[Fix, Test] (ShaderTranspiler): rewrite float-equals-zero exactly instead of within a 1e-4 epsilon

This commit is contained in:
2026-08-20 03:59:29 -04:00
parent 0944925679
commit 392736fb6b
3 changed files with 182 additions and 48 deletions
@@ -8,6 +8,7 @@
#include <gtest/gtest.h>
#include <sstream>
#include <string>
#include <vector>
@@ -484,52 +485,165 @@ TEST_F(DemoteFloat64Test, RejectsGarbageInput) {
EXPECT_FALSE(ShaderCompiler::DemoteFloat64ToFloat32(notSpirv, output, true));
}
// EliminateFloatEqualsZeroPass turns a comparison against 0.0 into an epsilon test, a
// workaround for drivers whose exact float compare misbehaves. Deciding WHICH constants are
// zero used to read every float constant as though it were 32 bits wide, and on a 64-bit
// constant that reads the LOW half of the mantissa - which is zero for 1.0lf, 2.0lf, 0.5lf and
// every other round double a shader is likely to spell. Each of those was mistaken for 0.0, so
// a comparison against 1.0lf became an epsilon test against ZERO, and came out true for a
// uniform holding exactly 1.0. That is the whole of KHR-GL43.compute_shader.fp64-case2.
// EliminateFloatEqualsZeroPass re-spells a comparison against 0.0 through GLSL.std.450 FAbs, so
// that no float-equality instruction reaches a driver that gets one wrong. Deciding WHICH
// constants are zero used to read every float constant as though it were 32 bits wide, and on a
// 64-bit constant that reads the LOW half of the mantissa - which is zero for 1.0lf, 2.0lf, 0.5lf
// and every other round double a shader is likely to spell. Each of those was mistaken for 0.0, so
// a comparison against 1.0lf became a test against ZERO, and came out true for a uniform holding
// exactly 1.0. That is the whole of KHR-GL43.compute_shader.fp64-case2.
//
// The replacement itself used to be an epsilon ball, `abs(x) < 1e-4`, which called any legitimately
// small value zero: KHR-GL3x.buffer_objects.triangles computes a specular term of ~6e-5 at a large
// render target and rendered black. It is exact now - `abs(x) <= 0.0` / `abs(x) > 0.0` against the
// module's own zero constant - and the tests below pin both halves of that: only a genuine 0.0 is
// matched, and what the compare tests against is the constant the source itself spelled.
//
// Asserted on the optimized module rather than through a driver, because that is where the
// rewrite happens and its fingerprint there is unambiguous: the epsilon form introduces a
// rewrite happens and its fingerprint there is unambiguous: the rewrite introduces a
// GLSL.std.450 FAbs, and nothing else in these shaders would.
namespace {
Bool RewritesToAnEpsilonTest(const String& source) {
String OptimizedDisassembly(const String& source) {
const Vector<Uint32> input = CompileToSpirv(GL_COMPUTE_SHADER, source);
EXPECT_FALSE(input.empty());
if (input.empty()) return false;
if (input.empty()) return {};
Vector<Uint32> output;
EXPECT_TRUE(ShaderCompiler::SanitizeAndOptimizeBinary(input, output, true, true));
return Disassemble(output).find("FAbs") != String::npos;
return Disassemble(output);
}
String CompareAgainst(const String& type, const String& literal) {
Bool RewritesToAnAbsoluteValueTest(const String& source) {
return OptimizedDisassembly(source).find("FAbs") != String::npos;
}
String CompareAgainstUsing(const String& type, const String& op, const String& literal) {
return "#version 430 core\n"
"layout(local_size_x = 1) in;\n"
"buffer Result { int g_result; };\n"
"uniform " + type + " g_0;\n"
"void main() {\n"
" g_result = 0;\n"
" if (g_0 != " + literal + ") g_result = 1;\n"
" if (g_0 " + op + " " + literal + ") g_result = 1;\n"
"}\n";
}
String CompareAgainst(const String& type, const String& literal) {
return CompareAgainstUsing(type, "!=", literal);
}
// Every instruction of a disassembly, split into whitespace-separated tokens, so an operand can
// be identified by position instead of by a substring another opcode might also contain -
// `OpFOrdLessThan` is a prefix of `OpFOrdLessThanEqual`, and those two are the whole difference
// between the epsilon rewrite and the exact one.
