micropython-ulab/code/ulab.h
Jeff Epler 1150554ad5
ulab.numpy: implement sinc for creating audio filters
This is useful for generating FIR filters using code snippets generated at
https://fiiir.com/ (at least those with a rectangular window type; other
window types need additional functions but we can revisit it later if needed)

I think this will come in handy for folks who are using the advanced
features of our audio synthesizer module, synthio.

e.g., the following block now gives highly similar results on ulab
or numpy:

```py
try:
    import numpy as np
except:
    from ulab import numpy as np

# Example code, computes the coefficients of a low-pass windowed-sinc filter.

# Configuration.
fS = 48000  # Sampling rate.
fL = 4000  # Cutoff frequency.
N = 23  # Filter length, must be odd.

# Compute sinc filter.
h = np.sinc(2 * fL / fS * (np.arange(N) - (N - 1) / 2))

# Normalize to get unity gain.
h /= np.sum(h)

# Applying the filter to a signal s can be as simple as writing
# s = np.convolve(s, h)
2023-05-15 18:00:59 -05:00

753 lines
18 KiB
C

/*
* This file is part of the micropython-ulab project,
*
* https://github.com/v923z/micropython-ulab
*
* The MIT License (MIT)
*
* Copyright (c) 2019-2022 Zoltán Vörös
*/
#ifndef __ULAB__
#define __ULAB__
// The pre-processor constants in this file determine how ulab behaves:
//
// - how many dimensions ulab can handle
// - which functions are included in the compiled firmware
// - whether arrays can be sliced and iterated over
// - which binary/unary operators are supported
// - whether ulab can deal with complex numbers
//
// A considerable amount of flash space can be saved by removing (setting
// the corresponding constants to 0) the unnecessary functions and features.
// Values defined here can be overridden by your own config file as
// make -DULAB_CONFIG_FILE="my_ulab_config.h"
#if defined(ULAB_CONFIG_FILE)
#include ULAB_CONFIG_FILE
#endif
// Adds support for complex ndarrays
#ifndef ULAB_SUPPORTS_COMPLEX
#define ULAB_SUPPORTS_COMPLEX (1)
#endif
// Determines, whether scipy is defined in ulab. The sub-modules and functions
// of scipy have to be defined separately
#ifndef ULAB_HAS_SCIPY
#define ULAB_HAS_SCIPY (1)
#endif
// The maximum number of dimensions the firmware should be able to support
// Possible values lie between 1, and 4, inclusive
#ifndef ULAB_MAX_DIMS
#define ULAB_MAX_DIMS 2
#endif
// By setting this constant to 1, iteration over array dimensions will be implemented
// as a function (ndarray_rewind_array), instead of writing out the loops in macros
// This reduces firmware size at the expense of speed
#ifndef ULAB_HAS_FUNCTION_ITERATOR
#define ULAB_HAS_FUNCTION_ITERATOR (0)
#endif
// If NDARRAY_IS_ITERABLE is 1, the ndarray object defines its own iterator function
// This option saves approx. 250 bytes of flash space
#ifndef NDARRAY_IS_ITERABLE
#define NDARRAY_IS_ITERABLE (1)
#endif
// Slicing can be switched off by setting this variable to 0
#ifndef NDARRAY_IS_SLICEABLE
#define NDARRAY_IS_SLICEABLE (1)
#endif
// The default threshold for pretty printing. These variables can be overwritten
// at run-time via the set_printoptions() function
#ifndef ULAB_HAS_PRINTOPTIONS
#define ULAB_HAS_PRINTOPTIONS (1)
#endif
#define NDARRAY_PRINT_THRESHOLD 10
#define NDARRAY_PRINT_EDGEITEMS 3
// determines, whether the dtype is an object, or simply a character
// the object implementation is numpythonic, but requires more space
#ifndef ULAB_HAS_DTYPE_OBJECT
#define ULAB_HAS_DTYPE_OBJECT (0)
#endif
// the ndarray binary operators
#ifndef NDARRAY_HAS_BINARY_OPS
#define NDARRAY_HAS_BINARY_OPS (1)
#endif
// Firmware size can be reduced at the expense of speed by using function
// pointers in iterations. For each operator, he function pointer saves around
// 2 kB in the two-dimensional case, and around 4 kB in the four-dimensional case.
