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@@ -54,28 +54,25 @@ module VX_fpu_cvt import VX_fpu_pkg::*; #(
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localparam EXP_BITS = 8;
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localparam EXP_BIAS = 2**(EXP_BITS-1)-1;
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localparam logic [EXP_BITS-1:0] QNAN_EXPONENT = 2**EXP_BITS-1;
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localparam logic [MAN_BITS-1:0] QNAN_MANTISSA = 2**(MAN_BITS-1);
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// Use 32-bit integer
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localparam MAX_INT_WIDTH = 32;
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localparam INT_WIDTH = 32;
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// The internal mantissa includes normal bit or an entire integer
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localparam INT_MAN_WIDTH = `MAX(MAN_BITS + 1, MAX_INT_WIDTH);
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localparam INT_MAN_WIDTH = `MAX(MAN_BITS + 1, INT_WIDTH);
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// The lower 2p+3 bits of the internal FMA result will be needed for leading-zero detection
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localparam LZC_RESULT_WIDTH = `CLOG2(INT_MAN_WIDTH);
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// The internal exponent must be able to represent the smallest denormal input value as signed
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// or the number of bits in an integer
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localparam INT_EXP_WIDTH = `MAX(`CLOG2(MAX_INT_WIDTH), `MAX(EXP_BITS, `CLOG2(EXP_BIAS + MAN_BITS))) + 1;
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localparam INT_EXP_WIDTH = `MAX(`CLOG2(INT_WIDTH), `MAX(EXP_BITS, `CLOG2(EXP_BIAS + MAN_BITS))) + 1;
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// shift amount for denormalization
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localparam SHAMT_BITS = `CLOG2(INT_MAN_WIDTH+1);
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localparam FMT_SHIFT_COMPENSATION = INT_MAN_WIDTH - 1 - MAN_BITS;
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localparam NUM_FP_STICKY = 2 * INT_MAN_WIDTH - MAN_BITS - 1; // removed mantissa, 1. and R
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localparam NUM_INT_STICKY = 2 * INT_MAN_WIDTH - MAX_INT_WIDTH; // removed int and R
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localparam NUM_INT_STICKY = 2 * INT_MAN_WIDTH - INT_WIDTH; // removed int and R
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// Input processing
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@@ -86,8 +83,8 @@ module VX_fpu_cvt import VX_fpu_pkg::*; #(
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.EXP_BITS (EXP_BITS),
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.MAN_BITS (MAN_BITS)
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) fp_class (
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.exp_i (dataa[i][30:23]),
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.man_i (dataa[i][22:0]),
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.exp_i (dataa[i][INT_WIDTH-2:MAN_BITS]),
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.man_i (dataa[i][MAN_BITS-1:0]),
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.clss_o (fclass[i])
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);
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end
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@@ -97,15 +94,13 @@ module VX_fpu_cvt import VX_fpu_pkg::*; #(
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wire [NUM_LANES-1:0] input_sign;
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for (genvar i = 0; i < NUM_LANES; ++i) begin
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wire [INT_MAN_WIDTH-1:0] int_mantissa;
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wire [INT_MAN_WIDTH-1:0] fmt_mantissa;
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wire fmt_sign = dataa[i][31];
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wire int_sign = dataa[i][31] && is_signed;
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assign int_mantissa = int_sign ? (-dataa[i]) : dataa[i];
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assign fmt_mantissa = INT_MAN_WIDTH'({fclass[i].is_normal, dataa[i][MAN_BITS-1:0]});
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wire i2f_sign = dataa[i][INT_WIDTH-1];
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wire f2i_sign = dataa[i][INT_WIDTH-1] && is_signed;
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wire [INT_MAN_WIDTH-1:0] f2i_mantissa = f2i_sign ? (-dataa[i]) : dataa[i];
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wire [INT_MAN_WIDTH-1:0] i2f_mantissa = INT_MAN_WIDTH'({fclass[i].is_normal, dataa[i][MAN_BITS-1:0]});
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assign input_exp[i] = {1'b0, dataa[i][MAN_BITS +: EXP_BITS]} + INT_EXP_WIDTH'({1'b0, fclass[i].is_subnormal});
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assign input_mant[i] = is_itof ? int_mantissa : fmt_mantissa;
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assign input_sign[i] = is_itof ? int_sign : fmt_sign;
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assign input_mant[i] = is_itof ? f2i_mantissa : i2f_mantissa;
