ffmpeg

yum install yum-utils
yum-config-manager --add-repo http://www.nasm.us/nasm.repo
yum install autoconf automake bzip2 cmake freetype-devel gcc gcc-c++ git libtool make mercurial nasm pkgconfig zlib-devel

mkdir ~/ffmpeg_sources

[Yasm]
An assembler for x86 optimizations used by some libraries. Highly recommended or your resulting build may be very slow.

cd ~/ffmpeg_sources
curl -O http://www.tortall.net/projects/yasm/releases/yasm-1.3.0.tar.gz
tar xzvf yasm-1.3.0.tar.gz
cd yasm-1.3.0
./configure --prefix="$HOME/ffmpeg_build" --bindir="$HOME/bin"
make
make install

[libx264]
H.264 video encoder. See the H.264 Encoding Guide for more information and usage examples.
Requires ffmpeg to be configured with --enable-gpl --enable-libx264.

cd ~/ffmpeg_sources
git clone --depth 1 http://git.videolan.org/git/x264
cd x264
PKG_CONFIG_PATH="$HOME/ffmpeg_build/lib/pkgconfig" ./configure --prefix="$HOME/ffmpeg_build" --bindir="$HOME/bin" --enable-static
make
make install
echo

[libx265]
H.265/HEVC video encoder. See the H.265 Encoding Guide for more information and usage examples.
Requires ffmpeg to be configured with --enable-gpl --enable-libx265.

cd ~/ffmpeg_sources
hg clone https://bitbucket.org/multicoreware/x265
cd ~/ffmpeg_sources/x265/build/linux
cmake -G "Unix Makefiles" -DCMAKE_INSTALL_PREFIX="$HOME/ffmpeg_build" -DENABLE_SHARED:bool=off ../../source
make
make install
echo

[libfdk_aac]
AAC audio encoder.
Requires ffmpeg to be configured with --enable-libfdk_aac (and --enable-nonfree if you also included --enable-gpl).

cd ~/ffmpeg_sources
git clone --depth 1 https://github.com/mstorsjo/fdk-aac
cd fdk-aac
autoreconf -fiv
./configure --prefix="$HOME/ffmpeg_build" --disable-shared
make
make install
echo

[libmp3lame]
MP3 audio encoder.
Requires ffmpeg to be configured with --enable-libmp3lame.

cd ~/ffmpeg_sources
curl -L -O http://downloads.sourceforge.net/project/lame/lame/3.99/lame-3.99.5.tar.gz
tar xzvf lame-3.99.5.tar.gz
cd lame-3.99.5
./configure --prefix="$HOME/ffmpeg_build" --bindir="$HOME/bin" --disable-shared --enable-nasm
make
make install
echo

[libopus]
Opus audio decoder and encoder.
Requires ffmpeg to be configured with --enable-libopus.

cd ~/ffmpeg_sources
curl -O https://archive.mozilla.org/pub/opus/opus-1.1.5.tar.gz
tar xzvf opus-1.1.5.tar.gz
cd opus-1.1.5
./configure --prefix="$HOME/ffmpeg_build" --disable-shared
make
make install

[libogg]
Ogg bitstream library. Required by libtheora and libvorbis.

cd ~/ffmpeg_sources
curl -O https://ftp.osuosl.org/pub/xiph/releases/ogg/libogg-1.3.2.tar.gz
tar xzvf libogg-1.3.2.tar.gz
cd libogg-1.3.2
./configure --prefix="$HOME/ffmpeg_build" --disable-shared
make
make install
echo

[libvorbis]
Vorbis audio encoder. Requires libogg.
Requires ffmpeg to be configured with --enable-libvorbis.

cd ~/ffmpeg_sources
curl -O https://ftp.osuosl.org/pub/xiph/releases/vorbis/libvorbis-1.3.4.tar.gz
tar xzvf libvorbis-1.3.4.tar.gz
cd libvorbis-1.3.4
./configure --prefix="$HOME/ffmpeg_build" --with-ogg="$HOME/ffmpeg_build" --disable-shared
make
make install
echo

;[libvpx]
;VP8/VP9 video encoder and decoder. See the VP9 Video Encoding Guide for more information and usage examples.
;Requires ffmpeg to be configured with --enable-libvpx.
;
;cd ~/ffmpeg_sources
;git clone --depth 1 https://chromium.googlesource.com/webm/libvpx.git
;cd libvpx
;./configure --prefix="$HOME/ffmpeg_build" --disable-examples --disable-unit-tests --enable-vp9-highbitdepth --as=yasm
;PATH="$HOME/bin:$PATH" make
;make install
;echo

[libass]
yum install libass-devel.x86_64

[FFmpeg]
cd ~/ffmpeg_sources
curl -O http://ffmpeg.org/releases/ffmpeg-snapshot.tar.bz2
tar xjvf ffmpeg-snapshot.tar.bz2
cd ffmpeg
PKG_CONFIG_PATH="$HOME/ffmpeg_build/lib/pkgconfig" ./configure --prefix="$HOME/ffmpeg_build" \
  --extra-cflags="-I$HOME/ffmpeg_build/include" --extra-ldflags="-L$HOME/ffmpeg_build/lib -ldl" \
  --bindir="$HOME/bin" --pkg-config-flags="--static" \
  --enable-gpl \
  --enable-libfdk_aac \
  --enable-libfreetype \
  --enable-libmp3lame \
  --enable-libopus \
  --enable-libvorbis \
  --enable-libx264 \
  --enable-libx265 \
  --enable-nonfree \
  --enable-libass
make
make install
hash -r

Compilation is now complete and ffmpeg (also ffprobe, ffserver, lame, and x264) should now be ready to use. The rest of this guide shows how to update or remove FFmpeg.

Tip: Keep the ffmpeg_sources directory and all contents if you intend to update as shown below. Otherwise you can delete this directory.