Examples with QuaternaryOp org.apache.sysml.hops.QuaternaryOp used on opensource projects

Example 1 with QuaternaryOp

use of org.apache.sysml.hops.QuaternaryOp in project incubator-systemml by apache.

the class RewriteAlgebraicSimplificationDynamic method simplifyWeightedSquaredLoss.

/**
 * Searches for weighted squared loss expressions and replaces them with a quaternary operator.
 * Currently, this search includes the following three patterns:
 * 1) sum (W * (X - U %*% t(V)) ^ 2) (post weighting)
 * 2) sum ((X - W * (U %*% t(V))) ^ 2) (pre weighting)
 * 3) sum ((X - (U %*% t(V))) ^ 2) (no weighting)
 *
 * NOTE: We include transpose into the pattern because during runtime we need to compute
 * U%*% t(V) pointwise; having V and not t(V) at hand allows for a cache-friendly implementation
 * without additional memory requirements for internal transpose.
 *
 * This rewrite is conceptually a static rewrite; however, the current MR runtime only supports
 * U/V factors of rank up to the blocksize (1000). We enforce this contraint here during the general
 * rewrite because this is an uncommon case. Also, the intention is to remove this constaint as soon
 * as we generalized the runtime or hop/lop compilation.
 *
 * @param parent parent high-level operator
 * @param hi high-level operator
 * @param pos position
 * @return high-level operator
 */
private static Hop simplifyWeightedSquaredLoss(Hop parent, Hop hi, int pos) {
    // NOTE: there might be also a general simplification without custom operator
    // via (X-UVt)^2 -> X^2 - 2X*UVt + UVt^2
    Hop hnew = null;
    if (hi instanceof AggUnaryOp && ((AggUnaryOp) hi).getDirection() == Direction.RowCol && // all patterns rooted by sum()
    ((AggUnaryOp) hi).getOp() == AggOp.SUM && // all patterns subrooted by binary op
    hi.getInput().get(0) instanceof BinaryOp && // not applied for vector-vector mult
    hi.getInput().get(0).getDim2() > 1) {
        BinaryOp bop = (BinaryOp) hi.getInput().get(0);
        boolean appliedPattern = false;
        // alternative pattern: sum (W * (U %*% t(V) - X) ^ 2)
        if (bop.getOp() == OpOp2.MULT && HopRewriteUtils.isBinary(bop.getInput().get(1), OpOp2.POW) && bop.getInput().get(0).getDataType() == DataType.MATRIX && // prevent mv
        HopRewriteUtils.isEqualSize(bop.getInput().get(0), bop.getInput().get(1)) && bop.getInput().get(1).getInput().get(1) instanceof LiteralOp && HopRewriteUtils.getDoubleValue((LiteralOp) bop.getInput().get(1).getInput().get(1)) == 2) {
            Hop W = bop.getInput().get(0);
            // (X - U %*% t(V))
            Hop tmp = bop.getInput().get(1).getInput().get(0);
            if (HopRewriteUtils.isBinary(tmp, OpOp2.MINUS) && // prevent mv
            HopRewriteUtils.isEqualSize(tmp.getInput().get(0), tmp.getInput().get(1)) && tmp.getInput().get(0).getDataType() == DataType.MATRIX) {
                // a) sum (W * (X - U %*% t(V)) ^ 2)
                int uvIndex = -1;
                if (// ba gurantees matrices
                tmp.getInput().get(1) instanceof AggBinaryOp && // BLOCKSIZE CONSTRAINT
                HopRewriteUtils.isSingleBlock(tmp.getInput().get(1).getInput().get(0), true)) {
                    uvIndex = 1;
                } else // b) sum (W * (U %*% t(V) - X) ^ 2)
                if (// ba gurantees matrices
                tmp.getInput().get(0) instanceof AggBinaryOp && // BLOCKSIZE CONSTRAINT
                HopRewriteUtils.isSingleBlock(tmp.getInput().get(0).getInput().get(0), true)) {
                    uvIndex = 0;
                }
                if (// rewrite match
                uvIndex >= 0) {
                    Hop X = tmp.getInput().get((uvIndex == 0) ? 1 : 0);
                    Hop U = tmp.getInput().get(uvIndex).getInput().get(0);
                    Hop V = tmp.getInput().get(uvIndex).getInput().get(1);
                    if (!HopRewriteUtils.isTransposeOperation(V)) {
                        V = HopRewriteUtils.createTranspose(V);
                    } else {
                        V = V.getInput().get(0);
                    }
                    // handle special case of post_nz
                    if (HopRewriteUtils.isNonZeroIndicator(W, X)) {
                        W = new LiteralOp(1);
                    }
                    // construct quaternary hop
                    hnew = new QuaternaryOp(hi.getName(), DataType.SCALAR, ValueType.DOUBLE, OpOp4.WSLOSS, X, U, V, W, true);
                    HopRewriteUtils.setOutputParametersForScalar(hnew);
                    appliedPattern = true;
                    LOG.debug("Applied simplifyWeightedSquaredLoss1" + uvIndex + " (line " + hi.getBeginLine() + ")");
                }
            }
        }
        // alternative pattern: sum ((W * (U %*% t(V)) - X) ^ 2)
