Notebooks · lib/algo/legacy/tests/cmp_quicksort
lib/ algo/ legacy/ tests/ cmp_quicksort.viv
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# Generated by tools/algo/check.py from lib/algo/algo.spec: do not edit. # Each case prints its input (= X), its results, and the verdict of each postcondition # (? ...) as lib/algo/props.viv computes it; check.py checks them again in Python. from algo.cases import algo_case, CASE_NAMES from algo.props import algo_is_permutation, algo_is_sorted, algo_is_stable_values from algo.legacy.cmp_quicksort import quicksort #| cmp_quicksort: the /compare page's quicksort (Lomuto, last element as pivot) def algo_t_cmp_quicksort(kind, n, inside, skip: Arr) -> Bool { X = algo_case(kind, n, 1 + 97 * kind + n) print("@ cmp_quicksort", CASE_NAMES[kind], n) R = copy(X) quicksort(R, 0, len(R) - 1) print("= X", fmt(X)) print("= R", fmt(R)) p0 = algo_is_permutation(R, X) p1 = algo_is_sorted(R) p2 = algo_is_stable_values(R, X) print("?", p0, p1, p2) return inside == 0 or ((p0 or skip[0] == 1) and (p1 or skip[1] == 1)) } algo_t_ok_cmp_quicksort = true algo_t_kinds_cmp_quicksort = [0.0, 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0] algo_t_inside_cmp_quicksort = [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0] algo_t_sizes_cmp_quicksort = [0.0, 1.0, 2.0, 3.0, 4.0, 5.0, 7.0, 8.0, 9.0, 15.0, 16.0, 17.0, 31.0, 32.0, 33.0, 63.0, 64.0, 65.0, 129.0, 257.0] algo_t_skip_cmp_quicksort = [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0] for algo_t_k to len(algo_t_kinds_cmp_quicksort) { for algo_t_s to len(algo_t_sizes_cmp_quicksort) { algo_t_r = algo_t_cmp_quicksort(algo_t_kinds_cmp_quicksort[algo_t_k], algo_t_sizes_cmp_quicksort[algo_t_s], algo_t_inside_cmp_quicksort[algo_t_k], algo_t_skip_cmp_quicksort[algo_t_k * 2:(algo_t_k + 1) * 2]) algo_t_ok_cmp_quicksort = algo_t_ok_cmp_quicksort and algo_t_r } } test "cmp_quicksort: permutation R X, ordered R (kinds random dups sorted reversed equal organ sawtooth nearly zeros)" { assert_true(algo_t_ok_cmp_quicksort) }