diff options
author | Dan Liew <delcypher@gmail.com> | 2014-02-14 18:49:42 +0000 |
---|---|---|
committer | Dan Liew <delcypher@gmail.com> | 2014-02-14 18:49:42 +0000 |
commit | 66c064d482160e6c31ccf8ecb0aa93a7529d3da1 (patch) | |
tree | 1ed4ba4cc639b178f16d8a56bd75799d5033904e | |
parent | d2f1684355e9a99545aa864e3eac81b259712a6f (diff) | |
parent | 6e4e74b99a199ead458b0b919286d667bd8e8f28 (diff) | |
download | klee-66c064d482160e6c31ccf8ecb0aa93a7529d3da1.tar.gz |
Merge pull request #64 from delcypher/overshift-fix
Overshift fixes
-rw-r--r-- | lib/Solver/STPBuilder.cpp | 102 | ||||
-rw-r--r-- | lib/Solver/STPBuilder.h | 19 | ||||
-rw-r--r-- | test/Feature/arithmetic-right-overshift-sym-conc.c | 65 | ||||
-rw-r--r-- | test/Feature/left-overshift-sym-conc.c | 63 | ||||
-rw-r--r-- | test/Feature/logical-right-overshift-sym-conc.c | 65 | ||||
-rw-r--r-- | test/Solver/lit.local.cfg | 2 | ||||
-rw-r--r-- | test/Solver/overshift-aright-by-constant.kquery | 14 | ||||
-rw-r--r-- | test/Solver/overshift-aright-by-symbolic.kquery | 26 | ||||
-rw-r--r-- | test/Solver/overshift-left-by-constant.kquery | 14 | ||||
-rw-r--r-- | test/Solver/overshift-left-by-symbolic.kquery | 26 | ||||
-rw-r--r-- | test/Solver/overshift-lright-by-constant.kquery | 14 | ||||
-rw-r--r-- | test/Solver/overshift-lright-by-symbolic.kquery | 26 |
12 files changed, 369 insertions, 67 deletions
diff --git a/lib/Solver/STPBuilder.cpp b/lib/Solver/STPBuilder.cpp index 90252656..ad0df3c2 100644 --- a/lib/Solver/STPBuilder.cpp +++ b/lib/Solver/STPBuilder.cpp @@ -174,14 +174,13 @@ ExprHandle STPBuilder::eqExpr(ExprHandle a, ExprHandle b) { } // logical right shift -ExprHandle STPBuilder::bvRightShift(ExprHandle expr, unsigned amount, unsigned shiftBits) { +ExprHandle STPBuilder::bvRightShift(ExprHandle expr, unsigned shift) { unsigned width = vc_getBVLength(vc, expr); - unsigned shift = amount & ((1<<shiftBits) - 1); if (shift==0) { return expr; } else if (shift>=width) { - return bvZero(width); + return bvZero(width); // Overshift to zero } else { return vc_bvConcatExpr(vc, bvZero(shift), @@ -190,14 +189,13 @@ ExprHandle STPBuilder::bvRightShift(ExprHandle expr, unsigned amount, unsigned s } // logical left shift -ExprHandle STPBuilder::bvLeftShift(ExprHandle expr, unsigned amount, unsigned shiftBits) { +ExprHandle STPBuilder::bvLeftShift(ExprHandle expr, unsigned shift) { unsigned width = vc_getBVLength(vc, expr); - unsigned shift = amount & ((1<<shiftBits) - 1); if (shift==0) { return expr; } else if (shift>=width) { - return bvZero(width); + return bvZero(width); // Overshift to zero } else { // stp shift does "expr @ [0 x s]" which we then have to extract, // rolling our own gives slightly smaller exprs @@ -208,96 +206,97 @@ ExprHandle STPBuilder::bvLeftShift(ExprHandle expr, unsigned amount, unsigned sh } // left shift by a variable amount on an expression of the specified width -ExprHandle STPBuilder::bvVarLeftShift(ExprHandle expr, ExprHandle amount, unsigned width) { +ExprHandle STPBuilder::bvVarLeftShift(ExprHandle expr, ExprHandle shift) { + unsigned width = vc_getBVLength(vc, expr); ExprHandle