        if (!appliedPattern && bop.getOp() == OpOp2.POW && bop.getInput().get(1) instanceof LiteralOp && HopRewriteUtils.getDoubleValue((LiteralOp) bop.getInput().get(1)) == 2 && HopRewriteUtils.isBinary(bop.getInput().get(0), OpOp2.MINUS) && bop.getInput().get(0).getDataType() == DataType.MATRIX && // prevent mv
        HopRewriteUtils.isEqualSize(bop.getInput().get(0).getInput().get(0), bop.getInput().get(0).getInput().get(1)) && bop.getInput().get(0).getInput().get(0).getDataType() == DataType.MATRIX) {
            Hop lleft = bop.getInput().get(0).getInput().get(0);
            Hop lright = bop.getInput().get(0).getInput().get(1);
            // a) sum ((X - W * (U %*% t(V))) ^ 2)
            int wuvIndex = -1;
            if (lright instanceof BinaryOp && lright.getInput().get(1) instanceof AggBinaryOp) {
                wuvIndex = 1;
            } else // b) sum ((W * (U %*% t(V)) - X) ^ 2)
            if (lleft instanceof BinaryOp && lleft.getInput().get(1) instanceof AggBinaryOp) {
                wuvIndex = 0;
            }
            if (// rewrite match
            wuvIndex >= 0) {
                Hop X = bop.getInput().get(0).getInput().get((wuvIndex == 0) ? 1 : 0);
                // (W * (U %*% t(V)))
                Hop tmp = bop.getInput().get(0).getInput().get(wuvIndex);
                if (((BinaryOp) tmp).getOp() == OpOp2.MULT && tmp.getInput().get(0).getDataType() == DataType.MATRIX && // prevent mv
                HopRewriteUtils.isEqualSize(tmp.getInput().get(0), tmp.getInput().get(1)) && // BLOCKSIZE CONSTRAINT
                HopRewriteUtils.isSingleBlock(tmp.getInput().get(1).getInput().get(0), true)) {
                    Hop W = tmp.getInput().get(0);
                    Hop U = tmp.getInput().get(1).getInput().get(0);
                    Hop V = tmp.getInput().get(1).getInput().get(1);
                    if (!HopRewriteUtils.isTransposeOperation(V)) {
                        V = HopRewriteUtils.createTranspose(V);
                    } else {
                        V = V.getInput().get(0);
                    }
                    hnew = new QuaternaryOp(hi.getName(), DataType.SCALAR, ValueType.DOUBLE, OpOp4.WSLOSS, X, U, V, W, false);
                    HopRewriteUtils.setOutputParametersForScalar(hnew);
                    appliedPattern = true;
                    LOG.debug("Applied simplifyWeightedSquaredLoss2" + wuvIndex + " (line " + hi.getBeginLine() + ")");
                }
            }
        }
        // alternative pattern: sum (((U %*% t(V)) - X) ^ 2)
        if (!appliedPattern && bop.getOp() == OpOp2.POW && bop.getInput().get(1) instanceof LiteralOp && HopRewriteUtils.getDoubleValue((LiteralOp) bop.getInput().get(1)) == 2 && HopRewriteUtils.isBinary(bop.getInput().get(0), OpOp2.MINUS) && bop.getInput().get(0).getDataType() == DataType.MATRIX && // prevent mv
        HopRewriteUtils.isEqualSize(bop.getInput().get(0).getInput().get(0), bop.getInput().get(0).getInput().get(1)) && bop.getInput().get(0).getInput().get(0).getDataType() == DataType.MATRIX) {
            Hop lleft = bop.getInput().get(0).getInput().get(0);
            Hop lright = bop.getInput().get(0).getInput().get(1);
            // a) sum ((X - (U %*% t(V))) ^ 2)
            int uvIndex = -1;
            if (// ba gurantees matrices
            lright instanceof AggBinaryOp && // BLOCKSIZE CONSTRAINT
            HopRewriteUtils.isSingleBlock(lright.getInput().get(0), true)) {
                uvIndex = 1;
            } else // b) sum (((U %*% t(V)) - X) ^ 2)
            if (// ba gurantees matrices
            lleft instanceof AggBinaryOp && // BLOCKSIZE CONSTRAINT
            HopRewriteUtils.isSingleBlock(lleft.getInput().get(0), true)) {
                uvIndex = 0;
            }
            if (// rewrite match
            uvIndex >= 0) {
                Hop X = bop.getInput().get(0).getInput().get((uvIndex == 0) ? 1 : 0);
                // (U %*% t(V))
                Hop tmp = bop.getInput().get(0).getInput().get(uvIndex);
                // no weighting
                Hop W = new LiteralOp(1);
                Hop U = tmp.getInput().get(0);
                Hop V = tmp.getInput().get(1);
                if (!HopRewriteUtils.isTransposeOperation(V)) {
                    V = HopRewriteUtils.createTranspose(V);
                } else {
                    V = V.getInput().get(0);
                }
                hnew = new QuaternaryOp(hi.getName(), DataType.SCALAR, ValueType.DOUBLE, OpOp4.WSLOSS, X, U, V, W, false);
                HopRewriteUtils.setOutputParametersForScalar(hnew);
                appliedPattern = true;
                LOG.debug("Applied simplifyWeightedSquaredLoss3" + uvIndex + " (line " + hi.getBeginLine() + ")");
            }
        }
    }
    // relink new hop into original position
    if (hnew != null) {
        HopRewriteUtils.replaceChildReference(parent, hi, hnew, pos);
        hi = hnew;
    }
    return hi;
}

