/******************************************************************** * AUTHORS: Vijay Ganesh, Trevor Hansen, Dan Liew * * BEGIN DATE: November, 2005 * Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. ********************************************************************/ #include "stp/Simplifier/constantBitP/ConstantBitP_TransferFunctions.h" #include "stp/Simplifier/constantBitP/ConstantBitP_Utility.h" // FIXME: External library #include "extlib-constbv/constantbv.h" // The signed and unsigned versions of the four comparison operations: > < >= <= // Establishes consistency over the intervals of the operations. Then // increase the minimum value by turning on the highest unfixed bit. // If that takes us past the other value's maximum. Then that bit // must be zero. // Trevor Hansen. BSD License. namespace simplifier { namespace constantBitP { Result bvSignedLessThanBothWays(FixedBits& c0, FixedBits& c1, FixedBits& output); Result bvSignedLessThanEqualsBothWays(FixedBits& c0, FixedBits& c1, FixedBits& output); Result bvSignedLessThanBothWays(vector& children, FixedBits& output) { assert(children.size() == 2); return bvSignedLessThanBothWays(*children[0], *children[1], output); } Result bvSignedGreaterThanBothWays(FixedBits& c0, FixedBits& c1, FixedBits& output) { return bvSignedLessThanBothWays(c1, c0, output); } Result bvSignedGreaterThanBothWays(vector& children, FixedBits& output) { assert(children.size() == 2); return bvSignedLessThanBothWays(*children[1], *children[0], output); } Result bvSignedLessThanEqualsBothWays(vector& children, FixedBits& output) { assert(children.size() == 2); return bvSignedLessThanEqualsBothWays(*children[0], *children[1], output); } Result bvSignedGreaterThanEqualsBothWays(FixedBits& c0, FixedBits& c1, FixedBits& output) { return bvSignedLessThanEqualsBothWays(c1, c0, output); } Result bvSignedGreaterThanEqualsBothWays(vector& children, FixedBits& output) { assert(children.size() == 2); return bvSignedLessThanEqualsBothWays(*children[1], *children[0], output); } ///////// UNSIGNED. Result bvLessThanBothWays(FixedBits& c0, FixedBits& c1, FixedBits& output); Result bvLessThanEqualsBothWays(FixedBits& c0, FixedBits& c1, FixedBits& output); Result bvLessThanBothWays(vector& children, FixedBits& output) { assert(children.size() == 2); return bvLessThanBothWays(*children[0], *children[1], output); } Result bvGreaterThanBothWays(vector& children, FixedBits& output) { assert(children.size() == 2); return bvLessThanBothWays(*children[1], *children[0], output); } Result bvGreaterThanBothWays(FixedBits& c0, FixedBits& c1, FixedBits& output) { return bvLessThanBothWays(c1, c0, output); } Result bvGreaterThanEqualsBothWays(vector& children, FixedBits& result) { assert(children.size() == 2); return bvLessThanEqualsBothWays(*children[1], *children[0], result); } Result bvGreaterThanEqualsBothWays(FixedBits& c0, FixedBits& c1, FixedBits& output) { return bvLessThanEqualsBothWays(c1, c0, output); } Result bvLessThanEqualsBothWays(vector& children, FixedBits& output) { assert(children.size() == 2); return bvLessThanEqualsBothWays(*children[0], *children[1], output); } typedef unsigned int* CBV; void destroy(CBV a, CBV b, CBV c, CBV d) { CONSTANTBV::BitVector_Destroy(a); CONSTANTBV::BitVector_Destroy(b); CONSTANTBV::BitVector_Destroy(c); CONSTANTBV::BitVector_Destroy(d); } // Fast exit. Without creating min/max. bool fast_exit(FixedBits& c0, FixedBits& c1) { assert(c0.getWidth() == c1.getWidth()); for (int i = (int)c0.getWidth() - 1; i >= 0; i--) { const char c_0 = c0[i]; const char c_1 = c1[i]; if (c_0 == '0') { if (c_1 == '0') { continue; } return false; } if (c_0 == '1') { if (c_1 == '1') { continue; } return