res = bvZero(width); - int shiftBits = getShiftBits( width ); - - //get the shift amount (looking only at the bits appropriate for the given width) - ExprHandle shift = vc_bvExtract( vc, amount, shiftBits - 1, 0 ); - //construct a big if-then-elif-elif-... with one case per possible shift amount for( int i=width-1; i>=0; i-- ) { res = vc_iteExpr(vc, - eqExpr(shift, bvConst32(shiftBits, i)), - bvLeftShift(expr, i, shiftBits), + eqExpr(shift, bvConst32(width, i)), + bvLeftShift(expr, i), res); } + + // If overshifting, shift to zero + res = vc_iteExpr(vc, + vc_bvLtExpr(vc, shift, bvConst32(vc_getBVLength(vc,shift), width)), + res, + bvZero(width)); return res; } // logical right shift by a variable amount on an expression of the specified width -ExprHandle STPBuilder::bvVarRightShift(ExprHandle expr, ExprHandle amount, unsigned width) { +ExprHandle STPBuilder::bvVarRightShift(ExprHandle expr, ExprHandle shift) { + unsigned width = vc_getBVLength(vc, expr); ExprHandle res = bvZero(width); - int shiftBits = getShiftBits( width ); - - //get the shift amount (looking only at the bits appropriate for the given width) - ExprHandle shift = vc_bvExtract( vc, amount, shiftBits - 1, 0 ); - //construct a big if-then-elif-elif-... with one case per possible shift amount for( int i=width-1; i>=0; i-- ) { res = vc_iteExpr(vc, - eqExpr(shift, bvConst32(shiftBits, i)), - bvRightShift(expr, i, shiftBits), + eqExpr(shift, bvConst32(width, i)), + bvRightShift(expr, i), res); } + // If overshifting, shift to zero + res = vc_iteExpr(vc, + vc_bvLtExpr(vc, shift, bvConst32(vc_getBVLength(vc,shift), width)), + res, + bvZero(width)); return res; } // arithmetic right shift by a variable amount on an expression of the specified width -ExprHandle STPBuilder::bvVarArithRightShift(ExprHandle expr, ExprHandle amount, unsigned width) { - int shiftBits = getShiftBits( width ); - - //get the shift amount (looking only at the bits appropriate for the given width) - ExprHandle shift = vc_bvExtract( vc, amount, shiftBits - 1, 0 ); +ExprHandle STPBuilder::bvVarArithRightShift(ExprHandle expr, ExprHandle shift) { + unsigned width = vc_getBVLength(vc, expr); //get the sign bit to fill with ExprHandle signedBool = bvBoolExtract(expr, width-1); //start with the result if shifting by width-1 - ExprHandle res = constructAShrByConstant(expr, width-1, signedBool, shiftBits); + ExprHandle res = constructAShrByConstant(expr, width-1, signedBool); //construct a big if-then-elif-elif-... with one case per possible shift amount // XXX more efficient to move the ite on the sign outside all exprs? // XXX more efficient to sign extend, right shift, then extract lower bits? for( int i=width-2; i>=0; i-- ) { res = vc_iteExpr(vc, - eqExpr(shift, bvConst32(shiftBits,i)), + eqExpr(shift, bvConst32(width,i)), constructAShrByConstant(expr, i, - signedBool, - shiftBits), + signedBool), res); } + // If overshifting, shift to zero + res = vc_iteExpr(vc, + vc_bvLtExpr(vc, shift, bvConst32(vc_getBVLength(vc,shift), width)), + res, + bvZero(width)); return res; } ExprHandle STPBuilder::constructAShrByConstant(ExprHandle