doc: added tutorials with cupy+mpi

Makefile

@@ -2,7 +2,10 @@ PIP := $(shell command -v pip3 2> /dev/null || command which pip 2> /dev/null)
 PYTHON := $(shell command -v python3 2> /dev/null || command which python 2> /dev/null)
 NUM_PROCESSES = 3
 
-.PHONY: install dev-install dev-install_nccl install_conda install_conda_nccl dev-install_conda dev-install_conda_nccl tests tests_nccl doc docupdate run_examples run_tutorials
+.PHONY: install dev-install dev-install_nccl install_ \
+	conda install_conda_nccl dev-install_conda dev-install_conda_nccl  \
+	tests tests_nccl doc doc_cupy doc_nccl docupdate  \
+	run_examples run_tutorials run_tutorials_cupy run_tutorials_nccl
 
 pipcheck:
 ifndef PIP
@@ -55,12 +58,19 @@ doc:
 	rm -rf source/tutorials && rm -rf build &&\
 	cd .. && sphinx-build -b html docs/source docs/build
 
+doc_cupy:
+	cp tutorials_cupy/* tutorials/
+	cd docs  && rm -rf source/api/generated && rm -rf source/gallery &&\
+	rm -rf source/tutorials && rm -rf source/tutorials && rm -rf build &&\
+	cd .. && sphinx-build -b html docs/source docs/build
+	rm tutorials/*_cupy.py
+
 doc_nccl:
-	cp tutorials_nccl/* tutorials/
+	cp tutorials_cupy/* tutorials_nccl/* tutorials/
 	cd docs  && rm -rf source/api/generated && rm -rf source/gallery &&\
 	rm -rf source/tutorials && rm -rf source/tutorials && rm -rf build &&\
 	cd .. && sphinx-build -b html docs/source docs/build
-	rm tutorials/*_nccl.py
+	rm tutorials/*_cupy.py tutorials/*_nccl.py
 
 docupdate:
 	cd docs && make html && cd ..
@@ -76,6 +86,10 @@ run_examples:
 run_tutorials:
 	sh mpi_examples.sh tutorials $(NUM_PROCESSES)
 
+# Run tutorials using mpi with cupy arrays
+run_tutorials_cupy:
+	sh mpi_examples.sh tutorials_cupy $(NUM_PROCESSES)
+
 # Run tutorials using nccl 
 run_tutorials_nccl:
 	sh mpi_examples.sh tutorials_nccl $(NUM_PROCESSES)

tutorials/lsm.py

@@ -152,8 +152,8 @@
 d = d_dist.asarray().reshape((nstot, nr, nt))
 
 ###############################################################################
-
-# Adjoint
+# We calculate now the adjoint and model the data using the adjoint reflectivity
+# as input.
 madj_dist = VStack.H @ d_dist
 madj = madj_dist.asarray().reshape((nx, nz))
 d_adj_dist = VStack @ madj_dist

tutorials/mdd.py

@@ -37,16 +37,16 @@
 # Input parameters
 par = {
     "ox": -300,
-    "dx": 10,
-    "nx": 61,
+    "dx": 5,
+    "nx": 121,
     "oy": -500,
-    "dy": 10,
-    "ny": 101,
+    "dy": 5,
+    "ny": 201,
     "ot": 0,
-    "dt": 0.004,
-    "nt": 400,
+    "dt": 0.002,
+    "nt": 800,
     "f0": 20,
-    "nfmax": 200,
+    "nfmax": 400,
 }
 
