From ab21d4db60a88ff854a50e586ee9d91df2560d96 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Stephan=20H=C3=BCgel?= Date: Thu, 16 Mar 2023 15:11:04 +0000 Subject: [PATCH] First pass at porting test fixtures from Nanevski et al (2001) --- fixtures/incircle.txt | 1000 +++++++++++++++++++++++++++++++++++++++++ fixtures/insphere.txt | 1000 +++++++++++++++++++++++++++++++++++++++++ fixtures/orient2d.txt | 1000 +++++++++++++++++++++++++++++++++++++++++ fixtures/orient3d.txt | 1000 +++++++++++++++++++++++++++++++++++++++++ src/lib.rs | 250 ++++++++++- 5 files changed, 4240 insertions(+), 10 deletions(-) create mode 100644 fixtures/incircle.txt create mode 100644 fixtures/insphere.txt create mode 100644 fixtures/orient2d.txt create mode 100644 fixtures/orient3d.txt diff --git a/fixtures/incircle.txt b/fixtures/incircle.txt new file mode 100644 index 0000000..08d35fc --- /dev/null +++ b/fixtures/incircle.txt @@ -0,0 +1,1000 @@ +1 1.4961614016396960e+12 1.3318242171938891e+01 7.6400648583370128e+01 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3.1412289929824258e+12 -1.9589418156339870e+32 3.4369855414613281e+11 1.1208555802922646e+13 -1.7849265604699733e+22 1.7829827397687481e-01 -2.7192748966964991e+33 -2.9604063890948676e+31 4.2745418149818657e+12 1 diff --git a/src/lib.rs b/src/lib.rs index 7f6ad85..df437f6 100644 --- a/src/lib.rs +++ b/src/lib.rs @@ -10,13 +10,14 @@ // except according to those terms. #![allow(non_snake_case)] -//! This is a direct transcript of the sourcecode and algorithms provided by +//! # Adaptive Precision Floating-Point Arithmetic and Fast Robust Predicates for Computational Geometry +//! This is a direct transcript of the source code and algorithms provided by //! Jonathan Richard Shewchuk ([https://www.cs.cmu.edu/~quake/robust.html](https://www.cs.cmu.edu/~quake/robust.html)) //! See the paper and the source code for more information. //! //! The module offers adaptive and precise calculations for orientation queries -//! (on which side of a line does a point lie?) and in-circle queries -//! (is a given point contained in the circumference of a triangle?) +//! – "on which side of a line (2d) or plane (3d) does a point lie?" – and in-circle / in-sphere queries +//! – "is a given point contained in the circumference of a triangle?". //! The "adaptive" nature will increase performance only if a simpler calculation //! cannot be guaranteed to be accurate enough, yielding higher performance on //! average. @@ -64,7 +65,7 @@ const ISPERRBOUND_B: f64 = (5.0 + 72.0 * EPSILON) * EPSILON; const ISPERRBOUND_C: f64 = (71.0 + 1408.0 * EPSILON) * EPSILON * EPSILON; /// Returns a positive value if the coordinates `pa`, `pb`, and `pc` occur in counterclockwise order -/// (pc lies to the **left** of the directed line defined by coordinates pa and pb). +/// (`pc` lies to the **left** of the directed line defined by coordinates `pa` and `pb`). /// Returns a negative value if they occur in clockwise order (`pc` lies to the **right** of the directed line `pa, pb`). /// Returns `0` if they are **collinear**. pub fn orient2d>(pa: Coord, pb: Coord, pc: Coord) -> f64 { @@ -168,8 +169,8 @@ fn orient2dadapt(pa: Coord, pb: Coord, pc: Coord, detsum: f64) -> } /// Returns a positive value if the