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//############################################################################
// Programmation IV - 2002 - Week 09
//############################################################################
// $Id$
trait Option[a];
case class Some[a](value: a) extends Option[a];
case class None[a]() extends Option[a];
trait Constraint {
def newValue: Unit;
def dropValue: Unit
}
module NoConstraint extends Constraint {
def newValue: Unit = error("NoConstraint.newValue");
def dropValue: Unit = error("NoConstraint.dropValue");
}
class Adder(a1: Quantity,a2: Quantity,sum: Quantity) extends Constraint {
def newValue = Triple(a1.getValue, a2.getValue, sum.getValue) match {
case Triple(Some(x1), Some(x2), _ ) => sum.setValue(x1 + x2, this)
case Triple(Some(x1), _ , Some(r)) => a2.setValue(r - x1, this)
case Triple(_ , Some(x2), Some(r)) => a1.setValue(r - x2, this)
case _ =>
}
def dropValue: Unit = {
a1.forgetValue(this); a2.forgetValue(this); sum.forgetValue(this);
}
a1 connect this;
a2 connect this;
sum connect this;
}
class Multiplier(m1: Quantity, m2: Quantity, prod: Quantity)
extends Constraint {
def newValue = Triple(m1.getValue, m2.getValue, prod.getValue) match {
case Triple(Some( 0), _ , _ ) => prod.setValue(0, this);
case Triple(_ , Some( 0), _ ) => prod.setValue(0, this);
case Triple(Some(x1), Some(x2), _ ) => prod.setValue(x1 * x2, this)
case Triple(Some(x1), _ , Some(r)) => m2.setValue(r / x1, this)
case Triple(_, Some(x2), Some(r)) => m1.setValue(r / x2, this)
case _ =>
}
def dropValue: Unit = {
m1.forgetValue(this); m2.forgetValue(this); prod.forgetValue(this);
}
m1 connect this;
m2 connect this;
prod connect this;
}
class Squarer(square: Quantity, root: Quantity) extends Constraint {
def newValue: Unit = Pair(square.getValue, root.getValue) match {
case Pair(Some(x), _ )if (x < 0) => error("Square of negative number")
case Pair(Some(x), _ ) => root.setValue(Math.sqrt(x), this)
case Pair(_ , Some(x)) => square.setValue(x*x, this)
case _ =>
}
def dropValue: Unit = {
square.forgetValue(this); root.forgetValue(this);
}
square connect this;
root connect this;
}
class Eq(a: Quantity, b: Quantity) extends Constraint {
def newValue = Pair(a.getValue, b.getValue) match {
case Pair(Some(x), _ ) => b.setValue(x, this);
case Pair(_ , Some(y)) => a.setValue(y, this);
}
def dropValue: Unit = {
a.forgetValue(this); b.forgetValue(this);
}
a connect this;
b connect this;
}
class Constant(q: Quantity, v: double) extends Constraint {
def newValue: Unit = error("Constant.newValue");
def dropValue: Unit = error("Constant.dropValue");
q connect this;
q.setValue(v, this);
}
class Probe(name: String, q: Quantity) extends Constraint {
def newValue: Unit = printProbe(q.getValue);
def dropValue: Unit = printProbe(None());
private def printProbe(v: Option[double]): Unit = {
val vstr = v match {
case Some(x) => x.toString()
case None() => "?"
}
System.out.println("Probe: " + name + " = " + vstr);
}
q connect this
}
class Quantity() {
private var value: Option[double] = None();
private var constraints: List[Constraint] = List();
private var informant: Constraint = null;
def getValue: Option[double] = value;
def setValue(v: double, setter: Constraint) = value match {
case Some(v1) =>
if (v != v1) error("Error! contradiction: " + v + " and " + v1);
case None() =>
informant = setter; value = Some(v);
for (val c <- constraints; !(c == informant)) do {
c.newValue;
}
}
def setValue(v: double): Unit = setValue(v, NoConstraint);
def forgetValue(retractor: Constraint): Unit = {
if (retractor == informant) {
value = None();
for (val c <- constraints; !(c == informant)) do c.dropValue;
}
}
def forgetValue: Unit = forgetValue(NoConstraint);
def connect(c: Constraint) = {
constraints = c :: constraints;
value match {
case Some(_) => c.newValue
case None() =>
}
}
def +(that: Quantity): Quantity = {
val sum = new Quantity();
new Adder(this, that, sum);
sum;
}
def *(that: Quantity): Quantity = {
val prod = new Quantity();
new Multiplier(this, that, prod);
prod;
}
def square: Quantity = {
val square = new Quantity();
new Squarer(square, this);
square;
}
def sqrt: Quantity = {
val root = new Quantity();
new Squarer(this, root);
root;
}
def ===(that: Quantity): Constraint = {
new Eq(this, that);
}
override def toString(): String = value match {
case None() => " ?"
