ENH: Add PCG64DXSM implementation.

11 files changed, 2388 insertions, 7 deletions

diff --git a/numpy/random/__init__.py b/numpy/random/__init__.py
index 7efa5c07f..2e8f99fe3 100644
--- a/numpy/random/__init__.py
+++ b/numpy/random/__init__.py
@@ -17,6 +17,7 @@ BitGenerator Streams that work with Generator
 --------------------------------------------- ---
 MT19937
 PCG64
+PCG64DXSM
 Philox
 SFC64
 ============================================= ===
@@ -183,13 +184,14 @@ from . import _bounded_integers
 from ._generator import Generator, default_rng
 from .bit_generator import SeedSequence, BitGenerator
 from ._mt19937 import MT19937
-from ._pcg64 import PCG64
+from ._pcg64 import PCG64, PCG64DXSM
 from ._philox import Philox
 from ._sfc64 import SFC64
 from .mtrand import *
 
 __all__ += ['Generator', 'RandomState', 'SeedSequence', 'MT19937',
-            'Philox', 'PCG64', 'SFC64', 'default_rng', 'BitGenerator']
+            'Philox', 'PCG64', 'PCG64DXSM', 'SFC64', 'default_rng',
+            'BitGenerator']
 
 
 def __RandomState_ctor():
diff --git a/numpy/random/__init__.pyi b/numpy/random/__init__.pyi
index 1187b7d8e..48b620c48 100644
--- a/numpy/random/__init__.pyi
+++ b/numpy/random/__init__.pyi
@@ -3,7 +3,10 @@ from typing import List
 from numpy.random._generator import Generator as Generator
 from numpy.random._generator import default_rng as default_rng
 from numpy.random._mt19937 import MT19937 as MT19937
-from numpy.random._pcg64 import PCG64 as PCG64
+from numpy.random._pcg64 import (
+    PCG64 as PCG64,
+    PCG64DXSM as PCG64DXSM,
+)
 from numpy.random._philox import Philox as Philox
 from numpy.random._sfc64 import SFC64 as SFC64
 from numpy.random.bit_generator import BitGenerator as BitGenerator
diff --git a/numpy/random/_pcg64.pyi b/numpy/random/_pcg64.pyi
index a4f6e0760..25e2fdde6 100644
--- a/numpy/random/_pcg64.pyi
+++ b/numpy/random/_pcg64.pyi
@@ -32,3 +32,17 @@ class PCG64(BitGenerator):
         value: _PCG64State,
     ) -> None: ...
     def advance(self, delta: int) -> PCG64: ...
+
+class PCG64DXSM(BitGenerator):
+    def __init__(self, seed: Union[None, _ArrayLikeInt_co, SeedSequence] = ...) -> None: ...
+    def jumped(self, jumps: int = ...) -> PCG64DXSM: ...
+    @property
+    def state(
+        self,
+    ) -> _PCG64State: ...
+    @state.setter
+    def state(
+        self,
+        value: _PCG64State,
+    ) -> None: ...
+    def advance(self, delta: int) -> PCG64DXSM: ...
diff --git a/numpy/random/_pcg64.pyx b/numpy/random/_pcg64.pyx
index 605aae4bc..aaa79b304 100644
--- a/numpy/random/_pcg64.pyx
+++ b/numpy/random/_pcg64.pyx
@@ -26,6 +26,10 @@ cdef extern from "src/pcg64/pcg64.h":
     void pcg64_get_state(pcg64_state *state, uint64_t *state_arr, int *has_uint32, uint32_t *uinteger)
     void pcg64_set_state(pcg64_state *state, uint64_t *state_arr, int has_uint32, uint32_t uinteger)
 
+    uint64_t pcg64_cm_next64(pcg64_state *state)  nogil
+    uint32_t pcg64_cm_next32(pcg64_state *state)  nogil
+    void pcg64_cm_advance(pcg64_state *state, uint64_t *step)
+
 cdef uint64_t pcg64_uint64(void* st) nogil:
     return pcg64_next64(<pcg64_state *>st)
 
