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///////////////////////////////////////////////////////////////////// //// //// //// FPU //// //// Floating Point Unit (Double precision) //// //// //// //// Author: David Lundgren //// //// davidklun@gmail.com //// //// //// ///////////////////////////////////////////////////////////////////// //// //// //// Copyright (C) 2009 David Lundgren //// //// davidklun@gmail.com //// //// //// //// This source file may be used and distributed without //// //// restriction provided that this copyright statement is not //// //// removed from the file and that any derivative work contains //// //// the original copyright notice and the associated disclaimer.//// //// //// //// THIS SOFTWARE IS PROVIDED ``AS IS'' AND WITHOUT ANY //// //// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED //// //// TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS //// //// FOR A PARTICULAR PURPOSE. IN NO EVENT SHALL THE AUTHOR //// //// OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, //// //// INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES //// //// (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE //// //// GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR //// //// BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF //// //// LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT //// //// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT //// //// OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE //// //// POSSIBILITY OF SUCH DAMAGE. //// //// //// ///////////////////////////////////////////////////////////////////// `timescale 1ns / 100ps module fpu_div( clk, rst, enable, opa, opb, sign, mantissa_7, exponent_out); input clk; input rst; input enable; input [63:0] opa; input [63:0] opb; output sign; output [55:0] mantissa_7; output [11:0] exponent_out; parameter preset = 53; reg [53:0] dividend_reg; reg [53:0] divisor_reg; reg enable_reg; reg enable_reg_2; reg enable_reg_a; reg enable_reg_b; reg enable_reg_c; reg enable_reg_d; reg enable_reg_e; reg [5:0] dividend_shift; reg [5:0] dividend_shift_2; reg [5:0] divisor_shift; reg [5:0] divisor_shift_2; reg [5:0] count_out; reg [11:0] exponent_out; wire sign = opa[63] ^ opb[63]; reg [51:0] mantissa_a; reg [51:0] mantissa_b; wire [10:0] expon_a = opa[62:52]; wire [10:0] expon_b = opb[62:52]; wire a_is_norm = |expon_a; wire b_is_norm = |expon_b; wire a_is_zero = !(|opa[62:0]); wire [11:0] exponent_a = { 1'b0, expon_a}; wire [11:0] exponent_b = { 1'b0, expon_b}; reg [51:0] dividend_a; reg [51:0] dividend_a_shifted; wire [52:0] dividend_denorm = { dividend_a_shifted, 1'b0}; wire [53:0] dividend_1 = a_is_norm ? { 2'b01, dividend_a } : { 1'b0, dividend_denorm}; reg [51:0] divisor_b; reg [51:0] divisor_b_shifted; wire [52:0] divisor_denorm = { divisor_b_shifted, 1'b0}; wire [53:0] divisor_1 = b_is_norm ? { 2'b01, divisor_b } : { 1'b0, divisor_denorm}; wire [5:0] count_index = count_out; wire count_nonzero = !(count_index == 0); reg [53:0] quotient; reg [53:0] quotient_out; reg [53:0] remainder; reg [53:0] remainder_out; reg remainder_msb; reg count_nonzero_reg; reg count_nonzero_reg_2; reg [11:0] expon_term; reg expon_uf_1; reg [11:0] expon_uf_term_1; reg [11:0] expon_final_1; reg [11:0] expon_final_2; reg [11:0] expon_shift_a; reg [11:0] expon_shift_b; reg expon_uf_2; reg [11:0] expon_uf_term_2; reg [11:0] expon_uf_term_3; reg expon_uf_gt_maxshift; reg [11:0] expon_uf_term_4; reg [11:0] expon_final_3; reg [11:0] expon_final_4; wire quotient_msb = quotient_out[53]; reg expon_final_4_et0; reg expon_final_4_term; reg [11:0] expon_final_5; reg [51:0] mantissa_1; wire [51:0] mantissa_2 = quotient_out[52:1]; wire [51:0] mantissa_3 = quotient_out[51:0]; wire [51:0] mantissa_4 = quotient_msb ? mantissa_2 : mantissa_3; wire [51:0] mantissa_5 = (expon_final_4 == 1) ? mantissa_2 : mantissa_4; wire [51:0] mantissa_6 = expon_final_4_et0 ? mantissa_1 : mantissa_5; wire [107:0] remainder_a = { quotient_out[53:0] , remainder_msb, remainder_out[52:0]}; reg [6:0] remainder_shift_term; reg [107:0] remainder_b; wire [55:0] remainder_1 = remainder_b[107:52]; wire [55:0] remainder_2 = { quotient_out[0] , remainder_msb, remainder_out[52:0], 1'b0 }; wire [55:0] remainder_3 = { remainder_msb , remainder_out[52:0], 2'b0 }; wire [55:0] remainder_4 = quotient_msb ? remainder_2 : remainder_3; wire [55:0] remainder_5 = (expon_final_4 == 1) ? remainder_2 : remainder_4; wire [55:0] remainder_6 = expon_final_4_et0 ? remainder_1 : remainder_5; wire m_norm = |expon_final_5; wire rem_lsb = |remainder_6[54:0]; wire [55:0] mantissa_7 = { 1'b0, m_norm, mantissa_6, remainder_6[55], rem_lsb }; always @ (posedge clk) begin if (rst) exponent_out <= 0; else exponent_out <= a_is_zero ? 