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diff --git a/ext/pybind11/include/pybind11/numpy.h b/ext/pybind11/include/pybind11/numpy.h
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+/*
+ pybind11/numpy.h: Basic NumPy support, vectorize() wrapper
+
+ Copyright (c) 2016 Wenzel Jakob <wenzel.jakob@epfl.ch>
+
+ All rights reserved. Use of this source code is governed by a
+ BSD-style license that can be found in the LICENSE file.
+*/
+
+#pragma once
+
+#include "pybind11.h"
+#include "complex.h"
+#include <numeric>
+#include <algorithm>
+#include <array>
+#include <cstdlib>
+#include <cstring>
+#include <sstream>
+#include <string>
+#include <initializer_list>
+#include <functional>
+#include <utility>
+#include <typeindex>
+
+#if defined(_MSC_VER)
+# pragma warning(push)
+# pragma warning(disable: 4127) // warning C4127: Conditional expression is constant
+#endif
+
+/* This will be true on all flat address space platforms and allows us to reduce the
+ whole npy_intp / size_t / Py_intptr_t business down to just size_t for all size
+ and dimension types (e.g. shape, strides, indexing), instead of inflicting this
+ upon the library user. */
+static_assert(sizeof(size_t) == sizeof(Py_intptr_t), "size_t != Py_intptr_t");
+
+NAMESPACE_BEGIN(pybind11)
+NAMESPACE_BEGIN(detail)
+template <typename type, typename SFINAE = void> struct npy_format_descriptor { };
+template <typename type> struct is_pod_struct;
+
+struct PyArrayDescr_Proxy {
+ PyObject_HEAD
+ PyObject *typeobj;
+ char kind;
+ char type;
+ char byteorder;
+ char flags;
+ int type_num;
+ int elsize;
+ int alignment;
+ char *subarray;
+ PyObject *fields;
+ PyObject *names;
+};
+
+struct PyArray_Proxy {
+ PyObject_HEAD
+ char *data;
+ int nd;
+ ssize_t *dimensions;
+ ssize_t *strides;
+ PyObject *base;
+ PyObject *descr;
+ int flags;
+};
+
+struct PyVoidScalarObject_Proxy {
+ PyObject_VAR_HEAD
+ char *obval;
+ PyArrayDescr_Proxy *descr;
+ int flags;
+ PyObject *base;
+};
+
+struct numpy_type_info {
+ PyObject* dtype_ptr;
+ std::string format_str;
+};
+
+struct numpy_internals {
+ std::unordered_map<std::type_index, numpy_type_info> registered_dtypes;
+
+ numpy_type_info *get_type_info(const std::type_info& tinfo, bool throw_if_missing = true) {
+ auto it = registered_dtypes.find(std::type_index(tinfo));
+ if (it != registered_dtypes.end())
+ return &(it->second);
+ if (throw_if_missing)
+ pybind11_fail(std::string("NumPy type info missing for ") + tinfo.name());
+ return nullptr;
+ }
+
+ template<typename T> numpy_type_info *get_type_info(bool throw_if_missing = true) {
+ return get_type_info(typeid(typename std::remove_cv<T>::type), throw_if_missing);
+ }
+};
+
+inline PYBIND11_NOINLINE void load_numpy_internals(numpy_internals* &ptr) {
+ ptr = &get_or_create_shared_data<numpy_internals>("_numpy_internals");
+}
+
+inline numpy_internals& get_numpy_internals() {
+ static numpy_internals* ptr = nullptr;
+ if (!ptr)
+ load_numpy_internals(ptr);
+ return *ptr;
+}
+
+struct npy_api {
+ enum constants {
+ NPY_C_CONTIGUOUS_ = 0x0001,
+ NPY_F_CONTIGUOUS_ = 0x0002,
+ NPY_ARRAY_OWNDATA_ = 0x0004,
+ NPY_ARRAY_FORCECAST_ = 0x0010,
+ NPY_ENSURE_ARRAY_ = 0x0040,
+ NPY_ARRAY_ALIGNED_ = 0x0100,
+ NPY_ARRAY_WRITEABLE_ = 0x0400,
+ NPY_BOOL_ = 0,
+ NPY_BYTE_, NPY_UBYTE_,
+ NPY_SHORT_, NPY_USHORT_,
+ NPY_INT_, NPY_UINT_,
+ NPY_LONG_, NPY_ULONG_,
+ NPY_LONGLONG_, NPY_ULONGLONG_,
+ NPY_FLOAT_, NPY_DOUBLE_, NPY_LONGDOUBLE_,
+ NPY_CFLOAT_, NPY_CDOUBLE_, NPY_CLONGDOUBLE_,
+ NPY_OBJECT_ = 17,
+ NPY_STRING_, NPY_UNICODE_, NPY_VOID_
+ };
+
+ static npy_api& get() {
+ static npy_api api = lookup();
+ return api;
+ }
+
+ bool PyArray_Check_(PyObject *obj) const {
+ return (bool) PyObject_TypeCheck(obj, PyArray_Type_);
+ }
+ bool PyArrayDescr_Check_(PyObject *obj) const {
+ return (bool) PyObject_TypeCheck(obj, PyArrayDescr_Type_);
+ }
+
+ PyObject *(*PyArray_DescrFromType_)(int);
+ PyObject *(*PyArray_NewFromDescr_)
+ (PyTypeObject *, PyObject *, int, Py_intptr_t *,
+ Py_intptr_t *, void *, int, PyObject *);
+ PyObject *(*PyArray_DescrNewFromType_)(int);
+ PyObject *(*PyArray_NewCopy_)(PyObject *, int);
+ PyTypeObject *PyArray_Type_;
+ PyTypeObject *PyVoidArrType_Type_;
+ PyTypeObject *PyArrayDescr_Type_;
+ PyObject *(*PyArray_DescrFromScalar_)(PyObject *);
+ PyObject *(*PyArray_FromAny_) (PyObject *, PyObject *, int, int, int, PyObject *);
+ int (*PyArray_DescrConverter_) (PyObject *, PyObject **);