@@ -35,6 +39,14 @@ cdef uint32_t pcg64_uint32(void *st) nogil:
 cdef double pcg64_double(void* st) nogil:
     return uint64_to_double(pcg64_next64(<pcg64_state *>st))
 
+cdef uint64_t pcg64_cm_uint64(void* st) nogil:
+    return pcg64_cm_next64(<pcg64_state *>st)
+
+cdef uint32_t pcg64_cm_uint32(void *st) nogil:
+    return pcg64_cm_next32(<pcg64_state *> st)
+
+cdef double pcg64_cm_double(void* st) nogil:
+    return uint64_to_double(pcg64_cm_next64(<pcg64_state *>st))
 
 cdef class PCG64(BitGenerator):
     """
@@ -268,3 +280,236 @@ cdef class PCG64(BitGenerator):
         pcg64_advance(&self.rng_state, <uint64_t *>np.PyArray_DATA(d))
         self._reset_state_variables()
         return self
+
+
+cdef class PCG64DXSM(BitGenerator):
+    """
+    PCG64DXSM(seed=None)
+
+    BitGenerator for the PCG-64 DXSM pseudo-random number generator.
+
+    Parameters
+    ----------
+    seed : {None, int, array_like[ints], SeedSequence}, optional
+        A seed to initialize the `BitGenerator`. If None, then fresh,
+        unpredictable entropy will be pulled from the OS. If an ``int`` or
+        ``array_like[ints]`` is passed, then it will be passed to
+        `SeedSequence` to derive the initial `BitGenerator` state. One may also
+        pass in a `SeedSequence` instance.
+
+    Notes
+    -----
+    PCG-64 DXSM is a 128-bit implementation of O'Neill's permutation congruential
+    generator ([1]_, [2]_). PCG-64 DXSM has a period of :math:`2^{128}` and supports
+    advancing an arbitrary number of steps as well as :math:`2^{127}` streams.
+    The specific member of the PCG family that we use is PCG DXSM 128/64.
+
+    ``PCG64DXSM`` provides a capsule containing function pointers that produce
+    doubles, and unsigned 32 and 64- bit integers. These are not
+    directly consumable in Python and must be consumed by a ``Generator``
+    or similar object that supports low-level access.
+
+    Supports the method :meth:`advance` to advance the RNG an arbitrary number of
+    steps. The state of the PCG-64 DXSM RNG is represented by 2 128-bit unsigned
+    integers.
+
+    **State and Seeding**
+
+    The ``PCG64DXSM`` state vector consists of 2 unsigned 128-bit values,
+    which are represented externally as Python ints. One is the state of the
+    PRNG, which is advanced by a linear congruential generator (LCG). The
+    second is a fixed odd increment used in the LCG.
+
+    The input seed is processed by `SeedSequence` to generate both values. The
+    increment is not independently settable.
+
+    **Parallel Features**
+
+    The preferred way to use a BitGenerator in parallel applications is to use
+    the `SeedSequence.spawn` method to obtain entropy values, and to use these
+    to generate new BitGenerators:
+
+    >>> from numpy.random import Generator, PCG64DXSM, SeedSequence
+    >>> sg = SeedSequence(1234)
+    >>> rg = [Generator(PCG64DXSM(s)) for s in sg.spawn(10)]
+
+    **Compatibility Guarantee**
+
+    ``PCG64DXSM`` makes a guarantee that a fixed seed and will always produce
+    the same random integer stream.
+
+    References
+    ----------
+    .. [1] `"PCG, A Family of Better Random Number Generators"
+           <http://www.pcg-random.org/>`_
+    .. [2] O'Neill, Melissa E. `"PCG: A Family of Simple Fast Space-Efficient
+           Statistically Good Algorithms for Random Number Generation"
+           <https://www.cs.hmc.edu/tr/hmc-cs-2014-0905.pdf>`_
+    """
+    cdef pcg64_state rng_state
+    cdef pcg64_random_t pcg64_random_state
+
+    def __init__(self, seed=None):
+        BitGenerator.__init__(self, seed)
+        self.rng_state.pcg_state = &self.pcg64_random_state
+
+        self._bitgen.state = <void *>&self.rng_state
+        self._bitgen.next_uint64 = &pcg64_cm_uint64
+        self._bitgen.next_uint32 = &pcg64_cm_uint32
+        self._bitgen.next_double = &pcg64_cm_double
+        self._bitgen.next_raw = &pcg64_cm_uint64
+        # Seed the _bitgen
+        val = self._seed_seq.generate_state(4, np.uint64)
+        pcg64_set_seed(&self.rng_state,
+                       <uint64_t *>np.PyArray_DATA(val),
+                       (<uint64_t *>np.PyArray_DATA(val) + 2))
+        self._reset_state_variables()
+
+    cdef _reset_state_variables(self):
+        self.rng_state.has_uint32 = 0
+        self.rng_state.uinteger = 0
+
+    cdef jump_inplace(self, jumps):
+        """
+        Jump state in-place
+        Not part of public API
+
+        Parameters
+        ----------
+        jumps : integer, positive
+            Number of times to jump the state of the rng.
+
+        Notes
+        -----
+        The step size is phi-1 when multiplied by 2**128 where phi is the
+        golden ratio.
+        """
+        step = 0x9e3779b97f4a7c15f39cc0605cedc835
+        self.advance(step * int(jumps))
+
+    def jumped(self, jumps=1):
