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mesh: one transfinite interpolation for mapped hex and mesh.block; stable oracle report (#52)

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* mesh: one transfinite interpolation for mapped hex and mesh.block; stable oracle report

mesh.block's lattice is now built from the structured hex mesher's
transfinite code: faces by quad::transfinite_grid, the interior by the new
quad::transfinite_volume (Gordon-Thiel, blended by the block's graded
parameters), which hex::mapped now calls too. 2D patches are the
transfinite_grid of their sides. Edge curves return their corners exactly.

Oracle: a zero-reference quantity (rounding noise) keeps its absolute
tolerance as its fixture band, and docs/oracle.md shows such noise and
relative errors inside the fixture band as bounds, so the report no longer
changes with the order of floating-point operations (it failed the
'docs/oracle.md is current' check on main after #50). Scordelis-Lo moved by
1.4e-9 relative (an ill-conditioned thin shell of solids: sub-ulp node
changes) and is re-blessed.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01NmAttHhUZTokgPeEJia8sm

* simplify: shared face filling and lattice index; faces blended like the volume; exact ends for every edge

quad::transfinite_faces fills a block's six faces (with a per-face hook
that hex::mapped uses to project onto its B-rep faces) and
quad::lattice_index fixes the lattice layout for all three users.
transfinite_grid_blended blends faces by the block's graded parameters, so
faces and interior use one parametrisation and mesh.block reproduces its
earlier Gordon-Hall lattice (the Scordelis-Lo fixture is back to its
blessed value). Straight edges also return their corners exactly.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01NmAttHhUZTokgPeEJia8sm

---------

Co-authored-by: jyviko <2501648+jyviko@users.noreply.github.com>
Co-authored-by: Claude Opus 5.5 <noreply@anthropic.com>
This commit is contained in:
Irakli KourtisClaude Opus 5.5jyviko
 authored and GitHub committed 2026-10-13 22:50:20 -04:00
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@@ -18,19 +18,19 @@ Generated by `cargo xtask oracle` from [`tests/oracle/`](../tests/oracle/); the
| [cantilever-frequencies](../tests/oracle/cantilever-frequencies/) | the other first bending frequency | 0.012771 | 0.012751 | -0.158% | 1% | pass | matches |
| [cantilever-frequencies](../tests/oracle/cantilever-frequencies/) | second bending frequency | 0.080034 | 0.079167 | -1.08% | 2% | pass | matches |
| [cantilever-hex20](../tests/oracle/cantilever-hex20/) | tip deflection u_z at (10, 0.5, 0.5) | -4.024 | -4.0235 | 0.0131% | 0.5% | pass | matches |
| [cantilever-hex20](../tests/oracle/cantilever-hex20/) | total reaction z | 1 | 1 | 0.00000000163% | 1e-9 rel. | pass | matches |
| [cantilever-hex20](../tests/oracle/cantilever-hex20/) | total reaction z | 1 | 1 | < 1e-7% | 1e-9 rel. | pass | matches |
| [cantilever-hex8-incompatible](../tests/oracle/cantilever-hex8-incompatible/) | tip deflection u_z at (10, 0.5, 0.5) | -4.024 | -4.0175 | 0.162% | 0.5% | pass | matches |
| [cantilever-hex8-incompatible](../tests/oracle/cantilever-hex8-incompatible/) | total reaction z | 1 | 1 | -0.000000000105% | 1e-9 rel. | pass | matches |
