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docs(zenodo): B002 FPGA analysis notebook complete (#435)
- Resource utilization (LUT, DSP, BRAM, FF) - Zero-DSP achievement analysis - Power consumption (1.2W @ 100MHz) - Energy efficiency (19.2 pJ/OP) - Carbon emissions calculation v6.3 Progress: 3/3 notebooks complete ✅ Next: Video demos, ORCID integration φ² + 1/φ² = 3 | TRINITY
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‎docs/research/notebooks/B002_FPGA_Analysis.ipynb‎

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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# B002: FPGA Synthesis Analysis\n",
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"# B002: FPGA Resource Analysis\n",
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"\n",
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"**Trinity B002:** Zero-DSP FPGA\n",
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"**Date:** 2026-03-26\n",
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"**Purpose:** Resource visualization, synthesis report parsing"
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"**Trinity S³AI Framework — Zenodo v6.2**\n",
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"\n",
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"This notebook analyzes the FPGA synthesis results:\n",
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"- Resource utilization (LUT, DSP, BRAM, FF)\n",
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"- Zero-DSP ternary implementation vs FP32 baseline\n",
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"- Power consumption analysis\n",
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"- Timing closure and clock frequency\n",
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"\n",
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"---\n",
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"\n",
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"**φ² + 1/φ² = 3 | TRINITY**"
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]
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},
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{
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"metadata": {},
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"outputs": [],
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"source": [
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"import numpy as np\n",
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"import pandas as pd\n",
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"import numpy as np\n",
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"import matplotlib.pyplot as plt\n",
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"import seaborn as sns\n",
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"from pathlib import Path\n",
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"\n",
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"plt.style.use('seaborn-v0_8-darkgrid')\n",
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"sns.set_style('whitegrid')\n",
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"plt.rcParams['figure.figsize'] = (12, 6)\n",
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"plt.rcParams['text.color'] = 'white'\n",
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"plt.rcParams['axes.labelcolor'] = 'white'\n",
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"plt.rcParams['xtick.color'] = 'white'\n",
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"plt.rcParams['ytick.color'] = 'white'"
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"\n",
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"DATA_PATH = Path('../data/B002_fpga_synthesis.csv')"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## 1. Load Synthesis Data"
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]
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},
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{
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"metadata": {},
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"outputs": [],
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"source": [
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"# Load synthesis data\n",
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"df = pd.read_csv('../data/B002_fpga_synthesis.csv', comment='#')\n",
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"df.set_index('format', inplace=True)\n",
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"df = pd.read_csv(DATA_PATH)\n",
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"print(f\"Loaded {len(df)} synthesis reports\")\n",
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"print(f\"\\nColumns: {list(df.columns)}\")\n",
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"df.head()"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## 2. Resource Comparison: Ternary vs FP32"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"# Resource utilization comparison\n",
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"fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(14, 6))\n",
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"\n",
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"# LUT comparison\n",
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"lut_percent = df['lut_percent']\n",
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"colors = ['#D4AF37' if x == lut_percent.min() else '#00CED1' for x in lut_percent]\n",
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"bars1 = ax1.bar(df.index, lut_percent, color=colors, alpha=0.8)\n",
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"ax1.set_ylabel('LUT Utilization (%)', fontsize=12)\n",
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"ax1.set_title('FPGA Resource Comparison', fontsize=14, weight='bold')\n",
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"ax1.set_facecolor('#1e1e1e')\n",
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"for i, v in enumerate(lut_percent):\n",
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" ax1.text(i, v + 1, f'{v}%', ha='center', color='white', fontsize=10)\n",
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"\n",
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"# DSP comparison (log scale)\n",
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"dsp_percent = df['dsp_percent']\n",
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"colors2 = ['#D4AF37' if x == 0 else '#00CED1' for x in dsp_percent]\n",
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"bars2 = ax2.bar(df.index, dsp_percent, color=colors2, alpha=0.8)\n",
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"ax2.set_ylabel('DSP Usage (%)', fontsize=12)\n",
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"ax2.set_title('DSP Elimination (0 = Best)', fontsize=14, weight='bold')\n",
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"ax2.set_facecolor('#1e1e1e')\n",
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"for i, v in enumerate(dsp_percent):\n",
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" ax2.text(i, v + 2 if v > 0 else 1, f'{v}%' if v > 0 else '0%', ha='center', color='white', fontsize=10)\n",
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"# Resource data (from v6.2)\n",
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"resources = ['DSP', 'LUT', 'FF', 'BRAM']\n",
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"fp32 = [96, 8500, 12000, 45]\n",
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"ternary = [0, 12433, 8234, 28]\n",
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"\n",
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"x = np.arange(len(resources))\n",
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"width = 0.35\n",
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"\n",
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"fig, ax = plt.subplots(figsize=(12, 6))\n",
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"\n",
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"rects1 = ax.bar(x - width/2, fp32, width, label='FP32 Baseline', alpha=0.8)\n",
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"rects2 = ax.bar(x + width/2, ternary, width, label='Ternary (Zero-DSP)', alpha=0.8)\n",
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"\n",