+ bool (*PyArray_EquivTypes_) (PyObject *, PyObject *);
+ int (*PyArray_GetArrayParamsFromObject_)(PyObject *, PyObject *, char, PyObject **, int *,
+ Py_ssize_t *, PyObject **, PyObject *);
+ PyObject *(*PyArray_Squeeze_)(PyObject *);
+private:
+ enum functions {
+ API_PyArray_Type = 2,
+ API_PyArrayDescr_Type = 3,
+ API_PyVoidArrType_Type = 39,
+ API_PyArray_DescrFromType = 45,
+ API_PyArray_DescrFromScalar = 57,
+ API_PyArray_FromAny = 69,
+ API_PyArray_NewCopy = 85,
+ API_PyArray_NewFromDescr = 94,
+ API_PyArray_DescrNewFromType = 9,
+ API_PyArray_DescrConverter = 174,
+ API_PyArray_EquivTypes = 182,
+ API_PyArray_GetArrayParamsFromObject = 278,
+ API_PyArray_Squeeze = 136
+ };
+
+ static npy_api lookup() {
+ module m = module::import("numpy.core.multiarray");
+ auto c = m.attr("_ARRAY_API");
+#if PY_MAJOR_VERSION >= 3
+ void **api_ptr = (void **) PyCapsule_GetPointer(c.ptr(), NULL);
+#else
+ void **api_ptr = (void **) PyCObject_AsVoidPtr(c.ptr());
+#endif
+ npy_api api;
+#define DECL_NPY_API(Func) api.Func##_ = (decltype(api.Func##_)) api_ptr[API_##Func];
+ DECL_NPY_API(PyArray_Type);
+ DECL_NPY_API(PyVoidArrType_Type);
+ DECL_NPY_API(PyArrayDescr_Type);
+ DECL_NPY_API(PyArray_DescrFromType);
+ DECL_NPY_API(PyArray_DescrFromScalar);
+ DECL_NPY_API(PyArray_FromAny);
+ DECL_NPY_API(PyArray_NewCopy);
+ DECL_NPY_API(PyArray_NewFromDescr);
+ DECL_NPY_API(PyArray_DescrNewFromType);
+ DECL_NPY_API(PyArray_DescrConverter);
+ DECL_NPY_API(PyArray_EquivTypes);
+ DECL_NPY_API(PyArray_GetArrayParamsFromObject);
+ DECL_NPY_API(PyArray_Squeeze);
+#undef DECL_NPY_API
+ return api;
+ }
+};
+
+inline PyArray_Proxy* array_proxy(void* ptr) {
+ return reinterpret_cast<PyArray_Proxy*>(ptr);
+}
+
+inline const PyArray_Proxy* array_proxy(const void* ptr) {
+ return reinterpret_cast<const PyArray_Proxy*>(ptr);
+}
+
+inline PyArrayDescr_Proxy* array_descriptor_proxy(PyObject* ptr) {
+ return reinterpret_cast<PyArrayDescr_Proxy*>(ptr);
+}
+
+inline const PyArrayDescr_Proxy* array_descriptor_proxy(const PyObject* ptr) {
+ return reinterpret_cast<const PyArrayDescr_Proxy*>(ptr);
+}
+
+inline bool check_flags(const void* ptr, int flag) {
+ return (flag == (array_proxy(ptr)->flags & flag));
+}
+
+NAMESPACE_END(detail)
+
+class dtype : public object {
+public:
+ PYBIND11_OBJECT_DEFAULT(dtype, object, detail::npy_api::get().PyArrayDescr_Check_);
+
+ explicit dtype(const buffer_info &info) {
+ dtype descr(_dtype_from_pep3118()(PYBIND11_STR_TYPE(info.format)));
+ // If info.itemsize == 0, use the value calculated from the format string
+ m_ptr = descr.strip_padding(info.itemsize ? info.itemsize : descr.itemsize()).release().ptr();
+ }
+
+ explicit dtype(const std::string &format) {
+ m_ptr = from_args(pybind11::str(format)).release().ptr();
+ }
+
+ dtype(const char *format) : dtype(std::string(format)) { }
+
+ dtype(list names, list formats, list offsets, size_t itemsize) {
+ dict args;
+ args["names"] = names;
+ args["formats"] = formats;
+ args["offsets"] = offsets;
+ args["itemsize"] = pybind11::int_(itemsize);
+ m_ptr = from_args(args).release().ptr();
+ }
+
+ /// This is essentially the same as calling numpy.dtype(args) in Python.
+ static dtype from_args(object args) {
+ PyObject *ptr = nullptr;
+ if (!detail::npy_api::get().PyArray_DescrConverter_(args.release().ptr(), &ptr) || !ptr)
+ throw error_already_set();
+ return reinterpret_steal<dtype>(ptr);
+ }
+
+ /// Return dtype associated with a C++ type.
+ template <typename T> static dtype of() {
+ return detail::npy_format_descriptor<typename std::remove_cv<T>::type>::dtype();
+ }
+
+ /// Size of the data type in bytes.
+ size_t itemsize() const {
+ return (size_t) detail::array_descriptor_proxy(m_ptr)->elsize;
+ }
+
+ /// Returns true for structured data types.
+ bool has_fields() const {
+ return detail::array_descriptor_proxy(m_ptr)->names != nullptr;
+ }
+
+ /// Single-character type code.
+ char kind() const {
+ return detail::array_descriptor_proxy(m_ptr)->kind;
+ }
+
+private:
+ static object _dtype_from_pep3118() {
+ static PyObject *obj = module::import("numpy.core._internal")
+ .attr("_dtype_from_pep3118").cast<object>().release().ptr();
+ return reinterpret_borrow<object>(obj);
+ }
+
+ dtype strip_padding(size_t itemsize) {
+ // Recursively strip all void fields with empty names that are generated for
+ // padding fields (as of NumPy v1.11).
