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Main.purs
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Main.purs
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module Test.Main (main) where
import Prelude hiding (degree)
import Effect (Effect)
import Effect.Aff (Aff, launchAff_)
import Data.Decimal (fromNumber)
import Data.Either (Either(..))
import Data.Foldable (traverse_, for_, intercalate)
import Data.List (List(..), (:))
import Data.NonEmpty ((:|))
import Data.Map (insert, keys)
import Test.Spec (describe, it)
import Test.Spec.Assertions (shouldEqual, fail)
import Test.Spec.Reporter (consoleReporter)
import Test.Spec.Runner (runSpec)
import Parsing (Position(..), parseErrorMessage, parseErrorPosition)
import Quantities ((./), (.*), milli, nano, meter, inch, hour, minute, kilo,
mile, gram, second, deci, tera, hertz, degree, radian,
day, tonne, euro)
import Insect.Language (BinOp(..), Expression(..), Statement(..))
import Insect.Parser (Dictionary(..), DictEntry, (==>), prefixDict,
normalUnitDict, imperialUnitDict, parseInsect)
import Insect.Environment (StorageType(..), StoredValue(..), Environment,
initialEnvironment)
import Insect.Format (format, fmtPlain)
import Insect.PrettyPrint (pretty)
import Insect (repl)
shouldParseAs ∷ Statement → String → Aff Unit
shouldParseAs expected input =
case parseInsect initialEnvironment input of
Left err →
case parseErrorPosition err of
Position pos →
fail $ "Parse error for input '" <> input <> "': "
<> parseErrorMessage err
<> " at position "
<> show pos.column
Right output →
unless (output == expected) do
fail $ "Unexpected result:\n" <>
"Input: '" <> input <> "'\n" <>
"Output: " <> show output <> "\n" <>
"Expected: " <> show expected <> "\n"
allParseAs ∷ Statement → Array String → Aff Unit
allParseAs expected = traverse_ (shouldParseAs expected)
shouldFail ∷ String → Aff Unit
shouldFail input =
case parseInsect initialEnvironment input of
Left _ → pure unit
Right _ → fail $ "input is expected to throw a parse error: '" <> input <> "'"
expectOutput ∷ Environment → String → String → Aff Unit
expectOutput env expected inp =
let { msg: out } = repl fmtPlain env inp
in
unless (out == expected) do
fail $ "Unexpected result:\n" <>
"Input: '" <> inp <> "'\n" <>
"Output: '" <> out <> "'\n" <>
"Expected: '" <> expected <> "'\n"
prettyPrintCheck ∷ String → Aff Unit
prettyPrintCheck input =
case parseInsect initialEnvironment input of
Left err →
case parseErrorPosition err of
Position pos →
fail $ "Parse error for input '" <> input <> "': "
<> parseErrorMessage err
<> " at position "
<> show pos.column
Right output@(Expression expr) →
shouldParseAs output (format fmtPlain (pretty expr))
_ → fail "Input is not an expression"
main ∷ Effect Unit
main = launchAff_ $ runSpec [consoleReporter] do
-- Helper to construct scalars
let scalar n = Scalar (fromNumber n)
-- Helper to construct quantities
let q s u = BinOp Mul (scalar s) (Unit u)
-- The way we use it, `test` makes more sense than `it`.
let test = it
describe "Parser - Numbers" do
test "Simple numbers" do
allParseAs (Expression (scalar 1.0))
[ "1"
, "1.0"
, " 1 "
, " 1.0000 "
, " +1.0 "
, "+1"
]
allParseAs (Expression (scalar 3.5))
[ "3.5"
, " 3.5 "
, "3.50"
, "+3.50"
]
allParseAs (Expression (scalar 0.2))
[ "0.2"
, " 0.2 "
, "+0.2 "
, ".2"
, "+.2"
]
allParseAs (Expression (Negate (scalar 0.61)))
[ "-0.61"
, "-.61"
, "- .61"
]
shouldParseAs (Expression (scalar 0.05)) ".05"
shouldFail "123.."
shouldFail "0.."
shouldFail ".0."
shouldFail "."
