Module:Rational: Difference between revisions

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@@ Line 153: / Line 153: @@
 function p.sub(a, b)
 	return p.add(a, p.mul(b, -1))
+end
+-- determine whether a rational number is less than another; integers are also allowed
+function p.lt(a, b)
+	local c = p.sub(a, b)
+	if c.zero then
+		return false
+	else
+		return c.sign == -1
+	end
+end
+-- determine whether a rational number is less or equal to the other; integers are also allowed
+function p.leq(a, b)
+	local c = p.sub(a, b)
+	if c.zero then
+		return true
+	else
+		return c.sign == -1
+	end
+end
+-- determine whether a rational number is greater than another; integers are also allowed
+function p.gt(a, b)
+	local c = p.sub(a, b)
+	if c.zero then
+		return false
+	else
+		return c.sign == 1
+	end
+end
+-- determine whether a rational number is greater or equal to the other; integers are also allowed
+function p.geq(a, b)
+	local c = p.sub(a, b)
+	if c.zero then
+		return true
+	else
+		return c.sign == 1
+	end
+end
+-- determine whether a rational number is equal to another; integers are also allowed
+function p.eq(a, b)
+	local c = p.sub(a, b)
+	return c.zero
 end