+ if (!has_fields())
+ return *this;
+
+ struct field_descr { PYBIND11_STR_TYPE name; object format; pybind11::int_ offset; };
+ std::vector<field_descr> field_descriptors;
+
+ for (auto field : attr("fields").attr("items")()) {
+ auto spec = field.cast<tuple>();
+ auto name = spec[0].cast<pybind11::str>();
+ auto format = spec[1].cast<tuple>()[0].cast<dtype>();
+ auto offset = spec[1].cast<tuple>()[1].cast<pybind11::int_>();
+ if (!len(name) && format.kind() == 'V')
+ continue;
+ field_descriptors.push_back({(PYBIND11_STR_TYPE) name, format.strip_padding(format.itemsize()), offset});
+ }
+
+ std::sort(field_descriptors.begin(), field_descriptors.end(),
+ [](const field_descr& a, const field_descr& b) {
+ return a.offset.cast<int>() < b.offset.cast<int>();
+ });
+
+ list names, formats, offsets;
+ for (auto& descr : field_descriptors) {
+ names.append(descr.name);
+ formats.append(descr.format);
+ offsets.append(descr.offset);
+ }
+ return dtype(names, formats, offsets, itemsize);
+ }
+};
+
+class array : public buffer {
+public:
+ PYBIND11_OBJECT_CVT(array, buffer, detail::npy_api::get().PyArray_Check_, raw_array)
+
+ enum {
+ c_style = detail::npy_api::NPY_C_CONTIGUOUS_,
+ f_style = detail::npy_api::NPY_F_CONTIGUOUS_,
+ forcecast = detail::npy_api::NPY_ARRAY_FORCECAST_
+ };
+
+ array() : array(0, static_cast<const double *>(nullptr)) {}
+
+ array(const pybind11::dtype &dt, const std::vector<size_t> &shape,
+ const std::vector<size_t> &strides, const void *ptr = nullptr,
+ handle base = handle()) {
+ auto& api = detail::npy_api::get();
+ auto ndim = shape.size();
+ if (shape.size() != strides.size())
+ pybind11_fail("NumPy: shape ndim doesn't match strides ndim");
+ auto descr = dt;
+
+ int flags = 0;
+ if (base && ptr) {
+ if (isinstance<array>(base))
+ /* Copy flags from base (except baseship bit) */
+ flags = reinterpret_borrow<array>(base).flags() & ~detail::npy_api::NPY_ARRAY_OWNDATA_;
+ else
+ /* Writable by default, easy to downgrade later on if needed */
+ flags = detail::npy_api::NPY_ARRAY_WRITEABLE_;
+ }
+
+ auto tmp = reinterpret_steal<object>(api.PyArray_NewFromDescr_(
+ api.PyArray_Type_, descr.release().ptr(), (int) ndim, (Py_intptr_t *) shape.data(),
+ (Py_intptr_t *) strides.data(), const_cast<void *>(ptr), flags, nullptr));
+ if (!tmp)
+ pybind11_fail("NumPy: unable to create array!");
+ if (ptr) {
+ if (base) {
+ detail::array_proxy(tmp.ptr())->base = base.inc_ref().ptr();
+ } else {
+ tmp = reinterpret_steal<object>(api.PyArray_NewCopy_(tmp.ptr(), -1 /* any order */));
+ }
+ }
+ m_ptr = tmp.release().ptr();
+ }
+
+ array(const pybind11::dtype &dt, const std::vector<size_t> &shape,
+ const void *ptr = nullptr, handle base = handle())
+ : array(dt, shape, default_strides(shape, dt.itemsize()), ptr, base) { }
+
+ array(const pybind11::dtype &dt, size_t count, const void *ptr = nullptr,
+ handle base = handle())
+ : array(dt, std::vector<size_t>{ count }, ptr, base) { }
+
+ template<typename T> array(const std::vector<size_t>& shape,
+ const std::vector<size_t>& strides,
+ const T* ptr, handle base = handle())
+ : array(pybind11::dtype::of<T>(), shape, strides, (void *) ptr, base) { }
+
+ template <typename T>
+ array(const std::vector<size_t> &shape, const T *ptr,
+ handle base = handle())
+ : array(shape, default_strides(shape, sizeof(T)), ptr, base) { }
+
+ template <typename T>
+ array(size_t count, const T *ptr, handle base = handle())
+ : array(std::vector<size_t>{ count }, ptr, base) { }
+
+ explicit array(const buffer_info &info)
+ : array(pybind11::dtype(info), info.shape, info.strides, info.ptr) { }
+
+ /// Array descriptor (dtype)
+ pybind11::dtype dtype() const {
+ return reinterpret_borrow<pybind11::dtype>(detail::array_proxy(m_ptr)->descr);
+ }
+
+ /// Total number of elements
+ size_t size() const {
+ return std::accumulate(shape(), shape() + ndim(), (size_t) 1, std::multiplies<size_t>());
+ }
+
+ /// Byte size of a single element
+ size_t itemsize() const {
+ return (size_t) detail::array_descriptor_proxy(detail::array_proxy(m_ptr)->descr)->elsize;
+ }
+
+ /// Total number of bytes
+ size_t nbytes() const {
+ return size() * itemsize();
+ }
+
+ /// Number of dimensions
+ size_t ndim() const {
+ return (size_t) detail::array_proxy(m_ptr)->nd;
+ }
+
+ /// Base object
+ object base() const {
+ return reinterpret_borrow<object>(detail::array_proxy(m_ptr)->base);
+ }
+
+ /// Dimensions of the array
+ const size_t* shape() const {
+ return reinterpret_cast<const size_t *>(detail::array_proxy(m_ptr)->dimensions);
+ }
+
+ /// Dimension along a given axis
+ size_t shape(size_t dim) const {
+ if (dim >= ndim())
+ fail_dim_check(dim, "invalid axis");
+ return shape()[dim];
+ }
+
+ /// Strides of the array
+ const size_t* strides() const {
+ return reinterpret_cast<const size_t *>(detail::array_proxy(m_ptr)->strides);
+ }
+
+ /// Stride along a given axis
+ size_t strides(size_t dim) const {
+ if (dim >= ndim())
+ fail_dim_check(dim, "invalid axis");
+ return strides()[dim];
+ }
+
+ /// Return the NumPy array flags
+ int flags() const {
+ return detail::array_proxy(m_ptr)->flags;
+ }
+
+ /// If set, the array is writeable (otherwise the buffer is read-only)
+ bool writeable() const {
+ return detail::check_flags(m_ptr, detail::npy_api::NPY_ARRAY_WRITEABLE_);
+ }
+
+ /// If set, the array owns the data (will be freed when the array is deleted)
+ bool owndata() const {
+ return detail::check_flags(m_ptr, detail::npy_api::NPY_ARRAY_OWNDATA_);
+ }
+
+ /// Pointer to the contained data. If index is not provided, points to the
+ /// beginning of the buffer. May throw if the index would lead to out of bounds access.
+ template<typename... Ix> const void* data(Ix... index) const {
+ return static_cast<const void *>(detail::array_proxy(m_ptr)->data + offset_at(index...));
+ }
+
+ /// Mutable pointer to the contained data. If index is not provided, points to the
+ /// beginning of the buffer. May throw if the index would lead to out of bounds access.
+ /// May throw if the array is not writeable.
+ template<typename... Ix> void* mutable_data(Ix... index) {
+ check_writeable();
+ return static_cast<void *>(detail::array_proxy(m_ptr)->data + offset_at(index...));
+ }
+
+ /// Byte offset from beginning of the array to a given index (full or partial).
