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// SPDX-License-Identifier: Apache-2.0
package firrtlTests.constraint
import firrtl.constraint._
import firrtl.ir.Closed
import org.scalatest.flatspec.AnyFlatSpec
import org.scalatest.matchers.should.Matchers
class InequalitySpec extends AnyFlatSpec with Matchers {
behavior.of("Constraints")
"IsConstraints" should "reduce properly" in {
IsMin(Closed(0), Closed(1)) should be(Closed(0))
IsMin(Closed(-1), Closed(1)) should be(Closed(-1))
IsMax(Closed(-1), Closed(1)) should be(Closed(1))
IsNeg(IsMul(Closed(-1), Closed(-2))) should be(Closed(-2))
val x = IsMin(IsMul(Closed(1), VarCon("a")), Closed(2))
x.children.toSet should be(IsMin(Closed(2), IsMul(Closed(1), VarCon("a"))).children.toSet)
}
"IsAdd" should "reduce properly" in {
// All constants
IsAdd(Closed(-1), Closed(1)) should be(Closed(0))
// Pull Out IsMax
IsAdd(Closed(1), IsMax(Closed(1), VarCon("a"))) should be(IsMax(Closed(2), IsAdd(VarCon("a"), Closed(1))))
IsAdd(Closed(1), IsMax(Seq(Closed(1), VarCon("a"), VarCon("b")))) should be(
IsMax(Seq(Closed(2), IsAdd(VarCon("a"), Closed(1)), IsAdd(VarCon("b"), Closed(1))))
)
// Pull Out IsMin
IsAdd(Closed(1), IsMin(Closed(1), VarCon("a"))) should be(IsMin(Closed(2), IsAdd(VarCon("a"), Closed(1))))
IsAdd(Closed(1), IsMin(Seq(Closed(1), VarCon("a"), VarCon("b")))) should be(
IsMin(Seq(Closed(2), IsAdd(VarCon("a"), Closed(1)), IsAdd(VarCon("b"), Closed(1))))
)
// Add Zero
IsAdd(Closed(0), VarCon("a")) should be(VarCon("a"))
// One argument
IsAdd(Seq(VarCon("a"))) should be(VarCon("a"))
}
"IsMax" should "reduce properly" in {
// All constants
IsMax(Closed(-1), Closed(1)) should be(Closed(1))
// Flatten nested IsMax
IsMax(Closed(1), IsMax(Closed(1), VarCon("a"))) should be(IsMax(Closed(1), VarCon("a")))
IsMax(Closed(1), IsMax(Seq(Closed(1), VarCon("a"), VarCon("b")))) should be(
IsMax(Seq(Closed(1), VarCon("a"), VarCon("b")))
)
// Eliminate IsMins if possible
IsMax(Closed(2), IsMin(Closed(1), VarCon("a"))) should be(Closed(2))
IsMax(
Seq(
Closed(2),
IsMin(Closed(1), VarCon("a")),
IsMin(Closed(3), VarCon("b"))
)
) should be(
IsMax(
Seq(
Closed(2),
IsMin(Closed(3), VarCon("b"))
)
)
)
// One argument
IsMax(Seq(VarCon("a"))) should be(VarCon("a"))
IsMax(Seq(Closed(0))) should be(Closed(0))
IsMax(Seq(IsMin(VarCon("a"), Closed(0)))) should be(IsMin(VarCon("a"), Closed(0)))
}
"IsMin" should "reduce properly" in {
// All constants
IsMin(Closed(-1), Closed(1)) should be(Closed(-1))
// Flatten nested IsMin
IsMin(Closed(1), IsMin(Closed(1), VarCon("a"))) should be(IsMin(Closed(1), VarCon("a")))
IsMin(Closed(1), IsMin(Seq(Closed(1), VarCon("a"), VarCon("b")))) should be(
IsMin(Seq(Closed(1), VarCon("a"), VarCon("b")))
)
// Eliminate IsMaxs if possible
IsMin(Closed(1), IsMax(Closed(2), VarCon("a"))) should be(Closed(1))
IsMin(
Seq(
Closed(2),
IsMax(Closed(1), VarCon("a")),
IsMax(Closed(3), VarCon("b"))
)
) should be(
IsMin(
Seq(
Closed(2),
IsMax(Closed(1), VarCon("a"))
)
)
)
// One argument
IsMin(Seq(VarCon("a"))) should be(VarCon("a"))
IsMin(Seq(Closed(0))) should be(Closed(0))
IsMin(Seq(IsMax(VarCon("a"), Closed(0)))) should be(IsMax(VarCon("a"), Closed(0)))
}
"IsMul" should "reduce properly" in {
// All constants
IsMul(Closed(2), Closed(3)) should be(Closed(6))
// Pull out max, if positive stays max
IsMul(Closed(2), IsMax(Closed(3), VarCon("a"))) should be(
IsMax(Closed(6), IsMul(Closed(2), VarCon("a")))
)
// Pull out max, if negative is min