+        """
+        jumped(jumps=1)
+
+        Returns a new bit generator with the state jumped.
+
+        Jumps the state as-if jumps * 210306068529402873165736369884012333109
+        random numbers have been generated.
+
+        Parameters
+        ----------
+        jumps : integer, positive
+            Number of times to jump the state of the bit generator returned
+
+        Returns
+        -------
+        bit_generator : PCG64DXSM
+            New instance of generator jumped iter times
+
+        Notes
+        -----
+        The step size is phi-1 when multiplied by 2**128 where phi is the
+        golden ratio.
+        """
+        cdef PCG64DXSM bit_generator
+
+        bit_generator = self.__class__()
+        bit_generator.state = self.state
+        bit_generator.jump_inplace(jumps)
+
+        return bit_generator
+
+    @property
+    def state(self):
+        """
+        Get or set the PRNG state
+
+        Returns
+        -------
+        state : dict
+            Dictionary containing the information required to describe the
+            state of the PRNG
+        """
+        cdef np.ndarray state_vec
+        cdef int has_uint32
+        cdef uint32_t uinteger
+
+        # state_vec is state.high, state.low, inc.high, inc.low
+        state_vec = <np.ndarray>np.empty(4, dtype=np.uint64)
+        pcg64_get_state(&self.rng_state,
+                        <uint64_t *>np.PyArray_DATA(state_vec),
+                        &has_uint32, &uinteger)
+        state = int(state_vec[0]) * 2**64 + int(state_vec[1])
+        inc = int(state_vec[2]) * 2**64 + int(state_vec[3])
+        return {'bit_generator': self.__class__.__name__,
+                'state': {'state': state, 'inc': inc},
+                'has_uint32': has_uint32,
+                'uinteger': uinteger}
+
+    @state.setter
+    def state(self, value):
+        cdef np.ndarray state_vec
+        cdef int has_uint32
+        cdef uint32_t uinteger
+        if not isinstance(value, dict):
+            raise TypeError('state must be a dict')
+        bitgen = value.get('bit_generator', '')
+        if bitgen != self.__class__.__name__:
+            raise ValueError('state must be for a {0} '
+                             'RNG'.format(self.__class__.__name__))
+        state_vec = <np.ndarray>np.empty(4, dtype=np.uint64)
+        state_vec[0] = value['state']['state'] // 2 ** 64
+        state_vec[1] = value['state']['state'] % 2 ** 64
+        state_vec[2] = value['state']['inc'] // 2 ** 64
+        state_vec[3] = value['state']['inc'] % 2 ** 64
+        has_uint32 = value['has_uint32']
+        uinteger = value['uinteger']
+        pcg64_set_state(&self.rng_state,
+                        <uint64_t *>np.PyArray_DATA(state_vec),
+                        has_uint32, uinteger)
+
+    def advance(self, delta):
+        """
+        advance(delta)
+
+        Advance the underlying RNG as-if delta draws have occurred.
+
+        Parameters
+        ----------
+        delta : integer, positive
+            Number of draws to advance the RNG. Must be less than the
+            size state variable in the underlying RNG.
+
+        Returns
+        -------
+        self : PCG64
+            RNG advanced delta steps
+
+        Notes
+        -----
+        Advancing a RNG updates the underlying RNG state as-if a given
+        number of calls to the underlying RNG have been made. In general
+        there is not a one-to-one relationship between the number output
+        random values from a particular distribution and the number of
+        draws from the core RNG.  This occurs for two reasons:
+
+        * The random values are simulated using a rejection-based method
+          and so, on average, more than one value from the underlying
+          RNG is required to generate an single draw.
+        * The number of bits required to generate a simulated value
+          differs from the number of bits generated by the underlying
+          RNG.  For example, two 16-bit integer values can be simulated
+          from a single draw of a 32-bit RNG.
+
+        Advancing the RNG state resets any pre-computed random numbers.
+        This is required to ensure exact reproducibility.
+        """
+        delta = wrap_int(delta, 128)
+
+        cdef np.ndarray d = np.empty(2, dtype=np.uint64)
+        d[0] = delta // 2**64
+        d[1] = delta % 2**64
+        pcg64_cm_advance(&self.rng_state, <uint64_t *>np.PyArray_DATA(d))
+        self._reset_state_variables()
+        return self
+
diff --git a/numpy/random/_pickle.py b/numpy/random/_pickle.py
index 71b01d6cd..a32f64f4a 100644
--- a/numpy/random/_pickle.py
+++ b/numpy/random/_pickle.py
@@ -1,6 +1,6 @@
 from .mtrand import RandomState
 from ._philox import Philox
-from ._pcg64 import PCG64
+from ._pcg64 import PCG64, PCG64DXSM
 from ._sfc64 import SFC64
 
