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/*-
*
* * Copyright 2015 Skymind,Inc.
* *
* * Licensed under the Apache License, Version 2.0 (the "License");
* * you may not use this file except in compliance with the License.
* * You may obtain a copy of the License at
* *
* * http://www.apache.org/licenses/LICENSE-2.0
* *
* * Unless required by applicable law or agreed to in writing, software
* * distributed under the License is distributed on an "AS IS" BASIS,
* * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* * See the License for the specific language governing permissions and
* * limitations under the License.
*
*
*/
package org.nd4j.linalg.api.shape;
import com.google.common.primitives.Ints;
import lombok.NonNull;
import lombok.val;
import org.nd4j.linalg.api.buffer.DataBuffer;
import org.nd4j.linalg.api.complex.IComplexNDArray;
import org.nd4j.linalg.api.ndarray.INDArray;
import org.nd4j.linalg.api.shape.loop.coordinatefunction.CoordinateFunction;
import org.nd4j.linalg.exception.ND4JIllegalStateException;
import org.nd4j.linalg.factory.Nd4j;
import org.nd4j.linalg.indexing.INDArrayIndex;
import org.nd4j.linalg.indexing.NDArrayIndex;
import org.nd4j.linalg.indexing.ShapeOffsetResolution;
import org.nd4j.linalg.util.ArrayUtil;
import java.nio.Buffer;
import java.nio.ByteBuffer;
import java.nio.ByteOrder;
import java.nio.IntBuffer;
import java.util.*;
/**
* Encapsulates all shape related logic (vector of 0 dimension is a scalar is equivalent to
* a vector of length 1...)
*
* @author Adam Gibson
*/
public class Shape {
private Shape() {}
/**
* Return the shape of the largest length array
* based on the input
* @param inputs the inputs to get the max shape for
* @return the largest shape based on the inputs
*/
public static int[] getMaxShape(INDArray...inputs) {
if(inputs == null)
return null;
else if(inputs.length < 2)
return inputs[0].shape();
else {
int[] currMax = inputs[0].shape();
for(int i = 1; i < inputs.length; i++) {
if(inputs[i] == null) {
continue;
}
if(ArrayUtil.prod(currMax) < inputs[i].length()) {
currMax = inputs[i].shape();
}
}
return currMax;
}
}
/**
* Returns true if this shape is scalar
* @param shape the shape that is scalar
* @return
*/
public static boolean shapeIsScalar(int[] shape) {
return shape.length == 0 || ArrayUtil.prod(shape) == 1;
}
/**
* Returns true if any shape has a -1
* or a null or empty array is passed in
* @param shape the input shape to validate
* @return true if the shape is null,empty, or contains a -1 element
*/
public static boolean isPlaceholderShape(int[] shape) {
if(shape == null)
return true;
else {
for(int i = 0; i < shape.length; i++) {
if(shape[i] < 0)
return true;
}
}
return false;
}
/**
* Compute the broadcast rules according to:
* https://docs.scipy.org/doc/numpy-1.10.1/user/basics.broadcasting.html
*
* Note that the array can be null if the arrays are already equal
* in shape.
*
* This function should be used in conjunction with
* the shape ops.
*
* @param left the left array
* @param right the right array (the array to be broadcasted
* @return the broadcast dimensions if any
*/
public static int[] getBroadcastDimensions(int[] left,int[] right) {
if(Arrays.equals(left,right))
return null;
int n = Math.min(left.length,right.length);
List dims = new ArrayList<>();
int leftIdx = left.length - 1;
int rightIdx = right.length - 1;
for(int i = n - 1; i >= 0; i--) {
if(left[leftIdx] != right[rightIdx] && right[rightIdx] == 1 || left[leftIdx] == 1) {
dims.add(i);
}
else if(left[leftIdx] != right[rightIdx]) {
throw new IllegalArgumentException("Unable to broadcast dimension " + i + " due to shape mismatch. Right shape must be 1. "
+ "Left array shape: " + Arrays.toString(left) + ", right array shape: " + Arrays.toString(right));
}
leftIdx--;
rightIdx--;
}
Collections.reverse(dims);
return Ints.toArray(dims);
}
/**
* Get the broadcast output shape
* based on the 2 input shapes
* Result output shape based on:
* https://docs.scipy.org/doc/numpy-1.10.1/user/basics.broadcasting.html
*
*
* @param left the left shape
* @param right the right second
* @return
*/
public static int[] broadcastOutputShape(int[] left,int[] right) {
assertBroadcastable(left, right);
if(Arrays.equals(left,right))
return left;
int n = Math.max(left.length,right.length);
List dims = new ArrayList<>();
int leftIdx = left.length - 1;
int rightIdx = right.length - 1;
for(int i = n - 1; i >= 0; i--) {
if(leftIdx < 0) {
dims.add(right[rightIdx]);
}
else if(rightIdx < 0) {
dims.add(left[leftIdx]);
}
else if(left[leftIdx] != right[rightIdx] && right[rightIdx] == 1 || left[leftIdx] == 1) {
dims.add(Math.max(left[leftIdx],right[rightIdx]));
}
else if(left[leftIdx] == right[rightIdx]) {
dims.add(left[leftIdx]);
}
else {
throw new IllegalArgumentException("Unable to broadcast dimension " + i + " due to shape mismatch. Right shape must be 1.");
}
leftIdx--;
rightIdx--;
}
Collections.reverse(dims);
return Ints.toArray(dims);
}
/**
*
* @param newShape the new shape possibly
* containing a negative number
* @param shape the shape to calculate from
* @return
*/
public static int[] resolveNegativeShapeIfNeccessary(int[] newShape,int[] shape) {
int numberNegativesOnes = 0;
for (int i = 0; i < shape.length; i++) {
if (shape[i] < 0) {
if (numberNegativesOnes >= 1)
throw new IllegalArgumentException("Only one dimension can be negative ones");
numberNegativesOnes++;
int shapeLength = 1;
for (int j = 0; j < shape.length; j++)
if (shape[j] >= 1)
shapeLength *= shape[j];
int realShape = Math.abs(ArrayUtil.prod(newShape) / shapeLength);
int[] thisNewShape = new int[shape.length];
for (int j = 0; j < shape.length; j++) {
if (i != j) {
thisNewShape[j] = shape[j];
} else
thisNewShape[j] = realShape;
}
shape = thisNewShape;
break;
}
}
for(int i = 0; i < shape.length; i++) {
if(shape[i] == 0) {
shape[i] = 1;
}
}
return shape;
}
/**
* Returns true if the dimension is null
* or the dimension length is 1 and the first entry
* is {@link Integer#MAX_VALUE}
* @param shape the shape of the input array
* @param dimension the dimensions specified
*
* @return true if the dimension length is equal to the shape length
* the dimension is null or the dimension length is 1 and the first entry is
* {@link Integer#MAX_VALUE}
*/
public static boolean isWholeArray(int[] shape, int... dimension) {
return isWholeArray(shape.length, dimension);
}
/**
* Returns true if the dimension is null
* or the dimension length is 1 and the first entry
* is {@link Integer#MAX_VALUE}
* @param rank the rank of the input array
* @param dimension the dimensions specified
*
* @return true if the dimension length is equal to the rank,
* the dimension is null or the dimension length is 1 and the first entry is
* {@link Integer#MAX_VALUE}
*/
public static boolean isWholeArray(int rank, int... dimension){
return rank == 0 || dimension == null || dimension.length == 0 ||
(dimension.length == 1 && dimension[0] == Integer.MAX_VALUE) || dimension.length == rank;
}
/**
* Get the shape of the reduced array
* @param wholeShape the shape of the array
* with the reduce op being performed
* @param dimensions the dimensions the reduce op is being performed on
* @return the shape of the result array as the result of the reduce
*/
public static int[] getReducedShape(int[] wholeShape, int[] dimensions) {
if (isWholeArray(wholeShape, dimensions))
return new int[] {};
else if (dimensions.length == 1 && wholeShape.length == 2) {
int[] ret = new int[2];
if (dimensions[0] == 1) {
ret[0] = wholeShape[0];
ret[1] = 1;
} else if (dimensions[0] == 0) {
ret[0] = 1;
ret[1] = wholeShape[1];
}
return ret;
}
return ArrayUtil.removeIndex(wholeShape, dimensions);
}
/**
* Get the shape of the reduced array
*
* @param wholeShape the shape of the array
* with the reduce op being performed
* @param dimensions the dimensions the reduce op is being performed on
* @param keepDims if set to true, corresponding dimensions will be set to 1
* @return the shape of the result array as the result of the reduce
*/
public static int[] getReducedShape(int[] wholeShape, int[] dimensions, boolean keepDims, boolean newFormat) {
// we need to normalize dimensions, in case they have negative values or unsorted, or whatever
dimensions = Shape.normalizeAxis(wholeShape.length, dimensions);
// strip leading keepDims argument
//if (newFormat)
// dimensions = Arrays.copyOfRange(dimensions, 1, dimensions.length);
if (!keepDims)
if (!newFormat)
return getReducedShape(wholeShape, dimensions);
else {
if (isWholeArray(wholeShape, dimensions))
return new int[] {};
else if (dimensions.length == 1 && wholeShape.length == 2) {
int[] ret = new int[1];
if (dimensions[0] == 1) {
ret[0] = wholeShape[0];
} else if (dimensions[0] == 0) {
ret[0] = wholeShape[1];
}
return ret;
}
return ArrayUtil.removeIndex(wholeShape, dimensions);
}
// we'll return full array of 1 as shape
if (isWholeArray(wholeShape, dimensions)) {
val result = new int[wholeShape.length];
Arrays.fill(result, 1);
return result;
}
