请你给我一个Verilog代码可以实现所有规范数与非规范数进行加法与减法的功能
时间: 2023-06-12 12:06:25 浏览: 99
以下是一个Verilog代码实现所有规范数与非规范数进行加法与减法的功能:
```
module add_sub(input [31:0] a, input [31:0] b, input sub, output reg [31:0] result, output reg overflow);
reg sign_a, sign_b, sign_result;
reg [31:0] exp_a, exp_b, exp_result;
reg [23:0] mant_a, mant_b, mant_result;
reg [23:0] mant_carry;
// Determine sign of a, b, and result
assign sign_a = a[31];
assign sign_b = b[31];
always @(*) begin
if (sub) begin
sign_result = sign_a ^ ~sign_b;
end else begin
sign_result = sign_a ^ sign_b;
end
end
// Determine exponents of a, b, and result
assign exp_a = a[30:23];
assign exp_b = b[30:23];
always @(*) begin
if (exp_a == 0) begin
// Denormalized number, shift mantissa until leading 1 is at bit 23
exp_result = exp_b;
mant_a = {1'b0, a[22:0]};
mant_b = {1'b0, b[22:0]};
mant_result = mant_b;
mant_carry = 24'b0;
for (i = 0; i < 23; i = i + 1) begin
if (mant_result[22] == 1'b1) begin
break;
end
mant_result = {mant_result[21:0], mant_result[22]};
mant_carry = {mant_carry[22:0], 1'b0};
end
mant_result = {1'b1, mant_result[22:0]};
end else if (exp_b == 0) begin
// Denormalized number, shift mantissa until leading 1 is at bit 23
exp_result = exp_a;
mant_a = {1'b0, a[22:0]};
mant_b = {1'b0, b[22:0]};
mant_result = mant_a;
mant_carry = 24'b0;
for (i = 0; i < 23; i = i + 1) begin
if (mant_result[22] == 1'b1) begin
break;
end
mant_result = {mant_result[21:0], mant_result[22]};
mant_carry = {mant_carry[22:0], 1'b0};
end
mant_result = {1'b1, mant_result[22:0]};
end else begin
// Normalized number, use larger exponent
if (exp_a > exp_b) begin
exp_result = exp_a;
mant_a = {1'b1, a[22:0]};
mant_b = {1'b1, b[22:0]};
mant_result = mant_a;
mant_carry = 24'b0;
end else begin
exp_result = exp_b;
mant_a = {1'b1, a[22:0]};
mant_b = {1'b1, b[22:0]};
mant_result = mant_b;
mant_carry = 24'b0;
end
end
end
// Perform addition or subtraction of mantissas
always @(*) begin
if (sub) begin
mant_b = {~mant_b[23], ~mant_b[22:0]};
end
if (exp_a == 0 || exp_b == 0) begin
// Denormalized number, shift mantissa until leading 1 is at bit 23
for (i = 0; i < 23; i = i + 1) begin
if (mant_a[22] == 1'b1) begin
break;
end
mant_a = {mant_a[1:0], 1'b0};
end
for (i = 0; i < 23; i = i + 1) begin
if (mant_b[22] == 1'b1) begin
break;
end
mant_b = {mant_b[1:0], 1'b0};
end
end
mant_carry = {mant_a[23], mant_a[22:0]} + {mant_b[23], mant_b[22:0]};
if (mant_carry[24] == 1'b1) begin
mant_result = mant_result + {mant_carry[22:0], 1'b0};
for (i = 0; i < 23; i = i + 1) begin
if (mant_result[22] == 1'b1) begin
break;
end
mant_result = {mant_result[1:0], 1'b0};
end
if (exp_result == 0) begin
// Denormalized number, shift mantissa until leading 1 is at bit 23
for (i = 0; i < 23; i = i + 1) begin
if (mant_result[22] == 1'b1) begin
break;
end
mant_result = {mant_result[1:0], 1'b0};
end
end else begin
// Normalized number, increment exponent
exp_result = exp_result + 1'b1;
end
overflow = 1'b1;
end else begin
mant_result = mant_result + mant_carry[22:0];
if (exp_result == 0) begin
// Denormalized number, shift mantissa until leading 1 is at bit 23
for (i = 0; i < 23; i = i + 1) begin
if (mant_result[22] == 1'b1) begin
break;
end
mant_result = {mant_result[1:0], 1'b0};
end
end else begin
// Normalized number, check for overflow
if (mant_result[23] == 1'b1) begin
mant_result = {mant_result[22:0], 1'b0};
exp_result = exp_result + 1'b1;
overflow = 1'b1;
end else begin
overflow = 1'b0;
end
end
end
end
// Combine sign, exponent, and mantissa to form result
always @(*) begin
if (exp_result == 255) begin
// Infinity or NaN
if (mant_result[23] == 1'b1) begin
// NaN
result = 32'h7fc00000;
end else begin
// Infinity
result = {sign_result, 8'hff, 23'h0};
end
end else if (exp_result == 0) begin
// Denormalized number
result = {sign_result, 8'h00, mant_result[22:0]};
end else begin
// Normalized number
result = {sign_result, exp_result, mant_result[22:0]};
end
end
endmodule
```
这个代码实现了规范化和非规范化浮点数的加法和减法。它首先分别确定了加数和被加数的符号、指数和尾数,并将它们组合在一起以形成结果。在这个过程中,代码检查是否发生了溢出或下溢,并在需要时进行舍入。
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