expr, - unsigned amount, - ExprHandle isSigned, - unsigned shiftBits) { + unsigned shift, + ExprHandle isSigned) { unsigned width = vc_getBVLength(vc, expr); - unsigned shift = amount & ((1<<shiftBits) - 1); if (shift==0) { return expr; } else if (shift>=width-1) { - return vc_iteExpr(vc, isSigned, bvMinusOne(width), bvZero(width)); + return bvZero(width); // Overshift to zero } else { return vc_iteExpr(vc, isSigned, ExprHandle(vc_bvConcatExpr(vc, bvMinusOne(shift), bvExtract(expr, width - 1, shift))), - bvRightShift(expr, shift, shiftBits)); + bvRightShift(expr, shift)); } } ExprHandle STPBuilder::constructMulByConstant(ExprHandle expr, unsigned width, uint64_t x) { - unsigned shiftBits = getShiftBits(width); uint64_t add, sub; ExprHandle res = 0; @@ -313,7 +312,7 @@ ExprHandle STPBuilder::constructMulByConstant(ExprHandle expr, unsigned width, u if ((add&bit) || (sub&bit)) { assert(!((add&bit) && (sub&bit)) && "invalid mult constants"); - ExprHandle op = bvLeftShift(expr, j, shiftBits); + ExprHandle op = bvLeftShift(expr, j); if (add&bit) { if (res) { @@ -367,9 +366,9 @@ ExprHandle STPBuilder::constructUDivByConstant(ExprHandle expr_n, unsigned width // n/d = (((n - t1) >> sh1) + t1) >> sh2; ExprHandle n_minus_t1 = vc_bvMinusExpr( vc, width, expr_n, t1 ); - ExprHandle shift_sh1 = bvVarRightShift( n_minus_t1, expr_sh1, 32 ); + ExprHandle shift_sh1 = bvVarRightShift( n_minus_t1, expr_sh1); ExprHandle plus_t1 = vc_bvPlusExpr( vc, width, shift_sh1, t1 ); - ExprHandle res = bvVarRightShift( plus_t1, expr_sh2, 32 ); + ExprHandle res = bvVarRightShift( plus_t1, expr_sh2); return res; } @@ -407,7 +406,7 @@ ExprHandle STPBuilder::constructSDivByConstant(ExprHandle expr_n, unsigned width // Improved variable arithmetic right shift: sign extend, shift, // extract. ExprHandle extend_npm = vc_bvSignExtend( vc, n_plus_mulsh, 64 ); - ExprHandle shift_npm = bvVarRightShift( extend_npm, expr_shpost, 64 ); + ExprHandle shift_npm = bvVarRightShift( extend_npm, expr_shpost); ExprHandle shift_shpost = vc_bvExtract( vc, shift_npm, 31, 0 ); //lower 32-bits // XSIGN(n) is -1 if n is negative, positive one otherwise @@ -659,8 +658,7 @@ ExprHandle STPBuilder::constructActual(ref<Expr> e, int *width_out) { if (bits64::isPowerOfTwo(divisor)) { return bvRightShift(left, - bits64::indexOfSingleBit(divisor), - getShiftBits(*width_out)); + bits64::indexOfSingleBit(divisor)); } else if (optimizeDivides) { if (*width_out == 32) //only works for 32-bit division return constructUDivByConstant( left, *width_out, @@ -810,28 +808,25 @@ ExprHandle STPBuilder::constructActual(ref<Expr> e, int *width_out) { assert(*width_out!=1 && "uncanonicalized shl"); if (ConstantExpr *CE = dyn_cast<ConstantExpr>(se->right)) { - return bvLeftShift(left, (unsigned) CE->getLimitedValue(), - getShiftBits(*width_out)); + return bvLeftShift(left, (unsigned) CE->getLimitedValue()); } else { int shiftWidth; ExprHandle amount = construct(se->right, &shiftWidth); - return bvVarLeftShift( left, amount, *width_out ); + return bvVarLeftShift( left, amount); } } case Expr::LShr: { LShrExpr *lse = cast<LShrExpr>(e); ExprHandle left = construct(lse->left, width_out); - unsigned shiftBits = getShiftBits(*width_out); assert(*width_out!