shouldFail ". 2"
shouldFail "..2"
test "Large numbers" do
allParseAs (Expression (scalar 1234567890000000.0))
[ "1234567890000000"
, "1234567890000000.0"
, "+1234567890000000.0"
]
test "Negative numbers" do
shouldParseAs (Expression (Negate (scalar 123.45)))
"-123.45"
test "Exponential notation" do
shouldParseAs (Expression (Negate (scalar 1.3e13)))
"-1.3e13"
shouldParseAs (Expression (scalar 2.7e-3))
"2.7e-3"
shouldFail "123e+"
shouldFail "123e-"
test "Hexadecimal, octal and binary numbers" do
allParseAs (Expression (scalar 106.0))
[ "0x6A"
, "0X6a"
, "0b1101010"
, "0B1101010"
, "0o152"
, "0O152"
]
allParseAs (Expression (scalar 256.0))
[ "0x4p6"
, "0b100p6"
, "0o10p5"
]
allParseAs (Expression (Negate (scalar 3.0)))
[ "-0x3"
, "-0b11"
, "-0o3"
]
allParseAs (Expression (scalar 1.0))
[ "0x2p-1"
, "0b10p-1"
, "0o2p-1"
]
shouldParseAs (Expression (BinOp Add (scalar 12.75) (BinOp Sub (scalar 13.125) (scalar 18.5))))
"0xC.C + 0o15.1 - 0b10.01010p3"
shouldParseAs (Expression (scalar 481.65625)) "0x1E1.a8"
shouldFail "0xG"
shouldFail "0oG"
shouldFail "0oA"
shouldFail "0b2"
shouldFail "0be"
shouldFail "0x1p+"
shouldFail "0x1p-"
shouldFail "0x5.."
describe "Parser - Units (this may take some time)" do
test "Simple" do
allParseAs (Expression (Unit meter))
[ "m"
, " m "
, "meter"
, "meters"
, "metre"
, "metres"
]
allParseAs (Expression (Unit inch))
[ "in"
, " in "
, "inch"
, "inches"
]
allParseAs (Expression (Unit degree))
[ "°"
, " ° "
, "deg"
, "degree"
, "degrees"
]
let
unp ∷ ∀ a. Dictionary a → Array (DictEntry a)
unp (Dictionary dict) = dict
test "All imperial units" do
for_ (unp imperialUnitDict) \(unit ==> unitStrs) →
allParseAs (Expression (Unit unit))
unitStrs
test "All normal units" do
for_ (unp normalUnitDict) \(unit ==> unitStrs) →
allParseAs (Expression (Unit unit))
unitStrs
for_ (unp prefixDict) \(prefix ==> prefixStrs) →
test ("Testing all units with prefix: " <> intercalate ", " prefixStrs) do
for_ (unp normalUnitDict) \(unit ==> unitStrs) →
allParseAs (Expression (Unit (prefix unit)))
((<>) <$> prefixStrs <*> unitStrs)
test "Special cases" do
allParseAs (Expression (Unit day))
[ "d"
, " d "
]
allParseAs (Expression (Unit tonne))
[ "t"
, " t "
]
describe "Parser - Quantities" do
test "Simple" do
allParseAs (Expression (q 2.3 meter))
[ "2.3*m"
, " 2.3 * m "
, "2.3m"
, " 2.3 m "
, "2.3meter"
, "2.3 meter"
, "2.3meters"
, "2.3 metre"
, "2.3metres"
]
allParseAs (Expression (q 5.0 second))
[ "5s"
, "5second"
, "5 seconds"
]
allParseAs (Expression (q 5.0 gram))
[ "5g"
, "5gram"
, "5 grams"
]
allParseAs (Expression (q 10.0 minute))
[ "10minutes"
, "10minute"
, "10min"
]
allParseAs (Expression (q 10.0 mile))
[ "10miles"
, "10mile"
]
allParseAs (Expression (q 10.0 inch))
