## RISC-V build 32-bit constants with LUI and ADDI

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LUI (load upper immediate) is used to build 32-bit constants and uses the U-type format. LUI places the U-immediate value in the top 20 bits of the destination register rd, filling in the lowest 12 bits with zeros.

I found this in manual, but if I want to move 0xffffffff to a register, all the code I need is:

LUI x2, 0xfffff000

But a problem occurred, ADDI will extend sign to make a immediate data to a signed number, so 0xfff will be extend to 0xffffffff.

It make x2 to 0xffffefff but not 0xffffffff

and what is an good implementation to move a 32bits immediate to register?

The RISC-V assembler supports the pseudo-instruction li x2, 0xFFFFFFFF.

Let Nis a signed, 2's complement 32 bit integer.

Common case implementation of li x2,N is:

# sign extend low 12 bits
M=(N << 20) >> 20

# Upper 20 bits
K=((N-M) >> 12) <<12

LUI x2,K

Of course, to load short immediate li can use

So, li x2, 0xFFFFFFFF is addi x2,x0,-1.

riscv - RISC-V build 32-bit constants with LUI and ADDI, LUI (load upper immediate) is used to build 32-bit constants and uses the U-type format. LUI places the U-immediate value in the top 20 bits of the destination  In RISC-V instruction set manual, the shift Immediate instructions: SLLI (Shift Left Logical Immediate). SRLI (Shift Right Logical Immediate). SRAI (Shift Right Arithmetic Immediate). It is mentioned in the manual . Shifts by a constant are encoded as a specialization of the I-type format.

I was going to say "use ORI instead of ADDI" but then I read the Instruction Set Manual and it turns out that that doesn't work either, because all of the lower-12 Immediate operands get sign-extended, even for logical operations.

AFAICT you have to bias the value you put into the upper 20 bits in a way that anticipates the effect of the instruction you use to set the lower 12 bits. So if you want to end up with a value X in the top 20 bits and you're going to use ADDI to set the lower 12 bits, and those lower 12 bits have a 1 in the leftmost position, you must do LUI (X+1) rather than LUI X. Similarly if you are going to use XORI to set the lower 12 bits, and those lower 12 bits have a 1 in the leftmost position, you must do LUI (~X) (that is, the bitwise inverse of X) rather than LUI X.

But before you do any of that, I'd look to see whether your assembler already has some sort of "load immediate" pseudo-op or macro that will take care of this for you. If it doesn't, then see if you can write one :-)

It's not unusual for RISC processors to need this kind of extra effort from the programmer (or, more usually, from the compiler). The idea is "keep the hardware simple so it can go fast, and it doesn't matter if that makes it harder to construct the software".

[PDF] The RISC-V Instruction Set Manual, ADDI adds the sign-extended 12-bit immediate to register rs1. LUI (load upper immediate) is used to build 32-bit constants and uses the  LUI (load upper immediate) is used to build 32-bit constants and uses the U-type format. LUI places the U-immediate value in the top 20 bits of the destination register rd, filling in the lowest 12 bits with zeros. It places the "U-immediate value" in the top 20 bits. What is the "U-immediate value"? In the figure above the quoted text I can see:

TL;DR: The 32-bit constant you want to load into x2 is 0xffffffff which corresponds to -1. Since -1 is in the range [-2048, 2047], this constant can be loaded with a single instruction: addi x2, zero, -1. You can also use the li pseudoinstruction: li, x2, -1 which the assembler, in turn, translates to addi x2, zero, -1.

In general, we need a lui+addi sequence – two instructions – for loading a 32-bit constant into a register. The lui instruction encodes a 20-bit immediate, whereas the addi instruction encodes a 12-bit immediate. lui and addi can be used to load the upper 20 bits and the lower 12 bits of a 32-bit constant, respectively.

Let N be a 32-bit constant we want to load into a register: N ≡ n31 ... n0. Then, we can split this constant into its upper 20 bits and lower 12 bits, NU and NL, respectively: NU ≡ n31 ... n12 ; NL ≡ n11 ... n0

In principle, we encode NU in the immediate in lui and NL in the immediate in addi. Nevertheless, there is a difficulty to handle if the most significant bit of the 12-bit immediate in addi is 1 because the immediate value encoded in the addi instruction is sign extended to 32 bits. If this is the case, the addi instruction adds to the destination register not NL, but NL - 4096 instead — -4096 (or -212) is the resulting number when the upper 20 bits are 1s and the lower 12 bits are 0s.

To compensate for the unwanted term -4096, we can add 1 to lui's immediate – the LSB of the immediate in lui corresponds to bit #12 – so, adding 1 to this immediate results in adding 4096 to the destination register which cancels out the -4096 term.

The issue explained above is due to the sign extension that the immediate in addi undergoes. The decision of sign extending addi's immediate was probably to allow the loading of small integersintegers between -2048 and 2047, both inclusive – with a single addi instruction. For example, if the immediate in addi were zero extended instead of sign extended, it wouldn't be possible to load such a frequent constant like -1 into a register with just a single instruction.