Example 2 with QuaternaryOp

use of org.apache.sysml.hops.QuaternaryOp in project incubator-systemml by apache.

the class RewriteAlgebraicSimplificationDynamic method simplifyWeightedSigmoidMMChains.

private static Hop simplifyWeightedSigmoidMMChains(Hop parent, Hop hi, int pos) {
    Hop hnew = null;
    if (// all patterns subrooted by W *
    HopRewriteUtils.isBinary(hi, OpOp2.MULT) && // not applied for vector-vector mult
    hi.getDim2() > 1 && // prevent mv
    HopRewriteUtils.isEqualSize(hi.getInput().get(0), hi.getInput().get(1)) && hi.getInput().get(0).getDataType() == DataType.MATRIX && // sigmoid/log
    hi.getInput().get(1) instanceof UnaryOp) {
        UnaryOp uop = (UnaryOp) hi.getInput().get(1);
        boolean appliedPattern = false;
        // Pattern 1) W * sigmoid(Y%*%t(X)) (basic)
        if (uop.getOp() == OpOp1.SIGMOID && uop.getInput().get(0) instanceof AggBinaryOp && HopRewriteUtils.isSingleBlock(uop.getInput().get(0).getInput().get(0), true)) {
            Hop W = hi.getInput().get(0);
            Hop Y = uop.getInput().get(0).getInput().get(0);
            Hop tX = uop.getInput().get(0).getInput().get(1);
            if (!HopRewriteUtils.isTransposeOperation(tX)) {
                tX = HopRewriteUtils.createTranspose(tX);
            } else
                tX = tX.getInput().get(0);
            hnew = new QuaternaryOp(hi.getName(), DataType.MATRIX, ValueType.DOUBLE, OpOp4.WSIGMOID, W, Y, tX, false, false);
            hnew.setOutputBlocksizes(W.getRowsInBlock(), W.getColsInBlock());
            hnew.refreshSizeInformation();
            appliedPattern = true;
            LOG.debug("Applied simplifyWeightedSigmoid1 (line " + hi.getBeginLine() + ")");
        }
        // Pattern 2) W * sigmoid(-(Y%*%t(X))) (minus)
        if (!appliedPattern && uop.getOp() == OpOp1.SIGMOID && HopRewriteUtils.isBinary(uop.getInput().get(0), OpOp2.MINUS) && uop.getInput().get(0).getInput().get(0) instanceof LiteralOp && HopRewriteUtils.getDoubleValueSafe((LiteralOp) uop.getInput().get(0).getInput().get(0)) == 0 && uop.getInput().get(0).getInput().get(1) instanceof AggBinaryOp && HopRewriteUtils.isSingleBlock(uop.getInput().get(0).getInput().get(1).getInput().get(0), true)) {
            Hop W = hi.getInput().get(0);
            Hop Y = uop.getInput().get(0).getInput().get(1).getInput().get(0);
            Hop tX = uop.getInput().get(0).getInput().get(1).getInput().get(1);
            if (!HopRewriteUtils.isTransposeOperation(tX)) {
                tX = HopRewriteUtils.createTranspose(tX);
            } else
                tX = tX.getInput().get(0);
            hnew = new QuaternaryOp(hi.getName(), DataType.MATRIX, ValueType.DOUBLE, OpOp4.WSIGMOID, W, Y, tX, false, true);
            hnew.setOutputBlocksizes(W.getRowsInBlock(), W.getColsInBlock());
            hnew.refreshSizeInformation();
            appliedPattern = true;
            LOG.debug("Applied simplifyWeightedSigmoid2 (line " + hi.getBeginLine() + ")");
        }
        // Pattern 3) W * log(sigmoid(Y%*%t(X))) (log)
        if (!appliedPattern && uop.getOp() == OpOp1.LOG && HopRewriteUtils.isUnary(uop.getInput().get(0), OpOp1.SIGMOID) && uop.getInput().get(0).getInput().get(0) instanceof AggBinaryOp && HopRewriteUtils.isSingleBlock(uop.getInput().get(0).getInput().get(0).getInput().get(0), true)) {
            Hop W = hi.getInput().get(0);
            Hop Y = uop.getInput().get(0).getInput().get(0).getInput().get(0);
            Hop tX = uop.getInput().get(0).getInput().get(0).getInput().get(1);
            if (!HopRewriteUtils.isTransposeOperation(tX)) {
                tX = HopRewriteUtils.createTranspose(tX);
            } else
                tX = tX.getInput().get(0);
            hnew = new QuaternaryOp(hi.getName(), DataType.MATRIX, ValueType.DOUBLE, OpOp4.WSIGMOID, W, Y, tX, true, false);
            hnew.setOutputBlocksizes(W.getRowsInBlock(), W.getColsInBlock());
            hnew.refreshSizeInformation();
            appliedPattern = true;
            LOG.debug("Applied simplifyWeightedSigmoid3 (line " + hi.getBeginLine() + ")");
        }
        // Pattern 4) W * log(sigmoid(-(Y%*%t(X)))) (log_minus)
        if (!appliedPattern && uop.getOp() == OpOp1.LOG && HopRewriteUtils.isUnary(uop.getInput().get(0), OpOp1.SIGMOID) && HopRewriteUtils.isBinary(uop.getInput().get(0).getInput().get(0), OpOp2.MINUS)) {
            BinaryOp bop = (BinaryOp) uop.getInput().get(0).getInput().get(0);
            if (bop.getInput().get(0) instanceof LiteralOp && HopRewriteUtils.getDoubleValueSafe((LiteralOp) bop.getInput().get(0)) == 0 && bop.getInput().get(1) instanceof AggBinaryOp && HopRewriteUtils.isSingleBlock(bop.getInput().get(1).getInput().get(0), true)) {
                Hop W = hi.getInput().get(0);
                Hop Y = bop.getInput().get(1).getInput().get(0);
                Hop tX = bop.getInput().get(1).getInput().get(1);
                if (!HopRewriteUtils.isTransposeOperation(tX)) {
                    tX = HopRewriteUtils.createTranspose(tX);
                } else
                    tX = tX.getInput().get(0);
                hnew = new QuaternaryOp(hi.getName(), DataType.MATRIX, ValueType.DOUBLE, OpOp4.WSIGMOID, W, Y, tX, true, true);
                hnew.setOutputBlocksizes(W.getRowsInBlock(), W.getColsInBlock());
                hnew.refreshSizeInformation();
                appliedPattern = true;
                LOG.debug("Applied simplifyWeightedSigmoid4 (line " + hi.getBeginLine() + ")");
            }
        }
    }
    // relink new hop into original position
    if (hnew != null) {
        HopRewriteUtils.replaceChildReference(parent, hi, hnew, pos);
        hi = hnew;
    }
    return hi;
}

Example 3 with QuaternaryOp

use of org.apache.sysml.hops.QuaternaryOp in project systemml by apache.

the class RewriteAlgebraicSimplificationDynamic method simplifyWeightedDivMM.