[ "10inches"
, "10inch"
, "10in"
]
allParseAs (Expression (q 360.0 degree))
[ "360degrees"
, "360degree"
, "360deg"
, "360°"
, "360.0°"
]
allParseAs (Expression (q 1.0 radian))
[ "1.0rad"
, "1.0 radian"
, "1.0 radians"
]
test "SI prefixes" do
allParseAs (Expression (q 2.3 (kilo meter)))
[ "2.3km"
, " 2.3 km "
, " 2.3 kmeter "
, " 2.3 kmeters "
, " 2.3 kmetre "
, " 2.3 kmetres "
]
allParseAs (Expression (q 2.3 (milli meter)))
[ "2.3mm"
, " 2.3 mm "
, " 2.3 mmeter "
, " 2.3 mmeters "
, " 2.3 mmetre "
, " 2.3 mmetres "
]
allParseAs (Expression (q 2.3 (nano gram)))
[ "2.3ng"
, " 2.3 ng "
]
allParseAs (Expression (q 2.3 (kilo minute)))
[ "2.3kmin"
, " 2.3 kmin "
]
allParseAs (Expression (q 2.3 (deci meter)))
[ "2.3dm"
, " 2.3 dm "
]
allParseAs (Expression (q 42.3 (tera hertz)))
[ "42.3THz"
, "42.3Thertz"
]
test "Divisions" do
allParseAs (Expression (BinOp Div (q 2.3 (kilo meter)) (Unit hour)))
[ "2.3km/h"
, "2.30km/h"
, "2.30km÷h"
, "2.30 kilometer per hour"
, "2.30 kilometre per hour"
, "2.30km per h"
]
describe "Parser - Operators" do
test "Factorial" do
allParseAs (Expression (Factorial (scalar 4.0)))
[ "4!"
, "4.0!"
, "4 !"
, " 4 ! "
, "(4)!"
]
allParseAs (Expression (BinOp Pow (Factorial (scalar 5.0)) (scalar 3.0)))
[ "5!^3"
, "5!³"
, "(5!)^3"
]
allParseAs (Expression (Negate (Factorial (scalar 5.0))))
[ "-5!"
, "-(5!)"
]
test "Exponentiation" do
allParseAs (Expression (BinOp Pow (scalar 5.0) (scalar 3.0)))
[ "5^3"
, " 5 ^ 3 "
, " ( 5 ) ^ ( 3 ) "
, " ( ( 5 ) ^ ( 3 ) ) "
, " ( 5 ^ 3 ) "
, "5^(+3)"
, "+5^3"
]
shouldParseAs (Expression (BinOp Pow (scalar 2.0) (BinOp Pow (scalar 3.0) (BinOp Pow (scalar 4.0) (scalar 5.0)))))
"2^3^4^5"
allParseAs (Expression (BinOp Pow (scalar 4.0) (scalar 3.0)))
[ "4^3"
, "4 ^ 3"
, "4**3"
, "4 ** 3"
, "4³"
, "4 ³"
]
allParseAs (Expression (BinOp Pow (Variable "pi") (scalar 2.0)))
[ "pi^2"
, "pi ^ 2"
, "pi**2"
, "pi ** 2"
, "pi²"
, "(pi)²"
]
allParseAs (Expression (Negate (BinOp Pow (scalar 3.0) (scalar 4.0))))
[ "-3^4"
, "-3 ^ 4"
, "-3**4"
, "-3 ** 4"
, "-(3^4)"
]
allParseAs (Expression (BinOp Pow (scalar 3.0) (Negate (scalar 1.4))))
[ "3 ^ (-1.4)"
, "3 ** (-1.4)"
]
shouldFail "³"
shouldFail "³2"
shouldFail "2^"
shouldFail "^2"
test "Multiplication" do
allParseAs (Expression (BinOp Mul (scalar 5.0) (scalar 3.0)))
[ "5*3"
, " 5 * 3 "
, " ( 5 ) * ( 3 ) "
, " ( 5 ) ( 3 ) "
, " ( ( 5 ) * ( 3 ) ) "
, " ( 5 * 3 ) "
, "5(3)"
, "(5)3"
, "5(+3)"
, "+5*3"
]
allParseAs (Expression (BinOp Mul (scalar 5.0) (Negate $ scalar 3.0)))
[ "5*(-3)"
, " 5 * (-3) "
, " ( 5 ) * ( -3 ) "
, " ( ( 5 ) * (-( 3 )) ) "
, " ( 5 * (-3) ) "
, "+5*(-3)"
]
shouldFail "5*"
test "Division" do
allParseAs (Expression (BinOp Div (scalar 5.0) (scalar 3.0)))
[ "5/3"
, "5 per 3"
, " 5 / 3 "
