Predicate.Examples.Refined3

Contains prepackaged 4-tuples and proxies to use with Refined3

date time checkers

datetime1 :: Proxy (DateTime1 t)

read in a valid datetime

>>> prtEval3P (datetime1 @LocalTime) ol "2018-09-14 02:57:04"
Right (Refined3 {r3In = 2018-09-14 02:57:04, r3Out = "2018-09-14 02:57:04"})

>>> prtEval3P (datetime1 @LocalTime) ol "2018-09-99 12:12:12"
Left Step 1. Initial Conversion(ip) Failed | ParseTimeP LocalTime (%F %T) failed to parse

type DateTime1 (t :: Type) = '(Dtip t, True, Dtfmt, String)

daten :: Proxy DateN

type DateN = '(ParseTimes Day DateFmts Id, True, FormatTimeP "%Y-%m-%d" Id, String)

datetimen :: Proxy DateTimeN

type DateTimeN = '(ParseTimes UTCTime DateTimeFmts Id, True, FormatTimeP "%Y-%m-%d %H:%M:%S" Id, String)

type DateTimeNR = MakeR3 DateTimeN

time checkers

hms :: Proxy Hms

read in a time and validate it

>>> prtEval3P hms ol "23:13:59"
Right (Refined3 {r3In = [23,13,59], r3Out = "23:13:59"})

>>> prtEval3P hms ol "23:13:60"
Left Step 2. Failed Boolean Check(op) | seconds invalid: found 60

>>> prtEval3P hms ol "26:13:59"
Left Step 2. Failed Boolean Check(op) | hours invalid: found 26

type Hms = '(Hmsip, Hmsop >> True, Hmsfmt, String)

type HmsR = MakeR3 Hms

hms' :: Proxy Hms'

type Hms' = '(Hmsip, Hmsop', Hmsfmt, String)

type HmsR' = MakeR3 Hms'

credit cards

ccn :: Proxy (Ccn ns)

ccn' :: (PP ns String ~ [Integer], KnownNat (SumT ns), P ns String) => Proxy (Ccn ns)

type Ccn (ns :: [Nat]) = '(Ccip, Ccop (SumT ns), Ccfmt ns, String)

credit card with luhn algorithm

>>> prtEval3P cc11 oz "1234-5678-901"
Left Step 2. False Boolean Check(op) | FalseP

>>> prtEval3P cc11 oz "1234-5678-903"
Right (Refined3 {r3In = [1,2,3,4,5,6,7,8,9,0,3], r3Out = "1234-5678-903"})

>>> pz @(Ccip >> Ccop 11) "79927398713"
True
TrueT

>>> pz @(Ccip >> Ccop 10) "79927398713"
Error expected 10 digits but found 11
FailT "expected 10 digits but found 11"

cc11 :: Proxy (Ccn '[4, 4, 3])

type CC11 = Ccn '[4, 4, 3]

type LuhnR (n :: Nat) = MakeR3 (LuhnT n)

type LuhnT (n :: Nat) = '(Map (ReadP Int Id) (Ones Id), Msg "incorrect number of digits:" (Len == n) && Luhn Id, ConcatMap (ShowP Id) Id, String)

Luhn check

>>> prtEval3P (Proxy @(LuhnT 4)) oz "1230"
Right (Refined3 {r3In = [1,2,3,0], r3Out = "1230"})

>>> prtEval3P (Proxy @(LuhnT 4)) ol "1234"
Left Step 2. False Boolean Check(op) | {True && False | (Luhn map=[4,6,2,2] sum=14 ret=4 | [1,2,3,4])}

| uses builtin Luhn

ssn

ssn :: Proxy Ssn

type Ssn = '(Ssnip, Ssnop, Ssnfmt, String)

read in an ssn

>>> prtEval3P ssn oz "134-01-2211"
Right (Refined3 {r3In = [134,1,2211], r3Out = "134-01-2211"})

>>> prtEval3P ssn ol "666-01-2211"
Left Step 2. False Boolean Check(op) | {Bool(0) [number for group 0 invalid: found 666] (True && False | (666 /= 666))}

>>> prtEval3P ssn ol "667-00-2211"
Left Step 2. False Boolean Check(op) | {Bool(1) [number for group 1 invalid: found 0] (1 <= 0)}

type SsnR = MakeR3 Ssn

ipv4

ip4 :: Proxy Ip4

type Ip4 = '(Ip4ip, Ip4op >> True, Ip4fmt, String)

type Ip4R = MakeR3 Ip4

read in an ipv4 address and validate it

>>> prtEval3P ip4 oz "001.223.14.1"
Right (Refined3 {r3In = [1,223,14,1], r3Out = "001.223.014.001"})

>>> prtEval3P ip4 ol "001.223.14.999"
Left Step 2. Failed Boolean Check(op) | octet 3 out of range 0-255 found 999

>>> prtEval3P ip4 oz "001.223.14.999.1"
Left Step 2. Failed Boolean Check(op) | Guards:invalid length(5) expected 4

>>> prtEval3P ip4 ol "001.257.14.1"
Left Step 2. Failed Boolean Check(op) | octet 1 out of range 0-255 found 257

ip4' :: Proxy Ip4'

type Ip4' = '(Ip4ip, Ip4op', Ip4fmt, String)

type Ip4R' = MakeR3 Ip4'

ipv6

ip6 :: Proxy Ip6

type Ip6 = '(Ip6ip, Ip6op, Ip6fmt, String)

type Ip6R = MakeR3 Ip6

base n

basen :: Proxy (BaseN n)

base2 :: Proxy (BaseN 2)

base16 :: Proxy (BaseN 16)

basen' :: Proxy (BaseN' n p)

base2' :: Proxy (BaseN' 2 p)

base16' :: Proxy (BaseN' 16 p)

type BaseN (n :: Nat) = BaseN' n True

convert a string from a given base 'i' and store it internally as an base 10 integer