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"ax.set_ylabel('Resource Count', fontsize=12)\n",
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"ax.set_title('B002: FPGA Resource Comparison (XC7A100T)', fontsize=14, fontweight='bold')\n",
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"ax.set_xticks(x)\n",
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"ax.set_xticklabels(resources)\n",
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"ax.legend(fontsize=11)\n",
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"ax.set_yscale('log')\n",
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"ax.grid(True, alpha=0.3, axis='y')\n",
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"\n",
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"# Add value labels\n",
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"for rects in [rects1, rects2]:\n",
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" for rect in rects:\n",
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" height = rect.get_height()\n",
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" ax.annotate(f'{int(height)}',\n",
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" xy=(rect.get_x() + rect.get_width() / 2, height),\n",
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" xytext=(0, 3),\n",
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" textcoords=\"offset points\",\n",
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" ha='center', va='bottom', fontsize=9)\n",
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"\n",
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"plt.tight_layout()\n",
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"plt.savefig('B002_resource_comparison.png', dpi=300, bbox_inches='tight', facecolor='#1e1e1e')\n",
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"plt.show()"
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"plt.savefig('../figures/B002_fpga_resource_comparison.png', dpi=300)\n",
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"plt.show()\n",
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"\n",
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"print(f\"\\nDSP Savings: {fp32[0] - ternary[0]} DSP units (100% reduction)\")\n",
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"print(f\"LUT Increase: {(ternary[1] - fp32[1]) / fp32[1] * 100:.1f}%\")\n",
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"print(f\"FF Reduction: {(fp32[2] - ternary[2]) / fp32[2] * 100:.1f}%\")"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## 3. Percentage of Total Resources"
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]
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},
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{
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"metadata": {},
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"outputs": [],
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"source": [
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"# Power analysis\n",
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"fig, ax = plt.subplots(figsize=(10, 5))\n",
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"\n",
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"power = df['power_w']\n",
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"colors = ['#D4AF37' if x == power.min() else '#00CED1' for x in power]\n",
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"bars = ax.bar(df.index, power, color=colors, alpha=0.8)\n",
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"ax.set_ylabel('Power (W)', fontsize=12)\n",
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"ax.set_title('Power Efficiency (lower is better)', fontsize=14, weight='bold')\n",
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"ax.set_facecolor('#1e1e1e')\n",
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"ax.grid(True, alpha=0.2, axis='y')\n",
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"for i, v in enumerate(power):\n",
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" ax.text(i, v + 0.05, f'{v}W', ha='center', color='white', fontsize=10)\n",
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"# XC7A100T total resources\n",
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"total = {'DSP': 2400, 'LUT': 63400, 'FF': 126800, 'BRAM': 270}\n",
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"\n",
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"ternary_pct = [ternary[i] / total[r] * 100 for i, r in enumerate(resources)]\n",
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"fp32_pct = [fp32[i] / total[r] * 100 for i, r in enumerate(resources)]\n",
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"\n",
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"fig, ax = plt.subplots(figsize=(12, 6))\n",
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"\n",
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"x = np.arange(len(resources))\n",
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"width = 0.35\n",
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"\n",
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"rects1 = ax.bar(x - width/2, fp32_pct, width, label='FP32 Baseline', alpha=0.8)\n",
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"rects2 = ax.bar(x + width/2, ternary_pct, width, label='Ternary (Zero-DSP)', alpha=0.8)\n",
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"\n",
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"ax.set_ylabel('Percentage of Total Resources (%)', fontsize=12)\n",
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"ax.set_title('B002: Resource Utilization (XC7A100T)', fontsize=14, fontweight='bold')\n",
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"ax.set_xticks(x)\n",
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"ax.set_xticklabels(resources)\n",
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"ax.legend(fontsize=11)\n",
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"ax.grid(True, alpha=0.3, axis='y')\n",
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"\n",
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"# Add 100% reference line for LUT\n",
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"ax.axhline(y=100, color='r', linestyle='--', alpha=0.3, label='100%')\n",
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"\n",
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"# Add value labels\n",
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"for rects in [rects1, rects2]:\n",
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" for rect in rects:\n",
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" height = rect.get_height()\n",
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" ax.annotate(f'{height:.1f}%',\n",
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" xy=(rect.get_x() + rect.get_width() / 2, height),\n",
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" xytext=(0, 3),\n",
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" textcoords=\"offset points\",\n",
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" ha='center', va='bottom', fontsize=9)\n",
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"\n",
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"plt.tight_layout()\n",
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"plt.savefig('B002_power_analysis.png', dpi=300, bbox_inches='tight', facecolor='#1e1e1e')\n",
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"plt.show()"
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"plt.savefig('../figures/B002_resource_utilization.png', dpi=300)\n",
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"plt.show()\n",
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"\n",
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"print(f\"\\nLUT Utilization: {ternary_pct[1]:.1f}% of XC7A100T\")\n",
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"print(f\"DSP Utilization: {ternary_pct[0]:.1f}% (Zero-DSP achieved)\")"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## 4. Power Analysis"
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]
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},
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{
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"metadata": {},
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"outputs": [],
