.. DO NOT EDIT. .. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY. .. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE: .. "examples/ldlt_matrix_inverse.py" .. LINE NUMBERS ARE GIVEN BELOW. .. only:: html .. note:: :class: sphx-glr-download-link-note :ref:`Go to the end ` to download the full example code. .. rst-class:: sphx-glr-example-title .. _sphx_glr_examples_ldlt_matrix_inverse.py: =============================== LDLT matrix inversion algorithm =============================== This provides some examples of the different list-based schedulers that are available in B-ASIC. .. GENERATED FROM PYTHON SOURCE LINES 9-25 .. code-block:: Python from b_asic.architecture import Memory, ProcessingElement from b_asic.core_operations import MADS, Reciprocal from b_asic.list_schedulers import ( EarliestDeadlineScheduler, HybridScheduler, LeastSlackTimeScheduler, MaxFanOutScheduler, ) from b_asic.schedule import Schedule from b_asic.scheduler import ALAPScheduler, ASAPScheduler from b_asic.sfg_generators import ldlt_matrix_inverse from b_asic.special_operations import Input, Output sfg = ldlt_matrix_inverse(N=3, pe="mads") .. GENERATED FROM PYTHON SOURCE LINES 26-27 The SFG is .. GENERATED FROM PYTHON SOURCE LINES 27-29 .. code-block:: Python sfg .. raw:: html
%3 in0 A[0,0] (in0) rec0 D_inv[0] (rec0) in0:e->rec0 in1 A[1,0] (in1) rec0.0 rec0->rec0.0 in1.0 in1:e->in1.0 in2 A[1,1] (in2) mads0 mads0 in1.0->mads0 1 mads14 mads14 in1.0->mads14 1 mads0.0 mads0->mads0.0 rec1 D_inv[1] (rec1) mads14->rec1 in2:e->mads14 0 in3 A[2,0] (in3) in3.0 in3:e->in3.0 in4 A[2,1] (in4) mads1 mads1 in3.0->mads1 1 mads13 mads13 in3.0->mads13 1 mads12 mads12 in3.0->mads12 1 mads1.0 mads1->mads1.0 mads13.0 mads13->mads13.0 mads10 mads10 mads12->mads10 0 in4:e->mads13 0 in5 A[2,2] (in5) in5:e->mads12 0 out0 res[0,0] (out0) out1 res[1,0] (out1) mads4 mads4 mads4->out0:w out2 res[1,1] (out2) mads5.0 mads5.0->mads4 2 mads5.0->out1:w mads5 mads5 mads5->mads5.0 out3 res[2,0] (out3) mads7.0 mads7.0->mads5 2 mads7.0->out2:w mads7 mads7 mads7->mads7.0 out4 res[2,1] (out4) mads3.0 mads3.0->out3:w mads2 mads2 mads3.0->mads2 2 mads3 mads3 mads3->mads3.0 out5 res[2,2] (out5) mads9.0 mads9.0->mads7 2 mads9.0->mads3 2 mads9.0->out4:w mads6 mads6 mads9.0->mads6 2 mads9 mads9 mads9->mads9.0 rec2.0 rec2.0->mads9 2 rec2.0->out5:w mads11 mads11 rec2.0->mads11 2 rec2 D_inv[2] (rec2) rec2->rec2.0 rec0.0->mads0 2 rec0.0->mads1 2 rec0.0->mads2 0 mads2->mads4 0 mads1.0->mads12 2 mads1.0->mads2 1 mads1.0->mads6 1 mads1.0->mads11 1 mads0.0->mads14 2 mads0.0->mads13 2 mads0.0->mads4 1 mads0.0->mads5 1 mads0.0->mads3 1 mads6->mads5 0 rec1.0 rec1.0->mads7 0 mads8 mads8 rec1.0->mads8 2 rec1->rec1.0 mads8.0 mads8.0->mads7 1 mads8.0->mads9 1 mads8.0->mads10 2 mads8->mads8.0 dontcare0 dontcare0 dontcare0->mads9 0 mads10->rec2 mads11->mads3 0 dontcare1 dontcare1 dontcare1->mads11 0 mads13.0->mads8 1 mads13.0->mads10 1 dontcare2 dontcare2 dontcare2->mads8 0 dontcare3 dontcare3 dontcare3->mads6 0 dontcare4 dontcare4 dontcare4->mads1 0 dontcare5 dontcare5 dontcare5->mads0 0