12'b0 : expon_final_5; end always @ (posedge clk) begin if (rst) count_out <= 0; else if (enable_reg) count_out <= preset; else if (count_nonzero) count_out <= count_out - 1; end always @ (posedge clk) begin if (rst) begin quotient_out <= 0; remainder_out <= 0; end else begin quotient_out <= quotient; remainder_out <= remainder; end end always @ (posedge clk) begin if (rst) quotient <= 0; else if (count_nonzero_reg) quotient[count_index] <= !(divisor_reg > dividend_reg); end always @ (posedge clk) begin if (rst) begin remainder <= 0; remainder_msb <= 0; end else if (!count_nonzero_reg & count_nonzero_reg_2) begin remainder <= dividend_reg; remainder_msb <= (divisor_reg > dividend_reg) ? 0 : 1; end end always @ (posedge clk) begin if (rst) begin dividend_reg <= 0; divisor_reg <= 0; end else if (enable_reg_e) begin dividend_reg <= dividend_1; divisor_reg <= divisor_1; end else if (count_nonzero_reg) dividend_reg <= (divisor_reg > dividend_reg) ? dividend_reg << 1 : (dividend_reg - divisor_reg) << 1; // divisor doesn't change for the divide end always @ (posedge clk) begin if (rst) begin expon_term <= 0; expon_uf_1 <= 0; expon_uf_term_1 <= 0; expon_final_1 <= 0; expon_final_2 <= 0; expon_shift_a <= 0; expon_shift_b <= 0; expon_uf_2 <= 0; expon_uf_term_2 <= 0; expon_uf_term_3 <= 0; expon_uf_gt_maxshift <= 0; expon_uf_term_4 <= 0; expon_final_3 <= 0; expon_final_4 <= 0; expon_final_4_et0 <= 0; expon_final_4_term <= 0; expon_final_5 <= 0; mantissa_a <= 0; mantissa_b <= 0; dividend_a <= 0; divisor_b <= 0; dividend_shift_2 <= 0; divisor_shift_2 <= 0; remainder_shift_term <= 0; remainder_b <= 0; dividend_a_shifted <= 0; divisor_b_shifted <= 0; mantissa_1 <= 0; end else if (enable_reg_2) begin expon_term <= exponent_a + 1023; expon_uf_1 <= exponent_b > expon_term; expon_uf_term_1 <= expon_uf_1 ? (exponent_b - expon_term) : 0; expon_final_1 <= expon_term - exponent_b; expon_final_2 <= expon_uf_1 ? 0 : expon_final_1; expon_shift_a <= a_is_norm ? 0 : dividend_shift_2; expon_shift_b <= b_is_norm ? 0 : divisor_shift_2; expon_uf_2 <= expon_shift_a > expon_final_2; expon_uf_term_2 <= expon_uf_2 ? (expon_shift_a - expon_final_2) : 0; expon_uf_term_3 <= expon_uf_term_2 + expon_uf_term_1; expon_uf_gt_maxshift <= (expon_uf_term_3 > 51); expon_uf_term_4 <= expon_uf_gt_maxshift ? 52 : expon_uf_term_3; expon_final_3 <= expon_uf_2 ? 0 : (expon_final_2 - expon_shift_a); expon_final_4 <= expon_final_3 + expon_shift_b; expon_final_4_et0 <= (expon_final_4 == 0); expon_final_4_term <= expon_final_4_et0 ? 0 : 1; expon_final_5 <= quotient_msb ? expon_final_4 : expon_final_4 - expon_final_4_term; mantissa_a <= opa[51:0]; mantissa_b <= opb[51:0]; dividend_a <= mantissa_a; divisor_b <= mantissa_b; dividend_shift_2 <= dividend_shift; divisor_shift_2 <= divisor_shift; remainder_shift_term <= 52 - expon_uf_term_4; remainder_b <= remainder_a << remainder_shift_term; dividend_a_shifted <= dividend_a << dividend_shift_2; divisor_b_shifted <= divisor_b << divisor_shift_2; mantissa_1 <= quotient_out[53:2] >> expon_uf_term_4; end end always @ (posedge clk) begin if (rst) begin count_nonzero_reg <= 0; count_nonzero_reg_2 <= 0; enable_reg <= 0; enable_reg_a <= 0; enable_reg_b <= 0; enable_reg_c <= 0; enable_reg_d <= 0; enable_reg_e <= 0; end else begin count_nonzero_reg <= count_nonzero; count_nonzero_reg_2 <= count_nonzero_reg; enable_reg <= enable_reg_e; enable_reg_a <= enable; enable_reg_b <= enable_reg_a; enable_reg_c <= enable_reg_b; enable_reg_d <= enable_reg_c; enable_reg_e <= enable_reg_d; end end always @ (posedge clk) begin if (rst) enable_reg_2 <= 0; else if (enable) enable_reg_2 <= 1; end always @(dividend_a) casex(dividend_a) 