#ifndef NDARRAY_BINARY_USES_FUN_POINTER
#define NDARRAY_BINARY_USES_FUN_POINTER (0)
#endif
#ifndef NDARRAY_HAS_BINARY_OP_ADD
#define NDARRAY_HAS_BINARY_OP_ADD (1)
#endif
#ifndef NDARRAY_HAS_BINARY_OP_EQUAL
#define NDARRAY_HAS_BINARY_OP_EQUAL (1)
#endif
#ifndef NDARRAY_HAS_BINARY_OP_FLOOR_DIVIDE
#define NDARRAY_HAS_BINARY_OP_FLOOR_DIVIDE (1)
#endif
#ifndef NDARRAY_HAS_BINARY_OP_LESS
#define NDARRAY_HAS_BINARY_OP_LESS (1)
#endif
#ifndef NDARRAY_HAS_BINARY_OP_LESS_EQUAL
#define NDARRAY_HAS_BINARY_OP_LESS_EQUAL (1)
#endif
#ifndef NDARRAY_HAS_BINARY_OP_MORE
#define NDARRAY_HAS_BINARY_OP_MORE (1)
#endif
#ifndef NDARRAY_HAS_BINARY_OP_MORE_EQUAL
#define NDARRAY_HAS_BINARY_OP_MORE_EQUAL (1)
#endif
#ifndef NDARRAY_HAS_BINARY_OP_MULTIPLY
#define NDARRAY_HAS_BINARY_OP_MULTIPLY (1)
#endif
#ifndef NDARRAY_HAS_BINARY_OP_NOT_EQUAL
#define NDARRAY_HAS_BINARY_OP_NOT_EQUAL (1)
#endif
#ifndef NDARRAY_HAS_BINARY_OP_POWER
#define NDARRAY_HAS_BINARY_OP_POWER (1)
#endif
#ifndef NDARRAY_HAS_BINARY_OP_SUBTRACT
#define NDARRAY_HAS_BINARY_OP_SUBTRACT (1)
#endif
#ifndef NDARRAY_HAS_BINARY_OP_TRUE_DIVIDE
#define NDARRAY_HAS_BINARY_OP_TRUE_DIVIDE (1)
#endif
#ifndef NDARRAY_HAS_INPLACE_OPS
#define NDARRAY_HAS_INPLACE_OPS (1)
#endif
#ifndef NDARRAY_HAS_INPLACE_ADD
#define NDARRAY_HAS_INPLACE_ADD (1)
#endif
#ifndef NDARRAY_HAS_INPLACE_MULTIPLY
#define NDARRAY_HAS_INPLACE_MULTIPLY (1)
#endif
#ifndef NDARRAY_HAS_INPLACE_POWER
#define NDARRAY_HAS_INPLACE_POWER (1)
#endif
#ifndef NDARRAY_HAS_INPLACE_SUBTRACT
#define NDARRAY_HAS_INPLACE_SUBTRACT (1)
#endif
#ifndef NDARRAY_HAS_INPLACE_TRUE_DIVIDE
#define NDARRAY_HAS_INPLACE_TRUE_DIVIDE (1)
#endif
// the ndarray unary operators
#ifndef NDARRAY_HAS_UNARY_OPS
#define NDARRAY_HAS_UNARY_OPS (1)
#endif
#ifndef NDARRAY_HAS_UNARY_OP_ABS
#define NDARRAY_HAS_UNARY_OP_ABS (1)
#endif
#ifndef NDARRAY_HAS_UNARY_OP_INVERT
#define NDARRAY_HAS_UNARY_OP_INVERT (1)
#endif
#ifndef NDARRAY_HAS_UNARY_OP_LEN
#define NDARRAY_HAS_UNARY_OP_LEN (1)
#endif
#ifndef NDARRAY_HAS_UNARY_OP_NEGATIVE
#define NDARRAY_HAS_UNARY_OP_NEGATIVE (1)
#endif
#ifndef NDARRAY_HAS_UNARY_OP_POSITIVE
#define NDARRAY_HAS_UNARY_OP_POSITIVE (1)
#endif
// determines, which ndarray methods are available
#ifndef NDARRAY_HAS_BYTESWAP
