codon/stdlib/internal/pynumerics.codon

# Copyright (C) 2022-2025 Exaloop Inc. <https://exaloop.io>

@pure
@llvm
def _floordiv_int_float(self: int, other: float) -> float:
    declare double @llvm.floor.f64(double)
    %0 = sitofp i64 %self to double
    %1 = fdiv double %0, %other
    %2 = call double @llvm.floor.f64(double %1)
    ret double %2

@pure
@llvm
def _floordiv_int_int(self: int, other: int) -> int:
    %0 = sdiv i64 %self, %other
    ret i64 %0

@pure
@llvm
def _truediv_int_float(self: int, other: float) -> float:
    %0 = sitofp i64 %self to double
    %1 = fdiv double %0, %other
    ret double %1

@pure
@llvm
def _truediv_int_int(self: int, other: int) -> float:
    %0 = sitofp i64 %self to double
    %1 = sitofp i64 %other to double
    %2 = fdiv double %0, %1
    ret double %2

@pure
@llvm
def _mod_int_float(self: int, other: float) -> float:
    %0 = sitofp i64 %self to double
    %1 = frem double %0, %other
    ret double %1

@pure
@llvm
def _mod_int_int(self: int, other: int) -> int:
    %0 = srem i64 %self, %other
    ret i64 %0

@pure
@llvm
def _truediv_float_float(self: float, other: float) -> float:
    %0 = fdiv double %self, %other
    ret double %0

@pure
@llvm
def _mod_float_float(self: float, other: float) -> float:
    %0 = frem double %self, %other
    ret double %0

def _divmod_int_int(self: int, other: int):
    d = _floordiv_int_int(self, other)
    m = self - d * other
    if m and ((other ^ m) < 0):
        m += other
        d -= 1
    return (d, m)

def _divmod_float_float(self: float, other: float):
    mod = _mod_float_float(self, other)
    div = _truediv_float_float(self - mod, other)
    if mod:
        if (other < 0) != (mod < 0):
            mod += other
            div -= 1.0
    else:
        mod = (0.0).copysign(other)

    floordiv = 0.0
    if div:
        floordiv = div.__floor__()
        if div - floordiv > 0.5:
            floordiv += 1.0
    else:
        floordiv = (0.0).copysign(self / other)

    return (floordiv, mod)

@extend
class int:
    def __floordiv__(self, other: float):
        if other == 0.0:
            raise ZeroDivisionError("float floor division by zero")
        return _divmod_float_float(float(self), other)[0]

    def __floordiv__(self, other: int):
        if other == 0:
            raise ZeroDivisionError("integer division or modulo by zero")
        return _divmod_int_int(self, other)[0]

    def __truediv__(self, other: float):
        if other == 0.0:
            raise ZeroDivisionError("float division by zero")
        return _truediv_int_float(self, other)

    def __truediv__(self, other: int):
        if other == 0:
            raise ZeroDivisionError("division by zero")
        return _truediv_int_int(self, other)

    def __mod__(self, other: float):
        if other == 0.0:
            raise ZeroDivisionError("float modulo")
        return _divmod_float_float(self, other)[1]

    def __mod__(self, other: int):
        if other == 0:
            raise ZeroDivisionError("integer division or modulo by zero")
        return _divmod_int_int(self, other)[1]

    def __divmod__(self, other: float):
        if other == 0.0:
            raise ZeroDivisionError("float divmod()")
        return _divmod_float_float(float(self), other)

    def __divmod__(self, other: int):
        if other == 0:
            raise ZeroDivisionError("integer division or modulo by zero")
        return _divmod_int_int(self, other)

@extend
class float:
    def __floordiv__(self, other: float):
        if other == 0.0:
            raise ZeroDivisionError("float floor division by zero")
        return _divmod_float_float(self, other)[0]

    def __floordiv__(self, other: int):
        if other == 0:
            raise ZeroDivisionError("float floor division by zero")
        return _divmod_float_float(self, float(other))[0]

    def __truediv__(self, other: float):
        if other == 0.0:
            raise ZeroDivisionError("float division by zero")
        return _truediv_float_float(self, other)

    def __truediv__(self, other: int):
        if other == 0:
            raise ZeroDivisionError("float division by zero")
        return _truediv_float_float(self, float(other))

    def __mod__(self, other: float):
        if other == 0.0:
            raise ZeroDivisionError("float modulo")
        return _divmod_float_float(self, other)[1]

    def __mod__(self, other: int):
        if other == 0:
            raise ZeroDivisionError("float modulo")
        return _divmod_float_float(self, float(other))[1]

    def __divmod__(self, other: float):
        if other == 0.0:
            raise ZeroDivisionError("float divmod()")
        return _divmod_float_float(self, other)

    def __divmod__(self, other: int):
        if other == 0:
            raise ZeroDivisionError("float divmod()")
        return _divmod_float_float(self, float(other))