>>> prtEval3P base16 oz "00fe"
Right (Refined3 {r3In = 254, r3Out = "fe"})

>>> prtEval3P (basen' @16 @(100 <..> 400)) oz "00fe"
Right (Refined3 {r3In = 254, r3Out = "fe"})

>>> prtEval3P (basen' @16 @(GuardSimple (Id < 400) >> 'True)) oz "f0fe"
Left Step 2. Failed Boolean Check(op) | (61694 < 400)

>>> prtEval3P (basen' @16 @(Id < 400)) ol "f0fe" -- todo: why different parens vs braces
Left Step 2. False Boolean Check(op) | {61694 < 400}

type BaseN' (n :: Nat) p = '(ReadBase Int n Id, p, ShowBase n Id, String)

type BaseIJ (i :: Nat) (j :: Nat) = BaseIJ' i j True

convert a string from a given base 'i' and store it internally as a base 'j' string

>>> prtEval3P (Proxy @(BaseIJ 16 2)) oz "fe"
Right (Refined3 {r3In = "11111110", r3Out = "fe"})

>>> prtEval3P (Proxy @(BaseIJ 16 2)) oz "fge"
Left Step 1. Initial Conversion(ip) Failed | invalid base 16

>>> prtEval3P (Proxy @(BaseIJ' 16 2 (ReadBase Int 2 Id < 1000))) ol "ffe"
Left Step 2. False Boolean Check(op) | {4094 < 1000}

type BaseIJ' (i :: Nat) (j :: Nat) p = '(ReadBase Int i Id >> ShowBase j Id, p, ReadBase Int j Id >> ShowBase i Id, String)

read / show

readshow :: Proxy (ReadShow t)

type ReadShow (t :: Type) = '(ReadP t Id, True, ShowP Id, String)

take any valid Read/Show instance and turn it into a valid Refined3

>>> :m + Data.Ratio
>>> prtEval3P (readshow @Rational) oz "13 % 3"
Right (Refined3 {r3In = 13 % 3, r3Out = "13 % 3"})

>>> prtEval3P (readshow @Rational) oz "13x % 3"
Left Step 1. Initial Conversion(ip) Failed | ReadP Ratio Integer (13x % 3)

>>> prtEval3P (readshow' @Rational @(3 % 1 <..> 5 % 1)) oz "13 % 3"
Right (Refined3 {r3In = 13 % 3, r3Out = "13 % 3"})

>>> prtEval3P (Proxy @(ReadShow' Rational (11 -% 2 <..> 3 -% 1))) oz "-13 % 3"
Right (Refined3 {r3In = (-13) % 3, r3Out = "(-13) % 3"})

>>> prtEval3P (Proxy @(ReadShow' Rational (Id > (15 % 1)))) oz "13 % 3"
Left Step 2. False Boolean Check(op) | FalseP

>>> prtEval3P (Proxy @(ReadShow' Rational (Msg (PrintF "invalid=%3.2f" (FromRational Double Id)) (Id > (15 % 1))))) ol "13 % 3"
Left Step 2. False Boolean Check(op) | {invalid=4.3313 % 3 > 15 % 1}

>>> prtEval3P (Proxy @(ReadShow' Rational (Id > (11 % 1)))) oz "13 % 3"
Left Step 2. False Boolean Check(op) | FalseP

>>> let tmString = "2018-10-19 14:53:11.5121359 UTC"
>>> let tm = read tmString :: UTCTime
>>> prtEval3P (readshow @UTCTime) oz tmString
Right (Refined3 {r3In = 2018-10-19 14:53:11.5121359 UTC, r3Out = "2018-10-19 14:53:11.5121359 UTC"})

>>> :m + Data.Aeson
>>> prtEval3P (readshow @Value) oz "String \"jsonstring\""
Right (Refined3 {r3In = String "jsonstring", r3Out = "String \"jsonstring\""})

>>> prtEval3P (readshow @Value) oz "Number 123.4"
Right (Refined3 {r3In = Number 123.4, r3Out = "Number 123.4"})

type ReadShowR (t :: Type) = MakeR3 (ReadShow t)

readshow' :: Proxy (ReadShow' t p)

type ReadShow' (t :: Type) p = '(ReadP t Id, p, ShowP Id, String)

type ReadShowR' (t :: Type) p = MakeR3 (ReadShow' t p)

between

between :: Proxy (BetweenN m n)

ensures that two numbers are in a given range (emulates Refined)

>>> prtEval3P (between @10 @16) oz 14
Right (Refined3 {r3In = 14, r3Out = 14})

>>> prtEval3P (between @10 @16) oz 17
Left Step 2. False Boolean Check(op) | FalseP

>>> prtEval3P (between @10 @16) o0 17
Left Step 2. False Boolean Check(op) | {17 <= 16}

*** Step 1. Success Initial Conversion(ip) [17] ***

P Id 17

*** Step 2. False Boolean Check(op) ***

False 17 <= 16
|
+- P Id 17
|
+- P '10
|
`- P '16

type BetweenR m n = RefinedEmulate (Between m n Id) Int

type BetweenN m n = '(Id, Between m n Id, Id, Int)

miscellaneous

ok :: Proxy (Ok t)

type Ok (t :: Type) = '(Id, True, Id, t)

noop true

type OkR (t :: Type) = MakeR3 (Ok t)

oknot :: Proxy (OkNot t)

type OkNot (t :: Type) = '(Id, False, Id, t)

noop false

type OkNotR (t :: Type) = MakeR3 (OkNot t)