CoCalc Logo Icon
StoreFeaturesDocsShareSupportNewsAboutSign UpSign In

Real-time collaboration for Jupyter Notebooks, Linux Terminals, LaTeX, VS Code, R IDE, and more,
all in one place.

| Download

Try doing some basic maths questions in the Lean Theorem Prover. Functions, real numbers, equivalence relations and groups. Click on README.md and then on "Open in CoCalc with one click".

Project: Xena
Views: 18536
License: APACHE
import tactic.local_cache

open tactic

def do_trace : bool := ff

meta def trace_cache_regenerating : tactic unit :=
if do_trace then trace "(test/local_cache): cache regenerating" else skip

namespace block_local

section example_tactic

def TEST_NS_1 : name := `my_tactic
def TEST_NS_2 : name := `my_other_tactic

-- Example "expensive" function
meta def generate_some_data : tactic (list ℕ) :=
do trace_cache_regenerating,
   return [1, 2, 3, 4]

meta def my_tactic : tactic unit :=
do my_cached_data ← run_once TEST_NS_1 generate_some_data,
   -- Do some stuff with `my_cached_data`
   skip

meta def my_other_tactic : tactic unit :=
run_once TEST_NS_2 (return [10, 20, 30, 40]) >> skip

end example_tactic



section example_usage

-- Note only a single cache regeneration (only a single trace message),
-- even upon descent to a sub-tactic-block.
lemma my_lemma : true := begin
    my_tactic,
    my_tactic,
    my_tactic,

    have h : true,
    { my_tactic,
      trivial },

    trivial
end

end example_usage

section test

meta def fail_if_cache_miss (ns : name) : tactic unit :=
do p ← local_cache.present ns,
   if p then skip else fail "cache miss"

meta def fail_if_cache_miss_1 : tactic unit :=
fail_if_cache_miss TEST_NS_1

meta def fail_if_cache_miss_2 : tactic unit :=
fail_if_cache_miss TEST_NS_2

end test

-- Test: the cache persists only within a single tactic block
section test_scope

structure dummy :=
(a b : ℕ)

def my_definition : dummy :=
 ⟨ begin
     my_tactic,
     fail_if_cache_miss_1,
     exact 1
   end,
   begin
     success_if_fail { fail_if_cache_miss_1 },
     exact 1
   end, ⟩

def my_definition' : dummy :=
 ⟨ begin
     success_if_fail { fail_if_cache_miss_1 },
     exact 1
   end,
   begin
     success_if_fail { fail_if_cache_miss_1 },
     exact 1
   end, ⟩

lemma my_lemma' : dummy :=
 ⟨ begin
     my_tactic,
     fail_if_cache_miss_1,
     exact 1
   end,
   begin
     success_if_fail { fail_if_cache_miss_1 },
     exact 1
   end, ⟩

end test_scope

-- Test: the cache is reliably persistent, decends to sub-blocks,
-- the api to inspect whether a cache entry is present works, and
-- the cache can be manually cleared.
section test_persistence

lemma my_test_ps : true := begin
  success_if_fail { fail_if_cache_miss_1 },

  my_tactic,

  fail_if_cache_miss_1,
  fail_if_cache_miss_1,
  success_if_fail { fail_if_cache_miss_2 },

  have h : true,
  { fail_if_cache_miss_1,
    trivial },

  -- Manually clear cache
  local_cache.clear TEST_NS_1,
  success_if_fail { fail_if_cache_miss_1 },

  trivial
end

end test_persistence

-- Test: caching under different namespaces doesn't share the
-- cached state.
section test_ns_collison

lemma my_test_ns : true := begin
  my_tactic,
  fail_if_cache_miss_1,
  success_if_fail { fail_if_cache_miss_2 },

  my_other_tactic,
  fail_if_cache_miss_1,
  fail_if_cache_miss_2,

  local_cache.clear TEST_NS_1,
  success_if_fail { fail_if_cache_miss_1 },
  fail_if_cache_miss_2,

  my_other_tactic,
  success_if_fail { fail_if_cache_miss_1 },
  fail_if_cache_miss_2,