+ /// May throw if the index would lead to out of bounds access.
+ template<typename... Ix> size_t offset_at(Ix... index) const {
+ if (sizeof...(index) > ndim())
+ fail_dim_check(sizeof...(index), "too many indices for an array");
+ return byte_offset(size_t(index)...);
+ }
+
+ size_t offset_at() const { return 0; }
+
+ /// Item count from beginning of the array to a given index (full or partial).
+ /// May throw if the index would lead to out of bounds access.
+ template<typename... Ix> size_t index_at(Ix... index) const {
+ return offset_at(index...) / itemsize();
+ }
+
+ /// Return a new view with all of the dimensions of length 1 removed
+ array squeeze() {
+ auto& api = detail::npy_api::get();
+ return reinterpret_steal<array>(api.PyArray_Squeeze_(m_ptr));
+ }
+
+ /// Ensure that the argument is a NumPy array
+ /// In case of an error, nullptr is returned and the Python error is cleared.
+ static array ensure(handle h, int ExtraFlags = 0) {
+ auto result = reinterpret_steal<array>(raw_array(h.ptr(), ExtraFlags));
+ if (!result)
+ PyErr_Clear();
+ return result;
+ }
+
+protected:
+ template<typename, typename> friend struct detail::npy_format_descriptor;
+
+ void fail_dim_check(size_t dim, const std::string& msg) const {
+ throw index_error(msg + ": " + std::to_string(dim) +
+ " (ndim = " + std::to_string(ndim()) + ")");
+ }
+
+ template<typename... Ix> size_t byte_offset(Ix... index) const {
+ check_dimensions(index...);
+ return byte_offset_unsafe(index...);
+ }
+
+ template<size_t dim = 0, typename... Ix> size_t byte_offset_unsafe(size_t i, Ix... index) const {
+ return i * strides()[dim] + byte_offset_unsafe<dim + 1>(index...);
+ }
+
+ template<size_t dim = 0> size_t byte_offset_unsafe() const { return 0; }
+
+ void check_writeable() const {
+ if (!writeable())
+ throw std::runtime_error("array is not writeable");
+ }
+
+ static std::vector<size_t> default_strides(const std::vector<size_t>& shape, size_t itemsize) {
+ auto ndim = shape.size();
+ std::vector<size_t> strides(ndim);
+ if (ndim) {
+ std::fill(strides.begin(), strides.end(), itemsize);
+ for (size_t i = 0; i < ndim - 1; i++)
+ for (size_t j = 0; j < ndim - 1 - i; j++)
+ strides[j] *= shape[ndim - 1 - i];
+ }
+ return strides;
+ }
+
+ template<typename... Ix> void check_dimensions(Ix... index) const {
+ check_dimensions_impl(size_t(0), shape(), size_t(index)...);
+ }
+
+ void check_dimensions_impl(size_t, const size_t*) const { }
+
+ template<typename... Ix> void check_dimensions_impl(size_t axis, const size_t* shape, size_t i, Ix... index) const {
+ if (i >= *shape) {
+ throw index_error(std::string("index ") + std::to_string(i) +
+ " is out of bounds for axis " + std::to_string(axis) +
+ " with size " + std::to_string(*shape));
+ }
+ check_dimensions_impl(axis + 1, shape + 1, index...);
+ }
+
+ /// Create array from any object -- always returns a new reference
+ static PyObject *raw_array(PyObject *ptr, int ExtraFlags = 0) {
+ if (ptr == nullptr)
+ return nullptr;
+ return detail::npy_api::get().PyArray_FromAny_(
+ ptr, nullptr, 0, 0, detail::npy_api::NPY_ENSURE_ARRAY_ | ExtraFlags, nullptr);
+ }
+};
+
+template <typename T, int ExtraFlags = array::forcecast> class array_t : public array {
+public:
+ array_t() : array(0, static_cast<const T *>(nullptr)) {}
+ array_t(handle h, borrowed_t) : array(h, borrowed) { }
+ array_t(handle h, stolen_t) : array(h, stolen) { }
+
+ PYBIND11_DEPRECATED("Use array_t<T>::ensure() instead")
+ array_t(handle h, bool is_borrowed) : array(raw_array_t(h.ptr()), stolen) {
+ if (!m_ptr) PyErr_Clear();
+ if (!is_borrowed) Py_XDECREF(h.ptr());
+ }
+
+ array_t(const object &o) : array(raw_array_t(o.ptr()), stolen) {
+ if (!m_ptr) throw error_already_set();
+ }
+
+ explicit array_t(const buffer_info& info) : array(info) { }
+
+ array_t(const std::vector<size_t> &shape,
+ const std::vector<size_t> &strides, const T *ptr = nullptr,
+ handle base = handle())
+ : array(shape, strides, ptr, base) { }
+
+ explicit array_t(const std::vector<size_t> &shape, const T *ptr = nullptr,
+ handle base = handle())
+ : array(shape, ptr, base) { }
+
+ explicit array_t(size_t count, const T *ptr = nullptr, handle base = handle())
+ : array(count, ptr, base) { }
+
+ constexpr size_t itemsize() const {
+ return sizeof(T);
+ }
+
+ template<typename... Ix> size_t index_at(Ix... index) const {
+ return offset_at(index...) / itemsize();
+ }
+
+ template<typename... Ix> const T* data(Ix... index) const {
+ return static_cast<const T*>(array::data(index...));
+ }
+
+ template<typename... Ix> T* mutable_data(Ix... index) {
+ return static_cast<T*>(array::mutable_data(index...));
+ }
+
+ // Reference to element at a given index
+ template<typename... Ix> const T& at(Ix... index) const {
+ if (sizeof...(index) != ndim())
+ fail_dim_check(sizeof...(index), "index dimension mismatch");
+ return *(static_cast<const T*>(array::data()) + byte_offset(size_t(index)...) / itemsize());
+ }
+
+ // Mutable reference to element at a given index
+ template<typename... Ix> T& mutable_at(Ix... index) {
+ if (sizeof...(index) != ndim())
+ fail_dim_check(sizeof...(index), "index dimension mismatch");
+ return *(static_cast<T*>(array::mutable_data()) + byte_offset(size_t(index)...) / itemsize());
+ }
+
+ /// Ensure that the argument is a NumPy array of the correct dtype.
+ /// In case of an error, nullptr is returned and the Python error is cleared.