 from ._generator import Generator
@@ -8,6 +8,7 @@ from ._mt19937 import MT19937
 
 BitGenerators = {'MT19937': MT19937,
                  'PCG64': PCG64,
+                 'PCG64DXSM': PCG64DXSM,
                  'Philox': Philox,
                  'SFC64': SFC64,
                  }
diff --git a/numpy/random/src/pcg64/pcg64.c b/numpy/random/src/pcg64/pcg64.c
index b15973aef..c623c809b 100644
--- a/numpy/random/src/pcg64/pcg64.c
+++ b/numpy/random/src/pcg64/pcg64.c
@@ -61,6 +61,10 @@ pcg_setseq_128_xsl_rr_64_boundedrand_r(pcg_state_setseq_128 *rng,
                                        uint64_t bound);
 extern inline void pcg_setseq_128_advance_r(pcg_state_setseq_128 *rng,
                                             pcg128_t delta);
+extern inline uint64_t pcg_cm_random_r(pcg_state_setseq_128 *rng);
+extern inline void pcg_cm_step_r(pcg_state_setseq_128 *rng);
+extern inline uint64_t pcg_output_cm_128_64(pcg128_t state);
+extern inline void pcg_cm_srandom_r(pcg_state_setseq_128 *rng, pcg128_t initstate, pcg128_t initseq);
 
 /* Multi-step advance functions (jump-ahead, jump-back)
  *
@@ -117,6 +121,9 @@ pcg128_t pcg_advance_lcg_128(pcg128_t state, pcg128_t delta, pcg128_t cur_mult,
 extern inline uint64_t pcg64_next64(pcg64_state *state);
 extern inline uint32_t pcg64_next32(pcg64_state *state);
 
