Do capital gains affect the tax bracket applicable to my ordinary income?

Hi.  I understand that capital gains are generally taxed at 15% or 20% depending on amount and filing status.  But if I have a large capital gain, will that push my ordinary income into a higher tax bracket?  For example, if I have a capital gain of $1 million, and $50,000 in ordinary income, I understand the capital gain will be taxed at no more than 20% but what about the $50,000 of ordinary income?  Will it be taxed at the same rate as if the $50,000 were my only income, or will it be taxed in the bracket applicable if my income were $1,050,000?   Thank you.