| [cantilever-hex8-incompatible](../tests/oracle/cantilever-hex8-incompatible/) | total reaction z | 1 | 1 | < 1e-7% | 1e-9 rel. | pass | matches |
| [cantilever-tet10](../tests/oracle/cantilever-tet10/) | tip deflection u_z at (10, 0.5, 0.5) | -4.024 | -4.0233 | 0.018% | 0.5% | pass | matches |
| [cantilever-tet10](../tests/oracle/cantilever-tet10/) | total reaction z | 1 | 1 | 0.000000000951% | 1e-9 rel. | pass | matches |
| [cantilever-tet10](../tests/oracle/cantilever-tet10/) | total reaction z | 1 | 1 | < 1e-7% | 1e-9 rel. | pass | matches |
| [cdt-cylinder](../tests/oracle/cdt-cylinder/) | volume of the tetrahedra | 6267.5 | 6266.5 | -0.0152% | 0.25% | pass | matches |
| [cdt-cylinder](../tests/oracle/cdt-cylinder/) | elements that fail the certified Jacobian check | 0 | 0 | < 1e-12 | exact | pass | matches |
| [cdt-stepped-block](../tests/oracle/cdt-stepped-block/) | volume of the tetrahedra | 47000 | 47000 | < 1e-10% | 1e-12 rel. | pass | matches |
| [cdt-stepped-block](../tests/oracle/cdt-stepped-block/) | elements that fail the certified Jacobian check | 0 | 0 | < 1e-12 | exact | pass | matches |
| [cdt-stepped-block](../tests/oracle/cdt-stepped-block/) | elements the Jacobian check could not decide | 0 | 0 | < 1e-12 | exact | pass | matches |
| [free-beam-frequencies](../tests/oracle/free-beam-frequencies/) | sixth frequency (the last rigid-body mode) | 0 | 8.7018e-8 | 8.7e-8 | ± 8.1264e-5 | pass | matches |
| [cdt-cylinder](../tests/oracle/cdt-cylinder/) | elements that fail the certified Jacobian check | 0 | 0 | ≈ 0 | exact | pass | matches |
| [cdt-stepped-block](../tests/oracle/cdt-stepped-block/) | volume of the tetrahedra | 47000 | 47000 | < 1e-7% | 1e-12 rel. | pass | matches |
| [cdt-stepped-block](../tests/oracle/cdt-stepped-block/) | elements that fail the certified Jacobian check | 0 | 0 | ≈ 0 | exact | pass | matches |
| [cdt-stepped-block](../tests/oracle/cdt-stepped-block/) | elements the Jacobian check could not decide | 0 | 0 | ≈ 0 | exact | pass | matches |
| [free-beam-frequencies](../tests/oracle/free-beam-frequencies/) | sixth frequency (the last rigid-body mode) | 0 | ≈ 0 | ≈ 0 | ± 8.1264e-5 | pass | matches |
| [free-beam-frequencies](../tests/oracle/free-beam-frequencies/) | first free–free bending frequency (mode 7) | 0.081264 | 0.080618 | -0.795% | 1.5% | pass | matches |
| [free-beam-frequencies](../tests/oracle/free-beam-frequencies/) | total mass | 20 | 20 | < 1e-10% | 1e-12 rel. | pass | matches |
| [free-beam-frequencies](../tests/oracle/free-beam-frequencies/) | total mass | 20 | 20 | < 1e-7% | 1e-12 rel. | pass | matches |
| [j2-uniaxial-explicit](../tests/oracle/j2-uniaxial-explicit/) | axial Cauchy stress at a logarithmic strain of 0.2 | 643.56 | 643.57 | 0.000174% | 1% | pass | matches |
| [j2-uniaxial-explicit](../tests/oracle/j2-uniaxial-explicit/) | equivalent plastic strain | 0.19678 | 0.19678 | -0.00000113% | 1% | pass | matches |
| [kirsch-plate](../tests/oracle/kirsch-plate/) | σ_xx at the top of the hole (0, 1, 0) over the remote stress | 3 | 3.0121 | 0.402% | 2% | pass | matches |
@@ -47,55 +47,55 @@ Generated by `cargo xtask oracle` from [`tests/oracle/`](../tests/oracle/); the
