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  1. program miller_rabin_primilarity_test;
  2. function bigmultiplication(x,y,n:longint):longint;
  3. var 
  4. doi:longint;
  5. begin
  6. 	doi:=0;
  7. 	while(y>0) do
  8. 	begin
  9. 		if(y mod 2 =1) then
  10. 		begin
  11. 			doi:=(doi+x)mod n;
  12. 		end;
  13.  
  14. 		x:=(2*x)mod n;
  15. 			y:=y div 2;
  16. 	end;
  17. 	bigmultiplication:=doi;
  18. end;
  19.  
  20.  
  21.  
  22.  
  23. function exponents_mod_n(x,y,n:longint):longint;
  24. var
  25. doi,doing:longint;
  26. begin
  27. 	doing:=x;
  28. 	doi:=1;
  29. 	while(y>0) do
  30. 	begin
  31. 		if(y mod 2 =1) then
  32. 		begin
  33. 			doi:=bigmultiplication(doi,doing,n);
  34. 		end;
  35. 		doing:=bigmultiplication(doing,doing,n);
  36. 			y:=y div 2;
  37. 	end;
  38. 	exponents_mod_n:=doi;
  39. end;
  40. function miller_rabin(p1:longint):boolean;
  41. var
  42. a,p,x,prime:Longint;
  43. i,r,s,d:integer;
  44.  
  45. begin
  46. 	s:=0;
  47. 	Randomize;
  48.  
  49. 	if p1 mod 2 = 0 then
  50. 		begin
  51. 		miller_rabin:=false;
  52. 		exit;
  53. 		end;
  54. 	prime:=p1;
  55. 	p:=p1-1;
  56.  
  57. 	while p mod 2 =0 do
  58. 	begin
  59. 		p:= p div 2;
  60. 		s:=s+1;
  61. 	end;
  62. 	d:=p;
  63. 	for i:=1 to 7 do
  64. 		begin
  65. 			a:=random(prime) mod prime + 1 ;
  66. 			x:=exponents_mod_n(a,d,prime);
  67. 			r:=0;
  68. 			while((r<(s-1)) and (x <> 1) and (x<>prime-1) )do
  69. 			begin
  70.  
  71. 				x:=exponents_mod_n(x,2,prime);
  72. 				if x=1 then
  73. 				begin
  74. 					miller_rabin:=false;
  75. 					exit;
  76. 				end;
  77. 				r:=r+1;
  78. 			end;
  79.  
  80.  
  81. 		end;
  82. 		miller_rabin:=true;
  83. end;
  84. var
  85. prime:longint;
  86. ans:boolean;
  87. begin
  88. 	readln(prime);
  89. 	ans:=miller_rabin(prime);
  90. 	writeln(ans);
  91. end.
  92.  
stdin
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compilation info 
Free Pascal Compiler version 2.2.0 [2009/11/16] for i386
Copyright (c) 1993-2007 by Florian Klaempfl
Target OS: Linux for i386
Compiling prog.pas
Linking prog
91 lines compiled, 0.0 sec
stdout
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TRUE
https://ideone.com/UBRPF
language:
Pascal (fpc 3.0.4)
created:
13 years ago
visibility:
public

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