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assign input_sign[i] = is_itof ? f2i_sign : i2f_sign;
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end
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// Pipeline stage0
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@@ -159,9 +154,9 @@ module VX_fpu_cvt import VX_fpu_pkg::*; #(
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assign input_mant_n_s0[i] = encoded_mant_s0[i] << renorm_shamt_s0[i];
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// Unbias exponent and compensate for shift
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wire [INT_EXP_WIDTH-1:0] fp_input_exp_s0 = fmt_exponent_s0[i] + INT_EXP_WIDTH'(FMT_SHIFT_COMPENSATION - EXP_BIAS) - INT_EXP_WIDTH'({1'b0, renorm_shamt_s0[i]});
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wire [INT_EXP_WIDTH-1:0] int_input_exp_s0 = INT_EXP_WIDTH'(INT_MAN_WIDTH-1) - INT_EXP_WIDTH'({1'b0, renorm_shamt_s0[i]});
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assign input_exp_n_s0[i] = is_itof_s0 ? int_input_exp_s0 : fp_input_exp_s0;
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wire [INT_EXP_WIDTH-1:0] i2f_input_exp_s0 = fmt_exponent_s0[i] + INT_EXP_WIDTH'(FMT_SHIFT_COMPENSATION - EXP_BIAS) - INT_EXP_WIDTH'({1'b0, renorm_shamt_s0[i]});
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wire [INT_EXP_WIDTH-1:0] f2i_input_exp_s0 = INT_EXP_WIDTH'(INT_MAN_WIDTH-1) - INT_EXP_WIDTH'({1'b0, renorm_shamt_s0[i]});
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assign input_exp_n_s0[i] = is_itof_s0 ? f2i_input_exp_s0 : i2f_input_exp_s0;
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end
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// Pipeline stage1
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@@ -196,48 +191,29 @@ module VX_fpu_cvt import VX_fpu_pkg::*; #(
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wire [NUM_LANES-1:0] of_before_round_s1;
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for (genvar i = 0; i < NUM_LANES; ++i) begin
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reg [2*INT_MAN_WIDTH:0] preshift_mant_s1; // mantissa before final shift
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reg [SHAMT_BITS-1:0] denorm_shamt_s1; // shift amount for denormalization
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reg [INT_EXP_WIDTH-1:0] final_exp_tmp_s1; // after eventual adjustments
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reg of_before_round_tmp_s1;
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always @(*) begin
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final_exp_tmp_s1 = input_exp_s1[i] + INT_EXP_WIDTH'(EXP_BIAS); // take exponent as is, only look at lower bits
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preshift_mant_s1 = {input_mant_s1[i], 33'b0};
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denorm_shamt_s1 = '0;
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of_before_round_tmp_s1 = 1'b0;
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if (is_itof_s1) begin
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if ($signed(input_exp_s1[i]) >= INT_EXP_WIDTH'($signed(2**EXP_BITS-1-EXP_BIAS))) begin
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// Overflow or infinities (for proper rounding)
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final_exp_tmp_s1 = (2**EXP_BITS-2); // largest normal value
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preshift_mant_s1 = ~0; // largest normal value and RS bits set
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of_before_round_tmp_s1 = 1'b1;
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end else if ($signed(input_exp_s1[i]) < INT_EXP_WIDTH'($signed(-MAN_BITS-EXP_BIAS))) begin
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// Limit the shift to retain sticky bits
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final_exp_tmp_s1 = '0; // denormal result
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denorm_shamt_s1 = (2 + MAN_BITS); // to sticky
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end else if ($signed(input_exp_s1[i]) < INT_EXP_WIDTH'($signed(1-EXP_BIAS))) begin
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// Denormalize underflowing values
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final_exp_tmp_s1 = '0; // denormal result
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denorm_shamt_s1 = SHAMT_BITS'(1-EXP_BIAS) - SHAMT_BITS'(input_exp_s1[i]); // adjust right shifting
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end
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end else begin
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if ($signed(input_exp_s1[i]) >= $signed(INT_EXP_WIDTH'(MAX_INT_WIDTH-1) + INT_EXP_WIDTH'(unsigned_s1))) begin
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// overflow: when converting to unsigned the range is larger by one
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if (!is_itof_s1) begin
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if ($signed(input_exp_s1[i]) >= $signed(INT_EXP_WIDTH'(INT_WIDTH-1) + INT_EXP_WIDTH'(unsigned_s1))) begin
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// overflow
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of_before_round_tmp_s1 = 1'b1;
