diff options
author | Reid Spencer <rspencer@reidspencer.com> | 2007-07-11 17:01:13 +0000 |
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committer | Reid Spencer <rspencer@reidspencer.com> | 2007-07-11 17:01:13 +0000 |
commit | 5f016e2cb5d11daeb237544de1c5d59f20fe1a6e (patch) | |
tree | 8b6bfcb8783d16827f896d5facbd4549300e8a1e /Lex/PPExpressions.cpp | |
parent | a5f182095bf2065ca94f1c86957ee91f9068964b (diff) |
Stage two of getting CFE top correct.
git-svn-id: https://llvm.org/svn/llvm-project/cfe/trunk@39734 91177308-0d34-0410-b5e6-96231b3b80d8
Diffstat (limited to 'Lex/PPExpressions.cpp')
-rw-r--r-- | Lex/PPExpressions.cpp | 654 |
1 files changed, 654 insertions, 0 deletions
diff --git a/Lex/PPExpressions.cpp b/Lex/PPExpressions.cpp new file mode 100644 index 0000000000..b3457e7927 --- /dev/null +++ b/Lex/PPExpressions.cpp @@ -0,0 +1,654 @@ +//===--- PPExpressions.cpp - Preprocessor Expression Evaluation -----------===// +// +// The LLVM Compiler Infrastructure +// +// This file was developed by Chris Lattner and is distributed under +// the University of Illinois Open Source License. See LICENSE.TXT for details. +// +//===----------------------------------------------------------------------===// +// +// This file implements the Preprocessor::EvaluateDirectiveExpression method, +// which parses and evaluates integer constant expressions for #if directives. +// +//===----------------------------------------------------------------------===// +// +// FIXME: implement testing for #assert's. +// +//===----------------------------------------------------------------------===// + +#include "clang/Lex/Preprocessor.h" +#include "clang/Lex/MacroInfo.h" +#include "clang/Lex/LiteralSupport.h" +#include "clang/Basic/TargetInfo.h" +#include "clang/Basic/TokenKinds.h" +#include "clang/Basic/Diagnostic.h" +#include "llvm/ADT/APSInt.h" +#include "llvm/ADT/SmallString.h" +using namespace clang; + +static bool EvaluateDirectiveSubExpr(llvm::APSInt &LHS, unsigned MinPrec, + LexerToken &PeekTok, bool ValueLive, + Preprocessor &PP); + +/// DefinedTracker - This struct is used while parsing expressions to keep track +/// of whether !defined(X) has been seen. +/// +/// With this simple scheme, we handle the basic forms: +/// !defined(X) and !defined X +/// but we also trivially handle (silly) stuff like: +/// !!!defined(X) and +!defined(X) and !+!+!defined(X) and !(defined(X)). +struct DefinedTracker { + /// Each time a Value is evaluated, it returns information about whether the + /// parsed value is of the form defined(X), !defined(X) or is something else. + enum TrackerState { + DefinedMacro, // defined(X) + NotDefinedMacro, // !defined(X) + Unknown // Something else. + } State; + /// TheMacro - When the state is DefinedMacro or NotDefinedMacro, this + /// indicates the macro that was checked. + IdentifierInfo *TheMacro; +}; + + + +/// EvaluateValue - Evaluate the token PeekTok (and any others needed) and +/// return the computed value in Result. Return true if there was an error +/// parsing. This function also returns information about the form of the +/// expression in DT. See above for information on what DT means. +/// +/// If ValueLive is false, then this value is being evaluated in a context where +/// the result is not used. As such, avoid diagnostics that relate to +/// evaluation. +static bool EvaluateValue(llvm::APSInt &Result, LexerToken &PeekTok, + DefinedTracker &DT, bool ValueLive, + Preprocessor &PP) { + Result = 0; + DT.State = DefinedTracker::Unknown; + + // If this token's spelling is a pp-identifier, check to see if it is + // 'defined' or if it is a macro. Note that we check here because many + // keywords are pp-identifiers, so we