From fe9748176371e55b279b965a2f03b3e01509a3c4 Mon Sep 17 00:00:00 2001
From: Eduardo Julian
Date: Fri, 8 Feb 2019 18:50:57 -0400
Subject: Ported some modules to the new test format.

---
 stdlib/source/lux/control/reader.lux            |  37 ++--
 stdlib/source/lux/control/state.lux             |  98 +++++------
 stdlib/source/lux/control/writer.lux            |  43 +++--
 stdlib/source/test/lux.lux                      |   4 -
 stdlib/source/test/lux/control.lux              |  18 +-
 stdlib/source/test/lux/control/apply.lux        |  28 +--
 stdlib/source/test/lux/control/continuation.lux | 137 ++++++++-------
 stdlib/source/test/lux/control/exception.lux    |  43 ++---
 stdlib/source/test/lux/control/functor.lux      |  23 +--
 stdlib/source/test/lux/control/interval.lux     |  35 ++--
 stdlib/source/test/lux/control/monad.lux        |  23 +--
 stdlib/source/test/lux/control/reader.lux       |  81 +++++----
 stdlib/source/test/lux/control/state.lux        | 218 +++++++++++++-----------
 stdlib/source/test/lux/control/writer.lux       |  84 +++++----
 stdlib/source/test/lux/io.lux                   |   6 +-
 15 files changed, 470 insertions(+), 408 deletions(-)

diff --git a/stdlib/source/lux/control/reader.lux b/stdlib/source/lux/control/reader.lux
index d8ce527cc..dc18cb43e 100644
--- a/stdlib/source/lux/control/reader.lux
+++ b/stdlib/source/lux/control/reader.lux
@@ -1,16 +1,28 @@
 (.module:
   [lux #*
    [control
-    [functor (#+ Functor)]
+    ["." functor (#+ Functor)]
     [apply (#+ Apply)]
     ["." monad (#+ do Monad)]]])
 
-## [Types]
 (type: #export (Reader r a)
   {#.doc "Computations that have access to some environmental value."}
   (-> r a))
 
-## [Structures]
+(def: #export ask
+  {#.doc "Get the environment."}
+  (All [r] (Reader r r))
+  (function (_ env) env))
+
+(def: #export (local change proc)
+  {#.doc "Run computation with a locally-modified environment."}
+  (All [r a] (-> (-> r r) (Reader r a) (Reader r a)))
+  (|>> change proc))
+
+(def: #export (run env proc)
+  (All [r a] (-> r (Reader r a) a))
+  (proc env))
+
 (structure: #export functor
   (All [r] (Functor (Reader r)))
   
@@ -39,26 +51,11 @@
     (function (_ env)
       (mma env env))))
 
-## [Values]
-(def: #export ask
-  {#.doc "Get the environment."}
-  (All [r] (Reader r r))
-  (function (_ env) env))
-
-(def: #export (local change proc)
-  {#.doc "Run computation with a locally-modified environment."}
-  (All [r a] (-> (-> r r) (Reader r a) (Reader r a)))
-  (|>> change proc))
-
-(def: #export (run env proc)
-  (All [r a] (-> r (Reader r a) a))
-  (proc env))
-
-(structure: #export (ReaderT monad)
+(structure: #export (with-reader monad)
   {#.doc "Monad transformer for Reader."}
   (All [M] (-> (Monad M) (All [e] (Monad (All [a] (Reader e (M a)))))))
 
-  (def: &functor (F.compose ..functor (get@ #monad.&functor monad)))
+  (def: &functor (functor.compose ..functor (get@ #monad.&functor monad)))
 
   (def: wrap (|>> (:: monad wrap) (:: ..monad wrap)))
   
diff --git a/stdlib/source/lux/control/state.lux b/stdlib/source/lux/control/state.lux
index c0db18a43..afbf28ad1 100644
--- a/stdlib/source/lux/control/state.lux
+++ b/stdlib/source/lux/control/state.lux
@@ -9,39 +9,6 @@
   {#.doc "Stateful computations."}
   (-> s [s a]))
 
-(structure: #export functor
-  (All [s] (Functor (State s)))
-  
-  (def: (map f ma)
-    (function (_ state)
-      (let [[state' a] (ma state)]
-        [state' (f a)]))))
-
-(structure: #export apply
-  (All [s] (Apply (State s)))
-  
-  (def: &functor ..functor)
-
-  (def: (apply ff fa)
-    (function (_ state)
-      (let [[state' f] (ff state)
-            [state'' a] (fa state')]
-        [state'' (f a)]))))
-
-(structure: #export monad
-  (All [s] (Monad (State s)))
-  
-  (def: &functor ..functor)
-
-  (def: (wrap a)
-    (function (_ state)
-      [state a]))
-
-  (def: (join mma)
-    (function (_ state)
-      (let [[state' ma] (mma state)]
-        (ma state')))))
-
 (def: #export get
   {#.doc "Read the current state."}
   (All [s] (State s s))
@@ -78,6 +45,55 @@
   (All [s a] (-> s (State s a) [s a]))
   (action state))
 
