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start adding the basis for quadsort for blitsort
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parent
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commit
52af8c588e
2 changed files with 300 additions and 59 deletions
293
crates/compiler/builtins/bitcode/src/sort.zig
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293
crates/compiler/builtins/bitcode/src/sort.zig
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const std = @import("std");
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const testing = std.testing;
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const utils = @import("utils.zig");
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const roc_panic = @import("panic.zig").panic_help;
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const Opaque = ?[*]u8;
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const CompareFn = *const fn (Opaque, Opaque, Opaque) callconv(.C) u8;
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const CopyFn = *const fn (Opaque, Opaque) callconv(.C) void;
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const IncN = *const fn (?[*]u8, usize) callconv(.C) void;
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/// Any size larger than the max element buffer will be sorted indirectly via pointers.
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const MAX_ELEMENT_BUFFER_SIZE: usize = 64;
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pub fn quadsort(
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source_ptr: [*]u8,
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len: usize,
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cmp: CompareFn,
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cmp_data: Opaque,
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data_is_owned: bool,
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inc_n_data: IncN,
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element_width: usize,
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copy: CopyFn,
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) void {
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if (element_width <= MAX_ELEMENT_BUFFER_SIZE) {
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quadsort_direct(source_ptr, len, cmp, cmp_data, data_is_owned, inc_n_data, element_width, copy);
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} else {
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roc_panic("todo: fallback to an indirect pointer sort", 0);
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}
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}
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fn quadsort_direct(
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source_ptr: [*]u8,
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len: usize,
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cmp: CompareFn,
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cmp_data: Opaque,
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data_is_owned: bool,
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inc_n_data: IncN,
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element_width: usize,
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copy: CopyFn,
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) void {
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_ = inc_n_data;
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_ = data_is_owned;
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_ = cmp_data;
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_ = len;
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_ = copy;
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_ = element_width;
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_ = cmp;
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_ = source_ptr;
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roc_panic("todo: quadsort", 0);
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}
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/// Merge two neighboring sorted 4 element arrays into swap.
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inline fn parity_merge_four(ptr: [*]u8, swap: [*]u8, cmp_data: Opaque, cmp: CompareFn, element_width: usize, copy: CopyFn) void {
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var left = ptr;
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var right = ptr + (4 * element_width);
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var swap_ptr = swap;
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head_branchless_merge(&swap_ptr, &left, &right, cmp_data, cmp, element_width, copy);
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head_branchless_merge(&swap_ptr, &left, &right, cmp_data, cmp, element_width, copy);
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head_branchless_merge(&swap_ptr, &left, &right, cmp_data, cmp, element_width, copy);
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const lte = @as(utils.Ordering, @enumFromInt(cmp(cmp_data, left, right))) != utils.Ordering.GT;
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var to_copy = if (lte) left else right;
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copy(swap_ptr, to_copy);
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left = ptr + (3 * element_width);
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right = ptr + (7 * element_width);
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swap_ptr = swap + (7 * element_width);
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tail_branchless_merge(&swap_ptr, &left, &right, cmp_data, cmp, element_width, copy);
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tail_branchless_merge(&swap_ptr, &left, &right, cmp_data, cmp, element_width, copy);
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tail_branchless_merge(&swap_ptr, &left, &right, cmp_data, cmp, element_width, copy);
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const gt = @as(utils.Ordering, @enumFromInt(cmp(cmp_data, left, right))) == utils.Ordering.GT;
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to_copy = if (gt) left else right;
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copy(swap_ptr, to_copy);
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}
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/// Merge two neighboring sorted 2 element arrays into swap.