val result = Arrays.copyOf(wholeShape, wholeShape.length);
for (val dim: dimensions)
result[dim] = 1;
return result;
}
/**
* Get the output shape of a matrix multiply
*
* @param left the first matrix shape to multiply
* @param right the second matrix shape to multiply
* @return the shape of the output array (the left's rows and right's columns)
*/
public static int[] getMatrixMultiplyShape(int[] left, int[] right) {
if(Shape.shapeIsScalar(left)) {
return right;
}
if(Shape.shapeIsScalar(right)) {
return left;
}
if (left.length != 2 && right.length != 2) {
throw new IllegalArgumentException("Illegal shapes for matrix multiply. Must be of length 2");
}
for(int i = 0; i < left.length; i++) {
if(left[i] < 1)
throw new ND4JIllegalStateException("Left shape contained value < 0 at index " + i);
}
for(int i = 0; i < right.length; i++) {
if(right[i] < 1)
throw new ND4JIllegalStateException("Right shape contained value < 0 at index " + i);
}
if (left.length > 1 && left[1] != right[0])
throw new IllegalArgumentException("Columns of left not equal to rows of right");
if(left.length < right.length) {
if(left[0] == right[0]) {
return new int[] {1, right[1]};
}
}
int[] shape = {left[0], right[1]};
return shape;
}
/**
* Create a copy of the matrix
* where the new offset is zero
*
* @param arr the array to copy to offset 0
* @return the same array if offset is zero
* otherwise a copy of the array with
* elements set to zero
*/
public static INDArray toOffsetZero(INDArray arr) {
if (arr.offset() < 1 && arr.data().length() == arr.length()
|| arr instanceof IComplexNDArray && arr.length() * 2 == arr.data().length())
if (arr.ordering() == 'f' && arr.stride(-1) != arr.elementStride()
|| arr.ordering() == 'c' && arr.stride(0) != arr.elementStride())
return arr;
if (arr.isRowVector()) {
if (arr instanceof IComplexNDArray) {
IComplexNDArray ret = Nd4j.createComplex(arr.shape());
for (int i = 0; i < ret.length(); i++)
ret.putScalar(i, ((IComplexNDArray) arr).getComplex(i));
return ret;
} else {
INDArray ret = Nd4j.create(arr.shape());
for (int i = 0; i < ret.length(); i++)
ret.putScalar(i, arr.getDouble(i));
return ret;
}
}
if (arr instanceof IComplexNDArray) {
IComplexNDArray ret = Nd4j.createComplex(arr.shape());
for (int i = 0; i < ret.slices(); i++)
ret.putSlice(i, arr.slice(i));
return ret;
} else {
INDArray ret = Nd4j.create(arr.shape(), arr.ordering());
ret.assign(arr);
return ret;
}
}
/**
* Create a copy of the ndarray where the new offset is zero
*
* @param arr the array to copy to offset 0
* @return a copy of the array with elements set to zero offset
*/
public static INDArray toOffsetZeroCopy(INDArray arr) {
return toOffsetZeroCopyHelper(arr, Nd4j.order(), false);
}
/**Create a copy of the ndarray where the new offset is zero, and has specified order
* @param arr the array to copy to offset 0
* @param order the order of the returned array
* @return a copy of the array with elements set to zero offset, and with specified order
*/
public static INDArray toOffsetZeroCopy(INDArray arr, char order) {
return toOffsetZeroCopyHelper(arr, order, false);
}
/** Create a copy of the ndarray where the new offset is zero.
* Unlike toOffsetZeroCopy(INDArray) (which always returns arrays of order Nd4j.order()),
* and toOffsetZeroCopy(INDArray,char) (which always returns arrays of a specified order)
* this method returns NDArrays of any order (sometimes c, sometimes f).
* This method may be faster than the other two toOffsetZeroCopyAnyOrder methods as a result,
* however no performance benefit (or cost) relative to them will be observed in many cases.
* If a copy is necessary, the output will have order Nd4j.order()
* @param arr NDArray to duplicate
* @return Copy with offset 0, but order might be c, or might be f
*/
public static INDArray toOffsetZeroCopyAnyOrder(INDArray arr) {
return toOffsetZeroCopyHelper(arr, Nd4j.order(), true);
}
private static INDArray toOffsetZeroCopyHelper(final INDArray arr, char order, boolean anyOrder) {
if (arr instanceof IComplexNDArray) {
if (arr.isRowVector()) {
IComplexNDArray ret = Nd4j.createComplex(arr.shape(), order);
for (int i = 0; i < ret.length(); i++)
ret.putScalar(i, ((IComplexNDArray) arr).getComplex(i));
return ret;
}
IComplexNDArray ret = Nd4j.createComplex(arr.shape(), order);
for (int i = 0; i < ret.slices(); i++)
ret.putSlice(i, arr.slice(i));
return ret;
} else {
//Use CopyOp:
char outOrder = (anyOrder ? arr.ordering() : order);
if (outOrder == 'a')
outOrder = Nd4j.order();
INDArray z = Nd4j.createUninitialized(arr.shape(), outOrder);
z.assign(arr);
return z;
}
}
/**
* Get a double based on the array and given indices
*
* @param arr the array to retrieve the double from
* @param indices the indices to iterate over
* @return the double at the specified index
*/
public static double getDouble(INDArray arr, int... indices) {
long offset = getOffset(arr.shapeInfo(), indices);
return arr.data().getDouble(offset);
}
/**
* Iterate over 2
* coordinate spaces given 2 arrays
* @param arr the first array
* @param coordinateFunction the coordinate function to use
*
*/
public static void iterate(INDArray arr, CoordinateFunction coordinateFunction) {
Shape.iterate(0, arr.rank(), arr.shape(), new int[arr.rank()], coordinateFunction);
}
/**
* Iterate over 2
* coordinate spaces given 2 arrays
* @param arr the first array
* @param arr2 the second array
* @param coordinateFunction the coordinate function to use
*
*/
public static void iterate(INDArray arr, INDArray arr2, CoordinateFunction coordinateFunction) {
Shape.iterate(0, arr.rank(), arr.shape(), new int[arr.rank()], 0, arr2.rank(), arr2.shape(),
new int[arr2.rank()], coordinateFunction);
}
/**
* Iterate over a pair of coordinates
* @param dimension
* @param n
* @param size
* @param res
* @param dimension2
* @param n2
* @param size2
* @param res2
* @param func
*/
public static void iterate(int dimension, int n, int[] size, int[] res, int dimension2, int n2, int[] size2,
int[] res2, CoordinateFunction func) {
if (dimension >= n || dimension2 >= n2) {
// stop clause
func.process(res, res2);
return;
}
if (size2.length != size.length) {
if (dimension >= size.length)
return;
for (int i = 0; i < size[dimension]; i++) {
if (dimension2 >= size2.length)
break;
for (int j = 0; j < size2[dimension2]; j++) {
res[dimension] = i;
res2[dimension2] = j;
iterate(dimension + 1, n, size, res, dimension2 + 1, n2, size2, res2, func);
}
}
} else {
if (dimension >= size.length)
return;
for (int i = 0; i < size[dimension]; i++) {
for (int j = 0; j < size2[dimension2]; j++) {
if (dimension2 >= size2.length)
break;
res[dimension] = i;
res2[dimension2] = j;
iterate(dimension + 1, n, size, res, dimension2 + 1, n2, size2, res2, func);
}
}
}
}
/**
* Iterate over a pair of coordinates
* @param dimension
* @param n
* @param size
*/
public static void iterate(int dimension, int n, int[] size, int[] res, CoordinateFunction func) {
if (dimension >= n) { //stop clause
func.process(res);
return;
}
for (int i = 0; i < size[dimension]; i++) {
res[dimension] = i;
iterate(dimension + 1, n, size, res, func);
}
}
/**
* Get an offset for retrieval
* from a data buffer
* based on the given
* shape stride and given indices
* @param baseOffset the offset to start from
* @param shape the shape of the array
* @param stride the stride of the array
* @param indices the indices to iterate over
* @return the double at the specified index
*/
public static long getOffset(long baseOffset, int[] shape, int[] stride, int... indices) {
//int ret = mappers[shape.length].getOffset(baseOffset, shape, stride, indices);
if (shape.length != stride.length || indices.length != shape.length)
throw new IllegalArgumentException("Indexes, shape, and stride must be the same length");
long offset = baseOffset;
for (int i = 0; i < shape.length; i++) {
if (indices[i] >= shape[i])
throw new IllegalArgumentException(
String.format("J: Index [%d] must not be >= shape[%d]=%d.", i, i, shape[i]));
if (shape[i] != 1) {
offset += indices[i] * stride[i];
}
}
return offset;
}
/**
* Get the offset of the specified indices from the shape info buffer
*
* @param shapeInformation Shape information to get the offset for
* @param indices Indices array to get the offset for (must be same length as array rank)
* @return Buffer offset fo the specified indices
*/
public static long getOffset(IntBuffer shapeInformation, int... indices) {
int rank = rank(shapeInformation);
if (indices.length != rank)
throw new IllegalArgumentException("Indexes must be same length as array rank");
long offset = 0;
for (int i = 0; i < rank; i++) {
int size_dimi = size(shapeInformation, i);
if (size_dimi != 1) {
offset += indices[i] * stride(shapeInformation, i);
}
}
return offset;
}
/**
* Get the offset of the specified indices from the shape info buffer
*
* @param shapeInformation Shape information to get the offset for
* @param indices Indices array to get the offset for (must be same length as array rank)
* @return Buffer offset fo the specified indices
*/