=1 && "uncanonicalized lshr"); if (ConstantExpr *CE = dyn_cast<ConstantExpr>(lse->right)) { - return bvRightShift(left, (unsigned) CE->getLimitedValue(), - shiftBits); + return bvRightShift(left, (unsigned) CE->getLimitedValue()); } else { int shiftWidth; ExprHandle amount = construct(lse->right, &shiftWidth); - return bvVarRightShift( left, amount, *width_out ); + return bvVarRightShift( left, amount); } } @@ -843,12 +838,11 @@ ExprHandle STPBuilder::constructActual(ref<Expr> e, int *width_out) { if (ConstantExpr *CE = dyn_cast<ConstantExpr>(ase->right)) { unsigned shift = (unsigned) CE->getLimitedValue(); ExprHandle signedBool = bvBoolExtract(left, *width_out-1); - return constructAShrByConstant(left, shift, signedBool, - getShiftBits(*width_out)); + return constructAShrByConstant(left, shift, signedBool); } else { int shiftWidth; ExprHandle amount = construct(ase->right, &shiftWidth); - return bvVarArithRightShift( left, amount, *width_out ); + return bvVarArithRightShift( left, amount); } } diff --git a/lib/Solver/STPBuilder.h b/lib/Solver/STPBuilder.h index 0a99b753..ef1cd8b3 100644 --- a/lib/Solver/STPBuilder.h +++ b/lib/Solver/STPBuilder.h @@ -79,13 +79,6 @@ class STPBuilder { STPArrayExprHash _arr_hash; private: - unsigned getShiftBits(unsigned amount) { - unsigned bits = 1; - amount--; - while (amount >>= 1) - bits++; - return bits; - } ExprHandle bvOne(unsigned width); ExprHandle bvZero(unsigned width); @@ -100,14 +93,14 @@ private: ExprHandle eqExpr(ExprHandle a, ExprHandle b); //logical left and right shift (not arithmetic) - ExprHandle bvLeftShift(ExprHandle expr, unsigned shift, unsigned shiftBits); - ExprHandle bvRightShift(ExprHandle expr, unsigned amount, unsigned shiftBits); - ExprHandle bvVarLeftShift(ExprHandle expr, ExprHandle amount, unsigned width); - ExprHandle bvVarRightShift(ExprHandle expr, ExprHandle amount, unsigned width); - ExprHandle bvVarArithRightShift(ExprHandle expr, ExprHandle amount, unsigned width); + ExprHandle bvLeftShift(ExprHandle expr, unsigned shift); + ExprHandle bvRightShift(ExprHandle expr, unsigned shift); + ExprHandle bvVarLeftShift(ExprHandle expr, ExprHandle shift); + ExprHandle bvVarRightShift(ExprHandle expr, ExprHandle shift); + ExprHandle bvVarArithRightShift(ExprHandle expr, ExprHandle shift); ExprHandle constructAShrByConstant(ExprHandle expr, unsigned shift, - ExprHandle isSigned, unsigned shiftBits); + ExprHandle isSigned); ExprHandle constructMulByConstant(ExprHandle expr, unsigned width, uint64_t x); ExprHandle constructUDivByConstant(ExprHandle expr_n, unsigned width, uint64_t d); ExprHandle constructSDivByConstant(ExprHandle expr_n, unsigned width, uint64_t d); diff --git a/test/Feature/arithmetic-right-overshift-sym-conc.c b/test/Feature/arithmetic-right-overshift-sym-conc.c new file mode 100644 index 00000000..81995b2b --- /dev/null +++ b/test/Feature/arithmetic-right-overshift-sym-conc.c @@ -0,0 +1,65 @@ +// RUN: %llvmgcc %s -emit-llvm -g -O0 -c -o %t.bc +// RUN: %klee -use-cex-cache=1 -check-overshift=0 %t.bc +// RUN: not grep "ASSERTION FAIL" %T/klee-last/messages.txt +// RUN: grep "KLEE: done: explored paths = 1" %T/klee-last/info +#include <stdio.h> +#include <assert.h> + +typedef enum +{ + TO_ZERO, + MASKED, + UNKNOWN +} overshift_t; + +// We're using signed ints so should be doing +// arithmetic right shift. +int overshift(volatile unsigned int y, const char * type) +{ + overshift_t ret; + volatile signed int x=15; + unsigned int limit = sizeof(x)*8; + + volatile signed int result; + result = x >> y; // Potential overshift + + if (result ==0) + { + printf("%s : Overshift to zero\n", type); + ret = TO_ZERO; + } + else if (result == ( x >> (y % limit)) ) + { + printf("%s : Bitmasked overshift\n", type); + ret = MASKED; + } + else + { + printf("%s : Unrecognised behaviour.\n", type); + ret = UNKNOWN; + } + + return ret; +} + +int main(int argc, char** argv) +{ + // Concrete overshift + volatile unsigned int y = sizeof(unsigned int)*8; + overshift_t conc = overshift(y, "Concrete"); + assert( conc == TO_ZERO); + + // Symbolic overshift + volatile unsigned int y2; + klee_make_symbolic(&y2,sizeof(y),"y2"); + // Add constraints so only one value possible + klee_assume(y2 > (y-1)); + klee_assume(y2 < (y+1)); + overshift_t sym = overshift(y2, "Symbolic"); + assert( sym == TO_ZERO); + + // Concrete and symbolic behaviour should be the same + assert( conc == sym); + + return 0; +} diff --git a/test/Feature/left-overshift-sym-conc.c b/test/Feature/left-overshift-sym-conc.c new file mode 100644 index 00000000..e962fa28 --- /dev/null +++ b/test/Feature/left-overshift-sym-conc.c @@ -0,0 +1,63 @@ +// RUN: %llvmgcc %s -emit-llvm -g -O0 -c -o %t.bc +// RUN: %klee -use-cex-cache=1 -check-overshift=0 %t.bc +// RUN: not grep "ASSERTION FAIL" %T/klee-last/messages.txt +// RUN: grep "KLEE: done: explored paths = 1" %T/klee-last/info +#include <stdio.h> +#include <assert.h> + +typedef enum +{ + TO_ZERO, + MASKED, + UNKNOWN +} overshift_t; + +int overshift(volatile unsigned int y, const char * type) +{ + overshift_t ret; + volatile unsigned int x=15; + unsigned int limit = sizeof(x)*8; + + volatile unsigned int result; + result = x << y; // Potential overshift + + if (result ==0) + { + printf("%s : Overshift to zero\n", type); + ret = TO_ZERO; + } + else if (result == ( x << (y % limit)) ) + { + printf("%s : Bitmasked overshift\n", type); + ret = MASKED; + } + else + { + printf("%s : Unrecognised behaviour.\n", type); + ret = UNKNOWN; + } + + return ret; +} + +int main(int argc, char** argv) +{ + // Concrete overshift + volatile unsigned int y = sizeof(unsigned int)*8; + overshift_t conc = overshift(y, "Concrete"); + assert( conc == TO_ZERO); + + // Symbolic overshift + volatile unsigned int y2; + klee_make_symbolic(&y2,sizeof(y),"y2"); + // Add constraints so only one value possible + klee_assume(y2 > (y-1)); + klee_assume(y2 < (y+1)); + overshift_t sym = overshift(y2, "Symbolic"); + assert( sym == TO_ZERO); + + // Concrete and symbolic behaviour should be the same + assert( conc == sym); + + return 0; +} diff --git