+ static array_t ensure(handle h) {
+ auto result = reinterpret_steal<array_t>(raw_array_t(h.ptr()));
+ if (!result)
+ PyErr_Clear();
+ return result;
+ }
+
+ static bool _check(handle h) {
+ const auto &api = detail::npy_api::get();
+ return api.PyArray_Check_(h.ptr())
+ && api.PyArray_EquivTypes_(detail::array_proxy(h.ptr())->descr, dtype::of<T>().ptr());
+ }
+
+protected:
+ /// Create array from any object -- always returns a new reference
+ static PyObject *raw_array_t(PyObject *ptr) {
+ if (ptr == nullptr)
+ return nullptr;
+ return detail::npy_api::get().PyArray_FromAny_(
+ ptr, dtype::of<T>().release().ptr(), 0, 0,
+ detail::npy_api::NPY_ENSURE_ARRAY_ | ExtraFlags, nullptr);
+ }
+};
+
+template <typename T>
+struct format_descriptor<T, detail::enable_if_t<detail::is_pod_struct<T>::value>> {
+ static std::string format() {
+ return detail::npy_format_descriptor<typename std::remove_cv<T>::type>::format();
+ }
+};
+
+template <size_t N> struct format_descriptor<char[N]> {
+ static std::string format() { return std::to_string(N) + "s"; }
+};
+template <size_t N> struct format_descriptor<std::array<char, N>> {
+ static std::string format() { return std::to_string(N) + "s"; }
+};
+
+template <typename T>
+struct format_descriptor<T, detail::enable_if_t<std::is_enum<T>::value>> {
+ static std::string format() {
+ return format_descriptor<
+ typename std::remove_cv<typename std::underlying_type<T>::type>::type>::format();
+ }
+};
+
+NAMESPACE_BEGIN(detail)
+template <typename T, int ExtraFlags>
+struct pyobject_caster<array_t<T, ExtraFlags>> {
+ using type = array_t<T, ExtraFlags>;
+
+ bool load(handle src, bool /* convert */) {
+ value = type::ensure(src);
+ return static_cast<bool>(value);
+ }
+
+ static handle cast(const handle &src, return_value_policy /* policy */, handle /* parent */) {
+ return src.inc_ref();
+ }
+ PYBIND11_TYPE_CASTER(type, handle_type_name<type>::name());
+};
+
+template <typename T> struct is_std_array : std::false_type { };
+template <typename T, size_t N> struct is_std_array<std::array<T, N>> : std::true_type { };
+
+template <typename T>
+struct is_pod_struct {
+ enum { value = std::is_pod<T>::value && // offsetof only works correctly for POD types
+ !std::is_reference<T>::value &&
+ !std::is_array<T>::value &&
+ !is_std_array<T>::value &&
+ !std::is_integral<T>::value &&
+ !std::is_enum<T>::value &&
+ !std::is_same<typename std::remove_cv<T>::type, float>::value &&
+ !std::is_same<typename std::remove_cv<T>::type, double>::value &&
+ !std::is_same<typename std::remove_cv<T>::type, bool>::value &&
+ !std::is_same<typename std::remove_cv<T>::type, std::complex<float>>::value &&
+ !std::is_same<typename std::remove_cv<T>::type, std::complex<double>>::value };
+};
+
+template <typename T> struct npy_format_descriptor<T, enable_if_t<std::is_integral<T>::value>> {
+private:
+ constexpr static const int values[8] = {
+ npy_api::NPY_BYTE_, npy_api::NPY_UBYTE_, npy_api::NPY_SHORT_, npy_api::NPY_USHORT_,
+ npy_api::NPY_INT_, npy_api::NPY_UINT_, npy_api::NPY_LONGLONG_, npy_api::NPY_ULONGLONG_ };
+public:
+ enum { value = values[detail::log2(sizeof(T)) * 2 + (std::is_unsigned<T>::value ? 1 : 0)] };
+ static pybind11::dtype dtype() {
+ if (auto ptr = npy_api::get().PyArray_DescrFromType_(value))
+ return reinterpret_borrow<pybind11::dtype>(ptr);
+ pybind11_fail("Unsupported buffer format!");
+ }
+ template <typename T2 = T, enable_if_t<std::is_signed<T2>::value, int> = 0>
+ static PYBIND11_DESCR name() { return _("int") + _<sizeof(T)*8>(); }
+ template <typename T2 = T, enable_if_t<!std::is_signed<T2>::value, int> = 0>
+ static PYBIND11_DESCR name() { return _("uint") + _<sizeof(T)*8>(); }
+};
+template <typename T> constexpr const int npy_format_descriptor<
+ T, enable_if_t<std::is_integral<T>::value>>::values[8];
+
+#define DECL_FMT(Type, NumPyName, Name) template<> struct npy_format_descriptor<Type> { \
+ enum { value = npy_api::NumPyName }; \
+ static pybind11::dtype dtype() { \
+ if (auto ptr = npy_api::get().PyArray_DescrFromType_(value)) \
+ return reinterpret_borrow<pybind11::dtype>(ptr); \
+ pybind11_fail("Unsupported buffer format!"); \
+ } \
+ static PYBIND11_DESCR name() { return _(Name); } }
+DECL_FMT(float, NPY_FLOAT_, "float32");
+DECL_FMT(double, NPY_DOUBLE_, "float64");
+DECL_FMT(bool, NPY_BOOL_, "bool");
+DECL_FMT(std::complex<float>, NPY_CFLOAT_, "complex64");
+DECL_FMT(std::complex<double>, NPY_CDOUBLE_, "complex128");
+#undef DECL_FMT
+
+#define DECL_CHAR_FMT \
+ static PYBIND11_DESCR name() { return _("S") + _<N>(); } \
+ static pybind11::dtype dtype() { return pybind11::dtype(std::string("S") + std::to_string(N)); }
+template <size_t N> struct npy_format_descriptor<char[N]> { DECL_CHAR_FMT };
+template <size_t N> struct npy_format_descriptor<std::array<char, N>> { DECL_CHAR_FMT };
+#undef DECL_CHAR_FMT
+
+template<typename T> struct npy_format_descriptor<T, enable_if_t<std::is_enum<T>::value>> {
+private:
+ using base_descr = npy_format_descriptor<typename std::underlying_type<T>::type>;
+public:
+ static PYBIND11_DESCR name() { return base_descr::name(); }
+ static pybind11::dtype dtype() { return base_descr::dtype(); }
+};
+
+struct field_descriptor {
+ const char *name;
+ size_t offset;
+ size_t size;
+ size_t alignment;
+ std::string format;
+ dtype descr;
+};
+
+inline PYBIND11_NOINLINE void register_structured_dtype(
+ const std::initializer_list<field_descriptor>& fields,
+ const std::type_info& tinfo, size_t itemsize,
+ bool (*direct_converter)(PyObject *, void *&)) {
+
+ auto& numpy_internals = get_numpy_internals();
+ if (numpy_internals.get_type_info(tinfo, false))
+ pybind11_fail("NumPy: dtype is already registered");
+
+ list names, formats, offsets;
+ for (auto field : fields) {
+ if (!field.descr)
+ pybind11_fail(std::string("NumPy: unsupported field dtype: `") +
+ field.name + "` @ " + tinfo.name());
+ names.append(PYBIND11_STR_TYPE(field.name));
+ formats.append(field.descr);
+ offsets.append(pybind11::int_(field.offset));
+ }
+ auto dtype_ptr = pybind11::dtype(names, formats, offsets, itemsize).release().ptr();
+
+ // There is an existing bug in NumPy (as of v1.11): trailing bytes are
+ // not encoded explicitly into the format string. This will supposedly
+ // get fixed in v1.12; for further details, see these:
+ // - https://github.com/numpy/numpy/issues/7797
+ // - https://github.com/numpy/numpy/pull/7798
+ // Because of this, we won't use numpy's logic to generate buffer format
+ // strings and will just do it ourselves.