Vector<Vector<String>> TokenizedInstructions(const String& disassembly) {
Vector<Vector<String>> instructions;
StringStream lines(disassembly);
String line;
while (std::getline(lines, line)) {
Vector<String> tokens;
StringStream words(line);
String word;
while (words >> word) tokens.push_back(word);
instructions.push_back(tokens);
}
return instructions;
}
// The compare the rewrite leaves behind, e.g. `%22 = OpFOrdLessThanEqual %bool %21 %float_0`,
// or an empty vector if the module has none. These four opcodes are the only ones the pass
// emits and nothing else in these shaders produces one.
Vector<String> FindRewrittenCompare(const String& disassembly) {
for (const Vector<String>& tokens : TokenizedInstructions(disassembly)) {
if (tokens.size() < 6 || tokens[1] != "=") continue;
if (tokens[2] == "OpFOrdLessThanEqual" || tokens[2] == "OpFUnordLessThanEqual" ||
tokens[2] == "OpFOrdGreaterThan" || tokens[2] == "OpFUnordGreaterThan") {
return tokens;
}
}
return {};
}
// Result id of the module's 0.0 constant of the type FAbs produces - the constant the source
// itself spelled - found without assuming what the disassembler names it or how it prints the
// literal.
String FindZeroConstantId(const String& disassembly) {
const Vector<Vector<String>> instructions = TokenizedInstructions(disassembly);
String floatTypeId;
for (const Vector<String>& tokens : instructions) {
if (tokens.size() >= 7 && tokens[2] == "OpExtInst" && tokens[5] == "FAbs") {
floatTypeId = tokens[3];
break;
}
}
if (floatTypeId.empty()) return {};
for (const Vector<String>& tokens : instructions) {
if (tokens.size() < 5 || tokens[2] != "OpConstant" || tokens[3] != floatTypeId) continue;
char* end = nullptr;
const double value = std::strtod(tokens[4].c_str(), &end);
if (end != nullptr && *end == '\0' && value == 0.0) return tokens[0];
}
return {};
}
// The shape the pass promises: the given opcode (either NaN half of it), tested against the
// module's own zero constant rather than against anything this pass invented.
void ExpectComparedAgainstModuleZero(const String& source, const String& orderedOpcode,
const String& unorderedOpcode) {
const String disassembly = OptimizedDisassembly(source);
const Vector<String> compare = FindRewrittenCompare(disassembly);
ASSERT_FALSE(compare.empty()) << "no rewritten compare in the optimized module\n"
<< disassembly;
EXPECT_TRUE(compare[2] == orderedOpcode || compare[2] == unorderedOpcode)
<< "expected " << orderedOpcode << " (or its unordered twin), got " << compare[2] << "\n"
<< disassembly;
const String zeroId = FindZeroConstantId(disassembly);
ASSERT_FALSE(zeroId.empty()) << "the module has no 0.0 constant of the abs() type\n"
<< disassembly;
EXPECT_EQ(compare.back(), zeroId)
<< "the rewrite compares against " << compare.back()
<< " instead of the module's own zero; a synthesized threshold is the epsilon bug\n"
<< disassembly;
}
} // namespace
TEST_F(DemoteFloat64Test, AComparisonAgainstANonZeroDoubleIsLeftAlone) {
EXPECT_FALSE(RewritesToAnEpsilonTest(CompareAgainst("double", "1.0LF")))
<< "a double compared against 1.0lf was rewritten into an epsilon test against zero";
EXPECT_FALSE(RewritesToAnAbsoluteValueTest(CompareAgainst("double", "1.0LF")))
<< "a double compared against 1.0lf was rewritten into a test against zero";
}