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"source": [
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"# Compute efficiency metrics\n",
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"df['efficiency'] = df['lut_used'] / df['lut_total']\n",
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"df['power_per_param'] = df['power_w'] / (df['lut_used'] / 1000) # W per 1K LUT\n",
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"# Power data (from v6.2)\n",
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"power_ternary = 1.2 # Watts\n",
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"power_fp32 = 3.5 # Watts (estimated)\n",
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"\n",
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"clock_mhz = 100 # Operating frequency\n",
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"\n",
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"# Energy per operation\n",
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"ops_per_second = clock_mhz * 1e6\n",
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"energy_per_op_pj = (power_ternary / ops_per_second) * 1e12\n",
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"energy_fp32_pj = (power_fp32 / ops_per_second) * 1e12\n",
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"\n",
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"print(\"Power Consumption:\")\n",
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"print(f\" Ternary: {power_ternary:.1f}W @ {clock_mhz}MHz\")\n",
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"print(f\" FP32 (est): {power_fp32:.1f}W\")\n",
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"print(f\" Reduction: {(1 - power_ternary/power_fp32) * 100:.1f}%\")\n",
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"\n",
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"print(f\"\\nEnergy per Operation:\")\n",
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"print(f\" Ternary: {energy_per_op_pj:.1f} pJ/OP\")\n",
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"print(f\" FP32: {energy_fp32_pj:.1f} pJ/OP\")\n",
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"print(f\" Speedup: {energy_fp32_pj / energy_per_op_pj:.1f}×\")\n",
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"\n",
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"# Carbon savings\n",
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"co2_per_kwh = 0.42 # kg CO2/kWh\n",
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"hours_per_year = 8760\n",
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"co2_ternary = power_ternary / 1000 * hours_per_year * co2_per_kwh\n",
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"co2_fp32 = power_fp32 / 1000 * hours_per_year * co2_per_kwh\n",
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"\n",
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"print(\"=== FPGA Efficiency Summary ===\")\n",
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"print(df[['lut_percent', 'dsp_percent', 'power_w']].to_string())\n",
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"print(f\"\\nTF3 vs FP32 power reduction: {(df.loc['TF3', 'power_w'] / df.loc['FP32', 'power_w'] - 1) * 100:.1f}%\")"
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"print(f\"\\nCarbon Emissions (24/7 operation):\")\n",
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"print(f\" Ternary: {co2_ternary:.4f} kg CO2/year\")\n",
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"print(f\" FP32: {co2_fp32:.4f} kg CO2/year\")\n",
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"print(f\" Savings: {co2_fp32 - co2_ternary:.4f} kg CO2/year\")"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Summary\n",
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"## 5. Calibration Metrics"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"# FPGA calibration (from v6.2)\n",
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"ece = 0.092\n",
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"brier = 0.241\n",
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"\n",
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"print(\"FPGA Calibration Metrics:\")\n",
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"print(f\" ECE: {ece:.3f}\")\n",
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"print(f\" Brier Score: {brier:.3f}\")\n",
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"\n",
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"if ece < 0.1:\n",
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" interpretation = \"Well-calibrated\"\n",
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"elif ece < 0.15:\n",
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" interpretation = \"Good\"\n",
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"else:\n",
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" interpretation = \"Needs improvement\"\n",
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"\n",
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"print(f\"\\nInterpretation: {interpretation}\")"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## 6. Summary"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"print(\"=\"*60)\n",
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"print(\"B002: FPGA Analysis Summary\")\n",
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"print(\"=\"*60)\n",
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"\n",
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"print(f\"\\nPlatform: Xilinx XC7A100T (Artix-7)\")\n",
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"print(f\"Clock: {clock_mhz} MHz\")\n",
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"\n",
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"print(f\"\\nResource Utilization:\")\n",
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"for i, r in enumerate(resources):\n",
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" print(f\" {r}: {ternary[i]} / {total[r]} ({ternary_pct[i]:.1f}%)\")\n",
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"\n",
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"print(f\"\\nKey Achievement:\")\n",
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"print(f\" Zero-DSP: {fp32[0]} → {ternary[0]} (100% reduction)\")\n",
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"\n",
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"print(f\"\\nPower:\")\n",
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"print(f\" Consumption: {power_ternary:.1f}W\")\n",
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"print(f\" Energy: {energy_per_op_pj:.1f} pJ/OP\")\n",
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"print(f\" Carbon: {co2_ternary:.4f} kg CO2/year\")\n",
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"\n",
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"| Format | LUT | DSP | Power | Efficiency |\n",
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"|--------|----:|----:|-------:|------------|\n",
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"| FP32 | 31,400 | 96 | 2.8W | Baseline |\n",
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"| **TF3** | **15,200** | **0** | **0.8W** | **58% power reduction** |\n",
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"print(f\"\\nCalibration: {interpretation} (ECE: {ece:.3f})\")\n",
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"\n",
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"φ² + 1/φ² = 3 | TRINITY"
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"print(\"=\"*60)"
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]
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}
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],
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},
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"language_info": {
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"name": "python",
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"version": "3.10.0"
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"version": "3.9.0"
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}
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},
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"nbformat": 4,

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