Spellbook: How to create an universal function?

Functions that applies to a single element can work on a whole tensor similar to Numpy’s universal functions.

3 functions exist: makeUniversal, makeUniversalLocal and map.

makeUniversal create a a function that applies to each element of a tensor from any unary function. Most functions from the math module have been generalized to tensors with makeUniversal(sin). Furthermore those universal functions are exported and available for import.

makeUniversalLocal does not export the universal functions.

map is more generic and map any function to all element of a tensor. map works even if the function changes the type of the tensor’s elements.

echo foo.map(x => x.isPowerOfTwo) # map a function (`=>` comes from the future module )

# Tensor of shape 5x5 of type "bool" on backend "Cpu"
# |true   true    true    true    true|
# |true   true    true    true    true|
# |false  false   false   false   false|
# |true   true    true    true    true|
# |false  false   false   false   false|

let foo_float = foo.map(x => x.float)
echo ln foo_float # universal function (convert first to float for ln)

# Tensor of shape 5x5 of type "float" on backend "Cpu"
# |0.0    0.0     0.0     0.0     0.0|
# |0.6931471805599453     1.386294361119891       2.079441541679836       2.772588722239781       3.465735902799727|
# |1.09861228866811       2.19722457733622        3.295836866004329       4.394449154672439       5.493061443340548|
# |1.386294361119891      2.772588722239781       4.158883083359671       5.545177444479562       6.931471805599453|
# |1.6094379124341        3.218875824868201       4.828313737302302       6.437751649736401       8.047189562170502|