Reported speech in thoughts
English has reported speech.
She said: I like swimming
She said "I like swimming". That's direct speech/quotation.
She said that she liked swimming.
I said "she likes swimming"
I said she liked swimming
Does the same rule apply to sentences like: I thought she liked swimming?
Thought and say - are they the same in this context? It's quite confusing when appears in films because in indirect speech verb tenses change.

Question

Reported speech in thoughts
English has reported speech. 
She said: I like swimming
She said "I like swimming". That's direct speech/quotation. 
She said that she liked swimming. 
I said "she likes swimming"
I said she liked swimming
Does the same rule apply to sentences like: I thought she liked swimming?
Thought and say - are they the same in this context? It's quite confusing when appears in films because in indirect speech verb tenses change.

Answer

Sentences beginning with 'I thought...' aren't reported speech, but they do need to be followed by another past tense.  For example:

We're going to New York next week.
Are you? I thought you were going to Washington.

Answer

Thank you Shawn! You were very helpful!

Answer

The same applies to "write". For instance, 1. He wrote that he is a big anime fan. 2. He wrote, "I am a big anime fan." It also applies to "guess". For instance, 1. He guessed that she had missed the bus. 2. He guessed "She missed the bus." (In response to someone saying "Guess what she did today.")

Answer

You do the same thing in American English with thoughts. For instance: 1. I thought that I brought my jacket but I didn't. (the same pattern as indirect discourse) 2. I thought, "I brought my jacket, didn't I?" (the same pattern as direct discourse)