public static NdArray Concatenate(NdArray a, NdArray b, int axis)
{
int[] shapeList = a.Shape.ToArray();
shapeList[axis] += b.Shape[axis];
#if DEBUG
for (int i = 0; i < a.Shape.Length; i++)
{
if (i != axis && a.Shape[i] != b.Shape[i])
{
throw new Exception("配列の大きさがマッチしていません");
}
}
if (a.BatchCount != b.BatchCount)
{
throw new Exception("バッチの大きさがマッチしていません");
}
#endif
NdArray result = new NdArray(shapeList, a.BatchCount);
for (int batchCount = 0; batchCount < a.BatchCount; batchCount++)
{
int aInputBatchoffset = batchCount * a.Length;
int bInputBatchoffset = batchCount * b.Length;
for (int i = 0; i < a.Length; i++)
{
int resultindex = result.GetLocalIndex(batchCount, a.GetDimensionsIndex(i));
result.Data[resultindex] = a.Data[i + aInputBatchoffset];
result.Grad[resultindex] = a.Grad[i + aInputBatchoffset];
}
for (int i = 0; i < b.Length; i++)
{
int[] tmpIndex = b.GetDimensionsIndex(i);
tmpIndex[axis] += a.Shape[axis];
int resultIndex = result.GetLocalIndex(batchCount, tmpIndex);
result.Data[resultIndex] = b.Data[i + bInputBatchoffset];
result.Grad[resultIndex] = b.Grad[i + bInputBatchoffset];
}
}
return(result);
}
private static NdArray <Real> LocalSum(NdArray <Real> input, int axis)
{
int[] resultShape = new int[input.Shape.Length - 1];
for (int i = 0, j = 0; i < input.Shape.Length; i++)
{
if (i != axis)
{
resultShape[j++] = input.Shape[i];
}
}
NdArray <Real> result = new NdArray <Real>(resultShape, input.BatchCount);
for (int i = 0; i < input.Length; i++)
{
List <int> index = new List <int>(input.GetDimensionsIndex(i));
index.RemoveAt(axis);
int localIndex = result.GetLocalIndex(0, index.ToArray());
for (int batchCount = 0; batchCount < input.BatchCount; batchCount++)
{
result.Data[batchCount * result.Length + localIndex] += input.Data[batchCount * input.Length + i];
if (input.Grad != null)
{
result.Grad[batchCount * result.Length + localIndex] += input.Grad[batchCount * input.Length + i];
}
}
}
return(result);
}
private static NdArray Sum(NdArray a, int axis)
{
int[] resultShape = new int[a.Shape.Length - 1];
for (int i = 0, j = 0; i < a.Shape.Length; i++)
{
if (i != axis)
{
resultShape[j++] = a.Shape[i];
}
}
NdArray result = new NdArray(resultShape, a.BatchCount);
for (int i = 0; i < a.Length; i++)
{
List <int> index = new List <int>(a.GetDimensionsIndex(i));
index.RemoveAt(axis);
int localIndex = result.GetLocalIndex(0, index.ToArray());
for (int batchCount = 0; batchCount < a.BatchCount; batchCount++)
{
result.Data[batchCount * result.Length + localIndex] += a.Data[batchCount * a.Length + i];
result.Grad[batchCount * result.Length + localIndex] += a.Grad[batchCount * a.Length + i];
}
}
return(result);
}
public static NdArray Transpose(NdArray input, params int[] dimensions)
{
#if DEBUG
if (input.Shape.Length != dimensions.Length)
{
throw new Exception("次元数がマッチしていません");
}
for (int i = 0; i < dimensions.Length; i++)
{
//自身の中にダブりがないか
for (int j = i + 1; j < dimensions.Length; j++)
{
if (dimensions[i] == dimensions[j])
{
throw new Exception("指定された要素がダブっています");
}
}
//範囲チェック
if (dimensions[i] >= input.Shape.Length || dimensions[i] < 0)
{
throw new Exception("指定された要素が範囲を超えています");
}
}
#endif
int[] transposedDimensions = new int[input.Shape.Length];
for (int j = 0; j < input.Shape.Length; j++)
{
transposedDimensions[j] = input.Shape[dimensions[j]];
}
NdArray resultMatrix = new NdArray(transposedDimensions);
for (int b = 0; b < input.BatchCount; b++)
{
for (int i = 0; i < input.Length; i++)
{
int[] indecies = input.GetDimensionsIndex(i);
int[] transposedIndex = new int[input.Shape.Length];
for (int j = 0; j < input.Shape.Length; j++)
{
transposedIndex[j] = indecies[dimensions[j]];
}
resultMatrix.Data[resultMatrix.GetLocalIndex(b, transposedIndex)] = input.Data[input.GetLocalIndex(b, indecies)];
}
}
return(resultMatrix);
}
public static NdArray[] Split(NdArray array, int[] indices, int axis)
{
int[] shapeOffets = new int[indices.Length + 1]; //入力されたindicesの先頭0を追加した配列
int[] resultAxisShapes = new int[indices.Length + 1]; //分割後の指定軸のShape
for (int i = 0; i < indices.Length; i++)
{
shapeOffets[i + 1] = indices[i];
resultAxisShapes[i] = indices[i] - shapeOffets[i];
}
resultAxisShapes[indices.Length] = array.Shape[axis] - indices[indices.Length - 1];
NdArray[] resultArrays = new NdArray[indices.Length + 1];
for (int i = 0; i < resultArrays.Length; i++)
{
int[] resultShape = array.Shape.ToArray();
resultShape[axis] = resultAxisShapes[i];
resultArrays[i] = new NdArray(resultShape, array.BatchCount);
if (array.Grad != null)
{
resultArrays[i].InitGrad();
}
}
for (int batchCount = 0; batchCount < array.BatchCount; batchCount++)
{
for (int i = 0; i < resultArrays.Length; i++)
{
for (int j = 0; j < resultArrays[i].Length; j++)
{
int[] resultIndex = resultArrays[i].GetDimensionsIndex(j);
resultIndex[axis] += shapeOffets[i];
int localIndex = array.GetLocalIndex(batchCount, resultIndex);
resultArrays[i].Data[batchCount * resultArrays[i].Length + j] = array.Data[localIndex];
if (array.Grad != null)
{
resultArrays[i].Grad[batchCount * resultArrays[i].Length + j] = array.Grad[localIndex];
}
}
}
}
return(resultArrays);
}