Re-named old luxc-jvm to lux-bootstrapper.

9 files changed, 400 insertions, 244 deletions

diff --git a/stdlib/project.clj b/stdlib/project.clj
index dcaec7c4c..62474fea1 100644
--- a/stdlib/project.clj
+++ b/stdlib/project.clj
@@ -20,7 +20,7 @@
 
   :manifest {"lux" ~version}
   :source-paths ["source"]
-  :dependencies [[com.github.luxlang/luxc-jvm ~version]]
+  :dependencies [[com.github.luxlang/lux-bootstrapper ~version]]
   :profiles {:bibliotheca {:description "Standard library for the Lux programming language."
                            :dependencies []
                            :lux {:test "test/lux"}}
diff --git a/stdlib/source/lux.lux b/stdlib/source/lux.lux
index a5ee64cab..8a64392e4 100644
--- a/stdlib/source/lux.lux
+++ b/stdlib/source/lux.lux
@@ -2244,9 +2244,9 @@
          #Nil
          (-> Int Text)
          (if ("lux i64 =" +0 value)
-           "0"
+           "+0"
            (let' [sign (if ("lux i64 <" value +0)
-                         ""
+                         "+"
                          "-")]
                  (("lux check" (-> Int Text Text)
                    (function' recur [input output]
diff --git a/stdlib/source/lux/data/number/frac.lux b/stdlib/source/lux/data/number/frac.lux
index d8bc34f93..34b2d6532 100644
--- a/stdlib/source/lux/data/number/frac.lux
+++ b/stdlib/source/lux/data/number/frac.lux
@@ -417,3 +417,11 @@
       (..- standard)
       ..abs
       (..< margin-of-error)))
+
+(def: #export (mod divisor dividend)
+  (All [m] (-> Frac Frac Frac))
+  (if (..= (..signum divisor) (..signum dividend))
+    (..% divisor dividend)
+    (case (..% divisor dividend)
+      +0.0 +0.0
+      rem (..+ divisor rem))))
diff --git a/stdlib/source/lux/data/number/int.lux b/stdlib/source/lux/data/number/int.lux
index 38a0dc63a..087302b8d 100644
--- a/stdlib/source/lux/data/number/int.lux
+++ b/stdlib/source/lux/data/number/int.lux
@@ -87,7 +87,9 @@
   [(../ param subject)
    (..% param subject)])
 
-(def: #export negate (-> Int Int) (..* -1))
+(def: #export (negate value)
+  (-> Int Int)
+  (..- value +0))
 
 (def: #export (abs x)
   (-> Int Int)
@@ -102,13 +104,13 @@
         ## else
         +1))
 
-(def: #export (mod param subject)
+(def: #export (mod divisor dividend)
   (All [m] (-> Int Int Int))
-  (let [raw (..% param subject)]
-    (if (..< +0 raw)
-      (let [shift (if (..< +0 param) ..- ..+)]
-        (|> raw (shift param)))
-      raw)))
+  (if (..= (..signum divisor) (..signum dividend))
+    (..% divisor dividend)
+    (case (..% divisor dividend)
+      +0 +0
+      rem (..+ divisor rem))))
 
 (def: #export even?
   (-> Int Bit)
@@ -185,23 +187,26 @@
   [minimum        ..min (\ ..interval top)]
   )
 
+(def: -sign "-")
+(def: +sign "+")
+
 (def: (sign!! value)
   (-> Int Text)
   (if (..< +0 value)
-    "-"
-    "+"))
+    ..-sign
+    ..+sign))
 
 (def: (sign?? representation)
   (-> Text (Maybe Int))
-  (case ("lux text char" 0 representation)
-    (^ (char "-"))
-    (#.Some -1)
+  (`` (case ("lux text char" 0 representation)
+        (^ (char (~~ (static ..-sign))))
+        (#.Some -1)
 