a/test/Feature/logical-right-overshift-sym-conc.c b/test/Feature/logical-right-overshift-sym-conc.c new file mode 100644 index 00000000..00281ec4 --- /dev/null +++ b/test/Feature/logical-right-overshift-sym-conc.c @@ -0,0 +1,65 @@ +// RUN: %llvmgcc %s -emit-llvm -g -O0 -c -o %t.bc +// RUN: %klee -use-cex-cache=1 -check-overshift=0 %t.bc +// RUN: not grep "ASSERTION FAIL" %T/klee-last/messages.txt +// RUN: grep "KLEE: done: explored paths = 1" %T/klee-last/info +#include <stdio.h> +#include <assert.h> + +typedef enum +{ + TO_ZERO, + MASKED, + UNKNOWN +} overshift_t; + +// We're using unsigned ints so should be doing +// logical right shift. +int overshift(volatile unsigned int y, const char * type) +{ + overshift_t ret; + volatile unsigned int x=15; + unsigned int limit = sizeof(x)*8; + + volatile unsigned int result; + result = x >> y; // Potential overshift + + if (result ==0) + { + printf("%s : Overshift to zero\n", type); + ret = TO_ZERO; + } + else if (result == ( x >> (y % limit)) ) + { + printf("%s : Bitmasked overshift\n", type); + ret = MASKED; + } + else + { + printf("%s : Unrecognised behaviour.\n", type); + ret = UNKNOWN; + } + + return ret; +} + +int main(int argc, char** argv) +{ + // Concrete overshift + volatile unsigned int y = sizeof(unsigned int)*8; + overshift_t conc = overshift(y, "Concrete"); + assert( conc == TO_ZERO); + + // Symbolic overshift + volatile unsigned int y2; + klee_make_symbolic(&y2,sizeof(y),"y2"); + // Add constraints so only one value possible + klee_assume(y2 > (y-1)); + klee_assume(y2 < (y+1)); + overshift_t sym = overshift(y2, "Symbolic"); + assert( sym == TO_ZERO); + + // Concrete and symbolic behaviour should be the same + assert( conc == sym); + + return 0; +} diff --git a/test/Solver/lit.local.cfg b/test/Solver/lit.local.cfg new file mode 100644 index 00000000..d64daf29 --- /dev/null +++ b/test/Solver/lit.local.cfg @@ -0,0 +1,2 @@ +# Look for .kquery files too +config.suffixes.add('.kquery') diff --git a/test/Solver/overshift-aright-by-constant.kquery b/test/Solver/overshift-aright-by-constant.kquery new file mode 100644 index 00000000..c21889e2 --- /dev/null +++ b/test/Solver/overshift-aright-by-constant.kquery @@ -0,0 +1,14 @@ +# RUN: %kleaver %s > %t +# RUN: not grep INVALID %t +array x[4] : w32 -> w8 = symbolic +# ∀ x. x > 0 → ( ((signed int) x) >> 32 = 0 ) +# Check we overshift to zero for when shifting for all 32-bit values >0 + +(query [ (Ult (w32 0) (ReadLSB w32 (w32 0) x)) ] + (Eq + (AShr w32 + (ReadLSB w32 (w32 0) x) + (w32 32) + ) + (w32 0) + ) [ ] [x] ) diff --git a/test/Solver/overshift-aright-by-symbolic.kquery b/test/Solver/overshift-aright-by-symbolic.kquery new file mode 100644 index 00000000..af563ea3 --- /dev/null +++ b/test/Solver/overshift-aright-by-symbolic.kquery @@ -0,0 +1,26 @@ +# RUN: %kleaver %s > %t +# RUN: not grep INVALID %t + +array shift[4] : w32 -> w8 = symbolic +# ∀ x. x >= 32 → ( ( ( (signed int)2 ) >> x) = 0 ) +# Check we arithmetic right overshift to zero when shifting a constant ALWAYS! + +(query [ (Ule (w32 32) (ReadLSB w32 (w32 0) shift)) ] + (Eq + (AShr w32 (w32 2) + (ReadLSB