can't check the kind. + if (IdentifierInfo *II = PeekTok.getIdentifierInfo()) { + // If this identifier isn't 'defined' and it wasn't macro expanded, it turns + // into a simple 0, unless it is the C++ keyword "true", in which case it + // turns into "1". + if (II->getPPKeywordID() != tok::pp_defined) { + Result = II->getTokenID() == tok::kw_true; + Result.setIsUnsigned(false); // "0" is signed intmax_t 0. + PP.LexNonComment(PeekTok); + return false; + } + + // Handle "defined X" and "defined(X)". + + // Get the next token, don't expand it. + PP.LexUnexpandedToken(PeekTok); + + // Two options, it can either be a pp-identifier or a (. + bool InParens = false; + if (PeekTok.getKind() == tok::l_paren) { + // Found a paren, remember we saw it and skip it. + InParens = true; + PP.LexUnexpandedToken(PeekTok); + } + + // If we don't have a pp-identifier now, this is an error. + if ((II = PeekTok.getIdentifierInfo()) == 0) { + PP.Diag(PeekTok, diag::err_pp_defined_requires_identifier); + return true; + } + + // Otherwise, we got an identifier, is it defined to something? + Result = II->getMacroInfo() != 0; + Result.setIsUnsigned(false); // Result is signed intmax_t. + + // If there is a macro, mark it used. + if (Result != 0 && ValueLive) { + II->getMacroInfo()->setIsUsed(true); + + // If this is the first use of a target-specific macro, warn about it. + if (II->getMacroInfo()->isTargetSpecific()) { + // Don't warn on second use. + II->getMacroInfo()->setIsTargetSpecific(false); + PP.getTargetInfo().DiagnoseNonPortability(PeekTok.getLocation(), + diag::port_target_macro_use); + } + } else if (ValueLive) { + // Use of a target-specific macro for some other target? If so, warn. + if (II->isOtherTargetMacro()) { + II->setIsOtherTargetMacro(false); // Don't warn on second use. + PP.getTargetInfo().DiagnoseNonPortability(PeekTok.getLocation(), + diag::port_target_macro_use); + } + } + + // Consume identifier. + PP.LexNonComment(PeekTok); + + // If we are in parens, ensure we have a trailing ). + if (InParens) { + if (PeekTok.getKind() != tok::r_paren) { + PP.Diag(PeekTok, diag::err_pp_missing_rparen); + return true; + } + // Consume the ). + PP.LexNonComment(PeekTok); + } + + // Success, remember that we saw defined(X). + DT.State = DefinedTracker::DefinedMacro; + DT.TheMacro = II; + return false; + } + + switch (PeekTok.getKind()) { + default: // Non-value token. + PP.Diag(PeekTok, diag::err_pp_expr_bad_token); + return true; + case tok::eom: + case tok::r_paren: + // If there is no expression, report and exit. + PP.Diag(PeekTok, diag::err_pp_expected_value_in_expr); + return true; + case tok::numeric_constant: { + llvm::SmallString<64> IntegerBuffer; + IntegerBuffer.resize(PeekTok.getLength()); + const char *ThisTokBegin = &IntegerBuffer[0]; + unsigned ActualLength = PP.getSpelling(PeekTok, ThisTokBegin); + NumericLiteralParser Literal(ThisTokBegin, ThisTokBegin+ActualLength, + PeekTok.getLocation(), PP); + if (Literal.hadError) + return true; // a diagnostic was already reported. + + if (Literal.isFloatingLiteral()) { + PP.Diag(PeekTok, diag::err_pp_illegal_floating_literal); + return true; + } + assert(Literal.isIntegerLiteral() && "Unknown ppnumber"); + + // Parse the integer literal into Result. + if (Literal.GetIntegerValue(Result)) { + // Overflow parsing integer literal. + if (ValueLive) PP.Diag(PeekTok, diag::warn_integer_too_large); + Result.setIsUnsigned(true); + } else { + // Set the signedness of the result to match whether there was a U suffix + // or not. + Result.setIsUnsigned(Literal.isUnsigned); + + // Detect overflow based on whether the value is signed. If signed + // and if the value is too large, emit a warning "integer constant is so + // large that it is unsigned" e.g. on 12345678901234567890 where intmax_t + // is 64-bits. + if (!Literal.isUnsigned && Result.isNegative()) { + if (ValueLive)PP.Diag(PeekTok, diag::warn_integer_too_large_for_signed); + Result.setIsUnsigned(true); + } + } + + // Consume the token. + PP.LexNonComment(PeekTok); + return false; + } + case tok::char_constant: { // 'x' + llvm::SmallString<32> CharBuffer; + CharBuffer.resize(PeekTok.getLength()); + const char *ThisTokBegin = &CharBuffer[0]; + unsigned ActualLength = PP.getSpelling(PeekTok, ThisTokBegin); + CharLiteralParser Literal(ThisTokBegin, ThisTokBegin+ActualLength, + PeekTok.getLocation(), PP); + if (Literal.hadError()) + return true; // A diagnostic was already emitted. + + // Character literals are always int or wchar_t, expand to intmax_t. + TargetInfo &TI = PP.getTargetInfo(); + unsigned NumBits; + if (Literal.isWide()) + NumBits = TI.getWCharWidth(PeekTok.getLocation()); + else + NumBits = TI.getCharWidth(PeekTok.getLocation()); + + // Set the width. + llvm::APSInt Val(NumBits); + // Set the value. + Val = Literal.getValue(); + // Set the signedness. + Val.setIsUnsigned(!TI.isCharSigned(PeekTok.getLocation())); + + if (Result.getBitWidth() > Val.getBitWidth()) { + if (Val.isSigned()) + Result = Val.sext(Result.getBitWidth()); + else + Result = Val.zext(Result.getBitWidth()); + Result.setIsUnsigned(Val.isUnsigned()); + } else { + assert(Result.getBitWidth() == Val.getBitWidth() && + "intmax_t smaller than char/wchar_t?"); + Result = Val; + } + + // Consume the token. + PP.LexNonComment(PeekTok); + return false; + } + case tok::l_paren: + PP.LexNonComment(PeekTok); // Eat the (. + // Parse the value and if there are any binary operators involved, parse + // them. + if (EvaluateValue(Result, PeekTok, DT, ValueLive, PP)) return true; + + // If this is a silly value like (X), which doesn't need parens, check for + // !(defined X). + if (PeekTok.getKind() == tok::r_paren) { + // Just use DT unmodified as our result. + } else { + if (EvaluateDirectiveSubExpr(Result, 1, PeekTok, ValueLive, PP)) + return true; + + if (PeekTok.getKind() != tok::r_paren) { + PP.Diag(PeekTok, diag::err_pp_expected_rparen); + return true; + } + DT.State = DefinedTracker::Unknown; + } + PP.LexNonComment(PeekTok); // Eat the ). + return false; + + case tok::plus: + // Unary plus doesn't modify the value. + PP.LexNonComment(PeekTok); + return EvaluateValue(Result, PeekTok, DT, ValueLive, PP); + case tok::minus: { + SourceLocation Loc = PeekTok.getLocation(); + PP.LexNonComment(PeekTok); + if (EvaluateValue(Result, PeekTok, DT, ValueLive, PP)) return true; + // C99 6.5.3.3p3: The sign of the result matches the sign of the operand. + Result = -Result; + + bool Overflow = false; + if (Result.isUnsigned()) + Overflow = !Result.isPositive(); + else if (Result.isMinSignedValue()) + Overflow = true; // -MININT is the only thing that overflows. + + // If this operator is live and overflowed, report the issue. + if (Overflow && ValueLive) + PP.Diag(Loc, diag::warn_pp_expr_overflow); + + DT.State = DefinedTracker::Unknown; + return false; + } + + case tok::tilde: + PP.LexNonComment(PeekTok); + if (EvaluateValue(Result, PeekTok, DT, ValueLive, PP)) return true; + // C99 6.5.3.3p4: The sign of the result matches the sign of the operand. + Result = ~Result; + DT.State = DefinedTracker::Unknown; + return false; + + case tok::exclaim: + PP.LexNonComment(PeekTok); + if (EvaluateValue(Result, PeekTok, DT, ValueLive, PP)) return true; + Result = !Result; + // C99 6.5.3.3p5: The sign of the result is 'int', aka it is signed. + Result.setIsUnsigned(false); + + if (DT.State == DefinedTracker::DefinedMacro) + DT.State = DefinedTracker::NotDefinedMacro; + else