Optimizing/reducing pure functions with same in/out types to combine them in a simpler pure function?





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1















Disclaimer: I have almost no mathematics notions, so this question could be very basic for some of you.



I'm searching for the name of a concept which consists in combining pure functions together (say, functions with the same input and output types and number of parameters) to make them simpler.



Suppose I have these 3 methods with the same signature:



addOne(param: number): number {
return param + 1;
}

addTwo(param: number): number {
return param + 2;
}

multiplyByThree(param: number): number {
return param * 3;
}


Now I know that I'll always use these functions in the same order and same param.



Ex: I will process a sound or an image.



I want to avoid uselessly applying coefficient or offsets that could be computed together (optimization/regression).



Let's say I have this imaginary library with a method called computeOptimizedFunction that applies this concept to my functions. It takes any number of functions with the same signature as input.



var optimized = computeOptimizedFunction(addOne, addTwo, multiplyByThree);


Actually equals to:



var optimized = (param: number) => 3 * (param + 3);


Anyone here has an idea of how this concept or pattern is called, if it exists?










share|improve this question




















  • 1





    This is not a simple topic, if it were that simple all compilers would be doing it. Restricted to math expressions, you could try something like this: stackoverflow.com/questions/7540227/…

    – juvian
    Jan 3 at 16:58











  • Indeed, at the end, I realize that there is a requirement to combine all expressions and to follow operator/operation priorities. And if there are conditions inside functions, I lose optimization opportunities. At the strict minimum, I want to reduce at least the number of function entry points. I'll read that linked question throughfully, thanks! I feel like I'll need a code analyzer to separate code in blocks before combining and optimizing functions. Funny side-project, isn't it!

    – Léon Pelletier
    Jan 3 at 17:16








  • 1





    Many compilers inline functions to avoid the calls, feel free to play around with it but these things are usually left for the compiler

    – juvian
    Jan 3 at 17:39


















1















Disclaimer: I have almost no mathematics notions, so this question could be very basic for some of you.



I'm searching for the name of a concept which consists in combining pure functions together (say, functions with the same input and output types and number of parameters) to make them simpler.



Suppose I have these 3 methods with the same signature:



addOne(param: number): number {
return param + 1;
}

addTwo(param: number): number {
return param + 2;
}

multiplyByThree(param: number): number {
return param * 3;
}


Now I know that I'll always use these functions in the same order and same param.



Ex: I will process a sound or an image.



I want to avoid uselessly applying coefficient or offsets that could be computed together (optimization/regression).



Let's say I have this imaginary library with a method called computeOptimizedFunction that applies this concept to my functions. It takes any number of functions with the same signature as input.



var optimized = computeOptimizedFunction(addOne, addTwo, multiplyByThree);


Actually equals to:



var optimized = (param: number) => 3 * (param + 3);


Anyone here has an idea of how this concept or pattern is called, if it exists?










share|improve this question




















  • 1





    This is not a simple topic, if it were that simple all compilers would be doing it. Restricted to math expressions, you could try something like this: stackoverflow.com/questions/7540227/…

    – juvian
    Jan 3 at 16:58











  • Indeed, at the end, I realize that there is a requirement to combine all expressions and to follow operator/operation priorities. And if there are conditions inside functions, I lose optimization opportunities. At the strict minimum, I want to reduce at least the number of function entry points. I'll read that linked question throughfully, thanks! I feel like I'll need a code analyzer to separate code in blocks before combining and optimizing functions. Funny side-project, isn't it!

    – Léon Pelletier
    Jan 3 at 17:16








  • 1





    Many compilers inline functions to avoid the calls, feel free to play around with it but these things are usually left for the compiler

    – juvian
    Jan 3 at 17:39














1












1








1








Disclaimer: I have almost no mathematics notions, so this question could be very basic for some of you.



I'm searching for the name of a concept which consists in combining pure functions together (say, functions with the same input and output types and number of parameters) to make them simpler.



Suppose I have these 3 methods with the same signature:



addOne(param: number): number {
return param + 1;
}

addTwo(param: number): number {
return param + 2;
}

multiplyByThree(param: number): number {
return param * 3;
}


Now I know that I'll always use these functions in the same order and same param.



Ex: I will process a sound or an image.



I want to avoid uselessly applying coefficient or offsets that could be computed together (optimization/regression).



