How to override trait function and call it from the overridden function?

If the class implements the method directly, it will not use the traits version. Perhaps what you are thinking of is:

trait A {
    function calc($v) {
        return $v+1;
    }
}

class MyClass {
    function calc($v) {
        return $v+2;
    }
}

class MyChildClass extends MyClass{
}

class MyTraitChildClass extends MyClass{
    use A;
}

print (new MyChildClass())->calc(2); // will print 4

print (new MyTraitChildClass())->calc(2); // will print 3

Because the child classes do not implement the method directly, they will first use that of the trait if there otherwise use that of the parent class.

If you want, the trait can use method in the parent class (assuming you know the method would be there) e.g.

trait A {
    function calc($v) {
        return parent::calc($v*3);
    }
}
// .... other code from above
print (new MyTraitChildClass())->calc(2); // will print 8 (2*3 + 2)

You can also provide for ways to override, but still access the trait method as follows:

trait A {
    function trait_calc($v) {
        return $v*3;
    }
}

class MyClass {
    function calc($v) {
        return $v+2;
    }
}


class MyTraitChildClass extends MyClass{
    use A {
      A::trait_calc as calc;
    }
}


class MySecondTraitChildClass extends MyClass{
    use A {
      A::trait_calc as calc;
    }

    public function calc($v) {
      return $this->trait_calc($v)+.5;
    }
}


print (new MyTraitChildClass())->calc(2); // will print 6
echo "\n";
print (new MySecondTraitChildClass())->calc(2); // will print 6.5

You can see it work at http://sandbox.onlinephpfunctions.com/code/e53f6e8f9834aea5e038aec4766ac7e1c19cc2b5

An alternative approach if interested - with an extra intermediate class to use the normal OOO way. This simplifies the usage with parent::methodname

trait A {
    function calc($v) {
        return $v+1;
    }
}

// an intermediate class that just uses the trait
class IntClass {
    use A;
}

// an extended class from IntClass
class MyClass extends IntClass {
    function calc($v) {
        $v++;
        return parent::calc($v);
    }
}

Your last one was almost there:

trait A {
    function calc($v) {
        return $v+1;
    }
}

class MyClass {
    use A {
        calc as protected traitcalc;
    }

    function calc($v) {
        $v++;
        return $this->traitcalc($v);
    }
}

The trait is not a class. You can't access its members directly. It's basically just automated copy and paste...