private static Hop simplifyWeightedDivMM(Hop parent, Hop hi, int pos) {
    Hop hnew = null;
    boolean appliedPattern = false;
    // note: we do not rewrite t(X)%*%(w*(X%*%v)) where w and v are vectors (see mmchain ops)
    if (HopRewriteUtils.isMatrixMultiply(hi) && (hi.getInput().get(0) instanceof BinaryOp && HopRewriteUtils.isValidOp(((BinaryOp) hi.getInput().get(0)).getOp(), LOOKUP_VALID_WDIVMM_BINARY) || hi.getInput().get(1) instanceof BinaryOp && // not applied for vector-vector mult
    hi.getDim2() > 1 && HopRewriteUtils.isValidOp(((BinaryOp) hi.getInput().get(1)).getOp(), LOOKUP_VALID_WDIVMM_BINARY))) {
        Hop left = hi.getInput().get(0);
        Hop right = hi.getInput().get(1);
        // alternative pattern: t(U) %*% (W*(U%*%t(V)))
        if (right instanceof BinaryOp && HopRewriteUtils.isValidOp(((BinaryOp) right).getOp(), LOOKUP_VALID_WDIVMM_BINARY) && // prevent mv
        HopRewriteUtils.isEqualSize(right.getInput().get(0), right.getInput().get(1)) && HopRewriteUtils.isOuterProductLikeMM(right.getInput().get(1)) && // BLOCKSIZE CONSTRAINT
        HopRewriteUtils.isSingleBlock(right.getInput().get(1).getInput().get(0), true)) {
            Hop W = right.getInput().get(0);
            Hop U = right.getInput().get(1).getInput().get(0);
            Hop V = right.getInput().get(1).getInput().get(1);
            if (HopRewriteUtils.isTransposeOfItself(left, U)) {
                if (!HopRewriteUtils.isTransposeOperation(V))
                    V = HopRewriteUtils.createTranspose(V);
                else
                    V = V.getInput().get(0);
                boolean mult = ((BinaryOp) right).getOp() == OpOp2.MULT;
                hnew = new QuaternaryOp(hi.getName(), DataType.MATRIX, ValueType.DOUBLE, OpOp4.WDIVMM, W, U, V, new LiteralOp(-1), 1, mult, false);
                hnew.setOutputBlocksizes(W.getRowsInBlock(), W.getColsInBlock());
                hnew.refreshSizeInformation();
                // add output transpose for efficient target indexing (redundant t() removed by other rewrites)
                hnew = HopRewriteUtils.createTranspose(hnew);
                appliedPattern = true;
                LOG.debug("Applied simplifyWeightedDivMM1 (line " + hi.getBeginLine() + ")");
            }
        }
        // Pattern 1e) t(U) %*% (W/(U%*%t(V) + x))
        if (!appliedPattern && // DIV
        HopRewriteUtils.isBinary(right, LOOKUP_VALID_WDIVMM_BINARY[1]) && // prevent mv
        HopRewriteUtils.isEqualSize(right.getInput().get(0), right.getInput().get(1)) && HopRewriteUtils.isBinary(right.getInput().get(1), Hop.OpOp2.PLUS) && right.getInput().get(1).getInput().get(1).getDataType() == DataType.SCALAR && HopRewriteUtils.isOuterProductLikeMM(right.getInput().get(1).getInput().get(0)) && // BLOCKSIZE CONSTRAINT
        HopRewriteUtils.isSingleBlock(right.getInput().get(1).getInput().get(0).getInput().get(0), true)) {
            Hop W = right.getInput().get(0);
            Hop U = right.getInput().get(1).getInput().get(0).getInput().get(0);
            Hop V = right.getInput().get(1).getInput().get(0).getInput().get(1);
            Hop X = right.getInput().get(1).getInput().get(1);
            if (HopRewriteUtils.isTransposeOfItself(left, U)) {
                if (!HopRewriteUtils.isTransposeOperation(V))
                    V = HopRewriteUtils.createTranspose(V);
                else
                    V = V.getInput().get(0);
                hnew = new QuaternaryOp(hi.getName(), DataType.MATRIX, ValueType.DOUBLE, OpOp4.WDIVMM, W, U, V, X, 3, false, // 3=>DIV_LEFT_EPS
                false);
                hnew.setOutputBlocksizes(W.getRowsInBlock(), W.getColsInBlock());
                hnew.refreshSizeInformation();
                // add output transpose for efficient target indexing (redundant t() removed by other rewrites)
                hnew = HopRewriteUtils.createTranspose(hnew);
                appliedPattern = true;
                LOG.debug("Applied simplifyWeightedDivMM1e (line " + hi.getBeginLine() + ")");
            }
        }
        // alternative pattern: (W*(U%*%t(V))) %*% V
        if (!appliedPattern && left instanceof BinaryOp && HopRewriteUtils.isValidOp(((BinaryOp) left).getOp(), LOOKUP_VALID_WDIVMM_BINARY) && // prevent mv
        HopRewriteUtils.isEqualSize(left.getInput().get(0), left.getInput().get(1)) && HopRewriteUtils.isOuterProductLikeMM(left.getInput().get(1)) && // BLOCKSIZE CONSTRAINT
        HopRewriteUtils.isSingleBlock(left.getInput().get(1).getInput().get(0), true)) {
            Hop W = left.getInput().get(0);
            Hop U = left.getInput().get(1).getInput().get(0);
            Hop V = left.getInput().get(1).getInput().get(1);
            if (HopRewriteUtils.isTransposeOfItself(right, V)) {
                if (!HopRewriteUtils.isTransposeOperation(V))
                    V = right;
                else
                    V = V.getInput().get(0);
                boolean mult = ((BinaryOp) left).getOp() == OpOp2.MULT;
                hnew = new QuaternaryOp(hi.getName(), DataType.MATRIX, ValueType.DOUBLE, OpOp4.WDIVMM, W, U, V, new LiteralOp(-1), 2, mult, false);
