
80 |
64 |
78 |
301611 |
female |
65 |
87 |
58 |
301612 |
female |
44 |
71 |
77 |
301613 |
female |
66 |
71 |
91 |
301614 |
female |
70 |
71 |
100 |
301615 |
male |
72 |
77 |
72 |
301616 |
female |
73 |
81 |
75 |
301617 |
female |
69 |
77 |
75 |
301618 |
male |
73 |
61 |
65 |
301619 |
male |
74 |
69 |
68 |
301620 |
male |
76 |
62 |
76 |
301621 |
male |
73 |
69 |
91 |
301622 |
male |
55 |
69 |
61 |
301623 |
male |
50 |
58 |
75 |
301624 |
female |
63 |
83 |
93 |
301625 |
male |
72 |
54 |
100 |
301626 |
male |
76 |
66 |
73 |
301627 |
male |
82 |
87 |
79 |
301628 |
female |
62 |
80 |
54 |
301629 |
male |
89 |
77 |
72 |
样例 1 的统计结果输出为:
course |
average |
min |
max |
Math: |
69.20 |
44.00 |
89.00 |
English: |
71.70 |
54.00 |
87.00 |
Physics: |
76.65 |
54.00 |
100.00 |
course |
average |
min |
max (males) |
Math: |
72.67 |
50.00 |
89.00 |
English: |
67.75 |
54.00 |
87.00 |
Physics: |
75.83 |
61.00 |
100.00 |
course |
average |
min |
max (females) |
Math: |
64.00 |
44.00 |
73.00 |
English: |
77.63 |
71.00 |
87.00 |
Physics: |
77.88 |
54.00 |
100.00 |
vim test4.scala #新建文件
#写入如下代码,保存并退出vim编辑器:
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import scala.collection.mutable.ArrayBuffer
object test4 {
def main(args: Array[String]): Unit = {
var students:ArrayBuffer[Student] = new ArrayBuffer[Student]()
students.append(new Student(301610, "male", 80, 64, 78))
students.append(new Student(301611, "female", 65, 87, 58))
students.append(new Student(301612, "female", 44, 71, 77))
students.append(new Student(301613, "female", 66, 71, 91))
students.append(new Student(301614, "female", 70, 71, 100))
students.append(new Student(301615, "male", 72, 77, 72))
students.append(new Student(301616, "female", 73, 81, 75))
students.append(new Student(301617, "female", 69, 77, 75))
students.append(new Student(301618, "male", 73, 61, 65))
students.append(new Student(301619, "male", 74, 69, 68))
students.append(new Student(301620, "male", 76, 62, 76))
students.append(new Student(301621, "male", 73, 69, 91))
students.append(new Student(301622, "male", 55, 69, 61))
students.append(new Student(301623, "male", 50, 58, 75))
students.append(new Student(301624, "female", 63, 83, 93))
students.append(new Student(301625, "male", 72, 54, 100))
students.append(new Student(301626, "male", 76, 66, 73))
students.append(new Student(301627, "male", 82, 87, 79))
students.append(new Student(301628, "female", 62, 80, 54))
students.append(new Student(301629, "male", 89, 77, 72))
println(students.length)
println(students(1).toString)
getData(students)
getDataMale(students)
getDataFeMale(students)
}
def getData(value: ArrayBuffer[Student]): Unit ={
var Mathaverage:Double=0;
var MathSum:Double = 0;
var MathMin:Double = value(0).Math;
var MathMax:Double = 0;
var Englishaverage:Double=0;
var EnglishSum:Double = 0;
var EnglishMin:Double = value(0).English;
var EnglishMax:Double = 0;
var Physicsaverage:Double=0;
var PhysicsSum:Double = 0;
var PhysicsMin:Double = value(0).Physics;
var PhysicsMax:Double = 0;
var number = value.length;
for (i <- 0 until value.length){
//三科总数
MathSum = value(i).Math+MathSum
EnglishSum = value(i).English+EnglishSum
PhysicsSum = value(i).Physics+PhysicsSum
//最大和最小
if(value(i).Math>MathMax){
MathMax=value(i).Math;
}
if(value(i).English>EnglishMax){
EnglishMax=value(i).English;
}
if(value(i).Physics>PhysicsMax){
PhysicsMax=value(i).Physics;
}
if(value(i).Math<MathMin){
MathMin=value(i).Math;
}
if(value(i).English<EnglishMin){
EnglishMin=value(i).English;
}
if(value(i).Physics<PhysicsMin){
PhysicsMin=value(i).Physics;
}
}
//平均值
Mathaverage=MathSum/number
Englishaverage=EnglishSum/number
Physicsaverage=PhysicsSum/number