 t0_m = 0.2

tutorials_cupy/lsm_cupy.py

@@ -0,0 +1,185 @@
+r"""
+Least-squares Migration with CUDA-Aware MPI
+===========================================
+This tutorial is an extension of the :ref:`sphx_glr_tutorials_lsm.py` 
+tutorial where PyLops-MPI is run in multi-GPU setting with GPUs communicating via 
+CUDA-Aware MPI.
+"""
+
+import warnings
+warnings.filterwarnings('ignore')
+
+import numpy as np
+import cupy as cp
+from matplotlib import pyplot as plt
+from mpi4py import MPI
+
+from pylops.utils.wavelets import ricker
+from pylops.waveeqprocessing.lsm import LSM
+
+import pylops_mpi
+
+np.random.seed(42)
+plt.close("all")
+rank = MPI.COMM_WORLD.Get_rank()
+size = MPI.COMM_WORLD.Get_size()
+cp.cuda.Device(device=rank).use();
+
+###############################################################################
+# Let's start with a simple model with two interfaces, where sources are 
+# distributed across different ranks.
+# Note that this section is exactly the same as the one in the MPI example 
+# as we will keep using MPI for transfering metadata (i.e., shapes, dims, etc.)
+
+# Velocity Model
+nx, nz = 81, 60
+dx, dz = 4, 4
+x, z = np.arange(nx) * dx, np.arange(nz) * dz
+v0 = 1000  # initial velocity
+kv = 0.0  # gradient
+vel = np.outer(np.ones(nx), v0 + kv * z)
+
+# Reflectivity Model
+refl = np.zeros((nx, nz), dtype=np.float32)
+refl[:, 30] = -1
+refl[:, 50] = 0.5
+
+# Receivers
+nr = 11
+rx = np.linspace(10 * dx, (nx - 10) * dx, nr)
+rz = 20 * np.ones(nr)
+recs = np.vstack((rx, rz))
+
+# Sources
+ns = 10
+# Total number of sources at all ranks
+nstot = MPI.COMM_WORLD.allreduce(ns, op=MPI.SUM)
+sxtot = np.linspace(dx * 10, (nx - 10) * dx, nstot)
+sx = sxtot[rank * ns: (rank + 1) * ns]
+sztot = 10 * np.ones(nstot)
+sz = 10 * np.ones(ns)
+sources = np.vstack((sx, sz))
+sources_tot = np.vstack((sxtot, sztot))
+
+if rank == 0:
+    plt.figure(figsize=(10, 5))
+    im = plt.imshow(vel.T, cmap="summer", extent=(x[0], x[-1], z[-1], z[0]))
+    plt.scatter(recs[0], recs[1], marker="v", s=150, c="b", edgecolors="k")
+    plt.scatter(sources_tot[0], sources_tot[1], marker="*", s=150, c="r", edgecolors="k")
+    cb = plt.colorbar(im)
+    cb.set_label("[m/s]")
+    plt.axis("tight")
+    plt.xlabel("x [m]"), plt.ylabel("z [m]")
+    plt.title("Velocity")
+    plt.xlim(x[0], x[-1])
+    plt.tight_layout()
+
+    plt.figure(figsize=(10, 5))
+    im = plt.imshow(refl.T, cmap="gray", extent=(x[0], x[-1], z[-1], z[0]))
+    plt.scatter(recs[0], recs[1], marker="v", s=150, c="b", edgecolors="k")
+    plt.scatter(sources_tot[0], sources_tot[1], marker="*", s=150, c="r", edgecolors="k")
+    plt.colorbar(im)
+    plt.axis("tight")
+    plt.xlabel("x [m]"), plt.ylabel("z [m]")
+    plt.title("Reflectivity")
+    plt.xlim(x[0], x[-1])
+    plt.tight_layout()
+
+###############################################################################
+# We are now ready to create the :py:class:`pylops.waveeqprocessing.LSM` 
+# operator and initialize the :py:class:`pylops_mpi.DistributedArray` 
+# reflecitivity object. Compared to the MPI tutorial, we need to make sure that 
+# we set CuPy as the engine and use CuPy arrays
+
+# Wavelet
+nt = 651
+dt = 0.004
+t = np.arange(nt) * dt
+wav, wavt, wavc = ricker(t[:41], f0=20)
+
+lsm = LSM(
+    z,
+    x,
+    t,
+    sources,
+    recs,
+    v0,