-    (^ (char "+"))
-    (#.Some +1)
+        (^ (char (~~ (static ..+sign))))
+        (#.Some +1)
 
-    _
-    #.None))
+        _
+        #.None)))
 
 (def: (int-decode-loop input-size repr sign <base> <to-value> <error>)
   (-> Nat Text Int Int (-> Char (Maybe Nat)) Text (Try Int))
@@ -217,7 +222,7 @@
                (|> output (..* <base>) (..+ (.int digit-value)))))
       (#try.Success (..* sign output)))))
 
-(template [<struct> <base> <to-character> <to-value> <error>]
+(template [<base> <struct> <to-character> <to-value> <error>]
   [(structure: #export <struct>
      (Codec Text Int)
      
@@ -245,10 +250,10 @@
              (#try.Failure <error>))
            (#try.Failure <error>)))))]
 
-  [binary   +2 //nat.binary-character      //nat.binary-value      "Invalid binary syntax for Int: "]
-  [octal    +8 //nat.octal-character       //nat.octal-value       "Invalid octal syntax for Int: "]
-  [decimal +10 //nat.decimal-character     //nat.decimal-value     "Invalid syntax for Int: "]
-  [hex     +16 //nat.hexadecimal-character //nat.hexadecimal-value "Invalid hexadecimal syntax for Int: "]
+  [+02 binary  //nat.binary-character      //nat.binary-value      "Invalid binary syntax for Int: "]
+  [+08 octal   //nat.octal-character       //nat.octal-value       "Invalid octal syntax for Int: "]
+  [+10 decimal //nat.decimal-character     //nat.decimal-value     "Invalid syntax for Int: "]
+  [+16 hex     //nat.hexadecimal-character //nat.hexadecimal-value "Invalid hexadecimal syntax for Int: "]
   )
 
 (structure: #export hash
diff --git a/stdlib/source/program/aedifex.lux b/stdlib/source/program/aedifex.lux
index 06b75afd5..d804fd552 100644
--- a/stdlib/source/program/aedifex.lux
+++ b/stdlib/source/program/aedifex.lux
@@ -5,7 +5,7 @@
    [control
     [pipe (#+ do>)]
     ["." io (#+ IO)]
-    ["." try (#+ Try)]
+    ["." try (#+ Try) ("#\." functor)]
     ["." exception (#+ exception:)]
     [parser
      ["." cli (#+ program:)]
@@ -86,70 +86,80 @@
 
 (program: [{[profile operation] /cli.command}]
   (do {! io.monad}
-    [?profile (/input.read io.monad file.default profile)
-     ?console console.default]
-    (case [?profile ?console]
-      [(#try.Success profile) (#try.Success console)]
-      (let [console (console.async console)]
-        (case operation
-          #/cli.Version
-          (exec (/command/version.do! console profile)
-            (wrap []))
-          
-          #/cli.Clean
-          (exec (/command/clean.do! console (file.async file.default) profile)
-            (wrap []))
+    [?console console.default]
+    (case (try\map console.async ?console)
+      (#try.Failure error)
+      (wrap (log! error))
 
-          #/cli.POM
-          (exec (/command/pom.do! console (file.async file.default) profile)
-            (wrap []))
-          
-          #/cli.Install
-          (exec (/command/install.do! console (file.async file.default) profile)
-            (wrap []))
+      (#try.Success console)
+      (case operation
+        #/cli.Version
+        (exec (/command/version.do! console (\ /.monoid identity))
+          (wrap []))
 
-          (#/cli.Deploy repository identity)
-          (exec (case [(get@ #/.identity profile)
-                       (dictionary.get repository (get@ #/.deploy-repositories profile))]
-                  [(#.Some artifact) (#.Some repository)]
-                  (/command/deploy.do! console
-                                       (/repository.async (/repository.remote repository))
-                                       (file.async file.default)
-                                       identity
-                                       artifact
-                                       profile)
+        _
+        (do !
+          [?profile (/input.read io.monad file.default profile)]
+          (case ?profile
+            (#try.Failure error)
+            (wrap (log! error))
 