#define NDARRAY_HAS_BYTESWAP (1)
#endif
#ifndef NDARRAY_HAS_COPY
#define NDARRAY_HAS_COPY (1)
#endif
#ifndef NDARRAY_HAS_DTYPE
#define NDARRAY_HAS_DTYPE (1)
#endif
#ifndef NDARRAY_HAS_FLATTEN
#define NDARRAY_HAS_FLATTEN (1)
#endif
#ifndef NDARRAY_HAS_ITEMSIZE
#define NDARRAY_HAS_ITEMSIZE (1)
#endif
#ifndef NDARRAY_HAS_RESHAPE
#define NDARRAY_HAS_RESHAPE (1)
#endif
#ifndef NDARRAY_HAS_SHAPE
#define NDARRAY_HAS_SHAPE (1)
#endif
#ifndef NDARRAY_HAS_SIZE
#define NDARRAY_HAS_SIZE (1)
#endif
#ifndef NDARRAY_HAS_SORT
#define NDARRAY_HAS_SORT (1)
#endif
#ifndef NDARRAY_HAS_STRIDES
#define NDARRAY_HAS_STRIDES (1)
#endif
#ifndef NDARRAY_HAS_TOBYTES
#define NDARRAY_HAS_TOBYTES (1)
#endif
#ifndef NDARRAY_HAS_TOLIST
#define NDARRAY_HAS_TOLIST (1)
#endif
#ifndef NDARRAY_HAS_TRANSPOSE
#define NDARRAY_HAS_TRANSPOSE (1)
#endif
// Firmware size can be reduced at the expense of speed by using a function
// pointer in iterations. Setting ULAB_VECTORISE_USES_FUNCPOINTER to 1 saves
// around 800 bytes in the four-dimensional case, and around 200 in two dimensions.
#ifndef ULAB_VECTORISE_USES_FUN_POINTER
#define ULAB_VECTORISE_USES_FUN_POINTER (1)
#endif
// determines, whether e is defined in ulab.numpy itself
#ifndef ULAB_NUMPY_HAS_E
#define ULAB_NUMPY_HAS_E (1)
#endif
// ulab defines infinite as a class constant in ulab.numpy
#ifndef ULAB_NUMPY_HAS_INF
#define ULAB_NUMPY_HAS_INF (1)
#endif
// ulab defines NaN as a class constant in ulab.numpy
#ifndef ULAB_NUMPY_HAS_NAN
#define ULAB_NUMPY_HAS_NAN (1)
#endif
// determines, whether pi is defined in ulab.numpy itself
#ifndef ULAB_NUMPY_HAS_PI
#define ULAB_NUMPY_HAS_PI (1)
#endif
// determines, whether the ndinfo function is available
#ifndef ULAB_NUMPY_HAS_NDINFO
#define ULAB_NUMPY_HAS_NDINFO (1)
#endif
// if this constant is set to 1, the interpreter can iterate
// over the flat array without copying any data
#ifndef NDARRAY_HAS_FLATITER
#define NDARRAY_HAS_FLATITER (1)
#endif
// frombuffer adds 600 bytes to the firmware
#ifndef ULAB_NUMPY_HAS_FROMBUFFER
#define ULAB_NUMPY_HAS_FROMBUFFER (1)
#endif
// functions that create an array
#ifndef ULAB_NUMPY_HAS_ARANGE
#define ULAB_NUMPY_HAS_ARANGE (1)
#endif
#ifndef ULAB_NUMPY_HAS_CONCATENATE
#define ULAB_NUMPY_HAS_CONCATENATE (1)
#endif
