Re-named "spec" hierarchy to "specification".

6 files changed, 921 insertions, 0 deletions

diff --git a/stdlib/source/specification/compositor/generation/case.lux b/stdlib/source/specification/compositor/generation/case.lux
new file mode 100644
index 000000000..2424aa330
--- /dev/null
+++ b/stdlib/source/specification/compositor/generation/case.lux
@@ -0,0 +1,288 @@
+(.module:
+  [lux (#- case)
+   ["_" test (#+ Test)]
+   [abstract
+    [monad (#+ do)]]
+   [control
+    [pipe (#+ case>)]
+    ["." try (#+ Try)]]
+   [data
+    ["." text ("#\." equivalence)
+     ["%" format (#+ format)]]
+    [number
+     ["n" nat]
+     ["f" frac]]
+    [collection
+     ["." list ("#\." fold)]]]
+   [math
+    ["r" random (#+ Random)]]
+   [tool
+    [compiler
+     ["." reference]
+     ["." analysis]
+     ["." synthesis (#+ Path Synthesis)]
+     ["." phase
+      ["#/." synthesis
+       ["." case]]
+      ["." extension/synthesis]]]]]
+  [///
+   [common (#+ Runner)]])
+
+(def: limit Nat 10)
+
+(def: size
+  (Random Nat)
+  (|> r.nat (\ r.monad map (|>> (n.% ..limit) (n.max 2)))))
+
+(def: (tail? size idx)
+  (-> Nat Nat Bit)
+  (n.= (dec size) idx))
+
+(def: #export (verify expected)
+  (-> Frac (Try Any) Bit)
+  (|>> (case> (#try.Success actual)
+              (f.= expected (:as Frac actual))
+
+              (#try.Failure _)
+              false)))
+
+(def: case
+  (Random [Synthesis Path])
+  (<| r.rec (function (_ case))
+      (`` ($_ r.either
+              (do r.monad
+                [value r.i64]
+                (wrap [(synthesis.i64 value)
+                       synthesis.path/pop]))
+              (~~ (template [<gen> <synth> <path>]
+                    [(do r.monad
+                       [value <gen>]
+                       (wrap [(<synth> value)
+                              (<path> value)]))]
+
+                    [r.bit         synthesis.bit  synthesis.path/bit]
+                    [r.i64         synthesis.i64  synthesis.path/i64]
+                    [r.frac        synthesis.f64  synthesis.path/f64]
+                    [(r.unicode 5) synthesis.text synthesis.path/text]))
+              (do {! r.monad}
+                [size ..size
+                 idx (|> r.nat (\ ! map (n.% size)))
+                 [subS subP] case
+                 #let [unitS (synthesis.text synthesis.unit)
+                       caseS (synthesis.tuple
+                              (list.concat (list (list.repeat idx unitS)
+                                                 (list subS)
+                                                 (list.repeat (|> size dec (n.- idx)) unitS))))
+                       caseP ($_ synthesis.path/seq
+                                 (if (tail? size idx)
+                                   (synthesis.member/right idx)
+                                   (synthesis.member/left idx))
+                                 subP)]]
+                (wrap [caseS caseP]))
+              (do {! r.monad}
+                [size ..size
+                 idx (|> r.nat (\ ! map (n.% size)))
+                 [subS subP] case
+                 #let [right? (tail? size idx)
+                       caseS (synthesis.variant
+                              {#analysis.lefts idx
+                               #analysis.right? right?
+                               #analysis.value subS})
+                       caseP ($_ synthesis.path/seq
+                                 (if right?