, " ( 5 ) / ( 3 ) "
, " ( ( 5 ) / ( 3 ) ) "
, " ( 5 / 3 ) "
]
shouldFail "5/"
shouldFail "5 per"
test "Modulo" do
allParseAs (Expression (BinOp Mod (scalar 5.0) (scalar 3.0)))
[ "5%3"
, "5 % 3"
, " ( 5 ) % ( 3 ) "
, " ( ( 5 ) % ( 3 ) ) "
, " ( 5 % 3 ) "
]
shouldFail "5%"
shouldFail "%2"
test "Addition" do
allParseAs (Expression (BinOp Add (scalar 5.0) (scalar 3.0)))
[ "5+3"
, " 5 + 3 "
, " ( 5 ) + ( 3 ) "
, " ( ( 5 ) + ( 3 ) ) "
, " ( 5 + 3 ) "
]
shouldFail "3 + "
shouldFail "3 + @"
test "Subtraction" do
allParseAs (Expression (BinOp Sub (scalar 5.0) (scalar 3.0)))
[ "5-3"
, " 5 - 3 "
, " ( 5 ) - ( 3 ) "
, " ( ( 5 ) - ( 3 ) ) "
, " ( 5 - 3 ) "
]
shouldFail "3 - "
test "Unary operators" do
shouldParseAs (Expression (Negate (Variable "x")))
"-x"
shouldParseAs (Expression (Variable "x"))
"+x"
shouldParseAs (Expression (Negate (Negate (Variable "x"))))
"--x"
shouldParseAs (Expression (Negate (Variable "x")))
"++-x"
shouldParseAs (Expression (BinOp Mul (Negate $ scalar 1.0) (Negate $ scalar 2.0)))
"-1 * -2"
shouldParseAs (Expression (BinOp Mul (scalar 1.0) (scalar 2.0)))
"+1 * +2"
shouldParseAs (Expression (BinOp Sub (Negate $ scalar 1.0) (Negate $ scalar 2.0)))
"-1 - -2"
shouldParseAs (Expression (BinOp Sub (scalar 1.0) (scalar 2.0)))
"+1 - +2"
shouldParseAs (Expression (Negate (BinOp Pow (scalar 2.0) (scalar 3.0))))
"-2^3"
shouldParseAs (Expression (Negate (BinOp Pow (scalar 2.0) (scalar 3.0))))
"-2³"
shouldParseAs (Expression (BinOp Pow (scalar 2.0) (Negate $ scalar 3.0)))
"2^-3"
shouldParseAs (Expression (BinOp Pow (scalar 2.0) (scalar 3.0)))
"2^+3"
shouldParseAs (Expression (BinOp Pow (scalar 2.0)
(Negate (BinOp Pow (scalar 3.0)
(Negate (scalar 4.0))))))
"2^-3^-4"
test "Precedence" do
allParseAs (Expression (BinOp Add (q 5.0 meter) (BinOp Mul (q 3.0 inch) (scalar 7.0))))
[ "5m+3in*7"
, "5m+(3in*7)"
, "5m+(3in·7)"
, "5m+(3in⋅7)"
, "5m+3in×7"
, " 5 m + 3 in * 7 "
]
allParseAs (Expression (BinOp Mul (BinOp Add (q 5.0 meter) (q 3.0 inch)) (scalar 7.0)))
[ "(5m+3in)*7"
, "((5m+3in))*7"
, "(((((((5m))+((3in)))))))*((7))"
, " ( 5 m + ( 3 in ) ) * 7 "
]
allParseAs (Expression (BinOp Mul (BinOp Div (scalar 5.0) (scalar 3.0)) (scalar 2.0)))
[ "5/3*2"
, "(5/3)*2"
]
shouldFail "3+*4"
shouldFail "3*/4"
shouldFail "(3+4"
shouldFail "3+4)"
shouldFail "3+("
shouldFail "()"
shouldFail "(3+)4"
test "Multiple division" do
allParseAs (Expression (BinOp Div (BinOp Div (scalar 42.0) (scalar 7.0)) (scalar 3.0)))
[ "42/7/3"
, "(42/7)/3"
, "42 per 7 per 3"
]
test "Multiple division - per precedence" do
allParseAs (Expression (BinOp Div (Unit euro) (BinOp Div (Unit meter) (Unit second))))
[ "euro / (meter / second)"
, "euro / meter per second"
, "euro per (meter per second)"
]