.. GENERATED FROM PYTHON SOURCE LINES 30-31 Set latencies and execution times. .. GENERATED FROM PYTHON SOURCE LINES 31-36 .. code-block:: Python sfg.set_latency_of_type(MADS, 3) sfg.set_latency_of_type(Reciprocal, 2) sfg.set_execution_time_of_type(MADS, 1) sfg.set_execution_time_of_type(Reciprocal, 1) .. GENERATED FROM PYTHON SOURCE LINES 37-38 Create an ASAP schedule. .. GENERATED FROM PYTHON SOURCE LINES 38-42 .. code-block:: Python schedule = Schedule(sfg, scheduler=ASAPScheduler()) print("Scheduling time:", schedule.schedule_time) schedule .. rst-class:: sphx-glr-script-out .. code-block:: none Scheduling time: 30 .. raw:: html
2026-06-03T14:26:32.087748 image/svg+xml Matplotlib v3.10.9, https://matplotlib.org/


.. GENERATED FROM PYTHON SOURCE LINES 43-44 Create an ALAP schedule. .. GENERATED FROM PYTHON SOURCE LINES 44-48 .. code-block:: Python schedule = Schedule(sfg, scheduler=ALAPScheduler()) print("Scheduling time:", schedule.schedule_time) schedule .. rst-class:: sphx-glr-script-out .. code-block:: none Scheduling time: 30 .. raw:: html
2026-06-03T14:26:32.358261 image/svg+xml Matplotlib v3.10.9, https://matplotlib.org/


.. GENERATED FROM PYTHON SOURCE LINES 49-50 Create an earliest deadline schedule that uses one MADS and one Reciprocal PE. .. GENERATED FROM PYTHON SOURCE LINES 50-55 .. code-block:: Python resources = {MADS.type_name(): 1, Reciprocal.type_name(): 1} schedule = Schedule(sfg, scheduler=EarliestDeadlineScheduler(resources)) print("Scheduling time:", schedule.schedule_time) schedule .. rst-class:: sphx-glr-script-out .. code-block:: none Scheduling time: 32 .. raw:: html
2026-06-03T14:26:32.631784 image/svg+xml Matplotlib v3.10.9, https://matplotlib.org/


.. GENERATED FROM PYTHON SOURCE LINES 56-57 Create a least slack-time schedule that uses one MADS and one Reciprocal PE. .. GENERATED FROM PYTHON SOURCE LINES 57-61 .. code-block:: Python schedule = Schedule(sfg, scheduler=LeastSlackTimeScheduler(resources)) print("Scheduling time:", schedule.schedule_time) schedule .. rst-class:: sphx-glr-script-out .. code-block:: none Scheduling time: 32 .. raw:: html
2026-06-03T14:26:32.907670 image/svg+xml Matplotlib v3.10.9, https://matplotlib.org/


.. GENERATED FROM PYTHON SOURCE LINES 62-63 Create a max fan-out schedule that uses one MADS and one Reciprocal PE. .. GENERATED FROM PYTHON SOURCE LINES 63-67 .. code-block:: Python schedule = Schedule(sfg, scheduler=MaxFanOutScheduler(resources)) print("Scheduling time:", schedule.schedule_time) schedule .. rst-class:: sphx-glr-script-out .. code-block:: none Scheduling time: 36 .. raw:: html
2026-06-03T14:26:33.340153 image/svg+xml Matplotlib v3.10.9, https://matplotlib.org/


.. GENERATED FROM PYTHON SOURCE LINES 68-71 Create a HybridScheduler schedule that one MADS and one Reciprocal PE with custom IO times. This is the schedule we will synthesize an architecture for. .. GENERATED FROM PYTHON SOURCE LINES 71-98 .. code-block:: Python input_times = { "in0": 0, "in1": 1, "in2": 2, "in3": 3, "in4": 4, "in5": 5, } output_delta_times = { "out0": 0, "out1": 1, "out2": 2, "out3": 3, "out4": 4, "out5": 5, } schedule = Schedule( sfg, scheduler=HybridScheduler( resources, input_times=input_times, output_delta_times=output_delta_times ), schedule_time=32, cyclic=True, ) print("Scheduling time:", schedule.schedule_time) schedule .. rst-class:: sphx-glr-script-out .. code-block:: none Scheduling time: 32 .. raw:: html
2026-06-03T14:26:33.622232 image/svg+xml Matplotlib v3.10.9, https://matplotlib.org/