+(structure: #export functor
+  (All [s] (Functor (State s)))
+  
+  (def: (map f ma)
+    (function (_ state)
+      (let [[state' a] (ma state)]
+        [state' (f a)]))))
+
+(structure: #export apply
+  (All [s] (Apply (State s)))
+  
+  (def: &functor ..functor)
+
+  (def: (apply ff fa)
+    (function (_ state)
+      (let [[state' f] (ff state)
+            [state'' a] (fa state')]
+        [state'' (f a)]))))
+
+(structure: #export monad
+  (All [s] (Monad (State s)))
+  
+  (def: &functor ..functor)
+
+  (def: (wrap a)
+    (function (_ state)
+      [state a]))
+
+  (def: (join mma)
+    (function (_ state)
+      (let [[state' ma] (mma state)]
+        (ma state')))))
+
+(def: #export (while condition body)
+  (All [s] (-> (State s Bit) (State s Any) (State s Any)))
+  (do ..monad
+    [execute? condition]
+    (if execute?
+      (do @
+        [_ body]
+        (while condition body))
+      (wrap []))))
+
+(def: #export (do-while condition body)
+  (All [s] (-> (State s Bit) (State s Any) (State s Any)))
+  (do ..monad
+    [_ body]
+    (while condition body)))
+
 (structure: (with-state//functor functor)
   (All [M s] (-> (Functor M) (Functor (All [a] (-> s (M [s a]))))))
   
@@ -130,19 +146,3 @@
     (do monad
       [a ma]
       (wrap [state a]))))
-
-(def: #export (while condition body)
-  (All [s] (-> (State s Bit) (State s Any) (State s Any)))
-  (do ..monad
-    [execute? condition]
-    (if execute?
-      (do @
-        [_ body]
-        (while condition body))
-      (wrap []))))
-
-(def: #export (do-while condition body)
-  (All [s] (-> (State s Bit) (State s Any) (State s Any)))
-  (do ..monad
-    [_ body]
-    (while condition body)))
diff --git a/stdlib/source/lux/control/writer.lux b/stdlib/source/lux/control/writer.lux
index 152bc9e71..8b8d7e38f 100644
--- a/stdlib/source/lux/control/writer.lux
+++ b/stdlib/source/lux/control/writer.lux
@@ -2,7 +2,7 @@
   [lux #*
    [control
     monoid
-    [functor (#+ Functor)]
+    ["." functor (#+ Functor)]
     [apply (#+ Apply)]
     ["." monad (#+ Monad do)]]])
 
@@ -11,6 +11,11 @@
   {#log l
    #value a})
 
+(def: #export (write l)
+  {#.doc "Set the log to a particular value."}
+  (All [l] (-> l (Writer l Any)))
+  [l []])
+
 (structure: #export functor
   (All [l]
     (Functor (Writer l)))
@@ -19,7 +24,7 @@
     (let [[log datum] fa]
       [log (f datum)])))
 
-(structure: #export (apply mon)
+(structure: #export (apply monoid)
   (All [l]
     (-> (Monoid l) (Apply (Writer l))))
   
@@ -28,34 +33,29 @@
   (def: (apply ff fa)
     (let [[log1 f] ff
           [log2 a] fa]
-      [(:: mon compose log1 log2) (f a)])))
+      [(:: monoid compose log1 log2) (f a)])))
 
-(structure: #export (monad mon)
+(structure: #export (monad monoid)
   (All [l]
     (-> (Monoid l) (Monad (Writer l))))
   
   (def: &functor ..functor)
 
   (def: (wrap x)
-    [(:: mon identity) x])
+    [(:: monoid identity) x])
 
   (def: (join mma)
     (let [[log1 [log2 a]] mma]
-      [(:: mon compose log1 log2) a])))
+      [(:: monoid compose log1 log2) a])))
 
-(def: #export (log l)
-  {#.doc "Set the log to a particular value."}
-  (All [l] (-> l (Writer l Any)))
-  [l []])
-
-(structure: #export (with-writer Monoid<l> monad)
+(structure: #export (with-writer monoid monad)
   (All [l M] (-> (Monoid l) (Monad M) (Monad (All [a] (M (Writer l a))))))
 
-  (def: &functor (F.compose (get@ #monad.&functor monad) ..functor))
+  (def: &functor (functor.compose (get@ #monad.&functor monad) ..functor))
 
   (def: wrap
-    (let [monad (..monad Monoid<l>)]
-      (|>> (:: monad wrap) (:: monad wrap))))
+    (let [writer (..monad monoid)]
+      (|>> (:: writer wrap) (:: monad wrap))))
   
   (def: (join MlMla)
     (do monad
@@ -64,11 +64,10 @@
                    MlMla)
        ## [l1 Mla] MlMla
        [l2 a] Mla]
-      (wrap [(:: Monoid<l> compose l1 l2) a]))))
+      (wrap [(:: monoid compose l1 l2) a]))))
 
-(def: #export (lift Monoid<l> monad)
-  (All [l M a] (-> (Monoid l) (Monad M) (-> (M a) (M (Writer l a)))))
-  (function (_ ma)
-    (do monad
-      [a ma]
-      (wrap [(:: Monoid<l> identity) a]))))
+(def: #export (lift monoid monad)
+  (All [l M a]
+    (-> (Monoid l) (Monad M)
+        (-> (M a) (M (Writer l a)))))
+  (:: monad map (|>> [(:: monoid identity)])))
diff --git a/stdlib/source/test/lux.lux b/stdlib/source/test/lux.lux
index 08c77a303..adc14e47a 100644
--- a/stdlib/source/test/lux.lux
+++ b/stdlib/source/test/lux.lux
@@ -96,10 +96,6 @@
     ["/." jvm]]
    ["/." control]]
   ## [control
-  ##  ## [continuation (#+)]
-  ##  ## [reader (#+)]
-  ##  ## [writer (#+)]
-  ##  ## [state (#+)]
   ##  ## [parser (#+)]
   ##  ## [thread (#+)]
   ##  ## [region (#+)]
diff --git a/stdlib/source/test/lux/control.lux b/stdlib/source/test/lux/control.lux
index 79dab5322..de2e00a31 100644
--- a/stdlib/source/test/lux/control.lux
+++ b/stdlib/source/test/lux/control.lux
@@ -2,16 +2,22 @@
   [lux #*
    ["_" test (#+ Test)]]
   [/
+   ["/." continuation]
    ["/." exception]
    ["/." interval]
-   ["/." pipe]])
+   ["/." pipe]
+   ["/." reader]
+   ["/." state]
+   ["/." writer]])
 