public static long getOffset(DataBuffer shapeInformation, int... indices) {
int rank = rank(shapeInformation);
if (indices.length != rank)
throw new IllegalArgumentException("Indexes must be same length as array rank");
long offset = 0;
for (int i = 0; i < rank; i++) {
int size_dimi = size(shapeInformation, i);
if (indices[i] > size_dimi)
throw new IllegalArgumentException(
String.format("J: Index [%d] must not be >= shape[%d]=%d.", i, i, size_dimi));
if (size_dimi != 1) {
offset += indices[i] * stride(shapeInformation, i);
}
}
return offset;
}
public static long getOffset(int[] shapeInformation, int... indices) {
int rank = rank(shapeInformation);
long offset = 0;
for (int i = 0; i < Math.min(rank,indices.length); i++) {
int size_dimi = size(shapeInformation, i);
if (indices[i] > size_dimi)
throw new IllegalArgumentException(
String.format("J: Index [%d] must not be >= shape[%d]=%d.", i, i, size_dimi));
if (size_dimi != 1) {
offset += indices[i] * stride(shapeInformation, i);
}
}
return offset;
}
/** Get the offset of the specified [row,col] for the 2d array
*
* @param shapeInformation Shape information
* @param row Row index to get the offset for
* @param col Column index to get the offset for
* @return Buffer offset
*/
public static long getOffset(DataBuffer shapeInformation, int row, int col) {
int rank = rank(shapeInformation);
if (rank != 2)
throw new IllegalArgumentException(
"Cannot use this getOffset method on arrays of rank != 2 (rank is: " + rank + ")");
return getOffsetUnsafe(shapeInformation, row, col);
}
/**
* Identical to {@link Shape#getOffset(DataBuffer, int, int)} but without input validation on array rank
*/
public static long getOffsetUnsafe(DataBuffer shapeInformation, int row, int col) {
long offset = 0;
int size_0 = sizeUnsafe(shapeInformation, 0);
int size_1 = sizeUnsafe(shapeInformation, 1);
if (row >= size_0 || col >= size_1)
throw new IllegalArgumentException("Invalid indices: cannot get [" + row + "," + col + "] from a "
+ Arrays.toString(shape(shapeInformation)) + " NDArray");
if (size_0 != 1)
offset += row * strideUnsafe(shapeInformation, 0, 2);
if (size_1 != 1)
offset += col * strideUnsafe(shapeInformation, 1, 2);
return offset;
}
public static long getOffsetUnsafe(int[] shapeInformation, int row, int col) {
long offset = 0;
int size_0 = sizeUnsafe(shapeInformation, 0);
int size_1 = sizeUnsafe(shapeInformation, 1);
if (row >= size_0 || col >= size_1 && !Shape.isVector(Shape.shape(shapeInformation)) && !Shape.shapeIsScalar(Shape.shape(shapeInformation)))
throw new IllegalArgumentException("Invalid indices: cannot get [" + row + "," + col + "] from a "
+ Arrays.toString(shape(shapeInformation)) + " NDArray");
if (size_0 != 1)
offset += row * strideUnsafe(shapeInformation, 0, 2);
if (size_1 != 1)
offset += col * strideUnsafe(shapeInformation, 1, 2);
return offset;
}
/** Get the offset of the specified [row,col] for the 2d array
*
* @param shapeInformation Shape information
* @param row Row index to get the offset for
* @param col Column index to get the offset for
* @return Buffer offset
*/
public static long getOffset(IntBuffer shapeInformation, int row, int col) {
int rank = rank(shapeInformation);
if (rank != 2)
throw new IllegalArgumentException(
"Cannot use this getOffset method on arrays of rank != 2 (rank is: " + rank + ")");
long offset = 0;
int size_0 = size(shapeInformation, 0);
int size_1 = size(shapeInformation, 1);
if (row >= size_0 || col >= size_1)
throw new IllegalArgumentException("Invalid indices: cannot get [" + row + "," + col + "] from a "
+ Arrays.toString(shape(shapeInformation)) + " NDArray");
if (size_0 != 1)
offset += row * stride(shapeInformation, 0);
if (size_1 != 1)
offset += col * stride(shapeInformation, 1);
return offset;
}
/** Get the offset of the specified [dim0,dim1,dim2] for the 3d array
*
* @param shapeInformation Shape information
* @param dim0 Row index to get the offset for
* @param dim1 Column index to get the offset for
* @param dim2 dimension 2 index to get the offset for
* @return Buffer offset
*/
public static long getOffset(IntBuffer shapeInformation, int dim0, int dim1, int dim2) {
int rank = rank(shapeInformation);
if (rank != 3)
throw new IllegalArgumentException(
"Cannot use this getOffset method on arrays of rank != 3 (rank is: " + rank + ")");
long offset = 0;
int size_0 = size(shapeInformation, 0);
int size_1 = size(shapeInformation, 1);
int size_2 = size(shapeInformation, 2);
if (dim0 >= size_0 || dim1 >= size_1 || dim2 >= size_2)
throw new IllegalArgumentException("Invalid indices: cannot get [" + dim0 + "," + dim1 + "," + dim2
+ "] from a " + Arrays.toString(shape(shapeInformation)) + " NDArray");
if (size_0 != 1)
offset += dim0 * stride(shapeInformation, 0);
if (size_1 != 1)
offset += dim1 * stride(shapeInformation, 1);
if (size_2 != 1)
offset += dim2 * stride(shapeInformation, 2);
return offset;
}
/** Get the offset of the specified [dim0,dim1,dim2] for the 3d array
*
* @param shapeInformation Shape information
* @param dim0 Row index to get the offset for
* @param dim1 Column index to get the offset for
* @param dim2 dimension 2 index to get the offset for
* @return Buffer offset
*/
public static long getOffset(DataBuffer shapeInformation, int dim0, int dim1, int dim2) {
int rank = rank(shapeInformation);
if (rank != 3)
throw new IllegalArgumentException(
"Cannot use this getOffset method on arrays of rank != 3 (rank is: " + rank + ")");
return getOffsetUnsafe(shapeInformation, dim0, dim1, dim2);
}
/**
* Identical to {@link Shape#getOffset(DataBuffer, int, int, int)} but without input validation on array rank
*/
public static long getOffsetUnsafe(DataBuffer shapeInformation, int dim0, int dim1, int dim2) {
long offset = 0;
int size_0 = sizeUnsafe(shapeInformation, 0);
int size_1 = sizeUnsafe(shapeInformation, 1);
int size_2 = sizeUnsafe(shapeInformation, 2);
if (dim0 >= size_0 || dim1 >= size_1 || dim2 >= size_2)
throw new IllegalArgumentException("Invalid indices: cannot get [" + dim0 + "," + dim1 + "," + dim2
+ "] from a " + Arrays.toString(shape(shapeInformation)) + " NDArray");
if (size_0 != 1)
offset += dim0 * strideUnsafe(shapeInformation, 0, 3);
if (size_1 != 1)
offset += dim1 * strideUnsafe(shapeInformation, 1, 3);
if (size_2 != 1)
offset += dim2 * strideUnsafe(shapeInformation, 2, 3);
return offset;
}
public static long getOffsetUnsafe(int[] shapeInformation, int dim0, int dim1, int dim2) {
int offset = 0;
int size_0 = sizeUnsafe(shapeInformation, 0);
int size_1 = sizeUnsafe(shapeInformation, 1);
int size_2 = sizeUnsafe(shapeInformation, 2);
if (dim0 >= size_0 || dim1 >= size_1 || dim2 >= size_2)
throw new IllegalArgumentException("Invalid indices: cannot get [" + dim0 + "," + dim1 + "," + dim2
+ "] from a " + Arrays.toString(shapeInformation) + " NDArray");
if (size_0 != 1)
offset += dim0 * strideUnsafe(shapeInformation, 0, 3);
if (size_1 != 1)
offset += dim1 * strideUnsafe(shapeInformation, 1, 3);
if (size_2 != 1)
offset += dim2 * strideUnsafe(shapeInformation, 2, 3);
return offset;
}
/** Get the offset of the specified [dim0,dim1,dim2,dim3] for the 4d array
*
* @param shapeInformation Shape information
* @param dim0 Row index to get the offset for
* @param dim1 Column index to get the offset for
* @param dim2 dimension 2 index to get the offset for
* @param dim3 dimension 3 index to get the offset for
* @return Buffer offset
*/
public static long getOffset(IntBuffer shapeInformation, int dim0, int dim1, int dim2, int dim3) {
int rank = rank(shapeInformation);
if (rank != 4)
throw new IllegalArgumentException(
"Cannot use this getOffset method on arrays of rank != 4 (rank is: " + rank + ")");
long offset = 0;
int size_0 = size(shapeInformation, 0);
int size_1 = size(shapeInformation, 1);
int size_2 = size(shapeInformation, 2);
int size_3 = size(shapeInformation, 3);
if (dim0 >= size_0 || dim1 >= size_1 || dim2 >= size_2 || dim3 >= size_3)
throw new IllegalArgumentException("Invalid indices: cannot get [" + dim0 + "," + dim1 + "," + dim2 + ","
+ dim3 + "] from a " + Arrays.toString(shape(shapeInformation)) + " NDArray");
if (size_0 != 1)
offset += dim0 * stride(shapeInformation, 0);
if (size_1 != 1)
offset += dim1 * stride(shapeInformation, 1);
if (size_2 != 1)
offset += dim2 * stride(shapeInformation, 2);
if (size_3 != 1)
offset += dim3 * stride(shapeInformation, 3);
return offset;
}
/** Get the offset of the specified [dim0,dim1,dim2,dim3] for the 4d array
*
* @param shapeInformation Shape information
* @param dim0 Row index to get the offset for
* @param dim1 Column index to get the offset for
* @param dim2 dimension 2 index to get the offset for
* @param dim3 dimension 3 index to get the offset for
* @return Buffer offset
*/
public static long getOffset(DataBuffer shapeInformation, int dim0, int dim1, int dim2, int dim3) {
int rank = rank(shapeInformation);
if (rank != 4)
throw new IllegalArgumentException(
"Cannot use this getOffset method on arrays of rank != 4 (rank is: " + rank + ")");