+                                   (synthesis.side/right idx)
+                                   (synthesis.side/left idx))
+                                 subP)]]
+                (wrap [caseS caseP]))
+              ))))
+
+(def: (let-spec run)
+  (-> Runner Test)
+  (do r.monad
+    [value r.safe-frac]
+    (_.test (%.name (name-of synthesis.branch/let))
+            (|> (synthesis.branch/let [(synthesis.f64 value)
+                                       0
+                                       (synthesis.variable/local 0)])
+                (run "let-spec")
+                (verify value)))))
+
+(def: (if-spec run)
+  (-> Runner Test)
+  (do r.monad
+    [on-true r.safe-frac
+     on-false (|> r.safe-frac (r.filter (|>> (f.= on-true) not)))
+     verdict r.bit]
+    (_.test (%.name (name-of synthesis.branch/if))
+            (|> (synthesis.branch/if [(synthesis.bit verdict)
+                                      (synthesis.f64 on-true)
+                                      (synthesis.f64 on-false)])
+                (run "if-spec")
+                (verify (if verdict on-true on-false))))))
+
+(def: (case-spec run)
+  (-> Runner Test)
+  (do r.monad
+    [[inputS pathS] ..case
+     on-success r.safe-frac
+     on-failure (|> r.safe-frac (r.filter (|>> (f.= on-success) not)))]
+    (_.test (%.name (name-of synthesis.branch/case))
+            (|> (synthesis.branch/case
+                 [inputS
+                  ($_ synthesis.path/alt
+                      ($_ synthesis.path/seq
+                          pathS
+                          (synthesis.path/then (synthesis.f64 on-success)))
+                      (synthesis.path/then (synthesis.f64 on-failure)))])
+                (run "case-spec")
+                (verify on-success)))))
+
+(def: special-input
+  Synthesis
+  (let [_cursor_ (: Synthesis
+                    (synthesis.tuple (list (synthesis.text .prelude_module)
+                                           (synthesis.i64 +901)
+                                           (synthesis.i64 +13))))
+        _code_ (: (-> Synthesis Synthesis)
+                  (function (_ content)
+                    (synthesis.tuple (list _cursor_ content))))
+        _nil_ (: Synthesis
+                 (synthesis.variant [0 #0 (synthesis.text "")]))
+        _cons_ (: (-> Synthesis Synthesis Synthesis)
+                  (function (_ head tail)
+                    (synthesis.variant [0 #1 (synthesis.tuple (list head tail))])))
+        _list_ (: (-> (List Synthesis) Synthesis)
+                  (list\fold _cons_ _nil_))]
+    (let [__tuple__ (: (-> (List Synthesis) Synthesis)
+                       (|>> list.reverse _list_ [9 #0] synthesis.variant _code_))
+          __form__ (: (-> (List Synthesis) Synthesis)
+                      (|>> list.reverse _list_ [8 #0] synthesis.variant _code_))
+          __text__ (: (-> Text Synthesis)
+                      (function (_ value)
+                        (_code_ (synthesis.variant [5 #0 (synthesis.text value)]))))
+          __identifier__ (: (-> Name Synthesis)
+                            (function (_ [module short])
+                              (_code_ (synthesis.variant [6 #0 (synthesis.tuple (list (synthesis.text module)
+                                                                                      (synthesis.text short)))]))))
+          __tag__ (: (-> Name Synthesis)
+                     (function (_ [module short])
+                       (_code_ (synthesis.variant [7 #0 (synthesis.tuple (list (synthesis.text module)
+                                                                               (synthesis.text short)))]))))
+          __list__ (: (-> (List Synthesis) Synthesis)
+                      (list\fold (function (_ head tail)
+                                   (__form__ (list (__tag__ ["" "Cons"]) head tail)))
+                                 (__tag__ ["" "Nil"])))
+          __apply__ (: (-> Synthesis Synthesis Synthesis)
+                       (function (_ func arg)
+                         (__form__ (list func arg))))]
+      (|> _nil_
+          (_cons_ (__apply__ (__identifier__ ["" "form$"])
+                             (__list__ (list (__apply__ (__identifier__ ["" "tag$"])
+                                                        (__tuple__ (list (__text__ .prelude_module)
+                                                                         (__text__ "Cons"))))
+                                             (__identifier__ ["" "export?-meta"])
+                                             (__identifier__ ["" "tail"])))))
+          (_cons_ (__tuple__ (list (__identifier__ ["" "tail"]))))
+          ))))
+
+(def: special-path
+  Path
+  (let [_nil_ (synthesis.path/side (#.Left 0))
+        _cons_ (synthesis.path/side (#.Right 0))
+        _head_ (synthesis.path/member (#.Left 0))
+        _tail_ (synthesis.path/member (#.Right 0))
+        _tuple_ (synthesis.path/side (#.Left 9))]
+    ($_ synthesis.path/alt
+        ($_ synthesis.path/seq
+            _cons_
+            _head_
+            _head_ (synthesis.path/bind 2) synthesis.path/pop
+            _tail_ _tuple_ _cons_
+            _head_ (synthesis.path/bind 3) synthesis.path/pop
+            _tail_ (synthesis.path/bind 4) synthesis.path/pop
+            synthesis.path/pop synthesis.path/pop synthesis.path/pop synthesis.path/pop
+            _tail_ _cons_