  trivial
end

end test_ns_collison

-- Test: cached results don't leak between `def`s or `lemma`s.
section test_locality

def my_def_1 : true := begin
  success_if_fail { fail_if_cache_miss_1 },
  my_tactic,
  fail_if_cache_miss_1,

  trivial
end

def my_def_2 : true := begin
  success_if_fail { fail_if_cache_miss_1 },
  my_tactic,
  fail_if_cache_miss_1,

  trivial
end

lemma my_lemma_1 : true := begin
  success_if_fail { fail_if_cache_miss_1 },
  my_tactic,
  fail_if_cache_miss_1,

  trivial
end

lemma my_lemma_2 : true := begin
  success_if_fail { fail_if_cache_miss_1 },
  my_tactic,
  fail_if_cache_miss_1,

  trivial
end

end test_locality

-- Test: the `local_cache.get` function.
section test_get

meta def assert_equal {α : Type} [decidable_eq α] (a : α) (ta : tactic α) : tactic unit :=
do a' ← ta,
   if a = a' then skip
             else fail "not equal!"

lemma my_lemma_3 : true := begin
  assert_equal none (local_cache.get TEST_NS_1 (list ℕ)),

  my_tactic,
  my_other_tactic,
  assert_equal (some [1,2,3,4]) (local_cache.get TEST_NS_1 (list ℕ)),
  assert_equal (some [10, 20, 30, 40]) (local_cache.get TEST_NS_2 (list ℕ)),

  trivial
end

end test_get

end block_local



---------------------------
-- Now test again with the `def_local` scope.
---------------------------


namespace def_local

open tactic.local_cache.cache_scope

section example_tactic

def TEST_NS_1 : name := `my_tactic
def TEST_NS_2 : name := `my_other_tactic

-- Example "expensive" function
meta def generate_some_data : tactic (list ℕ) :=
do trace_cache_regenerating,
   return [1, 2, 3, 4]

meta def my_tactic : tactic unit :=
do my_cached_data ← run_once TEST_NS_1 generate_some_data def_local,
   -- Do some stuff with `my_cached_data`
   skip

meta def my_other_tactic : tactic unit :=
run_once TEST_NS_2 (return [10, 20, 30, 40]) def_local >> skip

end example_tactic



section example_usage

-- Note only a single cache regeneration (only a single trace message),
-- even upon descent to a sub-tactic-block.
lemma my_lemma : true := begin
    my_tactic,
    my_tactic,
    my_tactic,

    have h : true,
    { my_tactic,
      trivial },

    trivial
end

end example_usage

section test

meta def fail_if_cache_miss (ns : name) : tactic unit :=
do p ← local_cache.present ns def_local,
   if p then skip else fail "cache miss"

meta def fail_if_cache_miss_1 : tactic unit :=
fail_if_cache_miss TEST_NS_1

meta def fail_if_cache_miss_2 : tactic unit :=
fail_if_cache_miss TEST_NS_2

end test

-- Test: the cache really does persist over a whole definition
section test_scope

structure dummy :=
(a b : ℕ)

def my_definition : dummy :=
 ⟨ begin
     my_tactic,
     fail_if_cache_miss_1,
     exact 1
   end,
   begin
     fail_if_cache_miss_1,
     exact 1
   end, ⟩

def my_definition' : dummy :=
 ⟨ begin
     success_if_fail { fail_if_cache_miss_1 },
     exact 1
   end,
   begin
     success_if_fail { fail_if_cache_miss_1 },
     exact 1
   end, ⟩

lemma my_lemma' : dummy :=
 ⟨ begin
     my_tactic,
     fail_if_cache_miss_1,
     exact 1
   end,
   begin
     fail_if_cache_miss_1,
     exact 1
   end, ⟩

end test_scope

-- Test: the cache is reliably persistent, decends to sub-blocks,
-- the api to inspect whether a cache entry is present works, and
-- the cache can be manually cleared.
section test_persistence

lemma my_test_ps : true := begin
  success_if_fail { fail_if_cache_miss_1 },

  my_tactic,
  my_tactic,

  fail_if_cache_miss_1,
  fail_if_cache_miss_1,
  success_if_fail { fail_if_cache_miss_2 },

