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BasicComprehensiveExpression.m
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BasicComprehensiveExpression.m
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classdef BasicComprehensiveExpression
properties
NumOfInputs;
Hierarchy; % 'Yes' or 'No'
ListOfPrimaryInputs = nan(1, 6); %[A, A', B, B', C, C']
NumOfPrimaryInputs;
GateName; % AND, OR, XOR, NAND, NOR, XNOR
NumOfNonPrimaryInputs;
Architecure; % a list of BasicComprehensiveExpression Objects
GatePower;
GateArea;
GateLevelDescription;
end
methods
%============================= Constructor ========================
% 1- Constructor
function obj = BasicComprehensiveExpression(minimalMatrixExpression, varargin)
if nargin == 1
obj.Hierarchy = CheckHierarchy(obj, minimalMatrixExpression);
obj.ListOfPrimaryInputs = CheckListOfPrimaryInputs(obj, minimalMatrixExpression);
obj.GateName = CheckGateName(obj, minimalMatrixExpression);
obj.NumOfInputs = CheckNumOfInputs(obj);
obj.NumOfPrimaryInputs = CheckNumOfPrimaryInputs(obj);
obj.NumOfNonPrimaryInputs = CheckNumOfNonPrimaryInputs(obj);
obj.Architecure = CheckArchitecure(obj, minimalMatrixExpression);
[obj.GatePower, obj.GateArea] = CheckPowerAndArea(obj);
%obj = OptimizeThisCircuit(obj);
%obj.GateLevelDescription = CheckGateLevelDescription(obj);
elseif nargin == 2
% Use "varargin{1}", instead of "minimalMatrixExpression", to construct the object you need!
% Create an empty Object
obj.Hierarchy = 0;
obj.ListOfPrimaryInputs = 0;
obj.GateName = 0;
obj.NumOfInputs = 0;
obj.NumOfPrimaryInputs = 0;
obj.NumOfNonPrimaryInputs = 0;
obj.Architecure = 0;
obj.GatePower = 0;
obj.GateArea = 0;
end
end % 1- Constructor END
%==================================================================
%========================== Check Hierarchy =======================
% 2- Check Hierarchy
function [IsHierarchical] = CheckHierarchy(obj, minimalMatrixExpression)
IsHierarchical = 'No';
if ( size(minimalMatrixExpression, 1) == 1 )
IsHierarchical = 'No';
return;
else
for i = 1 : size(minimalMatrixExpression, 1)
if ( sum(minimalMatrixExpression(i, :)) > 1 )
IsHierarchical = 'Yes';
return;
end
end
end
end % 2- Check Hierarchy END
%==================================================================
%====================== CheckListOfPrimaryInputs ==================
% 3- CheckListOfPrimaryInputs
function PrimaryInputs = CheckListOfPrimaryInputs(obj, minimalMatrixExpression)
PrimaryInputs = nan(1, 6);
if isequal(obj.Hierarchy, 'No')
if sum(minimalMatrixExpression(1, :)) == 0
return;
end
if sum(minimalMatrixExpression(1, :)) == 6
return;
end
end
if isequal(obj.Hierarchy, 'No')
for i = 1 : size(minimalMatrixExpression, 1)
for j = 1 : size(minimalMatrixExpression, 2)
if (minimalMatrixExpression(i, j) == 1)
PrimaryInputs(j) = 1;
end
end
end
else % obj.Hierarchy == 'Yes'
for i = 1 : size(minimalMatrixExpression, 1)
if ( sum(minimalMatrixExpression(i, :)) == 1 )
for j = 1 : size(minimalMatrixExpression, 2)
if (minimalMatrixExpression(i, j) == 1)
PrimaryInputs(j) = 1;
end
end
end
end
end
end % 3- CheckListOfPrimaryInputs END
%==================================================================
%==================================================================
% 4- CheckGateName
function Name = CheckGateName(obj, minimalMatrixExpression)
% It's either an OR gate or an AND Gate
Name = cell(1, 2);
if isequal(obj.Hierarchy, 'No')
if sum(minimalMatrixExpression(1, :)) == 0
Name{1} = 'LOGIC0';
Name{2} = uint8(0);
return;
end
if sum(minimalMatrixExpression(1, :)) == 6
Name{1} = 'LOGIC1';
Name{2} = uint8(0);
return;
end
end
if isequal(obj.Hierarchy, 'No')
if ( size(minimalMatrixExpression, 1) == 1 ) % either AND or Buffer
if ( sum(minimalMatrixExpression(1, :)) == 1 )
Name{1} = 'BUF';
Name{2} = uint8(1);
else
Name{1} = 'AND';
Name{2} = uint8( sum(minimalMatrixExpression(1, :)) );
end
else % More than one row => Then it is an OR gate, definately
Name{1} = 'OR';
Name{2} = uint8( size(minimalMatrixExpression, 1) );
end
else % Hierarchy == 'Yes'
Name{1} = 'OR';
Name{2} = size(minimalMatrixExpression, 1);