+extern inline uint64_t pcg64_cm_next64(pcg64_state *state);
+extern inline uint32_t pcg64_cm_next32(pcg64_state *state);
+
 extern void pcg64_advance(pcg64_state *state, uint64_t *step) {
   pcg128_t delta;
 #ifndef PCG_EMULATED_128BIT_MATH
@@ -128,6 +135,17 @@ extern void pcg64_advance(pcg64_state *state, uint64_t *step) {
   pcg64_advance_r(state->pcg_state, delta);
 }
 
+extern void pcg64_cm_advance(pcg64_state *state, uint64_t *step) {
+  pcg128_t delta;
+#ifndef PCG_EMULATED_128BIT_MATH
+  delta = (((pcg128_t)step[0]) << 64) | step[1];
+#else
+  delta.high = step[0];
+  delta.low = step[1];
+#endif
+  pcg_cm_advance_r(state->pcg_state, delta);
+}
+
 extern void pcg64_set_seed(pcg64_state *state, uint64_t *seed, uint64_t *inc) {
   pcg128_t s, i;
 #ifndef PCG_EMULATED_128BIT_MATH
diff --git a/numpy/random/src/pcg64/pcg64.h b/numpy/random/src/pcg64/pcg64.h
index 31899cbc1..ea8264b01 100644
--- a/numpy/random/src/pcg64/pcg64.h
+++ b/numpy/random/src/pcg64/pcg64.h
@@ -104,6 +104,9 @@ typedef struct {
     , PCG_128BIT_CONSTANT(0x0000000000000001ULL, 0xda3e39cb94b95bdbULL)        \
   }
 
+#define PCG_CHEAP_MULTIPLIER_128 (0xda942042e4dd58b5ULL)
+
+
 static inline uint64_t pcg_rotr_64(uint64_t value, unsigned int rot) {
 #ifdef _WIN32
   return _rotr64(value, rot);
@@ -209,6 +212,37 @@ static inline uint64_t pcg_output_xsl_rr_128_64(pcg128_t state) {
                      state >> 122u);
 }
 
+static inline void pcg_cm_step_r(pcg_state_setseq_128 *rng) {
+  rng-> state = rng->state * PCG_CHEAP_MULTIPLIER_128 + rng->inc;
+}
+
+static inline uint64_t pcg_output_cm_128_64(pcg128_t state) {
+  uint64_t hi = state >> 64;
+  uint64_t lo = state;
+
+  lo |= 1;
+  hi ^= hi >> 32;
+  hi *= 0xda942042e4dd58b5ULL;
+  hi ^= hi >> 48;
+  hi *= lo;
+  return hi;
+}
+
+static inline void pcg_cm_srandom_r(pcg_state_setseq_128 *rng, pcg128_t initstate, pcg128_t initseq) {
+  rng->state = 0U;
+  rng->inc = (initseq << 1u) | 1u;
+  pcg_cm_step_r(rng);
+  rng->state += initstate;
+  pcg_cm_step_r(rng);
+}
+
+static inline uint64_t pcg_cm_random_r(pcg_state_setseq_128* rng)
+{
+    uint64_t ret = pcg_output_cm_128_64(rng->state);
+    pcg_cm_step_r(rng);
+    return ret;
+}
+
 static inline uint64_t
 pcg_setseq_128_xsl_rr_64_random_r(pcg_state_setseq_128* rng)
 {
@@ -248,6 +282,11 @@ static inline void pcg_setseq_128_advance_r(pcg_state_setseq_128 *rng,
                                    PCG_DEFAULT_MULTIPLIER_128, rng->inc);
 }
 
+static inline void pcg_cm_advance_r(pcg_state_setseq_128 *rng, pcg128_t delta) {
+    rng->state = pcg_advance_lcg_128(rng->state, delta,
+                                     PCG_CHEAP_MULTIPLIER_128, rng->inc);
+}
+
 typedef pcg_state_setseq_128 pcg64_random_t;
 #define pcg64_random_r pcg_setseq_128_xsl_rr_64_random_r
 #define pcg64_boundedrand_r pcg_setseq_128_xsl_rr_64_boundedrand_r
@@ -281,7 +320,24 @@ static inline uint32_t pcg64_next32(pcg64_state *state) {
   return (uint32_t)(next & 0xffffffff);
 }
 
