Datasets:
Tasks:
Text Generation
Modalities:
Text
Formats:
json
Languages:
English
Size:
< 1K
ArXiv:
Tags:
competitive-programming
code-generation
specification-generation
proof-generation
verification
rust
License:
| use vstd::prelude::*; | |
| fn main() {} | |
| verus! { | |
| pub struct Solution; | |
| pub open spec fn clamp(val: int, lo: int, hi: int) -> int { | |
| if val < lo { | |
| lo | |
| } else if val > hi { | |
| hi | |
| } else { | |
| val | |
| } | |
| } | |
| pub open spec fn overlaps(radius: int, x_center: int, y_center: int, x1: int, y1: int, x2: int, y2: int) -> bool { | |
| let nearest_x = clamp(x_center, x1, x2); | |
| let nearest_y = clamp(y_center, y1, y2); | |
| let dx = x_center - nearest_x; | |
| let dy = y_center - nearest_y; | |
| dx * dx + dy * dy <= radius * radius | |
| } | |
| impl Solution { | |
| pub fn check_overlap(radius: i32, x_center: i32, y_center: i32, x1: i32, y1: i32, x2: i32, y2: i32) -> (res: bool) | |
| requires | |
| 1 <= radius <= 2000, | |
| -10_000 <= x_center <= 10_000, | |
| -10_000 <= y_center <= 10_000, | |
| -10_000 <= x1 <= 10_000, | |
| -10_000 <= y1 <= 10_000, | |
| -10_000 <= x2 <= 10_000, | |
| -10_000 <= y2 <= 10_000, | |
| x1 < x2, | |
| y1 < y2, | |
| ensures | |
| res == overlaps(radius as int, x_center as int, y_center as int, x1 as int, y1 as int, x2 as int, y2 as int), | |
| { | |
| let nearest_x = if x_center < x1 { x1 } else if x_center > x2 { x2 } else { x_center }; | |
| let nearest_y = if y_center < y1 { y1 } else if y_center > y2 { y2 } else { y_center }; | |
| let dx = x_center - nearest_x; | |
| let dy = y_center - nearest_y; | |
| dx * dx + dy * dy <= radius * radius | |
| } | |
| } | |
| } | |