#ifndef ULAB_NUMPY_HAS_DIAG
#define ULAB_NUMPY_HAS_DIAG (1)
#endif
#ifndef ULAB_NUMPY_HAS_EMPTY
#define ULAB_NUMPY_HAS_EMPTY (1)
#endif
#ifndef ULAB_NUMPY_HAS_EYE
#define ULAB_NUMPY_HAS_EYE (1)
#endif
#ifndef ULAB_NUMPY_HAS_FULL
#define ULAB_NUMPY_HAS_FULL (1)
#endif
#ifndef ULAB_NUMPY_HAS_LINSPACE
#define ULAB_NUMPY_HAS_LINSPACE (1)
#endif
#ifndef ULAB_NUMPY_HAS_LOGSPACE
#define ULAB_NUMPY_HAS_LOGSPACE (1)
#endif
#ifndef ULAB_NUMPY_HAS_ONES
#define ULAB_NUMPY_HAS_ONES (1)
#endif
#ifndef ULAB_NUMPY_HAS_ZEROS
#define ULAB_NUMPY_HAS_ZEROS (1)
#endif
// functions that compare arrays
#ifndef ULAB_NUMPY_HAS_CLIP
#define ULAB_NUMPY_HAS_CLIP (1)
#endif
#ifndef ULAB_NUMPY_HAS_EQUAL
#define ULAB_NUMPY_HAS_EQUAL (1)
#endif
#ifndef ULAB_NUMPY_HAS_ISFINITE
#define ULAB_NUMPY_HAS_ISFINITE (1)
#endif
#ifndef ULAB_NUMPY_HAS_ISINF
#define ULAB_NUMPY_HAS_ISINF (1)
#endif
#ifndef ULAB_NUMPY_HAS_MAXIMUM
#define ULAB_NUMPY_HAS_MAXIMUM (1)
#endif
#ifndef ULAB_NUMPY_HAS_MINIMUM
#define ULAB_NUMPY_HAS_MINIMUM (1)
#endif
#ifndef ULAB_NUMPY_HAS_NONZERO
#define ULAB_NUMPY_HAS_NONZERO (1)
#endif
#ifndef ULAB_NUMPY_HAS_NOTEQUAL
#define ULAB_NUMPY_HAS_NOTEQUAL (1)
#endif
#ifndef ULAB_NUMPY_HAS_WHERE
#define ULAB_NUMPY_HAS_WHERE (1)
#endif
// the linalg module; functions of the linalg module still have
// to be defined separately
#ifndef ULAB_NUMPY_HAS_LINALG_MODULE
#define ULAB_NUMPY_HAS_LINALG_MODULE (1)
#endif
#ifndef ULAB_LINALG_HAS_CHOLESKY
#define ULAB_LINALG_HAS_CHOLESKY (1)
#endif
#ifndef ULAB_LINALG_HAS_DET
#define ULAB_LINALG_HAS_DET (1)
#endif
#ifndef ULAB_LINALG_HAS_EIG
#define ULAB_LINALG_HAS_EIG (1)
#endif
#ifndef ULAB_LINALG_HAS_INV
#define ULAB_LINALG_HAS_INV (1)
#endif
#ifndef ULAB_LINALG_HAS_NORM
#define ULAB_LINALG_HAS_NORM (1)
#endif
#ifndef ULAB_LINALG_HAS_QR
#define ULAB_LINALG_HAS_QR (1)
#endif
// the FFT module; functions of the fft module still have
// to be defined separately
#ifndef ULAB_NUMPY_HAS_FFT_MODULE
#define ULAB_NUMPY_HAS_FFT_MODULE (1)
#endif
// By setting this constant to 1, the FFT routine will behave in a
// numpy-compatible way, i.e., it will output a complex array
// This setting has no effect, if ULAB_SUPPORTS_COMPLEX is 0
// Note that in this case, the input also must be numpythonic,