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inline fn parity_merge_two(ptr: [*]u8, swap: [*]u8, cmp_data: Opaque, cmp: CompareFn, element_width: usize, copy: CopyFn) void {
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var left = ptr;
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var right = ptr + (2 * element_width);
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var swap_ptr = swap;
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head_branchless_merge(&swap_ptr, &left, &right, cmp_data, cmp, element_width, copy);
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const lte = @as(utils.Ordering, @enumFromInt(cmp(cmp_data, left, right))) != utils.Ordering.GT;
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var to_copy = if (lte) left else right;
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copy(swap_ptr, to_copy);
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left = ptr + element_width;
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right = ptr + (3 * element_width);
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swap_ptr = swap + (3 * element_width);
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tail_branchless_merge(&swap_ptr, &left, &right, cmp_data, cmp, element_width, copy);
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const gt = @as(utils.Ordering, @enumFromInt(cmp(cmp_data, left, right))) == utils.Ordering.GT;
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to_copy = if (gt) left else right;
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copy(swap_ptr, to_copy);
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}
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/// Moves the smaller element from left and rigth to dest.
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/// Will increment both dest and the smaller element ptr to their next index.
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/// Inlining will remove the extra level of pointer indirection here.
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/// It is just used to allow mutating the input pointers.
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inline fn head_branchless_merge(dest: *[*]u8, left: *[*]u8, right: *[*]u8, cmp_data: Opaque, cmp: CompareFn, element_width: usize, copy: CopyFn) void {
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// Note there is a much simpler version here:
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// *ptd++ = cmp(ptl, ptr) <= 0 ? *ptl++ : *ptr++;
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// That said, it is only used with gcc, so I assume it has optimization issues with llvm.
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// Thus using the longer form.
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const lte = @as(utils.Ordering, @enumFromInt(cmp(cmp_data, left.*, right.*))) != utils.Ordering.GT;
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// TODO: double check this is branchless.
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const x = if (lte) element_width else 0;
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const not_x = if (lte) 0 else element_width;
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copy(dest.*, left.*);
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left.* += x;
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copy((dest.* + x), right.*);
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right.* += not_x;
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dest.* += element_width;
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}
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/// Moves the smaller element from left and rigth to dest.
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/// Will decrement both dest and the smaller element ptr to their previous index.
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/// Inlining will remove the extra level of pointer indirection here.
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/// It is just used to allow mutating the input pointers.
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inline fn tail_branchless_merge(dest: *[*]u8, left: *[*]u8, right: *[*]u8, cmp_data: Opaque, cmp: CompareFn, element_width: usize, copy: CopyFn) void {
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// Note there is a much simpler version here:
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// *tpd-- = cmp(tpl, tpr) > 0 ? *tpl-- : *tpr--;
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// That said, it is only used with gcc, so I assume it has optimization issues with llvm.
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// Thus using the longer form.
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const lte = @as(utils.Ordering, @enumFromInt(cmp(cmp_data, left.*, right.*))) != utils.Ordering.GT;
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// TODO: double check this is branchless.
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const y = if (lte) element_width else 0;
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const not_y = if (lte) 0 else element_width;
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copy(dest.*, left.*);
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left.* -= not_y;
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dest.* -= element_width;
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copy((dest.* + y), right.*);
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right.* -= y;
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}
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/// Swaps the element at ptr with the element after it if the element is greater than the next.
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inline fn swap_branchless(ptr: [*]u8, swap: [*]u8, cmp_data: Opaque, cmp: CompareFn, element_width: usize, copy: CopyFn) void {
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const gt = @as(utils.Ordering, @enumFromInt(cmp(cmp_data, ptr, ptr + element_width))) == utils.Ordering.GT;
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// TODO: double check this is branchless. I would expect llvm to optimize this to be branchless.
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// But based on reading some comments in quadsort, llvm seems to prefer branches very often.