 (def: #export test
   Test
   ($_ _.and
-      (<| (_.context "/exception Exception-handling.")
-          /exception.test)
-      (<| (_.context "/interval")
-          /interval.test)
+      /continuation.test
+      /exception.test
+      /interval.test
       (<| (_.context "/pipe")
-          /pipe.test)))
+          /pipe.test)
+      /reader.test
+      /state.test
+      /writer.test))
diff --git a/stdlib/source/test/lux/control/apply.lux b/stdlib/source/test/lux/control/apply.lux
index e703ac416..42d2fa8b9 100644
--- a/stdlib/source/test/lux/control/apply.lux
+++ b/stdlib/source/test/lux/control/apply.lux
@@ -12,8 +12,8 @@
   [//
    [functor (#+ Injection Comparison)]])
 
-(def: (identity (^open "_/.") injection comparison)
-  (All [f] (-> (Apply f) (Injection f) (Comparison f) Test))
+(def: (identity injection comparison (^open "_/."))
+  (All [f] (-> (Injection f) (Comparison f) (Apply f) Test))
   (do r.monad
     [sample (:: @ map injection r.nat)]
     (_.test "Identity."
@@ -21,8 +21,8 @@
              (_/apply (injection function.identity) sample)
              sample))))
 
-(def: (homomorphism (^open "_/.") injection comparison)
-  (All [f] (-> (Apply f) (Injection f) (Comparison f) Test))
+(def: (homomorphism injection comparison (^open "_/."))
+  (All [f] (-> (Injection f) (Comparison f) (Apply f) Test))
   (do r.monad
     [sample r.nat
      increase (:: @ map n/+ r.nat)]
@@ -31,8 +31,8 @@
              (_/apply (injection increase) (injection sample))
              (injection (increase sample))))))
 
-(def: (interchange (^open "_/.") injection comparison)
-  (All [f] (-> (Apply f) (Injection f) (Comparison f) Test))
+(def: (interchange injection comparison (^open "_/."))
+  (All [f] (-> (Injection f) (Comparison f) (Apply f) Test))
   (do r.monad
     [sample r.nat
      increase (:: @ map n/+ r.nat)]
@@ -41,8 +41,8 @@
              (_/apply (injection increase) (injection sample))
              (_/apply (injection (function (_ f) (f sample))) (injection increase))))))
 
-(def: (composition (^open "_/.") injection comparison)
-  (All [f] (-> (Apply f) (Injection f) (Comparison f) Test))
+(def: (composition injection comparison (^open "_/."))
+  (All [f] (-> (Injection f) (Comparison f) (Apply f) Test))
   (do r.monad
     [sample r.nat
      increase (:: @ map n/+ r.nat)
@@ -59,12 +59,12 @@
                  (injection decrease)
                  (injection sample))))))
 
-(def: #export (laws apply injection comparison)
-  (All [f] (-> (Apply f) (Injection f) (Comparison f) Test))
+(def: #export (laws injection comparison apply)
+  (All [f] (-> (Injection f) (Comparison f) (Apply f) Test))
   (_.context (%name (name-of /.Apply))
              ($_ _.and
-                 (..identity apply injection comparison)
-                 (..homomorphism apply injection comparison)
-                 (..interchange apply injection comparison)
-                 (..composition apply injection comparison)
+                 (..identity injection comparison apply)
+                 (..homomorphism injection comparison apply)
+                 (..interchange injection comparison apply)
+                 (..composition injection comparison apply)
                  )))
diff --git a/stdlib/source/test/lux/control/continuation.lux b/stdlib/source/test/lux/control/continuation.lux
index 0dbbe7dc5..ec4495a20 100644
--- a/stdlib/source/test/lux/control/continuation.lux
+++ b/stdlib/source/test/lux/control/continuation.lux
@@ -1,77 +1,88 @@
 (.module:
   [lux #*
+   ["_" test (#+ Test)]
    [control
-    ["M" monad (#+ do Monad)]
-    ["&" continuation]]
+    [monad (#+ do)]
+    {[0 #test]
+     [/
+      [".T" functor (#+ Injection Comparison)]
+      [".T" apply]
+      [".T" monad]]}]
    [data
-    ["." number]
+    [number
+     ["." nat]]
+    [text
+     format]
     [collection
      ["." list]]]
-   ["r" math/random]]
-  lux/test)
+   [math
+    ["r" random]]]
+  {1
+   ["." / (#+ Cont)]})
 
-(context: "Continuations"
-  (<| (times 100)
-      (do @
-        [sample r.nat
-         #let [(^open "&/.") &.apply
-               (^open "&/.") &.monad]
-         elems (r.list 3 r.nat)]
-        ($_ seq
-            (test "Can run continuations to compute their values."
-                  (n/= sample (&.run (&/wrap sample))))
-
-            (test "Can use functor."
-                  (n/= (inc sample) (&.run (&/map inc (&/wrap sample)))))
+(def: injection
+  (All [o] (Injection (All [i] (Cont i o))))
+  (|>> /.pending))
 
-            (test "Can use apply."
-                  (n/= (inc sample) (&.run (&/apply (&/wrap inc) (&/wrap sample)))))
+(def: comparison
+  (Comparison Cont)
+  (function (_ == left right)
+    (== (/.run left) (/.run right))))
 
