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ffa_ch5_egypt.kv        1 ------------------------------------------------------------------------------
ffa_ch5_egypt.kv        2 ------------------------------------------------------------------------------
ffa_ch5_egypt.kv        3 -- This file is part of 'Finite Field Arithmetic', aka 'FFA'.               --
ffa_ch5_egypt.kv        4 --                                                                          --
ffa_ch5_egypt.kv        5 -- (C) 2017 Stanislav Datskovskiy ( www.loper-os.org )                      --
ffa_ch5_egypt.kv        6 -- http://wot.deedbot.org/17215D118B7239507FAFED98B98228A001ABFFC7.html     --
ffa_ch5_egypt.kv        7 --                                                                          --
ffa_ch5_egypt.kv        8 -- You do not have, nor can you ever acquire the right to use, copy or      --
ffa_ch5_egypt.kv        9 -- distribute this software ; Should you use this software for any purpose, --
ffa_ch5_egypt.kv       10 -- or copy and distribute it to anyone or in any manner, you are breaking   --
ffa_ch5_egypt.kv       11 -- the laws of whatever soi-disant jurisdiction, and you promise to         --
ffa_ch5_egypt.kv       12 -- continue doing so for the indefinite future. In any case, please         --
ffa_ch5_egypt.kv       13 -- always : read and understand any software ; verify any PGP signatures    --
ffa_ch5_egypt.kv       14 -- that you use - for any purpose.                                          --
ffa_ch5_egypt.kv       15 --                                                                          --
ffa_ch5_egypt.kv       16 -- See also http://trilema.com/2015/a-new-software-licensing-paradigm .     --
ffa_ch5_egypt.kv       17 ------------------------------------------------------------------------------
ffa_ch5_egypt.kv       18 ------------------------------------------------------------------------------
ffa_ch5_egypt.kv       19 
ffa_ch5_egypt.kv       20 with FZ_Type; use FZ_Type;
ffa_ch5_egypt.kv       21 
ffa_ch5_egypt.kv       22 
ffa_ch5_egypt.kv       23 package FZ_Mul is
ffa_ch5_egypt.kv       24    
ffa_ch5_egypt.kv       25    pragma Pure;
ffa_ch5_egypt.kv       26    
ffa_ch10_karatsub...   27    -- Karatsuba Threshhold - at or below this many words, we use Comba mult.
ffa_ch10_karatsub...   28    Karatsuba_Thresh : constant Indices := 8;
ffa_ch10_karatsub...   29    
ffa_ch10_karatsub...   30    -- Multiply. (CAUTION: UNBUFFERED)
ffa_ch10_karatsub...   31    procedure FZ_Multiply(X     : in  FZ;
ffa_ch10_karatsub...   32                          Y     : in  FZ;
ffa_ch10_karatsub...   33                          XY    : out FZ);
ffa_ch10_karatsub...   34    pragma Precondition(X'Length = Y'Length and
ffa_ch10_karatsub...   35                          XY'Length = (X'Length + Y'Length));
ffa_ch10_karatsub...   36    
ffa_ch10_karatsub...   37    -- Comba's multiplier. (CAUTION: UNBUFFERED)
ffa_ch9_exodus.kv      38    procedure FZ_Mul_Comba(X     : in  FZ;
ffa_ch9_exodus.kv      39                           Y     : in  FZ;
ffa_ch10_karatsub...   40                           XY    : out FZ);
ffa_ch10_karatsub...   41    pragma Precondition(X'Length = Y'Length and
ffa_ch10_karatsub...   42                          XY'Length = (X'Length + Y'Length));
ffa_ch10_karatsub...   43    
ffa_ch10_karatsub...   44    -- Karatsuba's Multiplier. (CAUTION: UNBUFFERED)
ffa_ch10_karatsub...   45    procedure Mul_Karatsuba(X  : in  FZ;
ffa_ch10_karatsub...   46                            Y  : in  FZ;
ffa_ch10_karatsub...   47                            XY : out FZ);
ffa_ch10_karatsub...   48    pragma Precondition(X'Length = Y'Length and
ffa_ch10_karatsub...   49                          XY'Length = (X'Length + Y'Length) and
ffa_ch10_karatsub...   50                          X'Length mod 2 = 0);
ffa_ch10_karatsub...   51    -- CAUTION: Inlining prohibited for Mul_Karatsuba !
ffa_ch10_karatsub...   52    
ffa_ch10_karatsub...   53    -- Multiplier. Preserves the inputs.
ffa_ch10_karatsub...   54    procedure FZ_Mult(X     : in  FZ;
ffa_ch10_karatsub...   55                      Y     : in  FZ;
ffa_ch10_karatsub...   56                      XY_Lo : out FZ;
ffa_ch10_karatsub...   57                      XY_Hi : out FZ);
ffa_ch5_egypt.kv       58    pragma Precondition(X'Length = Y'Length and
ffa_ch5_egypt.kv       59                          XY_Lo'Length = XY_Hi'Length and
ffa_ch5_egypt.kv       60                          XY_Lo'Length = ((X'Length + Y'Length) / 2));
ffa_ch5_egypt.kv       61    
ffa_ch5_egypt.kv       62 end FZ_Mul;