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Table of Contents

SPIR-V Control Flow

SPIR-V Control Flow

A collection of techniques for scrutinising SPIR-V control flow rules, their validation, and whether they are implemented correctly.

Repository Overview

📦 main
├─ .gitignore
├─ .gitmodules
├─ AUTHORS
├─ AlloyModel
│  └─ StructuredDominanceCFG.als
├─ CONTRIBUTORS
├─ LICENSE
├─ README.md
├─ fleshing
│  ├─ .gitignore
│  ├─ README.md
│  ├─ amber_result.py
│  ├─ amber_runner.py
│  ├─ amber_utils.py
│  ├─ copy-libs.sh
│  ├─ cross_compilation.py
│  ├─ examples
│  │  ├─ simple-fleshed.amber
│  │  ├─ simple.asm
│  │  └─ simple.pdf
│  ├─ fleshing_runner.py
│  ├─ fleshout.py
│  ├─ run_amber_on_android.py
│  ├─ test.py
│  ├─ test_0.png
│  ├─ test_0.xml
│  └─ use_mesa.sh
├─ isCFGdeemedFeasible.py
└─ spirv-to-alloy
   ├─ CMakeLists.txt
   ├─ convert_asm_directory.py
   ├─ scrape-vulkan-cts.py
   ├─ src
   │  └─ spirv_to_alloy
   │     ├─ CMakeLists.txt
   │     └─ src
   │        └─ main.cc
   └─ third_party
      ├─ SPIRV-Headers
      └─ SPIRV-Tools
         ├─ CMakeLists.txt
         └─ SPIRV-Tools

Getting Started

These instructions will guide you through getting a set of tools underway for checking whether a given control flow graph is deemed feasible.

spirv-to-alloy

This tool turns the control flow graph of a SPIR-V function into a form ready for analysis with Alloy. This can be useful to check whether the control flow graph is deemed feasible.

Build Instructions:

After cloning the repo, enter the repo directory and do the following:

# Update and init submodules.
git submodule update --init

# Build using a recent version of CMake. Ensure `ninja` is on your PATH.
mkdir spirv-to-alloy/build
cd spirv-to-alloy/build

cmake -G Ninja .. -DCMAKE_BUILD_TYPE=Debug
cmake --build . --config Debug

From the build directory, the tool executable will then be ./src/spirv_to_alloy/spirv-to-alloy

To run the tool, do:

/path/to/spirv-to-alloy <spirv-binary> <function-id> <alloy module name>

where <spirv-binary> is a SPIR-V binary file, <function-id> is the id of some function in that file whose control flow graph you are interested in, and <alloy module name> is the name of an Alloy module that you would like to appear in the output.

Alloy

Our model relies on the Alloy language. To analyse an alloy module generated by the spirv-to-alloy tool (for e.g., XXX.als below), run the Alloy GUI Analyzer, open the model, add the content of XXX.als in the editor panel and run it under the Execute menu option.

  pred XXX {
  some disj b1, b2, b3, b4, b5, b6, b7, b8, b9, b10 : BLOCK { 
    EntryPoint = b1
    HeaderBlock = b1 + b4 + b6
    LoopHeader = b4 + b6
    SwitchBlock = none
    jump = (b1 -> ((0 -> b2) + (1 -> b3)))
         + (b3 -> (0 -> b4))
         + (b4 -> (0 -> b5))
         + (b5 -> (0 -> b6))
         + (b6 -> (0 -> b7))
         + (b8 -> (0 -> b6))
         + (b9 -> (0 -> b4))
    merge = (b1 -> b3)
          + (b4 -> b10)
          + (b6 -> b9)
    continue = (b4 -> b9)
             + (b6 -> b8)
  }
}
run { XXX  && Valid } for 10 BLOCK

You may want to run Alloy from command-line in which case the Alloy* should be installed.

For example, to check the above graph (if on macOS) run the following from the command line:

java -classpath /path/to/alloystar -Xmx3g -Djava.library.path=/path/to/alloystar/x86-mac -Dout=/path/to/traces -Dquiet=false -Dsolver=minisat -Dhigherorder=true -Dcmd=0 -Diter=true  edu/mit/csail/sdg/alloy4whole/RunAlloy /path/to/XXX.als

If on Linux or Windows, change the library path accordingly. For more details on the command-line parameters, see here: Java Tool Doc.

SPIR-V Tools

Download the latest release of SPIR-V Tools from here and unpack it somewhere. Note the absolute paths to the spirv-as and spirv-dis tools.

glslangValidator (SPIR-V Generator)

glslangValidator is the tool used to compile GLSL and HLSL shaders into SPIR-V Vulkan's shader format. To build and install glslang, do the following:

git clone https://github.com/KhronosGroup/glslang.git
mkdir -p build
cd build
cmake -DCMAKE_BUILD_TYPE=Release -DCMAKE_INSTALL_PREFIX="$(pwd)/install" </absolute/path/to/glslang>
make -j4 install

Note the absolute path to the glslangValidator tool.