+            _head_ (synthesis.path/bind 5) synthesis.path/pop
+            _tail_ _nil_
+            ## THEN
+            (synthesis.path/then (synthesis.bit #1)))
+        ($_ synthesis.path/seq
+            (synthesis.path/bind 2)
+            ## THEN
+            (synthesis.path/then (synthesis.bit #0))))))
+
+(def: special-pattern
+  analysis.Pattern
+  (let [## [_ (#Tuple (#Cons arg args'))]
+        head (<| analysis.pattern/tuple (list (analysis.pattern/bind 2))
+                 analysis.pattern/variant [9 #0]
+                 analysis.pattern/variant [0 #1]
+                 analysis.pattern/tuple (list (analysis.pattern/bind 3)
+                                              (analysis.pattern/bind 4)))
+        ## (#Cons body #Nil)
+        tail (<| analysis.pattern/variant [0 #1]
+                 analysis.pattern/tuple (list (analysis.pattern/bind 5))
+                 analysis.pattern/variant [0 #0]
+                 (analysis.pattern/unit))]
+    ## (#Cons <head> <tail>)
+    (<| analysis.pattern/variant [0 #1]
+        (analysis.pattern/tuple (list head tail)))))
+
+(def: special-pattern-path
+  Path
+  ($_ synthesis.path/alt
+      (<| try.assume
+          (phase.run [extension/synthesis.bundle
+                      synthesis.init])
+          (case.path phase/synthesis.phase
+                     special-pattern)
+          (analysis.bit #1))
+      ($_ synthesis.path/seq
+          (synthesis.path/bind 2)
+          ## THEN
+          (synthesis.path/then (synthesis.bit #0)))))
+
+## TODO: Get rid of this ASAP
+(def: (special-spec run)
+  (-> Runner Test)
+  ($_ _.and
+      (_.test "==="
+              (and (text\= (synthesis.%path special-path)
+                           (synthesis.%path special-pattern-path))
+                   (\ synthesis.path-equivalence = special-path special-pattern-path)))
+      (_.test "CODE"
+              (|> special-input
+                  (run "special-input")
+                  (case> (#try.Success output)
+                         true
+                         
+                         (#try.Failure _)
+                         false)))
+      (_.test "PATTERN-MATCHING 0"
+              (|> (synthesis.branch/case [special-input
+                                          special-path])
+                  (run "special-path")
+                  (case> (#try.Success output)
+                         true
+                         
+                         (#try.Failure _)
+                         false)))
+      (_.test "PATTERN-MATCHING 1"
+              (|> (synthesis.branch/case [special-input
+                                          special-pattern-path])
+                  (run "special-pattern-path")
+                  (case> (#try.Success output)
+                         true
+                         
+                         (#try.Failure _)
+                         false)))
+      ))
+
+(def: #export (spec run)
+  (-> Runner Test)
+  ($_ _.and
+      (..special-spec run)
+      (..let-spec run)
+      (..if-spec run)
+      (..case-spec run)
+      ))
diff --git a/stdlib/source/specification/compositor/generation/common.lux b/stdlib/source/specification/compositor/generation/common.lux
new file mode 100644
index 000000000..3d377b7ca
--- /dev/null
+++ b/stdlib/source/specification/compositor/generation/common.lux
@@ -0,0 +1,343 @@
+(.module:
+  [lux (#- i64)
+   ["_" test (#+ Test)]
+   [abstract
+    [monad (#+ do)]]
+   [control
+    [pipe (#+ case>)]
+    ["." try (#+ Try)]]
+   [data
+    ["." bit ("#\." equivalence)]
+    [number
+     ["." i64]
+     ["n" nat]
+     ["i" int]
+     ["f" frac]]
+    ["." text ("#\." equivalence)
+     ["%" format (#+ format)]]
+    [collection
+     ["." list]]]
+   [math
+    ["r" random (#+ Random)]]
+   [tool
+    [compiler
+     ["." reference]
+     ["." synthesis]]]]
+  ["." // #_
+   ["#." case]
+   [//
+    [common (#+ Runner)]]])
+
+(def: sanitize
+  (-> Text Text)
+  (text.replace-all " " "_"))
+
+(def: (bit run)
+  (-> Runner Test)
+  (do r.monad
+    [param r.i64
+     subject r.i64]
+    (with-expansions [<binary> (template [<extension> <reference> <param-expr>]
+                                 [(_.test <extension>
+                                          (|> (#synthesis.Extension <extension> (list (synthesis.i64 param)
+                                                                                      (synthesis.i64 subject)))
+                                              (run (..sanitize <extension>))
+                                              (case> (#try.Success valueT)
+                                                     (n.= (<reference> param subject) (:as Nat valueT))
+
+                                                     (#try.Failure _)
+                                                     false)
+                                              (let [param <param-expr>])))]
+
+                                 ["lux i64 and"                 i64.and               param]
+                                 ["lux i64 or"                  i64.or                param]
+                                 ["lux i64 xor"                 i64.xor               param]
+                                 ["lux i64 left-shift"          i64.left-shift        (n.% 64 param)]
+                                 ["lux i64 logical-right-shift" i64.logic-right-shift (n.% 64 param)]
+                                 )]
