doc: improve docs for jax.lax trig functions

docs/jax.lax.rst

@@ -90,6 +90,7 @@ Operators
     erfc
     erf_inv
     exp
+    exp2
     expand_dims
     expm1
     fft

jax/_src/lax/lax.py

@@ -458,6 +458,7 @@ def round(x: ArrayLike,
   rounding_method = RoundingMethod(rounding_method)
   return round_p.bind(x, rounding_method=rounding_method)
 
+@export
 def is_finite(x: ArrayLike) -> Array:
   r"""Elementwise :math:`\mathrm{isfinite}`.
 
@@ -478,6 +479,7 @@ def is_finite(x: ArrayLike) -> Array:
   """
   return is_finite_p.bind(x)
 
+@export
 def exp(x: ArrayLike) -> Array:
   r"""Elementwise exponential: :math:`e^x`.
 
@@ -488,7 +490,7 @@ def exp(x: ArrayLike) -> Array:
 
   Returns:
     Array of the same shape and dtype as ``x`` containing the element-wise
-      exponential.
+    exponential.
 
   See also:
     - :func:`jax.lax.exp2`: elementwise base-2 exponentional: :math:`2^x`.
@@ -509,7 +511,7 @@ def exp2(x: ArrayLike) -> Array:
 
   Returns:
     Array of the same shape and dtype as ``x`` containing the element-wise
-      base-2 exponential.
+    base-2 exponential.
 
   See also:
     - :func:`jax.lax.exp`: elementwise exponentional: :math:`e^x`.
@@ -520,6 +522,7 @@ def exp2(x: ArrayLike) -> Array:
   """
   return exp2_p.bind(x)
 
+@export
 def expm1(x: ArrayLike) -> Array:
   r"""Elementwise :math:`e^{x} - 1`.
 
@@ -532,7 +535,7 @@ def expm1(x: ArrayLike) -> Array:
 
   Returns:
     Array of the same shape and dtype as ``x`` containing the element-wise
-      exponential minus 1.
+    exponential minus 1.
 
   See also:
     - :func:`jax.lax.exp`: elementwise exponentional: :math:`e^x`.
@@ -542,6 +545,7 @@ def expm1(x: ArrayLike) -> Array:
   """
   return expm1_p.bind(x)
 
+@export
 def log(x: ArrayLike) -> Array:
   r"""Elementwise natural logarithm: :math:`\mathrm{log}(x)`.
 
@@ -552,7 +556,7 @@ def log(x: ArrayLike) -> Array:
 
   Returns:
     Array of the same shape and dtype as ``x`` containing the element-wise
-      natural logarithm.
+    natural logarithm.
 
   See also:
     - :func:`jax.lax.exp`: elementwise exponentional: :math:`e^x`.
@@ -561,8 +565,9 @@ def log(x: ArrayLike) -> Array:
   """
   return log_p.bind(x)
 
+@export
 def log1p(x: ArrayLike) -> Array:
-  r"""Elementwise :math:`\mathrm{log}(1 + x)`..
+  r"""Elementwise :math:`\mathrm{log}(1 + x)`.
 
   This function lowers directly to the  `stablehlo.log_plus_one`_ operation.
   Compared to the naive expression ``lax.log(1 + x)``, it is more accurate
@@ -573,7 +578,7 @@ def log1p(x: ArrayLike) -> Array:
 
   Returns:
     Array of the same shape and dtype as ``x`` containing the element-wise
-      natural logarithm of ``x + 1``.
+    natural logarithm of ``x + 1``.
 
   See also:
     - :func:`jax.lax.expm1`: elementwise :math:`e^x - 1`.
@@ -591,17 +596,75 @@ def logistic(x: ArrayLike) -> Array:
   r"""Elementwise logistic (sigmoid) function: :math:`\frac{1}{1 + e^{-x}}`."""
   return logistic_p.bind(x)
 
+@export
 def sin(x: ArrayLike) -> Array:
-  r"""Elementwise sine: :math:`\mathrm{sin}(x)`."""
+  r"""Elementwise sine: :math:`\mathrm{sin}(x)`.
+
+  For floating-point inputs, this function lowers directly to the
+  `stablehlo.sine`_ operation. For complex inputs, it lowers to a
+  sequence of HLO operations implementing the complex sine.
+
+  Args:
+    x: input array. Must have floating-point or complex type.
+
+  Returns:
+    Array of the same shape and dtype as ``x`` containing the element-wise
+    sine.
+
+  See also:
+    - :func:`jax.lax.cos`: elementwise cosine.
+    - :func:`jax.lax.tan`: elementwise tangent.
+    - :func:`jax.lax.asin`: elementwise arcsine.
+
+  .. _stablehlo.sine: https://openxla.org/stablehlo/spec#sine
+  """
   return sin_p.bind(x)
 