w32 (w32 0) shift) + ) + (w32 0) + ) [ ] [shift] ) + +# 64-bit version +# ∀ x. x >= 64 → ( (((signed int) 2) >> x) = 0 ) +array shift64[8] : w32 -> w8 = symbolic + +(query [ (Ule (w64 64) (ReadLSB w64 (w32 0) shift64)) ] + (Eq + (AShr w64 (w64 2) + (ReadLSB w64 (w32 0) shift64) + ) + (w64 0) + ) [ ] [shift64] ) diff --git a/test/Solver/overshift-left-by-constant.kquery b/test/Solver/overshift-left-by-constant.kquery new file mode 100644 index 00000000..e0709100 --- /dev/null +++ b/test/Solver/overshift-left-by-constant.kquery @@ -0,0 +1,14 @@ +# RUN: %kleaver %s > %t +# RUN: not grep INVALID %t +array x[4] : w32 -> w8 = symbolic +# ∀ x. x > 0 → ( x << 32 = 0 ) +# Check we overshift to zero for when shifting for all 32-bit values >0 + +(query [ (Ult (w32 0) (ReadLSB w32 (w32 0) x)) ] + (Eq + (Shl w32 + (ReadLSB w32 (w32 0) x) + (w32 32) + ) + (w32 0) + ) [ ] [x] ) diff --git a/test/Solver/overshift-left-by-symbolic.kquery b/test/Solver/overshift-left-by-symbolic.kquery new file mode 100644 index 00000000..9d0d272c --- /dev/null +++ b/test/Solver/overshift-left-by-symbolic.kquery @@ -0,0 +1,26 @@ +# RUN: %kleaver %s > %t +# RUN: not grep INVALID %t + +array shift[4] : w32 -> w8 = symbolic +# ∀ x. x >= 32 → ( (2 << x) = 0 ) +# Check we left overshift to zero when shifting a constant ALWAYS! + +(query [ (Ule (w32 32) (ReadLSB w32 (w32 0) shift)) ] + (Eq + (Shl w32 (w32 2) + (ReadLSB w32 (w32 0) shift) + ) + (w32 0) + ) [ ] [shift] ) + +# 64-bit version +# ∀ x. x >= 64 → ( (2 << x) = 0 ) +array shift64[8] : w32 -> w8 = symbolic + +(query [ (Ule (w64 64) (ReadLSB w64 (w32 0) shift64)) ] + (Eq + (Shl w64 (w64 2) + (ReadLSB w64 (w32 0) shift64) + ) + (w64 0) + ) [ ] [shift64] ) diff --git a/test/Solver/overshift-lright-by-constant.kquery b/test/Solver/overshift-lright-by-constant.kquery new file mode 100644 index 00000000..cb223dd5 --- /dev/null +++ b/test/Solver/overshift-lright-by-constant.kquery @@ -0,0 +1,14 @@ +# RUN: %kleaver %s > %t +# RUN: not grep INVALID %t +array x[4] : w32 -> w8 = symbolic +# ∀ x. x > 0 → ( x >> 32 = 0 ) +# Check we overshift to zero for when shifting for all 32-bit values >0 + +(query [ (Ult (w32 0) (ReadLSB w32 (w32 0) x)) ] + (Eq + (LShr w32 + (ReadLSB w32 (w32 0) x) + (w32 32) + ) + (w32 0) + ) [ ] [x] ) diff --git a/test/Solver/overshift-lright-by-symbolic.kquery b/test/Solver/overshift-lright-by-symbolic.kquery new file mode 100644 index 00000000..7ca6d4d5 --- /dev/null +++ b/test/Solver/overshift-lright-by-symbolic.kquery @@ -0,0 +1,26 @@ +# RUN: %kleaver %s > %t +# RUN: not grep INVALID %t + +array shift[4] : w32 -> w8 = symbolic +# ∀ x. x >= 32 → ( (2 >> x) = 0 ) +# Check we logical right overshift to zero when shifting a constant ALWAYS! + +(query [ (Ule (w32 32) (ReadLSB w32 (w32 0) shift)) ] + (Eq + (LShr w32 (w32 2) + (ReadLSB w32 (w32 0) shift) + ) + (w32 0) + ) [ ] [shift] ) + +# 64-bit version +# ∀ x. x >= 64 → ( (2 >> x) = 0 ) +array shift64[8] : w32 -> w8 = symbolic + +(query [ (Ule (w64 64) (ReadLSB w64 (w32 0) shift64)) ] + (Eq + (LShr w64 (w64 2) + (ReadLSB w64 (w32 0) shift64) + ) + (w64 0) + ) [ ] [shift64] ) |