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const x = if (gt) element_width else 0;
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const y = if (gt) 0 else element_width;
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copy(swap, ptr + y);
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copy(ptr, ptr + x);
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copy(ptr + element_width, swap);
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}
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test "parity_merge_four" {
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var arr = [8]i64{ 1, 2, 3, 4, 5, 6, 7, 8 };
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var swap = [8]i64{ 0, 0, 0, 0, 0, 0, 0, 0 };
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var arr_ptr = @as([*]u8, @ptrCast(&arr[0]));
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var swap_ptr = @as([*]u8, @ptrCast(&swap[0]));
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parity_merge_four(arr_ptr, swap_ptr, null, &test_i64_compare, @sizeOf(i64), &test_i64_copy);
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try testing.expectEqual(swap, [8]i64{ 1, 2, 3, 4, 5, 6, 7, 8 });
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arr = [8]i64{ 5, 6, 7, 8, 1, 2, 3, 4 };
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swap = [8]i64{ 0, 0, 0, 0, 0, 0, 0, 0 };
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parity_merge_four(arr_ptr, swap_ptr, null, &test_i64_compare, @sizeOf(i64), &test_i64_copy);
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try testing.expectEqual(swap, [8]i64{ 1, 2, 3, 4, 5, 6, 7, 8 });
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arr = [8]i64{ 1, 3, 5, 7, 2, 4, 6, 8 };
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swap = [8]i64{ 0, 0, 0, 0, 0, 0, 0, 0 };
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parity_merge_four(arr_ptr, swap_ptr, null, &test_i64_compare, @sizeOf(i64), &test_i64_copy);
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try testing.expectEqual(swap, [8]i64{ 1, 2, 3, 4, 5, 6, 7, 8 });
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}
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test "parity_merge_two" {
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var arr = [4]i64{ 1, 2, 3, 4 };
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var swap = [4]i64{ 0, 0, 0, 0 };
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var arr_ptr = @as([*]u8, @ptrCast(&arr[0]));
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var swap_ptr = @as([*]u8, @ptrCast(&swap[0]));
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parity_merge_two(arr_ptr, swap_ptr, null, &test_i64_compare, @sizeOf(i64), &test_i64_copy);
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try testing.expectEqual(swap, [4]i64{ 1, 2, 3, 4 });
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arr = [4]i64{ 1, 3, 2, 4 };
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swap = [4]i64{ 0, 0, 0, 0 };
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parity_merge_two(arr_ptr, swap_ptr, null, &test_i64_compare, @sizeOf(i64), &test_i64_copy);
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try testing.expectEqual(swap, [4]i64{ 1, 2, 3, 4 });
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arr = [4]i64{ 3, 4, 1, 2 };
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swap = [4]i64{ 0, 0, 0, 0 };
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parity_merge_two(arr_ptr, swap_ptr, null, &test_i64_compare, @sizeOf(i64), &test_i64_copy);
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try testing.expectEqual(swap, [4]i64{ 1, 2, 3, 4 });
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arr = [4]i64{ 2, 4, 1, 3 };
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swap = [4]i64{ 0, 0, 0, 0 };
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parity_merge_two(arr_ptr, swap_ptr, null, &test_i64_compare, @sizeOf(i64), &test_i64_copy);
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try testing.expectEqual(swap, [4]i64{ 1, 2, 3, 4 });
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arr = [4]i64{ 1, 4, 2, 3 };
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swap = [4]i64{ 0, 0, 0, 0 };
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parity_merge_two(arr_ptr, swap_ptr, null, &test_i64_compare, @sizeOf(i64), &test_i64_copy);
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try testing.expectEqual(swap, [4]i64{ 1, 2, 3, 4 });
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}
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test "head_merge" {
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var dest = [6]i64{ 0, 0, 0, 0, 0, 0 };
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var left = [4]i64{ 1, 7, 10, 22 };
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var right = [4]i64{ 2, 2, 8, 22 };
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var dest_ptr = @as([*]u8, @ptrCast(&dest[0]));
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var left_ptr = @as([*]u8, @ptrCast(&left[0]));
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var right_ptr = @as([*]u8, @ptrCast(&right[0]));
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head_branchless_merge(&dest_ptr, &left_ptr, &right_ptr, null, &test_i64_compare, @sizeOf(i64), &test_i64_copy);
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head_branchless_merge(&dest_ptr, &left_ptr, &right_ptr, null, &test_i64_compare, @sizeOf(i64), &test_i64_copy);