if (DT.State == DefinedTracker::NotDefinedMacro) + DT.State = DefinedTracker::DefinedMacro; + return false; + + // FIXME: Handle #assert + } +} + + + +/// getPrecedence - Return the precedence of the specified binary operator +/// token. This returns: +/// ~0 - Invalid token. +/// 14 - *,/,% +/// 13 - -,+ +/// 12 - <<,>> +/// 11 - >=, <=, >, < +/// 10 - ==, != +/// 9 - & +/// 8 - ^ +/// 7 - | +/// 6 - && +/// 5 - || +/// 4 - ? +/// 3 - : +/// 0 - eom, ) +static unsigned getPrecedence(tok::TokenKind Kind) { + switch (Kind) { + default: return ~0U; + case tok::percent: + case tok::slash: + case tok::star: return 14; + case tok::plus: + case tok::minus: return 13; + case tok::lessless: + case tok::greatergreater: return 12; + case tok::lessequal: + case tok::less: + case tok::greaterequal: + case tok::greater: return 11; + case tok::exclaimequal: + case tok::equalequal: return 10; + case tok::amp: return 9; + case tok::caret: return 8; + case tok::pipe: return 7; + case tok::ampamp: return 6; + case tok::pipepipe: return 5; + case tok::question: return 4; + case tok::colon: return 3; + case tok::comma: return 2; + case tok::r_paren: return 0; // Lowest priority, end of expr. + case tok::eom: return 0; // Lowest priority, end of macro. + } +} + + +/// EvaluateDirectiveSubExpr - Evaluate the subexpression whose first token is +/// PeekTok, and whose precedence is PeekPrec. +/// +/// If ValueLive is false, then this value is being evaluated in a context where +/// the result is not used. As such, avoid diagnostics that relate to +/// evaluation. +static bool EvaluateDirectiveSubExpr(llvm::APSInt &LHS, unsigned MinPrec, + LexerToken &PeekTok, bool ValueLive, + Preprocessor &PP) { + unsigned PeekPrec = getPrecedence(PeekTok.getKind()); + // If this token isn't valid, report the error. + if (PeekPrec == ~0U) { + PP.Diag(PeekTok, diag::err_pp_expr_bad_token); + return true; + } + + while (1) { + // If this token has a lower precedence than we are allowed to parse, return + // it so that higher levels of the recursion can parse it. + if (PeekPrec < MinPrec) + return false; + + tok::TokenKind Operator = PeekTok.getKind(); + + // If this is a short-circuiting operator, see if the RHS of the operator is + // dead. Note that this cannot just clobber ValueLive. Consider + // "0 && 1 ? 4 : 1 / 0", which is parsed as "(0 && 1) ? 4 : (1 / 0)". In + // this example, the RHS of the && being dead does not make the rest of the + // expr dead. + bool RHSIsLive; + if (Operator == tok::ampamp && LHS == 0) + RHSIsLive = false; // RHS of "0 && x" is dead. + else if (Operator == tok::pipepipe && LHS != 0) + RHSIsLive = false; // RHS of "1 || x" is dead. + else if (Operator == tok::question && LHS == 0) + RHSIsLive = false; // RHS (x) of "0 ? x : y" is dead. + else + RHSIsLive = ValueLive; + + // Consume the operator, saving the operator token for error reporting. + LexerToken OpToken = PeekTok; + PP.LexNonComment(PeekTok); + + llvm::APSInt RHS(LHS.getBitWidth()); + // Parse the RHS of the operator. + DefinedTracker DT; + if (EvaluateValue(RHS, PeekTok, DT, RHSIsLive, PP)) return true; + + // Remember the precedence of this operator and get the precedence of the + // operator immediately to the right of the RHS. + unsigned ThisPrec = PeekPrec; + PeekPrec = getPrecedence(PeekTok.getKind()); + + // If this token isn't valid, report the error. + if (PeekPrec == ~0U) { + PP.Diag(PeekTok, diag::err_pp_expr_bad_token); + return true; + } + + bool isRightAssoc = Operator == tok::question; + + // Get the precedence of the operator to the right of the RHS. If it binds + // more tightly with RHS than we do, evaluate it completely first. + if (ThisPrec < PeekPrec || + (ThisPrec == PeekPrec && isRightAssoc)) { + if (EvaluateDirectiveSubExpr(RHS, ThisPrec+1, PeekTok, RHSIsLive, PP)) + return true; + PeekPrec = getPrecedence(PeekTok.getKind()); + } + assert(PeekPrec <= ThisPrec && "Recursion didn't work!"); + + // Usual arithmetic conversions (C99 6.3.1.8p1): result is unsigned if + // either operand is unsigned. Don't do this for x and y in "x ? y : z". + llvm::APSInt Res(LHS.getBitWidth()); + if (Operator != tok::question) { + Res.setIsUnsigned(LHS.isUnsigned()|RHS.isUnsigned()); + // If this just promoted something from signed to unsigned, and if the + // value was negative, warn about it. + if (ValueLive && Res.isUnsigned()) { + if (!LHS.isUnsigned() && LHS.isNegative()) + PP.Diag(OpToken, diag::warn_pp_convert_lhs_to_positive, + LHS.toString(10, true) + " to " + LHS.toString(10, false)); + if (!RHS.isUnsigned() && RHS.isNegative()) + PP.Diag(OpToken, diag::warn_pp_convert_rhs_to_positive, + RHS.toString(10, true) + " to " + RHS.toString(10, false)); + } + LHS.setIsUnsigned(Res.isUnsigned()); + RHS.setIsUnsigned(Res.isUnsigned()); + } + + // FIXME: All of these should detect and report overflow?? + bool Overflow = false; + switch (Operator) { + default: assert(0 && "Unknown operator token!"); + case tok::percent: + if (RHS == 0) { + if (ValueLive) PP.Diag(OpToken, diag::err_pp_remainder_by_zero); + return true; + } + Res = LHS % RHS; + break; + case tok::slash: + if (RHS == 0) { + if (ValueLive) PP.Diag(OpToken, diag::err_pp_division_by_zero); + return true; + } + Res = LHS / RHS; + if (LHS.isSigned()) + Overflow = LHS.isMinSignedValue() && RHS.isAllOnesValue(); // MININT/-1 + break; + case tok::star: + Res = LHS * RHS; + if (LHS != 0 && RHS != 0) + Overflow = Res/RHS != LHS || Res/LHS != RHS; + break; + case tok::lessless: { + // Determine whether overflow is about to happen. + unsigned ShAmt = RHS.getLimitedValue(); + if (ShAmt >= LHS.getBitWidth()) + Overflow = true, ShAmt = LHS.getBitWidth()-1; + else if (LHS.isUnsigned()) + Overflow = ShAmt > LHS.countLeadingZeros(); + else if (LHS.isPositive()) + Overflow = ShAmt >= LHS.countLeadingZeros(); // Don't allow sign change. + else + Overflow = ShAmt >= LHS.countLeadingOnes(); + + Res = LHS << ShAmt; + break; + } + case tok::greatergreater: { + // Determine whether overflow is about to happen. + unsigned ShAmt = RHS.getLimitedValue(); + if (ShAmt >= LHS.getBitWidth()) + Overflow = true, ShAmt = LHS.getBitWidth()-1; + Res = LHS >> ShAmt; + break; + } + case tok::plus: + Res = LHS + RHS; + if (LHS.isUnsigned()) + Overflow = Res.ult(LHS); + else if (LHS.isPositive() == RHS.isPositive() && + Res.isPositive() != LHS.isPositive()) + Overflow = true; // Overflow for signed addition. + break; + case tok::minus: + Res = LHS - RHS; + if (LHS.isUnsigned()) + Overflow = Res.ugt(LHS); + else if (LHS.isPositive() != RHS.isPositive() && + Res.isPositive() != LHS.isPositive()) + Overflow = true; // Overflow for signed subtraction. + break; + case tok::lessequal: + Res = LHS <= RHS; + Res.setIsUnsigned(false); // C99 6.5.8p6, result is always int (signed) + break; + case tok::less: + Res = LHS < RHS; + Res.setIsUnsigned(false); // C99 6.5.8p6, result is always int (signed) + break; + case tok::greaterequal: + Res = LHS >= RHS; + Res.setIsUnsigned(false); // C99 6.5.8p6, result is always int (signed) + break; + case tok::greater: + Res = LHS > RHS; + Res.setIsUnsigned(false); // C99 6.5.8p6, result is always int (signed) + break; + case tok::exclaimequal: + Res = LHS != RHS; + Res.setIsUnsigned(false); // C99 6.5.9p3, result is always int (signed) + break; + case tok::equalequal: + Res = LHS == RHS; + Res.setIsUnsigned(false); // C99 6.5.9p3, result is always int (signed) + break; + case