+                     ($_ _.and
+                         <binary>
+                         (_.test "lux i64 arithmetic-right-shift"
+                                 (|> (#synthesis.Extension "lux i64 arithmetic-right-shift"
+                                                           (list (synthesis.i64 subject)
+                                                                 (synthesis.i64 param)))
+                                     (run (..sanitize "lux i64 arithmetic-right-shift"))
+                                     (case> (#try.Success valueT)
+                                            ("lux i64 ="
+                                             (i64.arithmetic-right-shift param subject)
+                                             (:as I64 valueT))
+
+                                            (#try.Failure _)
+                                            false)
+                                     (let [param (n.% 64 param)])))
+                         ))))
+
+(def: (i64 run)
+  (-> Runner Test)
+  (do r.monad
+    [param (|> r.i64 (r.filter (|>> ("lux i64 =" 0) not)))
+     subject r.i64]
+    (`` ($_ _.and
+            (~~ (template [<extension> <type> <prepare> <comp> <subject-expr>]
+                  [(_.test <extension>
+                           (|> (#synthesis.Extension <extension> (list (synthesis.i64 subject)))
+                               (run (..sanitize <extension>))
+                               (case> (#try.Success valueT)
+                                      (<comp> (<prepare> subject) (:as <type> valueT))
+
+                                      (#try.Failure _)
+                                      false)
+                               (let [subject <subject-expr>])))]
+
+                  ["lux i64 f64"  Frac i.frac f.= subject]
+                  ["lux i64 char" Text (|>> (:as Nat) text.from-code) text\= (|> subject
+                                                                                 (:as Nat)
+                                                                                 (n.% (i64.left-shift 8 1))
+                                                                                 (:as Int))]
+                  ))
+            (~~ (template [<extension> <reference> <outputT> <comp>]
+                  [(_.test <extension>
+                           (|> (#synthesis.Extension <extension> (list (synthesis.i64 param)
+                                                                       (synthesis.i64 subject)))
+                               (run (..sanitize <extension>))
+                               (case> (#try.Success valueT)
+                                      (<comp> (<reference> param subject) (:as <outputT> valueT))
+
+                                      (#try.Failure _)
+                                      false)))]
+
+                  ["lux i64 +" i.+ Int  i.=]
+                  ["lux i64 -" i.- Int  i.=]
+                  ["lux i64 *" i.* Int  i.=]
+                  ["lux i64 /" i./ Int  i.=]
+                  ["lux i64 %" i.% Int  i.=]
+                  ["lux i64 =" i.= Bit bit\=]
+                  ["lux i64 <" i.< Bit bit\=]
+                  ))
+            ))))
+
+(def: simple-frac
+  (Random Frac)
+  (|> r.nat (\ r.monad map (|>> (n.% 1000) .int i.frac))))
+
+(def: (f64 run)
+  (-> Runner Test)
+  (do r.monad
+    [param (|> ..simple-frac (r.filter (|>> (f.= +0.0) not)))
+     subject ..simple-frac]
+    (`` ($_ _.and
+            (~~ (template [<extension> <reference> <comp>]
+                  [(_.test <extension>
+                           (|> (#synthesis.Extension <extension> (list (synthesis.f64 param)
+                                                                       (synthesis.f64 subject)))
+                               (run (..sanitize <extension>))
+                               (//case.verify (<reference> param subject))))]
+
+                  ["lux f64 +" f.+ f.=]
+                  ["lux f64 -" f.- f.=]
+                  ["lux f64 *" f.* f.=]
+                  ["lux f64 /" f./ f.=]
+                  ["lux f64 %" f.% f.=]
+                  ))
+            (~~ (template [<extension> <text>]
+                  [(_.test <extension>
+                           (|> (#synthesis.Extension <extension> (list (synthesis.f64 param)
+                                                                       (synthesis.f64 subject)))
+                               (run (..sanitize <extension>))
+                               (case> (#try.Success valueV)
+                                      (bit\= (<text> param subject)
+                                             (:as Bit valueV))
+
+                                      _
+                                      false)))]
+
+                  ["lux f64 =" f.=]
+                  ["lux f64 <" f.<]
+                  ))
+            (~~ (template [<extension> <reference>]
+                  [(_.test <extension>
+                           (|> (#synthesis.Extension <extension> (list))
+                               (run (..sanitize <extension>))
+                               (//case.verify <reference>)))]
+
+                  ["lux f64 min"      ("lux f64 min")]
+                  ["lux f64 max"      ("lux f64 max")]
+                  ["lux f64 smallest" ("lux f64 smallest")]
+                  ))
+            (_.test "'lux f64 i64 && 'lux i64 f64'"
+                    (|> (run (..sanitize "lux f64 i64")
