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# Instructions | ||
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Given a natural radicand, return its square root. | ||
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Note that the term "radicand" refers to the number for which the root is to be determined. | ||
That is, it is the number under the root symbol. | ||
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Check out the Wikipedia pages on [square root][square-root] and [methods of computing square roots][computing-square-roots]. | ||
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Recall also that natural numbers are positive real whole numbers (i.e. 1, 2, 3 and up). | ||
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[square-root]: https://en.wikipedia.org/wiki/Square_root | ||
[computing-square-roots]: https://en.wikipedia.org/wiki/Methods_of_computing_square_roots |
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{ | ||
"authors": [ | ||
"keiravillekode" | ||
], | ||
"contributors": [], | ||
"files": { | ||
"solution": [ | ||
"impl.mips" | ||
], | ||
"test": [ | ||
"runner.mips" | ||
], | ||
"example": [ | ||
".meta/example.mips" | ||
] | ||
}, | ||
"blurb": "Given a natural radicand, return its square root.", | ||
"source": "wolf99", | ||
"source_url": "https://github.com/exercism/problem-specifications/pull/1582" | ||
} |
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# | ||
# Calculate integer square_root | ||
# | ||
# a0 - input radicand | ||
# t0 - current square number, n*n | ||
# t1 - next triangular number, 2n+1 | ||
# v0 - output word | ||
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.globl square_root | ||
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.text | ||
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square_root: | ||
move $t0, $zero # 0*0 == 0 | ||
li $t1, 1 # 2*0+1 == 1 | ||
j compare | ||
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advance: | ||
add $t0, $t0, $t1 # n*n+2n+1 == (n+1)*(n+1) | ||
addi $t1, $t1, 2 # 2n+1+2 == 2(n+1)+1 | ||
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compare: | ||
blt $t0, $a0, advance | ||
srl $v0, $t1, 1 # Halve 2n+1, rounding down | ||
jr $ra |
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# This is an auto-generated file. | ||
# | ||
# Regenerating this file via `configlet sync` will: | ||
# - Recreate every `description` key/value pair | ||
# - Recreate every `reimplements` key/value pair, where they exist in problem-specifications | ||
# - Remove any `include = true` key/value pair (an omitted `include` key implies inclusion) | ||
# - Preserve any other key/value pair | ||
# | ||
# As user-added comments (using the # character) will be removed when this file | ||
# is regenerated, comments can be added via a `comment` key. | ||
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[9b748478-7b0a-490c-b87a-609dacf631fd] | ||
description = "root of 1" | ||
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[7d3aa9ba-9ac6-4e93-a18b-2e8b477139bb] | ||
description = "root of 4" | ||
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[6624aabf-3659-4ae0-a1c8-25ae7f33c6ef] | ||
description = "root of 25" | ||
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[93beac69-265e-4429-abb1-94506b431f81] | ||
description = "root of 81" | ||
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[fbddfeda-8c4f-4bc4-87ca-6991af35360e] | ||
description = "root of 196" | ||
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[c03d0532-8368-4734-a8e0-f96a9eb7fc1d] | ||
description = "root of 65025" |
Empty file.
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# | ||
# Test square_root with some examples | ||
# | ||
# s0 - num of tests left to run | ||
# s1 - address of input word | ||
# s2 - address of expected output word | ||
# s4 - output word | ||
# | ||
# square_root must: | ||
# - be named square_root and declared as global | ||
# - read radicand from a0 | ||
# - follow the convention of using the t0-9 registers for temporary storage | ||
# - (if it uses s0-7 then it is responsible for pushing existing values to the stack then popping them back off before returning) | ||
# - write integer result to v0 | ||
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.data | ||
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# number of test cases | ||
n: .word 6 | ||
# input values (null terminated) & expected output values (word sized ints) | ||
ins: .word 1, 4, 25, 81, 196, 65025 | ||
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outs: .word 1, 2, 5, 9, 14, 255 | ||
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failmsg: .asciiz "failed for test input: " | ||
okmsg: .asciiz "all tests passed" | ||
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.text | ||
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runner: | ||
lw $s0, n | ||
la $s1, ins | ||
la $s2, outs | ||
j run_test | ||
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run_test: | ||
lw $a0, 0($s1) # move input number to a0 | ||
jal square_root # call subroutine under test | ||
move $v1, $v0 # move return value in v0 to v1 because we need v0 for syscall | ||
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lw $s4, 0($s2) # read expected output from memory | ||
bne $v1, $s4, exit_fail # if expected doesn't match actual, jump to fail | ||
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addi $s1, $s1, 4 # move to next word in input | ||
addi $s2, $s2, 4 # move to next word in output | ||
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sub $s0, $s0, 1 # decrement num of tests left to run | ||
bgt $s0, $zero, run_test # if more than zero tests to run, jump to run_test | ||
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exit_ok: | ||
la $a0, okmsg # put address of okmsg into a0 | ||
li $v0, 4 # 4 is print string | ||
syscall | ||
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li $v0, 10 # 10 is exit with zero status (clean exit) | ||
syscall | ||
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exit_fail: | ||
la $a0, failmsg # put address of failmsg into a0 | ||
li $v0, 4 # 4 is print string | ||
syscall | ||
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lw $a0, ($s1) # print input that failed on | ||
li $v0, 1 | ||
syscall | ||
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li $a0, 1 # set error code to 1 | ||
li $v0, 17 # 17 is exit with error | ||
syscall | ||
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jr $ra | ||
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# # Include your implementation here if you wish to run this from the MARS GUI. | ||
# .include "impl.mips" |