-                  [#.None _]
-                  (promise\wrap (exception.throw /.no-identity []))
+            (#try.Success profile)
+            (case operation
+              #/cli.Version
+              (wrap [])
+              
+              #/cli.Clean
+              (exec (/command/clean.do! console (file.async file.default) profile)
+                (wrap []))
+
+              #/cli.POM
+              (exec (/command/pom.do! console (file.async file.default) profile)
+                (wrap []))
+              
+              #/cli.Install
+              (exec (/command/install.do! console (file.async file.default) profile)
+                (wrap []))
 
-                  [_ #.None]
-                  (promise\wrap (exception.throw ..cannot-find-repository [repository (get@ #/.deploy-repositories profile)])))
-            (wrap []))
-          
-          #/cli.Dependencies
-          (exec (/command/deps.do! console (file.async file.default) (..repositories profile) profile)
-            (wrap []))
+              (#/cli.Deploy repository identity)
+              (exec (case [(get@ #/.identity profile)
+                           (dictionary.get repository (get@ #/.deploy-repositories profile))]
+                      [(#.Some artifact) (#.Some repository)]
+                      (/command/deploy.do! console
+                                           (/repository.async (/repository.remote repository))
+                                           (file.async file.default)
+                                           identity
+                                           artifact
+                                           profile)
 
-          (#/cli.Compilation compilation)
-          (case compilation
-            #/cli.Build (exec (..with-dependencies console /command/build.do! profile)
-                          (wrap []))
-            #/cli.Test (exec (..with-dependencies console /command/test.do! profile)
-                         (wrap [])))
+                      [#.None _]
+                      (promise\wrap (exception.throw /.no-identity []))
 
-          (#/cli.Auto auto)
-          (do !
-            [?watcher watch.default]
-            (case ?watcher
-              (#try.Failure error)
-              (wrap (log! error))
+                      [_ #.None]
+                      (promise\wrap (exception.throw ..cannot-find-repository [repository (get@ #/.deploy-repositories profile)])))
+                (wrap []))
               
-              (#try.Success watcher)
-              (exec (case auto
-                      #/cli.Build (..with-dependencies console (/command/auto.do! watcher /command/build.do!) profile)
-                      #/cli.Test (..with-dependencies console (/command/auto.do! watcher /command/test.do!) profile))
-                (wrap []))))))
-      
-      (^or [(#try.Failure error) _]
-           [_ (#try.Failure error)])
-      (wrap (log! error)))))
+              #/cli.Dependencies
+              (exec (/command/deps.do! console (file.async file.default) (..repositories profile) profile)
+                (wrap []))
+
+              (#/cli.Compilation compilation)
+              (case compilation
+                #/cli.Build (exec (..with-dependencies console /command/build.do! profile)
+                              (wrap []))
+                #/cli.Test (exec (..with-dependencies console /command/test.do! profile)
+                             (wrap [])))
+
+              (#/cli.Auto auto)
+              (do !
+                [?watcher watch.default]
+                (case ?watcher
+                  (#try.Failure error)
+                  (wrap (log! error))
+                  
+                  (#try.Success watcher)
+                  (exec (case auto
+                          #/cli.Build (..with-dependencies console (/command/auto.do! watcher /command/build.do!) profile)
+                          #/cli.Test (..with-dependencies console (/command/auto.do! watcher /command/test.do!) profile))
+                    (wrap [])))))
+            ))))))
diff --git a/stdlib/source/program/compositor/import.lux b/stdlib/source/program/compositor/import.lux
index edc0160f5..54227c7f3 100644
--- a/stdlib/source/program/compositor/import.lux
+++ b/stdlib/source/program/compositor/import.lux
@@ -46,9 +46,9 @@
 (def: (import-library system library import)
   (-> (file.System Promise) Library Import (Action Import))
   (do (try.with promise.monad)
-    [library (: (Action (File Promise))
-                (!.use (\ system file) [library]))
-     binary (!.use (\ library content) [])]
+    [file (: (Action (File Promise))
+             (!.use (\ system file) [library]))
+     binary (!.use (\ file content) [])]
     (promise\wrap
      (do {! try.monad}
        [tar (<b>.run tar.parser binary)]
diff --git a/stdlib/source/test/lux/data/number/frac.lux b/stdlib/source/test/lux/data/number/frac.lux
index fd963a3ef..193b4a960 100644
--- a/stdlib/source/test/lux/data/number/frac.lux
+++ b/stdlib/source/test/lux/data/number/frac.lux
@@ -12,9 +12,7 @@
       ["$." monoid]
       ["$." codec]]}]
    [data
-    ["." bit ("#\." equivalence)]
-    [text
-     ["%" format (#+ format)]]]
+    ["." bit ("#\." equivalence)]]
    [math
     ["." random (#+ Random)]]]
   {1
@@ -29,31 +27,6 @@
   (Random Frac)
   (\ random.monad map (|>> (i.% +1,000,000) i.frac) random.int))
 