+                             (|> subject synthesis.f64
+                                 (list) (#synthesis.Extension "lux f64 i64")
+                                 (list) (#synthesis.Extension "lux i64 f64")))
+                        (//case.verify subject)))
+            ))))
+
+(def: (text run)
+  (-> Runner Test)
+  (do {! r.monad}
+    [sample-size (|> r.nat (\ ! map (|>> (n.% 10) (n.max 1))))
+     sample-lower (r.ascii/lower-alpha sample-size)
+     sample-upper (r.ascii/upper-alpha sample-size)
+     sample-alpha (|> (r.ascii/alpha sample-size)
+                      (r.filter (|>> (text\= sample-upper) not)))
+     char-idx (|> r.nat (\ ! map (n.% sample-size)))
+     #let [sample-lowerS (synthesis.text sample-lower)
+           sample-upperS (synthesis.text sample-upper)
+           sample-alphaS (synthesis.text sample-alpha)
+           concatenatedS (#synthesis.Extension "lux text concat" (list sample-lowerS sample-upperS))
+           pre-rep-once (format sample-lower sample-upper)
+           post-rep-once (format sample-lower sample-alpha)
+           pre-rep-all (|> (list.repeat sample-size sample-lower) (text.join-with sample-upper))
+           post-rep-all (|> (list.repeat sample-size sample-lower) (text.join-with sample-alpha))]]
+    ($_ _.and
+        (_.test "Can compare texts for equality."
+                (and (|> (#synthesis.Extension "lux text =" (list sample-lowerS sample-lowerS))
+                         (run (..sanitize "lux text ="))
+                         (case> (#try.Success valueV)
+                                (:as Bit valueV)
+
+                                _
+                                false))
+                     (|> (#synthesis.Extension "lux text =" (list sample-upperS sample-lowerS))
+                         (run (..sanitize "lux text ="))
+                         (case> (#try.Success valueV)
+                                (not (:as Bit valueV))
+
+                                _
+                                false))))
+        (_.test "Can compare texts for order."
+                (|> (#synthesis.Extension "lux text <" (list sample-lowerS sample-upperS))
+                    (run (..sanitize "lux text <"))
+                    (case> (#try.Success valueV)
+                           (:as Bit valueV)
+
+                           (#try.Failure _)
+                           false)))
+        (_.test "Can get length of text."
+                (|> (#synthesis.Extension "lux text size" (list sample-lowerS))
+                    (run (..sanitize "lux text size"))
+                    (case> (#try.Success valueV)
+                           (n.= sample-size (:as Nat valueV))
+
+                           _
+                           false)))
+        (_.test "Can concatenate text."
+                (|> (#synthesis.Extension "lux text size" (list concatenatedS))
+                    (run (..sanitize "lux text size"))
+                    (case> (#try.Success valueV)
+                           (n.= (n.* 2 sample-size) (:as Nat valueV))
+
+                           _
+                           false)))
+        (_.test "Can find index of sub-text."
+                (and (|> (#synthesis.Extension "lux text index"
+                                               (list concatenatedS sample-lowerS
+                                                     (synthesis.i64 +0)))
+                         (run (..sanitize "lux text index"))
+                         (case> (^multi (#try.Success valueV)
+                                        [(:as (Maybe Nat) valueV) (#.Some valueV)])
+                                (n.= 0 valueV)
+
+                                _
+                                false))
+                     (|> (#synthesis.Extension "lux text index"
+                                               (list concatenatedS sample-upperS
+                                                     (synthesis.i64 +0)))
+                         (run (..sanitize "lux text index"))
+                         (case> (^multi (#try.Success valueV)
+                                        [(:as (Maybe Nat) valueV) (#.Some valueV)])
+                                (n.= sample-size valueV)
+
+                                _
+                                false))))
+        (let [test-clip (: (-> (I64 Any) (I64 Any) Text Bit)
+                           (function (_ offset length expected)
+                             (|> (#synthesis.Extension "lux text clip"
+                                                       (list concatenatedS
+                                                             (synthesis.i64 offset)
+                                                             (synthesis.i64 length)))
+                                 (run (..sanitize "lux text clip"))
+                                 (case> (^multi (#try.Success valueV)
+                                                [(:as (Maybe Text) valueV) (#.Some valueV)])
+                                        (text\= expected valueV)
+
+                                        _
+                                        false))))]
+          (_.test "Can clip text to extract sub-text."
+                  (and (test-clip 0 sample-size sample-lower)
+                       (test-clip sample-size sample-size sample-upper))))
+        (_.test "Can extract individual characters from text."