+static inline uint64_t pcg64_cm_next64(pcg64_state *state) {
+  return pcg_cm_random_r(state->pcg_state);
+}
+
+static inline uint32_t pcg64_cm_next32(pcg64_state *state) {
+  uint64_t next;
+  if (state->has_uint32) {
+    state->has_uint32 = 0;
+    return state->uinteger;
+  }
+  next = pcg_cm_random_r(state->pcg_state);
+  state->has_uint32 = 1;
+  state->uinteger = (uint32_t)(next >> 32);
+  return (uint32_t)(next & 0xffffffff);
+}
+
 void pcg64_advance(pcg64_state *state, uint64_t *step);
+void pcg64_cm_advance(pcg64_state *state, uint64_t *step);
 
 void pcg64_set_seed(pcg64_state *state, uint64_t *seed, uint64_t *inc);
 
diff --git a/numpy/random/tests/data/pcg64dxsm-testset-1.csv b/numpy/random/tests/data/pcg64dxsm-testset-1.csv
new file mode 100644
index 000000000..39cef057f
--- /dev/null
+++ b/numpy/random/tests/data/pcg64dxsm-testset-1.csv
@@ -0,0 +1,1001 @@
+seed, 0xdeadbeaf
+0, 0xdf1ddcf1e22521fe
+1, 0xc71b2f9c706cf151
+2, 0x6922a8cc24ad96b2
+3, 0x82738c549beccc30
+4, 0x5e8415cdb1f17580
+5, 0x64c54ad0c09cb43
+6, 0x361a17a607dce278
+7, 0x4346f6afb7acad68
+8, 0x6e9f14d4f6398d6b
+9, 0xf818d4343f8ed822
+10, 0x6327647daf508ed6
+11, 0xe1d1dbe5496a262a
+12, 0xfc081e619076b2e0
+13, 0x37126563a956ab1
+14, 0x8bb46e155db16b9
+15, 0x56449f006c9f3fb4
+16, 0x34a9273550941803
+17, 0x5b4df62660f99462
+18, 0xb8665cad532e3018
+19, 0x72fc3e5f7f84216a
+20, 0x71d3c47f6fd59939
+21, 0xfd4218afa1de463b
+22, 0xc84054c78e0a9a71
+23, 0xae59034726be61a8
+24, 0xa6a5f21de983654d
+25, 0x3b633acf572009da
+26, 0x6a0884f347ab54c8
+27, 0x7a907ebe9adcab50
+28, 0xbe779be53d7b8d4a
+29, 0xf5976e8c69b9dcd1
+30, 0x1d8302f114699e11
+31, 0x7d37e43042c038a0
+32, 0x2cc1d4edc2a40f35
+33, 0x83e3347bb2d581f1
+34, 0x253f8698651a844d
+35, 0x4312dea0dd4e32f6
+36, 0x10f106439964ea3a
+37, 0x810eb374844868cc
+38, 0x366342a54b1978cc
+39, 0x9fb39b13aaddfb5e
+40, 0xdb91fd0d9482bed7
+41, 0x89f6ea4ca9c68204
+42, 0x146b31ccca461792
+43, 0x203fd9724deb2486
+44, 0x58a84f23748e25cb
+45, 0x2f20eb6aeb94e88
+46, 0x14d3581460e473c
+47, 0xad5bd0d25f37d047
+48, 0x1cf88fa16de258b2
+49, 0x3bcab6485b7a341
+50, 0xb2433b37f227d90c
+51, 0x2cffd7e0a8360cc8
+52, 0x5d2eeff7c9ebc847
+53, 0x6fd7c7ae23f9f64b
+54, 0x381650b2d00f175d
+55, 0x9d93edcedc873cae
+56, 0x56e369a033d4cb49
+57, 0x7547997116a3bac
+58, 0x11debaa897fd4665
+59, 0xdf799d2b73bd6fb8
+60, 0x3747d299c66624d
+61, 0xac9346701afd0cfa
+62, 0xac90e150fa13c7bf
+63, 0x85c56ad2248c2871
+64, 0xdea66bf35c45f195
+65, 0x59cf910ea079fb74
+66, 0x2f841bb782274586
+67, 0x9814df4384d92bd9
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diff --git a/numpy/random/tests/data/pcg64dxsm-testset-2.csv b/numpy/random/tests/data/pcg64dxsm-testset-2.csv
new file mode 100644
index 000000000..878c5ea7c
--- /dev/null
+++ b/numpy/random/tests/data/pcg64dxsm-testset-2.csv
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diff --git a/numpy/random/tests/test_direct.py b/numpy/random/tests/test_direct.py
index d602b36b4..29054b70b 100644
--- a/numpy/random/tests/test_direct.py
+++ b/numpy/random/tests/test_direct.py
@@ -8,8 +8,8 @@ from numpy.testing import (assert_equal, assert_allclose, assert_array_equal,
 import pytest
 
