{ "cells": [ { "cell_type": "markdown", "metadata": { "pedagogy": { "role": "meta", "difficulty": 1, "kind": "theme", "title": "Notebook Theme" } }, "source": "## META\n\n\n" }, { "cell_type": "markdown", "metadata": { "pedagogy": { "role": "meta", "difficulty": 1, "kind": "route_nav", "title": "Route Guardrails" } }, "source": "## META\n\n
\n Level 1\n
\n META\n route nav\n
\n
Route Guardrails
\n
\n\nYou are at **step 12 of 27** in the only supported route.\n\nNever choose the next notebook manually from the file tree. Use only the links in this cell and the final handoff cell.\n\n**Immediate navigation**\n- Next notebook: [Butterfly Mechanics / 03 Fast Forward CT / Problems](problems.ipynb)\n- Previous notebook: [Butterfly Mechanics / 03 Fast Forward CT / Lecture](lecture.ipynb)\n- Restart route: [Start Here](../../START_HERE.ipynb)\n\n**Official route chain**\n1. [Start Here](../../START_HERE.ipynb)\n2. [Course Blueprint](../../COURSE_BLUEPRINT.ipynb)\n3. [Foundations / 01 Convolution To Toy NTT / Lecture](../../foundations/01_convolution_to_toy_ntt/lecture.ipynb)\n4. [Foundations / 01 Convolution To Toy NTT / Lab](../../foundations/01_convolution_to_toy_ntt/lab.ipynb)\n5. [Foundations / 01 Convolution To Toy NTT / Problems](../../foundations/01_convolution_to_toy_ntt/problems.ipynb)\n6. [Foundations / 01 Convolution To Toy NTT / Studio](../../foundations/01_convolution_to_toy_ntt/studio.ipynb)\n7. [Foundations / 02 Negative Wrapped NTT / Lecture](../../foundations/02_negative_wrapped_ntt/lecture.ipynb)\n8. [Foundations / 02 Negative Wrapped NTT / Lab](../../foundations/02_negative_wrapped_ntt/lab.ipynb)\n9. [Foundations / 02 Negative Wrapped NTT / Problems](../../foundations/02_negative_wrapped_ntt/problems.ipynb)\n10. [Foundations / 02 Negative Wrapped NTT / Studio](../../foundations/02_negative_wrapped_ntt/studio.ipynb)\n11. [Butterfly Mechanics / 03 Fast Forward CT / Lecture](lecture.ipynb)\n12. **Butterfly Mechanics / 03 Fast Forward CT / Lab** <- you are here\n13. [Butterfly Mechanics / 03 Fast Forward CT / Problems](problems.ipynb)\n14. [Butterfly Mechanics / 03 Fast Forward CT / Studio](studio.ipynb)\n15. [Butterfly Mechanics / 04 Fast Inverse GS / Lecture](../04_fast_inverse_gs/lecture.ipynb)\n16. [Butterfly Mechanics / 04 Fast Inverse GS / Lab](../04_fast_inverse_gs/lab.ipynb)\n17. [Butterfly Mechanics / 04 Fast Inverse GS / Problems](../04_fast_inverse_gs/problems.ipynb)\n18. [Butterfly Mechanics / 04 Fast Inverse GS / Studio](../04_fast_inverse_gs/studio.ipynb)\n19. [Kyber Mapping / 05 Kyber NTT And Base Multiplication / Lecture](../../kyber_mapping/05_kyber_ntt_and_base_multiplication/lecture.ipynb)\n20. [Kyber Mapping / 05 Kyber NTT And Base Multiplication / Lab](../../kyber_mapping/05_kyber_ntt_and_base_multiplication/lab.ipynb)\n21. [Kyber Mapping / 05 Kyber NTT And Base Multiplication / Problems](../../kyber_mapping/05_kyber_ntt_and_base_multiplication/problems.ipynb)\n22. [Kyber Mapping / 05 Kyber NTT And Base Multiplication / Studio](../../kyber_mapping/05_kyber_ntt_and_base_multiplication/studio.ipynb)\n23. [Professional / 06 Debugging NTT Failures / Lecture](../../professional/06_debugging_ntt_failures/lecture.ipynb)\n24. [Professional / 06 Debugging NTT