Line 119... |
Line 119... |
assign diff = r_dividend - r_divisor[(BW-1):0];
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assign diff = r_dividend - r_divisor[(BW-1):0];
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// assign xdiff= r_dividend - { 1'b0, r_divisor[(BW-1):1] };
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// assign xdiff= r_dividend - { 1'b0, r_divisor[(BW-1):1] };
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reg r_sign, pre_sign, r_z, r_c, last_bit;
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reg r_sign, pre_sign, r_z, r_c, last_bit;
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reg [(LGBW-1):0] r_bit;
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reg [(LGBW-1):0] r_bit;
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reg zero_divisor;
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reg zero_divisor;
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initial zero_divisor = 1'b0;
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always @(posedge i_clk)
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zero_divisor <= (r_divisor == 0)&&(r_busy);
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// The Divide logic begins with r_busy. We use r_busy to determine
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// whether or not the divide is in progress, vs being complete.
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// Here, we clear r_busy on any reset and set it on i_wr (the request
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// do to a divide). The divide ends when we are on the last bit,
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// or equivalently when we discover we are dividing by zero.
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initial r_busy = 1'b0;
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initial r_busy = 1'b0;
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always @(posedge i_clk)
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always @(posedge i_clk)
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if (i_rst)
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if (i_rst)
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r_busy <= 1'b0;
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r_busy <= 1'b0;
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else if (i_wr)
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else if (i_wr)
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r_busy <= 1'b1;
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r_busy <= 1'b1;
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else if ((last_bit)||(zero_divisor))
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else if ((last_bit)||(zero_divisor))
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r_busy <= 1'b0;
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r_busy <= 1'b0;
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// o_busy is very similar to r_busy, save for some key differences.
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// Primary among them is that o_busy needs to (possibly) be true
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// for an extra clock after r_busy clears. This would be that extra
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// clock where we negate the result (assuming a signed divide, and that
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// the result is supposed to be negative.) Otherwise, the two are
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// identical.
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initial o_busy = 1'b0;
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initial o_busy = 1'b0;
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always @(posedge i_clk)
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always @(posedge i_clk)
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if (i_rst)
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if (i_rst)
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o_busy <= 1'b0;
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o_busy <= 1'b0;
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else if (i_wr)
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else if (i_wr)
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Line 145... |
Line 152... |
else if (((last_bit)&&(~r_sign))||(zero_divisor))
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else if (((last_bit)&&(~r_sign))||(zero_divisor))
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o_busy <= 1'b0;
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o_busy <= 1'b0;
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else if (~r_busy)
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else if (~r_busy)
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o_busy <= 1'b0;
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o_busy <= 1'b0;
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// If we are asked to divide by zero, we need to halt. The sooner
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// we halt and report the error, the better. Hence, here we look
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// for a zero divisor while being busy. The always above us will then
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// look at this and halt a divide in the middle if we are trying to
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// divide by zero.
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//
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// Note that this works off of the 2BW-1 length vector. If we can
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// simplify that, it should simplify our logic as well.
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initial zero_divisor = 1'b0;
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always @(posedge i_clk)
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always @(posedge i_clk)
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if ((i_rst)||(i_wr))
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// zero_divisor <= (r_divisor == 0)&&(r_busy);
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if (i_rst)
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zero_divisor <= 1'b0;
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else if (i_wr)
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zero_divisor <= (i_denominator == 0);
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else if (!r_busy)
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zero_divisor <= 1'b0;
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// o_valid is part of the ZipCPU protocol. It will be set to true
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// anytime our answer is valid and may be used by the calling module.
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// Indeed, the ZipCPU will halt (and ignore us) once the i_wr has been
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// set until o_valid gets set.
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//
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// Here, we clear o_valid on a reset, and any time we are on the last
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// bit while busy (provided the sign is zero, or we are dividing by
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// zero). Since o_valid is self-clearing, we don't need to clear
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// it on an i_wr signal.
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initial o_valid = 1'b0;
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always @(posedge i_clk)
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if (i_rst)
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o_valid <= 1'b0;
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o_valid <= 1'b0;
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else if (r_busy)
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else if (r_busy)
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begin
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begin
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if ((last_bit)||(zero_divisor))
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if ((last_bit)||(zero_divisor))
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o_valid <= (zero_divisor)||(~r_sign);
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o_valid <= (zero_divisor)||(!r_sign);
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end else if (r_sign)
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end else if (r_sign)
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begin
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begin
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o_valid <= (~zero_divisor); // 1'b1;
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o_valid <= (!zero_divisor); // 1'b1;
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end else
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end else
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o_valid <= 1'b0;
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o_valid <= 1'b0;
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// Division by zero error reporting. Anytime we detect a zero divisor,
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// we set our output error, and then hold it until we are valid and
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// everything clears.