false; } if (c_0 == '*' && c_1 == '*') { return true; } return false; } return false; } ///////// Signed operations. Result bvSignedLessThanBothWays(FixedBits& c0, FixedBits& c1, FixedBits& output) { assert(c0.getWidth() == c1.getWidth()); if (!output.isFixed(0) && fast_exit(c0, c1)) return NO_CHANGE; CBV c0_min = CONSTANTBV::BitVector_Create(c0.getWidth(), true); CBV c0_max = CONSTANTBV::BitVector_Create(c0.getWidth(), true); CBV c1_min = CONSTANTBV::BitVector_Create(c0.getWidth(), true); CBV c1_max = CONSTANTBV::BitVector_Create(c0.getWidth(), true); setSignedMinMax(c0, c0_min, c0_max); setSignedMinMax(c1, c1_min, c1_max); // EG. [0,5] < [6,8]. i.e. max of first is less than min of second. if (signedCompare(c0_max, c1_min) < 0) { if (output.isFixed(0) && !output.getValue(0)) // output is fixed to false. { destroy(c0_min, c0_max, c1_min, c1_max); return CONFLICT; } if (!output.isFixed(0)) { output.setFixed(0, true); output.setValue(0, true); } } // EG. [3,5] < [0,1]. if (signedCompare(c0_min, c1_max) >= 0) { // min is greater than max. if (output.isFixed(0) && output.getValue(0)) { destroy(c0_min, c0_max, c1_min, c1_max); return CONFLICT; } if (!output.isFixed(0)) { output.setFixed(0, true); output.setValue(0, false); } } if (output.isFixed(0) && !output.getValue(0)) { FixedBits t(1, true); t.setFixed(0, true); t.setValue(0, true); destroy(c0_min, c0_max, c1_min, c1_max); return bvSignedGreaterThanEqualsBothWays(c0, c1, t); } const int msb = c0.getWidth() - 1; // The signed case. if (output.isFixed(0) && output.getValue(0)) { //////////// MSB // turn off the sign bit of c0's minimum. // If that value is greater or equal to c1's max. SEt it. if (!c0.isFixed(msb)) { // turn it on in the minimum. CONSTANTBV::BitVector_Bit_Off(c0_min, msb); if (signedCompare(c0_min, c1_max) >= 0) { c0.setFixed(msb, true); c0.setValue(msb, true); setSignedMinMax(c0, c0_min, c0_max); } else { CONSTANTBV::BitVector_Bit_On(c0_min, msb); } } if (!c1.isFixed(msb)) { CONSTANTBV::BitVector_Bit_On(c1_max, msb); if (signedCompare(c1_max, c0_min) <= 0) { c1.setFixed(msb, true); c1.setValue(msb, false); setSignedMinMax(c1, c1_min, c1_max); } else { CONSTANTBV::BitVector_Bit_Off(c1_max, msb); } } ///////////// Bits other than the MSB if (output.isFixed(0) && output.getValue(0)) { for (int i = (int)c0.getWidth() - 1 - 1; i >= 0; i--) { if (!c0.isFixed(i)) { // turn it on in the minimum. CONSTANTBV::BitVector_Bit_On(c0_min, i); if (signedCompare(c0_min, c1_max) >= 0) { c0.setFixed(i, true); c0.setValue(i, false); setSignedMinMax(c0, c0_min, c0_max); } else { CONSTANTBV::BitVector_Bit_Off(c0_min, i); break; } } } for (int i = (int)c1.getWidth() - 1 - 1; i >= 0; i--) { if (!c1.isFixed(i)) { CONSTANTBV::BitVector_Bit_Off(c1_max, i); if (signedCompare(c1_max, c0_min) <= 0) { c1.setFixed(i, true); c1.setValue(i, true); setSignedMinMax(c1, c1_min, c1_max); } else { CONSTANTBV::BitVector_Bit_On(c1_max, i); break; } } } } } destroy(c0_min, c0_max, c1_min, c1_max); return NOT_IMPLEMENTED; } Result bvSignedLessThanEqualsBothWays(FixedBits& c0, FixedBits& c1, FixedBits& output) { assert(c0.getWidth() == c1.getWidth()); if (!output.isFixed(0) && fast_exit(c0, c1)) return NO_CHANGE; CBV c0_min = CONSTANTBV::BitVector_Create(c0.getWidth(), true); CBV c0_max = CONSTANTBV::BitVector_Create(c0.getWidth(), true); CBV c1_min = CONSTANTBV::BitVector_Create(c0.getWidth(), true); CBV c1_max = CONSTANTBV::BitVector_Create(c0.getWidth(), true); setSignedMinMax(c0, c0_min, c0_max); setSignedMinMax(c1, c1_min, c1_max); if (signedCompare(c0_max, c1_min) <= 0) { if (output.isFixed(0) && !output.getValue(0)) { destroy(c0_min, c0_max, c1_min, c1_max); return