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MIPS Programming Question

I need to create a program in MIPS that tests if 2y^2 is consecutive to x^2. For example x = 3 and y = 2 produces 8 and 9 which are consecutive. I have never written anything in assembly or MIPS to be exact before so I have no idea where to start. I'm using MARS as my IDE and that's about as far as I have gotten. Any info would be useful, thanks

 

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Just keeping this here as a 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50 minutes ago, BuckGup said:

I have never written anything in assembly

There's a fair amount prerequisite knowledge you'll need to dive into any assembly.

 

Assuming you have a handle on higher level programming, you'll understand datatypes (byte, word, longword) and signed/unsigned. Do you understand the idea of conditional branching/jumping? Address registers/pointers? Data registers? Subroutines?

 

50 minutes ago, BuckGup said:

I need to create a program in MIPS

I can help you with the psuedocode/flow, but I only really know Motorola 68K assembly. I learned a bit of MIPS for like one week in the course I was taught 68K, but I don't have any references leftover. Honestly, MIPS seems like an odd choice, though admittedly, it's not like 68K is any more relevant.

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Just now, AbydosOne said:

There's a fair amount prerequisite knowledge you'll need to dive into any assembly.

 

Assuming you have a handle on higher level programming, you'll understand datatypes (byte, word, longword) and signed/unsigned. Do you understand the idea of conditional branching/jumping? Address registers/pointers? Data registers? Subroutines?

 

I can help you with the psuedocode/flow, but I only really know Motorola 68K assembly. I learned a bit of MIPS for like one week in the course I was taught 68K, but I don't have any references leftover. Honestly, MIPS seems like an odd choice, though admittedly, it's not like 68K is any more relevant anymore.

From some short videos I watched jumping seems to be how data gets moved around from loops? I might be wrong on that. Aside from that the rest I am familiar with. Maybe not so much subroutines yet too. I'm not sure where to even start though. Normally you would create a class, instantiate variables, and so on. Also would any amount of SPIM code work in MIPS? Thanks

ƆԀ S₱▓Ɇ▓cs: i7 6ʇɥפᴉƎ00K (4.4ghz), Asus DeLuxe X99A II, GT҉X҉1҉0҉8҉0 Zotac Amp ExTrꍟꎭe),Si6F4Gb D???????r PlatinUm, EVGA G2 Sǝʌǝᘉ5ᙣᙍᖇᓎᙎᗅᖶt, Phanteks Enthoo Primo, 3TB WD Black, 500gb 850 Evo, H100iGeeTeeX, Windows 10, K70 R̸̢̡̭͍͕̱̭̟̩̀̀̃́̃͒̈́̈́͑̑́̆͘͜ͅG̶̦̬͊́B̸͈̝̖͗̈́, G502, HyperX Cloud 2s, Asus MX34. פN∩SW∀S 960 EVO

Just keeping this here as a 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5 minutes ago, BuckGup said:

From some short videos I watched jumping seems to be how data gets moved around from loops?

Not really, no. Conditional branching is what what allows the processor to go to different instruction memory locations based on the current state of a given register. You can create loops this way by branching to a memory location before the branch instruction (so the branch instruction keeps being executed, hopefully until a condition is met).

 

7 minutes ago, BuckGup said:

Also would any amount of SPIM code work in MIPS?

SPIM is a MIPS simulator, so yes? At least at a machine code level. Whether SPIM's human readable code is parsable by MARS, I don't know.

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10 minutes ago, AbydosOne said:

Not really, no. Conditional branching is what what allows the processor to go to different instruction memory locations based on the current state of a given register. You can create loops this way by branching to a memory location before the branch instruction (so the branch instruction keeps being executed, hopefully until a condition is met).

 

SPIM is a MIPS simulator, so yes? At least at a machine code level. Whether SPIM's human readable code is parsable by MARS, I don't know.

Alright I'll watch a few more videos before I come back with specific questions

ƆԀ S₱▓Ɇ▓cs: i7 6ʇɥפᴉƎ00K (4.4ghz), Asus DeLuxe X99A II, GT҉X҉1҉0҉8҉0 Zotac Amp ExTrꍟꎭe),Si6F4Gb D???????r PlatinUm, EVGA G2 Sǝʌǝᘉ5ᙣᙍᖇᓎᙎᗅᖶt, Phanteks Enthoo Primo, 3TB WD Black, 500gb 850 Evo, H100iGeeTeeX, Windows 10, K70 R̸̢̡̭͍͕̱̭̟̩̀̀̃́̃͒̈́̈́͑̑́̆͘͜ͅG̶̦̬͊́B̸͈̝̖͗̈́, G502, HyperX Cloud 2s, Asus MX34. פN∩SW∀S 960 EVO

Just keeping this here as a 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Wow MIPS32, I really love to remember my university times. I'm about to cry a bit. I used PcSpim and QtSpim, I think QtSpim is easier to understand... Never tried MARS.

 

But: 2y^2 is equal to 2(y*y) which are four instructions set, mul, get result from register, mul and get result from register. And x^2 is x*x mul and get result from register, then compare if n2 - 1 is equal to n1, which are two instructions, addi n3, n2, 0b1111 (if I remember correctly we are working with two's complement representation) then beq n3 n1 jumpto... or similar. Did I understand well?

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  • 3 weeks later...

How about something like this?

 

It's unoptimized for didactical purposes. You can completely remove the branches, labels and final addi's if you make a few changes.

 

Input X AND Y are should use no more than 31 bits. If you want bigger operands, you will need to deal with the resulting 64 bit number divided into the HI and LO registers.

 

Or you can use the floating point unit... Which removes all the fun...

 

I remember when a professor asked us to implement the FFT and IFFT using only integers. It was a pain to implement the complex math (imaginary+real) with only integers.

.text
# load values of X and Y to registers
addi $t2, $zero, 3 # value of X, assuming <= 16 bits = 64k
addi $t3, $zero, 2 # value of Y, assuming <= 16 bits = 64k

# calculate 2*(Y^2)
mul $t4, $t3, $t3 # t4 = low 32 bits of Y*Y
add $t4, $t4, $t4 # t4 = low 32bits of Y*Y * 2

# calculate X^2
mul $t5, $t2, $t2 # r6 = low 32 bits of X*X

addi $t6, $t4, 1
# Jump to equal label if (2*(Y^2)+1) == X^2, which indicate the second is a consecutive number of the first (e.g. 8 and 9)
beq $t6, $t5, EQUAL

subi $t6, $t4, 1
# Jump to equal label if (2*(Y^2)-1) == X^2, which indicate the first is a consecutive number of the second (e.g. 9 and 8)
beq $t6, $t5, EQUAL

# If results were not equal, set register a0 as 0 (false) and jump to end label
NOTEQUAL:
addi $a0, $zero, 0
j END

# If results are equal, set register a0 as 1 (true) and proceed to end label
EQUAL:
addi $a0, $zero, 1

END:
or $a0, $a0, $a0

 

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