return getOffsetUnsafe(shapeInformation, dim0, dim1, dim2, dim3);
}
public static long getOffsetUnsafe(DataBuffer shapeInformation, int dim0, int dim1, int dim2, int dim3) {
long offset = 0;
int size_0 = sizeUnsafe(shapeInformation, 0);
int size_1 = sizeUnsafe(shapeInformation, 1);
int size_2 = sizeUnsafe(shapeInformation, 2);
int size_3 = sizeUnsafe(shapeInformation, 3);
if (dim0 >= size_0 || dim1 >= size_1 || dim2 >= size_2 || dim3 >= size_3)
throw new IllegalArgumentException("Invalid indices: cannot get [" + dim0 + "," + dim1 + "," + dim2 + ","
+ dim3 + "] from a " + Arrays.toString(shape(shapeInformation)) + " NDArray");
if (size_0 != 1)
offset += dim0 * strideUnsafe(shapeInformation, 0, 4);
if (size_1 != 1)
offset += dim1 * strideUnsafe(shapeInformation, 1, 4);
if (size_2 != 1)
offset += dim2 * strideUnsafe(shapeInformation, 2, 4);
if (size_3 != 1)
offset += dim3 * strideUnsafe(shapeInformation, 3, 4);
return offset;
}
public static long getOffsetUnsafe(int[] shapeInformation, int dim0, int dim1, int dim2, int dim3) {
long offset = 0;
int size_0 = sizeUnsafe(shapeInformation, 0);
int size_1 = sizeUnsafe(shapeInformation, 1);
int size_2 = sizeUnsafe(shapeInformation, 2);
int size_3 = sizeUnsafe(shapeInformation, 3);
if (dim0 >= size_0 || dim1 >= size_1 || dim2 >= size_2 || dim3 >= size_3)
throw new IllegalArgumentException("Invalid indices: cannot get [" + dim0 + "," + dim1 + "," + dim2 + ","
+ dim3 + "] from a " + Arrays.toString(shape(shapeInformation)) + " NDArray");
if (size_0 != 1)
offset += dim0 * strideUnsafe(shapeInformation, 0, 4);
if (size_1 != 1)
offset += dim1 * strideUnsafe(shapeInformation, 1, 4);
if (size_2 != 1)
offset += dim2 * strideUnsafe(shapeInformation, 2, 4);
if (size_3 != 1)
offset += dim3 * strideUnsafe(shapeInformation, 3, 4);
return offset;
}
/**
* Output an int array for a particular dimension
* @param axes the axes
* @param shape the current shape
* @return
*/
public static int[] sizeForAxes(int[] axes, int[] shape) {
int[] ret = new int[shape.length];
for (int i = 0; i < axes.length; i++) {
ret[i] = shape[axes[i]];
}
return ret;
}
/**
* Returns whether the given shape is a vector
*
* @param shapeInfo the shapeinfo to test
* @return whether the given shape is a vector
*/
public static boolean isVector(IntBuffer shapeInfo) {
int rank = Shape.rank(shapeInfo);
if (rank > 2 || rank < 1)
return false;
else {
int len = Shape.length(shapeInfo);
IntBuffer shape = Shape.shapeOf(shapeInfo);
return shape.get(0) == len || shape.get(1) == len;
}
}
/**
* Returns whether the given shape is a vector
*
* @param shapeInfo the shapeinfo to test
* @return whether the given shape is a vector
*/
public static boolean isVector(DataBuffer shapeInfo) {
int rank = Shape.rank(shapeInfo);
if (rank > 2 || rank < 1)
return false;
else {
int len = Shape.length(shapeInfo);
DataBuffer shape = Shape.shapeOf(shapeInfo);
return shape.getInt(0) == len || shape.getInt(1) == len;
}
}
/**
* Returns whether the given shape is a vector
*
* @param shape the shape to test
* @return whether the given shape is a vector
*/
public static boolean isVector(int[] shape) {
if (shape.length > 2 || shape.length < 1)
return false;
else {
long len = ArrayUtil.prodLong(shape);
return shape[0] == len || shape[1] == len;
}
}
/**
* Returns whether the passed in shape is a matrix
*
* @param shapeInfo whether the passed in shape is a matrix
* @return true if the shape is a matrix false otherwise
*/
public static boolean isMatrix(IntBuffer shapeInfo) {
int rank = Shape.rank(shapeInfo);
if (rank != 2)
return false;
return !isVector(shapeInfo);
}
/**
* Returns whether the passed in shape is a matrix
*
* @param shapeInfo whether the passed in shape is a matrix
* @return true if the shape is a matrix false otherwise
*/
public static boolean isMatrix(DataBuffer shapeInfo) {
int rank = Shape.rank(shapeInfo);
if (rank != 2)
return false;
return !isVector(shapeInfo);
}
/**
* Returns whether the passed in shape is a matrix
*
* @param shape whether the passed in shape is a matrix
* @return true if the shape is a matrix false otherwise
*/
public static boolean isMatrix(int[] shape) {
if (shape.length != 2)
return false;
return !isVector(shape);
}
/**
* Gets rid of any singleton dimensions of the given array
*
* @param shape the shape to squeeze
* @return the array with all of the singleton dimensions removed
*/
public static int[] squeeze(int[] shape) {
if (isColumnVectorShape(shape))
return shape;
List ret = new ArrayList<>();
//strip all but last dimension
for (int i = 0; i < shape.length; i++)
if (shape[i] != 1)
ret.add(shape[i]);
return ArrayUtil.toArray(ret);
}
/**
* Returns whether 2 shapes are equals by checking for dimension semantics
* as well as array equality
*
* @param shape1 the first shape for comparison
* @param shape2 the second shape for comparison
* @return whether the shapes are equivalent
*/
public static boolean shapeEquals(int[] shape1, int[] shape2) {
if (isColumnVectorShape(shape1) && isColumnVectorShape(shape2)) {
return Arrays.equals(shape1, shape2);
}
if (isRowVectorShape(shape1) && isRowVectorShape(shape2)) {
int[] shape1Comp = squeeze(shape1);
int[] shape2Comp = squeeze(shape2);
return Arrays.equals(shape1Comp, shape2Comp);
}
//scalars
if(shape1.length == 0 || shape2.length == 0) {
if(shape1.length == 0 && shapeIsScalar(shape2)) {
return true;
}
if(shape2.length == 0 && shapeIsScalar(shape1)) {
return true;
}
}
shape1 = squeeze(shape1);
shape2 = squeeze(shape2);
return scalarEquals(shape1, shape2) || Arrays.equals(shape1, shape2);
}
/**
* Returns true if the given shapes are both scalars (0 dimension or shape[0] == 1)
*
* @param shape1 the first shape for comparison
* @param shape2 the second shape for comparison
* @return whether the 2 shapes are equal based on scalar rules
*/
public static boolean scalarEquals(int[] shape1, int[] shape2) {
if (shape1.length == 0 && shape2.length == 1 && shape2[0] == 1) {
return true;
} else if (shape2.length == 0 && shape1.length == 1 && shape1[0] == 1) {
return true;
}
return false;
}
/**
* Returns true if the given shape is of length 1
* or provided the shape length is 2:
* element 0 is 1
* @param shapeInfo the shape info to check
* @return true if the above conditions hold,false otherwise
*/
public static boolean isRowVectorShape(DataBuffer shapeInfo) {
int rank = Shape.rank(shapeInfo);
DataBuffer shape = Shape.shapeOf(shapeInfo);
return (rank == 2 && shape.getInt(0) == 1) || rank == 1;
}
/**
* Returns true if the given shape is of length 1
* or provided the shape length is 2:
* element 0 is 1
* @param shapeInfo the shape info to check
* @return true if the above conditions hold,false otherwise
*/
public static boolean isRowVectorShape(IntBuffer shapeInfo) {
int rank = Shape.rank(shapeInfo);
IntBuffer shape = Shape.shapeOf(shapeInfo);
return (rank == 2 && shape.get(0) == 1) || rank == 1;
}
/**
* Returns true if the given shape is of length 1
* or provided the shape length is 2:
* element 0 is 1
* @param shape the shape to check
* @return true if the above conditions hold,false otherwise
*/
public static boolean isRowVectorShape(int[] shape) {
return (shape.length == 2 && shape[0] == 1) || shape.length == 1;
}
/**
* Returns true if the given shape is length 2 and
* the size at element 1 is 1
* @param shape the shape to check
* @return true if the above listed conditions
* hold false otherwise
*/
public static boolean isColumnVectorShape(int[] shape) {
return (shape.length == 2 && shape[1] == 1);
}
/**
* Returns true if the given shape length is 2
* and the size at element 1 is 1
* @param shape
* @return
*/
public static boolean isColumnVectorShape(long[] shape) {
return (shape.length == 2 && shape[1] == 1);
}
/**
* If a shape array is ony 1 in length
* it returns a row vector
* @param shape the shape of the array
* @return the shape as is if its already >= 2 in length
* otherwise a row vector shape
*/
public static int[] ensureAtMinRowVector(int... shape) {
if (shape.length >= 2)
return shape;
return new int[] {1, shape[0]};
}
public static long getTADLength(int[] shape, int... dimensions) {
int tadLength = 1;
for (int i = 0; i < dimensions.length; i++) {
tadLength *= shape[dimensions[i]];
}
return tadLength;
}
/**
*
* @param shape
* @param stride
* @param isFOrder
* @return
*/
public static int elementWiseStride(int[] shape, int[] stride, boolean isFOrder) {
// 0D edge case
if (shape.length == 0 && stride.length == 0)
return 1;
if (shape.length == 1 && stride.length == 1)
return 1;
int oldnd;
int[] olddims = ArrayUtil.copy(shape);
int[] oldstrides = ArrayUtil.copy(stride);
long np, op, last_stride;
int oi, oj, ok, ni, nj, nk;
long[] newStrides = new long[stride.length];
oldnd = 0;
//set the shape to be 1 x length
int newShapeRank = 2;
long[] newShape = new long[shape.length];
newShape[0] = 1;
newShape[1] = ArrayUtil.prodLong(shape);
/*
* Remove axes with dimension 1 from the old array. They have no effect
* but would need special cases since their strides do not matter.
