Create new bounded number data types in Haskell











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I need to create a data type, that represents only the real numbers between 0 and 1. How would i go about that? Expected Behavior:



0 :: DataType        ===> DataType 0
(-1) :: DataType ===> Error









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  • 6




    You could write an instance Num DataType and define fromInteger so that it errors out on invalid values. I'm not sure if that's a good idea, but it's the only way to achieve your goal.
    – chi
    Nov 22 at 14:38










  • @chi I actually suspect a transcription error there, given that it's ascribing function types to literals. Not impossible, but I suspect that it's actually about creating a function to behave in such a way.
    – Carl
    Nov 22 at 14:50










  • @Carl I'm pretty sure the above -> represents "evaluates to", not function arrow. My comment assumed that interpretation, otherwise the question makes no sense. I'm now replacing them with ==> to avoid confusion.
    – chi
    Nov 22 at 15:12








  • 1




    Beyond instance Num DataType, for real numbers we would also need instance Fractional DataType, and define a partial fromRational to reject invalid numbers.
    – chi
    Nov 22 at 15:16






  • 1




    Have you considered using smart constructors. Might by a good idea here. wiki.haskell.org/Smart_constructors
    – Luis Morillo
    Nov 23 at 8:49

















up vote
0
down vote

favorite












I need to create a data type, that represents only the real numbers between 0 and 1. How would i go about that? Expected Behavior:



0 :: DataType        ===> DataType 0
(-1) :: DataType ===> Error









share|improve this question




















  • 6




    You could write an instance Num DataType and define fromInteger so that it errors out on invalid values. I'm not sure if that's a good idea, but it's the only way to achieve your goal.
    – chi
    Nov 22 at 14:38










  • @chi I actually suspect a transcription error there, given that it's ascribing function types to literals. Not impossible, but I suspect that it's actually about creating a function to behave in such a way.
    – Carl
    Nov 22 at 14:50










  • @Carl I'm pretty sure the above -> represents "evaluates to", not function arrow. My comment assumed that interpretation, otherwise the question makes no sense. I'm now replacing them with ==> to avoid confusion.
    – chi
    Nov 22 at 15:12








  • 1




    Beyond instance Num DataType, for real numbers we would also need instance Fractional DataType, and define a partial fromRational to reject invalid numbers.
    – chi
    Nov 22 at 15:16






  • 1




    Have you considered using smart constructors. Might by a good idea here. wiki.haskell.org/Smart_constructors
    – Luis Morillo
    Nov 23 at 8:49















up vote
0
down vote

favorite









up vote
0
down vote

favorite











I need to create a data type, that represents only the real numbers between 0 and 1. How would i go about that? Expected Behavior:



0 :: DataType        ===> DataType 0
(-1) :: DataType ===> Error









share|improve this question















I need to create a data type, that represents only the real numbers between 0 and 1. How would i go about that? Expected Behavior:



0 :: DataType        ===> DataType 0
(-1) :: DataType ===> Error






haskell types numbers






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited Nov 22 at 15:13









chi

72.6k280135




72.6k280135










asked Nov 22 at 14:27









Agilix

10111




10111








  • 6




    You could write an instance Num DataType and define fromInteger so that it errors out on invalid values. I'm not sure if that's a good idea, but it's the only way to achieve your goal.
    – chi
    Nov 22 at 14:38










  • @chi I actually suspect a transcription error there, given that it's ascribing function types to literals. Not impossible, but I suspect that it's actually about creating a function to behave in such a way.
    – Carl
    Nov 22 at 14:50










  • @Carl I'm pretty sure the above -> represents "evaluates to", not function arrow. My comment assumed that interpretation, otherwise the question makes no sense. I'm now replacing them with ==> to avoid confusion.
    – chi
    Nov 22 at 15:12








  • 1




    Beyond instance Num DataType, for real numbers we would also need instance Fractional DataType, and define a partial fromRational to reject invalid numbers.
    – chi
    Nov 22 at 15:16






  • 1




    Have you considered using smart constructors. Might by a good idea here. wiki.haskell.org/Smart_constructors
    – Luis Morillo
    Nov 23 at 8:49
















  • 6




    You could write an instance Num DataType and define fromInteger so that it errors out on invalid values. I'm not sure if that's a good idea, but it's the only way to achieve your goal.
    – chi
    Nov 22 at 14:38










  • @chi I actually suspect a transcription error there, given that it's ascribing function types to literals. Not impossible, but I suspect that it's actually about creating a function to behave in such a way.
    – Carl
    Nov 22 at 14:50










  • @Carl I'm pretty sure the above -> represents "evaluates to", not function arrow. My comment assumed that interpretation, otherwise the question makes no sense. I'm now replacing them with ==> to avoid confusion.
    – chi
    Nov 22 at 15:12








  • 1




    Beyond instance Num DataType, for real numbers we would also need instance Fractional DataType, and define a partial fromRational to reject invalid numbers.
    – chi
    Nov 22 at 15:16






  • 1




    Have you considered using smart constructors. Might by a good idea here. wiki.haskell.org/Smart_constructors
    – Luis Morillo
    Nov 23 at 8:49










6




6




You could write an instance Num DataType and define fromInteger so that it errors out on invalid values. I'm not sure if that's a good idea, but it's the only way to achieve your goal.
– chi
Nov 22 at 14:38




You could write an instance Num DataType and define fromInteger so that it errors out on invalid values. I'm not sure if that's a good idea, but it's the only way to achieve your goal.
– chi
Nov 22 at 14:38












@chi I actually suspect a transcription error there, given that it's ascribing function types to literals. Not impossible, but I suspect that it's actually about creating a function to behave in such a way.
– Carl
Nov 22 at 14:50




@chi I actually suspect a transcription error there, given that it's ascribing function types to literals. Not impossible, but I suspect that it's actually about creating a function to behave in such a way.
– Carl
Nov 22 at 14:50












@Carl I'm pretty sure the above -> represents "evaluates to", not function arrow. My comment assumed that interpretation, otherwise the question makes no sense. I'm now replacing them with ==> to avoid confusion.
– chi
Nov 22 at 15:12






@Carl I'm pretty sure the above -> represents "evaluates to", not function arrow. My comment assumed that interpretation, otherwise the question makes no sense. I'm now replacing them with ==> to avoid confusion.
– chi
Nov 22 at 15:12






1




1




Beyond instance Num DataType, for real numbers we would also need instance Fractional DataType, and define a partial fromRational to reject invalid numbers.
– chi
Nov 22 at 15:16




Beyond instance Num DataType, for real numbers we would also need instance Fractional DataType, and define a partial fromRational to reject invalid numbers.
– chi
Nov 22 at 15:16




1




1




Have you considered using smart constructors. Might by a good idea here. wiki.haskell.org/Smart_constructors
– Luis Morillo
Nov 23 at 8:49






Have you considered using smart constructors. Might by a good idea here. wiki.haskell.org/Smart_constructors
– Luis Morillo
Nov 23 at 8:49



















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