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(;module:
lux
lux/test
(lux (control monad)
[io]
[math]
["R" random]
(data [text "T/" Eq<Text>]
text/format)
[compiler]
(macro ["s" syntax #+ syntax:])))
(test: "Value identity."
[size (|> R;nat (:: @ map (|>. (n.% +100) (n.max +10))))
x (R;text size)
y (R;text size)]
($_ seq
(assert "Every value is identical to itself, and the 'id' function doesn't change values in any way."
(and (is x x)
(is x (id x))))
(assert "Values created separately can't be identical."
(not (is x y)))
))
(do-template [category rand-gen inc dec even? odd? = < >]
[(test: (format "[" category "] " "Moving up-down or down-up should result in same value.")
[value rand-gen]
(assert "" (and (|> value inc dec (= value))
(|> value dec inc (= value)))))
(test: (format "[" category "] " "(x+1) > x && (x-1) < x")
[value rand-gen]
(assert "" (and (|> value inc (> value))
(|> value dec (< value)))))
(test: (format "[" category "] " "Every odd/even number is surrounded by two of the other kind.")
[value rand-gen]
(assert ""
(if (even? value)
(and (|> value inc odd?)
(|> value dec odd?))
(and (|> value inc even?)
(|> value dec even?)))))]
["Nat" R;nat n.inc n.dec n.even? n.odd? n.= n.< n.>]
["Int" R;int i.inc i.dec i.even? i.odd? i.= i.< i.>]
)
(do-template [category rand-gen = < > <= >= min max]
[(test: (format "[" category "] " "The symmetry of numerical comparisons.")
[x rand-gen
y rand-gen]
(assert ""
(or (= x y)
(if (< y x)
(> x y)
(< x y)))))
(test: (format "[" category "] " "Minimums and maximums.")
[x rand-gen
y rand-gen]
(assert ""
(and (and (<= x (min x y))
(<= y (min x y)))
(and (>= x (max x y))
(>= y (max x y)))
)))]
["Int" R;int i.= i.< i.> i.<= i.>= i.min i.max]
["Nat" R;nat n.= n.< n.> n.<= n.>= n.min n.max]
["Real" R;real r.= r.< r.> r.<= r.>= r.min r.max]
["Deg" R;deg d.= d.< d.> d.<= d.>= d.min d.max]
)
(do-template [category rand-gen = + - * / <%> > <0> <1> <factor> %x <cap> <prep>]
[(test: (format "[" category "] " "Additive identity")
[x rand-gen]
(assert ""
(and (|> x (+ <0>) (= x))
(|> x (- <0>) (= x)))))
(test: (format "[" category "] " "Addition & Substraction")
[x (:: @ map <prep> rand-gen)
y (:: @ map <prep> rand-gen)
#let [x (* <factor> x)
y (* <factor> y)]]
(assert ""
(and (|> x (- y) (+ y) (= x))
(|> x (+ y) (- y) (= x)))))
(test: (format "[" category "] " "Multiplicative identity")
[x rand-gen]
(assert ""
## Skip this test for Deg
## because Deg division loses the last
## 32 bits of precision.
(or (T/= "Deg" category)
(and (|> x (* <1>) (= x))
(|> x (/ <1>) (= x))))))
(test: (format "[" category "] " "Multiplication & Division")
[x (:: @ map <cap> rand-gen)
y (|> rand-gen
(:: @ map <cap>)
(R;filter (|>. (= <0>) not)))
#let [r (<%> y x)
x' (- r x)]]
(assert ""
## Skip this test for Deg
## because Deg division loses the last
## 32 bits of precision.
(or (T/= "Deg" category)
(or (> x' y)
(|> x' (/ y) (* y) (= x'))))
))]
["Nat" R;nat n.= n.+ n.- n.* n./ n.% n.> +0 +1 +1000000 %n (n.% +1000) id]
["Int" R;int i.= i.+ i.- i.* i./ i.% i.> 0 1 1000000 %i (i.% 1000) id]
["Real" R;real r.= r.+ r.- r.* r./ r.% r.> 0.0 1.0 1000000.0 %r id math;floor]
["Deg" R;deg d.= d.+ d.- d.* d./ d.% d.> .0 (_lux_proc ["deg" "max-value"] []) (_lux_proc ["deg" "max-value"] []) %f id id]
)
(do-template [category rand-gen -> <- = <cap> %a %z]
[(test: (format "[" category "] " "Numeric conversions")
[value rand-gen
#let [value (<cap> value)]]
(assert ""
(|> value -> <- (= value))))]
["Int->Nat" R;int int-to-nat nat-to-int i.= (i.% 1000000) %i %n]
["Nat->Int" R;nat nat-to-int int-to-nat n.= (n.% +1000000) %n %i]
["Int->Real" R;int int-to-real real-to-int i.= (i.% 1000000) %i %r]
["Real->Int" R;real real-to-int int-to-real r.= math;floor %r %i]
## [R;real real-to-deg deg-to-real r.= (r.% 1.0) %r %f]
)
(test: "Simple macros and constructs"
($_ seq
(assert "Can write easy loops for iterative programming."
(i.= 1000
(loop [counter 0
value 1]
(if (i.< 3 counter)
(recur (i.inc counter) (i.* 10 value))
value))))
(assert "Can create lists easily through macros."
(and (case (list 1 2 3)
(#;Cons 1 (#;Cons 2 (#;Cons 3 #;Nil)))
true
_
false)
(case (list& 1 2 3 (list 4 5 6))
(#;Cons 1 (#;Cons 2 (#;Cons 3 (#;Cons 4 (#;Cons 5 (#;Cons 6 #;Nil))))))
true
_
false)))
(assert "Can have defaults for Maybe values."
(and (is "yolo" (default "yolo"
#;None))
(is "lol" (default "yolo"
(#;Some "lol")))))
))
(template: (hypotenuse x y)
(i.+ (i.* x x) (i.* y y)))
(test: "Templates"
[x R;int
y R;int]
(assert "Template application is a stand-in for the templated code."
(i.= (i.+ (i.* x x) (i.* y y))
(hypotenuse x y))))
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