TEST_F(DemoteFloat64Test, AComparisonAgainstZeroIsStillRewritten) {
EXPECT_TRUE(RewritesToAnEpsilonTest(CompareAgainst("double", "0.0LF")))
EXPECT_TRUE(RewritesToAnAbsoluteValueTest(CompareAgainst("double", "0.0LF")))
<< "the rewrite must still fire for a genuine comparison against zero";
}
TEST_F(DemoteFloat64Test, TheThirtyTwoBitBehaviourIsUnchanged) {
EXPECT_FALSE(RewritesToAnEpsilonTest(CompareAgainst("float", "1.0")))
EXPECT_FALSE(RewritesToAnAbsoluteValueTest(CompareAgainst("float", "1.0")))
<< "a float compared against 1.0 must not be rewritten";
EXPECT_TRUE(RewritesToAnEpsilonTest(CompareAgainst("float", "0.0")))
EXPECT_TRUE(RewritesToAnAbsoluteValueTest(CompareAgainst("float", "0.0")))
<< "the 32-bit behaviour this pass shipped with must be preserved exactly";
}
// The pass matches ZERO, not "small". The old constant-is-zero test was `fabs(v) <= 1e-4`, so a
// float compared against exactly 1e-4 was declared a comparison against zero and rewritten into
// `abs(x) >= 1e-4` - a different question from the one the shader asked, against a constant that
// was never zero to begin with.
TEST_F(DemoteFloat64Test, AComparisonAgainstASmallNonZeroLiteralIsLeftAlone) {
EXPECT_FALSE(RewritesToAnAbsoluteValueTest(CompareAgainst("float", "0.0001")))
<< "a float compared against 1e-4 was treated as a comparison against zero";
EXPECT_FALSE(RewritesToAnAbsoluteValueTest(CompareAgainst("double", "0.0001LF")))
<< "the 64-bit accessor must judge the constant just as exactly as the 32-bit one";
}
// What replaces the compare, not just that something did. Both properties here are what makes the
// rewrite exact rather than a tolerance, and neither is visible in the FAbs fingerprint above.
TEST_F(DemoteFloat64Test, TheRewriteComparesAbsAgainstTheModulesOwnZero) {
// `x == 0.0` -> `abs(x) <= 0.0`. The equality has to be INSIDE the replacement: with a strict
// `<` and no epsilon left to hide behind, +/-0 would stop comparing equal to zero.
ExpectComparedAgainstModuleZero(CompareAgainstUsing("float", "==", "0.0"),
"OpFOrdLessThanEqual", "OpFUnordLessThanEqual");
// `x != 0.0` -> `abs(x) > 0.0`, the strict complement of the above.
ExpectComparedAgainstModuleZero(CompareAgainstUsing("float", "!=", "0.0"), "OpFOrdGreaterThan",
"OpFUnordGreaterThan");
}
@@ -15,8 +15,6 @@
#include "source/opt/ir_builder.h"
#include "source/opt/ir_context.h"
#include "source/opt/module.h"
#include "source/opt/type_manager.h"
#include <cmath>
#include <vector>
namespace MobileGL {
@@ -29,7 +27,6 @@ namespace MobileGL {
analysis::ConstantManager* const_mgr = context()->get_constant_mgr();
analysis::DefUseManager* def_use_mgr = context()->get_def_use_mgr();
analysis::TypeManager* type_mgr = context()->get_type_mgr();
// 2. Import `GLSL.std.450` extension ID (for abs() func)
uint32_t glsl_std_450_id = context()->get_feature_mgr()->GetExtInstImportId_GLSLstd450();
@@ -70,6 +67,10 @@ namespace MobileGL {
uint32_t op2_id = inst.GetSingleWordInOperand(1);
uint32_t var_id = 0;
// The zero the source spelled, reused verbatim as the right-hand side
// of the rewritten compare - so nothing has to be synthesized for a
// width this pass would have to encode by hand.
uint32_t zero_id = 0;
// The constant's WIDTH decides which accessor may read it, and asking
// the wrong one does not fail - it answers.