| [lame-cylinder-plane-strain](../tests/oracle/lame-cylinder-plane-strain/) | radial displacement at the bore (10, 0) | 0.0090794 | 0.0090793 | -0.000267% | 0.1% | pass | matches |
| [lame-cylinder-plane-strain](../tests/oracle/lame-cylinder-plane-strain/) | hoop stress σ_θ = σ_yy at the bore (10, 0) | 166.67 | 166.36 | -0.183% | 1% | pass | matches |
| [lame-cylinder-plane-strain](../tests/oracle/lame-cylinder-plane-strain/) | axial stress σ_zz = 2νA at the bore (plane strain) | 20 | 20.083 | 0.415% | 1% | pass | matches |
| [patch-hex20](../tests/oracle/patch-hex20/) | u_x at the corner (1, 1, 1) | -2.5000e-4 | -2.5000e-4 | < 1e-10% | 1e-9 rel. | pass | matches |
| [patch-hex20](../tests/oracle/patch-hex20/) | u_y at the corner (1, 1, 1) | 0.001 | 0.001 | < 1e-10% | 1e-9 rel. | pass | matches |
| [patch-hex20](../tests/oracle/patch-hex20/) | u_z at the corner (1, 1, 1) | 0.00225 | 0.00225 | < 1e-10% | 1e-9 rel. | pass | matches |
| [patch-hex20](../tests/oracle/patch-hex20/) | σ_xx at the inner node (0.46, 0.55, 0.53) | 1 | 1 | < 1e-10% | 1e-9 rel. | pass | matches |
| [patch-hex20](../tests/oracle/patch-hex20/) | σ_yy at the inner node (0.46, 0.55, 0.53) | 2 | 2 | < 1e-10% | 1e-9 rel. | pass | matches |
| [patch-hex20](../tests/oracle/patch-hex20/) | σ_zz at the inner node (0.46, 0.55, 0.53) | 3 | 3 | < 1e-10% | 1e-9 rel. | pass | matches |
| [patch-hex20](../tests/oracle/patch-hex20/) | σ_xy at the inner node | 0 | -1.4384e-15 | < 1e-12 | ± 1.0000e-9 | pass | matches |
| [patch-hex20-reduced](../tests/oracle/patch-hex20-reduced/) | u_x at the corner (1, 1, 1) | -2.5000e-4 | -2.5000e-4 | < 1e-10% | 1e-9 rel. | pass | matches |
| [patch-hex20-reduced](../tests/oracle/patch-hex20-reduced/) | u_y at the corner (1, 1, 1) | 0.001 | 0.001 | < 1e-10% | 1e-9 rel. | pass | matches |
| [patch-hex20-reduced](../tests/oracle/patch-hex20-reduced/) | u_z at the corner (1, 1, 1) | 0.00225 | 0.00225 | < 1e-10% | 1e-9 rel. | pass | matches |
| [patch-hex20-reduced](../tests/oracle/patch-hex20-reduced/) | σ_xx at the inner node (0.46, 0.55, 0.53) | 1 | 1 | < 1e-10% | 1e-9 rel. | pass | matches |
| [patch-hex20-reduced](../tests/oracle/patch-hex20-reduced/) | σ_yy at the inner node (0.46, 0.55, 0.53) | 2 | 2 | < 1e-10% | 1e-9 rel. | pass | matches |
| [patch-hex20-reduced](../tests/oracle/patch-hex20-reduced/) | σ_zz at the inner node (0.46, 0.55, 0.53) | 3 | 3 | < 1e-10% | 1e-9 rel. | pass | matches |
| [patch-hex20-reduced](../tests/oracle/patch-hex20-reduced/) | σ_xy at the inner node | 0 | -8.3837e-16 | < 1e-12 | ± 1.0000e-9 | pass | matches |
| [patch-hex8](../tests/oracle/patch-hex8/) | u_x at the corner (1, 1, 1) | -2.5000e-4 | -2.5000e-4 | < 1e-10% | 1e-9 rel. | pass | matches |
| [patch-hex8](../tests/oracle/patch-hex8/) | u_y at the corner (1, 1, 1) | 0.001 | 1.0000e-3 | < 1e-10% | 1e-9 rel. | pass | matches |
| [patch-hex8](../tests/oracle/patch-hex8/) | u_z at the corner (1, 1, 1) | 0.00225 | 0.00225 | < 1e-10% | 1e-9 rel. | pass | matches |
| [patch-hex8](../tests/oracle/patch-hex8/) | σ_xx at the inner node (0.46, 0.55, 0.53) | 1 | 1 | < 1e-10% | 1e-9 rel. | pass | matches |
| [patch-hex8](../tests/oracle/patch-hex8/) | σ_yy at the inner node (0.46, 0.55, 0.53) | 2 | 2 | < 1e-10% | 1e-9 rel. | pass | matches |