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end else if ($signed(input_exp_s1[i]) < INT_EXP_WIDTH'($signed(-1))) begin
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// underflow
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denorm_shamt_s1 = MAX_INT_WIDTH+1; // all bits go to the sticky
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denorm_shamt_s1 = INT_WIDTH+1; // all bits go to the sticky
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end else begin
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// By default right shift mantissa to be an integer
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denorm_shamt_s1 = SHAMT_BITS'(MAX_INT_WIDTH-1) - SHAMT_BITS'(input_exp_s1[i]);
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denorm_shamt_s1 = SHAMT_BITS'(INT_WIDTH-1) - SHAMT_BITS'(input_exp_s1[i]);
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end
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end
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end
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assign destination_mant_s1[i] = preshift_mant_s1 >> denorm_shamt_s1;
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assign final_exp_s1[i] = final_exp_tmp_s1;
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assign destination_mant_s1[i] = {input_mant_s1[i], 33'b0} >> denorm_shamt_s1;
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assign final_exp_s1[i] = input_exp_s1[i] + INT_EXP_WIDTH'(EXP_BIAS);
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assign of_before_round_s1[i] = of_before_round_tmp_s1;
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end
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@@ -268,32 +244,32 @@ module VX_fpu_cvt import VX_fpu_pkg::*; #(
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);
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wire [NUM_LANES-1:0] rounded_sign_s2;
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wire [NUM_LANES-1:0][31:0] rounded_abs_s2; // absolute value of result after rounding
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wire [NUM_LANES-1:0] int_round_has_sticky_s2;
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wire [NUM_LANES-1:0] fp_round_has_sticky_s2;
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wire [NUM_LANES-1:0][INT_WIDTH-1:0] rounded_abs_s2; // absolute value of result after rounding
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wire [NUM_LANES-1:0] f2i_round_has_sticky_s2;
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wire [NUM_LANES-1:0] i2f_round_has_sticky_s2;
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// Rouding and classification
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for (genvar i = 0; i < NUM_LANES; ++i) begin
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wire [MAN_BITS-1:0] final_mant_s2; // mantissa after adjustments
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wire [MAX_INT_WIDTH-1:0] final_int_s2; // integer shifted in position
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wire [INT_WIDTH-1:0] final_int_s2; // integer shifted in position
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wire [1:0] round_sticky_bits_s2;
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wire [31:0] fmt_pre_round_abs_s2;
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wire [31:0] pre_round_abs_s2;
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wire [1:0] int_round_sticky_bits_s2, fp_round_sticky_bits_s2;
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wire [INT_WIDTH-1:0] fmt_pre_round_abs_s2;
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wire [INT_WIDTH-1:0] pre_round_abs_s2;
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wire [1:0] f2i_round_sticky_bits_s2, i2f_round_sticky_bits_s2;
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// Extract final mantissa and round bit, discard the normal bit (for FP)
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assign {final_mant_s2, fp_round_sticky_bits_s2[1]} = destination_mant_s2[i][2*INT_MAN_WIDTH-1 : 2*INT_MAN_WIDTH-1 - (MAN_BITS+1) + 1];
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assign {final_int_s2, int_round_sticky_bits_s2[1]} = destination_mant_s2[i][2*INT_MAN_WIDTH : 2*INT_MAN_WIDTH - (MAX_INT_WIDTH+1) + 1];
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assign {final_mant_s2, i2f_round_sticky_bits_s2[1]} = destination_mant_s2[i][2*INT_MAN_WIDTH-1 : 2*INT_MAN_WIDTH-1 - (MAN_BITS+1) + 1];
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assign {final_int_s2, f2i_round_sticky_bits_s2[1]} = destination_mant_s2[i][2*INT_MAN_WIDTH : 2*INT_MAN_WIDTH - (INT_WIDTH+1) + 1];
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// Collapse sticky bits
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assign fp_round_sticky_bits_s2[0] = (| destination_mant_s2[i][NUM_FP_STICKY-1:0]);
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assign int_round_sticky_bits_s2[0] = (| destination_mant_s2[i][NUM_INT_STICKY-1:0]);
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assign fp_round_has_sticky_s2[i] = (| fp_round_sticky_bits_s2);
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assign int_round_has_sticky_s2[i] = (| int_round_sticky_bits_s2);
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assign i2f_round_sticky_bits_s2[0] = (| destination_mant_s2[i][NUM_FP_STICKY-1:0]);