52'b1???????????????????????????????????????????????????: dividend_shift <= 0; 52'b01??????????????????????????????????????????????????: dividend_shift <= 1; 52'b001?????????????????????????????????????????????????: dividend_shift <= 2; 52'b0001????????????????????????????????????????????????: dividend_shift <= 3; 52'b00001???????????????????????????????????????????????: dividend_shift <= 4; 52'b000001??????????????????????????????????????????????: dividend_shift <= 5; 52'b0000001?????????????????????????????????????????????: dividend_shift <= 6; 52'b00000001????????????????????????????????????????????: dividend_shift <= 7; 52'b000000001???????????????????????????????????????????: dividend_shift <= 8; 52'b0000000001??????????????????????????????????????????: dividend_shift <= 9; 52'b00000000001?????????????????????????????????????????: dividend_shift <= 10; 52'b000000000001????????????????????????????????????????: dividend_shift <= 11; 52'b0000000000001???????????????????????????????????????: dividend_shift <= 12; 52'b00000000000001??????????????????????????????????????: dividend_shift <= 13; 52'b000000000000001?????????????????????????????????????: dividend_shift <= 14; 52'b0000000000000001????????????????????????????????????: dividend_shift <= 15; 52'b00000000000000001???????????????????????????????????: dividend_shift <= 16; 52'b000000000000000001??????????????????????????????????: dividend_shift <= 17; 52'b0000000000000000001?????????????????????????????????: dividend_shift <= 18; 52'b00000000000000000001????????????????????????????????: dividend_shift <= 19; 52'b000000000000000000001???????????????????????????????: dividend_shift <= 20; 52'b0000000000000000000001??????????????????????????????: dividend_shift <= 21; 52'b00000000000000000000001?????????????????????????????: dividend_shift <= 22; 52'b000000000000000000000001????????????????????????????: dividend_shift <= 23; 52'b0000000000000000000000001???????????????????????????: dividend_shift <= 24; 52'b00000000000000000000000001??????????????????????????: dividend_shift <= 25; 52'b000000000000000000000000001?????????????????????????: dividend_shift <= 26; 52'b0000000000000000000000000001????????????????????????: dividend_shift <= 27; 52'b00000000000000000000000000001???????????????????????: dividend_shift <= 28; 52'b000000000000000000000000000001??????????????????????: dividend_shift <= 29; 52'b0000000000000000000000000000001?????????????????????: dividend_shift <= 30; 52'b00000000000000000000000000000001????????????????????: dividend_shift <= 31; 52'b000000000000000000000000000000001???????????????????: dividend_shift <= 32; 52'b0000000000000000000000000000000001??????????????????: dividend_shift <= 33; 52'b00000000000000000000000000000000001?????????????????: dividend_shift <= 34; 52'b000000000000000000000000000000000001????????????????: dividend_shift <= 35; 52'b0000000000000000000000000000000000001???????????????: dividend_shift <= 36; 52'b00000000000000000000000000000000000001??????????????: dividend_shift <= 37; 52'b000000000000000000000000000000000000001?????????????: dividend_shift <= 38; 52'b0000000000000000000000000000000000000001????????????: dividend_shift <= 39; 52'b00000000000000000000000000000000000000001???????????: dividend_shift <= 40; 52'b000000000000000000000000000000000000000001??????????: dividend_shift <= 41; 52'b0000000000000000000000000000000000000000001?????????: dividend_shift <= 42; 52'b00000000000000000000000000000000000000000001????????: dividend_shift <= 43; 52'b000000000000000000000000000000000000000000001???????: dividend_shift <= 44; 52'b0000000000000000000000000000000000000000000001??????: dividend_shift <= 45; 52'b00000000000000000000000000000000000000000000001?????: dividend_shift <= 46; 52'b000000000000000000000000000000000000000000000001????: dividend_shift <= 47; 52'b0000000000000000000000000000000000000000000000001???: dividend_shift <= 48; 52'b00000000000000000000000000000000000000000000000001??: dividend_shift <= 49; 52'b000000000000000000000000000000000000000000000000001?: dividend_shift <= 50; 52'b0000000000000000000000000000000000000000000000000001: dividend_shift <= 51; 52'b0000000000000000000000000000000000000000000000000000: dividend_shift <= 52; endcase always @(divisor_b) casex(divisor_b) 52'b1???????????????????????????????????????????????????: divisor_shift <= 0; 52'b01??????????????????????????????????????????????????: divisor_shift <= 1; 52'b001?????????????????????????????????????????????????: divisor_shift <= 2; 52'b0001????????????????????????????????????????????????: divisor_shift <= 3; 52'b00001???????????????????????????????????????????????: divisor_shift <= 4; 52'b000001??????????????????????????????????????????????: divisor_shift <= 5; 52'b0000001?????????????????????????????????????????????: divisor_shift <= 6; 52'b00000001????????????????????????????????????????????: divisor_shift <= 7; 52'b000000001???????????????????????????????????????????: divisor_shift <= 8; 52'b0000000001??????????????????????????????????????????: divisor_shift <= 9; 52'b00000000001?????????????????????????????????????????: divisor_shift <= 10; 52'b000000000001????????????????????????????????????????: divisor_shift <= 11; 52'b0000000000001???????????????????????????????????????: divisor_shift <= 12; 52'b00000000000001??????????????????????????????????????: divisor_shift <= 13; 52'b000000000000001?????????????????????????????????????: divisor_shift <= 14; 52'b0000000000000001????????????????????????????????????: divisor_shift <= 15; 52'b00000000000000001???????????????????????????????????: divisor_shift <= 16; 52'b000000000000000001??????????????????????????????????: divisor_shift <= 17; 52'b0000000000000000001?????????????????????????????????: divisor_shift <= 18; 52'b00000000000000000001????????????????????????????????: divisor_shift <= 19; 52'b000000000000000000001???????????????????????????????: divisor_shift <= 20; 52'b0000000000000000000001??????????????????????????????: divisor_shift <= 21; 52'b00000000000000000000001?????????????????????????????: divisor_shift <= 22; 52'b000000000000000000000001????????????????????????????: divisor_shift <= 23; 52'b0000000000000000000000001???????????????????????????: divisor_shift <= 24; 52'b00000000000000000000000001??????????????????????????: divisor_shift <= 25; 52'b000000000000000000000000001?????????????????????????: divisor_shift <= 26; 52'b0000000000000000000000000001????????????????????????: divisor_shift <= 27; 52'b00000000000000000000000000001???????????????????????: divisor_shift <= 28; 52'b000000000000000000000000000001??????????????????????: divisor_shift <= 29; 52'b0000000000000000000000000000001?????????????????????: divisor_shift <= 30; 52'b00000000000000000000000000000001????????????????????: divisor_shift <= 31; 52'b000000000000000000000000000000001???????????????????: divisor_shift <= 32; 52'b0000000000000000000000000000000001??????????????????: divisor_shift <= 33; 52'b00000000000000000000000000000000001?????????????????: divisor_shift <= 34; 52'b000000000000000000000000000000000001????????????????: divisor_shift <= 35; 52'b0000000000000000000000000000000000001???????????????: divisor_shift <= 36; 52'b00000000000000000000000000000000000001??????????????: divisor_shift <= 37; 52'b000000000000000000000000000000000000001?????????????: divisor_shift <= 38; 52'b0000000000000000000000000000000000000001????????????: divisor_shift <= 39; 52'b00000000000000000000000000000000000000001???????????: divisor_shift <= 40; 52'b000000000000000000000000000000000000000001??????????: divisor_shift <= 41; 52'b0000000000000000000000000000000000000000001?????????: divisor_shift <= 42; 52'b00000000000000000000000000000000000000000001????????: divisor_shift <= 43; 52'b000000000000000000000000000000000000000000001???????: divisor_shift <= 44; 52'b0000000000000000000000000000000000000000000001??????: divisor_shift <= 45; 52'b00000000000000000000000000000000000000000000001?????: divisor_shift <= 46; 52'b000000000000000000000000000000000000000000000001????: divisor_shift <= 47; 52'b0000000000000000000000000000000000000000000000001???: divisor_shift <= 48; 52'b00000000000000000000000000000000000000000000000001??: divisor_shift <= 49; 52'b000000000000000000000000000000000000000000000000001?: divisor_shift <= 50; 52'b0000000000000000000000000000000000000000000000000001: divisor_shift <= 51; 52'b0000000000000000000000000000000000000000000000000000: divisor_shift <= 52; endcase endmodule