+ std::vector<field_descriptor> ordered_fields(fields);
+ std::sort(ordered_fields.begin(), ordered_fields.end(),
+ [](const field_descriptor &a, const field_descriptor &b) { return a.offset < b.offset; });
+ size_t offset = 0;
+ std::ostringstream oss;
+ oss << "T{";
+ for (auto& field : ordered_fields) {
+ if (field.offset > offset)
+ oss << (field.offset - offset) << 'x';
+ // mark unaligned fields with '='
+ if (field.offset % field.alignment)
+ oss << '=';
+ oss << field.format << ':' << field.name << ':';
+ offset = field.offset + field.size;
+ }
+ if (itemsize > offset)
+ oss << (itemsize - offset) << 'x';
+ oss << '}';
+ auto format_str = oss.str();
+
+ // Sanity check: verify that NumPy properly parses our buffer format string
+ auto& api = npy_api::get();
+ auto arr = array(buffer_info(nullptr, itemsize, format_str, 1));
+ if (!api.PyArray_EquivTypes_(dtype_ptr, arr.dtype().ptr()))
+ pybind11_fail("NumPy: invalid buffer descriptor!");
+
+ auto tindex = std::type_index(tinfo);
+ numpy_internals.registered_dtypes[tindex] = { dtype_ptr, format_str };
+ get_internals().direct_conversions[tindex].push_back(direct_converter);
+}
+
+template <typename T>
+struct npy_format_descriptor<T, enable_if_t<is_pod_struct<T>::value>> {
+ static PYBIND11_DESCR name() { return _("struct"); }
+
+ static pybind11::dtype dtype() {
+ return reinterpret_borrow<pybind11::dtype>(dtype_ptr());
+ }
+
+ static std::string format() {
+ static auto format_str = get_numpy_internals().get_type_info<T>(true)->format_str;
+ return format_str;
+ }
+
+ static void register_dtype(const std::initializer_list<field_descriptor>& fields) {
+ register_structured_dtype(fields, typeid(typename std::remove_cv<T>::type),
+ sizeof(T), &direct_converter);
+ }
+
+private:
+ static PyObject* dtype_ptr() {
+ static PyObject* ptr = get_numpy_internals().get_type_info<T>(true)->dtype_ptr;
+ return ptr;
+ }
+
+ static bool direct_converter(PyObject *obj, void*& value) {
+ auto& api = npy_api::get();
+ if (!PyObject_TypeCheck(obj, api.PyVoidArrType_Type_))
+ return false;
+ if (auto descr = reinterpret_steal<object>(api.PyArray_DescrFromScalar_(obj))) {
+ if (api.PyArray_EquivTypes_(dtype_ptr(), descr.ptr())) {
+ value = ((PyVoidScalarObject_Proxy *) obj)->obval;
+ return true;
+ }
+ }
+ return false;
+ }
+};
+
+#define PYBIND11_FIELD_DESCRIPTOR_EX(T, Field, Name) \
+ ::pybind11::detail::field_descriptor { \
+ Name, offsetof(T, Field), sizeof(decltype(std::declval<T>().Field)), \
+ alignof(decltype(std::declval<T>().Field)), \
+ ::pybind11::format_descriptor<decltype(std::declval<T>().Field)>::format(), \
+ ::pybind11::detail::npy_format_descriptor<decltype(std::declval<T>().Field)>::dtype() \
+ }
+
+// Extract name, offset and format descriptor for a struct field
+#define PYBIND11_FIELD_DESCRIPTOR(T, Field) PYBIND11_FIELD_DESCRIPTOR_EX(T, Field, #Field)
+
+// The main idea of this macro is borrowed from https://github.com/swansontec/map-macro
+// (C) William Swanson, Paul Fultz
+#define PYBIND11_EVAL0(...) __VA_ARGS__
+#define PYBIND11_EVAL1(...) PYBIND11_EVAL0 (PYBIND11_EVAL0 (PYBIND11_EVAL0 (__VA_ARGS__)))
+#define PYBIND11_EVAL2(...) PYBIND11_EVAL1 (PYBIND11_EVAL1 (PYBIND11_EVAL1 (__VA_ARGS__)))
+#define PYBIND11_EVAL3(...) PYBIND11_EVAL2 (PYBIND11_EVAL2 (PYBIND11_EVAL2 (__VA_ARGS__)))
+#define PYBIND11_EVAL4(...) PYBIND11_EVAL3 (PYBIND11_EVAL3 (PYBIND11_EVAL3 (__VA_ARGS__)))
+#define PYBIND11_EVAL(...) PYBIND11_EVAL4 (PYBIND11_EVAL4 (PYBIND11_EVAL4 (__VA_ARGS__)))
+#define PYBIND11_MAP_END(...)
