\documentclass[a4]{article}
\usepackage{cmap} % fix search and cut-and-paste in Acrobat Reader
\usepackage[LGRx,T2A, T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{parskip}
\usepackage{booktabs}
% \usepackage{textcomp}

\usepackage{lmodern}
% \usepackage{kerkis}
% \usepackage{gfsdidot}


\newcommand{\LGR}{\fontencoding{LGR}\selectfont}
\newcommand{\Latin}{\fontencoding{T1}\selectfont}

\pagestyle{empty}
% \enlargethispage{1em}

\begin{document}

\subsection*{Greek Unicode with \texttt{lgrenc.dfu}}

The definitions in \texttt{lgrenc.dfu} provide standards-compatible UTF-8
support for Greek based on the extended font encoding definitions in
\texttt{lgrxenc.def}.

Like other \emph{inputenc} Unicode definitions, they only work for text
in the correct font encoding (in this case LGR). 
% e.g. Π produces: 
% ! LaTeX Error: Command \textPi unavailable in encoding T1.
% just like Ж produces:
% ! LaTeX Error: Command \CYRZH unavailable in encoding T1.
%
The font encoding is automatically set to LGR by the babel-languages
\emph{greek} and \emph{polutonikogreek}.

Combined with the accompanying package \texttt{textalpha.sty}, Greek Unicode
characters can be used without explicite language or font-encoding change --
with some limitations (kerning, MakeUppercase/MakeLowercase, multiple
accents) described in \texttt{textalpha-test}.

\Latin
\subsubsection*{Greek and Coptic}

\LGR
\begin{tabular}{rrrrrrrrrrrrrrrrr}
\toprule
& 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 
  \Latin A & \Latin B & \Latin C & \Latin D & \Latin E & \Latin F\\
\midrule
\Latin 370 & * & * & * & * & ʹ & ͵ & * & * & · & · & ͺ & * & * & * & ; &  \\
\Latin 380 & · & · & · & · & ΄ & ΅ & Ά & · & Έ & Ή & Ί & · & Ό & · & Ύ & Ώ\\
\Latin 390 & ΐ & Α & Β & Γ & Δ & Ε & Ζ & Η & Θ & Ι & Κ & Λ & Μ & Ν & Ξ & Ο\\
\Latin 3A0 & Π & Ρ & · & Σ & Τ & Υ & Φ & Χ & Ψ & Ω & Ϊ & Ϋ & ά & έ & ή & ί\\
\Latin 3B0 & ΰ & α & β & γ & δ & ε & ζ & η & θ & ι & κ & λ & μ & ν & ξ & ο\\
\Latin 3C0 & π & ρ & ς & σ & τ & υ & φ & χ & ψ & ω & ϊ & ϋ & ό & ύ & ώ &  \\
\Latin 3D0 & * & * & * & * & * & * & * & * & Ϙ & ϙ & Ϛ & ϛ & Ϝ & ϝ & * & ϟ\\
\Latin 3E0 & Ϡ & ϡ & * & * & * & * & * & * & * & * & * & * & * & * & * & *\\
\Latin 3F0 & * & * & * & * & * & * & * & * & * & * & * & * & * & * & * & *\\
\bottomrule
\end{tabular}