-            (test "Can use monad."
-                  (n/= (inc sample) (&.run (do &.monad
-                                             [func (wrap inc)
-                                              arg (wrap sample)]
-                                             (wrap (func arg))))))
+(def: #export test
+  Test
+  (<| (_.context (%name (name-of /.Cont)))
+      (do r.monad
+        [sample r.nat
+         #let [(^open "_/.") /.apply
+               (^open "_/.") /.monad]
+         elems (r.list 3 r.nat)]
+        ($_ _.and
+            (_.test "Can run continuations to compute their values."
+                    (n/= sample (/.run (_/wrap sample))))
 
-            (test "Can use the current-continuation as a escape hatch."
-                  (n/= (n/* 2 sample)
-                       (&.run (do &.monad
-                                [value (&.call/cc
-                                        (function (_ k)
-                                          (do @
-                                            [temp (k sample)]
-                                            ## If this code where to run,
-                                            ## the output would be
-                                            ## (n/* 4 sample)
-                                            (k temp))))]
-                                (wrap (n/* 2 value))))))
+            (functorT.laws ..injection ..comparison /.functor)
+            (applyT.laws ..injection ..comparison /.apply)
+            (monadT.laws ..injection ..comparison /.monad)
+            
+            (_.test "Can use the current-continuation as a escape hatch."
+                    (n/= (n/* 2 sample)
+                         (/.run (do /.monad
+                                  [value (/.call/cc
+                                          (function (_ k)
+                                            (do @
+                                              [temp (k sample)]
+                                              ## If this code where to run,
+                                              ## the output would be
+                                              ## (n/* 4 sample)
+                                              (k temp))))]
+                                  (wrap (n/* 2 value))))))
 
-            (test "Can use the current-continuation to build a time machine."
-                  (n/= (n/+ 100 sample)
-                       (&.run (do &.monad
-                                [[restart [output idx]] (&.portal [sample 0])]
-                                (if (n/< 10 idx)
-                                  (restart [(n/+ 10 output) (inc idx)])
-                                  (wrap output))))))
+            (_.test "Can use the current-continuation to build a time machine."
+                    (n/= (n/+ 100 sample)
+                         (/.run (do /.monad
+                                  [[restart [output idx]] (/.portal [sample 0])]
+                                  (if (n/< 10 idx)
+                                    (restart [(n/+ 10 output) (inc idx)])
+                                    (wrap output))))))
 
-            (test "Can use delimited continuations with shifting."
-                  (let [(^open "&/.") &.monad
-                        (^open "L/.") (list.equivalence number.equivalence)
-                        visit (: (-> (List Nat)
-                                     (&.Cont (List Nat) (List Nat)))
-                                 (function (visit xs)
-                                   (case xs
-                                     #.Nil
-                                     (&/wrap #.Nil)
+            (_.test "Can use delimited continuations with shifting."
+                    (let [(^open "_/.") /.monad
+                          (^open "list/.") (list.equivalence nat.equivalence)
+                          visit (: (-> (List Nat)
+                                       (Cont (List Nat) (List Nat)))
+                                   (function (visit xs)
+                                     (case xs
+                                       #.Nil
+                                       (_/wrap #.Nil)
 
-                                     (#.Cons x xs')
-                                     (do &.monad
-                                       [output (&.shift (function (_ k)
-                                                          (do @
-                                                            [tail (k xs')]
-                                                            (wrap (#.Cons x tail)))))]
-                                       (visit output)))))]
-                    (L/= elems
-                         (&.run (&.reset (visit elems))))
-                    ))
+                                       (#.Cons x xs')
+                                       (do /.monad
+                                         [output (/.shift (function (_ k)
+                                                            (do @
+                                                              [tail (k xs')]
+                                                              (wrap (#.Cons x tail)))))]
+                                         (visit output)))))]
+                      (list/= elems
+                              (/.run (/.reset (visit elems))))))
             ))))
diff --git a/stdlib/source/test/lux/control/exception.lux b/stdlib/source/test/lux/control/exception.lux
index 434ffc5d0..c56688af3 100644
--- a/stdlib/source/test/lux/control/exception.lux
+++ b/stdlib/source/test/lux/control/exception.lux
@@ -2,34 +2,37 @@
   [lux #*
    [control
     [monad (#+ do)]]
+   [data
+    [text
+     format]]
    [math
     ["r" random]]
    ["_" test (#+ Test)]]
   {1
    ["." / (#+ exception:)]})
 
-(exception: (an-exception))
-
-(exception: (another-exception))
+(exception: an-exception)
+(exception: another-exception)
 
 (def: #export test
   (do r.monad
     [right r.nat
      wrong (r.filter (|>> (n/= right) not) r.nat)]
-    ($_ _.and
-        (_.test "Can catch exceptions."
-                (n/= right
-                     (|> (/.throw an-exception [])
-                         (/.catch an-exception (function (_ ex) right))
-                         (/.otherwise (function (_ ex) wrong)))))
-        (_.test "Can catch multiple exceptions."
-                (n/= right
-                     (|> (/.throw another-exception [])
-                         (/.catch an-exception (function (_ ex) wrong))
-                         (/.catch another-exception (function (_ ex) right))
-                         (/.otherwise (function (_ ex) wrong)))))
-        (_.test "Can handle uncaught exceptions."
-                (n/= right
-                     (|> (/.throw another-exception [])
-                         (/.catch an-exception (function (_ ex) wrong))
-                         (/.otherwise (function (_ ex) right))))))))
+    (<| (_.context (%name (name-of /.Exception)))
+        ($_ _.and
+            (_.test "Can catch exceptions."
+                    (n/= right
+                         (|> (/.throw an-exception [])
+                             (/.catch an-exception (function (_ ex) right))
+                             (/.otherwise (function (_ ex) wrong)))))
+            (_.test "Can catch multiple exceptions."
+                    (n/= right
+                         (|> (/.throw another-exception [])
+                             (/.catch an-exception (function (_ ex) wrong))
+                             (/.catch another-exception (function (_ ex) right))
+                             (/.otherwise (function (_ ex) wrong)))))
+            (_.test "Can handle uncaught exceptions."
+                    (n/= right
+                         (|> (/.throw another-exception [])
+                             (/.catch an-exception (function (_ ex) wrong))
+                             (/.otherwise (function (_ ex) right)))))))))
diff --git a/stdlib/source/test/lux/control/functor.lux b/stdlib/source/test/lux/control/functor.lux
index 66de9d57e..ea0525e04 100644
--- a/stdlib/source/test/lux/control/functor.lux
+++ b/stdlib/source/test/lux/control/functor.lux
@@ -18,8 +18,8 @@
     (-> (-> a a Bit)
         (-> (f a) (f a) Bit))))
 