-(def: signature
-  Test
-  (`` ($_ _.and
-          (_.with-cover [/.equivalence /.=]
-            ($equivalence.spec /.equivalence random.safe-frac))
-          (_.with-cover [/.order /.<]
-            ($order.spec /.order random.safe-frac))
-          (~~ (template [<compose> <monoid>]
-                [(_.with-cover [<monoid> <compose>]
-                   ($monoid.spec /.equivalence <monoid> ..random))]
-
-                [/.+ /.addition]
-                [/.* /.multiplication]
-
-                [/.min /.minimum]
-                [/.max /.maximum]
-                ))
-          (~~ (template [<codec>]
-                [(_.with-cover [<codec>]
-                   ($codec.spec /.equivalence <codec> random.safe-frac))]
-
-                [/.binary] [/.octal] [/.decimal] [/.hex]
-                ))
-          )))
-
 (def: constant
   Test
   (do random.monad
@@ -117,6 +90,31 @@
                  (|> expected r.frac /.rev (r.= expected))))
       ))
 
+(def: signature
+  Test
+  (`` ($_ _.and
+          (_.with-cover [/.equivalence /.=]
+            ($equivalence.spec /.equivalence random.safe-frac))
+          (_.with-cover [/.order /.<]
+            ($order.spec /.order random.safe-frac))
+          (~~ (template [<compose> <monoid>]
+                [(_.with-cover [<monoid> <compose>]
+                   ($monoid.spec /.equivalence <monoid> ..random))]
+
+                [/.+ /.addition]
+                [/.* /.multiplication]
+
+                [/.min /.minimum]
+                [/.max /.maximum]
+                ))
+          (~~ (template [<codec>]
+                [(_.with-cover [<codec>]
+                   ($codec.spec /.equivalence <codec> random.safe-frac))]
+
+                [/.binary] [/.octal] [/.decimal] [/.hex]
+                ))
+          )))
+
 (with-expansions [<jvm> (as-is (host.import: java/lang/Double
                                  ["#::."
                                   (#static doubleToRawLongBits #manual [double] long)
@@ -128,92 +126,104 @@
   Test
   (<| (_.covering /._)
       (_.with-cover [.Frac])
-      (`` ($_ _.and
-              (do random.monad
-                [left random.safe-frac
-                 right random.safe-frac]
-                ($_ _.and
-                    (_.cover [/.>]
-                             (bit\= (/.> left right)
-                                    (/.< right left)))
-                    (_.cover [/.<= /.>=]
-                             (bit\= (/.<= left right)
-                                    (/.>= right left)))
-                    ))
-              (do random.monad
-                [left ..random
-                 right ..random]
-                ($_ _.and
-                    (_.cover [/.%]
-                             (let [rem (/.% left right)
-                                   div (|> right (/.- rem) (/./ left))]
-                               (/.= right
-                                    (|> div (/.* left) (/.+ rem)))))
-                    (_.cover [/./%]
-                             (let [[div rem] (/./% left right)]
-                               (and (/.= div (/./ left right))
-                                    (/.= rem (/.% left right)))))
-                    ))
-              (do random.monad
-                [sample random.safe-frac]
-                ($_ _.and
-                    (_.cover [/.-]
-                             (and (/.= +0.0 (/.- sample sample))
-                                  (/.= sample (/.- +0.0 sample))
-                                  (/.= (/.negate sample)
-                                       (/.- sample +0.0))))
-                    (_.cover [/./]
-                             (and (/.= +1.0 (/./ sample sample))
-                                  (/.= sample (/./ +1.0 sample))))
-                    (_.cover [/.abs]
-                             (bit\= (/.> sample (/.abs sample))
-                                    (/.negative? sample)))
-                    (_.cover [/.signum]
-                             (/.= (/.abs sample)
-                                  (/.* (/.signum sample) sample)))
-                    ))
-              (with-expansions [<jvm> ($_ _.and
-                                          (do random.monad
-                                            [expected random.frac]
-                                            (_.cover [/.to-bits]
-                                                     (n.= (.nat (java/lang/Double::doubleToRawLongBits expected))
-                                                          (/.to-bits expected))))
-                                          (do random.monad
-                                            [sample random.i64]
-                                            (_.cover [/.from-bits]
-                                                     (let [expected (java/lang/Double::longBitsToDouble sample)
-                                                           actual (/.from-bits sample)]
-                                                       (or (/.= expected actual)
-                                                           (and (/.not-a-number? expected)
-                                                                (/.not-a-number? actual))))))
-                                          )]
-                (for {@.old <jvm>
