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module test {
def size = 2;
def pi = 3.14159;
def radius = 10;
def circumference = 2 * pi * radius;
def square(x: Double) = x * x;
def sumOfSquares(x: Double, y: Double) = square(x) + square(y);
def loop: Int = loop;
def first(x: Int, y: Int) = x;
def constOne(x: Int, def y: Int) = 1;
def abs(x: Double) = if (x >= 0) x else -x;
def sqrtIter0(guess: Double, x: Double): Double =
if (isGoodEnough0(guess, x)) guess
else sqrtIter0(improve0(guess, x), x);
def improve0(guess: Double, x: Double) =
(guess + x / guess) / 2;
def isGoodEnough0(guess: Double, x: Double) =
abs(square(guess) - x) < 0.001;
def sqrt0(x: Double) = sqrtIter0(1.0, x);
def sqrt1(x: Double) = {
def sqrtIter1(guess: Double, x: Double): Double =
if (isGoodEnough1(guess, x)) guess
else sqrtIter1(improve1(guess, x), x);
def improve1(guess: Double, x: Double) =
(guess + x / guess) / 2;
def isGoodEnough1(guess: Double, x: Double) =
abs(square(guess) - x) < 0.001;
sqrtIter1(1.0, x);
}
def sqrt2(x: Double) = {
def sqrtIter2(guess: Double): Double =
if (isGoodEnough2(guess)) guess
else sqrtIter2(improve2(guess));
def improve2(guess: Double) =
(guess + x / guess) / 2;
def isGoodEnough2(guess: Double) =
abs(square(guess) - x) < 0.001;
sqrtIter2(1.0);
}
sqrt0(2);
sqrt1(2);
sqrt2(2);
}
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