test "Involving units" do
allParseAs (Expression (BinOp Pow (q 3.0 meter) (scalar 2.0)))
[ "(3m)^2"
, "(3.0m)^(2.0)"
]
allParseAs (Expression (BinOp Mul (scalar 3.0) (BinOp Pow (Unit meter) (scalar 2.0))))
[ "3m^2"
, "3.0(m)^(2.0)"
, "3m²"
, "3 m²"
, "3·m²"
, "3⋅m²"
, "3×m²"
, "3·m^(2.0)"
]
allParseAs (Expression (BinOp Div (q 3.0 meter) (Unit second)))
[ "3m/s"
, "3 meter / second"
, "3 meter per second"
, "3 metre / second"
, "3 metre per second"
, "(3m)/s"
]
allParseAs (Expression (BinOp Mul (scalar 3.0) (BinOp Div (Unit meter) (Unit second))))
[ "3·m/s"
, "3*meter / second"
, "3*meter / sec"
, "3*metre / second"
, "3*metre / sec"
]
allParseAs (Expression (BinOp Pow (Unit meter) (Negate $ scalar 1.0)))
[ "m^(-1)"
, "m^(-1.0)"
, "meter^(-1.0)"
, "metre^(-1.0)"
]
describe "Parser - Conversions" do
test "Simple" do
allParseAs (Expression (BinOp ConvertTo (q (2.3) meter) (Unit inch)))
[ "2.3m -> in"
, " 2.3 meters->inches "
, " 2.3 m -> in "
, "2.3m→in"
, " 2.3 m → in "
, "2.3m to in"
, " 2.3 m to in "
]
allParseAs (Expression (BinOp ConvertTo (q 120.0 minute) (Unit hour)))
[ "120min -> h"
, "120minutes -> hours"
]
shouldFail "2.3m->"
shouldFail "-> km"
shouldFail "2.3m →"
shouldFail "2.3m to"
shouldFail "to km"
shouldFail "to"
test "Complex units" do
allParseAs (Expression (BinOp ConvertTo (BinOp Mul (scalar 36.0) (BinOp Div (Unit (kilo meter)) (Unit hour))) (Unit (mile ./ hour))))
[ "36·km/h -> mph"
, " 36 · km / hour->mph"
]
allParseAs (Expression (BinOp ConvertTo (BinOp Div (q 36.0 (kilo meter)) (Unit hour)) (Unit (mile ./ hour))))
[ "36km/h -> mph"
, " 36km / hour->mph "
]
describe "Parser - Identifiers" do
test "Valid and invalid names" do
shouldParseAs (Expression (Variable "x")) "x"
shouldParseAs (Expression (Variable "µ")) "µ"
shouldParseAs (Expression (Variable "pi")) "pi"
shouldParseAs (Expression (Variable "tau")) "tau"
shouldParseAs (Expression (Variable "x_2")) "x_2"
shouldParseAs (Expression (Variable "länge")) "länge"
shouldParseAs (Expression (Variable "_prefixed")) "_prefixed"
shouldParseAs (Expression (Variable "x'")) "x'"
shouldParseAs (Expression (Variable "t''")) "t''"
shouldParseAs (Expression (Variable "to_")) "to_"
shouldFail "xs,as"
shouldFail "hello`"
test "Variables which begin like units" do
shouldParseAs (Expression (Variable "myVariable")) "myVariable"
shouldParseAs (Expression (Variable "density")) "density"
shouldParseAs (Expression (Variable "µg2")) "µg2"
shouldParseAs (Expression (Variable "in2")) "in2"
test "Variables which begin with 'e'" do
allParseAs (Expression (BinOp Mul (scalar 2.0) (Variable "ex")))
[ "2ex"
, "2.0ex"
, "2 ex"
]
allParseAs (Expression (BinOp Mul (scalar 2.0) (Variable "e")))
[ "2e"
, "2.0e"
, "2 e"
]
test "Variables which begin with 'p'" do