Scraping the Vulkan CTS for Control Flow Graphs

Check out the Vulkan and OpenGL CTS somewhere:

cd /somewhere/sensible/
git clone git@github.com:KhronosGroup/VK-GL-CTS.git

Navigate to the root of the spirv-control-flow repo. Then do:

mkdir VulkanCTS
./spirv-to-alloy/scrape-vulkan-cts.py VulkanCTS /path/to/VK-GL-CTS /path/to/glslangValidator /path/to/spirv-as /path/to/spirv-dis /path/to/spirv-to-alloy

where /path/to/VK-GL-CTS is the path to the VK-GL-CTS repo checked out above; the other arguments are the path to glslangValidator (from the version that you built and installed), the paths to the spirv-as and spirv-dis tools (from the release you downloaded), and the path to the spirv-to-alloy tool that you built.

NOTE: (1) Make sure the file is executable: chmod +x scrape-vulkan-cts.py (2) The script will run with the default python interpreter. Should you use some specific Python version just specify it in the shebang line to let the kernel know what interpreter to use, e.g., #!/usr/bin/env python3.9

If this command succeeded, you should see many .als files under VulkanCTS.

Analysing the Scraped Alloy Files

The tool isCFGdeemedFeasible.py checks (in batch mode) whether the tests from the Khronos Vulkan Conformance Testing Suite (generated by the spirv-to-alloy tool) are deemed valid by the Alloy model.

Each .als module contains an “open” statement which imports the Alloy model signature into this module spec. Both the .als module and the Alloy model should be at the same level in repo hierarchy: if all the steps are performed correctly, then the contents of VulkanCTS and AlloyModel folders are already at the same level.

For all the tests deemed valid by the Alloy model, the script will generate the corresponding xml file. In addition, the generated out.csv will store tabular data about each test. This is a fragment example of out.csv viewed as spread sheet:

CFG Blocks HeaderBlocks LoopHeaders SelectionHeaders SwitchBlocks Jumps ExitBlocks CyclomaticComplexity TranslationTime SolvingTime Vars PrimaryVars Clauses Feasible
s000 1 0 0 0 0 0 1 1 0.11 0.03 291 13 590 TRUE
s059 4 1 0 1 0 2 3 4 0.31 0.03 13517 136 41556 TRUE
s008 3 1 0 1 0 2 2 3 0.21 0.03 6261 81 18975 TRUE

Usage

usage: isCFGdeemedFeasible.py [-h] -a PATH_TO_ALLOY_FILES -x PATH_TO_XML_OUTPUT_FOLDER -c PATH_TO_ALLOYSTAR
                              [-m MEMORY]
                              [-s {sat4j,cryptominisat,glucose,plingeling,lingeling,minisatprover,minisat}]

required arguments:
  -a PATH_TO_ALLOY_FILES, --path_to_alloy_Files PATH_TO_ALLOY_FILES
                        The path to the Vulkan CTS .als files folder
  -x PATH_TO_XML_OUTPUT_FOLDER, --path_to_XML_Output_Folder PATH_TO_XML_OUTPUT_FOLDER
                        The path to the generated instance XML files
  -c PATH_TO_ALLOYSTAR, --path_to_AlloyStar PATH_TO_ALLOYSTAR
                        The Alloy* (https://github.com/johnwickerson/alloystar) packs the RunAlloy tool which allows
                        Alloy run from the command line

optional arguments:
  -h, --help            show this help message and exit
  -m MEMORY, --memory MEMORY
                        Maximum memory in [GB]
  -s {sat4j,cryptominisat,glucose,plingeling,lingeling,minisatprover,minisat}, --solver {sat4j,cryptominisat,glucose,plingeling,lingeling,minisatprover,minisat}
                        Constraint/SAT Solver: By default, the pure Java solver "SAT4J" is chosen since it runs on
                        every platform and operating system. If you require faster performance, you can try one of
                        the native solver such as MiniSat or ZChaff.

Contributing

Pull requests are welcome. For major changes, please open an issue first to discuss what you would like to change. Please read CONTRIBUTORS for more details.

License

See the LICENSE file for details.

References

  • A complete registry of all official SPIR-V specifications. The Khronos Group Inc. 2021. Available at: https://www.khronos.org/registry/SPIR-V/
  • Software Abstractions: Logic, Language, and Analysis. By Daniel Jackson, The MIT Press, 2006, 366pp, ISBN 978-0262101141.