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Segmentation fault when using multiply #127

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@Popeyef5

Description

@Popeyef5
  • OS: linux
  • Python Version (python --version): Python 3.8.13
  • Environment (output of pip freeze):
    argcomplete==1.12.3
    attrs==21.4.0
    cached-property==1.5.2
    certifi==2022.5.18.1
    cytoolz==0.11.2
    eth-hash==0.3.2
    eth-typing==3.0.0
    eth-utils==2.0.0
    hypothesis==6.46.11
    iniconfig==1.1.1
    mypy-extensions==0.4.3
    numpy==1.22.4
    packaging==21.3
    pandas==1.4.2
    pipx==0.16.4
    pluggy==1.0.0
    py==1.11.0
    py-ecc==6.0.0
    pyparsing==3.0.9
    pytest==7.1.2
    python-dateutil==2.8.2
    pytz==2022.1
    six==1.16.0
    sortedcontainers==2.4.0
    tomli==2.0.1
    toolz==0.11.2
    userpath==1.7.0

What is wrong?

'Segmentation fault (core dumped)' error when doing

multiply(G1, -1)

On bn128. Happened with the few other negative numbers I tried. Did not try with other curves, I assume the problem persists because -1 // 2 = -1 and the recursive nature of the multiply function.

How can it be fixed

This fixes it:

def multiply(pt: Point2D[Field], n: int) -> Point2D[Field]:
    m = abs(n)
    if m == 0:
        ret = None
    elif m == 1:
        ret = pt
    elif not m % 2:
        ret = multiply(double(pt), m // 2)
    else:
        ret = add(multiply(double(pt), int(m // 2)), pt)
    if n < 0:
        ret = neg(ret)
    return ret

alternatively this should work as well but might be less efficient:

def multiply(pt: Point2D[Field], n: int) -> Point2D[Field]:
    n = n % field_modulus
   # rest of the function still the same

Could write up a quick PR if this indeed works.

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