Question

Be supposed to do 和 suppose to do 有什么区别

比如： I am supposed to be calling you to dinner
和 I suppose to call you for dinner.
另外，解释下，不定式的进行式在表达上有什么功能。

Answer 1

be supposed to + infinitive = should
我应该叫你吃饭，这里的不定式进行时是由于suppose这个非谓语动词引起的，表示将来。

supposed to be = generally believed to be
This stuff’s supposed to be good for stomach cramps. Why don’t you try it?

I suppose to call you for dinner. 这句话应该是错误的。应该是口语中的省略现象造成的。
When you are practising these examples in speech, note that the final d in supposed to is not pronounced. It is pronounced as 'suppose to', but should always be written in its correct form grammatically as supposed to.
如果一定要翻译可以理解为我想请你吃饭
suppose = think/believe/imagine/expect
I suppose it’s too late to see the doctor now, isn’t it?

不定式的进行式所表示的动作与谓语动词动作同时发生，也可以表示将来。

Answer 2

例句
1 "I suppose the first really significant thing that the world heard about was chimpanzees using and making tools.
2 Suppose I want to do little piece of code that's going to do planar geometry, points in the plane.
好，因此我需要一些,把这些东西收集到一起的一些方式。
3 I suppose the charitable thing would be give Serena the opportunity To beg for forgiveness.
Don't get too lost, Bass.
我想宽容地,给瑟琳娜一次机会,让她求我原谅。
别玩得太过火，巴斯。

仅供参考
第一句是假设我将打电话叫你吃晚餐，即Suppose I will be calling you to dinner.
第二句是我想打电话叫你吃晚餐

Answer 3

一个主动一个被动