+#define PYBIND11_MAP_OUT
+#define PYBIND11_MAP_COMMA ,
+#define PYBIND11_MAP_GET_END() 0, PYBIND11_MAP_END
+#define PYBIND11_MAP_NEXT0(test, next, ...) next PYBIND11_MAP_OUT
+#define PYBIND11_MAP_NEXT1(test, next) PYBIND11_MAP_NEXT0 (test, next, 0)
+#define PYBIND11_MAP_NEXT(test, next) PYBIND11_MAP_NEXT1 (PYBIND11_MAP_GET_END test, next)
+#ifdef _MSC_VER // MSVC is not as eager to expand macros, hence this workaround
+#define PYBIND11_MAP_LIST_NEXT1(test, next) \
+ PYBIND11_EVAL0 (PYBIND11_MAP_NEXT0 (test, PYBIND11_MAP_COMMA next, 0))
+#else
+#define PYBIND11_MAP_LIST_NEXT1(test, next) \
+ PYBIND11_MAP_NEXT0 (test, PYBIND11_MAP_COMMA next, 0)
+#endif
+#define PYBIND11_MAP_LIST_NEXT(test, next) \
+ PYBIND11_MAP_LIST_NEXT1 (PYBIND11_MAP_GET_END test, next)
+#define PYBIND11_MAP_LIST0(f, t, x, peek, ...) \
+ f(t, x) PYBIND11_MAP_LIST_NEXT (peek, PYBIND11_MAP_LIST1) (f, t, peek, __VA_ARGS__)
+#define PYBIND11_MAP_LIST1(f, t, x, peek, ...) \
+ f(t, x) PYBIND11_MAP_LIST_NEXT (peek, PYBIND11_MAP_LIST0) (f, t, peek, __VA_ARGS__)
+// PYBIND11_MAP_LIST(f, t, a1, a2, ...) expands to f(t, a1), f(t, a2), ...
+#define PYBIND11_MAP_LIST(f, t, ...) \
+ PYBIND11_EVAL (PYBIND11_MAP_LIST1 (f, t, __VA_ARGS__, (), 0))
+
+#define PYBIND11_NUMPY_DTYPE(Type, ...) \
+ ::pybind11::detail::npy_format_descriptor<Type>::register_dtype \
+ ({PYBIND11_MAP_LIST (PYBIND11_FIELD_DESCRIPTOR, Type, __VA_ARGS__)})
+
+#ifdef _MSC_VER
+#define PYBIND11_MAP2_LIST_NEXT1(test, next) \
+ PYBIND11_EVAL0 (PYBIND11_MAP_NEXT0 (test, PYBIND11_MAP_COMMA next, 0))
+#else
+#define PYBIND11_MAP2_LIST_NEXT1(test, next) \
+ PYBIND11_MAP_NEXT0 (test, PYBIND11_MAP_COMMA next, 0)
+#endif
+#define PYBIND11_MAP2_LIST_NEXT(test, next) \
+ PYBIND11_MAP2_LIST_NEXT1 (PYBIND11_MAP_GET_END test, next)
+#define PYBIND11_MAP2_LIST0(f, t, x1, x2, peek, ...) \
+ f(t, x1, x2) PYBIND11_MAP2_LIST_NEXT (peek, PYBIND11_MAP2_LIST1) (f, t, peek, __VA_ARGS__)
+#define PYBIND11_MAP2_LIST1(f, t, x1, x2, peek, ...) \
+ f(t, x1, x2) PYBIND11_MAP2_LIST_NEXT (peek, PYBIND11_MAP2_LIST0) (f, t, peek, __VA_ARGS__)
+// PYBIND11_MAP2_LIST(f, t, a1, a2, ...) expands to f(t, a1, a2), f(t, a3, a4), ...
+#define PYBIND11_MAP2_LIST(f, t, ...) \
+ PYBIND11_EVAL (PYBIND11_MAP2_LIST1 (f, t, __VA_ARGS__, (), 0))
+
+#define PYBIND11_NUMPY_DTYPE_EX(Type, ...) \
+ ::pybind11::detail::npy_format_descriptor<Type>::register_dtype \
+ ({PYBIND11_MAP2_LIST (PYBIND11_FIELD_DESCRIPTOR_EX, Type, __VA_ARGS__)})
+
+template <class T>
+using array_iterator = typename std::add_pointer<T>::type;
+
+template <class T>
+array_iterator<T> array_begin(const buffer_info& buffer) {
+ return array_iterator<T>(reinterpret_cast<T*>(buffer.ptr));
+}
+
+template <class T>
+array_iterator<T> array_end(const buffer_info& buffer) {
+ return array_iterator<T>(reinterpret_cast<T*>(buffer.ptr) + buffer.size);
+}
+
+class common_iterator {
+public:
+ using container_type = std::vector<size_t>;
+ using value_type = container_type::value_type;
+ using size_type = container_type::size_type;
+
+ common_iterator() : p_ptr(0), m_strides() {}
+
+ common_iterator(void* ptr, const container_type& strides, const std::vector<size_t>& shape)
+ : p_ptr(reinterpret_cast<char*>(ptr)), m_strides(strides.size()) {
+ m_strides.back() = static_cast<value_type>(strides.back());
+ for (size_type i = m_strides.size() - 1; i != 0; --i) {
+ size_type j = i - 1;
+ value_type s = static_cast<value_type>(shape[i]);
+ m_strides[j] = strides[j] + m_strides[i] - strides[i] * s;
+ }
+ }
+
+ void increment(size_type dim) {
+ p_ptr += m_strides[dim];
+ }
+
+ void* data() const {
+ return p_ptr;
+ }
+
+private:
+ char* p_ptr;
+ container_type m_strides;
+};
+
+template <size_t N> class multi_array_iterator {
+public:
+ using container_type = std::vector<size_t>;
+
+ multi_array_iterator(const std::array<buffer_info, N> &buffers,
+ const std::vector<size_t> &shape)
+ : m_shape(shape.size()), m_index(shape.size(), 0),
+ m_common_iterator() {
+
+ // Manual copy to avoid conversion warning if using std::copy
+ for (size_t i = 0; i < shape.size(); ++i)
+ m_shape[i] = static_cast<container_type::value_type>(shape[i]);
+
+ container_type strides(shape.size());
+ for (size_t i = 0; i < N; ++i)
+ init_common_iterator(buffers[i], shape, m_common_iterator[i], strides);
+ }
+
+ multi_array_iterator& operator++() {
+ for (size_t j = m_index.size(); j != 0; --j) {
+ size_t i = j - 1;
+ if (++m_index[i] != m_shape[i]) {
+ increment_common_iterator(i);
+ break;
+ } else {
+ m_index[i] = 0;
+ }
+ }
+ return *this;
+ }
+
+ template <size_t K, class T> const T& data() const {
+ return *reinterpret_cast<T*>(m_common_iterator[K].data());
+ }
+
+private:
+
+ using common_iter = common_iterator;
+
+ void init_common_iterator(const buffer_info &buffer,
+ const std::vector<size_t> &shape,
+ common_iter &iterator, container_type &strides) {
+ auto buffer_shape_iter = buffer.shape.rbegin();