-                      @.jvm <jvm>}
-                     (do random.monad
-                       [expected random.frac]
-                       (_.cover [/.to-bits /.from-bits]
-                                (let [actual (|> expected /.to-bits /.from-bits)]
-                                  (or (/.= expected actual)
-                                      (and (/.not-a-number? expected)
-                                           (/.not-a-number? actual))))))))
-              (do random.monad
-                [sample random.frac]
-                (_.cover [/.hash]
-                         (n.= (/.to-bits sample)
-                              (\ /.hash hash sample))))
-              (do random.monad
-                [expected random.safe-frac]
-                (_.cover [/.negate]
-                         (let [subtraction!
-                               (/.= +0.0 (/.+ (/.negate expected) expected))
+      ($_ _.and
+          (do random.monad
+            [left random.safe-frac
+             right random.safe-frac]
+            ($_ _.and
+                (_.cover [/.>]
+                         (bit\= (/.> left right)
+                                (/.< right left)))
+                (_.cover [/.<= /.>=]
+                         (bit\= (/.<= left right)
+                                (/.>= right left)))
+                ))
+          (do random.monad
+            [sample random.safe-frac]
+            ($_ _.and
+                (_.cover [/.-]
+                         (and (/.= +0.0 (/.- sample sample))
+                              (/.= sample (/.- +0.0 sample))
+                              (/.= (/.negate sample)
+                                   (/.- sample +0.0))))
+                (_.cover [/./]
+                         (and (/.= +1.0 (/./ sample sample))
+                              (/.= sample (/./ +1.0 sample))))
+                (_.cover [/.abs]
+                         (bit\= (/.> sample (/.abs sample))
+                                (/.negative? sample)))
+                (_.cover [/.signum]
+                         (/.= (/.abs sample)
+                              (/.* (/.signum sample) sample)))
+                ))
+          (do random.monad
+            [left ..random
+             right ..random]
+            ($_ _.and
+                (_.cover [/.%]
+                         (let [rem (/.% left right)
+                               div (|> right (/.- rem) (/./ left))]
+                           (/.= right
+                                (|> div (/.* left) (/.+ rem)))))
+                (_.cover [/./%]
+                         (let [[div rem] (/./% left right)]
+                           (and (/.= div (/./ left right))
+                                (/.= rem (/.% left right)))))
+                (_.cover [/.mod]
+                         (and (/.= (/.signum left)
+                                   (/.signum (/.mod left right)))
+                              (/.= (/.signum right)
+                                   (/.signum (/.% left right)))
+                              (if (/.= (/.signum left) (/.signum right))
+                                (/.= (/.% left right)
+                                     (/.mod left right))
+                                (or (and (/.= +0.0 (/.% left right))
+                                         (/.= +0.0 (/.mod left right)))
+                                    (/.= (/.+ left (/.% left right))
+                                         (/.mod left right))))))
+                ))
+          (with-expansions [<jvm> ($_ _.and
+                                      (do random.monad
+                                        [expected random.frac]
+                                        (_.cover [/.to-bits]
+                                                 (n.= (.nat (java/lang/Double::doubleToRawLongBits expected))
+                                                      (/.to-bits expected))))
+                                      (do random.monad
+                                        [sample random.i64]
+                                        (_.cover [/.from-bits]
+                                                 (let [expected (java/lang/Double::longBitsToDouble sample)
+                                                       actual (/.from-bits sample)]
+                                                   (or (/.= expected actual)
+                                                       (and (/.not-a-number? expected)
+                                                            (/.not-a-number? actual))))))
+                                      )]
+            (for {@.old <jvm>
+                  @.jvm <jvm>}
+                 (do random.monad
+                   [expected random.frac]
+                   (_.cover [/.to-bits /.from-bits]
+                            (let [actual (|> expected /.to-bits /.from-bits)]
+                              (or (/.= expected actual)
+                                  (and (/.not-a-number? expected)
+                                       (/.not-a-number? actual))))))))
+          (do random.monad
+            [expected random.safe-frac]
+            (_.cover [/.negate]
+                     (let [subtraction!
+                           (/.= +0.0 (/.+ (/.negate expected) expected))
 