\Latin * glyph missing in LGR, · Unicode point not defined

\subsubsection*{Greek Extended}

\LGR
\begin{tabular}{rrrrrrrrrrrrrrrrr}
\toprule
& 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 &
  \Latin A & \Latin B & \Latin C & \Latin D & \Latin E & \Latin F\\
\midrule
 \Latin 1F00 & ἀ & ἁ & ἂ & ἃ & ἄ & ἅ & ἆ & ἇ & Ἀ & Ἁ & Ἂ & Ἃ & Ἄ & Ἅ & Ἆ & Ἇ\\
 \Latin 1F10 & ἐ & ἑ & ἒ & ἓ & ἔ & ἕ & · & · & Ἐ & Ἑ & Ἒ & Ἓ & Ἔ & Ἕ & · &  \\
 \Latin 1F20 & ἠ & ἡ & ἢ & ἣ & ἤ & ἥ & ἦ & ἧ & Ἠ & Ἡ & Ἢ & Ἣ & Ἤ & Ἥ & Ἦ & Ἧ\\
 \Latin 1F30 & ἰ & ἱ & ἲ & ἳ & ἴ & ἵ & ἶ & ἷ & Ἰ & Ἱ & Ἲ & Ἳ & Ἴ & Ἵ & Ἶ & Ἷ\\
 \Latin 1F40 & ὀ & ὁ & ὂ & ὃ & ὄ & ὅ & · & · & Ὀ & Ὁ & Ὂ & Ὃ & Ὄ & Ὅ & · &  \\
 \Latin 1F50 & ὐ & ὑ & ὒ & ὓ & ὔ & ὕ & ὖ & ὗ & · & Ὑ & · & Ὓ & · & Ὕ & · & Ὗ\\
 \Latin 1F60 & ὠ & ὡ & ὢ & ὣ & ὤ & ὥ & ὦ & ὧ & Ὠ & Ὡ & Ὢ & Ὣ & Ὤ & Ὥ & Ὦ & Ὧ\\
 \Latin 1F70 & ὰ & ά & ὲ & έ & ὴ & ή & ὶ & ί & ὸ & ό & ὺ & ύ & ὼ & ώ & · &  \\
 \Latin 1F80 & ᾀ & ᾁ & ᾂ & ᾃ & ᾄ & ᾅ & ᾆ & ᾇ & ᾈ & ᾉ & ᾊ & ᾋ & ᾌ & ᾍ & ᾎ & ᾏ\\
 \Latin 1F90 & ᾐ & ᾑ & ᾒ & ᾓ & ᾔ & ᾕ & ᾖ & ᾗ & ᾘ & ᾙ & ᾚ & ᾛ & ᾜ & ᾝ & ᾞ & ᾟ\\
 \Latin 1FA0 & ᾠ & ᾡ & ᾢ & ᾣ & ᾤ & ᾥ & ᾦ & ᾧ & ᾨ & ᾩ & ᾪ & ᾫ & ᾬ & ᾭ & ᾮ & ᾯ\\
 \Latin 1FB0 & ᾰ & ᾱ & ᾲ & ᾳ & ᾴ & · & ᾶ & ᾷ & Ᾰ & Ᾱ & Ὰ & Ά & ᾼ & ᾽ & ι & ᾿\\
 \Latin 1Fc0 & ῀ & ῁ & ῂ & ῃ & ῄ & · & ῆ & ῇ & Ὲ & Έ & Ὴ & Ή & ῌ & ῍ & ῎ & ῏\\
 \Latin 1FD0 & ῐ & ῑ & ῒ & ΐ & · & · & ῖ & ῗ & Ῐ & Ῑ & Ὶ & Ί & · & ῝ & ῞ & ῟\\
 \Latin 1FE0 & ῠ & ῡ & ῢ & ΰ & ῤ & ῥ & ῦ & ῧ & Ῠ & Ῡ & Ὺ & Ύ & Ῥ & ῭ & ΅ & `\\
 \Latin 1FF0 & · & · & ῲ & ῳ & ῴ & · & ῶ & ῷ & Ὸ & Ό & Ὼ & Ώ & ῼ & ´ & ῾ &  \\
\bottomrule
\end{tabular}


\subsubsection*{Other Unicode Blocks}

\Latin Latin-1 Supplement: \LGR ¨ « ¯ ´ · »

\Latin IPA Extensions: \LGR ə

\Latin Spacing Modifier Letters: \LGR ˘a % breve

\Latin General Punctuation: ZWNJ\footnote{zero width no joiner}: 
       \LGR A‌‌U ({\Latin comp.} AU) – — ‘ ’ ‰

\Latin Currency Symbols: \LGR €

% TODO: define this (as it looks like) or not (as it is not the same)?
% \Latin Letterlike Symbols: \LGR Ω

\Latin Ancient Greek Numbers: 
\LGR 
𐅄 % \textPiDelta{} % GREEK ACROPHONIC ATTIC FIFTY         
𐅅 % \textPiEta{}   % GREEK ACROPHONIC ATTIC FIVE HUNDRED  
𐅆 % \textPiChi{}   % GREEK ACROPHONIC ATTIC FIVE THOUSAND 
𐅇 % \textPiMu{}    % GREEK ACROPHONIC ATTIC FIFTY THOUSAND
\Latin


