How to fully left justify text in algorithmicx when not using line numbers

Question

I'm using the algorithmicx package and would like to fully left justify the text when not using line numbers. Here's an example:

Notice how only the Require and Ensure clauses are fully pushed to the left. How can I make the rest of the code be fully left justified as well?

Here's a minimal example:

\documentclass[a4paper,11pt]{article}

\usepackage{algorithmicx}
\usepackage{algorithm}
\usepackage{algpseudocode}
\usepackage{amsmath}

\begin{document}

\begin{algorithm}
\caption{Algorithm Name}
\begin{algorithmic}
\Require some input
\Ensure some output
\Statex
\State \textbf{something}
\State more text
\begin{enumerate}
    \item list item 1
    \item an equation
        \begin{equation*}
            f(n) = \begin{cases}
            1 & i = 1\\
            f(n-1) + f(n-2) & i > 1
                  \end{cases}
        \end{equation*} 
    \item third item 
\end{enumerate}  
\State last line
\end{algorithmic}
\end{algorithm}

\end{document}

Answer 1

You should consider using the functionality of algorithmicx to produce your formatting requirements, rather than using the algorithmic environment merely as a shell for regular document elements.

Regarldess, this may be what you're after (using Marco's suggestion to use enumitem):

\documentclass[a4paper,11pt]{article}
\setlength{\parindent}{0pt}% Just for this example
\usepackage{algorithm}% http://ctan.org/pkg/algorithms
\usepackage{algpseudocode}% http://ctan.org/pkg/algorithmicx
\usepackage{amsmath}% http://ctan.org/pkg/amsmath
\usepackage{enumitem}% http://ctan.org/pkg/enumitem
\makeatletter
\def\algbackskip{\hskip\dimexpr-\algorithmicindent+\labelsep}
\def\LState{\State \algbackskip}%
\makeatother
\begin{document}

\begin{algorithm}
  \caption{Algorithm Name}
  \begin{algorithmic}
    \Require some input
    \Ensure some output
  \Statex
  \LState \textbf{something}
  \LState more text
  \begin{enumerate}[leftmargin=0pt,itemindent=1.5em]
    \item list item 1
    \item an equation
        \begin{equation*}
            f(n) = \begin{cases}
            1 & i = 1\\
            f(n-1) + f(n-2) & i > 1
                  \end{cases}
        \end{equation*} 
    \item third item 
  \end{enumerate}  
  \LState last line
\end{algorithmic}
\end{algorithm}

\textbf{something}\par
more text
\begin{enumerate}
    \item list item 1
    \item an equation
        \begin{equation*}
            f(n) = \begin{cases}
            1 & i = 1\\
            f(n-1) + f(n-2) & i > 1
                  \end{cases}
        \end{equation*} 
    \item third item 
\end{enumerate}  
last line
\end{document}

I've defined \LState which represents a left-aligned \State. Not sure how effective this would be if you have nested content within an \LState (haven't tested it yet).

The upper algorithm shows the required output, while the lower "algorithm" shows the same content set in regular text (for comparison purposes). There is slight horizontal adjustment in the displayed equation.