// i.e., the real an imaginary parts cannot be passed as two arguments
#ifndef ULAB_FFT_IS_NUMPY_COMPATIBLE
#define ULAB_FFT_IS_NUMPY_COMPATIBLE (0)
#endif
#ifndef ULAB_FFT_HAS_FFT
#define ULAB_FFT_HAS_FFT (1)
#endif
#ifndef ULAB_FFT_HAS_IFFT
#define ULAB_FFT_HAS_IFFT (1)
#endif
#ifndef ULAB_NUMPY_HAS_ALL
#define ULAB_NUMPY_HAS_ALL (1)
#endif
#ifndef ULAB_NUMPY_HAS_ANY
#define ULAB_NUMPY_HAS_ANY (1)
#endif
#ifndef ULAB_NUMPY_HAS_ARGMINMAX
#define ULAB_NUMPY_HAS_ARGMINMAX (1)
#endif
#ifndef ULAB_NUMPY_HAS_ARGSORT
#define ULAB_NUMPY_HAS_ARGSORT (1)
#endif
#ifndef ULAB_NUMPY_HAS_ASARRAY
#define ULAB_NUMPY_HAS_ASARRAY (1)
#endif
#ifndef ULAB_NUMPY_HAS_COMPRESS
#define ULAB_NUMPY_HAS_COMPRESS (1)
#endif
#ifndef ULAB_NUMPY_HAS_CONVOLVE
#define ULAB_NUMPY_HAS_CONVOLVE (1)
#endif
#ifndef ULAB_NUMPY_HAS_CROSS
#define ULAB_NUMPY_HAS_CROSS (1)
#endif
#ifndef ULAB_NUMPY_HAS_DELETE
#define ULAB_NUMPY_HAS_DELETE (1)
#endif
#ifndef ULAB_NUMPY_HAS_DIFF
#define ULAB_NUMPY_HAS_DIFF (1)
#endif
#ifndef ULAB_NUMPY_HAS_DOT
#define ULAB_NUMPY_HAS_DOT (1)
#endif
#ifndef ULAB_NUMPY_HAS_FLIP
#define ULAB_NUMPY_HAS_FLIP (1)
#endif
#ifndef ULAB_NUMPY_HAS_INTERP
#define ULAB_NUMPY_HAS_INTERP (1)
#endif
#ifndef ULAB_NUMPY_HAS_LOAD
#define ULAB_NUMPY_HAS_LOAD (1)
#endif
#ifndef ULAB_NUMPY_HAS_LOADTXT
#define ULAB_NUMPY_HAS_LOADTXT (1)
#endif
#ifndef ULAB_NUMPY_HAS_MEAN
#define ULAB_NUMPY_HAS_MEAN (1)
#endif
#ifndef ULAB_NUMPY_HAS_MEDIAN
#define ULAB_NUMPY_HAS_MEDIAN (1)
#endif
#ifndef ULAB_NUMPY_HAS_MINMAX
#define ULAB_NUMPY_HAS_MINMAX (1)
#endif
#ifndef ULAB_NUMPY_HAS_POLYFIT
#define ULAB_NUMPY_HAS_POLYFIT (1)
#endif
#ifndef ULAB_NUMPY_HAS_POLYVAL
#define ULAB_NUMPY_HAS_POLYVAL (1)
#endif
#ifndef ULAB_NUMPY_HAS_ROLL
#define ULAB_NUMPY_HAS_ROLL (1)
#endif
#ifndef ULAB_NUMPY_HAS_SAVE
#define ULAB_NUMPY_HAS_SAVE (1)
#endif
#ifndef ULAB_NUMPY_HAS_SAVETXT
#define ULAB_NUMPY_HAS_SAVETXT (1)
#endif
#ifndef ULAB_NUMPY_HAS_SIZE
#define ULAB_NUMPY_HAS_SIZE (1)
#endif
#ifndef ULAB_NUMPY_HAS_SORT
#define ULAB_NUMPY_HAS_SORT (1)
#endif
#ifndef ULAB_NUMPY_HAS_STD
#define ULAB_NUMPY_HAS_STD (1)
#endif
#ifndef ULAB_NUMPY_HAS_SUM
#define ULAB_NUMPY_HAS_SUM (1)
#endif
#ifndef ULAB_NUMPY_HAS_TRACE
#define ULAB_NUMPY_HAS_TRACE (1)
#endif