*/
for (oi = 0; oi < shape.length; oi++) {
if (shape[oi] != 1) {
olddims[oldnd] = shape[oi];
oldstrides[oldnd] = stride[oi];
oldnd++;
}
}
np = 1;
for (ni = 0; ni < newShapeRank; ni++) {
np *= newShape[ni];
}
op = 1;
for (oi = 0; oi < oldnd; oi++) {
op *= olddims[oi];
}
if (np != op) {
/* different total sizes; no hope */
return -1;
}
if (np == 0) {
/* the current code does not handle 0-sized arrays, so give up */
return -1;
}
/* oi to oj and ni to nj give the axis ranges currently worked with */
oi = 0;
oj = 1;
ni = 0;
nj = 1;
while (ni < newShapeRank && oi < oldnd) {
np = newShape[ni];
op = olddims[oi];
while (np != op) {
if (np < op) {
/* Misses trailing 1s, these are handled later */
np *= newShape[nj++];
} else {
op *= olddims[oj++];
}
}
/* Check whether the original axes can be combined */
for (ok = oi; ok < oj - 1; ok++) {
if (isFOrder) {
if (oldstrides[ok + 1] != olddims[ok] * oldstrides[ok]) {
/* not contiguous enough */
return -1;
}
} else {
/* C order */
if (oldstrides[ok] != olddims[ok + 1] * oldstrides[ok + 1]) {
/* not contiguous enough */
return -1;
}
}
}
/* Calculate new strides for all axes currently worked with */
if (isFOrder) {
newStrides[ni] = oldstrides[oi];
for (nk = ni + 1; nk < nj; nk++) {
newStrides[nk] = newStrides[nk - 1] * newShape[nk - 1];
}
} else {
/* C order */
newStrides[nj - 1] = oldstrides[oj - 1];
for (nk = nj - 1; nk > ni; nk--) {
newStrides[nk - 1] = newStrides[nk] * newShape[nk];
}
}
ni = nj++;
oi = oj++;
}
/*
* Set strides corresponding to trailing 1s of the new shape.
*/
if (ni >= 1) {
last_stride = newStrides[ni - 1];
} else {
last_stride = stride[shape.length - 1];
}
if (isFOrder && ni >= 1) {
last_stride *= newShape[ni - 1];
}
for (nk = ni; nk < newShapeRank; nk++) {
newStrides[nk] = last_stride;
}
if (newStrides[newShapeRank - 1] >= Integer.MAX_VALUE)
throw new IllegalArgumentException("Element size can not be >= Integer.MAX_VALUE");
//returns the last element of the new stride array
return (int) newStrides[newShapeRank - 1];
}
/**
* A port of numpy's reshaping algorithm that leverages
* no copy where possible and returns
* null if the reshape
* couldn't happen without copying
* @param arr the array to reshape
* @param newShape the new shape
* @param isFOrder whether the array will be fortran ordered or not
* @return null if a reshape isn't possible, or a new ndarray
*/
public static INDArray newShapeNoCopy(INDArray arr, int[] newShape, boolean isFOrder) {
int oldnd;
int[] olddims = ArrayUtil.copy(arr.shape());
int[] oldstrides = ArrayUtil.copy(arr.stride());
int np, op, last_stride;
int oi, oj, ok, ni, nj, nk;
int[] newStrides = new int[newShape.length];
oldnd = 0;
/*
* Remove axes with dimension 1 from the old array. They have no effect
* but would need special cases since their strides do not matter.
*/
for (oi = 0; oi < arr.rank(); oi++) {
if (arr.size(oi) != 1) {
olddims[oldnd] = arr.size(oi);
oldstrides[oldnd] = arr.stride(oi);
oldnd++;
}
}
np = 1;
for (ni = 0; ni < newShape.length; ni++) {
np *= newShape[ni];
}
op = 1;
for (oi = 0; oi < oldnd; oi++) {
op *= olddims[oi];
}
if (np != op) {
/* different total sizes; no hope */
return null;
}
if (np == 0) {
/* the current code does not handle 0-sized arrays, so give up */
return null;
}
/* oi to oj and ni to nj give the axis ranges currently worked with */
oi = 0;
oj = 1;
ni = 0;
nj = 1;
while (ni < newShape.length && oi < oldnd) {
np = newShape[ni];
op = olddims[oi];
while (np != op) {
if (np < op) {
/* Misses trailing 1s, these are handled later */
np *= newShape[nj++];
} else {
op *= olddims[oj++];
}
}
/* Check whether the original axes can be combined */
for (ok = oi; ok < oj - 1; ok++) {
if (isFOrder) {
if (oldstrides[ok + 1] != olddims[ok] * oldstrides[ok]) {
/* not contiguous enough */
return null;
}
} else {
/* C order */
if (oldstrides[ok] != olddims[ok + 1] * oldstrides[ok + 1]) {
/* not contiguous enough */
return null;
}
}
}
/* Calculate new strides for all axes currently worked with */
if (isFOrder) {
newStrides[ni] = oldstrides[oi];
for (nk = ni + 1; nk < nj; nk++) {
newStrides[nk] = newStrides[nk - 1] * newShape[nk - 1];
}
} else {
/* C order */
newStrides[nj - 1] = oldstrides[oj - 1];
for (nk = nj - 1; nk > ni; nk--) {
newStrides[nk - 1] = newStrides[nk] * newShape[nk];
}
}
ni = nj++;
oi = oj++;
}
/*
* Set strides corresponding to trailing 1s of the new shape.
*/
if (ni >= 1) {
last_stride = newStrides[ni - 1];
} else {
last_stride = arr.elementStride();
}
if (isFOrder && ni >= 1) {
last_stride *= newShape[ni - 1];
}
for (nk = ni; nk < newShape.length; nk++) {
newStrides[nk] = last_stride;
}
if (arr instanceof IComplexNDArray)
return Nd4j.createComplex(arr.data(), newShape, newStrides, arr.offset());
INDArray ret = Nd4j.create(arr.data(), newShape, newStrides, arr.offset(), isFOrder ? 'f' : 'c');
return ret;
}
/**
* Infer order from
* @param shape the shape to infer by
* @param stride the stride to infer by
* @param elementStride the element stride to start at
* @return the storage order given shape and element stride
*/
public static boolean cOrFortranOrder(int[] shape, int[] stride, int elementStride) {
int sd;
int dim;
int i;
boolean cContiguous = true;
boolean isFortran = true;
sd = 1;
for (i = shape.length - 1; i >= 0; --i) {
dim = shape[i];
if (stride[i] != sd) {
cContiguous = false;
break;
}
/* contiguous, if it got this far */
if (dim == 0) {
break;
}
sd *= dim;
}
/* check if fortran contiguous */
sd = elementStride;
for (i = 0; i < shape.length; ++i) {
dim = shape[i];
if (stride[i] != sd) {
isFortran = false;
}
if (dim == 0) {
break;
}
sd *= dim;
}
return cContiguous || isFortran;
}
/**
* Infer order from
* @param shape the shape to infer by
* @param stride the stride to infer by
* @param elementStride the element stride to start at
* @return the storage order given shape and element stride
*/
public static char getOrder(int[] shape, int[] stride, int elementStride) {
int sd;
int dim;
int i;
boolean cContiguous = true;
boolean isFortran = true;
sd = 1;
for (i = shape.length - 1; i >= 0; --i) {
dim = shape[i];
if (stride[i] != sd) {
cContiguous = false;
break;
}
/* contiguous, if it got this far */
if (dim == 0) {
break;
}
sd *= dim;
}
/* check if fortran contiguous */
sd = elementStride;
for (i = 0; i < shape.length; ++i) {
dim = shape[i];
if (stride[i] != sd) {
isFortran = false;
}
if (dim == 0) {
break;
}
sd *= dim;
}
if (isFortran && cContiguous)
return 'a';
else if (isFortran && !cContiguous)
return 'f';
else if (!isFortran && !cContiguous)
return 'c';
else
return 'c';
}
/**
* Infer the order for the ndarray based on the
* array's strides
* @param arr the array to get the
* ordering for
* @return the ordering for the given array
*/
public static char getOrder(INDArray arr) {
return getOrder(arr.shape(), arr.stride(), arr.elementStride());
}
/**
* Convert the given index (such as 1,1)
* to a linear index
* @param shape the shape of the indexes to convert
* @param indices the index to convert
* @return the linear index given the shape
* and indices
*/
public static long sub2Ind(int[] shape, int[] indices) {
long index = 0;
int shift = 1;
for (int i = 0; i < shape.length; i++) {
index += shift * indices[i];
shift *= shape[i];
}
return index;
}
/**
* Convert a linear index to
* the equivalent nd index
* @param shape the shape of the dimensions
* @param index the index to map
* @param numIndices the number of total indices (typically prod of shape(
* @return the mapped indexes along each dimension
*/
public static int[] ind2sub(int[] shape, long index, long numIndices) {
long denom = numIndices;
int[] ret = new int[shape.length];
for (int i = ret.length - 1; i >= 0; i--) {
denom /= shape[i];
if (index / denom >= Integer.MAX_VALUE)
throw new IllegalArgumentException("Dimension can not be >= Integer.MAX_VALUE");
ret[i] = (int) (index / denom);
index %= denom;
}
return ret;
}
/**
* Convert a linear index to
* the equivalent nd index.