\subsubsection*{MakeUppercase, MakeLowercase}

Other Unicode Blocks

\LGR 
\MakeUppercase{¨ « ¯ ´ · »} \MakeLowercase{¨ « ¯ ´ · »}

\MakeUppercase{ə} \MakeLowercase{ə}

\MakeUppercase{˘a } \MakeLowercase{˘a }

\MakeUppercase{AU ($\ne$ A‌‌U) – — ‘ ’ ‰}
\MakeLowercase{AU ($\ne$ A‌‌U) – — ‘ ’ ‰}

\MakeUppercase{€} \MakeLowercase{€}

% \MakeUppercase{Ω} \MakeLowercase{Ω}

\MakeUppercase{
𐅄 % GREEK ACROPHONIC ATTIC FIFTY         
𐅅 % GREEK ACROPHONIC ATTIC FIVE HUNDRED  
𐅆 % GREEK ACROPHONIC ATTIC FIVE THOUSAND 
𐅇 % GREEK ACROPHONIC ATTIC FIFTY THOUSAND
} \MakeLowercase{
𐅄 % GREEK ACROPHONIC ATTIC FIFTY         
𐅅 % GREEK ACROPHONIC ATTIC FIVE HUNDRED  
𐅆 % GREEK ACROPHONIC ATTIC FIVE THOUSAND 
𐅇 % GREEK ACROPHONIC ATTIC FIFTY THOUSAND
}


\Latin Greek and Coptic

\LGR
\MakeUppercase{         ʹ ͵         ͺ       ;   }\\
\MakeUppercase{         ΄ ΅ Ά · Έ Ή Ί   Ό   Ύ Ώ }\\
\MakeUppercase{ ΐ Α Β Γ Δ Ε Ζ Η Θ Ι Κ Λ Μ Ν Ξ Ο }\\
\MakeUppercase{ Π Ρ   Σ Τ Υ Φ Χ Ψ Ω Ϊ Ϋ ά έ ή ί }\\
\MakeUppercase{ ΰ α β γ δ ε ζ η θ ι κ λ μ ν ξ ο }\\
\MakeUppercase{ π ρ ς σ τ υ φ χ ψ ω ϊ ϋ ό ύ ώ   }\\
\MakeUppercase{                 Ϙ ϙ Ϛ ϛ Ϝ ϝ   ϟ }\\
\MakeUppercase{ Ϡ ϡ                             }\\
\MakeUppercase{                                 }


\MakeLowercase{         ʹ ͵         ͺ       ;   }\\
\MakeLowercase{         ΄ ΅ Ά · Έ Ή Ί   Ό   Ύ Ώ }\\
\MakeLowercase{ ΐ Α Β Γ Δ Ε Ζ Η Θ Ι Κ Λ Μ Ν Ξ Ο }\\
\MakeLowercase{ Π Ρ   Σ Τ Υ Φ Χ Ψ Ω Ϊ Ϋ ά έ ή ί }\\
\MakeLowercase{ ΰ α β γ δ ε ζ η θ ι κ λ μ ν ξ ο }\\
\MakeLowercase{ π ρ ς σ τ υ φ χ ψ ω ϊ ϋ ό ύ ώ   }\\
\MakeLowercase{                 Ϙ ϙ Ϛ ϛ Ϝ ϝ   ϟ }\\
\MakeLowercase{ Ϡ ϡ                             }\\
\MakeLowercase{                                 }

\Latin The lowercase of {\LGR Σ} is the «auto-sigma»: 
\LGR Σ $\mapsto$ \MakeLowercase{Σ}, ΣΤ $\mapsto$ \MakeLowercase{ΣΤ}. 
\Latin Add a ZWNJ or use the \verb+\noboundary+ macro to prevent 
       conversion to final sigma: 
\LGR \MakeLowercase{Σ‌ \textSigma\noboundary}.
\Latin The lowercase of {\LGR Ϛ} is {\LGR\MakeLowercase{Ϛ}}.