allParseAs (Expression (BinOp Mul (scalar 2.0) (Variable "pi")))
[ "0x2pi"
, "0o2.0pi"
, "0b10 pi"
]
allParseAs (Expression (BinOp Mul (scalar 2.0) (Variable "p")))
[ "0b10p"
, "0x2.0p"
, "0o2 p"
]
test "Variables before parenthesis" do
allParseAs (Expression (BinOp Mul (Variable "pi") (scalar 2.0)))
[ "pi(2)"
, "pi*(2)"
, "(pi)(2)"
]
test "Initial environment" do
for_ (keys initialEnvironment.values) \ident →
shouldParseAs (Expression (Variable ident)) ident
describe "Parser - Functions" do
test "Simple" do
allParseAs (Expression (Apply "sin" (q 30.0 degree :| Nil)))
[ "sin(30°)"
, " sin( 30° ) "
, " sin( +30° ) "
]
allParseAs (Expression (Apply "sqrt" (scalar 2.0 :| Nil)))
[ "sqrt(2)"
, " sqrt( 2.0 ) "
, " sqrt( +2.0 ) "
]
allParseAs (Expression (Apply "exp" (Negate (scalar 10.0) :| Nil)))
[ "exp(-10)"
, " exp( -10 ) "
]
allParseAs (Expression (Apply "exp" (scalar 1.0 :| scalar 2.0 : scalar 3.0 : Nil)))
[ "exp(1,2,3)"
, " exp( 1 , 2 , 3 ) "
]
allParseAs (Expression (BinOp Mul (Apply "exp" (scalar 1.0 :| Nil))
(Apply "exp" (scalar 1.0 :| Nil))))
[ "exp(1)exp(1)"
, " exp( 1 ) exp( 1 ) "
]
shouldFail "exp(,)"
shouldFail "exp(1,)"
shouldFail "exp()"
-- The first four are reserved units, 'list' is a reserved keyword, and '_'
-- and 'ans' are reserved variables that refer to the value of the last
-- evaluated line.
let reservedNames = ["m", "meter", "kg", "kilogram", "list", "ans", "_"]
describe "Parser - Variable Assignments" do
test "Simple" do
allParseAs (VariableAssignment "xyz_123" (scalar 1.0))
[ "xyz_123 = 1"
, "xyz_123=1"
, " xyz_123 = 1 "
]
shouldFail "x²=3"
shouldFail "x+y=3"
shouldFail "x+2=3"
shouldFail "3=5"
shouldFail "x="
shouldFail "x=3+"
test "Reserved names" do
for_ reservedNames \name -> shouldFail (name <> "=2")
describe "Parser - Function Assignments" do
test "Simple" do
allParseAs (FunctionAssignment "xyz_123" ("x" :| Nil) (scalar 1.0))
[ "xyz_123(x) = 1"
, "xyz_123(x)=1"
, " xyz_123(x) = 1 "
]
shouldFail "f()=2"
shouldFail "f(x,)=3"
shouldFail "f(2)=3"
shouldFail "f(x)="
test "Multiple arguments" do
allParseAs (FunctionAssignment "f'" ("x" :| "y" : "z" : Nil) (Variable "x"))
[ "f'(x,y,z)=x"
, " f'( x , y , z ) = x "
]
test "Reserved names" do
for_ reservedNames \name -> shouldFail (name <> "(x)=2")
describe "Parser - Pretty print function" do
test "Simple" do
allParseAs (PrettyPrintFunction "cos")
[ "cos"
, " cos"
, "cos "
]
let pretty' str =
case parseInsect initialEnvironment str of
Right (Expression expr) → format fmtPlain (pretty expr)
_ → "Error"
let equalPretty out inp =
out `shouldEqual` (pretty' inp)
describe "Pretty printer" do
test "Consistency" do
prettyPrintCheck "-2.3e-12387"
prettyPrintCheck "2.3e-12387"
prettyPrintCheck "18379173"
