[Python] python numba calling problems

I was writing code for the simulation of the fluid dynamics of a layer of water. It has a function of solid_liquid_layer_angular_velocity_change:

def solid_liquid_layer_angular_velocity_change(
viscosity,
radius,
thickness,
solid_inertia,
solid_angular_velocity,
liquid_layer_angular_velocity,
second_liquid_layer_angular_velocity,
):
"""
Calculate the angular velocity change rates for both solid and liquid layers due to viscous interaction.

Formula:
t = 8/3 * mu * r^4 * (omega_solid - omega_liquid) / thickness
dOmega_solid/dt = -t / I_effective

Args:
viscosity: The dynamic viscosity of the liquid
radius: The radius of the top layer of the fluid
thickness: The thickness of one liquid layer
solid_inertia: The principal moments of inertia of the solid object [I1, I2, I3]
solid_angular_velocity: The current angular velocity of the solid object [ωx, ωy, ωz]
liquid_layer_angular_velocity: The angular velocity of the top liquid layer
second_liquid_layer_angular_velocity: The angular velocity of the second liquid layer

Returns:
tuple: (solid_angular_velocity_change, liquid_angular_velocity_change)
"""
# Small value to avoid division by zero
EPSILON = 1e-10

# Calculate torque on solid due to liquid with numerical stability
delta_omega = solid_angular_velocity - liquid_layer_angular_velocity
torque_magnitude = (8/3) * np.pi * viscosity * (radius**4) / max(thickness, EPSILON)
torque_solid = torque_magnitude * delta_omega

# Calculate liquid layer's angular velocity change with numerical stability
current_radius = max(radius - thickness, EPSILON)
total_layers = max(radius / max(thickness, EPSILON), 1.0)

# Initialize with zeros
liquid_angular_velocity_change = np.zeros_like(liquid_layer_angular_velocity)

# Only calculate if we have enough layers
if total_layers > 1:
liquid_angular_velocity_change = layer_angular_velocity_change(
kinetic_viscosity=water_kinetic_viscosity,
radius=current_radius,
layer=current_radius/thickness,
total_layers=total_layers,
upper_angular_velocity=solid_angular_velocity,
angular_velocity=liquid_layer_angular_velocity,
lower_angular_velocity=second_liquid_layer_angular_velocity
)

# Calculate effective inertia with numerical stability
effective_inertia = inertia_of_solid_object_at_nonmain_axis_rotation(
solid_inertia,
solid_angular_velocity
)

# Calculate solid's angular velocity change due to liquid with numerical stability
solid_angular_velocity_change_due_to_liquid = np.zeros_like(torque_solid)
if effective_inertia > EPSILON:
solid_angular_velocity_change_due_to_liquid = -torque_solid / effective_inertia

# Ensure we don't return NaN or inf
solid_angular_velocity_change_due_to_liquid = np.nan_to_num(
solid_angular_velocity_change_due_to_liquid,
nan=0.0,
posinf=0.0,
neginf=0.0
)

return solid_angular_velocity_change_due_to_liquid, liquid_angular_velocity_change


and then I used it in another code for calling:

upper_layer_viscous_increment_term, solid_angular_velocity_viscous_increment_term = solid_liquid_layer_angular_velocity_change(
viscosity=water_viscosity,
radius=water_radius,
thickness=layer_thickness,
solid_inertia=inertia_tensor,
solid_angular_velocity=solid_angular_velocity_current,
liquid_layer_angular_velocity=water_angular_velocity_current[water_layer_num-1],
second_liquid_layer_angular_velocity=water_angular_velocity_current[water_layer_num-2],
)


then, I received an error which is caused by numba, which claims to be the parameters calling doesn't match the function was defined causing index out of range, following:

/usr/local/bin/python3.13 /Users/niuyingkai/PycharmProjects/PT-formula/2026 prob 7 liquid solid interaction.py
Traceback (most recent call last):
File "/Users/niuyingkai/PycharmProjects/PT-formula/2026 prob 7 liquid solid interaction.py", line 174, in <module>
upper_layer_viscous_increment_term, solid_angular_velocity_viscous_increment_term = solid_liquid_layer_angular_velocity_change(
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^
viscosity=water_viscosity,
^^^^^^^^^^^^^^^^^^^^^^^^^^
...<5 lines>...
second_liquid_layer_angular_velocity=water_angular_velocity_current[water_layer_num-2],
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
)
^
File "/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/numba/core/dispatcher.py", line 443, in _compile_for_args
raise e
File "/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/numba/core/dispatcher.py", line 376, in _compile_for_args
return_val = self.compile(tuple(argtypes))
File "/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/numba/core/dispatcher.py", line 908, in compile
cres = self._compiler.compile(args, return_type)
File "/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/numba/core/dispatcher.py", line 80, in compile
status, retval = self._compile_cached(args, return_type)
~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^
File "/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/numba/core/dispatcher.py", line 94, in _compile_cached
retval = self._compile_core(args, return_type)
File "/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/numba/core/dispatcher.py", line 107, in _compile_core
cres = compiler.compile_extra(self.targetdescr.typing_context,
self.targetdescr.target_context,
...<2 lines>...
flags=flags, locals=self.locals,
pipeline_class=self.pipeline_class)
File "/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/numba/core/compiler.py", line 739, in compile_extra
return pipeline.compile_extra(func)
~~~~~~~~~~~~~~~~~~~~~~^^^^^^
File "/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/numba/core/compiler.py", line 439, in compile_extra
return self._compile_bytecode()
~~~~~~~~~~~~~~~~~~~~~~^^
File "/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/numba/core/compiler.py", line 505, in _compile_bytecode
return self._compile_core()
~~~~~~~~~~~~~~~~~~^^
File "/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/numba/core/compiler.py", line 481, in _compile_core
raise e
File "/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/numba/core/compiler.py", line 473, in _compile_core
pm.run(self.state)
~~~~~~^^^^^^^^^^^^
File "/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/numba/core/compiler_machinery.py", line 363, in run
raise e
File "/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/numba/core/compiler_machinery.py", line 356, in run
self._runPass(idx, pass_inst, state)
~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^
File "/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/numba/core/compiler_lock.py", line 35, in _acquire_compile_lock
return func(*args, **kwargs)
File "/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/numba/core/compiler_machinery.py", line 311, in _runPass
mutated |= check(pss.run_pass, internal_state)
~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
File "/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/numba/core/compiler_machinery.py", line 272, in check
mangled = func(compiler_state)
File "/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/numba/core/typed_passes.py", line 114, in run_pass
typemap, return_type, calltypes, errs = type_inference_stage(
~~~~~~~~~~~~~~~~~~~~^
state.typingctx,
^^^^^^^^^^^^^^^^
...<4 lines>...
state.locals,
^^^^^^^^^^^^^
raise_errors=self._raise_errors)
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
File "/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/numba/core/typed_passes.py", line 95, in type_inference_stage
errs = infer.propagate(raise_errors=raise_errors)
File "/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/numba/core/typeinfer.py", line 1075, in propagate
errors = self.constraints.propagate(self)
File "/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/numba/core/typeinfer.py", line 160, in propagate
constraint(typeinfer)
~~~~~~~~~~^^^^^^^^^^^
File "/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/numba/core/typeinfer.py", line 572, in __call__
self.resolve(typeinfer, typevars, fnty)
~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^
File "/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/numba/core/typeinfer.py", line 595, in resolve
sig = typeinfer.resolve_call(fnty, pos_args, kw_args)
File "/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/numba/core/typeinfer.py", line 1569, in resolve_call
return self.context.resolve_function_type(fnty, pos_args, kw_args)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^
File "/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/numba/core/typing/context.py", line 279, in resolve_function_type
res = self._resolve_user_function_type(func, args, kws)
File "/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/numba/core/typing/context.py", line 335, in _resolve_user_function_type
return func.get_call_type(self, args, kws)
~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^
File "/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/numba/core/types/functions.py", line 541, in get_call_type
self.dispatcher.get_call_template(args, kws)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^
File "/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/numba/core/dispatcher.py", line 315, in get_call_template
pysig, args = self._compiler.fold_argument_types(args, kws)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^
File "/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-packages/numba/core/dispatcher.py", line 73, in fold_argument_types
args = fold_arguments(self.pysig, args, kws,
normal_handler,
default_handler,
stararg_handler)
File "/Library/Frameworks/Python.framework/Versions/3.13/lib/python3.13/site-fpackages/numba/core/typing/templates.py", line 217, in fold_arguments
bind_kws[n] = args[len(kwonly) + idx]
~~~~^^^^^^^^^^^^^^^^^^^
IndexError: tuple index out of range

Process finished with exit code 1


But I checked the calling and there was no problem at all. What is the problem? How to solve it?

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