                hnew.setOutputBlocksizes(W.getRowsInBlock(), W.getColsInBlock());
                hnew.refreshSizeInformation();
                appliedPattern = true;
                LOG.debug("Applied simplifyWeightedDivMM2 (line " + hi.getBeginLine() + ")");
            }
        }
        // Pattern 2e) (W/(U%*%t(V) + x)) %*% V
        if (!appliedPattern && // DIV
        HopRewriteUtils.isBinary(left, LOOKUP_VALID_WDIVMM_BINARY[1]) && // prevent mv
        HopRewriteUtils.isEqualSize(left.getInput().get(0), left.getInput().get(1)) && HopRewriteUtils.isBinary(left.getInput().get(1), Hop.OpOp2.PLUS) && left.getInput().get(1).getInput().get(1).getDataType() == DataType.SCALAR && HopRewriteUtils.isOuterProductLikeMM(left.getInput().get(1).getInput().get(0)) && // BLOCKSIZE CONSTRAINT
        HopRewriteUtils.isSingleBlock(left.getInput().get(1).getInput().get(0).getInput().get(0), true)) {
            Hop W = left.getInput().get(0);
            Hop U = left.getInput().get(1).getInput().get(0).getInput().get(0);
            Hop V = left.getInput().get(1).getInput().get(0).getInput().get(1);
            Hop X = left.getInput().get(1).getInput().get(1);
            if (HopRewriteUtils.isTransposeOfItself(right, V)) {
                if (!HopRewriteUtils.isTransposeOperation(V))
                    V = right;
                else
                    V = V.getInput().get(0);
                hnew = new QuaternaryOp(hi.getName(), DataType.MATRIX, ValueType.DOUBLE, OpOp4.WDIVMM, W, U, V, X, 4, false, // 4=>DIV_RIGHT_EPS
                false);
                hnew.setOutputBlocksizes(W.getRowsInBlock(), W.getColsInBlock());
                hnew.refreshSizeInformation();
                appliedPattern = true;
                LOG.debug("Applied simplifyWeightedDivMM2e (line " + hi.getBeginLine() + ")");
            }
        }
        // Pattern 3) t(U) %*% ((X!=0)*(U%*%t(V)-X))
        if (!appliedPattern && // MULT
        HopRewriteUtils.isBinary(right, LOOKUP_VALID_WDIVMM_BINARY[0]) && HopRewriteUtils.isBinary(right.getInput().get(1), OpOp2.MINUS) && HopRewriteUtils.isOuterProductLikeMM(right.getInput().get(1).getInput().get(0)) && right.getInput().get(1).getInput().get(1).getDataType() == DataType.MATRIX && // BLOCKSIZE CONSTRAINT
        HopRewriteUtils.isSingleBlock(right.getInput().get(1).getInput().get(0).getInput().get(0), true)) {
            Hop W = right.getInput().get(0);
            Hop U = right.getInput().get(1).getInput().get(0).getInput().get(0);
            Hop V = right.getInput().get(1).getInput().get(0).getInput().get(1);
            Hop X = right.getInput().get(1).getInput().get(1);
            if (// W-X constraint
            HopRewriteUtils.isNonZeroIndicator(W, X) && // t(U)-U constraint
            HopRewriteUtils.isTransposeOfItself(left, U)) {
                if (!HopRewriteUtils.isTransposeOperation(V))
                    V = HopRewriteUtils.createTranspose(V);
                else
                    V = V.getInput().get(0);
                hnew = new QuaternaryOp(hi.getName(), DataType.MATRIX, ValueType.DOUBLE, OpOp4.WDIVMM, X, U, V, new LiteralOp(-1), 1, true, true);
                hnew.setOutputBlocksizes(W.getRowsInBlock(), W.getColsInBlock());
                hnew.refreshSizeInformation();
                // add output transpose for efficient target indexing (redundant t() removed by other rewrites)
                hnew = HopRewriteUtils.createTranspose(hnew);
                appliedPattern = true;
                LOG.debug("Applied simplifyWeightedDivMM3 (line " + hi.getBeginLine() + ")");
            }
        }
        // Pattern 4) ((X!=0)*(U%*%t(V)-X)) %*% V
        if (!appliedPattern && // MULT
        HopRewriteUtils.isBinary(left, LOOKUP_VALID_WDIVMM_BINARY[0]) && HopRewriteUtils.isBinary(left.getInput().get(1), OpOp2.MINUS) && HopRewriteUtils.isOuterProductLikeMM(left.getInput().get(1).getInput().get(0)) && left.getInput().get(1).getInput().get(1).getDataType() == DataType.MATRIX && // BLOCKSIZE CONSTRAINT
        HopRewriteUtils.isSingleBlock(left.getInput().get(1).getInput().get(0).getInput().get(0), true)) {
            Hop W = left.getInput().get(0);
            Hop U = left.getInput().get(1).getInput().get(0).getInput().get(0);
            Hop V = left.getInput().get(1).getInput().get(0).getInput().get(1);
            Hop X = left.getInput().get(1).getInput().get(1);
            if (// W-X constraint
            HopRewriteUtils.isNonZeroIndicator(W, X) && // V-t(V) constraint
            HopRewriteUtils.isTransposeOfItself(right, V)) {
                if (!HopRewriteUtils.isTransposeOperation(V))
                    V = right;
                else
                    V = V.getInput().get(0);
                hnew = new QuaternaryOp(hi.getName(), DataType.MATRIX, ValueType.DOUBLE, OpOp4.WDIVMM, X, U, V, new LiteralOp(-1), 2, true, true);
                hnew.setOutputBlocksizes(W.getRowsInBlock(), W.getColsInBlock());
                hnew.refreshSizeInformation();
                appliedPattern = true;
                LOG.debug("Applied simplifyWeightedDivMM4 (line " + hi.getBeginLine() + ")");