#ifndef ULAB_NUMPY_HAS_TRAPZ
#define ULAB_NUMPY_HAS_TRAPZ (1)
#endif
// vectorised versions of the functions of the math python module, with
// the exception of the functions listed in scipy.special
#ifndef ULAB_NUMPY_HAS_ACOS
#define ULAB_NUMPY_HAS_ACOS (1)
#endif
#ifndef ULAB_NUMPY_HAS_ACOSH
#define ULAB_NUMPY_HAS_ACOSH (1)
#endif
#ifndef ULAB_NUMPY_HAS_ARCTAN2
#define ULAB_NUMPY_HAS_ARCTAN2 (1)
#endif
#ifndef ULAB_NUMPY_HAS_AROUND
#define ULAB_NUMPY_HAS_AROUND (1)
#endif
#ifndef ULAB_NUMPY_HAS_ASIN
#define ULAB_NUMPY_HAS_ASIN (1)
#endif
#ifndef ULAB_NUMPY_HAS_ASINH
#define ULAB_NUMPY_HAS_ASINH (1)
#endif
#ifndef ULAB_NUMPY_HAS_ATAN
#define ULAB_NUMPY_HAS_ATAN (1)
#endif
#ifndef ULAB_NUMPY_HAS_ATANH
#define ULAB_NUMPY_HAS_ATANH (1)
#endif
#ifndef ULAB_NUMPY_HAS_CEIL
#define ULAB_NUMPY_HAS_CEIL (1)
#endif
#ifndef ULAB_NUMPY_HAS_COS
#define ULAB_NUMPY_HAS_COS (1)
#endif
#ifndef ULAB_NUMPY_HAS_COSH
#define ULAB_NUMPY_HAS_COSH (1)
#endif
#ifndef ULAB_NUMPY_HAS_DEGREES
#define ULAB_NUMPY_HAS_DEGREES (1)
#endif
#ifndef ULAB_NUMPY_HAS_EXP
#define ULAB_NUMPY_HAS_EXP (1)
#endif
#ifndef ULAB_NUMPY_HAS_EXPM1
#define ULAB_NUMPY_HAS_EXPM1 (1)
#endif
#ifndef ULAB_NUMPY_HAS_FLOOR
#define ULAB_NUMPY_HAS_FLOOR (1)
#endif
#ifndef ULAB_NUMPY_HAS_LOG
#define ULAB_NUMPY_HAS_LOG (1)
#endif
#ifndef ULAB_NUMPY_HAS_LOG10
#define ULAB_NUMPY_HAS_LOG10 (1)
#endif
#ifndef ULAB_NUMPY_HAS_LOG2
#define ULAB_NUMPY_HAS_LOG2 (1)
#endif
#ifndef ULAB_NUMPY_HAS_RADIANS
#define ULAB_NUMPY_HAS_RADIANS (1)
#endif
#ifndef ULAB_NUMPY_HAS_SIN
#define ULAB_NUMPY_HAS_SIN (1)
#endif
#ifndef ULAB_NUMPY_HAS_SINC
#define ULAB_NUMPY_HAS_SINC (1)
#endif
#ifndef ULAB_NUMPY_HAS_SINH
#define ULAB_NUMPY_HAS_SINH (1)
#endif
#ifndef ULAB_NUMPY_HAS_SQRT
#define ULAB_NUMPY_HAS_SQRT (1)
#endif
#ifndef ULAB_NUMPY_HAS_TAN
#define ULAB_NUMPY_HAS_TAN (1)
#endif
#ifndef ULAB_NUMPY_HAS_TANH
#define ULAB_NUMPY_HAS_TANH (1)
#endif
#ifndef ULAB_NUMPY_HAS_VECTORIZE
#define ULAB_NUMPY_HAS_VECTORIZE (1)
#endif
// Complex functions. The implementations are compiled into
// the firmware, only if ULAB_SUPPORTS_COMPLEX is set to 1
#ifndef ULAB_NUMPY_HAS_CONJUGATE
#define ULAB_NUMPY_HAS_CONJUGATE (1)
#endif
#ifndef ULAB_NUMPY_HAS_IMAG
#define ULAB_NUMPY_HAS_IMAG (1)
#endif
