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torch.broadcast_shapes

function broadcast_shapes(...shapes: readonly number[][]): number[]

Computes the broadcast shape of multiple shapes.

Determines what shape multiple tensors would have after broadcasting together. This is useful for:

  • Validating shape compatibility: check if operations can work together
  • Pre-allocating output tensors: know the result shape before computation
  • Shape inference: understanding how broadcasting will affect dimensions
  • Debugging shape mismatches: see what shape dimensions will become
  • Batching operations: compute common shape for multiple tensors

The broadcasting rules apply from the trailing dimensions backward:

  • Dimensions of size 1 can expand to any size
  • All other dimensions must be equal
  • Missing dimensions (in shorter shapes) are prepended as 1s
  • Order independent: Result is same regardless of input order
  • Dimension alignment: Trailing dimensions align first (right-justified)
  • Prepending: Shorter shapes get prepended with 1s automatically
  • Empty input: Broadcasting zero shapes returns empty shape []
  • Incompatible shapes: Throws error if dimensions don't broadcast
  • Size mismatch: Non-1 dimensions must match exactly or error

Parameters

shapesreadonly number[][]
Variable number of shapes to broadcast together

Returns

number[]– The resulting broadcast shape after applying broadcasting rules

Examples

// Two compatible shapes
torch.broadcast_shapes([3, 1], [1, 4]);  // [3, 4]

// Three shapes with prepended dimensions
torch.broadcast_shapes([2, 3], [3], [1, 1, 3]);  // [1, 2, 3]

// Batch broadcasting
const shape1 = [32, 1, 64];     // Batch with 1 feature
const shape2 = [1, 128, 64];    // 1 batch with 128 features
torch.broadcast_shapes(shape1, shape2);  // [32, 128, 64]

// Image broadcasting
const img_shape = [3, 224, 224];      // Single image
const batch_shape = [32, 1, 1];       // Batch with unit spatial dims
torch.broadcast_shapes(img_shape, batch_shape);  // [32, 224, 224]

See Also

  • PyTorch torch.broadcast_shapes()
  • broadcast_to - Broadcast single tensor to shape
  • broadcast_tensors - Broadcast actual tensor objects
  • expand - Expand tensor along dimensions
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