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initial o_err = 1'b0;
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initial o_err = 1'b0;
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always @(posedge i_clk)
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always @(posedge i_clk)
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if((i_rst)||(o_valid))
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if((i_rst)||(o_valid))
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o_err <= 1'b0;
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o_err <= 1'b0;
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else if (((r_busy)||(r_sign))&&(zero_divisor))
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else if (((r_busy)||(r_sign))&&(zero_divisor))
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o_err <= 1'b1;
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o_err <= 1'b1;
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else
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else
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o_err <= 1'b0;
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o_err <= 1'b0;
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// r_bit
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//
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// Keep track of which "bit" of our divide we are on. This number
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// ranges from 31 down to zero. On any write, we set ourselves to
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// 5'h1f. Otherwise, while we are busy (but not within the pre-sign
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// adjustment stage), we subtract one from our value on every clock.
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always @(posedge i_clk)
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if ((r_busy)&&(!pre_sign))
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r_bit <= r_bit + {(LGBW){1'b1}};
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else
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r_bit <= {(LGBW){1'b1}};
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// last_bit
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//
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// This logic replaces a lot of logic that was inside our giant state
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// machine with ... something simpler. In particular, we'll use this
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// logic to determine we are processing our last bit. The only trick
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// is, this bit needs to be set whenever (r_busy) and (r_bit == 0),
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// hence we need to set on (r_busy) and (r_bit == 1) so as to be set
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// when (r_bit == 0).
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initial last_bit = 1'b0;
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initial last_bit = 1'b0;
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always @(posedge i_clk)
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always @(posedge i_clk)
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if ((i_wr)||(pre_sign)||(i_rst))
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if (r_busy)
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last_bit <= 1'b0;
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else if (r_busy)
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last_bit <= (r_bit == {{(LGBW-1){1'b0}},1'b1});
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last_bit <= (r_bit == {{(LGBW-1){1'b0}},1'b1});
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else
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last_bit <= 1'b0;
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// pre_sign
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//
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// This is part of the state machine. pre_sign indicates that we need
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// a extra clock to take the absolute value of our inputs. It need only
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// be true for the one clock, and then it must clear itself.
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initial pre_sign = 1'b0;
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always @(posedge i_clk)
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always @(posedge i_clk)
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// if (i_rst) r_busy <= 1'b0;
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// else
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if (i_wr)
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if (i_wr)
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begin
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//
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// Set our values upon an initial command. Here's
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// where we come in and start.
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//
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// r_busy <= 1'b1;
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//
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o_quotient <= 0;
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r_bit <= {(LGBW){1'b1}};
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r_divisor <= { i_denominator, {(BW-1){1'b0}} };
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r_dividend <= i_numerator;
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r_sign <= 1'b0;
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pre_sign <= i_signed;
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pre_sign <= i_signed;
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else
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pre_sign <= 1'b0;
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// As a result of our operation, we need to set the flags. The most
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// difficult of these is the "Z" flag indicating that the result is
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// zero. Here, we'll use the same logic that sets the low-order
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// bit to clear our zero flag, and leave the zero flag set in all
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// other cases. Well ... not quite. If we need to flip the sign of
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// our value, then we can't quite clear the zero flag ... yet.
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always @(posedge i_clk)
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if((r_busy)&&(r_divisor[(2*BW-2):(BW)] == 0)&&(!diff[BW]))
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// If we are busy, the upper bits of our divisor are
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// zero (i.e., we got the shift right), and the top
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// (carry) bit of the difference is zero (no overflow),
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// then we could subtract our divisor from our dividend
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// and hence we add a '1' to the quotient, while setting
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// the zero flag to false.
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r_z <= 1'b0;
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else if ((!r_busy)&&(!r_sign))
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r_z <= 1'b1;
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r_z <= 1'b1;
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end else if (pre_sign)
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// r_dividend
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// This is initially the numerator. On a signed divide, it then becomes
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// the absolute value of the numerator. We'll subtract from this value
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// the divisor shifted as appropriate for every output bit we are
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// looking for--just as with traditional long division.
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always @(posedge i_clk)
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if (pre_sign)
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begin
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begin
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//
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// If we are doing a signed divide, then take the
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// Note that we only come in here, for one clock, if
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// absolute value of the dividend
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// our initial value may have been signed. If we are
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// doing an unsigned divide, we then skip this step.
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//
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r_sign <= ((r_divisor[(2*BW-2)])^(r_dividend[(BW-1)]));
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// Negate our dividend if necessary so that it becomes
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// a magnitude only value
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if (r_dividend[BW-1])
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if (r_dividend[BW-1])
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r_dividend <= -r_dividend;
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r_dividend <= -r_dividend;
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// Do the same with the divisor--rendering it into
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// The begin/end block is important so we don't lose
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// a magnitude only.