CONFLICT; } if (!output.isFixed(0)) { output.setFixed(0, true); output.setValue(0, true); } } if (signedCompare(c0_min, c1_max) > 0) { if (output.isFixed(0) && output.getValue(0)) { destroy(c0_min, c0_max, c1_min, c1_max); return CONFLICT; } if (!output.isFixed(0)) { output.setFixed(0, true); output.setValue(0, false); } } // If true. Reverse and send to the other.. if (output.isFixed(0) && !output.getValue(0)) { FixedBits t(1, true); t.setFixed(0, true); t.setValue(0, true); destroy(c0_min, c0_max, c1_min, c1_max); return bvSignedGreaterThanBothWays(c0, c1, t); } const int msb = c0.getWidth() - 1; if (output.isFixed(0) && output.getValue(0)) { //////////// MSB // turn off the sign bit of c0's minimum. // If that value is greater or equal to c1's max. SEt it. if (!c0.isFixed(msb)) { // turn it on in the minimum. CONSTANTBV::BitVector_Bit_Off(c0_min, msb); if (signedCompare(c0_min, c1_max) > 0) { c0.setFixed(msb, true); c0.setValue(msb, true); setSignedMinMax(c0, c0_min, c0_max); } else { CONSTANTBV::BitVector_Bit_On(c0_min, msb); } } if (!c1.isFixed(msb)) { CONSTANTBV::BitVector_Bit_On(c1_max, msb); if (signedCompare(c1_max, c0_min) < 0) { c1.setFixed(msb, true); c1.setValue(msb, false); setSignedMinMax(c1, c1_min, c1_max); } else { CONSTANTBV::BitVector_Bit_Off(c1_max, msb); } } //////////// Others. // Starting from the high order. Turn on each bit in turn. If it being // turned on pushes it past the max of the other side // then we know it must be turned off. for (int i = (int)c0.getWidth() - 1 - 1; i >= 0; i--) { if (!c0.isFixed(i)) // bit is variable. { // turn it on in the minimum. CONSTANTBV::BitVector_Bit_On(c0_min, i); if (signedCompare(c0_min, c1_max) > 0) { c0.setFixed(i, true); c0.setValue(i, false); setSignedMinMax(c0, c0_min, c0_max); } else { CONSTANTBV::BitVector_Bit_Off(c0_min, i); break; } } } // Starting from the high order. Turn on each bit in turn. If it being // turned on pushes it past the max of the other side // then we know it must be turned off. for (int i = (int)c0.getWidth() - 1 - 1; i >= 0; i--) { if (!c1.isFixed(i)) // bit is variable. { // turn it on in the minimum. CONSTANTBV::BitVector_Bit_Off(c1_max, i); if (signedCompare(c1_max, c0_min) < 0) { c1.setFixed(i, true); c1.setValue(i, true); setSignedMinMax(c1, c1_min, c1_max); } else { CONSTANTBV::BitVector_Bit_On(c1_max, i); break; } } } } destroy(c0_min, c0_max, c1_min, c1_max); return NOT_IMPLEMENTED; } ///////////////////////// UNSIGNED. // UNSIGNED!! Result bvLessThanBothWays(FixedBits& c0, FixedBits& c1, FixedBits& output) { assert(c0.getWidth() == c1.getWidth()); if (!output.isFixed(0) && fast_exit(c0, c1)) return NO_CHANGE; CBV c0_min = CONSTANTBV::BitVector_Create(c0.getWidth(), true); CBV c0_max = CONSTANTBV::BitVector_Create(c0.getWidth(), true); CBV c1_min = CONSTANTBV::BitVector_Create(c0.getWidth(), true); CBV c1_max = CONSTANTBV::BitVector_Create(c0.getWidth(), true); setUnsignedMinMax(c0, c0_min, c0_max); setUnsignedMinMax(c1, c1_min, c1_max); // EG. [0,5] < [6,8]. i.e. max of first is less than min of second. if (unsignedCompare(c0_max, c1_min) < 0) { if (output.isFixed(0) && !output.getValue(0)) // output is fixed to false. { destroy(c0_min, c0_max, c1_min, c1_max); return CONFLICT; } if (!output.isFixed(0)) { output.setFixed(0, true); output.setValue(0, true); } } // EG. [3,5] < [0,1]. if (unsignedCompare(c0_min, c1_max) >= 0) { // min is greater than max. if (output.isFixed(0) && output.getValue(0)) { destroy(c0_min, c0_max, c1_min, c1_max); return CONFLICT; } if (!output.isFixed(0)) { output.setFixed(0, true); output.setValue(0, false); } } // If true. Reverse and send to the other. if (output.isFixed(0) && !output.getValue(0)) { FixedBits