A Python list of integers copied element-by-element into a typed float buffer. The trace shows v taking each integer value and buffer growing one float at a time — making the typed-copy idea concrete before NumPy hides it.

By hand

Walk each element of values with a for loop. Convert it to float and append to buffer. This mirrors what a typed array constructor does: it allocates a fixed-type storage and fills it value by value.

naive.py
Replay: real traced execution (multi-file project)
values = [1, 2, 3, 4, 5, 6]
buffer = []
for v in values:
    buffer.append(float(v))
print('RESULT:', buffer)
  1. values ← [1, 2, 3, 4, 5, 6]

    1values = [1, 2, 3, 4, 5, 6]2buffer = []
    values this step[1, 2, 3, 4, 5, 6]values
  2. buffer ← []

    1values = [1, 2, 3, 4, 5, 6]2buffer = []3for v in values:
    values this step[]buffer
  3. v ← 1

    2buffer = []3for v in values:4    buffer.append(float(v))
    values this step1v
  4. buffer ← [1.0]

    3for v in values:4    buffer.append(float(v))5print('RESULT:', buffer)
    values this step[] [1.0]buffer
  5. v ← 2

    2buffer = []3for v in values:4    buffer.append(float(v))
    values this step1 2v
  6. buffer ← [1.0, 2.0]

    3for v in values:4    buffer.append(float(v))5print('RESULT:', buffer)
    values this step[1.0] [1.0, 2.0]buffer
  7. v ← 3

    2buffer = []3for v in values:4    buffer.append(float(v))
    values this step2 3v
  8. buffer ← [1.0, 2.0, 3.0]

    3for v in values:4    buffer.append(float(v))5print('RESULT:', buffer)
    values this step[1.0, 2.0] [1.0, 2.0, 3.0]buffer
  9. v ← 4

    2buffer = []3for v in values:4    buffer.append(float(v))
    values this step3 4v
  10. buffer ← [1.0, 2.0, 3.0, 4.0]

    3for v in values:4    buffer.append(float(v))5print('RESULT:', buffer)
    values this step[1.0, 2.0, 3.0] [1.0, 2.0, 3.0, 4.0]buffer
  11. v ← 5

    2buffer = []3for v in values:4    buffer.append(float(v))
    values this step4 5v
  12. buffer ← [1.0, 2.0, 3.0, 4.0, 5.0]

    3for v in values:4    buffer.append(float(v))5print('RESULT:', buffer)
    values this step[1.0, 2.0, 3.0, 4.0] [1.0, 2.0, 3.0, 4.0, 5.0]buffer
  13. v ← 6

    2buffer = []3for v in values:4    buffer.append(float(v))
    values this step5 6v
  14. buffer ← [1.0, 2.0, 3.0, 4.0, 5.0, 6.0]

    3for v in values:4    buffer.append(float(v))5print('RESULT:', buffer)
    values this step[1.0, 2.0, 3.0, 4.0, 5.0] [1.0, 2.0, 3.0, 4.0, 5.0, 6.0]buffer
  15. for v in values:

    2buffer = []3for v in values:4    buffer.append(float(v))
  16. stdout ← RESULT: [1.0, 2.0, 3.0, 4.0, 5.0, 6.0]

    4    buffer.append(float(v))5print('RESULT:', buffer)
    values this stepRESULT: [1.0, 2.0, 3.0, 4.0, 5.0, 6.0]stdout

With NumPy

np.array(values, dtype=float) performs the same typed copy in C, returning a contiguous float64 buffer. The snapshot shows the array's shape, element type, and values as a Python list.

library.py
import numpy as np

values = [1, 2, 3, 4, 5, 6]
arr = np.array(values, dtype=float)
print('shape:', arr.shape)
print('dtype:', arr.dtype)
print('values:', arr.tolist())
print('RESULT:', arr.tolist())
shape: (6,)
dtype: float64
values: [1.0, 2.0, 3.0, 4.0, 5.0, 6.0]
RESULT: [1.0, 2.0, 3.0, 4.0, 5.0, 6.0]

Implementation notes

  • dtype=float is shorthand for np.float64. NumPy stores every element in the same fixed-width type, so arithmetic on the array needs no per-element type dispatch — that is the source of most of NumPy's speed advantage over Python lists.
  • Omitting dtype lets NumPy infer the type: an integer list infers int64, a mixed-type list often infers object. Being explicit with dtype=float avoids surprises in downstream arithmetic.
  • arr.shape is a tuple of dimension sizes. A 1-D array of 6 elements has shape (6,). Contrast with the 2-D case: np.array([[1,2],[3,4]]).shape gives (2, 2).
  • The element-by-element loop in the "By hand" half is the same pattern as map-transform in python-data-basics/ch02 — both apply a function to each element and collect results. The difference is that NumPy stores the result in a typed C buffer rather than a Python list.
  • Shape, dtype, and values are shown explicitly here (rather than printing the array directly) because ndarray.__repr__ output varies with NumPy version and print options such as np.set_printoptions.