Exemple #1
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    def copy_targets_kernel(self):
        knl = lp.make_kernel(
            """{[dim,i]:
                0<=dim<ndims and
                0<=i<npoints}""",
            """
                targets[dim, i] = points[dim, i]
                """,
            default_offset=lp.auto, name="copy_targets",
            defines=dict(ndims=self.ambient_dim))

        knl = lp.split_iname(knl, "i", 128, inner_tag="l.0", outer_tag="g.0")
        knl = lp.tag_data_axes(knl, "points", "sep, C")

        knl = lp.tag_data_axes(knl, "targets", "stride:auto, stride:1")
        return lp.tag_inames(knl, dict(dim="ilp"))
Exemple #2
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def test_offsets_and_slicing(ctx_factory):
    ctx = ctx_factory()
    queue = cl.CommandQueue(ctx)

    n = 20

    knl = lp.make_kernel("{[i,j]: 0<=i<n and 0<=j<m }",
                         """
                b[i,j] = 2*a[i,j]
                """,
                         assumptions="n>=1 and m>=1",
                         default_offset=lp.auto)

    knl = lp.tag_data_axes(knl, "a,b", "stride:auto,stride:1")

    cknl = lp.CompiledKernel(ctx, knl)

    a_full = cl.clrandom.rand(queue, (n, n), np.float64)
    a_full_h = a_full.get()
    b_full = cl.clrandom.rand(queue, (n, n), np.float64)
    b_full_h = b_full.get()

    a_sub = (slice(3, 10), slice(5, 10))
    a = a_full[a_sub]

    b_sub = (slice(3 + 3, 10 + 3), slice(5 + 4, 10 + 4))
    b = b_full[b_sub]

    b_full_h[b_sub] = 2 * a_full_h[a_sub]

    print(cknl.get_highlighted_code({"a": a.dtype}))
    cknl(queue, a=a, b=b)

    import numpy.linalg as la
    assert la.norm(b_full.get() - b_full_h) < 1e-13
Exemple #3
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def test_vectorize(ctx_factory):
    ctx = ctx_factory()

    knl = lp.make_kernel(
        "{[i]: 0<=i<n}", """
        <> temp = 2*b[i]
        a[i] = temp
        """)
    knl = lp.add_and_infer_dtypes(knl, dict(b=np.float32))
    knl = lp.set_array_dim_names(knl, "a,b", "i")
    knl = lp.split_array_dim(knl, [("a", 0), ("b", 0)],
                             4,
                             split_kwargs=dict(slabs=(0, 1)))

    knl = lp.tag_data_axes(knl, "a,b", "c,vec")
    ref_knl = knl
    ref_knl = lp.tag_inames(ref_knl, {"i_inner": "unr"})

    knl = lp.tag_inames(knl, {"i_inner": "vec"})

    knl = lp.preprocess_kernel(knl)
    knl = lp.get_one_scheduled_kernel(knl)
    code, inf = lp.generate_code(knl)

    lp.auto_test_vs_ref(ref_knl, ctx, knl, parameters=dict(n=30))
Exemple #4
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def test_vectorize(ctx_factory):
    ctx = ctx_factory()

    knl = lp.make_kernel(
        "{[i]: 0<=i<n}",
        """
        <> temp = 2*b[i]
        a[i] = temp
        """)
    knl = lp.add_and_infer_dtypes(knl, dict(b=np.float32))
    knl = lp.set_array_dim_names(knl, "a,b", "i")
    knl = lp.split_array_dim(knl, [("a", 0), ("b", 0)], 4,
            split_kwargs=dict(slabs=(0, 1)))

    knl = lp.tag_data_axes(knl, "a,b", "c,vec")
    ref_knl = knl
    ref_knl = lp.tag_inames(ref_knl, {"i_inner": "unr"})

    knl = lp.tag_inames(knl, {"i_inner": "vec"})

    knl = lp.preprocess_kernel(knl)
    knl = lp.get_one_scheduled_kernel(knl)
    code, inf = lp.generate_code(knl)

    lp.auto_test_vs_ref(
            ref_knl, ctx, knl,
            parameters=dict(n=30))
Exemple #5
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def test_vector_types(ctx_factory, vec_len):
    ctx = ctx_factory()

    knl = lp.make_kernel(
            "{ [i,j]: 0<=i<n and 0<=j<vec_len }",
            "out[i,j] = 2*a[i,j]",
            [
                lp.GlobalArg("a", np.float32, shape=lp.auto),
                lp.GlobalArg("out", np.float32, shape=lp.auto),
                "..."
                ])

