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verilog - What is `+:` and `-:`?

What are the +: and -: Verilog/SystemVerilog operators? When and how do you use them? For example:

logic [15:0] down_vect;
logic [0:15] up_vect;

down_vect[lsb_base_expr +: width_expr]
up_vect  [msb_base_expr +: width_expr]
down_vect[msb_base_expr -: width_expr]
up_vect  [lsb_base_expr -: width_expr]
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That particular syntax is called an indexed part select. It's very useful when you need to select a fixed number of bits from a variable offset within a multi-bit register.

Here's an example of the syntax:

reg [31:0] dword;
reg [7:0] byte0;
reg [7:0] byte1;
reg [7:0] byte2;
reg [7:0] byte3;

assign byte0 = dword[0 +: 8];    // Same as dword[7:0]
assign byte1 = dword[8 +: 8];    // Same as dword[15:8]
assign byte2 = dword[16 +: 8];   // Same as dword[23:16]
assign byte3 = dword[24 +: 8];   // Same as dword[31:24]

The biggest advantage with this syntax is that you can use a variable for the index. Normal part selects in Verilog require constants. So attempting the above with something like dword[i+7:i] is not allowed.

So if you want to select a particular byte using a variable select, you can use the indexed part select.

Example using variable:

reg [31:0] dword;
reg [7:0] byte; 
reg [1:0] i;

// This is illegal due to the variable i, even though the width is always 8 bits
assign byte = dword[(i*8)+7 : i*8];  // ** Not allowed!

// Use the indexed part select 
assign byte = dword[i*8 +: 8];

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