`timescale 1ns/1ps

module mult_piped_8x8_2sC (a, b, clk, reset, y);

input[7:0] a,b;
input clk,reset;
output[15:0] y;

  //--------------------------------------
  // Function: always @ posedge clk       
  //   y(t=0) = a(t-8) * b(t-8)           
  //                                      
  // Simulation: PASSED                   
  // Synthesis: Needs re-timing feature in
  //            synthesis tool            
  //                                      
  //--------------------------------------

reg[7:0] aR[8:0];
reg[7:0] bR[8:0];
reg[15:0] yR[8:0];

always @ (posedge clk) // pipeline_stages
  begin
   aR[7] = aR[6];  // pipeline things
   bR[7] = bR[6];
   yR[7] = yR[6];
   aR[6] = aR[5];
   bR[6] = bR[5];
   yR[6] = yR[5];
   aR[5] = aR[4];
   bR[5] = bR[4];
   yR[5] = yR[4];
   aR[4] = aR[3];
   bR[4] = bR[3];
   yR[4] = yR[3];
   aR[3] = aR[2];
   bR[3] = bR[2];
   yR[3] = yR[2];
   aR[2] = aR[1];
   bR[2] = bR[1];
   yR[2] = yR[1];
   aR[1] = aR[0];
   bR[1] = bR[0];
   yR[1] = yR[0];
   aR[0] = a;
   bR[0] = b;
            // multiply result (a*b) appears after +clk
   yR[0] = multiply_8x8_2sC (aR[0],bR[0]);
  end

function[15:0] multiply_8x8_2sC;
input[7:0] a,b;
reg[7:0] a_mag,b_mag;
reg[14:0] y_mag;
reg[14:0] y_neg;
begin
  case (a[7])
   0: a_mag = a[6:0];
   1: a_mag = 128 - a[6:0];        // max(a_mag) = 128, thus 8 bits
  endcase
  case (b[7])
    0: b_mag = b[6:0];
    1: b_mag = 128 - b[6:0];
  endcase
  y_mag = a_mag * b_mag;            // max(y_mag) = 16384, thus 15 bits
  if ((a[7] ^ b[7]) & (y_mag != 0)) // if (a * b) is -ve AND non-zero
  begin                             // y_mag >=1, <= 16256, thus need only 14 bits
    y_neg = 32768 - y_mag[13:0];    // max(y_neg) = 32767, thus need 15 bits
    multiply_8x8_2sC = {1'b1,y_neg}; 
  end
  else
   multiply_8x8_2sC = y_mag;
end
endfunction

assign y = multiply_8x8_2sC (a,b); // un_pipelined_output
assign y = yR[7];

endmodule


[ [ [ 'module',
      'mult_piped_8x8_2sC',
      '(',
      [['a'], ['b'], ['clk'], ['reset'], ['y']],
      ')',
      ';'],
    [ ['input', '[', '7', ':', '0', ']', 'a', 'b', ';'],
      ['input', 'clk', 'reset', ';'],
      ['output', '[', '15', ':', '0', ']', 'y', ';'],
      ['reg', '[', '7', ':', '0', ']', ['aR', '[', '8', ':', '0', ']'], ';'],
      ['reg', '[', '7', ':', '0', ']', ['bR', '[', '8', ':', '0', ']'], ';'],
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      [ 'always',
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            [[['bR', ['[', '6', ']']], '=', ['bR', ['[', '5', ']']]], ';'],
            [[['yR', ['[', '6', ']']], '=', ['yR', ['[', '5', ']']]], ';'],
            [[['aR', ['[', '5', ']']], '=', ['aR', ['[', '4', ']']]], ';'],
            [[['bR', ['[', '5', ']']], '=', ['bR', ['[', '4', ']']]], ';'],
            [[['yR', ['[', '5', ']']], '=', ['yR', ['[', '4', ']']]], ';'],
            [[['aR', ['[', '4', ']']], '=', ['aR', ['[', '3', ']']]], ';'],
            [[['bR', ['[', '4', ']']], '=', ['bR', ['[', '3', ']']]], ';'],
            [[['yR', ['[', '4', ']']], '=', ['yR', ['[', '3', ']']]], ';'],
            [[['aR', ['[', '3', ']']], '=', ['aR', ['[', '2', ']']]], ';'],
            [[['bR', ['[', '3', ']']], '=', ['bR', ['[', '2', ']']]], ';'],
            [[['yR', ['[', '3', ']']], '=', ['yR', ['[', '2', ']']]], ';'],
            [[['aR', ['[', '2', ']']], '=', ['aR', ['[', '1', ']']]], ';'],
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            [[['yR', ['[', '2', ']']], '=', ['yR', ['[', '1', ']']]], ';'],
            [[['aR', ['[', '1', ']']], '=', ['aR', ['[', '0', ']']]], ';'],
            [[['bR', ['[', '1', ']']], '=', ['bR', ['[', '0', ']']]], ';'],
            [[['yR', ['[', '1', ']']], '=', ['yR', ['[', '0', ']']]], ';'],
            [[['aR', ['[', '0', ']']], '=', ['a']], ';'],
            [[['bR', ['[', '0', ']']], '=', ['b']], ';'],
            [ [ ['yR', ['[', '0', ']']],
                '=',
                [ 'multiply_8x8_2sC',
                  '(',
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              ';']],
          'end']],
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        'multiply_8x8_2sC',
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          ['reg', '[', '14', ':', '0', ']', ['y_neg'], ';']],
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      [ 'assign',
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      ['assign', [['y'], '=', ['yR', ['[', '7', ']']]], ';']],
    'endmodule']]