    knl = lp.fix_parameters(knl, vec_len=vec_len)

    ref_knl = knl

    knl = lp.tag_data_axes(knl, "out", "c,vec")
    knl = lp.tag_inames(knl, dict(j="unr"))

    knl = lp.split_iname(knl, "i", 128, outer_tag="g.0", inner_tag="l.0")

    lp.auto_test_vs_ref(ref_knl, ctx, knl,
            parameters=dict(
                n=20000
                ))
def set_q_storage_format(kernel, name):
    kernel = lp.set_array_dim_names(kernel, name, "i,j,k,field,e")

    kernel = lp.split_array_dim(kernel, (name, 3, "F"), 4, auto_split_inames=False)
    kernel = lp.tag_data_axes(kernel, name, "N0,N1,N2,vec,N4,N3")

    return kernel
Exemple #7
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def test_tag_data_axes(ctx_factory):
    ctx = ctx_factory()

    knl = lp.make_kernel("{ [i,j,k]: 0<=i,j,k<n }", "out[i,j,k] = 15")

    ref_knl = knl

    with pytest.raises(lp.LoopyError):
        lp.tag_data_axes(knl, "out", "N1,N0,N5")

    with pytest.raises(lp.LoopyError):
        lp.tag_data_axes(knl, "out", "N1,N0,c")

    knl = lp.tag_data_axes(knl, "out", "N1,N0,N2")
    knl = lp.tag_inames(knl, dict(j="g.0", i="g.1"))

    lp.auto_test_vs_ref(ref_knl, ctx, knl, parameters=dict(n=20))
def set_q_storage_format(kernel, name):
    kernel = lp.set_array_dim_names(kernel, name, "i,j,k,field,e")

    kernel = lp.split_array_dim(kernel, (name, 3, "F"),
                                4,
                                auto_split_inames=False)
    kernel = lp.tag_data_axes(kernel, name, "N0,N1,N2,vec,N4,N3")

    return kernel
Exemple #9
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def test_tag_data_axes(ctx_factory):
    ctx = ctx_factory()

    knl = lp.make_kernel(
            "{ [i,j,k]: 0<=i,j,k<n }",
            "out[i,j,k] = 15")

    ref_knl = knl

    with pytest.raises(lp.LoopyError):
        lp.tag_data_axes(knl, "out", "N1,N0,N5")

    with pytest.raises(lp.LoopyError):
        lp.tag_data_axes(knl, "out", "N1,N0,c")

    knl = lp.tag_data_axes(knl, "out", "N1,N0,N2")
    knl = lp.tag_inames(knl, dict(j="g.0", i="g.1"))

    lp.auto_test_vs_ref(ref_knl, ctx, knl,
            parameters=dict(n=20))
Exemple #10
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def test_indexof_vec(ctx_factory):
    ctx = ctx_factory()
    queue = cl.CommandQueue(ctx)

    if ctx.devices[0].platform.name.startswith("Portable"):
        # Accurate as of 2015-10-08
        pytest.skip("POCL miscompiles vector code")

    knl = lp.make_kernel(''' { [i,j,k]: 0<=i,j,k<4 } ''',
                         ''' out[i,j,k] = indexof_vec(out[i,j,k])''')

    knl = lp.tag_inames(knl, {"i": "vec"})
    knl = lp.tag_data_axes(knl, "out", "vec,c,c")
    knl = lp.set_options(knl, write_cl=True)

    (evt, (out, )) = knl(queue)
Exemple #11
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def test_indexof_vec(ctx_factory):
    ctx = ctx_factory()
    queue = cl.CommandQueue(ctx)

    if ctx.devices[0].platform.name.startswith("Portable"):
        # Accurate as of 2015-10-08
        pytest.skip("POCL miscompiles vector code")

    knl = lp.make_kernel(
         ''' { [i,j,k]: 0<=i,j,k<4 } ''',
         ''' out[i,j,k] = indexof_vec(out[i,j,k])''')

    knl = lp.tag_inames(knl, {"i": "vec"})
    knl = lp.tag_data_axes(knl, "out", "vec,c,c")
    knl = lp.set_options(knl, write_cl=True)

