From 9e87e07dc32e2c8acc5d95d2e56babded93fc7ac Mon Sep 17 00:00:00 2001
From: Eduardo Julian
Date: Fri, 27 Jan 2017 06:54:08 -0400
Subject: - Added Number implementation for Complex.

---
 stdlib/test/test/lux/math/complex.lux | 35 ++++++++++++++++++++++++-----------
 1 file changed, 24 insertions(+), 11 deletions(-)

(limited to 'stdlib/test')

diff --git a/stdlib/test/test/lux/math/complex.lux b/stdlib/test/test/lux/math/complex.lux
index 487e7ba59..0cb5be426 100644
--- a/stdlib/test/test/lux/math/complex.lux
+++ b/stdlib/test/test/lux/math/complex.lux
@@ -64,25 +64,27 @@
   ($_ seq
       (assert "Absolute value of complex >= absolute value of any of the parts."
               (let [r+i (&;complex real imaginary)
-                    abs (&;c.abs r+i)]
+                    abs (get@ #&;real (&;c.abs r+i))]
                 (and (r.>= (r/abs real) abs)
                      (r.>= (r/abs imaginary) abs))))
 
       (assert "The absolute value of a complex number involving a NaN on either dimension, results in a NaN value."
-              (and (number;nan? (&;c.abs (&;complex number;nan imaginary)))
-                   (number;nan? (&;c.abs (&;complex real number;nan)))))
+              (and (number;nan? (get@ #&;real (&;c.abs (&;complex number;nan imaginary))))
+                   (number;nan? (get@ #&;real (&;c.abs (&;complex real number;nan))))))
 
       (assert "The absolute value of a complex number involving an infinity on either dimension, results in an infinite value."
-              (and (r.= number;+inf (&;c.abs (&;complex number;+inf imaginary)))
-                   (r.= number;+inf (&;c.abs (&;complex real number;+inf)))
-                   (r.= number;+inf (&;c.abs (&;complex number;-inf imaginary)))
-                   (r.= number;+inf (&;c.abs (&;complex real number;-inf)))))
+              (and (r.= number;+inf (get@ #&;real (&;c.abs (&;complex number;+inf imaginary))))
+                   (r.= number;+inf (get@ #&;real (&;c.abs (&;complex real number;+inf))))
+                   (r.= number;+inf (get@ #&;real (&;c.abs (&;complex number;-inf imaginary))))
+                   (r.= number;+inf (get@ #&;real (&;c.abs (&;complex real number;-inf))))))
       ))
 
 (test: "Addidion, substraction, multiplication and division"
   [x gen-complex
    y gen-complex
-   factor gen-dim]
+   factor gen-dim
+   #let [rem (&;c.% (&;complex 3.0 5.0)
+                    (&;complex 6.0 4.0))]]
   ($_ seq
       (assert "Adding 2 complex numbers is the same as adding their parts."
               (let [z (&;c.+ y x)]
@@ -109,6 +111,17 @@
 
       (assert "Scalar division is the inverse of scalar multiplication."
               (|> x (&;c.*' factor) (&;c./' factor) (within? margin-of-error x)))
+
+      (assert "If you subtract the remainder, all divisions must be exact."
+              (let [rem (&;c.% y x)
+                    quotient (|> x (&;c.- rem) (&;c./ y))
+                    floored (|> quotient
+                                (update@ #&;real math;floor)
+                                (update@ #&;imaginary math;floor))
+                    (^open "&/") &;Codec<Text,Complex>]
+                (within? 0.000000000001
+                         x
+                         (|> quotient (&;c.* y) (&;c.+ rem)))))
       ))
 
 (test: "Conjugate, reciprocal, signum, negation"
@@ -128,7 +141,7 @@
               (|> x (&;c.* (&;reciprocal x)) (within? margin-of-error &;one)))
 
       (assert "Absolute value of signum is always sqrt(2), 1 or 0."
-              (let [signum-abs (|> x &;c.signum &;c.abs)]
+              (let [signum-abs (|> x &;c.signum &;c.abs (get@ #&;real))]
                 (or (r.= 0.0 signum-abs)
                     (r.= 1.0 signum-abs)
                     (r.= (math;sqrt 2.0) signum-abs))))
@@ -140,8 +153,8 @@
                      (&;c.= back-again x))))
 
       (assert "Negation doesn't change the absolute value."
-              (r.= (&;c.abs x)
-                   (&;c.abs (&;c.negate x))))
+              (r.= (get@ #&;real (&;c.abs x))
+                   (get@ #&;real (&;c.abs (&;c.negate x)))))
       ))
 
 ## ## Don't know how to test complex trigonometry properly.
-- 
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