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Copy file name to clipboardExpand all lines: spec/API_specification/array_api/elementwise_functions.py
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@@ -80,7 +80,7 @@ def acos(x: array, /) -> array:
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Accordingly, for complex arguments, the function returns the inverse cosine in the range of a strip unbounded along the imaginary axis and in the interval :math:`[0, \pi]` along the real axis.
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*Note: branch cuts have provisional status* (see :ref:`branch-cuts`).
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*Note: branch cuts follow C99 and have provisional status* (see :ref:`branch-cuts`).
Accordingly, for complex arguments, the function returns the inverse hyperbolic cosine in the interval :math:`[0, \infty)` along the real axis and in the interval :math:`[-\pi j, +\pi j]` along the imaginary axis.
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*Note: branch cuts have provisional status* (see :ref:`branch-cuts`).
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*Note: branch cuts follow C99 and have provisional status* (see :ref:`branch-cuts`).
Accordingly, for complex arguments, the function returns the inverse sine in the range of a strip unbounded along the imaginary axis and in the interval :math:`[-\pi/2, +\pi/2]` along the real axis.
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*Note: branch cuts have provisional status* (see :ref:`branch-cuts`).
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*Note: branch cuts follow C99 and have provisional status* (see :ref:`branch-cuts`).
Accordingly, for complex arguments, the function returns the inverse hyperbolic sine in the range of a strip unbounded along the real axis and in the interval :math:`[-\pi j/2, +\pi j/2]` along the imaginary axis.
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*Note: branch cuts have provisional status* (see :ref:`branch-cuts`).
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*Note: branch cuts follow C99 and have provisional status* (see :ref:`branch-cuts`).
Accordingly, for complex arguments, the function returns the inverse tangent in the range of a strip unbounded along the imaginary axis and in the interval :math:`[-\pi/2, +\pi/2]` along the real axis.
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*Note: branch cuts have provisional status* (see :ref:`branch-cuts`).
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*Note: branch cuts follow C99 and have provisional status* (see :ref:`branch-cuts`).
Accordingly, for complex arguments, the function returns the inverse hyperbolic tangent in the range of a half-strip unbounded along the real axis and in the interval :math:`[-\pi j/2, +\pi j/2]` along the imaginary axis.
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*Note: branch cuts have provisional status* (see :ref:`branch-cuts`).
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*Note: branch cuts follow C99 and have provisional status* (see :ref:`branch-cuts`).
Accordingly, for complex arguments, the function returns the natural logarithm in the range of a strip in the interval :math:`[-\pi j, +\pi j]` along the imaginary axis and mathematically unbounded along the real axis.
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*Note: branch cuts have provisional status* (see :ref:`branch-cuts`).
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*Note: branch cuts follow C99 and have provisional status* (see :ref:`branch-cuts`).
Accordingly, for complex arguments, the function returns the natural logarithm in the range of a strip in the interval :math:`[-\pi j, +\pi j]` along the imaginary axis and mathematically unbounded along the real axis.
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*Note: branch cuts have provisional status* (see :ref:`branch-cuts`).
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*Note: branch cuts follow C99 and have provisional status* (see :ref:`branch-cuts`).
The natural logarithm is a continuous function from above the branch cut, taking into account the sign of the imaginary component. As special cases involving complex floating-point operands should be handled according to ``exp(x2*log(x1))``, exponentiation has the same branch cut for ``x1`` as the natural logarithm (see :func:`~array_api.log`).
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*Note: branch cuts have provisional status* (see :ref:`branch-cuts`).
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*Note: branch cuts follow C99 and have provisional status* (see :ref:`branch-cuts`).
Accordingly, for complex arguments, the function returns the square root in the range of the right half-plane, including the imaginary axis (i.e., the plane defined by :math:`[0, +\infty)` along the real axis and :math:`(-\infty, +\infty)` along the imaginary axis).
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*Note: branch cuts have provisional status* (see :ref:`branch-cuts`).
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*Note: branch cuts follow C99 and have provisional status* (see :ref:`branch-cuts`).
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