    (evt, (out,)) = knl(queue)
Exemple #12
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def test_indexof_vec(ctx_factory):
    ctx = ctx_factory()
    queue = cl.CommandQueue(ctx)

    if (
            # Accurate as of 2019-11-04
            ctx.devices[0].platform.name.startswith("Intel")):
        pytest.skip("target ICD miscompiles vector code")

    knl = lp.make_kernel(""" { [i,j,k]: 0<=i,j,k<4 } """,
                         """ out[i,j,k] = indexof_vec(out[i,j,k])""",
                         [lp.GlobalArg("out", shape=lp.auto, is_input=False)])

    knl = lp.tag_inames(knl, {"i": "vec"})
    knl = lp.tag_data_axes(knl, "out", "vec,c,c")
    knl = lp.set_options(knl, write_cl=True)

    (evt, (out, )) = knl(queue)
Exemple #13
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def test_vector_types(ctx_factory, vec_len):
    ctx = ctx_factory()

    knl = lp.make_kernel(
        "{ [i,j]: 0<=i<n and 0<=j<vec_len }", "out[i,j] = 2*a[i,j]", [
            lp.GlobalArg("a", np.float32, shape=lp.auto),
            lp.GlobalArg("out", np.float32, shape=lp.auto), "..."
        ])

    knl = lp.fix_parameters(knl, vec_len=vec_len)

    ref_knl = knl

    knl = lp.tag_data_axes(knl, "out", "c,vec")
    knl = lp.tag_inames(knl, dict(j="unr"))

    knl = lp.split_iname(knl, "i", 128, outer_tag="g.0", inner_tag="l.0")

    lp.auto_test_vs_ref(ref_knl, ctx, knl, parameters=dict(n=20000))
Exemple #14
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        def knl():
            knl = lp.make_kernel(
                """{[d,k,i,j]:
                    0<=d<dims and
                    0<=k<nelements and
                    0<=i<ndiscr_nodes and
                    0<=j<nmesh_nodes}""",
                """
                    result[d, k, i] = \
                        sum(j, resampling_mat[i, j] * nodes[d, k, j])
                    """,
                name="nodes",
                default_offset=lp.auto)

            knl = lp.split_iname(knl, "i", 16, inner_tag="l.0")
            knl = lp.tag_inames(knl, dict(k="g.0"))
            knl = lp.tag_data_axes(knl, "result",
                    "stride:auto,stride:auto,stride:auto")
            return knl
Exemple #15
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    def pick_expansion_centers(self):
        knl = lp.make_kernel(
            """{[dim,k,i]:
                0<=dim<ndims and
                0<=k<nelements and
                0<=i<nout_nodes}""",
            """
                centers[dim, k, i] = all_centers[dim, k, kept_center_indices[i]]
                radii[k, i] = all_radii[k, kept_center_indices[i]]
                """,
            [
                lp.GlobalArg("all_centers", None,
                    shape="ndims,nelements,nunit_nodes"),
                lp.GlobalArg("all_radii", None, shape="nelements,nunit_nodes"),
                lp.ValueArg("nunit_nodes", np.int32),
                "..."
                ],
            default_offset=lp.auto, name="center_pick",
            defines=dict(ndims=self.ambient_dim))

        knl = lp.tag_data_axes(knl, "centers,all_centers", "sep, C, C")

        knl = lp.split_iname(knl, "i", 16, inner_tag="l.0")
        return lp.tag_inames(knl, dict(k="g.0", dim="ilp"))
Exemple #16
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def test_offsets_and_slicing(ctx_factory):
    ctx = ctx_factory()
    queue = cl.CommandQueue(ctx)

    n = 20

    knl = lp.make_kernel(
            "{[i,j]: 0<=i<n and 0<=j<m }",
            """
                b[i,j] = 2*a[i,j]
                """,
            assumptions="n>=1 and m>=1",
            default_offset=lp.auto)

    knl = lp.tag_data_axes(knl, "a,b", "stride:auto,stride:1")

    cknl = lp.CompiledKernel(ctx, knl)

    a_full = cl.clrandom.rand(queue, (n, n), np.float64)
    a_full_h = a_full.get()
    b_full = cl.clrandom.rand(queue, (n, n), np.float64)
    b_full_h = b_full.get()

    a_sub = (slice(3, 10), slice(5, 10))
    a = a_full[a_sub]

    b_sub = (slice(3+3, 10+3), slice(5+4, 10+4))
    b = b_full[b_sub]

    b_full_h[b_sub] = 2*a_full_h[a_sub]

    print(cknl.get_highlighted_code({"a": a.dtype}))
    cknl(queue, a=a, b=b)

    import numpy.linalg as la
    assert la.norm(b_full.get() - b_full_h) < 1e-13
Exemple #17
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def test_gnuma_horiz_kernel(ctx_factory, ilp_multiple, Nq, opt_level):
    ctx = ctx_factory()

    filename = "strongVolumeKernels.f90"
    with open(filename, "r") as sourcef:
        source = sourcef.read()

    source = source.replace("datafloat", "real*4")

    hsv_r, hsv_s = [
           knl for knl in lp.parse_fortran(source, filename, auto_dependencies=False)
           if "KernelR" in knl.name or "KernelS" in knl.name
           ]
    hsv_r = lp.tag_instructions(hsv_r, "rknl")
    hsv_s = lp.tag_instructions(hsv_s, "sknl")
    hsv = lp.fuse_kernels([hsv_r, hsv_s], ["_r", "_s"])
    #hsv = hsv_s

    from gnuma_loopy_transforms import (
          fix_euler_parameters,
          set_q_storage_format, set_D_storage_format)

    hsv = lp.fix_parameters(hsv, Nq=Nq)
    hsv = lp.set_loop_priority(hsv, "e,k,j,i")
    hsv = lp.tag_inames(hsv, dict(e="g.0", j="l.1", i="l.0"))
    hsv = lp.assume(hsv, "elements >= 1")

    hsv = fix_euler_parameters(hsv, p_p0=1, p_Gamma=1.4, p_R=1)
    for name in ["Q", "rhsQ"]:
        hsv = set_q_storage_format(hsv, name)

    hsv = set_D_storage_format(hsv)
    #hsv = lp.add_prefetch(hsv, "volumeGeometricFactors")

    ref_hsv = hsv

    if opt_level == 0:
        tap_hsv = hsv

    hsv = lp.add_prefetch(hsv, "D[:,:]")

    if opt_level == 1:
        tap_hsv = hsv

    # turn the first reads into subst rules
    local_prep_var_names = set()
    for insn in lp.find_instructions(hsv, "tag:local_prep"):
        assignee, = insn.assignee_var_names()
        local_prep_var_names.add(assignee)
        hsv = lp.assignment_to_subst(hsv, assignee)

    # precompute fluxes
    hsv = lp.assignment_to_subst(hsv, "JinvD_r")
    hsv = lp.assignment_to_subst(hsv, "JinvD_s")

    r_fluxes = lp.find_instructions(hsv, "tag:compute_fluxes and tag:rknl")
    s_fluxes = lp.find_instructions(hsv, "tag:compute_fluxes and tag:sknl")

    if ilp_multiple > 1:
        hsv = lp.split_iname(hsv, "k", 2, inner_tag="ilp")
        ilp_inames = ("k_inner",)
        flux_ilp_inames = ("kk",)
    else:
        ilp_inames = ()
        flux_ilp_inames = ()

    rtmps = []
    stmps = []

    flux_store_idx = 0

    for rflux_insn, sflux_insn in zip(r_fluxes, s_fluxes):
        for knl_tag, insn, flux_inames, tmps, flux_precomp_inames in [
                  ("rknl", rflux_insn, ("j", "n",), rtmps, ("jj", "ii",)),
                  ("sknl", sflux_insn, ("i", "n",), stmps, ("ii", "jj",)),
                  ]:
            flux_var, = insn.assignee_var_names()
            print(insn)

            reader, = lp.find_instructions(hsv,
                  "tag:{knl_tag} and reads:{flux_var}"
                  .format(knl_tag=knl_tag, flux_var=flux_var))

            hsv = lp.assignment_to_subst(hsv, flux_var)

            flux_store_name = "flux_store_%d" % flux_store_idx
            flux_store_idx += 1
            tmps.append(flux_store_name)

            hsv = lp.precompute(hsv, flux_var+"_subst", flux_inames + ilp_inames,
                temporary_name=flux_store_name,
                precompute_inames=flux_precomp_inames + flux_ilp_inames,
                default_tag=None)
            if flux_var.endswith("_s"):
                hsv = lp.tag_data_axes(hsv, flux_store_name, "N0,N1,N2?")
            else:
                hsv = lp.tag_data_axes(hsv, flux_store_name, "N1,N0,N2?")