* Infers the number of indices from the specified shape.
*
* @param shape the shape of the dimensions
* @param index the index to map
* @return the mapped indexes along each dimension
*/
public static int[] ind2sub(int[] shape, long index) {
return ind2sub(shape, index, ArrayUtil.prodLong(shape));
}
/**
* Convert a linear index to
* the equivalent nd index based on the shape of the specified ndarray.
* Infers the number of indices from the specified shape.
*
* @param arr the array to compute the indexes
* based on
* @param index the index to map
* @return the mapped indexes along each dimension
*/
public static int[] ind2sub(INDArray arr, long index) {
if (arr.rank() == 1)
return new int[]{(int) index};
return ind2sub(arr.shape(), index, ArrayUtil.prodLong(arr.shape()));
}
/**
* Convert a linear index to
* the equivalent nd index
* @param shape the shape of the dimensions
* @param index the index to map
* @param numIndices the number of total indices (typically prod of shape(
* @return the mapped indexes along each dimension
*/
public static int[] ind2subC(int[] shape, long index, long numIndices) {
long denom = numIndices;
int[] ret = new int[shape.length];
for (int i = 0; i < shape.length; i++) {
denom /= shape[i];
if (index / denom >= Integer.MAX_VALUE)
throw new IllegalArgumentException("Dimension can not be >= Integer.MAX_VALUE");
ret[i] = (int) (index / denom);
index %= denom;
}
return ret;
}
/**
* Convert a linear index to
* the equivalent nd index.
* Infers the number of indices from the specified shape.
*
* @param shape the shape of the dimensions
* @param index the index to map
* @return the mapped indexes along each dimension
*/
public static int[] ind2subC(int[] shape, long index) {
return ind2subC(shape, index, ArrayUtil.prodLong(shape));
}
/**
* Convert a linear index to
* the equivalent nd index based on the shape of the specified ndarray.
* Infers the number of indices from the specified shape.
*
* @param arr the array to compute the indexes
* based on
* @param index the index to map
* @return the mapped indexes along each dimension
*/
public static int[] ind2subC(INDArray arr, long index) {
if (arr.rank() == 1)
return new int[]{(int) index};
return ind2subC(arr.shape(), index, ArrayUtil.prodLong(arr.shape()));
}
/**
* Compute the offset for the given array
* given the indices
* @param arr the array to compute the offset for
* @param indexes the indexes along each dimension to create the offset for
* @return the offset for the given array and indexes
*/
public static long offsetFor(INDArray arr, int[] indexes) {
ShapeOffsetResolution resolution = new ShapeOffsetResolution(arr);
resolution.exec(Shape.toIndexes(indexes));
return resolution.getOffset();
}
/**
* Assert the both shapes are the same length
* and shape[i] < lessThan[i]
* @param shape the shape to check
* @param lessThan the shape to assert against
*/
public static void assertShapeLessThan(int[] shape, int[] lessThan) {
if (shape.length != lessThan.length) {
throw new IllegalArgumentException("Shape length must be == less than length");
}
for (int i = 0; i < shape.length; i++) {
if (shape[i] >= lessThan[i])
throw new IllegalStateException("Shape[" + i + "] should be less than lessThan[" + i + "]");
}
}
/**
* Convert the given int indexes
* to nd array indexes
* @param indices the indices to convert
* @return the converted indexes
*/
public static INDArrayIndex[] toIndexes(int[] indices) {
INDArrayIndex[] ret = new INDArrayIndex[indices.length];
for (int i = 0; i < ret.length; i++)
ret[i] = new NDArrayIndex(indices[i]);
return ret;
}
public static int[] newStrides(int[] strides, int newLength, INDArrayIndex[] indexes) {
if (strides.length > newLength) {
int[] newStrides = new int[strides.length - 1];
for (int i = 0; i < newStrides.length; i++) {
newStrides[i] = strides[i + 1];
}
strides = newStrides;
}
return strides;
}
/** Check if strides are in order suitable for non-strided mmul etc.
* Returns true if c order and strides are descending [100,10,1] etc
* Returns true if f order and strides are ascending [1,10,100] etc
* False otherwise.
* @return true if c+descending, f+ascending, false otherwise
*/
public static boolean strideDescendingCAscendingF(INDArray array) {
int[] strides = array.stride();
if (array.isVector() && strides[0] == 1 && strides[1] == 1)
return true;
char order = array.ordering();
if (order == 'c') { //Expect descending. [100,10,1] etc
for (int i = 1; i < strides.length; i++)
if (strides[i - 1] <= strides[i])
return false;
return true;
} else if (order == 'f') {//Expect ascending. [1,10,100] etc
for (int i = 1; i < strides.length; i++)
if (strides[i - 1] >= strides[i])
return false;
return true;
} else if (order == 'a') {
return true;
} else {
throw new RuntimeException("Invalid order: not c or f (is: " + order + ")");
}
}
/**
* Gets the rank given the shape info buffer
* @param buffer the buffer to get the rank for
* @return the rank for the shape buffer
*/
public static int length(IntBuffer buffer) {
int ret = 1;
IntBuffer shape = Shape.shapeOf(buffer);
int rank = Shape.rank(buffer);
for (int i = 0; i < rank; i++)
ret *= shape.get(i);
return ret;
}
/**
* Gets the rank given the shape info buffer
* @param buffer the buffer to get the rank for
* @return the rank for the shape buffer
*/
public static int length(DataBuffer buffer) {
int ret = 1;
DataBuffer shape = Shape.shapeOf(buffer);
int rank = Shape.rank(buffer);
for (int i = 0; i < rank; i++)
ret *= shape.getInt(i);
return ret;
}
public static long length(int[] buffer) {
long ret = 1;
int limit = Shape.rank(buffer) + 1;
for (int i = 1; i < limit; i++)
ret *= buffer[i];
return ret;
}
/**
* Gets the rank given the shape info buffer
* @param buffer the buffer to get the rank for
* @return the rank for the shape buffer
*/
public static int rank(DataBuffer buffer) {
return buffer.getInt(0);
}
/**
* Gets the rank given the shape info buffer
* @param buffer the buffer to get the rank for
* @return the rank for the shape buffer
*/
public static int rank(IntBuffer buffer) {
Buffer buffer2 = (Buffer) buffer;
IntBuffer ret = (IntBuffer) buffer2.position(0);
return ret.get(0);
}
public static int rank(int[] buffer) {
return buffer[0];
}
/**
* Get the size of the specified dimension. Equivalent to shape()[dimension]
* @param buffer The buffer to get the
* @param dimension The dimension to get.
* @return The size of the specified dimension
*/
public static int size(IntBuffer buffer, int dimension) {
int rank = rank(buffer);
if (dimension >= rank)
throw new IllegalArgumentException("Invalid dimension " + dimension + " for rank " + rank + " array");
return buffer.get(1 + dimension);
}
/**
* Get the size of the specified dimension. Equivalent to shape()[dimension]
* @param buffer The buffer to get the shape from
* @param dimension The dimension to get.
* @return The size of the specified dimension
*/
public static int size(DataBuffer buffer, int dimension) {
int rank = rank(buffer);
if (dimension >= rank)
throw new IllegalArgumentException("Invalid dimension " + dimension + " for rank " + rank + " array");
return buffer.getInt(1 + dimension);
}
public static int size(int[] buffer, int dimension) {
int rank = rank(buffer);
if (dimension >= rank)
throw new IllegalArgumentException("Invalid dimension " + dimension + " for rank " + rank + " array");
return buffer[1 + dimension];
}
/**
* Get the size of the specified dimension. Identical to Shape.size(...), but does not perform any input validation
* @param buffer The buffer to get the shape from
* @param dimension The dimension to get.
* @return The size of the specified dimension
*/
public static int sizeUnsafe(DataBuffer buffer, int dimension) {
return buffer.getInt(1 + dimension);
}
public static int sizeUnsafe(int[] buffer, int dimension) {
return buffer[1 + dimension];
}
/**
* Get array shape from the buffer, as an int[]
* @param buffer Buffer to get the shape from
* @return Shape array
*/
public static int[] shape(IntBuffer buffer) {
int[] ret = new int[rank(buffer)];
for (int i = 0; i < ret.length; i++)
ret[i] = buffer.get(1 + i);
return ret;
}
/**
* Get array shape from the buffer, as an int[]
* @param buffer Buffer to get the shape from
* @return Shape array
*/
public static int[] shape(DataBuffer buffer) {
int[] ret = new int[rank(buffer)];
for (int i = 0; i < ret.length; i++)
ret[i] = buffer.getInt(1 + i);
return ret;
}
/**
* Get array shape from an int[]
* @param buffer Buffer to get the shape from
* @return Shape array
*/
public static int[] shape(int[] buffer) {
int[] ret = new int[rank(buffer)];
for (int i = 0; i < ret.length; i++)
ret[i] = buffer[1 + i];
return ret;
}
/**
* Get the stride of the specified dimension
* @param buffer The buffer to get the stride from
* @param dimension The dimension to get.