-(def: (identity (^open "_/.") injection comparison)
-  (All [f] (-> (Functor f) (Injection f) (Comparison f) Test))
+(def: (identity injection comparison (^open "_/."))
+  (All [f] (-> (Injection f) (Comparison f) (Functor f) Test))
   (do r.monad
     [sample (:: @ map injection r.nat)]
     (_.test "Identity."
@@ -27,8 +27,8 @@
              (_/map function.identity sample)
              sample))))
 
-(def: (homomorphism (^open "_/.") injection comparison)
-  (All [f] (-> (Functor f) (Injection f) (Comparison f) Test))
+(def: (homomorphism injection comparison (^open "_/."))
+  (All [f] (-> (Injection f) (Comparison f) (Functor f) Test))
   (do r.monad
     [sample r.nat
      increase (:: @ map n/+ r.nat)]
@@ -37,8 +37,8 @@
              (_/map increase (injection sample))
              (injection (increase sample))))))
 
-(def: (composition (^open "_/.") injection comparison)
-  (All [f] (-> (Functor f) (Injection f) (Comparison f) Test))
+(def: (composition injection comparison (^open "_/."))
+  (All [f] (-> (Injection f) (Comparison f) (Functor f) Test))
   (do r.monad
     [sample (:: @ map injection r.nat)
      increase (:: @ map n/+ r.nat)
@@ -48,10 +48,11 @@
              (|> sample (_/map increase) (_/map decrease))
              (|> sample (_/map (|>> increase decrease)))))))
 
-(def: #export (laws functor injection comparison)
-  (All [f] (-> (Functor f) (Injection f) (Comparison f) Test))
+(def: #export (laws injection comparison functor)
+  (All [f] (-> (Injection f) (Comparison f) (Functor f) Test))
   (_.context (%name (name-of /.Functor))
              ($_ _.and
-                 (..identity functor injection comparison)
-                 (..homomorphism functor injection comparison)
-                 (..composition functor injection comparison))))
+                 (..identity injection comparison functor)
+                 (..homomorphism injection comparison functor)
+                 (..composition injection comparison functor)
+                 )))
diff --git a/stdlib/source/test/lux/control/interval.lux b/stdlib/source/test/lux/control/interval.lux
index 30d0dfa50..4874d3742 100644
--- a/stdlib/source/test/lux/control/interval.lux
+++ b/stdlib/source/test/lux/control/interval.lux
@@ -7,6 +7,8 @@
    [data
     [number
      ["." nat]]
+    [text
+     format]
     [collection
      ["." set]
      ["." list]]]
@@ -215,19 +217,20 @@
 
 (def: #export test
   Test
-  ($_ _.and
-      (equivalenceT.test /.equivalence ..interval)
-      (<| (_.context "Boundaries.")
-          ..boundaries)
-      (<| (_.context "Union.")
-          ..union)
-      (<| (_.context "Intersection.")
-          ..intersection)
-      (<| (_.context "Complement.")
-          ..complement)
-      (<| (_.context "Positioning/location.")
-          ..location)
-      (<| (_.context "Touching intervals.")
-          ..touch)
-      (<| (_.context "Nesting & overlap.")
-          ..overlap)))
+  (<| (_.context (%name (name-of /.Interval)))
+      ($_ _.and
+          (equivalenceT.test /.equivalence ..interval)
+          (<| (_.context "Boundaries.")
+              ..boundaries)
+          (<| (_.context "Union.")
+              ..union)
+          (<| (_.context "Intersection.")
+              ..intersection)
+          (<| (_.context "Complement.")
+              ..complement)
+          (<| (_.context "Positioning/location.")
+              ..location)
+          (<| (_.context "Touching intervals.")
+              ..touch)
+          (<| (_.context "Nesting & overlap.")
+              ..overlap))))
diff --git a/stdlib/source/test/lux/control/monad.lux b/stdlib/source/test/lux/control/monad.lux
index 00a31d2d5..5cb498222 100644
--- a/stdlib/source/test/lux/control/monad.lux
+++ b/stdlib/source/test/lux/control/monad.lux
@@ -10,8 +10,8 @@
   [//
    [functor (#+ Injection Comparison)]])
 
-(def: (left-identity (^open "_/.") injection comparison)
-  (All [f] (-> (Monad f) (Injection f) (Comparison f) Test))
+(def: (left-identity injection comparison (^open "_/."))
+  (All [f] (-> (Injection f) (Comparison f) (Monad f) Test))
   (do r.monad
     [sample r.nat
      morphism (:: @ map (function (_ diff)
@@ -22,8 +22,8 @@
              (|> (injection sample) (_/map morphism) _/join)
              (morphism sample)))))
 