 from numpy.random import (
-    Generator, MT19937, PCG64, Philox, RandomState, SeedSequence, SFC64,
-    default_rng
+    Generator, MT19937, PCG64, PCG64DXSM, Philox, RandomState, SeedSequence,
+    SFC64, default_rng
 )
 from numpy.random._common import interface
 
@@ -359,6 +359,34 @@ class TestPCG64(Base):
         assert val_big == val_pos
 
 
+class TestPCG64DXSM(Base):
+    @classmethod
+    def setup_class(cls):
+        cls.bit_generator = PCG64DXSM
+        cls.bits = 64
+        cls.dtype = np.uint64
+        cls.data1 = cls._read_csv(join(pwd, './data/pcg64dxsm-testset-1.csv'))
+        cls.data2 = cls._read_csv(join(pwd, './data/pcg64dxsm-testset-2.csv'))
+        cls.seed_error_type = (ValueError, TypeError)
+        cls.invalid_init_types = [(3.2,), ([None],), (1, None)]
+        cls.invalid_init_values = [(-1,)]
+
+    def test_advance_symmetry(self):
+        rs = Generator(self.bit_generator(*self.data1['seed']))
+        state = rs.bit_generator.state
+        step = -0x9e3779b97f4a7c150000000000000000
+        rs.bit_generator.advance(step)
+        val_neg = rs.integers(10)
+        rs.bit_generator.state = state
+        rs.bit_generator.advance(2**128 + step)
+        val_pos = rs.integers(10)
+        rs.bit_generator.state = state
+        rs.bit_generator.advance(10 * 2**128 + step)
+        val_big = rs.integers(10)
+        assert val_neg == val_pos
+        assert val_big == val_pos
+
+
 class TestMT19937(Base):
     @classmethod
     def setup_class(cls):
diff --git a/numpy/random/tests/test_smoke.py b/numpy/random/tests/test_smoke.py
index 909bfaa8d..9becc434d 100644
--- a/numpy/random/tests/test_smoke.py
+++ b/numpy/random/tests/test_smoke.py
@@ -4,7 +4,7 @@ from functools import partial
 import numpy as np
 import pytest
 from numpy.testing import assert_equal, assert_, assert_array_equal
-from numpy.random import (Generator, MT19937, PCG64, Philox, SFC64)
+from numpy.random import (Generator, MT19937, PCG64, PCG64DXSM, Philox, SFC64)
 
 @pytest.fixture(scope='module',
                 params=(np.bool_, np.int8, np.int16, np.int32, np.int64,
@@ -774,6 +774,18 @@ class TestPCG64(RNG):
         cls._extra_setup()
 
 
+class TestPCG64DXSM(RNG):
+    @classmethod
+    def setup_class(cls):
+        cls.bit_generator = PCG64DXSM
+        cls.advance = 2**63 + 2**31 + 2**15 + 1
+        cls.seed = [12345]
+        cls.rg = Generator(cls.bit_generator(*cls.seed))
+        cls.initial_state = cls.rg.bit_generator.state
+        cls.seed_vector_bits = 64
+        cls._extra_setup()
+
+
 class TestDefaultRNG(RNG):
     @classmethod
     def setup_class(cls):