* @return The stride of the specified dimension
*/
public static int stride(IntBuffer buffer, int dimension) {
int rank = rank(buffer);
if (dimension >= rank)
throw new IllegalArgumentException("Invalid dimension " + dimension + " for rank " + rank + " array");
return buffer.get(1 + rank + dimension);
}
/**
* Get the stride of the specified dimension
* @param buffer The buffer to get the stride from
* @param dimension The dimension to get.
* @return The stride of the specified dimension
*/
public static int stride(DataBuffer buffer, int dimension) {
int rank = rank(buffer);
if (dimension >= rank)
throw new IllegalArgumentException("Invalid dimension " + dimension + " for rank " + rank + " array");
return buffer.getInt(1 + rank + dimension);
}
public static int stride(int[] buffer, int dimension) {
int rank = rank(buffer);
if (dimension >= rank)
throw new IllegalArgumentException("Invalid dimension " + dimension + " for rank " + rank + " array");
return buffer[1 + rank + dimension];
}
/**
* Get array shape from the buffer, as an int[]
* @param buffer Buffer to get the shape from
* @return Shape array
*/
public static int[] strideArr(DataBuffer buffer) {
int[] ret = new int[rank(buffer)];
DataBuffer stride = Shape.stride(buffer);
for (int i = 0; i < ret.length; i++)
ret[i] = stride.getInt(i);
return ret;
}
/**
* Get the stride of the specified dimension, without any input validation
* @param buffer The buffer to get the stride from
* @param dimension The dimension to get.
* @param rank Rank of the array
* @return The stride of the specified dimension
*/
public static int strideUnsafe(DataBuffer buffer, int dimension, int rank) {
return buffer.getInt(1 + rank + dimension);
}
public static int strideUnsafe(int[] buffer, int dimension, int rank) {
return buffer[1 + rank + dimension];
}
/**
* Return the shape info length
* given the rank
* @param rank the rank to get the length for
* @return rank * 2 + 4
*/
public static int shapeInfoLength(int rank) {
return rank * 2 + 4;
}
/**
* Get the stride for the given
* shape information buffer
* @param buffer
* @return
*/
public static IntBuffer stride(IntBuffer buffer) {
int rank = rank(buffer);
Buffer buffer2 = (Buffer) buffer;
IntBuffer ret = (IntBuffer) buffer2.position(1 + rank);
return ret.slice();
}
/**
* Get the shape from
* the given int buffer
* @param buffer the buffer to get the shape information for
* @return
*/
public static DataBuffer stride(DataBuffer buffer) {
int rank = rank(buffer);
return Nd4j.createBuffer(buffer, 1 + rank, rank);
}
public static int[] stride(int[] buffer) {
int rank = rank(buffer);
int[] ret = new int[rank];
for (int i = 0; i < rank; i++)
ret[i] = buffer[1 + rank + i];
return ret;
}
/**
* Get the shape from
* the given int buffer
* @param buffer the buffer to get the shape information for
* @return
*/
public static DataBuffer shapeOf(DataBuffer buffer) {
int rank = buffer.getInt(0);
return Nd4j.createBuffer(buffer, 1, rank);
}
/**
* Get the shape from
* the given int buffer
* @param buffer the buffer to get the shape information for
* @return
*/
public static IntBuffer shapeOf(IntBuffer buffer) {
Buffer buffer2 = (Buffer) buffer;
IntBuffer ret = (IntBuffer) buffer2.position(1);
return ret.slice();
}
public static int[] shapeOf(int[] buffer) {
val rank = buffer[0];
return Arrays.copyOfRange(buffer, 1, 1 + rank);
}
public static int[] stridesOf(int[] buffer) {
val rank = buffer[0];
return Arrays.copyOfRange(buffer, 1+rank, 1 + (rank * 2));
}
public static int[] flags(DataBuffer buffer) {
int length = buffer.getInt(0);
int[] ret = new int[length];
for (int i = 0; i < ret.length; i++)
ret[i] = buffer.getInt(1 + i);
return ret;
}
public static int[] sparseOffsets(DataBuffer buffer) {
int flagsLength = buffer.getInt(0);
int offLength = buffer.getInt(flagsLength + 1);
int[] ret = new int[offLength];
for (int i = 0; i < offLength; i++) {
ret[i] = buffer.getInt(i + flagsLength + 2);
}
return ret;
}
public static int[] hiddenDimension(DataBuffer buffer) {
int flagsLength = buffer.getInt(0);
int offLength = buffer.getInt(flagsLength + 1);
int hiddenDimLength = buffer.getInt(flagsLength + offLength + 2);
int[] ret = new int[hiddenDimLength];
for (int i = 0; i < hiddenDimLength; i++) {
ret[i] = buffer.getInt(i + flagsLength + offLength + 3);
}
return ret;
}
public static int underlyingRank(DataBuffer buffer) {
int flagsLength = buffer.getInt(0);
int offLength = buffer.getInt(flagsLength + 1);
int hiddenDimLength = buffer.getInt(flagsLength + offLength + 2);
return buffer.getInt(flagsLength + offLength + hiddenDimLength + 3);
}
/**
* Prints the shape
* for this shape information
* @param arr the shape information to print
* @return the shape information to string
*/
public static String shapeToString(INDArray arr) {
return shapeToString(arr.shapeInfo());
}
/**
* Prints the shape
* for this shape information
* @param buffer the shape information to print
* @return the shape information to string
*/
public static String shapeToString(IntBuffer buffer) {
IntBuffer shapeBuff = shapeOf(buffer);
int rank = Shape.rank(buffer);
IntBuffer strideBuff = stride(buffer);
StringBuilder sb = new StringBuilder();
sb.append("Rank: " + rank + ",");
sb.append("Offset: " + Shape.offset(buffer) + "\n");
sb.append(" Order: " + Shape.order(buffer));
sb.append(" Shape: [");
for (int i = 0; i < rank; i++) {
sb.append(shapeBuff.get(i));
if (i < rank - 1)
sb.append(",");
}
sb.append("], ");
sb.append(" stride: [");
for (int i = 0; i < rank; i++) {
sb.append(strideBuff.get(i));
if (i < rank - 1)
sb.append(",");
}
sb.append("]");
return sb.toString();
}
/**
* Get the offset for the buffer
*
* PLEASE NOTE: Legacy method. Will return 0 ALWAYS
* @param buffer the shape info buffer to get the offset for
* @return
*/
@Deprecated
public static int offset(DataBuffer buffer) {
int length = shapeInfoLength(rank(buffer));
int ret = buffer.getInt(length - 3);
return ret;
}
/**
* Get the offset for the buffer
*
* PLEASE NOTE: Legacy method. Will return 0 ALWAYS
* @param buffer
* @return
*/
@Deprecated
public static int offset(int[] buffer) {
int length = shapeInfoLength(rank(buffer));
int ret = buffer[length - 3];
return ret;
}
/**
* Get the offset for the buffer
* @param buffer the shape info buffer to get the offset for
* @return
*/
public static int offset(IntBuffer buffer) {
int length = shapeInfoLength(rank(buffer));
int ret = buffer.get(length - 3);
return ret;
}
/**
* Get the element wise stride for the
* shape info buffer
* @param buffer the buffer to get the element
* wise stride from
* @return the element wise stride for the buffer
*/
public static int elementWiseStride(DataBuffer buffer) {
int length2 = shapeInfoLength(buffer.getInt(0));
return buffer.getInt(length2 - 2);
}
/**
* Get the element wise stride for the
* shape info buffer
* @param buffer the buffer to get the element
* wise stride from
* @return the element wise stride for the buffer
*/
public static int elementWiseStride(IntBuffer buffer) {
int length2 = shapeInfoLength(buffer.get(0));
return buffer.get(length2 - 2);
}
/**
* Get the element wise stride for the
* shape info buffer
* @param buffer the buffer to get the element
* wise stride from
* @return the element wise stride for the buffer
*/
public static void setElementWiseStride(IntBuffer buffer, int elementWiseStride) {
int length2 = shapeInfoLength(buffer.get(0));
// if (1 > 0) throw new RuntimeException("setElementWiseStride called: [" + elementWiseStride + "], buffer: " + bufferToString(buffer));
buffer.put(length2 - 2, elementWiseStride);
}
/**
* Get the element wise stride for the
* shape info buffer
* @param buffer the buffer to get the element
* wise stride from
* @return the element wise stride for the buffer
*/
public static void setElementWiseStride(DataBuffer buffer, int elementWiseStride) {
int length2 = shapeInfoLength(Shape.rank(buffer));
//if (1 > 0) throw new RuntimeException("setElementWiseStride called: [" + elementWiseStride + "], buffer: " + buffer);
buffer.put(length2 - 2, elementWiseStride);
}
/**
* Prints the {@link IntBuffer}
* @param buffer the buffer to print
* @return the to string for the buffer
*
*/
public static String bufferToString(IntBuffer buffer) {
StringBuilder builder = new StringBuilder();
int rank = buffer.get(0);
builder.append("[ ").append(rank).append(", ");
for (int p = 1; p < rank * 2 + 4; p++) {
builder.append(buffer.get(p));
if (p < rank * 2 + 4 - 1)
builder.append(", ");
}
builder.append("]");
return builder.toString();
}
/**
* Returns the order given the shape information