| [patch-hex8](../tests/oracle/patch-hex8/) | σ_zz at the inner node (0.46, 0.55, 0.53) | 3 | 3 | < 1e-10% | 1e-9 rel. | pass | matches |
| [patch-hex8](../tests/oracle/patch-hex8/) | σ_xy at the inner node | 0 | -2.1482e-16 | < 1e-12 | ± 1.0000e-9 | pass | matches |
| [patch-hex8-incompatible](../tests/oracle/patch-hex8-incompatible/) | u_x at the corner (1, 1, 1) | -2.5000e-4 | -2.5000e-4 | < 1e-10% | 1e-9 rel. | pass | matches |
| [patch-hex8-incompatible](../tests/oracle/patch-hex8-incompatible/) | u_y at the corner (1, 1, 1) | 0.001 | 1.0000e-3 | < 1e-10% | 1e-9 rel. | pass | matches |
| [patch-hex8-incompatible](../tests/oracle/patch-hex8-incompatible/) | u_z at the corner (1, 1, 1) | 0.00225 | 0.00225 | < 1e-10% | 1e-9 rel. | pass | matches |
| [patch-hex8-incompatible](../tests/oracle/patch-hex8-incompatible/) | σ_xx at the inner node (0.46, 0.55, 0.53) | 1 | 1 | < 1e-10% | 1e-9 rel. | pass | matches |
| [patch-hex8-incompatible](../tests/oracle/patch-hex8-incompatible/) | σ_yy at the inner node (0.46, 0.55, 0.53) | 2 | 2 | < 1e-10% | 1e-9 rel. | pass | matches |
| [patch-hex8-incompatible](../tests/oracle/patch-hex8-incompatible/) | σ_zz at the inner node (0.46, 0.55, 0.53) | 3 | 3 | < 1e-10% | 1e-9 rel. | pass | matches |
| [patch-hex8-incompatible](../tests/oracle/patch-hex8-incompatible/) | σ_xy at the inner node | 0 | -1.4072e-16 | < 1e-12 | ± 1.0000e-9 | pass | matches |
| [patch-tet10](../tests/oracle/patch-tet10/) | u_x at the corner (1, 1, 1) | -2.5000e-4 | -2.5000e-4 | < 1e-10% | 1e-9 rel. | pass | matches |
| [patch-tet10](../tests/oracle/patch-tet10/) | u_y at the corner (1, 1, 1) | 0.001 | 1.0000e-3 | < 1e-10% | 1e-9 rel. | pass | matches |
| [patch-tet10](../tests/oracle/patch-tet10/) | u_z at the corner (1, 1, 1) | 0.00225 | 0.00225 | < 1e-10% | 1e-9 rel. | pass | matches |
| [patch-tet10](../tests/oracle/patch-tet10/) | σ_xx at the inner node (0.46, 0.55, 0.53) | 1 | 1 | < 1e-10% | 1e-9 rel. | pass | matches |
| [patch-tet10](../tests/oracle/patch-tet10/) | σ_yy at the inner node (0.46, 0.55, 0.53) | 2 | 2 | < 1e-10% | 1e-9 rel. | pass | matches |
| [patch-tet10](../tests/oracle/patch-tet10/) | σ_zz at the inner node (0.46, 0.55, 0.53) | 3 | 3 | < 1e-10% | 1e-9 rel. | pass | matches |
| [patch-tet10](../tests/oracle/patch-tet10/) | σ_xy at the inner node | 0 | -2.6049e-16 | < 1e-12 | ± 1.0000e-9 | pass | matches |
| [patch-tet4](../tests/oracle/patch-tet4/) | u_x at the corner (1, 1, 1) | -2.5000e-4 | -2.5000e-4 | < 1e-10% | 1e-9 rel. | pass | matches |
| [patch-tet4](../tests/oracle/patch-tet4/) | u_y at the corner (1, 1, 1) | 0.001 | 1.0000e-3 | < 1e-10% | 1e-9 rel. | pass | matches |
| [patch-tet4](../tests/oracle/patch-tet4/) | u_z at the corner (1, 1, 1) | 0.00225 | 0.00225 | < 1e-10% | 1e-9 rel. | pass | matches |
| [patch-tet4](../tests/oracle/patch-tet4/) | σ_xx at the inner node (0.46, 0.55, 0.53) | 1 | 1 | < 1e-10% | 1e-9 rel. | pass | matches |
| [patch-tet4](../tests/oracle/patch-tet4/) | σ_yy at the inner node (0.46, 0.55, 0.53) | 2 | 2 | < 1e-10% | 1e-9 rel. | pass | matches |
| [patch-tet4](../tests/oracle/patch-tet4/) | σ_zz at the inner node (0.46, 0.55, 0.53) | 3 | 3 | < 1e-10% | 1e-9 rel. | pass | matches |
| [patch-tet4](../tests/oracle/patch-tet4/) | σ_xy at the inner node | 0 | -8.6087e-17 | < 1e-12 | ± 1.0000e-9 | pass | matches |