Failures / Lab](../../professional/06_debugging_ntt_failures/lab.ipynb)\n25. [Professional / 06 Debugging NTT Failures / Problems](../../professional/06_debugging_ntt_failures/problems.ipynb)\n26. [Professional / 06 Debugging NTT Failures / Studio](../../professional/06_debugging_ntt_failures/studio.ipynb)\n27. [Course Complete](../../COURSE_COMPLETE.ipynb)\n" }, { "cell_type": "markdown", "metadata": { "pedagogy": { "role": "meta", "difficulty": 1, "kind": "orientation", "title": "Lab Goals" } }, "source": "## META\n\n
\n Level 1\n
\n META\n orientation\n
\n
Lab Goals
\n
\n\nYou should predict stage pairings and zetas before running the stage explorer.\n" }, { "cell_type": "markdown", "metadata": { "pedagogy": { "role": "mandatory", "difficulty": 3, "kind": "exercise", "title": "Exercise 1" } }, "source": "## MANDATORY\n\n
\n Level 3\n
\n MANDATORY\n exercise\n
\n
Exercise 1
\n
\n\nFor the `n = 4` example, predict:\n\n- which original coefficients pair in stage 1\n- which adjacent positions pair in stage 2\n- why the output is not yet in normal order\n" }, { "cell_type": "code", "execution_count": null, "metadata": { "pedagogy": { "role": "mandatory", "difficulty": 3, "kind": "exercise", "title": "Prediction Check For n=4" } }, "outputs": [], "source": "# MANDATORY\n# title: Prediction Check For n=4\n# kind: exercise | level: 3\n\nfrom IPython.display import display\n\nfrom ntt_learning.toy_ntt import fast_ntt_psi_ct_trace\nfrom ntt_learning.visuals import butterfly_story_player, interactive_trace\n\ntrace = fast_ntt_psi_ct_trace([1, 2, 3, 4], 7681, 1925)\ndisplay(butterfly_story_player(trace))\ndisplay(interactive_trace(trace, title=\"Check your n=4 prediction\"))\n" }, { "cell_type": "markdown", "metadata": { "pedagogy": { "role": "mandatory", "difficulty": 3, "kind": "exercise", "title": "Exercise 2" } }, "source": "## MANDATORY\n\n
\n Level 3\n
\n MANDATORY\n exercise\n
\n
Exercise 2
\n
\n\nFor the `n = 8` example, name the stage count before you run the next cell.\nThen name which stage feels most confusing and why.\n" }, { "cell_type": "code", "execution_count": null, "metadata": { "pedagogy": { "role": "mandatory", "difficulty": 3, "kind": "exercise", "title": "Prediction Check For n=8" } }, "outputs": [], "source": "# MANDATORY\n# title: Prediction Check For n=8\n# kind: exercise | level: 3\n\nfrom IPython.display import display\n\nfrom ntt_learning.toy_ntt import fast_ntt_psi_ct_trace, find_psi\nfrom ntt_learning.visuals import interactive_trace\n\ntrace = fast_ntt_psi_ct_trace([0, 1, 2, 3, 4, 5, 6, 7], 97, find_psi(8, 97))\ndisplay(interactive_trace(trace, title=\"Check your n=8 prediction\"))\n" }, { "cell_type": "markdown", "metadata": { "pedagogy": { "role": "mandatory", "difficulty": 2, "kind": "reflection", "title": "Reflection" } }, "source": "## MANDATORY\n\n
\n Level 2\n
\n MANDATORY\n reflection\n
\n
Reflection
\n
