from libc.math cimport sqrt, exp

from sklearn.utils._typedefs cimport float64_t, float32_t, int32_t, intp_t

cdef class DistanceMetric:
    pass

######################################################################
# Inline distance functions
#
#  We use these for the default (euclidean) case so that they can be
#  inlined.  This leads to faster computation for the most common case
cdef inline float64_t euclidean_dist64(
    const float64_t* x1,
    const float64_t* x2,
    intp_t size,
) except -1 nogil:
    cdef float64_t tmp, d=0
    cdef intp_t j
    for j in range(size):
        tmp = <float64_t> (x1[j] - x2[j])
        d += tmp * tmp
    return sqrt(d)


cdef inline float64_t euclidean_rdist64(
    const float64_t* x1,
    const float64_t* x2,
    intp_t size,
) except -1 nogil:
    cdef float64_t tmp, d=0
    cdef intp_t j
    for j in range(size):
        tmp = <float64_t>(x1[j] - x2[j])
        d += tmp * tmp
    return d


cdef inline float64_t euclidean_dist_to_rdist64(const float64_t dist) except -1 nogil:
    return dist * dist


cdef inline float64_t euclidean_rdist_to_dist64(const float64_t dist) except -1 nogil:
    return sqrt(dist)


######################################################################
# DistanceMetric64 base class
cdef class DistanceMetric64(DistanceMetric):
    # The following attributes are required for a few of the subclasses.
    # we must define them here so that cython's limited polymorphism will work.
    # Because we don't expect to instantiate a lot of these objects, the
    # extra memory overhead of this setup should not be an issue.
    cdef float64_t p
    cdef const float64_t[::1] vec
    cdef const float64_t[:, ::1] mat
    cdef intp_t size
    cdef object func
    cdef object kwargs

    cdef float64_t dist(
        self,
        const float64_t* x1,
        const float64_t* x2,
        intp_t size,
    ) except -1 nogil

    cdef float64_t rdist(
        self,
        const float64_t* x1,
        const float64_t* x2,
        intp_t size,
    ) except -1 nogil

    cdef float64_t dist_csr(
        self,
        const float64_t* x1_data,
        const int32_t* x1_indices,
        const float64_t* x2_data,
        const int32_t* x2_indices,
        const int32_t x1_start,
        const int32_t x1_end,
        const int32_t x2_start,
        const int32_t x2_end,
        const intp_t size,
    ) except -1 nogil

    cdef float64_t rdist_csr(
        self,
        const float64_t* x1_data,
        const int32_t* x1_indices,
        const float64_t* x2_data,
        const int32_t* x2_indices,
        const int32_t x1_start,
        const int32_t x1_end,
        const int32_t x2_start,
        const int32_t x2_end,
        const intp_t size,
    ) except -1 nogil

    cdef int pdist(
        self,
        const float64_t[:, ::1] X,
        float64_t[:, ::1] D,
    ) except -1

    cdef int cdist(
        self,
        const float64_t[:, ::1] X,
        const float64_t[:, ::1] Y,
        float64_t[:, ::1] D,
    ) except -1

    cdef int pdist_csr(
        self,
        const float64_t* x1_data,
        const int32_t[::1] x1_indices,
        const int32_t[::1] x1_indptr,
        const intp_t size,
        float64_t[:, ::1] D,
    ) except -1 nogil

    cdef int cdist_csr(
        self,
        const float64_t* x1_data,
        const int32_t[::1] x1_indices,
        const int32_t[::1] x1_indptr,
        const float64_t* x2_data,
        const int32_t[::1] x2_indices,
        const int32_t[::1] x2_indptr,
        const intp_t size,
        float64_t[:, ::1] D,
    ) except -1 nogil

    cdef float64_t _rdist_to_dist(self, float64_t rdist) except -1 nogil

    cdef float64_t _dist_to_rdist(self, float64_t dist) except -1 nogil

######################################################################
# Inline distance functions
#
#  We use these for the default (euclidean) case so that they can be
#  inlined.  This leads to faster computation for the most common case
cdef inline float64_t euclidean_dist32(
    const float32_t* x1,
    const float32_t* x2,
    intp_t size,
) except -1 nogil:
    cdef float64_t tmp, d=0
    cdef intp_t j
    for j in range(size):
        tmp = <float64_t> (x1[j] - x2[j])
        d += tmp * tmp
    return sqrt(d)


cdef inline float64_t euclidean_rdist32(
    const float32_t* x1,
    const float32_t* x2,
    intp_t size,
) except -1 nogil:
    cdef float64_t tmp, d=0
    cdef intp_t j
    for j in range(size):
        tmp = <float64_t>(x1[j] - x2[j])
        d += tmp * tmp
    return d


cdef inline float64_t euclidean_dist_to_rdist32(const float32_t dist) except -1 nogil:
    return dist * dist


cdef inline float64_t euclidean_rdist_to_dist32(const float32_t dist) except -1 nogil:
    return sqrt(dist)


######################################################################
# DistanceMetric32 base class
cdef class DistanceMetric32(DistanceMetric):
    # The following attributes are required for a few of the subclasses.
    # we must define them here so that cython's limited polymorphism will work.
    # Because we don't expect to instantiate a lot of these objects, the
    # extra memory overhead of this setup should not be an issue.
    cdef float64_t p
    cdef const float64_t[::1] vec
    cdef const float64_t[:, ::1] mat
    cdef intp_t size
    cdef object func
    cdef object kwargs

    cdef float32_t dist(
        self,
        const float32_t* x1,
        const float32_t* x2,
        intp_t size,
    ) except -1 nogil

    cdef float32_t rdist(
        self,
        const float32_t* x1,
        const float32_t* x2,
        intp_t size,
    ) except -1 nogil

    cdef float32_t dist_csr(
        self,
        const float32_t* x1_data,
        const int32_t* x1_indices,
        const float32_t* x2_data,
        const int32_t* x2_indices,
        const int32_t x1_start,
        const int32_t x1_end,
        const int32_t x2_start,
        const int32_t x2_end,
        const intp_t size,
    ) except -1 nogil

    cdef float32_t rdist_csr(
        self,
        const float32_t* x1_data,
        const int32_t* x1_indices,
        const float32_t* x2_data,
        const int32_t* x2_indices,
        const int32_t x1_start,
        const int32_t x1_end,
        const int32_t x2_start,
        const int32_t x2_end,
        const intp_t size,
    ) except -1 nogil

    cdef int pdist(
        self,
        const float32_t[:, ::1] X,
        float32_t[:, ::1] D,
    ) except -1

    cdef int cdist(
        self,
        const float32_t[:, ::1] X,
        const float32_t[:, ::1] Y,
        float32_t[:, ::1] D,
    ) except -1

    cdef int pdist_csr(
        self,
        const float32_t* x1_data,
        const int32_t[::1] x1_indices,
        const int32_t[::1] x1_indptr,
        const intp_t size,
        float32_t[:, ::1] D,
    ) except -1 nogil

    cdef int cdist_csr(
        self,
        const float32_t* x1_data,
        const int32_t[::1] x1_indices,
        const int32_t[::1] x1_indptr,
        const float32_t* x2_data,
        const int32_t[::1] x2_indices,
        const int32_t[::1] x2_indptr,
        const intp_t size,
        float32_t[:, ::1] D,
    ) except -1 nogil

    cdef float32_t _rdist_to_dist(self, float32_t rdist) except -1 nogil

    cdef float32_t _dist_to_rdist(self, float32_t dist) except -1 nogil