| [patch-wedge6](../tests/oracle/patch-wedge6/) | u_x at the corner (1, 1, 1) | -2.5000e-4 | -2.5000e-4 | < 1e-10% | 1e-9 rel. | pass | matches |
| [patch-wedge6](../tests/oracle/patch-wedge6/) | u_y at the corner (1, 1, 1) | 0.001 | 0.001 | < 1e-10% | 1e-9 rel. | pass | matches |
| [patch-wedge6](../tests/oracle/patch-wedge6/) | u_z at the corner (1, 1, 1) | 0.00225 | 0.00225 | < 1e-10% | 1e-9 rel. | pass | matches |
| [patch-wedge6](../tests/oracle/patch-wedge6/) | σ_xx at the inner node (0.46, 0.55, 0.53) | 1 | 1 | < 1e-10% | 1e-9 rel. | pass | matches |
| [patch-wedge6](../tests/oracle/patch-wedge6/) | σ_yy at the inner node (0.46, 0.55, 0.53) | 2 | 2 | < 1e-10% | 1e-9 rel. | pass | matches |
| [patch-wedge6](../tests/oracle/patch-wedge6/) | σ_zz at the inner node (0.46, 0.55, 0.53) | 3 | 3 | < 1e-10% | 1e-9 rel. | pass | matches |
| [patch-wedge6](../tests/oracle/patch-wedge6/) | σ_xy at the inner node | 0 | 3.8728e-17 | < 1e-12 | ± 1.0000e-9 | pass | matches |
| [patch-hex20](../tests/oracle/patch-hex20/) | u_x at the corner (1, 1, 1) | -2.5000e-4 | -2.5000e-4 | < 1e-7% | 1e-9 rel. | pass | matches |
| [patch-hex20](../tests/oracle/patch-hex20/) | u_y at the corner (1, 1, 1) | 0.001 | 0.001 | < 1e-7% | 1e-9 rel. | pass | matches |
| [patch-hex20](../tests/oracle/patch-hex20/) | u_z at the corner (1, 1, 1) | 0.00225 | 0.00225 | < 1e-7% | 1e-9 rel. | pass | matches |
| [patch-hex20](../tests/oracle/patch-hex20/) | σ_xx at the inner node (0.46, 0.55, 0.53) | 1 | 1 | < 1e-7% | 1e-9 rel. | pass | matches |
| [patch-hex20](../tests/oracle/patch-hex20/) | σ_yy at the inner node (0.46, 0.55, 0.53) | 2 | 2 | < 1e-7% | 1e-9 rel. | pass | matches |
| [patch-hex20](../tests/oracle/patch-hex20/) | σ_zz at the inner node (0.46, 0.55, 0.53) | 3 | 3 | < 1e-7% | 1e-9 rel. | pass | matches |
| [patch-hex20](../tests/oracle/patch-hex20/) | σ_xy at the inner node | 0 | ≈ 0 | ≈ 0 | ± 1.0000e-9 | pass | matches |
| [patch-hex20-reduced](../tests/oracle/patch-hex20-reduced/) | u_x at the corner (1, 1, 1) | -2.5000e-4 | -2.5000e-4 | < 1e-7% | 1e-9 rel. | pass | matches |
| [patch-hex20-reduced](../tests/oracle/patch-hex20-reduced/) | u_y at the corner (1, 1, 1) | 0.001 | 1.0000e-3 | < 1e-7% | 1e-9 rel. | pass | matches |
| [patch-hex20-reduced](../tests/oracle/patch-hex20-reduced/) | u_z at the corner (1, 1, 1) | 0.00225 | 0.00225 | < 1e-7% | 1e-9 rel. | pass | matches |
| [patch-hex20-reduced](../tests/oracle/patch-hex20-reduced/) | σ_xx at the inner node (0.46, 0.55, 0.53) | 1 | 1 | < 1e-7% | 1e-9 rel. | pass | matches |
| [patch-hex20-reduced](../tests/oracle/patch-hex20-reduced/) | σ_yy at the inner node (0.46, 0.55, 0.53) | 2 | 2 | < 1e-7% | 1e-9 rel. | pass | matches |
| [patch-hex20-reduced](../tests/oracle/patch-hex20-reduced/) | σ_zz at the inner node (0.46, 0.55, 0.53) | 3 | 3 | < 1e-7% | 1e-9 rel. | pass | matches |
| [patch-hex20-reduced](../tests/oracle/patch-hex20-reduced/) | σ_xy at the inner node | 0 | ≈ 0 | ≈ 0 | ± 1.0000e-9 | pass | matches |
| [patch-hex8](../tests/oracle/patch-hex8/) | u_x at the corner (1, 1, 1) | -2.5000e-4 | -2.5000e-4 | < 1e-7% | 1e-9 rel. | pass | matches |
| [patch-hex8](../tests/oracle/patch-hex8/) | u_y at the corner (1, 1, 1) | 0.001 | 0.001 | < 1e-7% | 1e-9 rel. | pass | matches |