-(def: (right-identity (^open "_/.") injection comparison)
-  (All [f] (-> (Monad f) (Injection f) (Comparison f) Test))
+(def: (right-identity injection comparison (^open "_/."))
+  (All [f] (-> (Injection f) (Comparison f) (Monad f) Test))
   (do r.monad
     [sample r.nat]
     (_.test "Right identity."
@@ -31,8 +31,8 @@
              (|> (injection sample) (_/map _/wrap) _/join)
              (injection sample)))))
 
-(def: (associativity (^open "_/.") injection comparison)
-  (All [f] (-> (Monad f) (Injection f) (Comparison f) Test))
+(def: (associativity injection comparison (^open "_/."))
+  (All [f] (-> (Injection f) (Comparison f) (Monad f) Test))
   (do r.monad
     [sample r.nat
      increase (:: @ map (function (_ diff)
@@ -46,10 +46,11 @@
              (|> (injection sample) (_/map increase) _/join (_/map decrease) _/join)
              (|> (injection sample) (_/map (|>> increase (_/map decrease) _/join)) _/join)))))
 
-(def: #export (laws monad injection comparison)
-  (All [f] (-> (Monad f) (Injection f) (Comparison f) Test))
+(def: #export (laws injection comparison monad)
+  (All [f] (-> (Injection f) (Comparison f) (Monad f) Test))
   (_.context (%name (name-of /.Monad))
              ($_ _.and
-                 (..left-identity monad injection comparison)
-                 (..right-identity monad injection comparison)
-                 (..associativity monad injection comparison))))
+                 (..left-identity injection comparison monad)
+                 (..right-identity injection comparison monad)
+                 (..associativity injection comparison monad)
+                 )))
diff --git a/stdlib/source/test/lux/control/reader.lux b/stdlib/source/test/lux/control/reader.lux
index 638e11519..f1d80f703 100644
--- a/stdlib/source/test/lux/control/reader.lux
+++ b/stdlib/source/test/lux/control/reader.lux
@@ -1,37 +1,56 @@
 (.module:
   [lux #*
-   ["." io]
+   ["." io (#+ IO)]
+   ["_" test (#+ Test)]
    [control
     [monad (#+ do)]
-    pipe
-    ["&" reader]]]
-  lux/test)
+    {[0 #test]
+     [/
+      [".T" functor (#+ Injection Comparison)]
+      [".T" apply]
+      [".T" monad]]}]
+   [data
+    [text
+     format]]
+   [math
+    ["r" random]]]
+  {1
+   ["." / (#+ Reader)]})
 
-(context: "Readers"
-  (let [(^open "&/.") &.apply
-        (^open "&/.") &.monad]
-    ($_ seq
-        (test "" (i/= +123 (&.run +123 &.ask)))
-        (test "" (i/= +246 (&.run +123 (&.local (i/* +2) &.ask))))
-        (test "" (i/= +134 (&.run +123 (&/map inc (i/+ +10)))))
-        (test "" (i/= +10 (&.run +123 (&/wrap +10))))
-        (test "" (i/= +30 (&.run +123 (&/apply (&/wrap (i/+ +10)) (&/wrap +20)))))
-        (test "" (i/= +30 (&.run +123 (do &.monad
-                                        [f (wrap i/+)
-                                         x (wrap +10)
-                                         y (wrap +20)]
-                                        (wrap (f x y)))))))))
+(def: (injection value)
+  (Injection (All [a r] (Reader r a)))
+  (function (_ env)
+    value))
 
-(context: "Monad transformer"
-  (let [(^open "io/.") io.monad]
-    (test "Can add reader functionality to any monad."
-          (|> (: (&.Reader Text (io.IO Int))
-                 (do (&.ReaderT io.monad)
-                   [a (&.lift (io/wrap +123))
-                    b (wrap +456)]
-                   (wrap (i/+ a b))))
-              (&.run "")
-              io.run
-              (case> +579 #1
-                     _    #0)))
-    ))
+(def: comparison
+  (Comparison (All [a r] (Reader r a)))
+  (function (_ == left right)
+    (== (/.run [] left) (/.run [] right))))
+
+(def: #export test
+  Test
+  (<| (_.context (%name (name-of /.Reader)))
+      (do r.monad
+        [sample r.nat
+         factor r.nat]
+        ($_ _.and
+            (_.test "Can query the environment."
+                    (n/= sample
+                         (/.run sample /.ask)))
+            (_.test "Can modify an environment locally."
+                    (n/= (n/* factor sample)
+                         (/.run sample (/.local (n/* factor) /.ask))))
+            (functorT.laws ..injection ..comparison /.functor)
+            (applyT.laws ..injection ..comparison /.apply)
+            (monadT.laws ..injection ..comparison /.monad)
+            
+            (let [(^open "io/.") io.monad]
+              (_.test "Can add reader functionality to any monad."
+                      (|> (: (/.Reader Any (IO Nat))
+                             (do (/.with-reader io.monad)
+                               [a (/.lift (io/wrap sample))
+                                b (wrap factor)]
+                               (wrap (n/* b a))))
+                          (/.run [])
+                          io.run
+                          (n/= (n/* factor sample)))))))))
diff --git a/stdlib/source/test/lux/control/state.lux b/stdlib/source/test/lux/control/state.lux
index 948cbd5bf..044ff11ff 100644
--- a/stdlib/source/test/lux/control/state.lux
+++ b/stdlib/source/test/lux/control/state.lux
@@ -1,117 +1,133 @@
 (.module:
   [lux #*
+   ["_" test (#+ Test)]
    ["." io]
    [control
-    ["M" monad (#+ do Monad)]
-    pipe
-    ["&" state]]
+    [pipe (#+ let>)]
+    [monad (#+ do)]
+    {[0 #test]
+     [/
+      [".T" functor (#+ Injection Comparison)]
+      [".T" apply]
+      [".T" monad]]}]
    [data
-    ["." product]]
+    ["." product]
+    [text
+     format]]
    [math
     ["r" random]]]
-  lux/test)
+  {1
+   ["." / (#+ State)]})
 