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assign f2i_round_sticky_bits_s2[0] = (| destination_mant_s2[i][NUM_INT_STICKY-1:0]);
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assign i2f_round_has_sticky_s2[i] = (| i2f_round_sticky_bits_s2);
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assign f2i_round_has_sticky_s2[i] = (| f2i_round_sticky_bits_s2);
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// select RS bits for destination operation
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assign round_sticky_bits_s2 = is_itof_s2 ? fp_round_sticky_bits_s2 : int_round_sticky_bits_s2;
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assign round_sticky_bits_s2 = is_itof_s2 ? i2f_round_sticky_bits_s2 : f2i_round_sticky_bits_s2;
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// Pack exponent and mantissa into proper rounding form
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assign fmt_pre_round_abs_s2 = {1'b0, final_exp_s2[i][EXP_BITS-1:0], final_mant_s2[MAN_BITS-1:0]};
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@@ -327,10 +303,10 @@ module VX_fpu_cvt import VX_fpu_pkg::*; #(
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wire [NUM_LANES-1:0] mant_is_zero_s3;
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wire [NUM_LANES-1:0] input_sign_s3;
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wire [NUM_LANES-1:0] rounded_sign_s3;
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wire [NUM_LANES-1:0][31:0] rounded_abs_s3;
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wire [NUM_LANES-1:0][INT_WIDTH-1:0] rounded_abs_s3;
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wire [NUM_LANES-1:0] of_before_round_s3;
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wire [NUM_LANES-1:0] int_round_has_sticky_s3;
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wire [NUM_LANES-1:0] fp_round_has_sticky_s3;
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wire [NUM_LANES-1:0] f2i_round_has_sticky_s3;
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wire [NUM_LANES-1:0] i2f_round_has_sticky_s3;
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VX_pipe_register #(
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.DATAW (1 + NUM_LANES + TAGW + 1 + 1 + NUM_LANES * ($bits(fclass_t) + 1 + 1 + 32 + 1 + 1 + 1 + 1)),
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@@ -339,105 +315,68 @@ module VX_fpu_cvt import VX_fpu_pkg::*; #(
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.clk (clk),
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.reset (reset),
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.enable (~stall),
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.data_in ({valid_in_s2, lane_mask_s2, tag_in_s2, is_itof_s2, unsigned_s2, fclass_s2, mant_is_zero_s2, input_sign_s2, rounded_abs_s2, rounded_sign_s2, of_before_round_s2, int_round_has_sticky_s2, fp_round_has_sticky_s2}),
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.data_out ({valid_in_s3, lane_mask_s3, tag_in_s3, is_itof_s3, unsigned_s3, fclass_s3, mant_is_zero_s3, input_sign_s3, rounded_abs_s3, rounded_sign_s3, of_before_round_s3, int_round_has_sticky_s3, fp_round_has_sticky_s3})
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.data_in ({valid_in_s2, lane_mask_s2, tag_in_s2, is_itof_s2, unsigned_s2, fclass_s2, mant_is_zero_s2, input_sign_s2, rounded_abs_s2, rounded_sign_s2, of_before_round_s2, f2i_round_has_sticky_s2, i2f_round_has_sticky_s2}),
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.data_out ({valid_in_s3, lane_mask_s3, tag_in_s3, is_itof_s3, unsigned_s3, fclass_s3, mant_is_zero_s3, input_sign_s3, rounded_abs_s3, rounded_sign_s3, of_before_round_s3, f2i_round_has_sticky_s3, i2f_round_has_sticky_s3})
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);
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wire [NUM_LANES-1:0] of_after_round_s3;
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wire [NUM_LANES-1:0] uf_after_round_s3;
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wire [NUM_LANES-1:0][31:0] fmt_result_s3;
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wire [NUM_LANES-1:0][31:0] rounded_int_res_s3; // after possible inversion
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wire [NUM_LANES-1:0][INT_WIDTH-1:0] fmt_result_s3;
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wire [NUM_LANES-1:0][INT_WIDTH-1:0] rounded_int_res_s3; // after possible inversion
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wire [NUM_LANES-1:0] rounded_int_res_zero_s3; // after rounding
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for (genvar i = 0; i < NUM_LANES; ++i) begin
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// Assemble regular result, nan box short ones. Int zeroes need to be detected
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assign fmt_result_s3[i] = (is_itof_s3 & mant_is_zero_s3[i]) ? 0 : {rounded_sign_s3[i], rounded_abs_s3[i][EXP_BITS+MAN_BITS-1:0]};
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// Classification after rounding select by destination format
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assign uf_after_round_s3[i] = (rounded_abs_s3[i][EXP_BITS+MAN_BITS-1:MAN_BITS] == 0); // denormal
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assign of_after_round_s3[i] = (rounded_abs_s3[i][EXP_BITS+MAN_BITS-1:MAN_BITS] == ~0); // inf exp.