| [patch-hex8](../tests/oracle/patch-hex8/) | u_z at the corner (1, 1, 1) | 0.00225 | 0.00225 | < 1e-7% | 1e-9 rel. | pass | matches |
| [patch-hex8](../tests/oracle/patch-hex8/) | σ_xx at the inner node (0.46, 0.55, 0.53) | 1 | 1 | < 1e-7% | 1e-9 rel. | pass | matches |
| [patch-hex8](../tests/oracle/patch-hex8/) | σ_yy at the inner node (0.46, 0.55, 0.53) | 2 | 2 | < 1e-7% | 1e-9 rel. | pass | matches |
| [patch-hex8](../tests/oracle/patch-hex8/) | σ_zz at the inner node (0.46, 0.55, 0.53) | 3 | 3 | < 1e-7% | 1e-9 rel. | pass | matches |
| [patch-hex8](../tests/oracle/patch-hex8/) | σ_xy at the inner node | 0 | ≈ 0 | ≈ 0 | ± 1.0000e-9 | pass | matches |
| [patch-hex8-incompatible](../tests/oracle/patch-hex8-incompatible/) | u_x at the corner (1, 1, 1) | -2.5000e-4 | -2.5000e-4 | < 1e-7% | 1e-9 rel. | pass | matches |
| [patch-hex8-incompatible](../tests/oracle/patch-hex8-incompatible/) | u_y at the corner (1, 1, 1) | 0.001 | 0.001 | < 1e-7% | 1e-9 rel. | pass | matches |
| [patch-hex8-incompatible](../tests/oracle/patch-hex8-incompatible/) | u_z at the corner (1, 1, 1) | 0.00225 | 0.00225 | < 1e-7% | 1e-9 rel. | pass | matches |
| [patch-hex8-incompatible](../tests/oracle/patch-hex8-incompatible/) | σ_xx at the inner node (0.46, 0.55, 0.53) | 1 | 1 | < 1e-7% | 1e-9 rel. | pass | matches |
| [patch-hex8-incompatible](../tests/oracle/patch-hex8-incompatible/) | σ_yy at the inner node (0.46, 0.55, 0.53) | 2 | 2 | < 1e-7% | 1e-9 rel. | pass | matches |
| [patch-hex8-incompatible](../tests/oracle/patch-hex8-incompatible/) | σ_zz at the inner node (0.46, 0.55, 0.53) | 3 | 3 | < 1e-7% | 1e-9 rel. | pass | matches |
| [patch-hex8-incompatible](../tests/oracle/patch-hex8-incompatible/) | σ_xy at the inner node | 0 | ≈ 0 | ≈ 0 | ± 1.0000e-9 | pass | matches |
| [patch-tet10](../tests/oracle/patch-tet10/) | u_x at the corner (1, 1, 1) | -2.5000e-4 | -2.5000e-4 | < 1e-7% | 1e-9 rel. | pass | matches |
| [patch-tet10](../tests/oracle/patch-tet10/) | u_y at the corner (1, 1, 1) | 0.001 | 1.0000e-3 | < 1e-7% | 1e-9 rel. | pass | matches |
| [patch-tet10](../tests/oracle/patch-tet10/) | u_z at the corner (1, 1, 1) | 0.00225 | 0.00225 | < 1e-7% | 1e-9 rel. | pass | matches |
| [patch-tet10](../tests/oracle/patch-tet10/) | σ_xx at the inner node (0.46, 0.55, 0.53) | 1 | 1 | < 1e-7% | 1e-9 rel. | pass | matches |
| [patch-tet10](../tests/oracle/patch-tet10/) | σ_yy at the inner node (0.46, 0.55, 0.53) | 2 | 2 | < 1e-7% | 1e-9 rel. | pass | matches |
| [patch-tet10](../tests/oracle/patch-tet10/) | σ_zz at the inner node (0.46, 0.55, 0.53) | 3 | 3 | < 1e-7% | 1e-9 rel. | pass | matches |
| [patch-tet10](../tests/oracle/patch-tet10/) | σ_xy at the inner node | 0 | ≈ 0 | ≈ 0 | ± 1.0000e-9 | pass | matches |
| [patch-tet4](../tests/oracle/patch-tet4/) | u_x at the corner (1, 1, 1) | -2.5000e-4 | -2.5000e-4 | < 1e-7% | 1e-9 rel. | pass | matches |
| [patch-tet4](../tests/oracle/patch-tet4/) | u_y at the corner (1, 1, 1) | 0.001 | 1.0000e-3 | < 1e-7% | 1e-9 rel. | pass | matches |
| [patch-tet4](../tests/oracle/patch-tet4/) | u_z at the corner (1, 1, 1) | 0.00225 | 0.00225 | < 1e-7% | 1e-9 rel. | pass | matches |
| [patch-tet4](../tests/oracle/patch-tet4/) | σ_xx at the inner node (0.46, 0.55, 0.53) | 1 | 1 | < 1e-7% | 1e-9 rel. | pass | matches |
