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smt2: flatten FPA-encoded floats to their IEEE bit pattern#9031

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smt2: flatten FPA-encoded floats to their IEEE bit pattern#9031
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tautschnig:flatten-fpa

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@tautschnig tautschnig commented Jun 8, 2026

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smt2_convt::flatten2bv is reached when a value has to be turned into a plain bit-vector, e.g. at a union/byte-access (type-punning) boundary. For a floatbv operand encoded with the SMT-LIB FloatingPoint theory it previously asserted !use_FPA_theory and gave up, because that theory has no float-to-bit-vector operation. As a result any program that reads the raw bytes of an FPA-encoded float under an FPA solver (--cprover-smt2, or --z3/--cvc5/--bitwuzla with --fpa) hit an invariant violation -- for example reading a double's bit pattern via a union { double d; uint64_t i; }.

Two shapes cover the cases that actually arise from type-punning, and both are emitted without needing a float-to-bit-vector operation:

  • a constant: the IEEE interchange bit pattern is exactly the value's bit-vector representation, so it is emitted as a literal bit-vector;
  • a bit-pattern reinterpret (float)bits (a typecast from a same-width generic bit-vector, as produced when lowering byte operators): flattening recovers precisely those bits, i.e. the typecast operand.

A non-constant FPA float that is not such a reinterpret would require the bvfromfloat round-trip (a fresh bit-vector b with to_fp(b) = x), which has to be registered by find_symbols; that case does not arise from the byte-/union-lowering paths and is left as a clearly-reported unsupported case rather than the previous blanket invariant.

SAT mode is unaffected: use_FPA_theory is false there, so the existing convert_expr(expr) path is taken unchanged.

  • Each commit message has a non-empty body, explaining why the change was made.
  • n/a Methods or procedures I have added are documented, following the guidelines provided in CODING_STANDARD.md.
  • n/a The feature or user visible behaviour I have added or modified has been documented in the User Guide in doc/cprover-manual/
  • Regression or unit tests are included, or existing tests cover the modified code (in this case I have detailed which ones those are in the commit message).
  • n/a My commit message includes data points confirming performance improvements (if claimed).
  • My PR is restricted to a single feature or bugfix.
  • n/a White-space or formatting changes outside the feature-related changed lines are in commits of their own.

@tautschnig tautschnig self-assigned this Jun 8, 2026
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Pull request overview

This PR updates smt2_convt::flatten2bv to support flattening floatbv expressions when using the SMT-LIB FloatingPoint (FPA) theory, addressing crashes when a program type-puns floats (e.g., union/byte-access to read IEEE bit patterns) under --smt2 --fpa.

Changes:

  • Add an FPA-specific flatten2bv path for floatbv that can emit IEEE bit-pattern bit-vectors for float constants.
  • Recognize and flatten the common “bit-pattern reinterpret” shape (float)bits by emitting the underlying same-width bit-vector operand.
  • Replace the previous blanket !use_FPA_theory invariant with a narrower “unsupported shape” failure for non-constant, non-reinterpret FPA floats.

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Comment thread src/solvers/smt2/smt2_conv.cpp Outdated
Comment thread src/solvers/smt2/smt2_conv.cpp
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Codecov Report

❌ Patch coverage is 96.07843% with 2 lines in your changes missing coverage. Please review.
✅ Project coverage is 80.60%. Comparing base (5453820) to head (ee629cf).

Files with missing lines Patch % Lines
src/solvers/smt2/smt2_conv.cpp 87.50% 2 Missing ⚠️
Additional details and impacted files
@@           Coverage Diff            @@
##           develop    #9031   +/-   ##
========================================
  Coverage    80.60%   80.60%           
========================================
  Files         1711     1711           
  Lines       189466   189515   +49     
  Branches        73       73           
========================================
+ Hits        152719   152762   +43     
- Misses       36747    36753    +6     

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smt2_convt::flatten2bv is reached when a value has to be turned into a
plain bit-vector, e.g. at a union/byte-access (type-punning) boundary.
For a floatbv operand encoded with the SMT-LIB FloatingPoint theory it
previously asserted !use_FPA_theory and gave up, because that theory has
no float-to-bit-vector operation.  As a result any program that reads
the raw bytes of an FPA-encoded float under an FPA solver (--cprover-smt2,
or --z3/--cvc5/--bitwuzla with --fpa) hit an invariant violation -- for
example reading a double's bit pattern via a union { double d; uint64_t i; }.

Two shapes cover the cases that actually arise from type-punning, and
both are emitted without needing a float-to-bit-vector operation:

  - a constant: the IEEE interchange bit pattern is exactly the value's
    bit-vector representation, so it is emitted as a literal bit-vector;
  - a bit-pattern reinterpret (float)bits (a typecast from a same-width
    generic bit-vector, as produced when lowering byte operators):
    flattening recovers precisely those bits, i.e. the typecast operand.

A non-constant FPA float that is not such a reinterpret would require the
bvfromfloat round-trip (a fresh bit-vector b with to_fp(b) = x), which
has to be registered by find_symbols; that case does not arise from the
byte-/union-lowering paths and is left as a clearly-reported unsupported
case rather than the previous blanket invariant.

SAT mode is unaffected: use_FPA_theory is false there, so the existing
convert_expr(expr) path is taken unchanged.

CI coverage of both new branches is provided by two unit tests in
unit/solvers/smt2/smt2_conv.cpp that drive flatten2bv directly under
solvert::CPROVER_SMT2 (use_FPA_theory == true) -- one with an
FPA-encoded `double` constant, and one with a `(double)<bv64>`
reinterpret typecast.  Both unit tests SIGABRT on the previous
invariant if the fix is reverted.  The companion regression test under
regression/cbmc/union-double-bits-fpa/ documents the user-visible
union-based scenario; CPROVER's in-tree SMT2 solver does not fully
support the SMT-LIB FloatingPoint theory beyond constant folding, so
that test is tagged `broken-cprover-smt-backend`, but it has been
manually confirmed that with the new flatten2bv emission the formula
is solver-compatible under `--z3 --fpa`.

Co-authored-by: Kiro <kiro-agent@users.noreply.github.com>
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