 (def: (with-conditions [state output] computation)
-  (-> [Nat Nat] (&.State Nat Nat) Bit)
+  (-> [Nat Nat] (State Nat Nat) Bit)
   (|> computation
-      (&.run state)
+      (/.run state)
       product.right
       (n/= output)))
 
-(context: "Basics"
-  (<| (times 100)
-      (do @
-        [state r.nat
-         value r.nat]
-        ($_ seq
-            (test "Can get the state as a value."
-                  (with-conditions [state state]
-                    &.get))
-            (test "Can replace the state."
-                  (with-conditions [state value]
-                    (do &.monad
-                      [_ (&.put value)]
-                      &.get)))
-            (test "Can update the state."
-                  (with-conditions [state (n/* value state)]
-                    (do &.monad
-                      [_ (&.update (n/* value))]
-                      &.get)))
-            (test "Can use the state."
-                  (with-conditions [state (inc state)]
-                    (&.use inc)))
-            (test "Can use a temporary (local) state."
-                  (with-conditions [state (n/* value state)]
-                    (&.local (n/* value)
-                             &.get)))
-            ))))
+(def: basics
+  (do r.monad
+    [state r.nat
+     value r.nat]
+    ($_ _.and
+        (_.test "Can get the state as a value."
+                (with-conditions [state state]
+                  /.get))
+        (_.test "Can replace the state."
+                (with-conditions [state value]
+                  (do /.monad
+                    [_ (/.put value)]
+                    /.get)))
+        (_.test "Can update the state."
+                (with-conditions [state (n/* value state)]
+                  (do /.monad
+                    [_ (/.update (n/* value))]
+                    /.get)))
+        (_.test "Can use the state."
+                (with-conditions [state (inc state)]
+                  (/.use inc)))
+        (_.test "Can use a temporary (local) state."
+                (with-conditions [state (n/* value state)]
+                  (/.local (n/* value)
+                           /.get)))
+        )))
 
-(context: "Structures"
-  (<| (times 100)
-      (do @
-        [state r.nat
-         value r.nat
-         #let [(^open "&/.") &.functor
-               (^open "&/.") &.apply
-               (^open "&/.") &.monad]]
-        ($_ seq
-            (test "Can use functor."
-                  (with-conditions [state (inc state)]
-                    (&/map inc &.get)))
-            (test "Can use apply."
-                  (and (with-conditions [state value]
-                         (&/wrap value))
-                       (with-conditions [state (n/+ value value)]
-                         (&/apply (&/wrap (n/+ value))
-                                  (&/wrap value)))))
-            (test "Can use monad."
-                  (with-conditions [state (n/+ value value)]
-                    (: (&.State Nat Nat)
-                       (do &.monad
-                         [f (wrap n/+)
-                          x (wrap value)
-                          y (wrap value)]
-                         (wrap (f x y))))))
-            ))))
+(def: (injection value)
+  (All [s] (Injection (State s)))
+  (function (_ state) [state value]))
 
-(context: "Monad transformer"
-  (<| (times 100)
-      (do @
-        [state r.nat
-         left r.nat
-         right r.nat]
-        (let [(^open "io/.") io.monad]
-          (test "Can add state functionality to any monad."
-                (|> (: (&.State' io.IO Nat Nat)
-                       (do (&.monad io.monad)
-                         [a (&.lift io.monad (io/wrap left))
-                          b (wrap right)]
-                         (wrap (n/+ a b))))
-                    (&.run' state)
-                    io.run
-                    (case> [state' output']
-                           (and (n/= state state')
-                                (n/= (n/+ left right) output')))))
-          ))))
+(def: (comparison init)
+  (All [s] (-> s (Comparison (State s))))
+  (function (_ == left right)
+    (== (product.right (/.run init left))
+        (product.right (/.run init right)))))
 