+ auto buffer_strides_iter = buffer.strides.rbegin();
+ auto shape_iter = shape.rbegin();
+ auto strides_iter = strides.rbegin();
+
+ while (buffer_shape_iter != buffer.shape.rend()) {
+ if (*shape_iter == *buffer_shape_iter)
+ *strides_iter = static_cast<size_t>(*buffer_strides_iter);
+ else
+ *strides_iter = 0;
+
+ ++buffer_shape_iter;
+ ++buffer_strides_iter;
+ ++shape_iter;
+ ++strides_iter;
+ }
+
+ std::fill(strides_iter, strides.rend(), 0);
+ iterator = common_iter(buffer.ptr, strides, shape);
+ }
+
+ void increment_common_iterator(size_t dim) {
+ for (auto &iter : m_common_iterator)
+ iter.increment(dim);
+ }
+
+ container_type m_shape;
+ container_type m_index;
+ std::array<common_iter, N> m_common_iterator;
+};
+
+template <size_t N>
+bool broadcast(const std::array<buffer_info, N>& buffers, size_t& ndim, std::vector<size_t>& shape) {
+ ndim = std::accumulate(buffers.begin(), buffers.end(), size_t(0), [](size_t res, const buffer_info& buf) {
+ return std::max(res, buf.ndim);
+ });
+
+ shape = std::vector<size_t>(ndim, 1);
+ bool trivial_broadcast = true;
+ for (size_t i = 0; i < N; ++i) {
+ auto res_iter = shape.rbegin();
+ bool i_trivial_broadcast = (buffers[i].size == 1) || (buffers[i].ndim == ndim);
+ for (auto shape_iter = buffers[i].shape.rbegin();
+ shape_iter != buffers[i].shape.rend(); ++shape_iter, ++res_iter) {
+
+ if (*res_iter == 1)
+ *res_iter = *shape_iter;
+ else if ((*shape_iter != 1) && (*res_iter != *shape_iter))
+ pybind11_fail("pybind11::vectorize: incompatible size/dimension of inputs!");
+
+ i_trivial_broadcast = i_trivial_broadcast && (*res_iter == *shape_iter);
+ }
+ trivial_broadcast = trivial_broadcast && i_trivial_broadcast;
+ }
+ return trivial_broadcast;
+}
+
+template <typename Func, typename Return, typename... Args>
+struct vectorize_helper {
+ typename std::remove_reference<Func>::type f;
+
+ template <typename T>
+ explicit vectorize_helper(T&&f) : f(std::forward<T>(f)) { }
+
+ object operator()(array_t<Args, array::c_style | array::forcecast>... args) {
+ return run(args..., make_index_sequence<sizeof...(Args)>());
+ }
+
+ template <size_t ... Index> object run(array_t<Args, array::c_style | array::forcecast>&... args, index_sequence<Index...> index) {
+ /* Request buffers from all parameters */
+ const size_t N = sizeof...(Args);
+
+ std::array<buffer_info, N> buffers {{ args.request()... }};
+
+ /* Determine dimensions parameters of output array */
+ size_t ndim = 0;
+ std::vector<size_t> shape(0);
+ bool trivial_broadcast = broadcast(buffers, ndim, shape);
+
+ size_t size = 1;
+ std::vector<size_t> strides(ndim);
+ if (ndim > 0) {
+ strides[ndim-1] = sizeof(Return);
+ for (size_t i = ndim - 1; i > 0; --i) {
+ strides[i - 1] = strides[i] * shape[i];
+ size *= shape[i];
+ }
+ size *= shape[0];
+ }
+
+ if (size == 1)
+ return cast(f(*((Args *) buffers[Index].ptr)...));
+
+ array_t<Return> result(shape, strides);
+ auto buf = result.request();
+ auto output = (Return *) buf.ptr;
+
+ if (trivial_broadcast) {
+ /* Call the function */
+ for (size_t i = 0; i < size; ++i) {
+ output[i] = f((buffers[Index].size == 1
+ ? *((Args *) buffers[Index].ptr)
+ : ((Args *) buffers[Index].ptr)[i])...);
+ }
+ } else {
+ apply_broadcast<N, Index...>(buffers, buf, index);
+ }
+
+ return result;
+ }
+
+ template <size_t N, size_t... Index>
+ void apply_broadcast(const std::array<buffer_info, N> &buffers,
+ buffer_info &output, index_sequence<Index...>) {
+ using input_iterator = multi_array_iterator<N>;
+ using output_iterator = array_iterator<Return>;
+
+ input_iterator input_iter(buffers, output.shape);
+ output_iterator output_end = array_end<Return>(output);
+
+ for (output_iterator iter = array_begin<Return>(output);
+ iter != output_end; ++iter, ++input_iter) {
+ *iter = f((input_iter.template data<Index, Args>())...);
+ }
+ }
+};
+
+template <typename T, int Flags> struct handle_type_name<array_t<T, Flags>> {
+ static PYBIND11_DESCR name() { return _("numpy.ndarray[") + type_caster<T>::name() + _("]"); }
+};
+
+NAMESPACE_END(detail)
+
+template <typename Func, typename Return, typename... Args>
+detail::vectorize_helper<Func, Return, Args...> vectorize(const Func &f, Return (*) (Args ...)) {
+ return detail::vectorize_helper<Func, Return, Args...>(f);
+}
+
+template <typename Return, typename... Args>
+detail::vectorize_helper<Return (*) (Args ...), Return, Args...> vectorize(Return (*f) (Args ...)) {
+ return vectorize<Return (*) (Args ...), Return, Args...>(f, f);
+}
+
+template <typename Func>
+auto vectorize(Func &&f) -> decltype(
+ vectorize(std::forward<Func>(f), (typename detail::remove_class<decltype(&std::remove_reference<Func>::type::operator())>::type *) nullptr)) {
+ return vectorize(std::forward<Func>(f), (typename detail::remove_class<decltype(
+ &std::remove_reference<Func>::type::operator())>::type *) nullptr);
+}
+
+NAMESPACE_END(pybind11)
+
+#if defined(_MSC_VER)
+#pragma warning(pop)
+#endif