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// the fact that on an else we don't do anything.
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end else if((r_busy)&&(r_divisor[(2*BW-2):(BW)]==0)&&(!diff[BW]))
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// This is the condition whereby we set a '1' in our
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// output quotient, and we subtract the (current)
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// divisor from our dividend. (The difference is
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// already kept in the diff vector above.)
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r_dividend <= diff[(BW-1):0];
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else if (!r_busy)
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// Once we are done, and r_busy is no longer high, we'll
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// always accept new values into our dividend. This
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// guarantees that, when i_wr is set, the new value
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// is already set as desired.
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r_dividend <= i_numerator;
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initial r_divisor = 0;
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always @(posedge i_clk)
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if (pre_sign)
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begin
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if (r_divisor[(2*BW-2)])
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if (r_divisor[(2*BW-2)])
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r_divisor[(2*BW-2):(BW-1)] <= -r_divisor[(2*BW-2):(BW-1)];
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r_divisor[(2*BW-2):(BW-1)]
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//
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<= -r_divisor[(2*BW-2):(BW-1)];
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// We only do this stage for a single clock, so go on
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// with the rest of the divide otherwise.
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pre_sign <= 1'b0;
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end else if (r_busy)
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end else if (r_busy)
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begin
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// While the divide is taking place, we examine each bit
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// in turn here.
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//
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r_bit <= r_bit + {(LGBW){1'b1}}; // r_bit = r_bit - 1;
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r_divisor <= { 1'b0, r_divisor[(2*BW-2):1] };
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r_divisor <= { 1'b0, r_divisor[(2*BW-2):1] };
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if (|r_divisor[(2*BW-2):(BW)])
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else
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r_divisor <= { i_denominator, {(BW-1){1'b0}} };
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// r_sign
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// is a flag for our state machine control(s). r_sign will be set to
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// true any time we are doing a signed divide and the result must be
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// negative. In that case, we take a final logic stage at the end of
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// the divide to negate the output. This flag is what tells us we need
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// to do that. r_busy will be true during the divide, then when r_busy
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// goes low, r_sign will be checked, then the idle/reset stage will have
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// been reached. For this reason, we cannot set r_sign unless we are
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// up to something.
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initial r_sign = 1'b0;
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always @(posedge i_clk)
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if (pre_sign)
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r_sign <= ((r_divisor[(2*BW-2)])^(r_dividend[(BW-1)]));
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else if (r_busy)
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r_sign <= (r_sign)&&(!zero_divisor);
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else
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r_sign <= 1'b0;
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always @(posedge i_clk)
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if (r_busy)
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begin
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begin
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end else if (diff[BW])
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o_quotient <= { o_quotient[(BW-2):0], 1'b0 };
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if ((r_divisor[(2*BW-2):(BW)] == 0)&&(!diff[BW]))
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begin
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begin
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//
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o_quotient[0] <= 1'b1;
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// diff = r_dividend - r_divisor[(BW-1):0];
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//
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// If this value was negative, there wasn't
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// enough value in the dividend to support
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// pulling off a bit. We'll move down a bit
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// therefore and try again.
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//
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end else begin
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//
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// Put a '1' into our output accumulator.
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// Subtract the divisor from the dividend,
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// and then move on to the next bit
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//
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r_dividend <= diff[(BW-1):0];
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o_quotient[r_bit[(LGBW-1):0]] <= 1'b1;
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r_z <= 1'b0;
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end
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end
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r_sign <= (r_sign)&&(~zero_divisor);
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end else if (r_sign)
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end else if (r_sign)
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begin
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r_sign <= 1'b0;
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o_quotient <= -o_quotient;
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o_quotient <= -o_quotient;
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end
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else
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o_quotient <= 0;
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// Set Carry on an exact divide
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// Set Carry on an exact divide
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wire w_n;
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// Perhaps nothing uses this, but ... well, I suppose we could remove
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// this logic eventually, just ... not yet.
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always @(posedge i_clk)
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always @(posedge i_clk)
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r_c <= (r_busy)&&((diff == 0)||(r_dividend == 0));
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r_c <= (r_busy)&&((diff == 0)||(r_dividend == 0));
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// The last flag: Negative. This flag is set assuming that the result
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// of the divide was negative (i.e., the high order bit is set). This
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// will also be true of an unsigned divide--if the high order bit is
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// ever set upon completion. Indeed, you might argue that there's no
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// logic involved.
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wire w_n;
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assign w_n = o_quotient[(BW-1)];
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assign w_n = o_quotient[(BW-1)];
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assign o_flags = { 1'b0, w_n, r_c, r_z };
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assign o_flags = { 1'b0, w_n, r_c, r_z };
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endmodule
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endmodule
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