#ifndef ULAB_NUMPY_HAS_REAL
#define ULAB_NUMPY_HAS_REAL (1)
#endif
#ifndef ULAB_NUMPY_HAS_SORT_COMPLEX
#define ULAB_NUMPY_HAS_SORT_COMPLEX (1)
#endif
// scipy modules
#ifndef ULAB_SCIPY_HAS_LINALG_MODULE
#define ULAB_SCIPY_HAS_LINALG_MODULE (1)
#endif
#ifndef ULAB_SCIPY_LINALG_HAS_CHO_SOLVE
#define ULAB_SCIPY_LINALG_HAS_CHO_SOLVE (1)
#endif
#ifndef ULAB_SCIPY_LINALG_HAS_SOLVE_TRIANGULAR
#define ULAB_SCIPY_LINALG_HAS_SOLVE_TRIANGULAR (1)
#endif
#ifndef ULAB_SCIPY_HAS_SIGNAL_MODULE
#define ULAB_SCIPY_HAS_SIGNAL_MODULE (1)
#endif
#ifndef ULAB_SCIPY_SIGNAL_HAS_SOSFILT
#define ULAB_SCIPY_SIGNAL_HAS_SOSFILT (1)
#endif
#ifndef ULAB_SCIPY_HAS_OPTIMIZE_MODULE
#define ULAB_SCIPY_HAS_OPTIMIZE_MODULE (1)
#endif
#ifndef ULAB_SCIPY_OPTIMIZE_HAS_BISECT
#define ULAB_SCIPY_OPTIMIZE_HAS_BISECT (1)
#endif
#ifndef ULAB_SCIPY_OPTIMIZE_HAS_CURVE_FIT
#define ULAB_SCIPY_OPTIMIZE_HAS_CURVE_FIT (0) // not fully implemented
#endif
#ifndef ULAB_SCIPY_OPTIMIZE_HAS_FMIN
#define ULAB_SCIPY_OPTIMIZE_HAS_FMIN (1)
#endif
#ifndef ULAB_SCIPY_OPTIMIZE_HAS_NEWTON
#define ULAB_SCIPY_OPTIMIZE_HAS_NEWTON (1)
#endif
#ifndef ULAB_SCIPY_HAS_SPECIAL_MODULE
#define ULAB_SCIPY_HAS_SPECIAL_MODULE (1)
#endif
#ifndef ULAB_SCIPY_SPECIAL_HAS_ERF
#define ULAB_SCIPY_SPECIAL_HAS_ERF (1)
#endif
#ifndef ULAB_SCIPY_SPECIAL_HAS_ERFC
#define ULAB_SCIPY_SPECIAL_HAS_ERFC (1)
#endif
#ifndef ULAB_SCIPY_SPECIAL_HAS_GAMMA
#define ULAB_SCIPY_SPECIAL_HAS_GAMMA (1)
#endif
#ifndef ULAB_SCIPY_SPECIAL_HAS_GAMMALN
#define ULAB_SCIPY_SPECIAL_HAS_GAMMALN (1)
#endif
// functions of the utils module
#ifndef ULAB_HAS_UTILS_MODULE
#define ULAB_HAS_UTILS_MODULE (1)
#endif
#ifndef ULAB_UTILS_HAS_FROM_INT16_BUFFER
#define ULAB_UTILS_HAS_FROM_INT16_BUFFER (1)
#endif
#ifndef ULAB_UTILS_HAS_FROM_UINT16_BUFFER
#define ULAB_UTILS_HAS_FROM_UINT16_BUFFER (1)
#endif
#ifndef ULAB_UTILS_HAS_FROM_INT32_BUFFER
#define ULAB_UTILS_HAS_FROM_INT32_BUFFER (1)
#endif
#ifndef ULAB_UTILS_HAS_FROM_UINT32_BUFFER
#define ULAB_UTILS_HAS_FROM_UINT32_BUFFER (1)
#endif
#ifndef ULAB_UTILS_HAS_SPECTROGRAM
#define ULAB_UTILS_HAS_SPECTROGRAM (1)
#endif
// user-defined module; source of the module and
// its sub-modules should be placed in code/user/
#ifndef ULAB_HAS_USER_MODULE
#define ULAB_HAS_USER_MODULE (0)
#endif
#endif