Let's say I have this imaginary library with a method called computeOptimizedFunction that applies this concept to my functions. It takes any number of functions with the same signature as input.



var optimized = computeOptimizedFunction(addOne, addTwo, multiplyByThree);


Actually equals to:



var optimized = (param: number) => 3 * (param + 3);


Anyone here has an idea of how this concept or pattern is called, if it exists?










share|improve this question
















Disclaimer: I have almost no mathematics notions, so this question could be very basic for some of you.



I'm searching for the name of a concept which consists in combining pure functions together (say, functions with the same input and output types and number of parameters) to make them simpler.



Suppose I have these 3 methods with the same signature:



addOne(param: number): number {
return param + 1;
}

addTwo(param: number): number {
return param + 2;
}

multiplyByThree(param: number): number {
return param * 3;
}


Now I know that I'll always use these functions in the same order and same param.



Ex: I will process a sound or an image.



I want to avoid uselessly applying coefficient or offsets that could be computed together (optimization/regression).



Let's say I have this imaginary library with a method called computeOptimizedFunction that applies this concept to my functions. It takes any number of functions with the same signature as input.



var optimized = computeOptimizedFunction(addOne, addTwo, multiplyByThree);


Actually equals to:



var optimized = (param: number) => 3 * (param + 3);


Anyone here has an idea of how this concept or pattern is called, if it exists?







function optimization design-patterns






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited Jan 3 at 16:29







Léon Pelletier

















asked Jan 3 at 16:21









Léon PelletierLéon Pelletier

1,55522756




1,55522756








  • 1





    This is not a simple topic, if it were that simple all compilers would be doing it. Restricted to math expressions, you could try something like this: stackoverflow.com/questions/7540227/…

    – juvian
    Jan 3 at 16:58











  • Indeed, at the end, I realize that there is a requirement to combine all expressions and to follow operator/operation priorities. And if there are conditions inside functions, I lose optimization opportunities. At the strict minimum, I want to reduce at least the number of function entry points. I'll read that linked question throughfully, thanks! I feel like I'll need a code analyzer to separate code in blocks before combining and optimizing functions. Funny side-project, isn't it!

    – Léon Pelletier
    Jan 3 at 17:16








  • 1





    Many compilers inline functions to avoid the calls, feel free to play around with it but these things are usually left for the compiler

    – juvian
    Jan 3 at 17:39














  • 1





    This is not a simple topic, if it were that simple all compilers would be doing it. Restricted to math expressions, you could try something like this: stackoverflow.com/questions/7540227/…

    – juvian
    Jan 3 at 16:58











  • Indeed, at the end, I realize that there is a requirement to combine all expressions and to follow operator/operation priorities. And if there are conditions inside functions, I lose optimization opportunities. At the strict minimum, I want to reduce at least the number of function entry points. I'll read that linked question throughfully, thanks! I feel like I'll need a code analyzer to separate code in blocks before combining and optimizing functions. Funny side-project, isn't it!

    – Léon Pelletier
    Jan 3 at 17:16








  • 1





    Many compilers inline functions to avoid the calls, feel free to play around with it but these things are usually left for the compiler

    – juvian
    Jan 3 at 17:39








1




1





This is not a simple topic, if it were that simple all compilers would be doing it. Restricted to math expressions, you could try something like this: stackoverflow.com/questions/7540227/…

– juvian
Jan 3 at 16:58





This is not a simple topic, if it were that simple all compilers would be doing it. Restricted to math expressions, you could try something like this: stackoverflow.com/questions/7540227/…

– juvian
Jan 3 at 16:58













Indeed, at the end, I realize that there is a requirement to combine all expressions and to follow operator/operation priorities. And if there are conditions inside functions, I lose optimization opportunities. At the strict minimum, I want to reduce at least the number of function entry points. I'll read that linked question throughfully, thanks! I feel like I'll need a code analyzer to separate code in blocks before combining and optimizing functions. Funny side-project, isn't it!

– Léon Pelletier
Jan 3 at 17:16







Indeed, at the end, I realize that there is a requirement to combine all expressions and to follow operator/operation priorities. And if there are conditions inside functions, I lose optimization opportunities. At the strict minimum, I want to reduce at least the number of function entry points. I'll read that linked question throughfully, thanks! I feel like I'll need a code analyzer to separate code in blocks before combining and optimizing functions. Funny side-project, isn't it!

– Léon Pelletier
Jan 3 at 17:16






1




1





Many compilers inline functions to avoid the calls, feel free to play around with it but these things are usually left for the compiler

– juvian
Jan 3 at 17:39





Many compilers inline functions to avoid the calls, feel free to play around with it but these things are usually left for the compiler

– juvian
Jan 3 at 17:39












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