            }
        }
        // Pattern 5) t(U) %*% (W*(U%*%t(V)-X))
        if (!appliedPattern && // MULT
        HopRewriteUtils.isBinary(right, LOOKUP_VALID_WDIVMM_BINARY[0]) && HopRewriteUtils.isBinary(right.getInput().get(1), OpOp2.MINUS) && HopRewriteUtils.isOuterProductLikeMM(right.getInput().get(1).getInput().get(0)) && right.getInput().get(1).getInput().get(1).getDataType() == DataType.MATRIX && // BLOCKSIZE CONSTRAINT
        HopRewriteUtils.isSingleBlock(right.getInput().get(1).getInput().get(0).getInput().get(0), true)) {
            Hop W = right.getInput().get(0);
            Hop U = right.getInput().get(1).getInput().get(0).getInput().get(0);
            Hop V = right.getInput().get(1).getInput().get(0).getInput().get(1);
            Hop X = right.getInput().get(1).getInput().get(1);
            if (// t(U)-U constraint
            HopRewriteUtils.isTransposeOfItself(left, U)) {
                if (!HopRewriteUtils.isTransposeOperation(V))
                    V = HopRewriteUtils.createTranspose(V);
                else
                    V = V.getInput().get(0);
                // note: x and w exchanged compared to patterns 1-4, 7
                hnew = new QuaternaryOp(hi.getName(), DataType.MATRIX, ValueType.DOUBLE, OpOp4.WDIVMM, W, U, V, X, 1, true, true);
                hnew.setOutputBlocksizes(W.getRowsInBlock(), W.getColsInBlock());
                hnew.refreshSizeInformation();
                // add output transpose for efficient target indexing (redundant t() removed by other rewrites)
                hnew = HopRewriteUtils.createTranspose(hnew);
                appliedPattern = true;
                LOG.debug("Applied simplifyWeightedDivMM5 (line " + hi.getBeginLine() + ")");
            }
        }
        // Pattern 6) (W*(U%*%t(V)-X)) %*% V
        if (!appliedPattern && // MULT
        HopRewriteUtils.isBinary(left, LOOKUP_VALID_WDIVMM_BINARY[0]) && HopRewriteUtils.isBinary(left.getInput().get(1), OpOp2.MINUS) && HopRewriteUtils.isOuterProductLikeMM(left.getInput().get(1).getInput().get(0)) && left.getInput().get(1).getInput().get(1).getDataType() == DataType.MATRIX && // BLOCKSIZE CONSTRAINT
        HopRewriteUtils.isSingleBlock(left.getInput().get(1).getInput().get(0).getInput().get(0), true)) {
            Hop W = left.getInput().get(0);
            Hop U = left.getInput().get(1).getInput().get(0).getInput().get(0);
            Hop V = left.getInput().get(1).getInput().get(0).getInput().get(1);
            Hop X = left.getInput().get(1).getInput().get(1);
            if (// V-t(V) constraint
            HopRewriteUtils.isTransposeOfItself(right, V)) {
                if (!HopRewriteUtils.isTransposeOperation(V))
                    V = right;
                else
                    V = V.getInput().get(0);
                // note: x and w exchanged compared to patterns 1-4, 7
                hnew = new QuaternaryOp(hi.getName(), DataType.MATRIX, ValueType.DOUBLE, OpOp4.WDIVMM, W, U, V, X, 2, true, true);
                hnew.setOutputBlocksizes(W.getRowsInBlock(), W.getColsInBlock());
                hnew.refreshSizeInformation();
                appliedPattern = true;
                LOG.debug("Applied simplifyWeightedDivMM6 (line " + hi.getBeginLine() + ")");
            }
        }
    }
    // Pattern 7) (W*(U%*%t(V)))
    if (!appliedPattern && // MULT
    HopRewriteUtils.isBinary(hi, LOOKUP_VALID_WDIVMM_BINARY[0]) && // prevent mv
    HopRewriteUtils.isEqualSize(hi.getInput().get(0), hi.getInput().get(1)) && // not applied for vector-vector mult
    hi.getDim2() > 1 && hi.getInput().get(0).getDataType() == DataType.MATRIX && hi.getInput().get(0).getDim2() > hi.getInput().get(0).getColsInBlock() && HopRewriteUtils.isOuterProductLikeMM(hi.getInput().get(1)) && // no mmchain
    (((AggBinaryOp) hi.getInput().get(1)).checkMapMultChain() == ChainType.NONE || hi.getInput().get(1).getInput().get(1).getDim2() > 1) && // BLOCKSIZE CONSTRAINT
    HopRewriteUtils.isSingleBlock(hi.getInput().get(1).getInput().get(0), true)) {
        Hop W = hi.getInput().get(0);
        Hop U = hi.getInput().get(1).getInput().get(0);
        Hop V = hi.getInput().get(1).getInput().get(1);
        // W is sparse and U/V unknown or dense; or if U/V are dense
        if ((HopRewriteUtils.isSparse(W) && !HopRewriteUtils.isSparse(U) && !HopRewriteUtils.isSparse(V)) || (HopRewriteUtils.isDense(U) && HopRewriteUtils.isDense(V))) {
            V = !HopRewriteUtils.isTransposeOperation(V) ? HopRewriteUtils.createTranspose(V) : V.getInput().get(0);
            hnew = new QuaternaryOp(hi.getName(), DataType.MATRIX, ValueType.DOUBLE, OpOp4.WDIVMM, W, U, V, new LiteralOp(-1), 0, true, false);
            hnew.setOutputBlocksizes(W.getRowsInBlock(), W.getColsInBlock());
            hnew.refreshSizeInformation();
            appliedPattern = true;
            LOG.debug("Applied simplifyWeightedDivMM7 (line " + hi.getBeginLine() + ")");
        }
    }
    // relink new hop into original position
    if (hnew != null) {
        HopRewriteUtils.replaceChildReference(parent, hi, hnew, pos);
        hi = hnew;
    }
    return hi;
}