point `pd` lies below the plane passing through `pa`, `pb`, and `pc` -/// ("below" is defined so that pa, pb, and pc appear in counterclockwise order when viewed from above the plane). -/// Returns a negative value if `pd` lies above the plane +/// ("below" is defined so that `pa`, `pb`, and `pc` appear in counterclockwise order when viewed from above the plane). +/// Returns a negative value if `pd` lies above the plane. /// Returns `0` if they are **coplanar**. pub fn orient3d>( pa: Coord3D, @@ -1325,10 +1326,10 @@ fn incircleadapt( fin1[finlength - 1] } -/// Return a positive value if the point pe lies inside the sphere passing through `pa`, `pb`, `pc`, and `pd` -/// Returns a negative value if it lies outside -/// Returns `0` if the five points are **cospherical** -/// The points pa, pb, pc, and pd must be ordered so that they have a positive orientation +/// Returns a positive value if the point `pe` lies inside the sphere passing through `pa`, `pb`, `pc`, and `pd`. +/// Returns a negative value if it lies outside. +/// Returns `0` if the five points are **cospherical**. +/// **NOTE**: The points `pa`, `pb`, `pc`, and `pd` must be ordered so that they have a positive orientation. pub fn insphere>( pa: Coord3D, pb: Coord3D, @@ -2240,8 +2241,237 @@ fn abs(x: f64) -> f64 { #[cfg(test)] mod test { + + // Test fixtures are from the Staged Geometric Predicates (2001) paper by Aleksandar Nanevski et al + // Fixtures copied from https://github.com/mourner/robust-predicates/tree/main/test/fixtures + // Original location: https://www.cs.cmu.edu/afs/cs/project/pscico/pscico/src/arithmetic/compiler1/test/ + use super::{incircle, insphere, orient2d, orient3d, Coord, Coord3D}; + #[cfg(not(feature = "no_std"))] + use std::fs::File; + #[cfg(not(feature = "no_std"))] + use std::io::{self, Read}; + + #[cfg(not(feature = "no_std"))] + fn filename_to_string(s: &str) -> io::Result { + let mut file = File::open(s)?; + let mut s = String::new(); + file.read_to_string(&mut s)?; + Ok(s) + } + + #[cfg(not(feature = "no_std"))] + fn results_by_line(s: &str) -> Vec> { + s.lines() + .map(|line| { + line.split_whitespace() + .skip(1) + .map(|foo| foo.parse::().unwrap()) + .collect() + }) + .collect() + } + + #[cfg(not(feature = "no_std"))] + #[test] + fn test_orient2d_fixtures() { + let f = filename_to_string("fixtures/orient2d.txt").unwrap(); + let fixtures = results_by_line(&f); + fixtures.iter().enumerate().for_each(|(idx, fixture)| { + let ax = fixture[0]; + let ay = fixture[1]; + let bx = fixture[2]; + let by = fixture[3]; + let cx = fixture[4]; + let cy = fixture[5]; + let sign = fixture[6]; + let c1 = Coord { x: ax, y: ay }; + let c2 = Coord { x: bx, y: by }; + let c3 = Coord { x: cx, y: cy }; + let res = orient2d(c1, c2, c3); + // result sign and fixture sign should be equal + assert!( + res.signum() == sign.signum(), + "Line {line}: Result sign ({result}) and fixture sign ({sign}) should match + \nCoord 1: {c1:?}\nCoord 2: {c2:?}\nCoord 3: {c3:?