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forward-mode jacobian aborts for mappings R^n -> R^m with m != n - #3386

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fix/fwd-mode-jacobian
Sep 8, 2026
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forward-mode jacobian aborts for mappings R^n -> R^m with m != n#3386
WardBrian merged 3 commits into
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fix/fwd-mode-jacobian

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@SteveBronder

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Summary

Fixes #3385

Tests

red/green test for showing the issue and then resolving it.

./runTests.py test/unit/math/fwd/functor/jacobian_test.cpp

Checklist

  • Copyright holder: Steve Bronder

    The copyright holder is typically you or your assignee, such as a university or company. By submitting this pull request, the copyright holder is agreeing to the license the submitted work under the following licenses:
    - Code: BSD 3-clause (https://opensource.org/licenses/BSD-3-Clause)
    - Documentation: CC-BY 4.0 (https://creativecommons.org/licenses/by/4.0/)

  • the basic tests are passing

    • unit tests pass (to run, use: ./runTests.py test/unit)
    • header checks pass, (make test-headers)
    • dependencies checks pass, (make test-math-dependencies)
    • docs build, (make doxygen)
    • code passes the built in C++ standards checks (make cpplint)
  • the code is written in idiomatic C++ and changes are documented in the doxygen

  • the new changes are tested

Regression tests for #3385. Both fail against develop, aborting inside
jacobian() before reaching any assertion:

  Assertion failed: (rows == this->rows() && cols == this->cols() &&
  "DenseBase::resize() does not actually allow to resize.")

The fwd jacobian sizes J as n x n and fx as n from the input before
evaluating f, so J.col(0) = fx_fvar.d() assigns an m-vector into an
n-row column whenever m != n.

Existing coverage in test/unit/math/mix/functor/autodiff_test.cpp only
uses an R^2 -> R^2 functor, where m == n masks the mis-sizing entirely.
These cover both directions: R^2 -> R^3 (more outputs than inputs, the
case forward mode is actually cheaper for) and R^3 -> R^2, each checked
against a hand-computed Jacobian.

The tests live in fwd/ and include only stan/math/fwd.hpp, which is also
the realistic reproduction path: with rev in scope the rev overload wins
partial ordering and handles these functors correctly.
The fwd jacobian sized both outputs from the domain before f was ever
applied, so the range dimension m was simply assumed equal to n:

    J.resize(x_fvar.size(), x.size());
    fx.resize(x_fvar.size());
    ...
    Matrix<fvar<T>, Dynamic, 1> fx_fvar = f(x_fvar);
    J.col(0) = fx_fvar.d();

For m != n that assigns an m-vector into an n-row column. Move the
J.resize below the call to f and take its rows from fx_fvar.size(),
which mirrors what the rev implementation already does.

The fx.resize is dropped rather than moved: fx = fx_fvar.val() is a
full-matrix assignment that resizes on its own, which is why fx.size()
came out correct even in the aborting runs. Moving it would only have
restated that.

Failure modes before the fix, both directions, with a functor that is
not square:

  assertions on (math's own build never defines NDEBUG) - abort.

  -DNDEBUG, m > n - Eigen's assignment loop bounds on the destination
  block, so the copy truncates: J stays n x n and holds a partial
  Jacobian. Silent wrong answer, no out-of-bounds access.

  -DNDEBUG, m < n - the same destination bound reads past the source
  temporary. ASan reports a heap-buffer-overflow READ at jacobian.hpp:25,
  8 bytes past fx_fvar.

Note that this narrows the issue's description: there is no write past
J's storage in either direction, so no heap corruption.

No signature change, so overload resolution is untouched and the eight
in-tree callers (all in rev/functor, all resolving to the rev overload,
and all square) are unaffected. Verified with ASan clean in both
directions, agreement with the rev overload on the same functor, the
higher-order T = fvar<double> instantiation, the fwd/functor suite,
mix/functor/autodiff_test, and rev/functor/algebra_solver_fp_test.

Closes #3385

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Fix seems simple enough! Hilarious that the LLM thinks it's worth writing ~400 words worth of commit messages for.

@stan-buildbot

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Name Old Result New Result Ratio Performance change( 1 - new / old )
stat_comp_benchmarks/benchmarks/low_dim_gauss_mix_collapse/low_dim_gauss_mix_collapse.stan 8.38 8.27 1.01 1.39% faster
stat_comp_benchmarks/benchmarks/gp_pois_regr/gp_pois_regr.stan 2.26 2.23 1.01 1.04% faster
stat_comp_benchmarks/benchmarks/eight_schools/eight_schools.stan 0.06 0.06 1.0 -0.29% slower
stat_comp_benchmarks/benchmarks/irt_2pl/irt_2pl.stan 4.9 4.67 1.05 4.77% faster
stat_comp_benchmarks/benchmarks/garch/garch.stan 0.44 0.43 1.03 2.82% faster
stat_comp_benchmarks/benchmarks/low_dim_gauss_mix/low_dim_gauss_mix.stan 2.7 2.7 1.0 0.25% faster
stat_comp_benchmarks/benchmarks/pkpd/sim_one_comp_mm_elim_abs.stan 0.25 0.24 1.02 1.75% faster
stat_comp_benchmarks/benchmarks/pkpd/one_comp_mm_elim_abs.stan 19.28 19.19 1.0 0.49% faster
stat_comp_benchmarks/benchmarks/gp_regr/gen_gp_data.stan 0.03 0.02 1.03 2.62% faster
stat_comp_benchmarks/benchmarks/gp_regr/gp_regr.stan 0.1 0.1 1.03 2.71% faster
stat_comp_benchmarks/benchmarks/sir/sir.stan 67.24 65.73 1.02 2.25% faster
stat_comp_benchmarks/benchmarks/arK/arK.stan 1.58 1.55 1.02 1.73% faster
stat_comp_benchmarks/benchmarks/low_dim_corr_gauss/low_dim_corr_gauss.stan 0.01 0.01 0.96 -3.65% slower
stat_comp_benchmarks/benchmarks/arma/arma.stan 0.29 0.28 1.02 1.51% faster
performance.compilation 250.98 254.79 0.99 -1.52% slower
Mean result: 1.0124537735561996