Example 4 with QuaternaryOp

use of org.apache.sysml.hops.QuaternaryOp in project systemml by apache.

the class RewriteAlgebraicSimplificationDynamic method simplifyWeightedSquaredLoss.

/**
 * Searches for weighted squared loss expressions and replaces them with a quaternary operator.
 * Currently, this search includes the following three patterns:
 * 1) sum (W * (X - U %*% t(V)) ^ 2) (post weighting)
 * 2) sum ((X - W * (U %*% t(V))) ^ 2) (pre weighting)
 * 3) sum ((X - (U %*% t(V))) ^ 2) (no weighting)
 *
 * NOTE: We include transpose into the pattern because during runtime we need to compute
 * U%*% t(V) pointwise; having V and not t(V) at hand allows for a cache-friendly implementation
 * without additional memory requirements for internal transpose.
 *
 * This rewrite is conceptually a static rewrite; however, the current MR runtime only supports
 * U/V factors of rank up to the blocksize (1000). We enforce this contraint here during the general
 * rewrite because this is an uncommon case. Also, the intention is to remove this constaint as soon
 * as we generalized the runtime or hop/lop compilation.
 *
 * @param parent parent high-level operator
 * @param hi high-level operator
 * @param pos position
 * @return high-level operator
 */
private static Hop simplifyWeightedSquaredLoss(Hop parent, Hop hi, int pos) {
    // NOTE: there might be also a general simplification without custom operator
    // via (X-UVt)^2 -> X^2 - 2X*UVt + UVt^2
    Hop hnew = null;
    if (hi instanceof AggUnaryOp && ((AggUnaryOp) hi).getDirection() == Direction.RowCol && // all patterns rooted by sum()
    ((AggUnaryOp) hi).getOp() == AggOp.SUM && // all patterns subrooted by binary op
    hi.getInput().get(0) instanceof BinaryOp && // not applied for vector-vector mult
    hi.getInput().get(0).getDim2() > 1) {
        BinaryOp bop = (BinaryOp) hi.getInput().get(0);
        boolean appliedPattern = false;
        // alternative pattern: sum (W * (U %*% t(V) - X) ^ 2)
        if (bop.getOp() == OpOp2.MULT && HopRewriteUtils.isBinary(bop.getInput().get(1), OpOp2.POW) && bop.getInput().get(0).getDataType() == DataType.MATRIX && // prevent mv
        HopRewriteUtils.isEqualSize(bop.getInput().get(0), bop.getInput().get(1)) && bop.getInput().get(1).getInput().get(1) instanceof LiteralOp && HopRewriteUtils.getDoubleValue((LiteralOp) bop.getInput().get(1).getInput().get(1)) == 2) {
            Hop W = bop.getInput().get(0);
            // (X - U %*% t(V))
            Hop tmp = bop.getInput().get(1).getInput().get(0);
            if (HopRewriteUtils.isBinary(tmp, OpOp2.MINUS) && // prevent mv
            HopRewriteUtils.isEqualSize(tmp.getInput().get(0), tmp.getInput().get(1)) && tmp.getInput().get(0).getDataType() == DataType.MATRIX) {
                // a) sum (W * (X - U %*% t(V)) ^ 2)
                int uvIndex = -1;
                if (// ba gurantees matrices
                tmp.getInput().get(1) instanceof AggBinaryOp && // BLOCKSIZE CONSTRAINT
                HopRewriteUtils.isSingleBlock(tmp.getInput().get(1).getInput().get(0), true)) {
                    uvIndex = 1;
                } else // b) sum (W * (U %*% t(V) - X) ^ 2)
                if (// ba gurantees matrices
                tmp.getInput().get(0) instanceof AggBinaryOp && // BLOCKSIZE CONSTRAINT
                HopRewriteUtils.isSingleBlock(tmp.getInput().get(0).getInput().get(0), true)) {
                    uvIndex = 0;
                }
                if (// rewrite match
                uvIndex >= 0) {
                    Hop X = tmp.getInput().get((uvIndex == 0) ? 1 : 0);
                    Hop U = tmp.getInput().get(uvIndex).getInput().get(0);
                    Hop V = tmp.getInput().get(uvIndex).getInput().get(1);
                    if (!HopRewriteUtils.isTransposeOperation(V)) {
                        V = HopRewriteUtils.createTranspose(V);
                    } else {
                        V = V.getInput().get(0);
                    }
                    // handle special case of post_nz
                    if (HopRewriteUtils.isNonZeroIndicator(W, X)) {
                        W = new LiteralOp(1);
                    }
                    // construct quaternary hop
                    hnew = new QuaternaryOp(hi.getName(), DataType.SCALAR, ValueType.DOUBLE, OpOp4.WSLOSS, X, U, V, W, true);
                    HopRewriteUtils.setOutputParametersForScalar(hnew);
                    appliedPattern = true;
                    LOG.debug("Applied simplifyWeightedSquaredLoss1" + uvIndex + " (line " + hi.getBeginLine() + ")");
                }
            }
        }
        // alternative pattern: sum ((W * (U %*% t(V)) - X) ^ 2)
        if (!appliedPattern && bop.getOp() == OpOp2.POW && bop.getInput().get(1) instanceof LiteralOp && HopRewriteUtils.getDoubleValue((LiteralOp) bop.getInput().get(1)) == 2 && HopRewriteUtils.isBinary(bop.getInput().get(0), OpOp2.MINUS) && bop.getInput().get(0).getDataType() == DataType.MATRIX && // prevent mv
        HopRewriteUtils.isEqualSize(bop.getInput().get(0).getInput().get(0), bop.getInput().get(0).getInput().get(1)) && bop.getInput().get(0).getInput().get(0).getDataType() == DataType.MATRIX) {
            Hop lleft = bop.getInput().get(0).getInput().get(0);
            Hop lright = bop.getInput().get(0).getInput().get(1);
            // a) sum ((X - W * (U %*% t(V))) ^ 2)
            int wuvIndex = -1;
            if (lright instanceof BinaryOp && lright.getInput().get(1) instanceof AggBinaryOp) {
                wuvIndex = 1;
            } else // b) sum ((W * (U %*% t(V)) - X) ^ 2)
            if (lleft instanceof BinaryOp && lleft.getInput().get(1) instanceof AggBinaryOp) {
                wuvIndex = 0;
            }
            if (// rewrite match
            wuvIndex >= 0) {
                Hop X = bop.getInput().get(0).getInput().get((wuvIndex == 0) ? 1 : 0);
                // (W * (U %*% t(V)))
                Hop tmp = bop.getInput().get(0).getInput().get(wuvIndex);
                if (((BinaryOp) tmp).getOp() == OpOp2.MULT && tmp.getInput().get(0).getDataType() == DataType.MATRIX && // prevent mv
                HopRewriteUtils.isEqualSize(tmp.getInput().get(0), tmp.getInput().get(1)) && // BLOCKSIZE CONSTRAINT
                HopRewriteUtils.isSingleBlock(tmp.getInput().get(1).getInput().get(0), true)) {
                    Hop W = tmp.getInput().get(0);
                    Hop U = tmp.getInput().get(1).getInput().get(0);
                    Hop V = tmp.getInput().get(1).getInput().get(1);
                    if (!HopRewriteUtils.isTransposeOperation(V)) {
                        V = HopRewriteUtils.createTranspose(V);
                    } else {
                        V = V.getInput().get(0);
                    }
                    hnew = new QuaternaryOp(hi.getName(), DataType.SCALAR, ValueType.DOUBLE, OpOp4.WSLOSS, X, U, V, W, false);
                    HopRewriteUtils.setOutputParametersForScalar(hnew);
                    appliedPattern = true;
                    LOG.debug("Applied simplifyWeightedSquaredLoss2" + wuvIndex + " (line " + hi.getBeginLine() + ")");
                }
            }
        }
        // alternative pattern: sum (((U %*% t(V)) - X) ^ 2)
        if (!appliedPattern && bop.getOp() == OpOp2.POW && bop.getInput().get(1) instanceof LiteralOp && HopRewriteUtils.getDoubleValue((LiteralOp) bop.getInput().get(1)) == 2 && HopRewriteUtils.isBinary(bop.getInput().get(0), OpOp2.MINUS) && bop.getInput().get(0).getDataType() == DataType.MATRIX && // prevent mv
        HopRewriteUtils.isEqualSize(bop.getInput().get(0).getInput().get(0), bop.getInput().get(0).getInput().get(1)) && bop.getInput().get(0).getInput().get(0).getDataType() == DataType.MATRIX) {
            Hop lleft = bop.getInput().get(0).getInput().get(0);
            Hop lright = bop.getInput().get(0).getInput().get(1);
            // a) sum ((X - (U %*% t(V))) ^ 2)
            int uvIndex = -1;
            if (// ba gurantees matrices
            lright instanceof AggBinaryOp && // BLOCKSIZE CONSTRAINT
            HopRewriteUtils.isSingleBlock(lright.getInput().get(0), true)) {
                uvIndex = 1;
            } else // b) sum (((U %*% t(V)) - X) ^ 2)
            if (// ba gurantees matrices
            lleft instanceof AggBinaryOp && // BLOCKSIZE CONSTRAINT
            HopRewriteUtils.isSingleBlock(lleft.getInput().get(0), true)) {
                uvIndex = 0;
            }
            if (// rewrite match
            uvIndex >= 0) {
                Hop X = bop.getInput().get(0).getInput().get((uvIndex == 0) ? 1 : 0);
                // (U %*% t(V))
                Hop tmp = bop.getInput().get(0).getInput().get(uvIndex);
                // no weighting
                Hop W = new LiteralOp(1);
                Hop U = tmp.getInput().get(0);
                Hop V = tmp.getInput().get(1);
                if (!HopRewriteUtils.isTransposeOperation(V)) {
                    V = HopRewriteUtils.createTranspose(V);
                } else {
                    V = V.getInput().get(0);
                }
                hnew = new QuaternaryOp(hi.getName(), DataType.SCALAR, ValueType.DOUBLE, OpOp4.WSLOSS, X, U, V, W, false);
                HopRewriteUtils.setOutputParametersForScalar(hnew);
                appliedPattern = true;
                LOG.debug("Applied simplifyWeightedSquaredLoss3" + uvIndex + " (line " + hi.getBeginLine() + ")");
            }
        }
    }
    // relink new hop into original position
    if (hnew != null) {
        HopRewriteUtils.replaceChildReference(parent, hi, hnew, pos);
        hi = hnew;
    }
    return hi;
}

