a little math problem

[John Hunter]

I have a number base, float or int.  I need routines that return the
largest multiple of base < x, largest multiple of base <=x, smallest
multiple of base > x and smallest multiple of base >= x.

For integer base, I have been doing

def nearest_geq(base, x):        
    if x%base!=0:    
        return nearest_gt(base, x)
    else:
        return x

def nearest_leq(base, x):
    return int(x)//base * base

def nearest_gt(base, x):
    return int(x+base)//base * base

def nearest_lt(base, x):
    return int(x-base)//base * base

Is there a more elegant solution that works well for floats too?

JDH