+                (|> (#synthesis.Extension "lux text char"
+                                          (list sample-lowerS
+                                                (synthesis.i64 char-idx)))
+                    (run (..sanitize "lux text char"))
+                    (case> (^multi (#try.Success valueV)
+                                   [(:as (Maybe Int) valueV) (#.Some valueV)])
+                           (text.contains? ("lux i64 char" valueV)
+                                           sample-lower)
+
+                           _
+                           false)))
+        )))
+
+(def: (io run)
+  (-> Runner Test)
+  (do r.monad
+    [message (r.ascii/alpha 5)]
+    ($_ _.and
+        (_.test "Can log messages."
+                (|> (#synthesis.Extension "lux io log"
+                                          (list (synthesis.text (format "LOG: " message))))
+                    (run (..sanitize "lux io log"))
+                    (case> (#try.Success valueV)
+                           true
+
+                           (#try.Failure _)
+                           false)))
+        (_.test "Can throw runtime errors."
+                (and (|> (#synthesis.Extension "lux try"
+                                               (list (synthesis.function/abstraction
+                                                      {#synthesis.environment (list)
+                                                       #synthesis.arity 1
+                                                       #synthesis.body (#synthesis.Extension "lux io error"
+                                                                                             (list (synthesis.text message)))})))
+                         (run (..sanitize "lux try"))
+                         (case> (^multi (#try.Success valueV)
+                                        [(:as (Try Text) valueV) (#try.Failure error)])
+                                (text.contains? message error)
+
+                                _
+                                false))
+                     (|> (#synthesis.Extension "lux try"
+                                               (list (synthesis.function/abstraction
+                                                      {#synthesis.environment (list)
+                                                       #synthesis.arity 1
+                                                       #synthesis.body (synthesis.text message)})))
+                         (run (..sanitize "lux try"))
+                         (case> (^multi (#try.Success valueV)
+                                        [(:as (Try Text) valueV) (#try.Success valueV)])
+                                (text\= message valueV)
+
+                                _
+                                false))))
+        (_.test "Can obtain current time in milli-seconds."
+                (|> (synthesis.tuple (list (#synthesis.Extension "lux io current-time" (list))
+                                           (#synthesis.Extension "lux io current-time" (list))))
+                    (run (..sanitize "lux io current-time"))
+                    (case> (#try.Success valueV)
+                           (let [[pre post] (:as [Nat Nat] valueV)]
+                             (n.>= pre post))
+
+                           (#try.Failure _)
+                           false)))
+        )))
+
+(def: #export (spec runner)
+  (-> Runner Test)
+  ($_ _.and
+      (..bit runner)
+      (..i64 runner)
+      (..f64 runner)
+      (..text runner)
+      (..io runner)
+      ))
diff --git a/stdlib/source/specification/compositor/generation/function.lux b/stdlib/source/specification/compositor/generation/function.lux
new file mode 100644
index 000000000..6d0f8d541
--- /dev/null
+++ b/stdlib/source/specification/compositor/generation/function.lux
@@ -0,0 +1,93 @@
+(.module:
+  [lux (#- function)
+   ["_" test (#+ Test)]
+   [abstract
+    [monad (#+ do)]
+    ["." enum]]
+   [control
+    [pipe (#+ case>)]]
+   [data
+    ["." maybe]
+    [number
+     ["n" nat]]
+    [collection
+     ["." list ("#\." functor)]]]
+   [math
+    ["r" random (#+ Random) ("#\." monad)]]
+   [tool
+    [compiler
+     [analysis (#+ Arity)]
+     ["." reference (#+ Register)]
+     ["." synthesis (#+ Synthesis)]]]]
+  ["." // #_
+   ["#." case]
+   [//
+    [common (#+ Runner)]]])
+
+(def: max-arity Arity 10)
+
+(def: arity
+  (Random Arity)
+  (|> r.nat (r\map (|>> (n.% max-arity) (n.max 1)))))
+
+(def: (local arity)
+  (-> Arity (Random Register))
+  (|> r.nat (r\map (|>> (n.% arity) inc))))
+
+(def: function
+  (Random [Arity Register Synthesis])
+  (do r.monad
+    [arity ..arity
+     local (..local arity)]
+    (wrap [arity local
+           (synthesis.function/abstraction
+            {#synthesis.environment (list)
+             #synthesis.arity arity
+             #synthesis.body (synthesis.variable/local local)})])))
+
+(def: #export (spec run)
+  (-> Runner Test)
+  (do {! r.monad}
+    [[arity local functionS] ..function
+     partial-arity (|> r.nat (\ ! map (|>> (n.% arity) (n.max 1))))
+     inputs (r.list arity r.safe-frac)
+     #let [expectation (maybe.assume (list.nth (dec local) inputs))
+           inputsS (list\map (|>> synthesis.f64) inputs)]]
+    ($_ _.and
+        (_.test "Can read arguments."