+@export
 def cos(x: ArrayLike) -> Array:
-  r"""Elementwise cosine: :math:`\mathrm{cos}(x)`."""
+  r"""Elementwise cosine: :math:`\mathrm{cos}(x)`.
+
+  For floating-point inputs, this function lowers directly to the
+  `stablehlo.cosine`_ operation. For complex inputs, it lowers to a
+  sequence of HLO operations implementing the complex cosine.
+
+  Args:
+    x: input array. Must have floating-point or complex type.
+
+  Returns:
+    Array of the same shape and dtype as ``x`` containing the element-wise
+    cosine.
+
+  See also:
+    - :func:`jax.lax.sin`: elementwise sine.
+    - :func:`jax.lax.tan`: elementwise tangent.
+    - :func:`jax.lax.acos`: elementwise arccosine.
+
+  .. _stablehlo.cosine: https://openxla.org/stablehlo/spec#cosine
+  """
   return cos_p.bind(x)
 
+@export
 def atan2(x: ArrayLike, y: ArrayLike) -> Array:
-  r"""Elementwise arc tangent of two variables:
-    :math:`\mathrm{atan}({x \over y})`."""
+  r"""Elementwise two-term arc tangent: :math:`\mathrm{atan}({x \over y})`.
+
+  This function lowers directly to the `stablehlo.atan2`_ operation.
+
+  Args:
+    x, y: input arrays. Must have a matching floating-point dtypes. If neither is
+      a scalar, must have the same number of dimensions and be broadcast-compatible.
+
+  Returns:
+    Array of the same shape and dtype as ``x`` and ``y`` containing the element-wise
+    arctangent of :math:`x \over y`, respecting the quadrant indicated by the sign
+    of each input.
+
+  See also:
+    - :func:`jax.lax.tan`: elementwise tangent.
+    - :func:`jax.lax.atan`: elementwise one-term arctangent.
+
+  .. _stablehlo.atan2: https://openxla.org/stablehlo/spec#atan2
+  """
   return atan2_p.bind(x, y)
 
 def real(x: ArrayLike) -> Array:
@@ -2473,20 +2536,88 @@ def reciprocal(x: ArrayLike) -> Array:
   r"""Elementwise reciprocal: :math:`1 \over x`."""
   return integer_pow(x, -1)
 
+@export
 def tan(x: ArrayLike) -> Array:
-  r"""Elementwise tangent: :math:`\mathrm{tan}(x)`."""
+  r"""Elementwise tangent: :math:`\mathrm{tan}(x)`.
+
+  This function lowers directly to the `stablehlo.tangent`_ operation.
+
+  Args:
+    x: input array. Must have floating-point or complex type.
+
+  Returns:
+    Array of the same shape and dtype as ``x`` containing the element-wise
+    tangent.
+
+  See also:
+    - :func:`jax.lax.cos`: elementwise cosine.
+    - :func:`jax.lax.sin`: elementwise sine.
+    - :func:`jax.lax.atan`: elementwise arctangent.
+    - :func:`jax.lax.atan2`: elementwise 2-term arctangent.
+
+  .. _stablehlo.tangent: https://openxla.org/stablehlo/spec#tangent
+  """
   return tan_p.bind(x)
 
+@export
 def asin(x: ArrayLike) -> Array:
-  r"""Elementwise arc sine: :math:`\mathrm{asin}(x)`."""
+  r"""Elementwise arc sine: :math:`\mathrm{asin}(x)`.
+
+  This function lowers directly to the ``chlo.asin`` operation.
+
+  Args:
+    x: input array. Must have floating-point or complex type.
+
+  Returns:
+    Array of the same shape and dtype as ``x`` containing the
+    element-wise arcsine.
+
+  See also:
+    - :func:`jax.lax.sin`: elementwise sine.
+    - :func:`jax.lax.acos`: elementwise arccosine.
+    - :func:`jax.lax.atan`: elementwise arctangent.
+  """
   return asin_p.bind(x)
 
+@export
 def acos(x: ArrayLike) -> Array:
-  r"""Elementwise arc cosine: :math:`\mathrm{acos}(x)`."""
+  r"""Elementwise arc cosine: :math:`\mathrm{acos}(x)`.
+
+  This function lowers directly to the ``chlo.acos`` operation.
+
+  Args:
+    x: input array. Must have floating-point or complex type.
+
+  Returns:
+    Array of the same shape and dtype as ``x`` containing the
+    element-wise arccosine.
+
+  See also:
+    - :func:`jax.lax.cos`: elementwise cosine.
+    - :func:`jax.lax.asin`: elementwise arcsine.
+    - :func:`jax.lax.atan`: elementwise arctangent.
+  """
   return acos_p.bind(x)
 
+@export
 def atan(x: ArrayLike) -> Array:
-  r"""Elementwise arc tangent: :math:`\mathrm{atan}(x)`."""
+  r"""Elementwise arc tangent: :math:`\mathrm{atan}(x)`.
+
+  This function lowers directly to the ``chlo.atan`` operation.
+
+  Args:
+    x: input array. Must have floating-point or complex type.
+
+  Returns:
+    Array of the same shape and dtype as ``x`` containing the
+    element-wise arctangent.
+
+  See also:
+    - :func:`jax.lax.tan`: elementwise tangent.
+    - :func:`jax.lax.acos`: elementwise arccosine.
+    - :func:`jax.lax.asin`: elementwise arcsine.
+    - :func:`jax.lax.atan2`: elementwise 2-term arctangent.
+  """
   return atan_p.bind(x)
 
 def sinh(x: ArrayLike) -> Array: