matriz.scala

import scala.tools.ant.sabbus.Break

object test {
  println("Welcome to the Scala worksheet")       //> Welcome to the Scala worksheet
  
  val vetorInverso = Map( 0 -> 0, 1 -> 5,  2 -> 4, 3 -> 3, 4 -> 2, 5 ->1   )
                                                  //> vetorInverso  : scala.collection.immutable.Map[Int,Int] = Map(0 -> 0, 5 -> 1
                                                  //| , 1 -> 5, 2 -> 4, 3 -> 3, 4 -> 2)
                                                  
  vetorInverso(3)                                 //> res0: Int = 3

  //val moduloTest = 5
  //for (x <- 0 to 15)
  //	println (s"$x % $moduloTest = " + x % moduloTest)
  
  case class Matriz(modulo: Int) {
    val maxi = modulo -1
    val maxj = maxi
    
    def realValor(i: Int, j:Int) = (i + j) % modulo
    
    def inversoMat(i: Int) = (modulo - i) % modulo
    
    def inversoDefault(i: Int): Int = {
        (0 to maxj).find( j => realValor(i,j) == 0).get
    }
    
    
  	def valor(i: Int, j: Int) = {
  		if (i < modulo && j < modulo)
  			realValor(i,j)
  		else
  			throw new Exception("i ou j nao permitido")
  	}
  	
  	def show() = {
  		for (i <- 0 to maxi) {
		  	for (j <- 0 to maxj) {
		  	   print("(" + i + "," + j + ")%=" + valor(i,j) + " | " )
		    }
		    println()
		  }
  	}
  
  }
  
  
  
  val minhaMatriz = Matriz(6)                     //> minhaMatriz  : test.Matriz = Matriz(6)
  
  minhaMatriz.show()                              //> (0,0)%=0 | (0,1)%=1 | (0,2)%=2 | (0,3)%=3 | (0,4)%=4 | (0,5)%=5 | 
                                                  //| (1,0)%=1 | (1,1)%=2 | (1,2)%=3 | (1,3)%=4 | (1,4)%=5 | (1,5)%=0 | 
                                                  //| (2,0)%=2 | (2,1)%=3 | (2,2)%=4 | (2,3)%=5 | (2,4)%=0 | (2,5)%=1 | 
                                                  //| (3,0)%=3 | (3,1)%=4 | (3,2)%=5 | (3,3)%=0 | (3,4)%=1 | (3,5)%=2 | 
                                                  //| (4,0)%=4 | (4,1)%=5 | (4,2)%=0 | (4,3)%=1 | (4,4)%=2 | (4,5)%=3 | 
                                                  //| (5,0)%=5 | (5,1)%=0 | (5,2)%=1 | (5,3)%=2 | (5,4)%=3 | (5,5)%=4 | 
   
   minhaMatriz.inversoMat(3)                      //> res1: Int = 3
   minhaMatriz.inversoDefault(3)                  //> res2: Int = 3
   
   //2 - 4
   
   //(i + j) % 5 = 0
  //(4,1)% 5 =0
  // -4 -> ????
  // i =4
  // (4 + j) % 5 = 0
   
   //j = (modulo - i) % modulo
   
   //inverso(i) = j = (5 - i) % 5
   
  //  j % 5 = -4

   
}