@@ -78,8 +79,8 @@ namespace MobileGL {
// bits. On a 64-bit constant words()[0] is the LOW half of the
// mantissa, and that half is zero for every round double a shader
// actually spells: 1.0lf, 2.0lf, 0.5lf, 100.0lf. Each of those
// therefore looked like 0.0 here, and `d != 1.0lf` was rewritten into
// `abs(d) >= epsilon` - which is TRUE for d == 1.0. That is the whole
// therefore looked like 0.0 here, and `d != 1.0lf` was rewritten into a
// test of `d` against ZERO - which is TRUE for d == 1.0. That is the whole
// of KHR-GL43.compute_shader.fp64-case2: twelve uniforms compared
// against vector and matrix constructors were untouched (a composite
// is not a FloatConstant) and the one scalar comparison in the shader
@@ -97,17 +98,24 @@ namespace MobileGL {
const analysis::Float* floatType =
floatConstant->type() != nullptr ? floatConstant->type()->AsFloat() : nullptr;
if (floatType == nullptr) return false;
// Exactly zero - a near-zero constant is not a zero constant.
// `x == 1e-5` asks a different question than `x == 0.0` and must
// keep its own right-hand side. -0.0 compares equal to 0.0 here,
// which is correct: `x == -0.0` and `x == 0.0` are the same
// predicate in IEEE, and abs() maps both zeroes onto +0.
switch (floatType->width()) {
case 32: return std::fabs(floatConstant->GetFloatValue()) <= K_EPSILON;
case 64: return std::fabs(floatConstant->GetDoubleValue()) <= K_EPSILON;
case 32: return floatConstant->GetFloatValue() == 0.0f;
case 64: return floatConstant->GetDoubleValue() == 0.0;
default: return false;
}
};
if (is_float_zero(op2_id)) {
var_id = op1_id; // x == 0.0
zero_id = op2_id;
} else if (is_float_zero(op1_id)) {
var_id = op2_id; // 0.0 == x
zero_id = op1_id;
} else {
++itInst;
continue;
@@ -120,12 +128,7 @@ namespace MobileGL {
uint32_t float_type_id = def_use_mgr->GetDef(var_id)->type_id();
uint32_t bool_type_id = inst.type_id();
// 2. Create constant ID for `Epsilon`
const analysis::Constant* eps_const = const_mgr->GetConstant(
type_mgr->GetType(float_type_id), {*(reinterpret_cast<const uint32_t*>(&K_EPSILON))});
uint32_t eps_id = const_mgr->GetDefiningInstruction(eps_const)->result_id();
// 3. Build Abs(x) inst
// 2. Build Abs(x) inst
// OpExtInst %float_type %glsl_import Abs %x
InstructionBuilder builder(
context(), &inst, IRContext::kAnalysisDefUse | IRContext::kAnalysisInstrToBlockMapping);
@@ -140,38 +143,42 @@ namespace MobileGL {
Instruction* abs_inst = builder.AddInstruction(MakeUnique<Instruction>(
context(), spv::Op::OpExtInst, float_type_id, context()->TakeNextId(), abs_operands));
// 4. build Abs(x) < Epsilon
// OpFOrdLessThan %bool_type %abs_val %eps
std::vector<Operand> less_operands;
less_operands.push_back({SPV_OPERAND_TYPE_ID, {abs_inst->result_id()}});
less_operands.push_back({SPV_OPERAND_TYPE_ID, {eps_id}});
// 3. build Abs(x) <= 0.0, or Abs(x) > 0.0 for the NotEqual forms
// OpFOrdLessThanEqual %bool_type %abs_val %zero
std::vector<Operand> cmp_operands;
cmp_operands.push_back({SPV_OPERAND_TYPE_ID, {abs_inst->result_id()}});
cmp_operands.push_back({SPV_OPERAND_TYPE_ID, {zero_id}});
// Equality is INCLUDED in the replacement, which is what makes the
// rewrite exact: |x| <= 0 is true for +0 and -0 and false for every
// other finite value, |x| > 0 is its complement. The ordered/unordered
// half of the opcode is preserved, so NaN keeps answering as it did.