prettyPrintCheck "2+3"
prettyPrintCheck "2+3*5"
prettyPrintCheck "-3^4+2/(4+2*3)"
prettyPrintCheck "1-2-3-4-(5-6-7)"
prettyPrintCheck "1/2/3/4/(5/6/7)"
prettyPrintCheck "kg"
prettyPrintCheck "2m/s"
prettyPrintCheck "a+b*c^d-e*f"
prettyPrintCheck "sin(x)^3"
prettyPrintCheck "sin(cos(atanh(x)+2))^3"
prettyPrintCheck "2^3^4^5"
prettyPrintCheck "(2^3)^(4^5)"
prettyPrintCheck "sqrt(1.4^2 + 1.5^2) * cos(pi/3)^2"
prettyPrintCheck "40kg * 9.8m/s^2 * 150cm"
prettyPrintCheck "4/3 * pi * r³"
prettyPrintCheck "vol * density -> kg"
prettyPrintCheck "atan(30cm / 2m)"
prettyPrintCheck "500km/day -> km/h"
prettyPrintCheck "1mrad -> °"
prettyPrintCheck "52weeks -> days"
prettyPrintCheck "5in + 2ft -> cm"
prettyPrintCheck "6Mbit/s * 1.5h -> GB"
prettyPrintCheck "2d"
prettyPrintCheck "5t"
prettyPrintCheck "länge * x_2 * µ * _prefixed"
prettyPrintCheck "2m^3"
prettyPrintCheck "(2m)^3"
prettyPrintCheck "(2m)^(3kg)"
prettyPrintCheck "(2m)^(3kg)^((4in)^(5ft))^(6s)"
prettyPrintCheck "-sqrt(-30m^3)"
prettyPrintCheck "-3^4"
prettyPrintCheck "(-3)^4"
prettyPrintCheck "5!³"
prettyPrintCheck "2^3!"
prettyPrintCheck "-3!"
prettyPrintCheck "(-3)!"
prettyPrintCheck "sin(2,3,4)"
test "Format" do
equalPretty "2 + 3" "2+3"
equalPretty "2 × 3" "2*3"
equalPretty "2^3" "2^3"
equalPretty "2 km" "2km"
equalPretty "sin(30°)" "sin(30°)"
equalPretty "2 × 3 × 4" "2*3*4"
equalPretty "2 × 3 × 4" "2*(3*4)"
equalPretty "2 + 3 + 4" "2+3+4"
equalPretty "2 + 3 + 4" "2+(3+4)"
equalPretty "atan(30 cm / 2 m)" "atan(30cm / 2m)"
equalPretty "1 mrad ➞ °" "1mrad -> °"
equalPretty "2 km + 2 cm ➞ in" "2km+2cm -> in"
equalPretty "2^3 + 4^5" "2^3 + 4^5"
equalPretty "2^3 - 4^5" "2^3 - 4^5"
equalPretty "2^3 × 4^5" "2^3 * 4^5"
equalPretty "2 × 3 + 4 × 5" "2 * 3 + 4 * 5"
equalPretty "2 × (3 / 4)" "2 * 3 / 4"
equalPretty "123.123 × km^2 / s^2" "123.123 km^2 / s^2"
equalPretty "sin(2, 3, 4)" " sin( 2 , 3 , 4 ) "
let expectOutput' = expectOutput initialEnvironment
describe "Integration tests" do
test "Simple input" do
expectOutput' "3 m" "3m"
expectOutput' "3 m" " 3.0 meter "
test "Function using current environment" do
let env1 = initialEnvironment
env2 = (repl fmtPlain env1 "a = 2").newEnv
env3 = (repl fmtPlain env2 "f(x) = a * x").newEnv
env4 = (repl fmtPlain env3 "a = 3").newEnv
expectOutput env4 "3" "f(1)"
test "Square, cube and other exponentiation operators" do
expectOutput' "18" "3²*2"
expectOutput' "18" "3² 2"
expectOutput' "18" "3²·2"
expectOutput' "54" "3³*2"
expectOutput' "54" "3³(2)"
expectOutput' "9" "(1+2)²"
expectOutput' "12.5664" "2²pi"
expectOutput' "12.5664" "2² pi"
expectOutput' "12.5664" "2²·pi"
expectOutput' "500 cm·m" "5m² to cm·m"
expectOutput' "32" "2⁵"
expectOutput' "-4" "-4¹"
expectOutput' "0.5" "2⁻¹"
