Go（语言）常规数字类型/界面

Question

I'm trying to write a package in Go that computes a equation using a "generic" type. To be specific, I want to implement the runge kutta 5 approximation.

This approximation calculates the value of a (unknown) function y at the point t0 + h using only the value of y at t0, the start time t0, the step width h and a differential equation dgl which is of the form dy/dt = g(t,y) where g is some function.

This approximation behaves exactly the same when working with scalar types as when working with vectors (or even matrices). More generally speaking: It works with everything that can be added/subtracted to a value of the same type and can be scaled by a scalar (for which I use float64)

So I tried to express this as a Go interface:

type Numeric interface {
    Add(rhs Numeric) Numeric
    Sub(rhs Numeric) Numeric
    Mul(rhs float64) Numeric
}

But when I try to "implement" this interface, I ran into troubles because of the parameters type:

type Vec6F struct {
    x, y, z float64
    vx, vy, vz float64
}

func (lhs *Vec6F) Add(rhs *Vec6F) rk5.Numeric {
    result := new(Vec6F)
    result.x = lhs.x + rhs.x
    result.y = lhs.y + rhs.y
    result.z = lhs.z + rhs.z
    result.vx = lhs.vx + rhs.vx
    result.vy = lhs.vy + rhs.vy
    result.vz = lhs.vz + rhs.vz
    return result
}

This gives me the error

cannot use result (type *Vec6F) as type rk5.Numeric in return argument:
        *Vec6F does not implement rk5.Numeric (wrong type for Add method
                have Add(*Vec6F) rk5.Numeric
                want Add(rk5.Numeric) rk5.Numeric

which is, on the one hand absolutely logic to me (because rhs could be another object implementing Numeric)

But on the other hand: How do I express something like that in Go? In C++ I could use operator overloading instead, but thats not possible in go.

Answer 1

In order to be generic your Add method must take a Numeric parameter. The normal way to deal with this is with a type assertion like this (on playground)

func (lhs *Vec6F) Add(_rhs Numeric) Numeric {
    result := new(Vec6F)
    rhs := _rhs.(*Vec6F) // type assertion - will panic if wrong type passes
    result.x = lhs.x + rhs.x
    result.y = lhs.y + rhs.y
    result.z = lhs.z + rhs.z
    result.vx = lhs.vx + rhs.vx
    result.vy = lhs.vy + rhs.vy
    result.vz = lhs.vz + rhs.vz
    return result
}

You could also use a type switch if you had different types you wanted to convert between.