
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Let $f(x)$ be an odd function defined on $\mathbb{R}$ with a period of 4. If in the interval $[-2,0) \cup (0, 2]$, $f(x)$ is defined as 
$$
f(x) = 
\begin{cases} 
ax+b, & -2 \le x < 0 \\
ax-1, & 0 < x \le 2 
\end{cases},
$$ 
find the value of $f(2015)$.

Present the answer in LaTex format: \boxed{Your answer}
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