+                (|> (synthesis.function/apply {#synthesis.function functionS
+                                               #synthesis.arguments inputsS})
+                    (run "with-local")
+                    (//case.verify expectation)))
+        (_.test "Can partially apply functions."
+                (or (n.= 1 arity)
+                    (let [preS (list.take partial-arity inputsS)
+                          postS (list.drop partial-arity inputsS)
+                          partialS (synthesis.function/apply {#synthesis.function functionS
+                                                              #synthesis.arguments preS})]
+                      (|> (synthesis.function/apply {#synthesis.function partialS
+                                                     #synthesis.arguments postS})
+                          (run "partial-application")
+                          (//case.verify expectation)))))
+        (_.test "Can read environment."
+                (or (n.= 1 arity)
+                    (let [environment (|> partial-arity
+                                          (enum.range n.enum 1)
+                                          (list\map (|>> #reference.Local)))
+                          variableS (if (n.<= partial-arity local)
+                                      (synthesis.variable/foreign (dec local))
+                                      (synthesis.variable/local (|> local (n.- partial-arity))))
+                          inner-arity (n.- partial-arity arity)
+                          innerS (synthesis.function/abstraction
+                                  {#synthesis.environment environment
+                                   #synthesis.arity inner-arity
+                                   #synthesis.body variableS})
+                          outerS (synthesis.function/abstraction
+                                  {#synthesis.environment (list)
+                                   #synthesis.arity partial-arity
+                                   #synthesis.body innerS})]
+                      (|> (synthesis.function/apply {#synthesis.function outerS
+                                                     #synthesis.arguments inputsS})
+                          (run "with-foreign")
+                          (//case.verify expectation)))))
+        )))
diff --git a/stdlib/source/specification/compositor/generation/primitive.lux b/stdlib/source/specification/compositor/generation/primitive.lux
new file mode 100644
index 000000000..3b6dd657b
--- /dev/null
+++ b/stdlib/source/specification/compositor/generation/primitive.lux
@@ -0,0 +1,48 @@
+(.module:
+  [lux #*
+   ["_" test (#+ Test)]
+   [abstract
+    [monad (#+ do)]]
+   [control
+    [pipe (#+ case>)]
+    ["." try]]
+   [data
+    ["." bit ("#\." equivalence)]
+    [number
+     ["f" frac]]
+    ["." text ("#\." equivalence)
+     ["%" format (#+ format)]]]
+   [math
+    ["r" random]]
+   [tool
+    [compiler
+     ["." synthesis]]]]
+  [///
+   [common (#+ Runner)]])
+
+(def: (f/=' reference subject)
+  (-> Frac Frac Bit)
+  (or (f.= reference subject)
+      (and (f.not-a-number? reference)
+           (f.not-a-number? subject))))
+
+(def: #export (spec run)
+  (-> Runner Test)
+  (`` ($_ _.and
+          (~~ (template [<evaluation-name> <synthesis> <gen> <test>]
+                [(do r.monad
+                   [expected <gen>]
+                   (_.test (%.name (name-of <synthesis>))
+                           (|> (run <evaluation-name> (<synthesis> expected))
+                               (case> (#try.Success actual)
+                                      (<test> expected (:assume actual))
+
+                                      (#try.Failure _)
+                                      false))))]
+
+                ["bit" synthesis.bit  r.bit  bit\=]
+                ["i64" synthesis.i64  r.i64  "lux i64 ="]
+                ["f64" synthesis.f64  r.frac  f.=']
+                ["text" synthesis.text (r.ascii 5) text\=]
+                ))
+          )))
diff --git a/stdlib/source/specification/compositor/generation/reference.lux b/stdlib/source/specification/compositor/generation/reference.lux
new file mode 100644
index 000000000..665175ab4
--- /dev/null
+++ b/stdlib/source/specification/compositor/generation/reference.lux
@@ -0,0 +1,60 @@
+(.module:
+  [lux #*
+   ["_" test (#+ Test)]
+   [abstract
+    [monad (#+ do)]]
+   [control
+    [pipe (#+ case>)]
+    ["." try]]
+   [data
+    [number
+     ["n" nat]
+     ["f" frac]]]
+   [tool
+    [compiler
+     ["." reference]
+     ["." synthesis]]]
+   [math
+    ["r" random (#+ Random)]]]
+  [///
+   [common (#+ Runner Definer)]])
+
+(def: name
+  (Random Name)
+  (let [name-part (r.ascii/upper-alpha 5)]
+    [(r.and name-part name-part)]))
+
+(def: (definition define)
+  (-> Definer Test)
+  (do r.monad
+    [name ..name
+     expected r.safe-frac]
+    (_.test "Definitions."