end
end % 4- CheckGateName END
%==================================================================
%======================== NumOfPrimaryInputs ======================
% 5- NumOfPrimaryInputs
function NumberOfPrimaryInputs = CheckNumOfPrimaryInputs(obj)
NumberOfPrimaryInputs = 0;
for i = 1 : 6
if (obj.ListOfPrimaryInputs(i) == 1)
NumberOfPrimaryInputs = NumberOfPrimaryInputs + 1;
end
end
end % 5- NumOfPrimaryInputs END
%==================================================================
%===================== CheckNumOfNonPrimaryInputs =================
function NumberOfNonPrimaryInputs = CheckNumOfNonPrimaryInputs(obj)
NumberOfNonPrimaryInputs = obj.NumOfInputs - obj.NumOfPrimaryInputs;
end
%==================================================================
%========================== CheckArchitecure ======================
% 6- CheckArchitecure
function Arch = CheckArchitecure(obj, minimalMatrixExpression)
Arch = cell(1, obj.NumOfNonPrimaryInputs);
j = 1;
if ( isequal(obj.Hierarchy, 'No') )
return;
else
for i = 1 : size(minimalMatrixExpression, 1)
if ( sum(minimalMatrixExpression(i, :)) > 1 )
Arch{1, j} = BasicComprehensiveExpression(minimalMatrixExpression(i, :));
j = j + 1;
end
end
end
end % 6 - CheckArchitecure END
%==================================================================
%=========================== CheckNumOfInputs =====================
% 7- CheckNumOfInputs
function NumberOfInputs = CheckNumOfInputs(obj)
NumberOfInputs = obj.GateName{2};
end
%==================================================================
%==================================================================
% 8- CheckPower&Area
function [WholePower, WholeArea] = CheckPowerAndArea(obj)
nanGateLibrary = loadNanGateOpenCellLibrary_Typical;
WholePower = 0;
WholeArea = 0;
ThisGatePower = 0;
ThisGateArea = 0;
MyArchPower = 0;
MyArchArea = 0;
ThisNumOfNot= 0;
ThisGateName = [obj.GateName{1}, int2str(obj.GateName{2}), '_X1' ];
% find my gate in "nanGateLibrary" and its power and area
for i = 1 : size(nanGateLibrary, 1)
if isequal(ThisGateName, nanGateLibrary{i, 1})
ThisGatePower = nanGateLibrary{i, 2};
ThisGateArea = nanGateLibrary{i, 4};
break;
end
end
% find how many "INV" do I have in my primaryInputs and add their power and area too
for i = 1 : size(obj.ListOfPrimaryInputs, 2)
if ( (obj.ListOfPrimaryInputs(i) == 1) )
if ( mod(i, 2) == 0 )
ThisNumOfNot = ThisNumOfNot + 1;
end
end
end
ThisGatePower = ThisGatePower + ThisNumOfNot * nanGateLibrary{4, 2};
ThisGateArea = ThisGateArea + ThisNumOfNot * nanGateLibrary{4, 4};
if isequal(obj.Hierarchy, 'No')
WholePower = ThisGatePower;
WholeArea = ThisGateArea ;
else % Hierarchy == 'Yes'
%WholePower = ThisGatePower + MyArchPower;
%WholeArea = ThisGateArea + MyArchArea;
for i = 1 : size(obj.Architecure, 2)
MyArchPower = MyArchPower + obj.Architecure{i}.GatePower;
MyArchArea = MyArchArea + obj.Architecure{i}.GateArea ;
end
WholePower = ThisGatePower + MyArchPower;
WholeArea = ThisGateArea + MyArchArea;
end
end
%==================================================================
%=========================== OptimizeThisCircuit ==================
% X- OptimizeThisCircuit
function OptimizedObj = OptimizeThisCircuit(obj)
% OptimizedObj is an Object of "BasicComprehensiveExpression"
% Here we should Optimize the current Object "obj" and store it in "Optimizedobj"
% Create an Empty Object
% OptObj = BasicComprehensiveExpression(0, 0);
OptXORChild = BasicComprehensiveExpression(0, 0);
% OptNANDChild = BasicComprehensiveExpression(0, 0);
% Optimized Parameters
% OptNumOfInputs;
% OptHierarchy;
% OptListOfPrimaryInputs;
% OptNumOfPrimaryInputs;
% OptGateName;
% OptNumOfNonPrimaryInputs;
OptArchitecture = 'NULL';
% OptGatePower;
% OptGateArea;
RemovedObjetsIndexes = zeros(1, size(obj.Architecure, 2));
% 1) XOR/XNOR
% 1.1) First we should check the XOR condition
if ( (isequal(obj.Hierarchy, 'Yes')) && (size(obj.Architecure, 2)>1) )
for i = 1 : size(obj.Architecure, 2)-1
for j = i+1 : size(obj.Architecure, 2)
[Flag, GateType, ListOfInputs] = CheckXORCondition ...