tok::amp: + Res = LHS & RHS; + break; + case tok::caret: + Res = LHS ^ RHS; + break; + case tok::pipe: + Res = LHS | RHS; + break; + case tok::ampamp: + Res = (LHS != 0 && RHS != 0); + Res.setIsUnsigned(false); // C99 6.5.13p3, result is always int (signed) + break; + case tok::pipepipe: + Res = (LHS != 0 || RHS != 0); + Res.setIsUnsigned(false); // C99 6.5.14p3, result is always int (signed) + break; + case tok::comma: + PP.Diag(OpToken, diag::ext_pp_comma_expr); + Res = RHS; // LHS = LHS,RHS -> RHS. + break; + case tok::question: { + // Parse the : part of the expression. + if (PeekTok.getKind() != tok::colon) { + PP.Diag(OpToken, diag::err_pp_question_without_colon); + return true; + } + // Consume the :. + PP.LexNonComment(PeekTok); + + // Evaluate the value after the :. + bool AfterColonLive = ValueLive && LHS == 0; + llvm::APSInt AfterColonVal(LHS.getBitWidth()); + DefinedTracker DT; + if (EvaluateValue(AfterColonVal, PeekTok, DT, AfterColonLive, PP)) + return true; + + // Parse anything after the : RHS that has a higher precedence than ?. + if (EvaluateDirectiveSubExpr(AfterColonVal, ThisPrec+1, + PeekTok, AfterColonLive, PP)) + return true; + + // Now that we have the condition, the LHS and the RHS of the :, evaluate. + Res = LHS != 0 ? RHS : AfterColonVal; + + // Usual arithmetic conversions (C99 6.3.1.8p1): result is unsigned if + // either operand is unsigned. + Res.setIsUnsigned(RHS.isUnsigned() | AfterColonVal.isUnsigned()); + + // Figure out the precedence of the token after the : part. + PeekPrec = getPrecedence(PeekTok.getKind()); + break; + } + case tok::colon: + // Don't allow :'s to float around without being part of ?: exprs. + PP.Diag(OpToken, diag::err_pp_colon_without_question); + return true; + } + + // If this operator is live and overflowed, report the issue. + if (Overflow && ValueLive) + PP.Diag(OpToken, diag::warn_pp_expr_overflow); + + // Put the result back into 'LHS' for our next iteration. + LHS = Res; + } + + return false; +} + +/// EvaluateDirectiveExpression - Evaluate an integer constant expression that +/// may occur after a #if or #elif directive. If the expression is equivalent +/// to "!defined(X)" return X in IfNDefMacro. +bool Preprocessor:: +EvaluateDirectiveExpression(IdentifierInfo *&IfNDefMacro) { + // Peek ahead one token. + LexerToken Tok; + Lex(Tok); + + // C99 6.10.1p3 - All expressions are evaluated as intmax_t or uintmax_t. + unsigned BitWidth = getTargetInfo().getIntMaxTWidth(Tok.getLocation()); + llvm::APSInt ResVal(BitWidth); + DefinedTracker DT; + if (EvaluateValue(ResVal, Tok, DT, true, *this)) { + // Parse error, skip the rest of the macro line. + if (Tok.getKind() != tok::eom) + DiscardUntilEndOfDirective(); + return false; + } + + // If we are at the end of the expression after just parsing a value, there + // must be no (unparenthesized) binary operators involved, so we can exit + // directly. + if (Tok.getKind() == tok::eom) { + // If the expression we parsed was of the form !defined(macro), return the + // macro in IfNDefMacro. + if (DT.State == DefinedTracker::NotDefinedMacro) + IfNDefMacro = DT.TheMacro; + + return ResVal != 0; + } + + // Otherwise, we must have a binary operator (e.g. "#if 1 < 2"), so parse the + // operator and the stuff after it. + if (EvaluateDirectiveSubExpr(ResVal, 1, Tok, true, *this)) { + // Parse error, skip the rest of the macro line. + if (Tok.getKind() != tok::eom) + DiscardUntilEndOfDirective(); + return false; + } + + // If we aren't at the tok::eom token, something bad happened, like an extra + // ')' token. + if (Tok.getKind() != tok::eom) { + Diag(Tok, diag::err_pp_expected_eol); + DiscardUntilEndOfDirective(); + } + + return ResVal != 0; +} + |