\newpage

\Latin Greek extended

\LGR
\MakeUppercase{ ἀ ἁ ἂ ἃ ἄ ἅ ἆ ἇ Ἀ Ἁ Ἂ Ἃ Ἄ Ἅ Ἆ Ἇ }\\
\MakeUppercase{ ἐ ἑ ἒ ἓ ἔ ἕ     Ἐ Ἑ Ἒ Ἓ Ἔ Ἕ     }\\
\MakeUppercase{ ἠ ἡ ἢ ἣ ἤ ἥ ἦ ἧ Ἠ Ἡ Ἢ Ἣ Ἤ Ἥ Ἦ Ἧ }\\
\MakeUppercase{ ἰ ἱ ἲ ἳ ἴ ἵ ἶ ἷ Ἰ Ἱ Ἲ Ἳ Ἴ Ἵ Ἶ Ἷ }\\
\MakeUppercase{ ὀ ὁ ὂ ὃ ὄ ὅ     Ὀ Ὁ Ὂ Ὃ Ὄ Ὅ     }\\
\MakeUppercase{ ὐ ὑ ὒ ὓ ὔ ὕ ὖ ὗ   Ὑ   Ὓ   Ὕ   Ὗ }\\
\MakeUppercase{ ὠ ὡ ὢ ὣ ὤ ὥ ὦ ὧ Ὠ Ὡ Ὢ Ὣ Ὤ Ὥ Ὦ Ὧ }\\
\MakeUppercase{ ὰ ά ὲ έ ὴ ή ὶ ί ὸ ό ὺ ύ ὼ ώ     }\\
\MakeUppercase{ ᾀ ᾁ ᾂ ᾃ ᾄ ᾅ ᾆ ᾇ ᾈ ᾉ ᾊ ᾋ ᾌ ᾍ ᾎ ᾏ }\\
\MakeUppercase{ ᾐ ᾑ ᾒ ᾓ ᾔ ᾕ ᾖ ᾗ ᾘ ᾙ ᾚ ᾛ ᾜ ᾝ ᾞ ᾟ }\\
\MakeUppercase{ ᾠ ᾡ ᾢ ᾣ ᾤ ᾥ ᾦ ᾧ ᾨ ᾩ ᾪ ᾫ ᾬ ᾭ ᾮ ᾯ }\\
\MakeUppercase{ ᾰ ᾱ ᾲ ᾳ ᾴ   ᾶ ᾷ Ᾰ Ᾱ Ὰ Ά ᾼ ᾽ ι ᾿ }\\
\MakeUppercase{ ῀ ῁ ῂ ῃ ῄ   ῆ ῇ Ὲ Έ Ὴ Ή ῌ ῍ ῎ ῏ }\\
\MakeUppercase{ ῐ ῑ ῒ ΐ     ῖ ῗ Ῐ Ῑ Ὶ Ί   ῝ ῞ ῟ }\\
\MakeUppercase{ ῠ ῡ ῢ ΰ ῤ ῥ ῦ ῧ Ῠ Ῡ Ὺ Ύ Ῥ ῭ ΅ ` }\\
\MakeUppercase{     ῲ ῳ ῴ   ῶ ῷ Ὸ Ό Ὼ Ώ ῼ ´ ῾   }


\MakeLowercase{ ἀ ἁ ἂ ἃ ἄ ἅ ἆ ἇ Ἀ Ἁ Ἂ Ἃ Ἄ Ἅ Ἆ Ἇ }\\
\MakeLowercase{ ἐ ἑ ἒ ἓ ἔ ἕ     Ἐ Ἑ Ἒ Ἓ Ἔ Ἕ     }\\
\MakeLowercase{ ἠ ἡ ἢ ἣ ἤ ἥ ἦ ἧ Ἠ Ἡ Ἢ Ἣ Ἤ Ἥ Ἦ Ἧ }\\
\MakeLowercase{ ἰ ἱ ἲ ἳ ἴ ἵ ἶ ἷ Ἰ Ἱ Ἲ Ἳ Ἴ Ἵ Ἶ Ἷ }\\
\MakeLowercase{ ὀ ὁ ὂ ὃ ὄ ὅ     Ὀ Ὁ Ὂ Ὃ Ὄ Ὅ     }\\
\MakeLowercase{ ὐ ὑ ὒ ὓ ὔ ὕ ὖ ὗ   Ὑ   Ὓ   Ὕ   Ὗ }\\
\MakeLowercase{ ὠ ὡ ὢ ὣ ὤ ὥ ὦ ὧ Ὠ Ὡ Ὢ Ὣ Ὤ Ὥ Ὦ Ὧ }\\
\MakeLowercase{ ὰ ά ὲ έ ὴ ή ὶ ί ὸ ό ὺ ύ ὼ ώ     }\\
\MakeLowercase{ ᾀ ᾁ ᾂ ᾃ ᾄ ᾅ ᾆ ᾇ ᾈ ᾉ ᾊ ᾋ ᾌ ᾍ ᾎ ᾏ }\\
\MakeLowercase{ ᾐ ᾑ ᾒ ᾓ ᾔ ᾕ ᾖ ᾗ ᾘ ᾙ ᾚ ᾛ ᾜ ᾝ ᾞ ᾟ }\\
\MakeLowercase{ ᾠ ᾡ ᾢ ᾣ ᾤ ᾥ ᾦ ᾧ ᾨ ᾩ ᾪ ᾫ ᾬ ᾭ ᾮ ᾯ }\\
\MakeLowercase{ ᾰ ᾱ ᾲ ᾳ ᾴ   ᾶ ᾷ Ᾰ Ᾱ Ὰ Ά ᾼ ᾽ ι ᾿ }\\
\MakeLowercase{ ῀ ῁ ῂ ῃ ῄ   ῆ ῇ Ὲ Έ Ὴ Ή ῌ ῍ ῎ ῏ }\\
\MakeLowercase{ ῐ ῑ ῒ ΐ     ῖ ῗ Ῐ Ῑ Ὶ Ί   ῝ ῞ ῟ }\\
\MakeLowercase{ ῠ ῡ ῢ ΰ ῤ ῥ ῦ ῧ Ῠ Ῡ Ὺ Ύ Ῥ ῭ ΅ ` }\\
\MakeLowercase{     ῲ ῳ ῴ   ῶ ῷ Ὸ Ό Ὼ Ώ ῼ ´ ῾   }