-                               inverse!
-                               (|> expected /.negate /.negate (/.= expected))]
-                           (and subtraction!
-                                inverse!))))
+                           inverse!
+                           (|> expected /.negate /.negate (/.= expected))]
+                       (and subtraction!
+                            inverse!))))
+          (do random.monad
+            [sample random.frac]
+            (_.cover [/.hash]
+                     (n.= (/.to-bits sample)
+                          (\ /.hash hash sample))))
 
-              ..constant
-              ..predicate
-              ..conversion
-              ..signature
-              ))))
+          ..constant
+          ..predicate
+          ..conversion
+          ..signature
+          )))
diff --git a/stdlib/source/test/lux/data/number/i64.lux b/stdlib/source/test/lux/data/number/i64.lux
index 89dc6a669..a9cddc921 100644
--- a/stdlib/source/test/lux/data/number/i64.lux
+++ b/stdlib/source/test/lux/data/number/i64.lux
@@ -118,18 +118,20 @@
                #let [spare (n.- size /.width)]
                offset (\ ! map (n.% spare) random.nat)]
               (_.cover [/.region]
-                       (\= (|> pattern
-                               ## NNNNYYYYNNNN
-                               (/.logic-right-shift offset)
-                               ## ____NNNNYYYY
-                               (/.left-shift spare)
-                               ## YYYY________
-                               (/.logic-right-shift spare)
-                               ## ________YYYY
-                               (/.left-shift offset)
-                               ## ____YYYY____
-                               )
-                           (/.and (/.region size offset) pattern))))
+                       (case size
+                         0 (\= /.false (/.region size offset))
+                         _ (\= (|> pattern
+                                   ## NNNNYYYYNNNN
+                                   (/.logic-right-shift offset)
+                                   ## ____NNNNYYYY
+                                   (/.left-shift spare)
+                                   ## YYYY________
+                                   (/.logic-right-shift spare)
+                                   ## ________YYYY
+                                   (/.left-shift offset)
+                                   ## ____YYYY____
+                                   )
+                               (/.and (/.region size offset) pattern)))))
             ))))
 