println("course\t average\t min\t max \t")
println("Math:\t "+Mathaverage+"\t\t"+MathMin+"\t "+MathMax)
println("English:\t"+Englishaverage+"\t"+EnglishMin+"\t "+EnglishMax)
println("Physics:\t"+Physicsaverage+"\t"+PhysicsMin+"\t "+PhysicsMax)
}
def getDataMale(value: ArrayBuffer[Student]): Unit = {
var Mathaverage: Double = 0;
var MathSum: Double = 0;
var MathMin: Double = value(0).Math;
var MathMax: Double = 0;
var Englishaverage: Double = 0;
var EnglishSum: Double = 0;
var EnglishMin: Double = value(0).English;
var EnglishMax: Double = 0;
var Physicsaverage: Double = 0;
var PhysicsSum: Double = 0;
var PhysicsMin: Double = value(0).Physics;
var PhysicsMax: Double = 0;
var number = 0;
for (i <- 0 until value.length) {
if (value(i).gender.equals("male")) {
number = number + 1
//三科总数
MathSum = value(i).Math + MathSum
EnglishSum = value(i).English + EnglishSum
PhysicsSum = value(i).Physics + PhysicsSum
//最大和最小
if (value(i).Math > MathMax) {
MathMax = value(i).Math;
}
if (value(i).English > EnglishMax) {
EnglishMax = value(i).English;
}
if (value(i).Physics > PhysicsMax) {
PhysicsMax = value(i).Physics;
}
if (value(i).Math < MathMin) {
MathMin = value(i).Math;
}
if (value(i).English < EnglishMin) {
EnglishMin = value(i).English;
}
if (value(i).Physics < PhysicsMin) {
PhysicsMin = value(i).Physics;
}
}
}
//平均值
Mathaverage=MathSum/number
Englishaverage=EnglishSum/number
Physicsaverage=PhysicsSum/number
println("course\t average\t min\t max \t(Male)")
Mathaverage=Mathaverage.toInt
Englishaverage=Englishaverage.toInt
Physicsaverage=Physicsaverage.toInt
println("Math:\t "+Mathaverage+"\t\t"+MathMin+"\t "+MathMax)
println("English:\t "+Englishaverage+"\t\t"+EnglishMin+"\t "+EnglishMax)
println("Physics:\t "+Physicsaverage+"\t\t"+PhysicsMin+"\t "+PhysicsMax)
}
def getDataFeMale(value: ArrayBuffer[Student]): Unit ={
var Mathaverage:Double=0;
var MathSum:Double = 0;
var MathMin:Double = value(1).Math;
var MathMax:Double = 0;
var Englishaverage:Double=0;
var EnglishSum:Double = 0;
var EnglishMin:Double = value(1).English;
var EnglishMax:Double = 0;
var Physicsaverage:Double=0;
var PhysicsSum:Double = 0;
var PhysicsMin:Double = value(1).Physics;
var PhysicsMax:Double = 0;
var number = 0;
for (i <- 0 until value.length){
if(value(i).gender.equals("female")){
number=number+1
//三科总数
MathSum = value(i).Math+MathSum
EnglishSum = value(i).English+EnglishSum
PhysicsSum = value(i).Physics+PhysicsSum
//最大和最小
if(value(i).Math>MathMax){
MathMax=value(i).Math;
}
if(value(i).English>EnglishMax){
EnglishMax=value(i).English;
}
if(value(i).Physics>PhysicsMax){
PhysicsMax=value(i).Physics;
}
if(value(i).Math<MathMin){
MathMin=value(i).Math;
}
if(value(i).English<EnglishMin){
EnglishMin=value(i).English;
}
if(value(i).Physics<PhysicsMin){
PhysicsMin=value(i).Physics;
}
}
}
//平均值
Mathaverage=MathSum/number
Englishaverage=EnglishSum/number
Physicsaverage=PhysicsSum/number
println("course\t average\t min\t max \t(FeMale)")
Mathaverage=Mathaverage.toInt
Englishaverage=Englishaverage.toInt
Physicsaverage=Physicsaverage.toInt
println("Math:\t "+Mathaverage+"\t\t"+MathMin+"\t "+MathMax)
println("English:\t "+Englishaverage+"\t\t"+EnglishMin+"\t "+EnglishMax)
println("Physics:\t "+Physicsaverage+"\t\t"+PhysicsMin+"\t "+PhysicsMax)
}
}
class Student(id1:Int,gender1:String,Math1:Double,English1:Double,Physics1:Double){
var id:Int = id1
var gender:String = gender1
var Math:Double = Math1
var English:Double = English1
var Physics:Double = Physics1
override def toString = s"Student($id, $gender, $Math, $English, $Physics)"
}
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#编译并运行:
scalac test4.scala #编译
scala -classpath . test4 # 其中 "." 后面的test2是代码中 object 后面的类名