\end{document}


Problems with text-extraction from PDF with Kerkis: 

     0  1 2 3 4  5   6 7  8  9  A  B  C D E    F
370  *  * * *  ΄  ͵  * *         ι *  * *   ;
380            ΄ ΅  ΄Α   ΄Ε ΄Η  ΄Ι   ΄Ο   ΄Υ  ΄Ω
390   ΐ Α Β Γ ∆  Ε   Ζ Η Θ    Ι Κ  Λ Μ  Ν Ξ    Ο
3Α0  Π  Ρ   Σ Τ  Υ  Φ  Χ Ψ   Ω   Ϊ Ϋ  ά έ  ή    ί
3Β0  ΰ  α ϐ γ δ  ε   Ϲ η  ϑ   ι κ  λ  µ ν  ξ   ο
3῝0  π  ϱ ς σ τ  υ   ϕ χ  ψ  ω   ϊ ϋ  ό ύ  ώ
3∆0  *  * * * *  *   * *     Ϟ  Ϝ  ϝ  Ϝ ϝ  *   ϟ
3Ε0     ϡ * * *  *   * *  *  *  *  *  * *  *   *
3Φ0  *  * * * *  *   * *  *  *  *  *  * *  *   *


0387	GREEK ANO TELEIA    missing
03B6    zeta  	  	          replaced by 03F9	GREEK CAPITAL LUNATE SIGMA SYMBOL
03B8	GREEK SMALL LETTER THETA  replaced by 03D1	GREEK THETA SYMBOL
03C1	GREEK SMALL LETTER RHO    replaced by 03F1	GREEK RHO SYMBOL
03C6	GREEK SMALL LETTER PHI    replaced by 03D5	GREEK PHI SYMBOL


and GFS Didot:

       0   1   2  3  4  5   6 7  8  9  A  B  C D  E   F
370 *      *   *  *   ´  ͵ *  *         ι *  * *   ;
380                   ´  ῆ Α
                         ´ ´    ´Ε ´Η  ´Ι   ´Ο   ´Υ  ´Ω
390 ῆ  ´ι Α   Β   Γ  ∆  Ε Ζ   Η  Θ  Ι  Κ  Λ Μ  Ν  Ξ   Ο
3Α0 Π      Ρ       Σ  Τ  Υ Φ   Χ Ψ   Ω   ῆ
                                        Ι ῆ
                                          Υ  ά έ  ή    ί
3Β0 ῆ ´υ  α    β  γ  δ  ε ζ   η  ϑ   ι κ  λ  μ ν  ξ   ο
 3῝0 π    ρ    ς  σ  τ  υ φ   χ  ψ  ω   ι
                                        ῆ υ
                                          ῆ  ό ύ ώ
3∆0 *      *   *  *  *  * *   *           Ϛ  Ϝ Ϝ  *   Ϟ
3Ε0            *  *  *  * *   *  *  *   * *  * *  *   *
3Φ0 *      *   *  *  *  * *   *  *  *   * *  * *  *   *