Jenkins Console Log
Jenkins Build Stages
Commit hash: 0dcb68f700ea1a2acf9e34d7dc6267aecbbb90da

Machine information
Distributor ID:	Ubuntu
Description:	Ubuntu 20.04.3 LTS
Release:	20.04
Codename:	focal

CPU:

Architecture:                            x86_64
CPU op-mode(s):                          32-bit, 64-bit
Byte Order:                              Little Endian
Address sizes:                           46 bits physical, 48 bits virtual
CPU(s):                                  80
On-line CPU(s) list:                     0-79
Thread(s) per core:                      2
Core(s) per socket:                      20
Socket(s):                               2
NUMA node(s):                            2
Vendor ID:                               GenuineIntel
CPU family:                              6
Model:                                   85
Model name:                              Intel(R) Xeon(R) Gold 6248 CPU @ 2.50GHz
Stepping:                                7
CPU MHz:                                 1000.033
CPU max MHz:                             3900.0000
CPU min MHz:                             1000.0000
BogoMIPS:                                5000.00
Virtualization:                          VT-x
L1d cache:                               1.3 MiB
L1i cache:                               1.3 MiB
L2 cache:                                40 MiB
L3 cache:                                55 MiB
NUMA node0 CPU(s):                       0,2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48,50,52,54,56,58,60,62,64,66,68,70,72,74,76,78
NUMA node1 CPU(s):                       1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,35,37,39,41,43,45,47,49,51,53,55,57,59,61,63,65,67,69,71,73,75,77,79
Vulnerability Gather data sampling:      Mitigation; Microcode
Vulnerability Indirect target selection: Mitigation; Aligned branch/return thunks
Vulnerability Itlb multihit:             KVM: Mitigation: Split huge pages
Vulnerability L1tf:                      Not affected
Vulnerability Mds:                       Not affected
Vulnerability Meltdown:                  Not affected
Vulnerability Mmio stale data:           Mitigation; Clear CPU buffers; SMT vulnerable
Vulnerability Reg file data sampling:    Not affected
Vulnerability Retbleed:                  Mitigation; Enhanced IBRS
Vulnerability Spec rstack overflow:      Not affected
Vulnerability Spec store bypass:         Mitigation; Speculative Store Bypass disabled via prctl
Vulnerability Spectre v1:                Mitigation; usercopy/swapgs barriers and __user pointer sanitization
Vulnerability Spectre v2:                Mitigation; Enhanced / Automatic IBRS; IBPB conditional; PBRSB-eIBRS SW sequence; BHI SW loop, KVM SW loop
Vulnerability Srbds:                     Not affected
Vulnerability Tsa:                       Not affected
Vulnerability Tsx async abort:           Mitigation; TSX disabled
Vulnerability Vmscape:                   Mitigation; IBPB before exit to userspace
Flags:                                   fpu vme de pse tsc msr pae mce cx8 apic sep mtrr pge mca cmov pat pse36 clflush dts acpi mmx fxsr sse sse2 ss ht tm pbe syscall nx pdpe1gb rdtscp lm constant_tsc art arch_perfmon pebs bts rep_good nopl xtopology nonstop_tsc cpuid aperfmperf pni pclmulqdq dtes64 monitor ds_cpl vmx smx est tm2 ssse3 sdbg fma cx16 xtpr pdcm pcid dca sse4_1 sse4_2 x2apic movbe popcnt tsc_deadline_timer aes xsave avx f16c rdrand lahf_lm abm 3dnowprefetch cpuid_fault epb cat_l3 cdp_l3 intel_ppin ssbd mba ibrs ibpb stibp ibrs_enhanced tpr_shadow flexpriority ept vpid ept_ad fsgsbase tsc_adjust bmi1 avx2 smep bmi2 erms invpcid cqm mpx rdt_a avx512f avx512dq rdseed adx smap clflushopt clwb intel_pt avx512cd avx512bw avx512vl xsaveopt xsavec xgetbv1 xsaves cqm_llc cqm_occup_llc cqm_mbm_total cqm_mbm_local dtherm ida arat pln pts hwp hwp_act_window hwp_epp hwp_pkg_req vnmi pku ospke avx512_vnni md_clear flush_l1d arch_capabilities

G++:

g++ (Ubuntu 9.4.0-1ubuntu1~20.04) 9.4.0
Copyright (C) 2019 Free Software Foundation, Inc.
This is free software; see the source for copying conditions.  There is NO
warranty; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.

Clang:

clang version 10.0.0-4ubuntu1 
Target: x86_64-pc-linux-gnu
Thread model: posix
InstalledDir: /usr/bin

@WardBrian
WardBrian merged commit 4469e20 into develop Sep 8, 2026
34 checks passed
@WardBrian
WardBrian deleted the fix/fwd-mode-jacobian branch September 8, 2026 13:49
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forward-mode jacobian aborts for mappings R^n -> R^m with m != n

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