| [patch-tet4](../tests/oracle/patch-tet4/) | σ_yy at the inner node (0.46, 0.55, 0.53) | 2 | 2 | < 1e-7% | 1e-9 rel. | pass | matches |
| [patch-tet4](../tests/oracle/patch-tet4/) | σ_zz at the inner node (0.46, 0.55, 0.53) | 3 | 3 | < 1e-7% | 1e-9 rel. | pass | matches |
| [patch-tet4](../tests/oracle/patch-tet4/) | σ_xy at the inner node | 0 | ≈ 0 | ≈ 0 | ± 1.0000e-9 | pass | matches |
| [patch-wedge6](../tests/oracle/patch-wedge6/) | u_x at the corner (1, 1, 1) | -2.5000e-4 | -2.5000e-4 | < 1e-7% | 1e-9 rel. | pass | matches |
| [patch-wedge6](../tests/oracle/patch-wedge6/) | u_y at the corner (1, 1, 1) | 0.001 | 0.001 | < 1e-7% | 1e-9 rel. | pass | matches |
| [patch-wedge6](../tests/oracle/patch-wedge6/) | u_z at the corner (1, 1, 1) | 0.00225 | 0.00225 | < 1e-7% | 1e-9 rel. | pass | matches |
| [patch-wedge6](../tests/oracle/patch-wedge6/) | σ_xx at the inner node (0.46, 0.55, 0.53) | 1 | 1 | < 1e-7% | 1e-9 rel. | pass | matches |
| [patch-wedge6](../tests/oracle/patch-wedge6/) | σ_yy at the inner node (0.46, 0.55, 0.53) | 2 | 2 | < 1e-7% | 1e-9 rel. | pass | matches |
| [patch-wedge6](../tests/oracle/patch-wedge6/) | σ_zz at the inner node (0.46, 0.55, 0.53) | 3 | 3 | < 1e-7% | 1e-9 rel. | pass | matches |
| [patch-wedge6](../tests/oracle/patch-wedge6/) | σ_xy at the inner node | 0 | ≈ 0 | ≈ 0 | ± 1.0000e-9 | pass | matches |
| [pure-bending-coupling](../tests/oracle/pure-bending-coupling/) | bending stress σ_xx at mid-span, top fibre (10, 0.5, 1) | 15 | 15 | -0.0000103% | 0.5% | pass | matches |
| [pure-bending-coupling](../tests/oracle/pure-bending-coupling/) | rotation of the reference point about y | 0.3 | 0.30355 | 1.18% | 1% | known failure: 1.2% high: the distributing coupling weights every node of the end face equally, corner and mid-side nodes of hex20 alike, which is not the consistent linear traction; the end face deforms locally and the fitted rotation includes it. Area-consistent weights would remove it | — |
| [rotating-cylinder-axisymmetric](../tests/oracle/rotating-cylinder-axisymmetric/) | radial stress σ_r on the axis (r = 0) | 0.38571 | 0.38608 | 0.0958% | 1% | pass | matches |
@@ -112,13 +112,13 @@ Generated by `cargo xtask oracle` from [`tests/oracle/`](../tests/oracle/); the
|---|---|---|---|---|---|---|---|
| [mh-curved-cantilever](../tests/oracle/mh-curved-cantilever/) | tip displacement along the in-plane load | 0.08734 | 0.076833 | -12% | 2% | known failure: 0.880 of the theory, grade C: straight-sided hex8 on six elements over 90° (MacNeal–Harder's HEXA(8): 0.880, Table 9 p. 15) | — |
| [mh-curved-cantilever](../tests/oracle/mh-curved-cantilever/) | tip displacement along the out-of-plane load | 0.5022 | 0.40095 | -20.2% | 2% | known failure: 0.798 of the theory, grade D: out-of-plane bending with torsion on one element across (MacNeal–Harder's HEXA(8): 0.849) | — |
| [mh-solid-patch](../tests/oracle/mh-solid-patch/) | σ_xx at inner node 7 (0.788, 0.693, 0.644) | 2000 | 2000 | < 1e-10% | 1e-9 rel. | pass | matches |
| [mh-solid-patch](../tests/oracle/mh-solid-patch/) | σ_yy at inner node 7 (0.788, 0.693, 0.644) | 2000 | 2000 | < 1e-10% | 1e-9 rel. | pass | matches |