 (def: sub
diff --git a/stdlib/source/test/lux/data/number/int.lux b/stdlib/source/test/lux/data/number/int.lux
index 680def4f5..31b732b88 100644
--- a/stdlib/source/test/lux/data/number/int.lux
+++ b/stdlib/source/test/lux/data/number/int.lux
@@ -1,6 +1,5 @@
 (.module:
   [lux #*
-   ["%" data/text/format (#+ format)]
    ["_" test (#+ Test)]
    [abstract
     [monad (#+ do)]
@@ -12,38 +11,160 @@
       ["$." interval]
       ["$." monoid]
       ["$." codec]]}]
+   [data
+    ["." bit ("#\." equivalence)]
+    [number
+     ["f" frac]
+     ["." i64 ("#\." hash)]]]
    [math
-    ["r" random]]]
+    ["." random]]]
   {1
-   ["." /
-    //]})
+   ["." /]})
 
-(def: #export test
+(def: signature
   Test
-  (<| (_.context (%.name (name-of /._)))
-      (`` ($_ _.and
-              ($equivalence.spec /.equivalence r.int)
-              ($order.spec /.order r.int)
-              ($enum.spec /.enum r.int)
-              ($interval.spec /.interval r.int)
-              (~~ (template [<monoid>]
-                    [(<| (_.context (%.name (name-of <monoid>)))
-                         ($monoid.spec /.equivalence <monoid> r.int))]
+  (`` ($_ _.and
+          (_.with-cover [/.equivalence /.=]
+            ($equivalence.spec /.equivalence random.int))
+          (_.with-cover [/.order /.<]
+            ($order.spec /.order random.int))
+          (_.with-cover [/.enum]
+            ($enum.spec /.enum random.int))
+          (_.with-cover [/.interval]
+            ($interval.spec /.interval random.int))
+          (~~ (template [<compose> <monoid>]
+                [(_.with-cover [<monoid> <compose>]
+                   ($monoid.spec /.equivalence <monoid> random.int))]
+                
+                [/.+ /.addition]
+                [/.* /.multiplication]
+
+                [/.min /.minimum]
+                [/.max /.maximum]
+                ))
+          (~~ (template [<codec>]
+                [(_.with-cover [<codec>]
+                   ($codec.spec /.equivalence <codec> random.int))]
 