(obj.Architecure{i}, obj.Architecure{j});
if Flag == true
RemovedObjetsIndexes(i) = 1;
RemovedObjetsIndexes(j) = 1;
% Create the Optimized Child
% Put it into obj.Architecture
OptXORChild.Hierarchy = 'No';
OptXORChild.ListOfPrimaryInputs = ListOfInputs;
OptXORChild.GateName = GateType;
OptXORChild.NumOfInputs = GateType{2};
OptXORChild.NumOfPrimaryInputs = GateType{2};
OptXORChild.NumOfNonPrimaryInputs = 0;
OptXORChild.Architecure = cell(1, 0);
OptXORChild.GatePower = 6.6200;
OptXORChild.GateArea = 1.5960;
OptArchitecture = OptXORChild;
break; % Since there's only ONE XOR/XNOR available
end
end
end
% 1.2) Replace the XOR with two AND gates
if ~(isequal(OptArchitecture, 'NULL'))
newArch = cell(1, size(obj.Architecure, 2)-1);
newArch{1} = OptXORChild;
j = 2;
for i = 1 : size(obj.Architecure, 2)
if RemovedObjetsIndexes(i) == 0
newArch{j} = obj.Architecure{i};
j = j + 1;
end
end
% Modify the Current Object
obj.Architecure = newArch;
obj.NumOfNonPrimaryInputs = obj.NumOfNonPrimaryInputs - 1;
obj.NumOfInputs = obj.NumOfInputs - 1;
if obj.NumOfInputs == 1
obj.GateName{1} = 'BUF';
obj.GateName{2} = uint8(1);
else
obj.GateName{2} = obj.GateName{2} - 1;
end
[obj.GatePower, obj.GateArea] = CheckPowerAndArea(obj);
end
end
% 2) NAND/NOR
if ~isequal(obj.GateName{1}, 'BUF')
% If obj.NumOfPrimaryInputs with no NOT > NumOfGates + NumOfPrimaryInputs with Not
% Then Do nothing Other Wise
% Invert this gate and all its child gates and all its Primary Inputs
NumOfPrimaryInputsWithNoNOT = 0;
NumOfGates = 0;
NumOfPrimaryInputsWithNOT = 0;
% Find Num of Primary Inputs With No NOT
% Find Num of Primary Inputs With NOT
for i = 1 : size(obj.ListOfPrimaryInputs, 2)
if ( (obj.ListOfPrimaryInputs(i) == 1) )
if ( mod(i, 2) == 1 )
NumOfPrimaryInputsWithNoNOT = NumOfPrimaryInputsWithNoNOT + 1;
elseif ( mod(i, 2) == 0 )
NumOfPrimaryInputsWithNOT = NumOfPrimaryInputsWithNOT + 1;
end
end
end
% Find Num Of Gates
if isequal(obj.Hierarchy, 'No')
NumOfGates = 0;
else
NumOfGates = size(obj.Architecure, 2);
end
if NumOfPrimaryInputsWithNoNOT < (NumOfGates + NumOfPrimaryInputsWithNOT)
% DUAL THIS GATE, INVERT ALL CHILD GATES AND ALL PRIMARY INPUTS
% 1) Dual This Gate
if isequal (obj.GateName{1}, 'AND')
obj.GateName{1} = 'NOR';
elseif isequal (obj.GateName{1}, 'OR')
obj.GateName{1} = 'NAND';
elseif isequal (obj.GateName{1}, 'XOR')
obj.GateName{1} = 'XNOR';
elseif isequal (obj.GateName{1}, 'NAND')
obj.GateName{1} = 'OR';
elseif isequal (obj.GateName{1}, 'NOR')
obj.GateName{1} = 'AND';
elseif isequal (obj.GateName{1}, 'XNOR')
obj.GateName{1} = 'XOR';
end
% INVERT ALL CHILD GATES
if isequal(obj.Hierarchy, 'Yes')
for i = 1 : size(obj.Architecure, 2)
if isequal(obj.Architecure{i}.GateName{1}, 'AND')
obj.Architecure{i}.GateName{1} = 'NAND';
elseif isequal(obj.Architecure{i}.GateName{1}, 'OR')