Example 5 with QuaternaryOp

use of org.apache.sysml.hops.QuaternaryOp in project systemml by apache.

the class RewriteAlgebraicSimplificationDynamic method simplifyWeightedCrossEntropy.

private static Hop simplifyWeightedCrossEntropy(Hop parent, Hop hi, int pos) {
    Hop hnew = null;
    boolean appliedPattern = false;
    if (hi instanceof AggUnaryOp && ((AggUnaryOp) hi).getDirection() == Direction.RowCol && // pattern rooted by sum()
    ((AggUnaryOp) hi).getOp() == AggOp.SUM && // pattern subrooted by binary op
    hi.getInput().get(0) instanceof BinaryOp && // not applied for vector-vector mult
    hi.getInput().get(0).getDim2() > 1) {
        BinaryOp bop = (BinaryOp) hi.getInput().get(0);
        Hop left = bop.getInput().get(0);
        Hop right = bop.getInput().get(1);
        // Pattern 1) sum( X * log(U %*% t(V)))
        if (bop.getOp() == OpOp2.MULT && left.getDataType() == DataType.MATRIX && // prevent mb
        HopRewriteUtils.isEqualSize(left, right) && HopRewriteUtils.isUnary(right, OpOp1.LOG) && // ba gurantees matrices
        right.getInput().get(0) instanceof AggBinaryOp && // BLOCKSIZE CONSTRAINT
        HopRewriteUtils.isSingleBlock(right.getInput().get(0).getInput().get(0), true)) {
            Hop X = left;
            Hop U = right.getInput().get(0).getInput().get(0);
            Hop V = right.getInput().get(0).getInput().get(1);
            if (!HopRewriteUtils.isTransposeOperation(V))
                V = HopRewriteUtils.createTranspose(V);
            else
                V = V.getInput().get(0);
            hnew = new QuaternaryOp(hi.getName(), DataType.SCALAR, ValueType.DOUBLE, OpOp4.WCEMM, X, U, V, new LiteralOp(0.0), 0, false, false);
            hnew.setOutputBlocksizes(X.getRowsInBlock(), X.getColsInBlock());
            appliedPattern = true;
            LOG.debug("Applied simplifyWeightedCEMM (line " + hi.getBeginLine() + ")");
        }
        // Pattern 2) sum( X * log(U %*% t(V) + eps))
        if (!appliedPattern && bop.getOp() == OpOp2.MULT && left.getDataType() == DataType.MATRIX && HopRewriteUtils.isEqualSize(left, right) && HopRewriteUtils.isUnary(right, OpOp1.LOG) && HopRewriteUtils.isBinary(right.getInput().get(0), OpOp2.PLUS) && right.getInput().get(0).getInput().get(0) instanceof AggBinaryOp && right.getInput().get(0).getInput().get(1) instanceof LiteralOp && right.getInput().get(0).getInput().get(1).getDataType() == DataType.SCALAR && HopRewriteUtils.isSingleBlock(right.getInput().get(0).getInput().get(0).getInput().get(0), true)) {
            Hop X = left;
            Hop U = right.getInput().get(0).getInput().get(0).getInput().get(0);
            Hop V = right.getInput().get(0).getInput().get(0).getInput().get(1);
            Hop eps = right.getInput().get(0).getInput().get(1);
            if (!HopRewriteUtils.isTransposeOperation(V))
                V = HopRewriteUtils.createTranspose(V);
            else
                V = V.getInput().get(0);
            hnew = new QuaternaryOp(hi.getName(), DataType.SCALAR, ValueType.DOUBLE, OpOp4.WCEMM, X, U, V, eps, 1, false, // 1 => BASIC_EPS
            false);
            hnew.setOutputBlocksizes(X.getRowsInBlock(), X.getColsInBlock());
            LOG.debug("Applied simplifyWeightedCEMMEps (line " + hi.getBeginLine() + ")");
        }
    }
    // relink new hop into original position
    if (hnew != null) {
        HopRewriteUtils.replaceChildReference(parent, hi, hnew, pos);
        hi = hnew;
    }
    return hi;
}