\n\nReflection prompt:\n\n- Which stage feels easiest to see by eye?\n- Which stage feels most like \u201cpure schedule\u201d rather than \u201cnew algebra\u201d?\n- Why is BO output not a bug?\n" }, { "cell_type": "code", "execution_count": null, "metadata": { "pedagogy": { "role": "facultative", "difficulty": 4, "kind": "exploration", "title": "Optional: Change The n=8 Signal" } }, "outputs": [], "source": "# FACULTATIVE\n# title: Optional: Change The n=8 Signal\n# kind: exploration | level: 4\n\nimport ipywidgets as widgets\nfrom IPython.display import display\n\nfrom ntt_learning.toy_ntt import fast_ntt_psi_ct_trace, find_psi\nfrom ntt_learning.visuals import interactive_trace\n\npsi = find_psi(8, 97)\n\ndef preview(a0=0, a1=1, a2=2, a3=3, a4=4, a5=5, a6=6, a7=7):\n trace = fast_ntt_psi_ct_trace([a0, a1, a2, a3, a4, a5, a6, a7], 97, psi)\n display(interactive_trace(trace, title=\"Interactive n=8 CT trace\"))\n\ndisplay(\n widgets.interact(\n preview,\n a0=(0, 12),\n a1=(0, 12),\n a2=(0, 12),\n a3=(0, 12),\n a4=(0, 12),\n a5=(0, 12),\n a6=(0, 12),\n a7=(0, 12),\n )\n)\n" }, { "cell_type": "markdown", "metadata": { "pedagogy": { "role": "meta", "difficulty": 1, "kind": "handoff", "title": "Next Notebook" } }, "source": "## META\n\n
\n Level 1\n
\n META\n handoff\n
\n
Next Notebook
\n
\n\nYou finished **Butterfly Mechanics / 03 Fast Forward CT / Lab**.\n\n**Primary next action**\n- Next notebook: [Step 13 of 27 - Butterfly Mechanics / 03 Fast Forward CT / Problems](problems.ipynb)\n\n**Recovery links if you get lost**\n- Previous notebook: [Butterfly Mechanics / 03 Fast Forward CT / Lecture](lecture.ipynb)\n- Restart route: [Start Here](../../START_HERE.ipynb)\n" } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "name": "python" }, "ntt_learning": { "title": "Lab: Fast Forward CT", "contract_version": "0.2", "sequence": [ "notebooks/START_HERE.ipynb", "notebooks/COURSE_BLUEPRINT.ipynb", "notebooks/foundations/01_convolution_to_toy_ntt/lecture.ipynb", "notebooks/foundations/01_convolution_to_toy_ntt/lab.ipynb", "notebooks/foundations/01_convolution_to_toy_ntt/problems.ipynb", "notebooks/foundations/01_convolution_to_toy_ntt/studio.ipynb", "notebooks/foundations/02_negative_wrapped_ntt/lecture.ipynb", "notebooks/foundations/02_negative_wrapped_ntt/lab.ipynb", "notebooks/foundations/02_negative_wrapped_ntt/problems.ipynb", "notebooks/foundations/02_negative_wrapped_ntt/studio.ipynb", "notebooks/butterfly_mechanics/03_fast_forward_ct/lecture.ipynb", "notebooks/butterfly_mechanics/03_fast_forward_ct/lab.ipynb", "notebooks/butterfly_mechanics/03_fast_forward_ct/problems.ipynb", "notebooks/butterfly_mechanics/03_fast_forward_ct/studio.ipynb", "notebooks/butterfly_mechanics/04_fast_inverse_gs/lecture.ipynb", "notebooks/butterfly_mechanics/04_fast_inverse_gs/lab.ipynb", "notebooks/butterfly_mechanics/04_fast_inverse_gs/problems.ipynb", "notebooks/butterfly_mechanics/04_fast_inverse_gs/studio.ipynb", "notebooks/kyber_mapping/05_kyber_ntt_and_base_multiplication/lecture.ipynb", "notebooks/kyber_mapping/05_kyber_ntt_and_base_multiplication/lab.ipynb", "notebooks/kyber_mapping/05_kyber_ntt_and_base_multiplication/problems.ipynb", "notebooks/kyber_mapping/05_kyber_ntt_and_base_multiplication/studio.ipynb", "notebooks/professional/06_debugging_ntt_failures/lecture.ipynb", "notebooks/professional/06_debugging_ntt_failures/lab.ipynb", "notebooks/professional/06_debugging_ntt_failures/problems.ipynb", "notebooks/professional/06_debugging_ntt_failures/studio.ipynb", "notebooks/COURSE_COMPLETE.ipynb" ] } }, "nbformat": 4, "nbformat_minor": 5 }