+    cp.asarray(wav.astype(np.float32)),
+    wavc,
+    mode="analytic",
+    engine="cuda",
+    dtype=np.float32
+)
+lsm.Demop.trav_srcs = cp.asarray(lsm.Demop.trav_srcs.astype(np.float32))
+lsm.Demop.trav_recs = cp.asarray(lsm.Demop.trav_recs.astype(np.float32))
+
+VStack = pylops_mpi.MPIVStack(ops=[lsm.Demop, ])
+refl_dist = pylops_mpi.DistributedArray(global_shape=nx * nz, 
+                                        partition=pylops_mpi.Partition.BROADCAST, 
+                                        engine="cupy")
+refl_dist[:] = cp.asarray(refl.flatten())
+d_dist = VStack @ refl_dist
+d = d_dist.asarray().reshape((nstot, nr, nt))
+
+###############################################################################
+# We calculate now the adjoint and the inverse using the 
+# :py:func:`pylops_mpi.optimization.basic.cgls` solver. No code change
+# is required to run on CUDA-aware 
+# MPI (this is handled through MPI operator and DistributedArray)
+# In this particular case, the local computation will be done in GPU. 
+# Collective communication calls will be carried through MPI GPU-to-GPU.
+
+# Adjoint
+madj_dist = VStack.H @ d_dist
+madj = madj_dist.asarray().reshape((nx, nz))
+d_adj_dist = VStack @ madj_dist
+d_adj = d_adj_dist.asarray().reshape((nstot, nr, nt))
+
+# Inverse
+# Initializing x0 to zeroes
+x0 = pylops_mpi.DistributedArray(VStack.shape[1], 
+                                 partition=pylops_mpi.Partition.BROADCAST, 
+                                 engine="cupy")
+x0[:] = 0
+minv_dist = pylops_mpi.cgls(VStack, d_dist, x0=x0, niter=100, show=True)[0]
+minv = minv_dist.asarray().reshape((nx, nz))
+d_inv_dist = VStack @ minv_dist
+d_inv = d_inv_dist.asarray().reshape(nstot, nr, nt)
+
+###############################################################################
+if rank == 0:
+    # Visualize
+    fig1, axs = plt.subplots(1, 3, figsize=(10, 3))
+    axs[0].imshow(refl.T, cmap="gray", vmin=-1, vmax=1)
+    axs[0].axis("tight")
+    axs[0].set_title(r"$m$")
+    axs[1].imshow(madj.T.get(), cmap="gray", vmin=-madj.max(), vmax=madj.max())
+    axs[1].set_title(r"$m_{adj}$")
+    axs[1].axis("tight")
+    axs[2].imshow(minv.T.get(), cmap="gray", vmin=-1, vmax=1)
+    axs[2].axis("tight")
+    axs[2].set_title(r"$m_{inv}$")
+    plt.tight_layout()
+
+    fig2, axs = plt.subplots(1, 3, figsize=(10, 3))
+    axs[0].imshow(d[0, :, :300].T.get(), cmap="gray", vmin=-d.max(), vmax=d.max())
+    axs[0].set_title(r"$d$")
+    axs[0].axis("tight")
+    axs[1].imshow(d_adj[0, :, :300].T.get(), cmap="gray", vmin=-d_adj.max(), vmax=d_adj.max())
+    axs[1].set_title(r"$d_{adj}$")
+    axs[1].axis("tight")
+    axs[2].imshow(d_inv[0, :, :300].T.get(), cmap="gray", vmin=-d.max(), vmax=d.max())
+    axs[2].set_title(r"$d_{inv}$")
+    axs[2].axis("tight")
+
+    fig3, axs = plt.subplots(1, 3, figsize=(10, 3))
+    axs[0].imshow(d[nstot // 2, :, :300].T.get(), cmap="gray", vmin=-d.max(), vmax=d.max())
+    axs[0].set_title(r"$d$")
+    axs[0].axis("tight")
+    axs[1].imshow(d_adj[nstot // 2, :, :300].T.get(), cmap="gray", vmin=-d_adj.max(), vmax=d_adj.max())
+    axs[1].set_title(r"$d_{adj}$")
+    axs[1].axis("tight")
+    axs[2].imshow(d_inv[nstot // 2, :, :300].T.get(), cmap="gray", vmin=-d.max(), vmax=d.max())
+    axs[2].set_title(r"$d_{inv}$")
+    axs[2].axis("tight")
+    plt.tight_layout()