t(1, true); t.setFixed(0, true); t.setValue(0, true); destroy(c0_min, c0_max, c1_min, c1_max); return bvGreaterThanEqualsBothWays(c0, c1, t); } if (output.isFixed(0) && output.getValue(0)) { // Starting from the high order. Turn on each bit in turn. If it being // turned on pushes it past the max of the other side // then we know it must be turned off. for (int i = (int)c0.getWidth() - 1; i >= 0; i--) { if (!c0.isFixed(i)) // bit is variable. { // turn it on in the minimum. CONSTANTBV::BitVector_Bit_On(c0_min, i); if (unsignedCompare(c0_min, c1_max) >= 0) { c0.setFixed(i, true); c0.setValue(i, false); setUnsignedMinMax(c0, c0_min, c0_max); } else { CONSTANTBV::BitVector_Bit_Off(c0_min, i); break; } } } for (int i = (int)c1.getWidth() - 1; i >= 0; i--) { if (!c1.isFixed(i)) // bit is variable. { CONSTANTBV::BitVector_Bit_Off(c1_max, i); if (unsignedCompare(c1_max, c0_min) <= 0) { c1.setFixed(i, true); c1.setValue(i, true); setUnsignedMinMax(c1, c1_min, c1_max); } else { CONSTANTBV::BitVector_Bit_On(c1_max, i); break; } } } } destroy(c0_min, c0_max, c1_min, c1_max); return NOT_IMPLEMENTED; } Result bvLessThanEqualsBothWays(FixedBits& c0, FixedBits& c1, FixedBits& output) { assert(c0.getWidth() == c1.getWidth()); if (!output.isFixed(0) && fast_exit(c0, c1)) return NO_CHANGE; CBV c0_min = CONSTANTBV::BitVector_Create(c0.getWidth(), true); CBV c0_max = CONSTANTBV::BitVector_Create(c0.getWidth(), true); CBV c1_min = CONSTANTBV::BitVector_Create(c0.getWidth(), true); CBV c1_max = CONSTANTBV::BitVector_Create(c0.getWidth(), true); setUnsignedMinMax(c0, c0_min, c0_max); setUnsignedMinMax(c1, c1_min, c1_max); // EG. [0,5] <= [6,8]. i.e. max of first is less than min of second. if (unsignedCompare(c0_max, c1_min) <= 0) { if (output.isFixed(0) && !output.getValue(0)) // output is fixed to false. { destroy(c0_min, c0_max, c1_min, c1_max); return CONFLICT; } if (!output.isFixed(0)) { output.setFixed(0, true); output.setValue(0, true); } } // EG. [3,5] <= [0,1]. if (unsignedCompare(c0_min, c1_max) > 0) { if (output.isFixed(0) && output.getValue(0)) { destroy(c0_min, c0_max, c1_min, c1_max); return CONFLICT; } if (!output.isFixed(0)) { output.setFixed(0, true); output.setValue(0, false); } } // If true. Reverse and send to the other.. if (output.isFixed(0) && !output.getValue(0)) { FixedBits t(1, true); t.setFixed(0, true); t.setValue(0, true); destroy(c0_min, c0_max, c1_min, c1_max); return bvGreaterThanBothWays(c0, c1, t); } // We only deal with the true case in this function. if (output.isFixed(0) && output.getValue(0)) { // Starting from the high order. Turn on each bit in turn. If it being // turned on pushes it past the max of the other side // then we know it must be turned off. for (int i = (int)c0.getWidth() - 1; i >= 0; i--) { if (!c0.isFixed(i)) // bit is variable. { // turn it on in the minimum. CONSTANTBV::BitVector_Bit_On(c0_min, i); if (unsignedCompare(c0_min, c1_max) > 0) { c0.setFixed(i, true); c0.setValue(i, false); setUnsignedMinMax(c0, c0_min, c0_max); } else { CONSTANTBV::BitVector_Bit_Off(c0_min, i); break; } } } // Starting from the high order. Turn on each bit in turn. If it being // turned on pushes it past the max of the other side // then we know it must be turned off. for (int i = c0.getWidth() - 1; i >= 0; i--) { if (!c1.isFixed(i)) // bit is variable. { // turn it on in the minimum. CONSTANTBV::BitVector_Bit_Off(c1_max, i); if (unsignedCompare(c1_max, c0_min) < 0) { c1.setFixed(i, true); c1.setValue(i, true); setUnsignedMinMax(c1, c1_min, c1_max); } else { CONSTANTBV::BitVector_Bit_On(c1_max, i); break; } } } } destroy(c0_min, c0_max, c1_min, c1_max); return NOT_IMPLEMENTED; } } }