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head_branchless_merge(&dest_ptr, &left_ptr, &right_ptr, null, &test_i64_compare, @sizeOf(i64), &test_i64_copy);
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head_branchless_merge(&dest_ptr, &left_ptr, &right_ptr, null, &test_i64_compare, @sizeOf(i64), &test_i64_copy);
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head_branchless_merge(&dest_ptr, &left_ptr, &right_ptr, null, &test_i64_compare, @sizeOf(i64), &test_i64_copy);
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head_branchless_merge(&dest_ptr, &left_ptr, &right_ptr, null, &test_i64_compare, @sizeOf(i64), &test_i64_copy);
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try testing.expectEqual(dest, [6]i64{ 1, 2, 2, 7, 8, 10 });
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}
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test "tail_merge" {
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var dest = [6]i64{ 0, 0, 0, 0, 0, 0 };
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var left = [4]i64{ -22, 1, 7, 10 };
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var right = [4]i64{ -22, 2, 2, 8 };
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var dest_ptr = @as([*]u8, @ptrCast(&dest[dest.len - 1]));
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var left_ptr = @as([*]u8, @ptrCast(&left[left.len - 1]));
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var right_ptr = @as([*]u8, @ptrCast(&right[right.len - 1]));
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tail_branchless_merge(&dest_ptr, &left_ptr, &right_ptr, null, &test_i64_compare, @sizeOf(i64), &test_i64_copy);
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tail_branchless_merge(&dest_ptr, &left_ptr, &right_ptr, null, &test_i64_compare, @sizeOf(i64), &test_i64_copy);
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tail_branchless_merge(&dest_ptr, &left_ptr, &right_ptr, null, &test_i64_compare, @sizeOf(i64), &test_i64_copy);
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tail_branchless_merge(&dest_ptr, &left_ptr, &right_ptr, null, &test_i64_compare, @sizeOf(i64), &test_i64_copy);
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tail_branchless_merge(&dest_ptr, &left_ptr, &right_ptr, null, &test_i64_compare, @sizeOf(i64), &test_i64_copy);
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tail_branchless_merge(&dest_ptr, &left_ptr, &right_ptr, null, &test_i64_compare, @sizeOf(i64), &test_i64_copy);
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try testing.expectEqual(dest, [6]i64{ 1, 2, 2, 7, 8, 10 });
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}
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test "swap" {
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var arr = [2]i64{ 10, 20 };
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var arr_ptr = @as([*]u8, @ptrCast(&arr[0]));
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var swap: i64 = 0;
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var swap_ptr = @as([*]u8, @ptrCast(&swap));
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swap_branchless(arr_ptr, swap_ptr, null, &test_i64_compare, @sizeOf(i64), &test_i64_copy);
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try testing.expectEqual(arr[0], 10);
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try testing.expectEqual(arr[1], 20);
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arr[0] = 77;
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arr[1] = -12;
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swap_branchless(arr_ptr, swap_ptr, null, &test_i64_compare, @sizeOf(i64), &test_i64_copy);
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try testing.expectEqual(arr[0], -12);
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try testing.expectEqual(arr[1], 77);
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arr[0] = -22;
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arr[1] = -22;
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swap_branchless(arr_ptr, swap_ptr, null, &test_i64_compare, @sizeOf(i64), &test_i64_copy);
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try testing.expectEqual(arr[0], -22);
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try testing.expectEqual(arr[1], -22);
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}
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fn test_i64_compare(_: Opaque, a_ptr: Opaque, b_ptr: Opaque) callconv(.C) u8 {
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const a = @as(*i64, @alignCast(@ptrCast(a_ptr))).*;
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const b = @as(*i64, @alignCast(@ptrCast(b_ptr))).*;
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const gt = @as(u8, @intFromBool(a > b));
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const lt = @as(u8, @intFromBool(a < b));
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// Eq = 0
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// GT = 1
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// LT = 2
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return lt + lt + gt;
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}
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fn test_i64_copy(dst_ptr: Opaque, src_ptr: Opaque) callconv(.C) void {
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@as(*i64, @alignCast(@ptrCast(dst_ptr))).* = @as(*i64, @alignCast(@ptrCast(src_ptr))).*;
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}
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