-(context: "Loops"
-  (<| (times 100)
-      (do @
-        [limit (|> r.nat (:: @ map (n/% 10)))
-         #let [condition (do &.monad
-                           [state &.get]
-                           (wrap (n/< limit state)))]]
-        ($_ seq
-            (test "'while' will only execute if the condition is #1."
-                  (|> (&.while condition (&.update inc))
-                      (&.run 0)
-                      (case> [state' output']
-                             (n/= limit state'))))
-            (test "'do-while' will execute at least once."
-                  (|> (&.do-while condition (&.update inc))
-                      (&.run 0)
-                      (case> [state' output']
-                             (or (n/= limit state')
-                                 (and (n/= 0 limit)
-                                      (n/= 1 state'))))))
-            ))))
+(def: structures
+  Test
+  (do r.monad
+    [state r.nat
+     value r.nat
+     #let [(^open "&/.") /.functor
+           (^open "&/.") /.apply
+           (^open "&/.") /.monad]]
+    ($_ _.and
+        (functorT.laws ..injection (..comparison state) /.functor)
+        (applyT.laws ..injection (..comparison state) /.apply)
+        (monadT.laws ..injection (..comparison state) /.monad)
+        )))
+
+(def: loops
+  Test
+  (do r.monad
+    [limit (|> r.nat (:: @ map (n/% 10)))
+     #let [condition (do /.monad
+                       [state /.get]
+                       (wrap (n/< limit state)))]]
+    ($_ _.and
+        (_.test "'while' will only execute if the condition is #1."
+                (|> (/.while condition (/.update inc))
+                    (/.run 0)
+                    (let> [state' output']
+                          (n/= limit state'))))
+        (_.test "'do-while' will execute at least once."
+                (|> (/.do-while condition (/.update inc))
+                    (/.run 0)
+                    (let> [state' output']
+                          (or (n/= limit state')
+                              (and (n/= 0 limit)
+                                   (n/= 1 state'))))))
+        )))
+
+(def: monad-transformer
+  Test
+  (do r.monad
+    [state r.nat
+     left r.nat
+     right r.nat]
+    (let [(^open "io/.") io.monad]
+      (_.test "Can add state functionality to any monad."
+              (|> (: (/.State' io.IO Nat Nat)
+                     (do (/.with-state io.monad)
+                       [a (/.lift io.monad (io/wrap left))
+                        b (wrap right)]
+                       (wrap (n/+ a b))))
+                  (/.run' state)
+                  io.run
+                  (let> [state' output']
+                        (and (n/= state state')
+                             (n/= (n/+ left right) output')))))
+      )))
+
+(def: #export test
+  Test
+  (<| (_.context (%name (name-of /.State)))
+      ($_ _.and
+          (<| (_.context "Basics.")
+              ..basics)
+          (<| (_.context "Structures.")
+              ..structures)
+          (<| (_.context "Loops.")
+              ..loops)
+          (<| (_.context "Monad transformer.")
+              ..monad-transformer))))
diff --git a/stdlib/source/test/lux/control/writer.lux b/stdlib/source/test/lux/control/writer.lux
index b5fb372d8..5c2c47a3e 100644
--- a/stdlib/source/test/lux/control/writer.lux
+++ b/stdlib/source/test/lux/control/writer.lux
@@ -1,45 +1,55 @@
 (.module:
   [lux #*
+   ["_" test (#+ Test)]
    ["." io]
    [control
-    ["M" monad (#+ Monad do)]
-    pipe
-    ["&" writer]]
+    [equivalence (#+ Equivalence)]
+    [monoid (#+ Monoid)]
+    [monad (#+ do)]
+    {[0 #test]
+     [/
+      [".T" functor (#+ Injection Comparison)]
+      [".T" apply]
+      [".T" monad]]}]
    [data
     ["." product]
-    ["." text ("text/." equivalence)]]]
-  lux/test)
+    ["." text ("text/." equivalence)
+     format]]
+   [math
+    ["r" random]]]
+  {1
+   ["." / (#+ Writer)]})
 
-(context: "Writer."
-  (let [(^open "&/.") (&.monad text.monoid)
-        (^open "&/.") (&.apply text.monoid)]
-    ($_ seq
-        (test "Functor respects Writer."
-              (i/= +11 (product.right (&/map inc ["" +10]))))
-        
-        (test "Apply respects Writer."
-              (and (i/= +20 (product.right (&/wrap +20)))
-                   (i/= +30 (product.right (&/apply (&/wrap (i/+ +10)) (&/wrap +20))))))
-        
-        (test "Monad respects Writer."
-              (i/= +30 (product.right (do (&.monad text.monoid)
-                                        [f (wrap i/+)
-                                         a (wrap +10)
-                                         b (wrap +20)]
-                                        (wrap (f a b))))))
-        
-        (test "Can log any value."
-              (text/= "YOLO" (product.left (&.log "YOLO"))))
-        )))
+(def: (injection monoid value)
+  (All [w] (-> (Monoid w) (Injection (Writer w))))
+  [(:: monoid identity) value])
 
-(context: "Monad transformer"
-  (let [lift (&.lift text.monoid io.monad)
-        (^open "io/.") io.monad]
-    (test "Can add writer functionality to any monad."
-          (|> (io.run (do (&.WriterT text.monoid io.monad)
-                        [a (lift (io/wrap +123))
-                         b (wrap +456)]
-                        (wrap (i/+ a b))))
-              (case> ["" +579] #1
-                     _         #0)))
-    ))
+(def: comparison
+  (All [w] (Comparison (Writer w)))
+  (function (_ == [_ left] [_ right])
+    (== left right)))
+
+(def: #export test
+  Test
+  (do r.monad
+    [log (r.ascii 1)]
+    (<| (_.context (%name (name-of /.Writer)))
+        ($_ _.and
+            (_.test "Can write any value."
+                    (text/= log
+                            (product.left (/.write log))))
+
+            (functorT.laws (..injection text.monoid) ..comparison /.functor)
+            (applyT.laws (..injection text.monoid) ..comparison (/.apply text.monoid))
+            (monadT.laws (..injection text.monoid) ..comparison (/.monad text.monoid))
+            
+            (let [lift (/.lift text.monoid io.monad)
+                  (^open "io/.") io.monad]
+              (_.test "Can add writer functionality to any monad."
+                      (|> (io.run (do (/.with-writer text.monoid io.monad)
+                                    [a (lift (io/wrap 123))
+                                     b (wrap 456)]
+                                    (wrap (n/+ a b))))
+                          product.right
+                          (n/= 579))))
+            ))))
diff --git a/stdlib/source/test/lux/io.lux b/stdlib/source/test/lux/io.lux
index a14a240cb..bd9b67306 100644
--- a/stdlib/source/test/lux/io.lux
+++ b/stdlib/source/test/lux/io.lux
@@ -34,6 +34,6 @@
         (_.test "I/O operations won't execute unless they are explicitly run."
                 (exec (/.exit exit-code)
                   true))
-        (functorT.laws /.functor ..injection ..comparison)
-        (applyT.laws /.apply ..injection ..comparison)
-        (monadT.laws /.monad ..injection ..comparison))))
+        (functorT.laws ..injection ..comparison /.functor)
+        (applyT.laws ..injection ..comparison /.apply)
+        (monadT.laws ..injection ..comparison /.monad))))
-- 
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