+            (|> (define name (synthesis.f64 expected))
+                (case> (#try.Success actual)
+                       (f.= expected (:as Frac actual))
+
+                       (#try.Failure _)
+                       false)))))
+
+(def: (variable run)
+  (-> Runner Test)
+  (do {! r.monad}
+    [register (|> r.nat (\ ! map (n.% 100)))
+     expected r.safe-frac]
+    (_.test "Local variables."
+            (|> (synthesis.branch/let [(synthesis.f64 expected)
+                                       register
+                                       (synthesis.variable/local register)])
+                (run "variable")
+                (case> (#try.Success actual)
+                       (f.= expected (:as Frac actual))
+
+                       (#try.Failure _)
+                       false)))))
+
+(def: #export (spec runner definer)
+  (-> Runner Definer Test)
+  ($_ _.and
+      (..definition definer)
+      (..variable runner)))
diff --git a/stdlib/source/specification/compositor/generation/structure.lux b/stdlib/source/specification/compositor/generation/structure.lux
new file mode 100644
index 000000000..7c45d2a9b
--- /dev/null
+++ b/stdlib/source/specification/compositor/generation/structure.lux
@@ -0,0 +1,89 @@
+(.module:
+  [lux #*
+   ["_" test (#+ Test)]
+   [abstract
+    [monad (#+ do)]]
+   [control
+    [pipe (#+ case>)]
+    ["." try]]
+   [data
+    ["." maybe]
+    [number
+     ["n" nat]
+     ["i" int]]
+    ["." text ("#\." equivalence)
+     ["%" format (#+ format)]]
+    [collection
+     ["." array (#+ Array)]
+     ["." list ("#\." functor)]]]
+   [math
+    ["r" random]]
+   ["." ffi (#+ import:)]
+   [tool
+    [compiler
+     ["." analysis]
+     ["." synthesis]]]]
+  [///
+   [common (#+ Runner)]])
+
+(import: java/lang/Integer)
+
+(def: (variant run)
+  (-> Runner Test)
+  (do {! r.monad}
+    [num-tags (|> r.nat (\ ! map (|>> (n.% 10) (n.max 2))))
+     tag-in (|> r.nat (\ ! map (n.% num-tags)))
+     #let [last?-in (|> num-tags dec (n.= tag-in))]
+     value-in r.i64]
+    (_.test (%.name (name-of synthesis.variant))
+            (|> (synthesis.variant {#analysis.lefts (if last?-in
+                                                      (dec tag-in)
+                                                      tag-in)
+                                    #analysis.right? last?-in
+                                    #analysis.value (synthesis.i64 value-in)})
+                (run "variant")
+                (case> (#try.Success valueT)
+                       (let [valueT (:as (Array Any) valueT)]
+                         (and (n.= 3 (array.size valueT))
+                              (let [tag-out (:as java/lang/Integer (maybe.assume (array.read 0 valueT)))
+                                    last?-out (array.read 1 valueT)
+                                    value-out (:as Any (maybe.assume (array.read 2 valueT)))
+                                    same-tag? (|> tag-out ffi.int-to-long (:as Nat) (n.= tag-in))
+                                    same-flag? (case last?-out
+                                                 (#.Some last?-out')
+                                                 (and last?-in (text\= "" (:as Text last?-out')))
+
+                                                 #.None
+                                                 (not last?-in))
+                                    same-value? (|> value-out (:as Int) (i.= value-in))]
+                                (and same-tag?
+                                     same-flag?
+                                     same-value?))))
+
+                       (#try.Failure _)
+                       false)))))
+
+(def: (tuple run)
+  (-> Runner Test)
+  (do {! r.monad}
+    [size (|> r.nat (\ ! map (|>> (n.% 10) (n.max 2))))
+     tuple-in (r.list size r.i64)]
+    (_.test (%.name (name-of synthesis.tuple))
+            (|> (synthesis.tuple (list\map (|>> synthesis.i64) tuple-in))
+                (run "tuple")
+                (case> (#try.Success tuple-out)
+                       (let [tuple-out (:as (Array Any) tuple-out)]
+                         (and (n.= size (array.size tuple-out))
+                              (list.every? (function (_ [left right])
+                                             (i.= left (:as Int right)))
+                                           (list.zip/2 tuple-in (array.to-list tuple-out)))))
+
+                       (#try.Failure _)
+                       false)))))
+
+(def: #export (spec runner)
+  (-> Runner Test)
+  ($_ _.and
+      (..variant runner)
+      (..tuple runner)
+      ))