            n_iname = "n_"+flux_var.replace("_r", "").replace("_s", "")
            if n_iname.endswith("_0"):
                n_iname = n_iname[:-2]
            hsv = lp.rename_iname(hsv, "n", n_iname, within="id:"+reader.id,
                  existing_ok=True)

    hsv = lp.tag_inames(hsv, dict(ii="l.0", jj="l.1"))
    for iname in flux_ilp_inames:
        hsv = lp.tag_inames(hsv, {iname: "ilp"})

    hsv = lp.alias_temporaries(hsv, rtmps)
    hsv = lp.alias_temporaries(hsv, stmps)

    if opt_level == 2:
        tap_hsv = hsv

    for prep_var_name in local_prep_var_names:
        if prep_var_name.startswith("Jinv") or "_s" in prep_var_name:
            continue
        hsv = lp.precompute(hsv,
            lp.find_one_rule_matching(hsv, prep_var_name+"_*subst*"))

    if opt_level == 3:
        tap_hsv = hsv

    hsv = lp.add_prefetch(hsv, "Q[ii,jj,k,:,:,e]", sweep_inames=ilp_inames)

    if opt_level == 4:
        tap_hsv = hsv
        tap_hsv = lp.tag_inames(tap_hsv, dict(
              Q_dim_field_inner="unr",
              Q_dim_field_outer="unr"))

    hsv = lp.buffer_array(hsv, "rhsQ", ilp_inames,
          fetch_bounding_box=True, default_tag="for",
          init_expression="0", store_expression="base + buffer")

    if opt_level == 5:
        tap_hsv = hsv
        tap_hsv = lp.tag_inames(tap_hsv, dict(
              rhsQ_init_field_inner="unr", rhsQ_store_field_inner="unr",
              rhsQ_init_field_outer="unr", rhsQ_store_field_outer="unr",
              Q_dim_field_inner="unr",
              Q_dim_field_outer="unr"))

    # buffer axes need to be vectorized in order for this to work
    hsv = lp.tag_data_axes(hsv, "rhsQ_buf", "c?,vec,c")
    hsv = lp.tag_data_axes(hsv, "Q_fetch", "c?,vec,c")
    hsv = lp.tag_data_axes(hsv, "D_fetch", "f,f")
    hsv = lp.tag_inames(hsv,
            {"Q_dim_k": "unr", "rhsQ_init_k": "unr", "rhsQ_store_k": "unr"},
            ignore_nonexistent=True)

    if opt_level == 6:
        tap_hsv = hsv
        tap_hsv = lp.tag_inames(tap_hsv, dict(
              rhsQ_init_field_inner="unr", rhsQ_store_field_inner="unr",
              rhsQ_init_field_outer="unr", rhsQ_store_field_outer="unr",
              Q_dim_field_inner="unr",
              Q_dim_field_outer="unr"))

    hsv = lp.tag_inames(hsv, dict(
          rhsQ_init_field_inner="vec", rhsQ_store_field_inner="vec",
          rhsQ_init_field_outer="unr", rhsQ_store_field_outer="unr",
          Q_dim_field_inner="vec",
          Q_dim_field_outer="unr"))

    if opt_level == 7:
        tap_hsv = hsv

    hsv = lp.collect_common_factors_on_increment(hsv, "rhsQ_buf",
          vary_by_axes=(0,) if ilp_multiple > 1 else ())

    if opt_level >= 8:
        tap_hsv = hsv

    hsv = tap_hsv

    if 1:
        print("OPS")
        op_poly = lp.get_op_poly(hsv)
        print(lp.stringify_stats_mapping(op_poly))

        print("MEM")
        gmem_poly = lp.sum_mem_access_to_bytes(lp.get_gmem_access_poly(hsv))
        print(lp.stringify_stats_mapping(gmem_poly))

    hsv = lp.set_options(hsv, cl_build_options=[
         "-cl-denorms-are-zero",
         "-cl-fast-relaxed-math",
         "-cl-finite-math-only",
         "-cl-mad-enable",
         "-cl-no-signed-zeros",
         ])

    hsv = hsv.copy(name="horizontalStrongVolumeKernel")

    results = lp.auto_test_vs_ref(ref_hsv, ctx, hsv, parameters=dict(elements=300),
            quiet=True)

    elapsed = results["elapsed_wall"]

    print("elapsed", elapsed)
def set_D_storage_format(kernel):
    return lp.tag_data_axes(kernel, "D", "f,f")
Exemple #19
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def test_gnuma_horiz_kernel(ctx_factory, ilp_multiple, Nq, opt_level):
    ctx = ctx_factory()

