Scala 语言学习
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。
import io.StdIn._ object lab2{ def main(args:Array[String]){ var Sn:Float = 0 var n:Float = 1 println("Input a number for q:") var q = readInt() while(Sn < q) { Sn += (n+1)/n n += 1 } println(s"Sn = $Sn") } }
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。 abstract class Shape extends Drawable{ def moveTo(point:Point) def zoom(multiple:Double) def draw() } class Line(var point1:Point,var point2:Point) extends Shape{ def zoom(multiple:Double){ val x = (point1.x + point2.x)/2 val y = (point1.y + point2.y)/2 point1.x = (point1.x - x)*multiple point1.y = (point1.y - y)*multiple point2.x = (point2.x - x)*multiple point2.y = (point2.y - y)*multiple } def moveTo(point:Point){ val changex = point1.x-point.x val changey = point1.y-point.y point1.x = point.x point2.y = point.y point2.x = point2.x - changex point2.y = point2.y - changey } override def draw(){ println("Line:("+point1.x+","+point1.y+")--("+point2.x+","+point2.y+")") } } class Circle(var point:Point,var R:Double) extends Shape{ def zoom(multiple:Double){ R = R*multiple } def moveTo(point:Point){ this.point.x = point.x this.point.y = point.y } override def draw(){ println("Circle center:("+point.x+","+point.y+"),R="+R) } } 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 } }
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
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:
import scala.collection.mutable.ArrayBuffer object test3 { 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)" }