* @param buffer the buffer
* @return
*/
public static char order(IntBuffer buffer) {
int length = Shape.shapeInfoLength(Shape.rank(buffer));
return (char) buffer.get(length - 1);
}
/**
* Returns the order given the shape information
* @param buffer the buffer
* @return
*/
public static char order(DataBuffer buffer) {
int length = Shape.shapeInfoLength(Shape.rank(buffer));
return (char) buffer.getInt(length - 1);
}
public static char order(int[] buffer) {
int length = Shape.shapeInfoLength(Shape.rank(buffer));
return (char) buffer[length - 1];
}
/**
* Returns the order given the shape information
* @param buffer the buffer
* @return
*/
@Deprecated
public static void setOrder(IntBuffer buffer, char order) {
int length = Shape.shapeInfoLength(Shape.rank(buffer));
buffer.put(length - 1, (int) order);
throw new RuntimeException("setOrder called");
}
/**
* Creates the shape information buffer
* given the shape,stride
* @param shape the shape for the buffer
* @param stride the stride for the buffer
* @param offset the offset for the buffer
* @param elementWiseStride the element wise stride for the buffer
* @param order the order for the buffer
* @return the shape information buffer given the parameters
*/
public static DataBuffer createShapeInformation(int[] shape, int[] stride, long offset, int elementWiseStride,
char order) {
if (shape.length != stride.length)
throw new IllegalStateException("Shape and stride must be the same length");
int rank = shape.length;
int shapeBuffer[] = new int[rank * 2 + 4];
shapeBuffer[0] = rank;
int count = 1;
for (int e = 0; e < shape.length; e++)
shapeBuffer[count++] = shape[e];
for (int e = 0; e < stride.length; e++)
shapeBuffer[count++] = stride[e];
shapeBuffer[count++] = (int) offset;
shapeBuffer[count++] = elementWiseStride;
shapeBuffer[count] = (int) order;
DataBuffer ret = Nd4j.createBufferDetached(shapeBuffer);
ret.setConstant(true);
/*
DataBuffer ret = Nd4j.createBuffer(new int[shapeInfoLength(shape.length)]);
ret.setConstant(true);
int count = 1;
ret.put(0,shape.length);
if(shape.length != stride.length)
throw new IllegalStateException("Shape and stride must be the same length");
for (int i = 0; i < shape.length; i++) {
ret.put(count++,shape[i]);
}
for (int i = 0; i < shape.length; i++) {
ret.put(count++,stride[i]);
}
ret.put(count++,offset);
ret.put(count++,elementWiseStride);
ret.put(count++,order);
*/
return ret;
}
public static DataBuffer createSparseInformation(int[] flags, long[] sparseOffsets, int[] hiddenDimensions,
int underlyingRank) {
int flagLength = flags.length;
int offsetsLength = sparseOffsets.length;
int hiddenDimLength = hiddenDimensions.length;
int totalLength = flagLength + offsetsLength + hiddenDimLength + 4;
ArrayList accu = new ArrayList<>(totalLength);
accu.add(flagLength);
for (int flag : flags) {
accu.add(flag);
}
accu.add(offsetsLength);
for (long off : sparseOffsets) {
accu.add((int) off);
}
accu.add(hiddenDimLength);
for (int dim : hiddenDimensions) {
accu.add(dim);
}
accu.add(underlyingRank);
return Nd4j.createBuffer(Ints.toArray(accu));
}
/**
* Convert an array to a byte buffer
* @param arr the array
* @return a direct byte buffer with the array contents
*/
public static IntBuffer toBuffer(int... arr) {
ByteBuffer directBuffer = ByteBuffer.allocateDirect(arr.length * 4).order(ByteOrder.nativeOrder());
IntBuffer buffer = directBuffer.asIntBuffer();
for (int i = 0; i < arr.length; i++)
buffer.put(i, arr[i]);
return buffer;
}
/**
* To String for an int buffer
* @param buffer
* @return
*/
public static String toString(IntBuffer buffer) {
StringBuilder sb = new StringBuilder();
for (int i = 0; i < buffer.capacity(); i++) {
sb.append(buffer.get(i));
if (i < buffer.capacity() - 1)
sb.append(",");
}
return sb.toString();
}
/**
* To String for an int buffer
* @param buffer
* @return
*/
public static String toString(DataBuffer buffer) {
return buffer.toString();
}
/**
* Returns true if the given array
* is meant for the whole dimension
* @param arr the array to test
* @return true if arr.length == 1 && arr[0] is Integer.MAX_VALUE
*/
public static boolean wholeArrayDimension(int... arr) {
return arr.length == 1 && arr[0] == Integer.MAX_VALUE;
}
public static int[] uniquify(int[] array) {
if (array.length <= 1)
return array;
Set ints = new LinkedHashSet<>();
for (val v: array)
ints.add(v);
return Ints.toArray(ints);
}
public static int[] normalizeAxis(int rank, int... axis) {
if (axis == null || axis.length == 0)
return new int[] {Integer.MAX_VALUE};
// first we should get rid of all negative axis
int[] tmp = new int[axis.length];
int cnt = 0;
for (val v: axis) {
val t = v < 0 ? v + rank : v;
if ((t >= rank && t != Integer.MAX_VALUE)|| t < 0)
throw new ND4JIllegalStateException("Axis array " + Arrays.toString(axis) + " contains values above rank " + rank);
tmp[cnt++] = t;
}
// now we're sorting array
Arrays.sort(tmp);
// and getting rid of possible duplicates
return uniquify(tmp);
}
/**
*
* Compare the contents of a buffer and
* an array for equals
* @param arr the array
* @param other the buffer
* @return true if the content equals false otherwise
*/
public static boolean contentEquals(int[] arr, DataBuffer other) {
for (int i = 0; i < arr.length; i++) {
if (other.getInt(i) != arr[i]) {
return false;
}
}
return true;
}
/**
*
* Compare the contents of a buffer and
* an array for equals
* @param arr the array
* @param other the buffer
* @return true if the content equals false otherwise
*/
public static boolean contentEquals(int[] arr, IntBuffer other) {
for (int i = 0; i < arr.length; i++) {
Buffer buffer2 = (Buffer) other;
buffer2.position(i);
if (arr[i] != other.get()) {
return false;
}
}
return true;
}
/** Are the elements in the buffer contiguous for this NDArray? */
public static boolean isContiguousInBuffer(INDArray in) {
int length = in.length();
long dLength = in.data().length();
if (length == dLength)
return true; //full buffer, always contiguous
char order = in.ordering();
int[] shape = in.shape();
int[] stridesIfContiguous;
if (order == 'f') {
stridesIfContiguous = ArrayUtil.calcStridesFortran(shape);
} else if (order == 'c') {
stridesIfContiguous = ArrayUtil.calcStrides(shape);
} else if (order == 'a') {
stridesIfContiguous = new int[] {1, 1};
} else {
throw new RuntimeException("Invalid order: not c or f (is: " + order + ")");
}
return Arrays.equals(in.stride(), stridesIfContiguous);
}
/**
* This method is used in DL4J LSTM implementation
* @param input
* @return
*/
public static INDArray toMmulCompatible(INDArray input) {
if (input.rank() != 2)
throw new IllegalArgumentException("Input must be rank 2 (matrix)");
//Same conditions as GemmParams.copyIfNecessary()
boolean doCopy = false;
if (input.ordering() == 'c' && (input.stride(0) != input.size(1) || input.stride(1) != 1))
doCopy = true;
else if (input.ordering() == 'f' && (input.stride(0) != 1 || input.stride(1) != input.size(0)))
doCopy = true;
if (doCopy)
return Shape.toOffsetZeroCopyAnyOrder(input);
else
return input;
}
/**
* Return the rank for the given shape
*
* @param shape Shape to get the rank for
* @return Rank, of the array given the shape
* @throws ND4JIllegalStateException If shape array is null
*/
public static int rankFromShape(int[] shape){
if(shape == null){
throw new ND4JIllegalStateException("Cannot get rank from null shape array");
}
return shape.length;
}
public static void assertBroadcastable(@NonNull INDArray x, @NonNull INDArray y){
assertBroadcastable(x.shape(), y.shape());
}
public static void assertBroadcastable(@NonNull int[] x, @NonNull int[] y){
if(!areShapesBroadcastable(x, y)){
throw new ND4JIllegalStateException("Arrays are different shape and are not broadcastable." +
" Array 1 shape = " + Arrays.toString(x) + ", array 2 shape = " + Arrays.toString(y));
}
}
public static boolean areShapesBroadcastable(@NonNull int[] x, @NonNull int[] y){
//Ported from: https://github.com/deeplearning4j/libnd4j/blob/master/include/helpers/impl/ShapeUtils.cpp
int minRank = Math.min(x.length, y.length);
for( int i=-1; i>= -minRank; i--){
if(x[x.length + i] != y[y.length + i] && x[x.length + i] != 1 && y[y.length + i] != 1){
return false;
}
}
return true;
}
public static boolean hasDefaultStridesForShape(INDArray input){
if(!strideDescendingCAscendingF(input)){
return false;
}
char order = input.ordering();
int[] defaultStrides;
if(order == 'f'){
defaultStrides = ArrayUtil.calcStridesFortran(input.shape());
} else {
defaultStrides = ArrayUtil.calcStrides(input.shape());
}
return Arrays.equals(input.stride(), defaultStrides);
}
}