}", + line = idx + 1, + result = res, + sign = sign, + c1 = c1, + c2 = c2, + c3 = c3 + ); + }) + } + + #[cfg(not(feature = "no_std"))] + #[test] + fn test_incircle_fixtures() { + let f = filename_to_string("fixtures/incircle.txt").unwrap(); + let fixtures = results_by_line(&f); + fixtures.iter().enumerate().for_each(|(idx, fixture)| { + let ax = fixture[0]; + let ay = fixture[1]; + let bx = fixture[2]; + let by = fixture[3]; + let cx = fixture[4]; + let cy = fixture[5]; + let dx = fixture[6]; + let dy = fixture[7]; + let sign = fixture[8]; + let c1 = Coord { x: ax, y: ay }; + let c2 = Coord { x: bx, y: by }; + let c3 = Coord { x: cx, y: cy }; + let c4 = Coord { x: dx, y: dy }; + let res = incircle(c1, c2, c3, c4); + assert!( + res.signum() == sign.signum(), + "Line {line}: Result sign ({result}) and fixture sign ({sign}) should match + \nCoord 1: {c1:?}\nCoord 2: {c2:?}\nCoord 3: {c3:?}\nCoord 4: {c4:?}", + line = idx + 1, + result = res, + sign = sign, + c1 = c1, + c2 = c2, + c3 = c3, + c4 = c4 + ); + }) + } + + #[cfg(not(feature = "no_std"))] + #[test] + fn test_orient3d_fixtures() { + let f = filename_to_string("fixtures/orient3d.txt").unwrap(); + let fixtures = results_by_line(&f); + fixtures.iter().enumerate().for_each(|(idx, fixture)| { + let ax = fixture[0]; + let ay = fixture[1]; + let az = fixture[2]; + + let bx = fixture[3]; + let by = fixture[4]; + let bz = fixture[5]; + + let cx = fixture[6]; + let cy = fixture[7]; + let cz = fixture[8]; + + let dx = fixture[9]; + let dy = fixture[10]; + let dz = fixture[11]; + + let sign = fixture[12]; + + let c1 = Coord3D { + x: ax, + y: ay, + z: az, + }; + let c2 = Coord3D { + x: bx, + y: by, + z: bz, + }; + let c3 = Coord3D { + x: cx, + y: cy, + z: cz, + }; + let c4 = Coord3D { + x: dx, + y: dy, + z: dz, + }; + let res = orient3d(c1, c2, c3, c4); + assert!( + res.signum() == sign.signum(), + "Line {line}: Result sign ({result}) and fixture sign ({sign}) should match + \nCoord 1: {c1:?}\nCoord 2: {c2:?}\nCoord 3: {c3:?}\nCoord 4: {c4:?}", + line = idx + 1, + result = res, + sign = sign, + c1 = c1, + c2 = c2, + c3 = c3, + c4 = c4 + ); + // symmetry + assert!(res.signum() == orient3d(c1, c2, c3, c4).signum()); + }) + } + + #[cfg(not(feature = "no_std"))] + #[test] + fn test_insphere_fixtures() { + let f = filename_to_string("fixtures/insphere.txt").unwrap(); + let fixtures = results_by_line(&f); + fixtures.iter().enumerate().for_each(|(idx, fixture)| { + let ax = fixture[0]; + let ay = fixture[1]; + let az = fixture[2]; + + let bx = fixture[3]; + let by = fixture[4]; + let bz = fixture[5]; + + let cx = fixture[6]; + let cy = fixture[7]; + let cz = fixture[8]; + + let dx = fixture[9]; + let dy = fixture[10]; + let dz = fixture[11]; + + let ex = fixture[12]; + let ey = fixture[13]; + let ez = fixture[14]; + + let sign = fixture[15]; + + let c1 = Coord3D { + x: ax, + y: ay, + z: az, + }; + let c2 = Coord3D { + x: bx, + y: by, + z: bz, + }; + let c3 = Coord3D { + x: cx, + y: cy, + z: cz, + }; + let c4 = Coord3D { + x: dx, + y: dy, + z: dz, + }; + let c5 = Coord3D { + x: ex, + y: ey, + z: ez, + }; + let res = insphere(c1, c2, c3, c4, c5); + assert!( + res.signum() == sign.signum(), + "Line {line}: Result sign ({result}) and fixture sign ({sign}) should match + \nCoord 1: {c1:?}\nCoord 2: {c2:?}\nCoord 3: {c3:?}\nCoord 4: {c4:?}\nCoord 5: {c5:?}", + line = idx + 1, + result = res, + sign = sign, + c1 = c1, + c2 = c2, + c3 = c3, + c4 = c4, + c5 = c5 + ); + }) + } + #[test] fn test_orient2d() { let from = Coord { x: -1f64, y: -1.0 };