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\documentclass{article}
\usepackage{graphicx}
\usepackage{lmodern}
\usepackage[T1]{fontenc}
\usepackage{amsmath}
\usepackage{correctmathalign}
\title{Correction Spacings: eqnarray(*), aligned, alignedat, and gathered}
\author{Yuwsuke Kieda}
\date{2017/04/04 v1.1}
\renewcommand\labelitemi{\textendash}
\begin{document}
\maketitle
\section{Descriptions}
We will realignment some expression environments spacing.
It is a correction in the horizontal spacing of the alignment.
\section{Usage}
\subsection{Preamble}
\begin{verbatim}
\usepackage{amsmath}
\usepackage{correctmathalign}
\end{verbatim}
Remark: amsmath package is optional: if you use aligned, alignedat, or gathered environments.
Remark: The problem with the amsmath package (2016/11/05 2.16a) was solved by the original. See the options \texttt{alignedleftspaceyes}, \texttt{alignedleftspaceno}, and \texttt{alignedleftspaceyesifneg}.
We dealt with versions prior to 2016/03/10 v2.15b.
\subsection{Options}
\begin{itemize}
\item \verb!latexorg!: original behavior of LaTeX/amsmath package
\item \verb!fleqn!: corresponds to class file and/or amsmath package's fleqn option
\end{itemize}
\section{File with Original Definitions}
\begin{itemize}
\item \verb!eqnarray!: latex.ltx
\item \verb!\start@aligned! and \verb!\gathered!: amsmath.sty (before 2016/03/10 v2.15b)
\end{itemize}
\section{License}
BSD 2-Clause License
\section{Samples}
Cf.\ defaults of \LaTeX{}\ and \texttt{amsmath.sty} before 2016/03/10 v2.15b (Figures~\ref{fig1} and~\ref{fig2}).
\setbox9\hbox{Figure 1: \texttt{eqnarray*} environment}%
\setbox8\hbox{Figure 2: \texttt{aligned} environment}%
\begin{figure}
\centering
\begin{minipage}[t]{\wd9}
\centering
\includegraphics{eqnarray-org.pdf}
\caption{\texttt{eqnarray*} environment by \LaTeX{}\ default.}
\label{fig1}
\end{minipage}\qquad
\begin{minipage}[t]{\wd8}
\centering
\includegraphics{aligned-org.pdf}
\caption{\texttt{aligned} environment by \texttt{amsmath.sty} default (before 2016/03/10 v2.15b).}
\label{fig2}
\end{minipage}
\end{figure}
\noindent
\begin{center}
\makeatletter\@wholewidth0pt\makeatother
\frame{%
\begin{minipage}{\wd9}
\[
\mathrm{I} = \mathrm{H}(x + 1)
\]
\begin{eqnarray*}
\mathrm{I} &=& \mathrm{H}(x)\\
&=& \mathrm{H}(x + 1)
\end{eqnarray*}
\end{minipage}}\qquad
\frame{%
\begin{minipage}{\wd8}
\begin{align*}
\mathrm{I} & \begin{aligned}[t]
&= \mathrm{H}(x)\\
&= \mathrm{H}(x + 1)
\end{aligned}\\
\mathrm{I} &= \mathrm{H}(x)\\
&= \mathrm{H}(x + 1)
\end{align*}
\end{minipage}}
\end{center}
\subsection{Use \LaTeX{}\ code}
\begin{verbatim}
\[
\mathrm{I} = \mathrm{H}(x + 1)
\]
\begin{eqnarray*}
\mathrm{I} &=& \mathrm{H}(x)\\
&=& \mathrm{H}(x + 1)
\end{eqnarray*}
\begin{align*}
\mathrm{I} & \begin{aligned}[t]
&= \mathrm{H}(x)\\
&= \mathrm{H}(x + 1)
\end{aligned}\\
\mathrm{I} &= \mathrm{H}(x)\\
&= \mathrm{H}(x + 1)
\end{align*}
\end{verbatim}
\end{document}
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