  have h : true,
  { fail_if_cache_miss_1,
    trivial },

  -- Manually clear cache
  local_cache.clear TEST_NS_1 def_local,
  success_if_fail { fail_if_cache_miss_1 },

  trivial
end

end test_persistence

-- Test: caching under different namespaces doesn't share the
-- cached state.
section test_ns_collison

lemma my_test_ns : true := begin
  my_tactic,
  fail_if_cache_miss_1,
  success_if_fail { fail_if_cache_miss_2 },

  my_other_tactic,
  fail_if_cache_miss_1,
  fail_if_cache_miss_2,

  local_cache.clear TEST_NS_1 def_local,
  success_if_fail { fail_if_cache_miss_1 },
  fail_if_cache_miss_2,

  my_other_tactic,
  success_if_fail { fail_if_cache_miss_1 },
  fail_if_cache_miss_2,

  trivial
end

end test_ns_collison

-- Test: cached results don't leak between `def`s or `lemma`s.
section test_locality

def my_def_1 : true := begin
  success_if_fail { fail_if_cache_miss_1 },
  my_tactic,
  fail_if_cache_miss_1,

  trivial
end

def my_def_2 : true := begin
  success_if_fail { fail_if_cache_miss_1 },
  my_tactic,
  fail_if_cache_miss_1,

  trivial
end

lemma my_lemma_1 : true := begin
  success_if_fail { fail_if_cache_miss_1 },
  my_tactic,
  fail_if_cache_miss_1,

  trivial
end

lemma my_lemma_2 : true := begin
  success_if_fail { fail_if_cache_miss_1 },
  my_tactic,
  fail_if_cache_miss_1,

  trivial
end

end test_locality

-- Test: the `local_cache.get` function.
section test_get

meta def assert_equal {α : Type} [decidable_eq α] (a : α) (ta : tactic α) : tactic unit :=
do a' ← ta,
   if a = a' then skip
             else fail "not equal!"

lemma my_lemma_3 : true := begin
  assert_equal none (local_cache.get TEST_NS_1 (list ℕ)),

  my_tactic,
  my_other_tactic,
  assert_equal (some [1,2,3,4]) (local_cache.get TEST_NS_1 (list ℕ) def_local),
  assert_equal (some [10, 20, 30, 40]) (local_cache.get TEST_NS_2 (list ℕ) def_local),

  trivial
end

end test_get

end def_local

-- Test: finally, make sure the `block_local` and `def_local` caches
-- don't collide.

namespace collision

open tactic.local_cache.cache_scope

def TEST_NS : name := `my_tactic

-- Example "expensive" function
meta def generate_some_data : tactic (list ℕ) :=
do trace_cache_regenerating,
   return [1, 2, 3, 4]

meta def tac_block : tactic unit :=
do my_cached_data ← run_once TEST_NS generate_some_data block_local,
   skip

meta def tac_def : tactic unit :=
do my_cached_data ← run_once TEST_NS generate_some_data def_local,
   skip

meta def fail_if_cache_miss_def : tactic unit :=
do p ← local_cache.present TEST_NS def_local,
   if p then skip else fail "cache miss"

meta def fail_if_cache_miss_block : tactic unit :=
do p ← local_cache.present TEST_NS block_local,
   if p then skip else fail "cache miss"

lemma my_lemma_1 : true := begin
  tac_block,
  fail_if_cache_miss_block,
  success_if_fail { fail_if_cache_miss_def },

  trivial
end

lemma my_lemma_2 : true := begin
  tac_def,
  fail_if_cache_miss_def,
  success_if_fail { fail_if_cache_miss_block },

  trivial
end

lemma my_lemma_3 : true := begin
  tac_block,
  tac_def,

  local_cache.clear TEST_NS block_local,
  fail_if_cache_miss_def,
  success_if_fail { fail_if_cache_miss_block },

  trivial
end

lemma my_lemma_4 : true := begin
  tac_block,
  tac_def,

  local_cache.clear TEST_NS def_local,
  fail_if_cache_miss_block,
  success_if_fail { fail_if_cache_miss_def },

  trivial
end

end collision