expectOutput' "0.25" "2⁻²"
expectOutput' "0.00001" "10⁻⁵"
shouldFail "32⁻"
test "Conversions" do
expectOutput' "5.08 cm" "2in to cm"
expectOutput' "500 m·cm" "5m^2 -> m*cm"
expectOutput' "500 cm·m" "5m^2 -> cm*m"
expectOutput' "0.1 MB/s" "1 kB / 10 ms -> MB/s"
test "Implicit multiplication" do
let myEnv =
{ values: insert "x" (StoredValue UserDefined (5.0 .* meter)) initialEnvironment.values
, functions: initialEnvironment.functions
}
expectOutput myEnv "5 m" "x"
expectOutput myEnv "10 m" "2x"
expectOutput myEnv "10 m" "2 x"
expectOutput myEnv "25 m²" "x x"
expectOutput myEnv "25 m²" "x²"
expectOutput myEnv "Unknown identifier: x2" "x2"
test "Function inverses" do
expectOutput' "0.1234" "sin(asin(0.1234))"
expectOutput' "0.1234" "cos(acos(0.1234))"
expectOutput' "0.1234" "tan(atan(0.1234))"
expectOutput' "0.1234" "sinh(asinh(0.1234))"
expectOutput' "1.1234" "cosh(acosh(1.1234))"
expectOutput' "0.1234" "tanh(atanh(0.1234))"
expectOutput' "0.1234" "log(exp(0.1234))"
expectOutput' "0.1234" "asin(sin(0.1234))"
expectOutput' "0.1234" "acos(cos(0.1234))"
expectOutput' "0.1234" "atan(tan(0.1234))"
expectOutput' "0.1234" "asinh(sinh(0.1234))"
expectOutput' "1.1234" "acosh(cosh(1.1234))"
expectOutput' "0.1234" "atanh(tanh(0.1234))"
expectOutput' "0.1234" "exp(log(0.1234))"
test "Temperature conversions" do
expectOutput' "284.65 K" "fromCelsius(11.5)"
expectOutput' "304.983 K" "fromFahrenheit(89.3)"
expectOutput' "-273.15" "toCelsius(0 K)"
expectOutput' "-405.67" "toFahrenheit(30 K)"
expectOutput' "100" "toCelsius(fromCelsius(100))"
expectOutput' "100" "toFahrenheit(fromFahrenheit(100))"
expectOutput' "123 K" "fromCelsius(toCelsius(123 K))"
expectOutput' "123 K" "fromFahrenheit(toFahrenheit(123 K))"
test "Other functions" do
expectOutput' "2" "sqrt(4)"
expectOutput' "5" "log10(100000)"
expectOutput' "15" "log(e^15)"
expectOutput' "15" "ln(e^15)"
expectOutput' "4" "ceil(3.1)"
expectOutput' "3" "floor(3.9)"
expectOutput' "4" "round(3.9)"
expectOutput' "3" "round(3.1)"
test "Unit simplification" do
expectOutput' "36000 Mbit" "5Mbit/s * 2h"
expectOutput' "2500 cm²" "5cm · 5m"
expectOutput' "0.2 km" "120km/h*6s"
test "'ans' and '_'" do
let env1 = initialEnvironment
env2 = (repl fmtPlain env1 "5").newEnv
env3 = (repl fmtPlain env2 "_ * 20").newEnv
expectOutput env3 "1" "ans / 100"
test "Examples" do
expectOutput' "1080" "1920/16*9"
expectOutput' "4294967296" "2^32"
expectOutput' "0.512957" "sqrt(1.4^2 + 1.5^2) * cos(pi/3)^2"
expectOutput' "2.5 min" "2min + 30s"
expectOutput' "150 s" "2min + 30s -> sec"
expectOutput' "904779000000 km³" "4/3 * pi * (6000km)³"
expectOutput' "588 m²·kg/s²" "40kg * 9.8m/s^2 * 150cm"
expectOutput' "0.5" "sin(30°)"
expectOutput' "26.8224 m/s" "60mph -> m/s"