.. GENERATED FROM PYTHON SOURCE LINES 99-123 .. code-block:: Python operations = schedule.get_operations() mads = operations.get_by_type_name(MADS.type_name()) mads.show(title="MADS executions") reciprocals = operations.get_by_type_name(Reciprocal.type_name()) reciprocals.show(title="Reciprocal executions") inputs = operations.get_by_type_name(Input.type_name()) inputs.show(title="Input executions") outputs = operations.get_by_type_name(Output.type_name()) outputs.show(title="Output executions") mads_pe = ProcessingElement(mads, entity_name="mad") reciprocal_pe = ProcessingElement(reciprocals, entity_name="rec") pe_in = ProcessingElement(inputs, entity_name='input') pe_out = ProcessingElement(outputs, entity_name='output') mem_vars = schedule.get_memory_variables() mem_vars.show(title="All memory variables") direct, mem_vars = mem_vars.split_on_length() mem_vars.show(title="Non-zero time memory variables") mem_vars_set = mem_vars.split_on_ports( read_ports=1, write_ports=1, total_ports=2, strategy="greedy_graph_color" ) .. rst-class:: sphx-glr-horizontal * .. image-sg:: /examples/images/sphx_glr_ldlt_matrix_inverse_001.png :alt: MADS executions :srcset: /examples/images/sphx_glr_ldlt_matrix_inverse_001.png :class: sphx-glr-multi-img * .. image-sg:: /examples/images/sphx_glr_ldlt_matrix_inverse_002.png :alt: Reciprocal executions :srcset: /examples/images/sphx_glr_ldlt_matrix_inverse_002.png :class: sphx-glr-multi-img * .. image-sg:: /examples/images/sphx_glr_ldlt_matrix_inverse_003.png :alt: Input executions :srcset: /examples/images/sphx_glr_ldlt_matrix_inverse_003.png :class: sphx-glr-multi-img * .. image-sg:: /examples/images/sphx_glr_ldlt_matrix_inverse_004.png :alt: Output executions :srcset: /examples/images/sphx_glr_ldlt_matrix_inverse_004.png :class: sphx-glr-multi-img * .. image-sg:: /examples/images/sphx_glr_ldlt_matrix_inverse_005.png :alt: All memory variables :srcset: /examples/images/sphx_glr_ldlt_matrix_inverse_005.png :class: sphx-glr-multi-img * .. image-sg:: /examples/images/sphx_glr_ldlt_matrix_inverse_006.png :alt: Non-zero time memory variables :srcset: /examples/images/sphx_glr_ldlt_matrix_inverse_006.png :class: sphx-glr-multi-img .. GENERATED FROM PYTHON SOURCE LINES 124-133 .. code-block:: Python memories = [] for i, mem in enumerate(mem_vars_set): memory = Memory(mem, memory_type="RAM", entity_name=f"memory{i}") memories.append(memory) mem.show(title=f"{memory.entity_name}") memory.assign("left_edge") memory.show_content(title=f"Assigned {memory.entity_name}") direct.show(title="Direct interconnects") .. rst-class:: sphx-glr-horizontal * .. image-sg:: /examples/images/sphx_glr_ldlt_matrix_inverse_007.png :alt: memory0 :srcset: /examples/images/sphx_glr_ldlt_matrix_inverse_007.png :class: sphx-glr-multi-img * .. image-sg:: /examples/images/sphx_glr_ldlt_matrix_inverse_008.png :alt: Assigned memory0 :srcset: /examples/images/sphx_glr_ldlt_matrix_inverse_008.png :class: sphx-glr-multi-img * .. image-sg:: /examples/images/sphx_glr_ldlt_matrix_inverse_009.png :alt: memory1 :srcset: /examples/images/sphx_glr_ldlt_matrix_inverse_009.png :class: sphx-glr-multi-img * .. image-sg:: /examples/images/sphx_glr_ldlt_matrix_inverse_010.png :alt: Assigned memory1 :srcset: /examples/images/sphx_glr_ldlt_matrix_inverse_010.png :class: sphx-glr-multi-img * .. image-sg:: /examples/images/sphx_glr_ldlt_matrix_inverse_011.png :alt: memory2 :srcset: /examples/images/sphx_glr_ldlt_matrix_inverse_011.png :class: sphx-glr-multi-img * .. image-sg:: /examples/images/sphx_glr_ldlt_matrix_inverse_012.png :alt: Assigned memory2 :srcset: /examples/images/sphx_glr_ldlt_matrix_inverse_012.png :class: sphx-glr-multi-img * .. image-sg:: /examples/images/sphx_glr_ldlt_matrix_inverse_013.png :alt: Direct interconnects :srcset: /examples/images/sphx_glr_ldlt_matrix_inverse_013.png :class: sphx-glr-multi-img .. rst-class:: sphx-glr-timing **Total running time of the script:** (0 minutes 4.248 seconds) .. _sphx_glr_download_examples_ldlt_matrix_inverse.py: .. only:: html .. container:: sphx-glr-footer sphx-glr-footer-example .. container:: sphx-glr-download sphx-glr-download-jupyter :download:`Download Jupyter notebook: ldlt_matrix_inverse.ipynb ` .. container:: sphx-glr-download sphx-glr-download-python :download:`Download Python source code: ldlt_matrix_inverse.py ` .. container:: sphx-glr-download sphx-glr-download-zip :download:`Download zipped: ldlt_matrix_inverse.zip ` .. only:: html .. rst-class:: sphx-glr-signature `Gallery generated by Sphinx-Gallery `_