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Additional divider block replacing synopsys modules
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// Copyright (c) 2024, Saligane's Group at University of Michigan and Google Research | ||
// | ||
// Licensed under the Apache License, Version 2.0 (the "License"); | ||
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// you may not use this file except in compliance with the License. | ||
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// You may obtain a copy of the License at | ||
// | ||
// http://www.apache.org/licenses/LICENSE-2.0 | ||
// | ||
// Unless required by applicable law or agreed to in writing, software | ||
// distributed under the License is distributed on an "AS IS" BASIS, | ||
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. | ||
// See the License for the specific language governing permissions and | ||
// limitations under the License. | ||
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module fdiv ( | ||
input [31:0] a, | ||
input [31:0] b, | ||
output reg [31:0] result | ||
); | ||
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wire sign_a = a[31]; | ||
wire sign_b = b[31]; | ||
wire [7:0] exp_a = a[30:23]; | ||
wire [7:0] exp_b = b[30:23]; | ||
wire [23:0] mant_a = {1'b1, a[22:0]}; | ||
wire [23:0] mant_b = {1'b1, b[22:0]}; | ||
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wire sign_result = sign_a ^ sign_b; | ||
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// Check for zero inputs | ||
wire a_is_zero = (exp_a == 8'h00) && (a[22:0] == 23'h000000); | ||
wire b_is_zero = (exp_b == 8'h00) && (b[22:0] == 23'h000000); | ||
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// Exponent calculation | ||
wire [8:0] exp_temp = exp_a - exp_b + 127; // Subtract exponents and add bias | ||
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// Mantissa division | ||
reg [47:0] mant_result; | ||
always @(*) begin | ||
if (b_is_zero) begin | ||
// x/0: result should be infinity or NaN | ||
mant_result = 48'hFFFFFF; | ||
end else begin | ||
mant_result = (mant_a << 24) / mant_b; // Align for precision and divide | ||
end | ||
end | ||
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// Normalize result | ||
reg [7:0] exp_result; | ||
reg [22:0] mantissa_result; | ||
always @(*) begin | ||
if (a_is_zero || b_is_zero) begin | ||
// If either input is zero, result is zero | ||
exp_result = 8'h00; | ||
mantissa_result = 23'h000000; | ||
end else if (mant_result[47]) begin | ||
// If the result's leading bit is 1, shift right | ||
exp_result = exp_temp + 1; | ||
mantissa_result = mant_result[46:24]; | ||
end else begin | ||
// No shift needed | ||
exp_result = exp_temp; | ||
mantissa_result = mant_result[45:23]; | ||
end | ||
end | ||
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// Handle overflow, underflow, and special cases | ||
wire overflow = (exp_result >= 255); | ||
wire underflow = (exp_result <= 0); | ||
always @(*) begin | ||
if (overflow) begin | ||
// Overflow results in infinity | ||
result = {sign_result, 8'hFF, 23'h000000}; | ||
end else if (underflow) begin | ||
// Underflow results in zero | ||
result = {sign_result, 8'h00, 23'h000000}; | ||
end else if (b_is_zero) begin | ||
// Division by zero results in infinity or NaN | ||
result = {sign_result, 8'hFF, mantissa_result}; | ||
end else begin | ||
// Normal case | ||
result = {sign_result, exp_result, mantissa_result}; | ||
end | ||
end | ||
endmodule |