case Some(v) => v.toString()
}
def str: String = toString();
}
//############################################################################
module M0 {
def CFconverter(c: Quantity, f: Quantity) = {
val u = new Quantity();
val v = new Quantity();
val w = new Quantity();
val x = new Quantity();
val y = new Quantity();
new Multiplier(c, w, u);
new Multiplier(v, x, u);
new Adder(v, y, f);
new Constant(w, 9);
new Constant(x, 5);
new Constant(y, 32);
}
def test = {
val c = new Quantity(); new Probe("c", c);
val f = new Quantity(); new Probe("f", f);
CFconverter(c, f);
c.setValue(0);
c.forgetValue;
System.out.println();
c.setValue(100);
c.forgetValue;
System.out.println();
f.setValue(32);
f.forgetValue;
System.out.println();
f.setValue(212);
f.forgetValue;
System.out.println();
}
}
//############################################################################
module M1 {
def constant(x: double): Quantity = {
val q = new Quantity();
new Constant(q, x);
q
}
def CFconverter(c: Quantity, f: Quantity) = {
val v = new Quantity();
constant(9) * c === constant(5) * v;
v + constant(32) === f;
}
def show_c2f(c: Quantity, f: Quantity, v: int) = {
c.setValue(v);
System.out.println(c.str + " Celsius -> " + f.str + " Fahrenheits");
c.forgetValue;
}
def show_f2c(c: Quantity, f: Quantity, v: int) = {
f.setValue(v);
System.out.println(f.str + " Fahrenheits -> " + c.str + " Celsius");
f.forgetValue;
}
def test = {
val c = new Quantity();
val f = new Quantity();
CFconverter(c, f);
show_c2f(c, f, 0);
show_c2f(c, f, 100);
show_f2c(c, f, 32);
show_f2c(c, f, 212);
System.out.println();
}
}
//############################################################################
module M2 {
val a = new Quantity();
val b = new Quantity();
val c = a * b;
def set(q: Quantity, o: Option[int]): String = {
o match {
case None() => "?"
case Some(v) => q.setValue(v); v.toString()
};
}
def show(x: Option[int], y: Option[int], z: Option[int]) = {
System.out.print("a = " +set(a,x)+ ", b = " +set(b,y)+ ", c = " +set(c,z));
System.out.println(" => " + a.str + " * " + b.str + " = " + c.str);
a.forgetValue; b.forgetValue; c.forgetValue;
}
def test = {
show(None() , None() , None() );
show(Some(2), None() , None() );
show(None() , Some(3), None() );
show(None() , None() , Some(6));
show(Some(2), Some(3), None() );
show(Some(2), None() , Some(6));
show(None() , Some(3), Some(6));
show(Some(2), Some(3), Some(6));
System.out.println();
show(Some(0), None() , None() );
show(None() , Some(0), None() );
show(None() , None() , Some(0));
show(Some(0), Some(7), None() );
show(Some(7), Some(0), None() );
show(Some(0), Some(0), None() );
show(Some(0), None() , Some(0));
show(None() , Some(0), Some(0));
show(Some(0), Some(7), Some(0));
show(Some(7), Some(0), Some(0));
show(Some(0), Some(0), Some(0));
System.out.println();
}
}
//############################################################################
module M3 {
def test = {
val a = new Quantity();
val b = new Quantity();
val c = new Quantity();
c === (a.square + b.square).sqrt;
a.setValue(3); b.setValue(4);
System.out.println("a = 3, b = 4 => c = " + c.str);
a.forgetValue; b.forgetValue;
a.setValue(3); c.setValue(5);
System.out.println("a = 3, c = 5 => b = " + b.str);
a.forgetValue; c.forgetValue;
b.setValue(4); c.setValue(5);
System.out.println("b = 4, c = 5 => a = " + a.str);
b.forgetValue; c.forgetValue;
System.out.println();
}
}
//############################################################################
module Test {
def main(args: Array[String]): Unit = {
M0.test;
M1.test;
M2.test;
M3.test;
()
}
}
//############################################################################
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