| [mh-solid-patch](../tests/oracle/mh-solid-patch/) | σ_zz at inner node 7 (0.788, 0.693, 0.644) | 2000 | 2000 | < 1e-10% | 1e-9 rel. | pass | matches |
| [mh-solid-patch](../tests/oracle/mh-solid-patch/) | τ_xy at inner node 7 | 400 | 400 | < 1e-10% | 1e-9 rel. | pass | matches |
| [mh-solid-patch](../tests/oracle/mh-solid-patch/) | τ_xz at inner node 7 | 400 | 400 | < 1e-10% | 1e-9 rel. | pass | matches |
| [mh-solid-patch](../tests/oracle/mh-solid-patch/) | τ_yz at inner node 7 | 400 | 400 | < 1e-10% | 1e-9 rel. | pass | matches |
| [mh-solid-patch](../tests/oracle/mh-solid-patch/) | u_x at inner node 7 | 0.0014565 | 0.0014565 | < 1e-10% | 1e-9 rel. | pass | matches |
| [mh-solid-patch](../tests/oracle/mh-solid-patch/) | σ_xx at inner node 7 (0.788, 0.693, 0.644) | 2000 | 2000 | < 1e-7% | 1e-9 rel. | pass | matches |
| [mh-solid-patch](../tests/oracle/mh-solid-patch/) | σ_yy at inner node 7 (0.788, 0.693, 0.644) | 2000 | 2000 | < 1e-7% | 1e-9 rel. | pass | matches |
| [mh-solid-patch](../tests/oracle/mh-solid-patch/) | σ_zz at inner node 7 (0.788, 0.693, 0.644) | 2000 | 2000 | < 1e-7% | 1e-9 rel. | pass | matches |
| [mh-solid-patch](../tests/oracle/mh-solid-patch/) | τ_xy at inner node 7 | 400 | 400 | < 1e-7% | 1e-9 rel. | pass | matches |
| [mh-solid-patch](../tests/oracle/mh-solid-patch/) | τ_xz at inner node 7 | 400 | 400 | < 1e-7% | 1e-9 rel. | pass | matches |
| [mh-solid-patch](../tests/oracle/mh-solid-patch/) | τ_yz at inner node 7 | 400 | 400 | < 1e-7% | 1e-9 rel. | pass | matches |
| [mh-solid-patch](../tests/oracle/mh-solid-patch/) | u_x at inner node 7 | 0.0014565 | 0.0014565 | < 1e-7% | 1e-9 rel. | pass | matches |
| [mh-straight-cantilever](../tests/oracle/mh-straight-cantilever/) | tip displacement along the load, extension | 3.0000e-5 | 2.9629e-5 | -1.24% | 2% | pass | matches |
| [mh-straight-cantilever](../tests/oracle/mh-straight-cantilever/) | tip displacement along the load, in-plane shear (width 0.2) | 0.1081 | 0.10574 | -2.18% | 2% | known failure: 0.978 of the theory, grade B: one hex8 with incompatible modes through the depth of the prescribed mesh (MacNeal–Harder's HEXA(8): 0.981, Table 8(a) p. 15); refined meshes converge (cantilever-hex8-incompatible) | — |
| [mh-straight-cantilever](../tests/oracle/mh-straight-cantilever/) | tip displacement along the load, out-of-plane shear (depth 0.1) | 0.4321 | 0.42037 | -2.71% | 2% | known failure: 0.973 of the theory, grade B, as for in-plane shear (MacNeal–Harder's HEXA(8): 0.981) | — |
docs/verification.md
+2 -1
View File
@@ -63,7 +63,8 @@ cargo xtask oracle --quick # skip cases marked "slow"
A tolerance is `relative` (of the reference), `absolute`, both, or `"exact": true`. A pending
case cites its reference values (or `null` until transcribed) and has no recipe yet.
- `fixture.json` holds each passing quantity's accepted `value` and its `band`
(10⁻⁹ of the larger of value and reference, plus 10⁻³ of an absolute tolerance): the result is
(10⁻⁹ of the larger of value and reference, plus 10⁻³ of an absolute tolerance; a quantity whose
reference is zero, which is rounding noise, keeps its absolute tolerance as its band): the result is
deterministic, the band only absorbs last-digit differences of the system maths library.
The run fails when a quantity misses its reference (unless it is a `known_failure`, which is