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assign fmt_result_s3[i] = mant_is_zero_s3[i] ? 0 : {rounded_sign_s3[i], rounded_abs_s3[i][EXP_BITS+MAN_BITS-1:0]};
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// Negative integer result needs to be brought into two's complement
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assign rounded_int_res_s3[i] = rounded_sign_s3[i] ? (-rounded_abs_s3[i]) : rounded_abs_s3[i];
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assign rounded_int_res_zero_s3[i] = (rounded_int_res_s3[i] == 0);
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end
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// FP Special case handling
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// F2I Special case handling
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wire [NUM_LANES-1:0][31:0] fp_special_result_s3;
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fflags_t [NUM_LANES-1:0] fp_special_status_s3;
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wire [NUM_LANES-1:0] fp_result_is_special_s3;
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for (genvar i = 0; i < NUM_LANES; ++i) begin
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// Detect special case from source format, I2F casts don't produce a special result
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assign fp_result_is_special_s3[i] = ~is_itof_s3 & (fclass_s3[i].is_zero | fclass_s3[i].is_nan);
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// Signalling input NaNs raise invalid flag, otherwise no flags set
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assign fp_special_status_s3[i] = fclass_s3[i].is_signaling ? {1'b1, 4'h0} : 5'h0; // invalid operation
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// Assemble result according to destination format
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assign fp_special_result_s3[i] = fclass_s3[i].is_zero ? (32'(input_sign_s3) << 31) // signed zero
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: {1'b0, QNAN_EXPONENT, QNAN_MANTISSA}; // qNaN
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end
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// INT Special case handling
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reg [NUM_LANES-1:0][31:0] int_special_result_s3;
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fflags_t [NUM_LANES-1:0] int_special_status_s3;
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wire [NUM_LANES-1:0] int_result_is_special_s3;
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reg [NUM_LANES-1:0][INT_WIDTH-1:0] f2i_special_result_s3;
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fflags_t [NUM_LANES-1:0] f2i_special_status_s3;
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wire [NUM_LANES-1:0] f2i_result_is_special_s3;
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for (genvar i = 0; i < NUM_LANES; ++i) begin
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// Assemble result according to destination format
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always @(*) begin
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if (input_sign_s3[i] && !fclass_s3[i].is_nan) begin
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int_special_result_s3[i][30:0] = '0; // alone yields 2**(31)-1
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int_special_result_s3[i][31] = ~unsigned_s3; // for unsigned casts yields 2**31
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f2i_special_result_s3[i][INT_WIDTH-2:0] = '0; // alone yields 2**(31)-1
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f2i_special_result_s3[i][INT_WIDTH-1] = ~unsigned_s3; // for unsigned casts yields 2**31
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end else begin
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int_special_result_s3[i][30:0] = 2**(31) - 1; // alone yields 2**(31)-1
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int_special_result_s3[i][31] = unsigned_s3; // for unsigned casts yields 2**31
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f2i_special_result_s3[i][INT_WIDTH-2:0] = 2**(INT_WIDTH-1) - 1; // alone yields 2**(31)-1
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f2i_special_result_s3[i][INT_WIDTH-1] = unsigned_s3; // for unsigned casts yields 2**31
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end
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end
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// Detect special case from source format (inf, nan, overflow, nan-boxing or negative unsigned)