    filename = "strongVolumeKernels.f90"
    with open(filename, "r") as sourcef:
        source = sourcef.read()

    source = source.replace("datafloat", "real*4")

    hsv_r, hsv_s = [
        knl
        for knl in lp.parse_fortran(source, filename, auto_dependencies=False)
        if "KernelR" in knl.name or "KernelS" in knl.name
    ]
    hsv_r = lp.tag_instructions(hsv_r, "rknl")
    hsv_s = lp.tag_instructions(hsv_s, "sknl")
    hsv = lp.fuse_kernels([hsv_r, hsv_s], ["_r", "_s"])
    #hsv = hsv_s

    from gnuma_loopy_transforms import (fix_euler_parameters,
                                        set_q_storage_format,
                                        set_D_storage_format)

    hsv = lp.fix_parameters(hsv, Nq=Nq)
    hsv = lp.set_loop_priority(hsv, "e,k,j,i")
    hsv = lp.tag_inames(hsv, dict(e="g.0", j="l.1", i="l.0"))
    hsv = lp.assume(hsv, "elements >= 1")

    hsv = fix_euler_parameters(hsv, p_p0=1, p_Gamma=1.4, p_R=1)
    for name in ["Q", "rhsQ"]:
        hsv = set_q_storage_format(hsv, name)

    hsv = set_D_storage_format(hsv)
    #hsv = lp.add_prefetch(hsv, "volumeGeometricFactors")

    ref_hsv = hsv

    if opt_level == 0:
        tap_hsv = hsv

    hsv = lp.add_prefetch(hsv, "D[:,:]")

    if opt_level == 1:
        tap_hsv = hsv

    # turn the first reads into subst rules
    local_prep_var_names = set()
    for insn in lp.find_instructions(hsv, "tag:local_prep"):
        assignee, = insn.assignee_var_names()
        local_prep_var_names.add(assignee)
        hsv = lp.assignment_to_subst(hsv, assignee)

    # precompute fluxes
    hsv = lp.assignment_to_subst(hsv, "JinvD_r")
    hsv = lp.assignment_to_subst(hsv, "JinvD_s")

    r_fluxes = lp.find_instructions(hsv, "tag:compute_fluxes and tag:rknl")
    s_fluxes = lp.find_instructions(hsv, "tag:compute_fluxes and tag:sknl")

    if ilp_multiple > 1:
        hsv = lp.split_iname(hsv, "k", 2, inner_tag="ilp")
        ilp_inames = ("k_inner", )
        flux_ilp_inames = ("kk", )
    else:
        ilp_inames = ()
        flux_ilp_inames = ()

    rtmps = []
    stmps = []

    flux_store_idx = 0

    for rflux_insn, sflux_insn in zip(r_fluxes, s_fluxes):
        for knl_tag, insn, flux_inames, tmps, flux_precomp_inames in [
            ("rknl", rflux_insn, (
                "j",
                "n",
            ), rtmps, (
                "jj",
                "ii",
            )),
            ("sknl", sflux_insn, (
                "i",
                "n",
            ), stmps, (
                "ii",
                "jj",
            )),
        ]:
            flux_var, = insn.assignee_var_names()
            print(insn)

            reader, = lp.find_instructions(
                hsv,
                "tag:{knl_tag} and reads:{flux_var}".format(knl_tag=knl_tag,
                                                            flux_var=flux_var))

            hsv = lp.assignment_to_subst(hsv, flux_var)

            flux_store_name = "flux_store_%d" % flux_store_idx
            flux_store_idx += 1
            tmps.append(flux_store_name)

            hsv = lp.precompute(hsv,
                                flux_var + "_subst",
                                flux_inames + ilp_inames,
                                temporary_name=flux_store_name,
                                precompute_inames=flux_precomp_inames +
                                flux_ilp_inames,
                                default_tag=None)
            if flux_var.endswith("_s"):
                hsv = lp.tag_data_axes(hsv, flux_store_name, "N0,N1,N2?")
            else:
                hsv = lp.tag_data_axes(hsv, flux_store_name, "N1,N0,N2?")