IsMul(Closed(-2), IsMax(Closed(3), VarCon("a"))) should be(
IsMin(Closed(-6), IsMul(Closed(-2), VarCon("a")))
)
// Pull out min, if positive stays min
IsMul(Closed(2), IsMin(Closed(3), VarCon("a"))) should be(
IsMin(Closed(6), IsMul(Closed(2), VarCon("a")))
)
// Pull out min, if negative is max
IsMul(Closed(-2), IsMin(Closed(3), VarCon("a"))) should be(
IsMax(Closed(-6), IsMul(Closed(-2), VarCon("a")))
)
// Times zero
IsMul(Closed(0), VarCon("x")) should be(Closed(0))
// Times 1
IsMul(Closed(1), VarCon("x")) should be(VarCon("x"))
// One argument
IsMul(Seq(Closed(0))) should be(Closed(0))
IsMul(Seq(VarCon("a"))) should be(VarCon("a"))
// No optimizations
val isMax = IsMax(VarCon("x"), VarCon("y"))
val isMin = IsMin(VarCon("x"), VarCon("y"))
val a = VarCon("a")
IsMul(a, isMax).children should be(Vector(a, isMax)) //non-known multiply
IsMul(a, isMin).children should be(Vector(a, isMin)) //non-known multiply
IsMul(Seq(Closed(2), isMin, isMin)).children should be(Vector(Closed(2), isMin, isMin)) //>1 min
IsMul(Seq(Closed(2), isMax, isMax)).children should be(Vector(Closed(2), isMax, isMax)) //>1 max
IsMul(Seq(Closed(2), isMin, isMax)).children should be(Vector(Closed(2), isMin, isMax)) //mixed min/max
}
"IsNeg" should "reduce properly" in {
// All constants
IsNeg(Closed(1)) should be(Closed(-1))
// Pull out max
IsNeg(IsMax(Closed(1), VarCon("a"))) should be(IsMin(Closed(-1), IsNeg(VarCon("a"))))
// Pull out min
IsNeg(IsMin(Closed(1), VarCon("a"))) should be(IsMax(Closed(-1), IsNeg(VarCon("a"))))
// Pull out add
IsNeg(IsAdd(Closed(1), VarCon("a"))) should be(IsAdd(Closed(-1), IsNeg(VarCon("a"))))
// Pull out mul
IsNeg(IsMul(Closed(2), VarCon("a"))) should be(IsMul(Closed(-2), VarCon("a")))
// No optimizations
// (pow), (floor?)
IsNeg(IsPow(VarCon("x"))).children should be(Vector(IsPow(VarCon("x"))))
IsNeg(IsFloor(VarCon("x"))).children should be(Vector(IsFloor(VarCon("x"))))
}
"IsPow" should "reduce properly" in {
// All constants
IsPow(Closed(1)) should be(Closed(2))
// Pull out max
IsPow(IsMax(Closed(1), VarCon("a"))) should be(IsMax(Closed(2), IsPow(VarCon("a"))))
// Pull out min
IsPow(IsMin(Closed(1), VarCon("a"))) should be(IsMin(Closed(2), IsPow(VarCon("a"))))
// Pull out add
IsPow(IsAdd(Closed(1), VarCon("a"))) should be(IsMul(Closed(2), IsPow(VarCon("a"))))
// No optimizations
// (mul), (pow), (floor?)
IsPow(IsMul(Closed(2), VarCon("x"))).children should be(Vector(IsMul(Closed(2), VarCon("x"))))
IsPow(IsPow(VarCon("x"))).children should be(Vector(IsPow(VarCon("x"))))
IsPow(IsFloor(VarCon("x"))).children should be(Vector(IsFloor(VarCon("x"))))
}
"IsFloor" should "reduce properly" in {
// All constants
IsFloor(Closed(1.9)) should be(Closed(1))
IsFloor(Closed(-1.9)) should be(Closed(-2))
// Pull out max
IsFloor(IsMax(Closed(1.9), VarCon("a"))) should be(IsMax(Closed(1), IsFloor(VarCon("a"))))
// Pull out min
IsFloor(IsMin(Closed(1.9), VarCon("a"))) should be(IsMin(Closed(1), IsFloor(VarCon("a"))))
// Cancel with another floor
IsFloor(IsFloor(VarCon("a"))) should be(IsFloor(VarCon("a")))
// No optimizations
// (add), (mul), (pow)
IsFloor(IsMul(Closed(2), VarCon("x"))).children should be(Vector(IsMul(Closed(2), VarCon("x"))))
IsFloor(IsPow(VarCon("x"))).children should be(Vector(IsPow(VarCon("x"))))
IsFloor(IsAdd(Closed(1), VarCon("x"))).children should be(Vector(IsAdd(Closed(1), VarCon("x"))))
}
}
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