-                    [/.addition] [/.multiplication] [/.minimum] [/.maximum]
-                    ))
-              (~~ (template [<codec>]
-                    [(<| (_.context (%.name (name-of /.binary)))
-                         ($codec.spec /.equivalence <codec> r.int))]
+                [/.binary] [/.octal] [/.decimal] [/.hex]
+                ))
+          )))
+
+(def: predicate
+  Test
+  (do {! random.monad}
+    [sample random.int
+     shift (\ ! map /.abs random.int)]
+    ($_ _.and
+        (_.cover [/.negative?]
+                 (bit\= (/.negative? sample)
+                        (/.< +0 sample)))
+        (_.cover [/.positive?]
+                 (bit\= (/.positive? sample)
+                        (/.> +0 sample)))
+        (_.cover [/.zero?]
+                 (bit\= (/.zero? sample)
+                        (/.= +0 sample)))
+        (_.cover [/.even? /.odd?]
+                 (bit\= (/.even? sample)
+                        (not (/.odd? sample))))
+        )))
+
+(def: #export test
+  Test
+  (<| (_.covering /._)
+      (_.with-cover [.Int])
+      ($_ _.and
+          (do random.monad
+            [sample random.int]
+            ($_ _.and
+                (_.cover [/.-]
+                         (and (/.= +0 (/.- sample sample))
+                              (/.= sample (/.- +0 sample))
+                              (/.= (/.negate sample)
+                                   (/.- sample +0))))
+                (_.cover [/./]
+                         (and (/.= +1 (/./ sample sample))
+                              (/.= sample (/./ +1 sample))))
+                (_.cover [/.abs]
+                         (bit\= (/.> sample (/.abs sample))
+                                (/.negative? sample)))
+                (_.cover [/.signum]
+                         (/.= (/.abs sample)
+                              (/.* (/.signum sample) sample)))
+                ))
+          (do random.monad
+            [left random.int
+             right random.int]
+            ($_ _.and
+                (_.cover [/.>]
+                         (bit\= (/.> left right)
+                                (/.< right left)))
+                (_.cover [/.<= /.>=]
+                         (bit\= (/.<= left right)
+                                (/.>= right left)))
+                ))
+          (do random.monad
+            [left (random.filter (|>> (/.= +0) not)
+                                 random.int)
+             right random.int]
+            ($_ _.and
+                (_.cover [/.%]
+                         (let [rem (/.% left right)
+                               div (|> right (/.- rem) (/./ left))]
+                           (/.= right
+                                (|> div (/.* left) (/.+ rem)))))
+                (_.cover [/./%]
+                         (let [[div rem] (/./% left right)]
+                           (and (/.= div (/./ left right))
+                                (/.= rem (/.% left right)))))
+                (_.cover [/.mod]
+                         (and (/.= (/.signum left)
+                                   (/.signum (/.mod left right)))
+                              (/.= (/.signum right)
+                                   (/.signum (/.% left right)))
+                              (if (/.= (/.signum left) (/.signum right))
+                                (/.= (/.% left right)
+                                     (/.mod left right))
+                                (or (and (/.= +0 (/.% left right))
+                                         (/.= +0 (/.mod left right)))
+                                    (/.= (/.+ left (/.% left right))
+                                         (/.mod left right))))))
+                ))
+          (do {! random.monad}
+            [#let [random (\ ! map (/.% +1,000) random.int)]
+             left random
+             right random]
+            ($_ _.and
+                (_.cover [/.gcd]
+                         (let [gcd (/.gcd left right)]
+                           (and (/.= +0 (/.% gcd left))
+                                (/.= +0 (/.% gcd right)))))
+                (_.cover [/.lcm]
+                         (let [lcm (/.lcm left right)]
+                           (and (/.= +0 (/.% left lcm))
+                                (/.= +0 (/.% right lcm)))))
+                ))
+          (do random.monad
+            [expected random.int]
+            (_.cover [/.negate]
+                     (let [subtraction!
+                           (/.= +0 (/.+ (/.negate expected) expected))
 
-                    [/.binary] [/.octal] [/.decimal] [/.hex]
-                    ))
+                           inverse!
+                           (|> expected /.negate /.negate (/.= expected))]
+                       (and subtraction!
+                            inverse!))))
+          (do {! random.monad}
+            [expected (\ ! map (/.% +1,000,000) random.int)]
+            (_.cover [/.frac]
+                     (|> expected /.frac f.int (/.= expected))))
+          (do random.monad
+            [sample random.int]
+            (_.cover [/.hash]
+                     (i64\= (i64\hash sample)
+                            (\ /.hash hash sample))))
 
-              (_.test "Alternate notations."
-                      (and (/.= (bin "+11001001")
-                                (bin "+11,00,10,01"))
-                           (/.= (oct "-615243")
-                                (oct "-615,243"))
-                           (/.= (hex "+deadBEEF")
-                                (hex "+dead,BEEF"))))
-              ))))
+          ..predicate
+          ..signature
+          )))