lean4-htt/tests/lean/run/expr1.lean
2019-11-14 16:54:36 -08:00

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Text

import Init.Lean.Expr
open Lean
def tst1 : IO Unit :=
do let f := mkConst `f [];
let a := mkConst `a [];
let b := mkConst `b [];
let t := mkAppN f #[a, b, b];
let as₁ := t.getAppArgs;
let as₂ := t.getAppRevArgs;
IO.println as₁;
IO.println as₂;
unless (as₁.reverse == as₂) $ throw "failed";
pure ()
#eval tst1
def tst2 : IO Unit :=
do let l1 := Level.max (Level.param `a) (Level.param `b);
let l2 := Level.max (Level.param `b) (Level.param `a);
IO.println l1;
IO.println l2;
unless (Level.isEquiv l1 l2) $ throw "not equiv";
pure ()
#eval tst2
def tst3 : IO Unit :=
do let f := mkConst `f [];
let a := mkConst `a [];
let b := mkConst `b [];
let c := mkConst `c [];
let t := mkAppN f #[a, b, c];
IO.println $ t.getArg! 0;
IO.println $ t.getArg! 1;
IO.println $ t.getArg! 2;
pure ()
#eval tst3
def tst4 : IO Unit :=
do let f := mkConst `f [];
let a := mkConst `a [];
let b := mkConst `b [];
let x0 := mkBVar 0;
let x1 := mkBVar 1;
let t1 := mkAppN f #[a, b];
let t2 := mkAppN f #[a, x0];
let t3 := mkLambda `x BinderInfo.default (mkSort Level.zero) (mkAppN f #[a, x0]);
let t4 := mkLambda `x BinderInfo.default (mkSort Level.zero) (mkAppN f #[a, x1]);
unless (!t1.hasLooseBVar 0) $ throw "failed-1";
unless (t2.hasLooseBVar 0) $ throw "failed-2";
unless (!t3.hasLooseBVar 0) $ throw "failed-3";
unless (t4.hasLooseBVar 0) $ throw "failed-4";
unless (!t4.hasLooseBVar 1) $ throw "failed-5";
unless (!t2.hasLooseBVar 1) $ throw "failed-6";
pure ()
#eval tst4
def tst5 : IO Unit :=
do let f := mkConst `f [];
let a := mkConst `a [];
let nat := mkConst `Nat [];
let x0 := mkBVar 0;
let x1 := mkBVar 1;
let x2 := mkBVar 2;
let t := mkLambda `x BinderInfo.default nat (mkApp f x0);
IO.println t.etaExpanded?;
unless (t.etaExpanded? == some f) $ throw "failed-1";
let t := mkLambda `x BinderInfo.default nat (mkApp f x1);
unless (t.etaExpanded? == none) $ throw "failed-2";
let t := mkLambda `x BinderInfo.default nat (mkAppN f #[a, x0]);
unless (t.etaExpanded? == some (mkApp f a)) $ throw "failed-3";
let t := mkLambda `x BinderInfo.default nat (mkAppN f #[x0, x0]);
unless (t.etaExpanded? == none) $ throw "failed-4";
let t := mkLambda `x BinderInfo.default nat (mkLambda `y BinderInfo.default nat (mkApp f x0));
unless (t.etaExpanded? == none) $ throw "failed-5";
let t := mkLambda `x BinderInfo.default nat (mkLambda `y BinderInfo.default nat (mkAppN f #[x1, x0]));
IO.println t;
unless (t.etaExpanded? == some f) $ throw "failed-6";
let t := mkLambda `x BinderInfo.default nat (mkLambda `y BinderInfo.default nat (mkLambda `z BinderInfo.default nat (mkAppN f #[x2, x1, x0])));
IO.println t;
unless (t.etaExpanded? == some f) $ throw "failed-7";
let t := mkLambda `x BinderInfo.default nat (mkLambda `y BinderInfo.default nat (mkLambda `z BinderInfo.default nat (mkAppN f #[a, x2, x1, x0])));
IO.println t;
unless (t.etaExpanded? == some (mkApp f a)) $ throw "failed-8";
IO.println t.etaExpanded?;
let t := mkApp f a;
unless (t.etaExpanded? == some (mkApp f a)) $ throw "failed-9";
pure ()
#eval tst5