spv::Op replacementOp = spv::Op::OpNop;
switch (inst.opcode()) {
case spv::Op::OpFOrdEqual:
replacementOp = spv::Op::OpFOrdLessThan;
replacementOp = spv::Op::OpFOrdLessThanEqual;
break;
case spv::Op::OpFUnordEqual:
replacementOp = spv::Op::OpFUnordLessThan;
replacementOp = spv::Op::OpFUnordLessThanEqual;
break;
case spv::Op::OpFOrdNotEqual:
replacementOp = spv::Op::OpFOrdGreaterThanEqual;
replacementOp = spv::Op::OpFOrdGreaterThan;
break;
case spv::Op::OpFUnordNotEqual:
replacementOp = spv::Op::OpFUnordGreaterThanEqual;
replacementOp = spv::Op::OpFUnordGreaterThan;
break;
default:
MOBILEGL_ASSERT(false, "Unexpected float compare opcode: %d",
static_cast<int>(inst.opcode()));
break;
}
Instruction* less_than_inst = builder.AddInstruction(MakeUnique<Instruction>(
context(), replacementOp, bool_type_id, context()->TakeNextId(), less_operands));
Instruction* cmp_inst = builder.AddInstruction(MakeUnique<Instruction>(
context(), replacementOp, bool_type_id, context()->TakeNextId(), cmp_operands));
// 5. Replaces all uses of old insn with new one
context()->ReplaceAllUsesWith(inst.result_id(), less_than_inst->result_id());
// 4. Replaces all uses of old insn with new one
context()->ReplaceAllUsesWith(inst.result_id(), cmp_inst->result_id());
// 6. Kill old instruction (will be cleaned up by DCE later)
// 5. Kill old instruction (will be cleaned up by DCE later)
auto nextInstIt = context()->KillInst(&inst);
if (nextInstIt) {
itInst = nextInstIt;
@@ -15,15 +15,28 @@
namespace MobileGL {
namespace MG_Util {
namespace ShaderTranspiler {
// Keeps the driver's float-EQUALITY instruction out of the module: every scalar
// comparison against a constant 0.0 is re-spelled through GLSL.std.450 FAbs, so no
// OpFOrdEqual / OpFUnordEqual / OpFOrdNotEqual / OpFUnordNotEqual against zero ever
// reaches a shader compiler that gets exact float compare wrong.
//
// The rewrite is EXACT, not a tolerance. `x == 0.0` becomes `abs(x) <= 0.0` and
// `x != 0.0` becomes `abs(x) > 0.0`, both against the module's own zero constant:
// |x| <= 0 holds for +0 and -0 and for nothing else, so the two forms agree on every
// input, at any float width, with or without denormal flushing. The ordered/unordered
// half of the opcode is carried across unchanged, which is what keeps NaN answering
// the way it did before.
//
// It used to be an epsilon ball (abs(x) < 1e-4). That silently classified any
// legitimately small value as zero - KHR-GL3x.buffer_objects.triangles renders a
// specular term of ~6e-5 at a large render target and came out black - so the fuzz is
// gone; the reason the pass exists never needed it.
class EliminateFloatEqualsZeroPass : public spvtools::opt::Pass {
public:
const char* name() const override { return "float-equals-zero-elimination"; }
Status Process() override;
static spvtools::Optimizer::PassToken CreateEliminateFloatEqualsZeroPass();
private:
const float K_EPSILON = 0.0001f;
};
} // namespace ShaderTranspiler
} // namespace MG_Util