obj.Architecure{i}.GateName{1} = 'NOR';
elseif isequal(obj.Architecure{i}.GateName{1}, 'XOR')
obj.Architecure{i}.GateName{1} = 'XNOR';
elseif isequal(obj.Architecure{i}.GateName{1}, 'NAND')
obj.Architecure{i}.GateName{1} = 'AND';
elseif isequal(obj.Architecure{i}.GateName{1}, 'NOR')
obj.Architecure{i}.GateName{1} = 'OR';
elseif isequal(obj.Architecure{i}.GateName{1}, 'XNOR')
obj.Architecure{i}.GateName{1} = 'XOR';
end
end
end
% INVERT ALL PRIMARY INPUTS
for i = 1 : 2 : size(obj.ListOfPrimaryInputs, 2)
if (obj.ListOfPrimaryInputs(i) == 1)
obj.ListOfPrimaryInputs(i+1) = 1;
obj.ListOfPrimaryInputs(i) = NaN;
elseif (obj.ListOfPrimaryInputs(i+1) == 1)
obj.ListOfPrimaryInputs(i) = 1;
obj.ListOfPrimaryInputs(i+1) = NaN;
end
end
end
[obj.GatePower, obj.GateArea] = CheckPowerAndArea(obj);
end
for i = 1 : size(obj.Architecure, 2)
[obj.Architecure{i}.GatePower, obj.Architecure{i}.GateArea] = ...
obj.Architecure{i}.CheckPowerAndArea();
end
[obj.GatePower, obj.GateArea] = CheckPowerAndArea(obj);
OptimizedObj = obj;
end % X- OptimizeThisCircuit
%==================================================================
%==================================================================
% 10- CheckGateLevelDescription
function GateLevelHDL = CheckGateLevelDescription(obj)
Symbols = 'ABC';
if isequal(obj.GateName{1}, 'LOGIC0')
GateLevelHDL = '1''b0';
return;
elseif isequal(obj.GateName{1}, 'LOGIC1')
GateLevelHDL = '1''b1';
return;
end
GateLevelHDL = cell(1, obj.GateName{2} + obj.GateName{2}-1);
j = 1;
for i = 2 : 2 : size(GateLevelHDL, 2)
if isequal(obj.GateName{1}, 'AND')
GateLevelHDL{i} = '&';
elseif isequal(obj.GateName{1}, 'OR')
GateLevelHDL{i} = '|';
elseif isequal(obj.GateName{1}, 'XOR')
GateLevelHDL{i} = '^';
elseif isequal(obj.GateName{1}, 'NAND')
GateLevelHDL{i} = '~&';
elseif isequal(obj.GateName{1}, 'NOR')
GateLevelHDL{i} = '~|';
elseif isequal(obj.GateName{1}, 'XNOR')
GateLevelHDL{i} = '~^';
end
end
if isequal(obj.Hierarchy, 'Yes')
% For Both Primary and Non-Primary Inputs
% 1- Primary Inputs
for i = 1 : size(obj.ListOfPrimaryInputs, 2)
if obj.ListOfPrimaryInputs(i) == 1
GateLevelHDL{j} = '(';
if ceil(i/2) == 1
if ( mod(i, 2) == 1 )
GateLevelHDL{j} = [GateLevelHDL{j}, 'A'];
elseif ( mod(i, 2) == 0 )
GateLevelHDL{j} = [GateLevelHDL{j}, '~A'];
end
elseif ceil(i/2) == 2
if ( mod(i, 2) == 1 )
GateLevelHDL{j} = [GateLevelHDL{j}, 'B'];
elseif ( mod(i, 2) == 0 )
GateLevelHDL{j} = [GateLevelHDL{j}, '~B'];
end
elseif ceil(i/2) == 3
if ( mod(i, 2) == 1 )
GateLevelHDL{j} = [GateLevelHDL{j}, 'C'];
elseif ( mod(i, 2) == 0 )
GateLevelHDL{j} = [GateLevelHDL{j}, '~C'];
end
end
GateLevelHDL{j} = [GateLevelHDL{j}, ')'];
j = j + 2;
end
end
% 2- Non-Primary Inputs
for i = 1 : size(obj.Architecure, 2)
GateLevelHDL{j} = '(';
CurrentChildGateLevelHDL = ...
