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// RUN: %dafny /compile:0 /print:"%t.print" /dprint:"%t.dprint" "%s" > "%t"
// RUN: %diff "%s.expect" "%t"
method R1(ghost x: real, ghost y: real, i: int) {
assert x + y == y + x;
assert int(real(i)) == i;
assert real(x.Trunc) <= x;
if {
case real(x.Trunc) >= x =>
assert x.Trunc == int(x); // the cast to int is allowed here
case true =>
var t := int(x); // error: x may be a non-integer
case true =>
assert real(x.Trunc) >= x; // error
}
}
method R2(ghost x: real, ghost y: real) {
assert x * x >= real(0);
assert y != real(0) ==> x / y * y == x;
assert x / y * y == x; // error(s)
}
// Check that literals are handled properly
method R3() {
ghost var x := 000_00_0_1.5_0_0_00_000_0; // 1.5
ghost var y := real(000_000_003); // 3
assert x == y / 2.000_000_0;
assert x == y / 2.000_000_000_000_000_000_000_000_001; // error
}
// Check that real value in decreases clause doesn't scare Dafny
function R4(x:int, r:real) : int
{
if x < 0 then 5
else R4(x - 1, r)
}
method RoundingDirection()
{
assert 51.500277.Trunc == 51;
assert (-0.194771).Trunc == -1;
assert -0.194771.Trunc == 0;
}
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