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Newton's method on integers, converging when y >= x:
let isqrt n =
if n < 2 then n
else
let x = ref n in
let y = ref ((!x + 1) / 2) in
while !y < !x do
x := !y;
y := (!x + n / !x) / 2
done;
!x
Test cases:
isqrt 144 = 12 (perfect square)
isqrt 200 = 14 (floor of sqrt(200) ~= 14.14)
isqrt 1000000 = 1000
isqrt 2 = 1
sum = 1027
Companion to newton_sqrt.ml (iter 124, float Newton). Tests integer
division semantics from iter 94 and a while-until-convergence loop.
88 baseline programs total.
93 lines
1.9 KiB
JSON
93 lines
1.9 KiB
JSON
{
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"anagram_check.ml": 2,
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"balance.ml": 3,
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"base_n.ml": 17,
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"brainfuck.ml": 75,
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"bsearch.ml": 7,
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"caesar.ml": 215,
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"calc.ml": 13,
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"closures.ml": 315,
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"coin_change.ml": 6,
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"count_change.ml": 406,
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"csv.ml": 10,
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"exception_handle.ml": 4,
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"exception_user.ml": 26,
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"expr_eval.ml": 16,
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"expr_simp.ml": 22,
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"factorial.ml": 3628800,
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"fib_doubling.ml": 102334155,
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"fib_mod.ml": 391360,
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"fraction.ml": 7,
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"frequency.ml": 5,
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"gcd_lcm.ml": 60,
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"grep_count.ml": 3,
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"grid_paths.ml": 210,
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"group_consec.ml": 53,
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"hailstone.ml": 111,
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"hanoi.ml": 1023,
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"hist.ml": 75,
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"int_sqrt.ml": 1027,
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"fizzbuzz.ml": 57,
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"flatten_tree.ml": 28,
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"luhn.ml": 2,
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"mat_mul.ml": 621,
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"max_path_tree.ml": 11,
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"mod_inverse.ml": 27,
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"json_pretty.ml": 24,
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"lambda_calc.ml": 7,
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"levenshtein.ml": 11,
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"memo_fib.ml": 75025,
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"mortgage.ml": 1073,
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"prime_factors.ml": 17,
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"queens.ml": 2,
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"rpn.ml": 9,
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"run_decode.ml": 21,
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"run_length.ml": 11,
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"safe_div.ml": 20,
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"shuffle.ml": 55,
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"stable_unique.ml": 46,
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"subset_sum.ml": 8,
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"tic_tac_toe.ml": 1,
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"word_freq.ml": 8,
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"zigzag.ml": 55,
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"zip_unzip.ml": 1000,
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"sieve.ml": 15,
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"sum_squares.ml": 385,
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"tree_depth.ml": 4,
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"triangle.ml": 11,
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"twosum.ml": 5,
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"unique_set.ml": 9,
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"validate.ml": 417,
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"word_count.ml": 3
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}
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