            n_iname = "n_" + flux_var.replace("_r", "").replace("_s", "")
            if n_iname.endswith("_0"):
                n_iname = n_iname[:-2]
            hsv = lp.rename_iname(hsv,
                                  "n",
                                  n_iname,
                                  within="id:" + reader.id,
                                  existing_ok=True)

    hsv = lp.tag_inames(hsv, dict(ii="l.0", jj="l.1"))
    for iname in flux_ilp_inames:
        hsv = lp.tag_inames(hsv, {iname: "ilp"})

    hsv = lp.alias_temporaries(hsv, rtmps)
    hsv = lp.alias_temporaries(hsv, stmps)

    if opt_level == 2:
        tap_hsv = hsv

    for prep_var_name in local_prep_var_names:
        if prep_var_name.startswith("Jinv") or "_s" in prep_var_name:
            continue
        hsv = lp.precompute(
            hsv, lp.find_one_rule_matching(hsv, prep_var_name + "_*subst*"))

    if opt_level == 3:
        tap_hsv = hsv

    hsv = lp.add_prefetch(hsv, "Q[ii,jj,k,:,:,e]", sweep_inames=ilp_inames)

    if opt_level == 4:
        tap_hsv = hsv
        tap_hsv = lp.tag_inames(
            tap_hsv, dict(Q_dim_field_inner="unr", Q_dim_field_outer="unr"))

    hsv = lp.buffer_array(hsv,
                          "rhsQ",
                          ilp_inames,
                          fetch_bounding_box=True,
                          default_tag="for",
                          init_expression="0",
                          store_expression="base + buffer")

    if opt_level == 5:
        tap_hsv = hsv
        tap_hsv = lp.tag_inames(
            tap_hsv,
            dict(rhsQ_init_field_inner="unr",
                 rhsQ_store_field_inner="unr",
                 rhsQ_init_field_outer="unr",
                 rhsQ_store_field_outer="unr",
                 Q_dim_field_inner="unr",
                 Q_dim_field_outer="unr"))

    # buffer axes need to be vectorized in order for this to work
    hsv = lp.tag_data_axes(hsv, "rhsQ_buf", "c?,vec,c")
    hsv = lp.tag_data_axes(hsv, "Q_fetch", "c?,vec,c")
    hsv = lp.tag_data_axes(hsv, "D_fetch", "f,f")
    hsv = lp.tag_inames(hsv, {
        "Q_dim_k": "unr",
        "rhsQ_init_k": "unr",
        "rhsQ_store_k": "unr"
    },
                        ignore_nonexistent=True)

    if opt_level == 6:
        tap_hsv = hsv
        tap_hsv = lp.tag_inames(
            tap_hsv,
            dict(rhsQ_init_field_inner="unr",
                 rhsQ_store_field_inner="unr",
                 rhsQ_init_field_outer="unr",
                 rhsQ_store_field_outer="unr",
                 Q_dim_field_inner="unr",
                 Q_dim_field_outer="unr"))

    hsv = lp.tag_inames(
        hsv,
        dict(rhsQ_init_field_inner="vec",
             rhsQ_store_field_inner="vec",
             rhsQ_init_field_outer="unr",
             rhsQ_store_field_outer="unr",
             Q_dim_field_inner="vec",
             Q_dim_field_outer="unr"))

    if opt_level == 7:
        tap_hsv = hsv

    hsv = lp.collect_common_factors_on_increment(
        hsv, "rhsQ_buf", vary_by_axes=(0, ) if ilp_multiple > 1 else ())

    if opt_level >= 8:
        tap_hsv = hsv

    hsv = tap_hsv

    if 1:
        print("OPS")
        op_poly = lp.get_op_poly(hsv)
        print(lp.stringify_stats_mapping(op_poly))

        print("MEM")
        gmem_poly = lp.sum_mem_access_to_bytes(lp.get_gmem_access_poly(hsv))
        print(lp.stringify_stats_mapping(gmem_poly))

    hsv = lp.set_options(hsv,
                         cl_build_options=[
                             "-cl-denorms-are-zero",
                             "-cl-fast-relaxed-math",
                             "-cl-finite-math-only",
                             "-cl-mad-enable",
                             "-cl-no-signed-zeros",
                         ])

    hsv = hsv.copy(name="horizontalStrongVolumeKernel")

    results = lp.auto_test_vs_ref(ref_hsv,
                                  ctx,
                                  hsv,
                                  parameters=dict(elements=300),
                                  quiet=True)

    elapsed = results["elapsed_wall"]

    print("elapsed", elapsed)
def set_D_storage_format(kernel):
    return lp.tag_data_axes(kernel, "D", "f,f")