cell(1, obj.Architecure{i}.GateName{2} + ...
obj.Architecure{i}.GateName{2}-1);
h = 1;
for k = 2 : 2 : size(CurrentChildGateLevelHDL, 2)
if isequal(obj.Architecure{i}.GateName{1}, 'AND')
CurrentChildGateLevelHDL{k} = '&';
elseif isequal(obj.Architecure{i}.GateName{1}, 'OR')
CurrentChildGateLevelHDL{k} = '|';
elseif isequal(obj.Architecure{i}.GateName{1}, 'XOR')
CurrentChildGateLevelHDL{k} = '^';
elseif isequal(obj.Architecure{i}.GateName{1}, 'NAND')
CurrentChildGateLevelHDL{k} = '~&';
elseif isequal(obj.Architecure{i}.GateName{1}, 'NOR')
CurrentChildGateLevelHDL{k} = '~|';
elseif isequal(obj.Architecure{i}.GateName{1}, 'XNOR')
CurrentChildGateLevelHDL{k} = '~^';
end
end
for k = 1 : size(obj.Architecure{i}.ListOfPrimaryInputs, 2)
if obj.Architecure{i}.ListOfPrimaryInputs(k) == 1
CurrentChildGateLevelHDL{h} = '(';
if ceil(k/2) == 1
if ( mod(k, 2) == 1 )
CurrentChildGateLevelHDL{h} = [CurrentChildGateLevelHDL{h}, 'A'];
elseif ( mod(k, 2) == 0 )
CurrentChildGateLevelHDL{h} = [CurrentChildGateLevelHDL{h}, '~A'];
end
elseif ceil(k/2) == 2
if ( mod(k, 2) == 1 )
CurrentChildGateLevelHDL{h} = [CurrentChildGateLevelHDL{h}, 'B'];
elseif ( mod(k, 2) == 0 )
CurrentChildGateLevelHDL{h} = [CurrentChildGateLevelHDL{h}, '~B'];
end
elseif ceil(k/2) == 3
if ( mod(k, 2) == 1 )
CurrentChildGateLevelHDL{h} = [CurrentChildGateLevelHDL{h}, 'C'];
elseif ( mod(k, 2) == 0 )
CurrentChildGateLevelHDL{h} = [CurrentChildGateLevelHDL{h}, '~C'];
end
end
CurrentChildGateLevelHDL{h} = [CurrentChildGateLevelHDL{h}, ')'];
h = h + 2;
end
end
GateLevelHDL{j} = [GateLevelHDL{j}, CurrentChildGateLevelHDL];
GateLevelHDL{j} = [GateLevelHDL{j}, ')'];
j = j + 2;
end
else % Hierarchy == 'No'
% Only for Primary Inputs
j = 1;
for i = 1 : size(obj.ListOfPrimaryInputs, 2)
if obj.ListOfPrimaryInputs(i) == 1
GateLevelHDL{j} = '(';
if ceil(i/2) == 1
if ( mod(i, 2) == 1 )
GateLevelHDL{j} = [GateLevelHDL{j}, 'A'];
elseif ( mod(i, 2) == 0 )
GateLevelHDL{j} = [GateLevelHDL{j}, '~A'];
end
elseif ceil(i/2) == 2
if ( mod(i, 2) == 1 )
GateLevelHDL{j} = [GateLevelHDL{j}, 'B'];
elseif ( mod(i, 2) == 0 )
GateLevelHDL{j} = [GateLevelHDL{j}, '~B'];
end
elseif ceil(i/2) == 3
if ( mod(i, 2) == 1 )
GateLevelHDL{j} = [GateLevelHDL{j}, 'C'];
elseif ( mod(i, 2) == 0 )
GateLevelHDL{j} = [GateLevelHDL{j}, '~C'];
end
end
GateLevelHDL{j} = [GateLevelHDL{j}, ')'];
j = j + 2;
end
end
end
TempGateLevelHDL = [];
for i = 1 : size(GateLevelHDL, 2)
if isequal(class(GateLevelHDL{i}), 'char')
TempGateLevelHDL = [TempGateLevelHDL, ' ', GateLevelHDL{i}];
elseif isequal(class(GateLevelHDL{i}), 'cell')
for j = 1 : size(GateLevelHDL{i}, 2)
TempGateLevelHDL = [TempGateLevelHDL, ' ', GateLevelHDL{i}{j}];
end
end
end
GateLevelHDL = TempGateLevelHDL;
end
%==================================================================
end % END of METHODS
end