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assign int_result_is_special_s3[i] = fclass_s3[i].is_nan
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assign f2i_result_is_special_s3[i] = fclass_s3[i].is_nan
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| fclass_s3[i].is_inf
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| of_before_round_s3[i]
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| (input_sign_s3[i] & unsigned_s3 & ~rounded_int_res_zero_s3[i]);
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// All integer special cases are invalid
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assign int_special_status_s3[i] = {1'b1, 4'h0};
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assign f2i_special_status_s3[i] = {1'b1, 4'h0};
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end
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// Result selection and Output handshake
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fflags_t [NUM_LANES-1:0] tmp_fflags_s3;
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wire [NUM_LANES-1:0][31:0] tmp_result_s3;
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wire [NUM_LANES-1:0][INT_WIDTH-1:0] tmp_result_s3;
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for (genvar i = 0; i < NUM_LANES; ++i) begin
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fflags_t fp_regular_status_s3, int_regular_status_s3;
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fflags_t fp_status_s3, int_status_s3;
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wire [31:0] fp_result_s3, int_result_s3;
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fflags_t i2f_regular_status_s3 = i2f_round_has_sticky_s3[i] ? 5'h1 : 5'h0;
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fflags_t f2i_regular_status_s3 = f2i_round_has_sticky_s3[i] ? 5'h1 : 5'h0;
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wire inexact_s3 = is_itof_s3 ? fp_round_has_sticky_s3[i] // overflow is invalid in i2f;
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|
: (fp_round_has_sticky_s3[i] || (~fclass_s3[i].is_inf && (of_before_round_s3[i] || of_after_round_s3[i])));
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|
|
fflags_t i2f_status_s3 = i2f_regular_status_s3;
|
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|
|
fflags_t f2i_status_s3 = f2i_result_is_special_s3[i] ? f2i_special_status_s3[i] : f2i_regular_status_s3;
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|
assign fp_regular_status_s3.NV = is_itof_s3 & (of_before_round_s3[i] | of_after_round_s3[i]); // overflow is invalid for I2F casts
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|
|
assign fp_regular_status_s3.DZ = 1'b0; // no divisions
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|
|
assign fp_regular_status_s3.OF = ~is_itof_s3 & (~fclass_s3[i].is_inf & (of_before_round_s3[i] | of_after_round_s3[i])); // inf casts no OF
|
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|
|
assign fp_regular_status_s3.UF = uf_after_round_s3[i] & inexact_s3;
|
|
|
|
|
assign fp_regular_status_s3.NX = inexact_s3;
|
|
|
|
|
wire [INT_WIDTH-1:0] i2f_result_s3 = fmt_result_s3[i];
|
|
|
|
|
wire [INT_WIDTH-1:0] f2i_result_s3 = f2i_result_is_special_s3[i] ? f2i_special_result_s3[i] : rounded_int_res_s3[i];
|
|
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|
|
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|
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|
|
assign int_regular_status_s3 = int_round_has_sticky_s3[i] ? {4'h0, 1'b1} : 5'h0;
|
|
|
|
|
|
|
|
|
|
assign fp_result_s3 = fp_result_is_special_s3[i] ? fp_special_result_s3[i] : fmt_result_s3[i];
|
|
|
|
|
assign int_result_s3 = int_result_is_special_s3[i] ? int_special_result_s3[i] : rounded_int_res_s3[i];
|
|
|
|
|
|
|
|
|
|
assign fp_status_s3 = fp_result_is_special_s3[i] ? fp_special_status_s3[i] : fp_regular_status_s3;
|
|
|
|
|
assign int_status_s3 = int_result_is_special_s3[i] ? int_special_status_s3[i] : int_regular_status_s3;
|
|
|
|
|
|
|
|
|
|
// Select output depending on special case detection
|
|
|
|
|
assign tmp_result_s3[i] = is_itof_s3 ? fp_result_s3 : int_result_s3;
|
|
|
|
|
assign tmp_fflags_s3[i] = is_itof_s3 ? fp_status_s3 : int_status_s3;
|
|
|
|
|
assign tmp_result_s3[i] = is_itof_s3 ? i2f_result_s3 : f2i_result_s3;
|
|
|
|
|
assign tmp_fflags_s3[i] = is_itof_s3 ? i2f_status_s3 : f2i_status_s3;
|
|
|
|
|
end
|
|
|
|
|
|
|
|
|
|
assign stall = ~ready_out && valid_out;
|
|
|
|
|
@@ -457,7 +396,6 @@ module VX_fpu_cvt import VX_fpu_pkg::*; #(
|
|
|
|
|
);
|
|
|
|
|
|
|
|
|
|
assign ready_in = ~stall;
|
|
|
|
|
|
|
|
|
|
assign has_fflags = 1'b1;
|
|
|
|
|
|
|
|
|
|
endmodule
|
|
|
|
|
|