153 lines
4.3 KiB
Text
153 lines
4.3 KiB
Text
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 5,
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"id": "3936f121-1d67-439f-ac1b-4266c342b07a",
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"metadata": {},
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"outputs": [],
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"source": [
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"import math\n",
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"import itertools\n"
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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": 35,
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"id": "0a55efe3-e46c-4e6e-a5ca-4e58084552e9",
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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" 0.1 0.1 +0.0 % \n",
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" 0.2 0.2 +0.0 % \n",
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" 0.4 0.4 +0.0 % \n",
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" 0.8 0.8 +0.0 % \n",
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" 1.6 1.6 +0.0 % \n",
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" 3.2 3.2 +0.0 % \n",
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" 6.4 6.4 +0.0 % \n",
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" 12.8 12.8 +0.0 % \n",
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" 25.6 25.6 +0.0 % \n",
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" 51.2 51.2 +0.0 % \n",
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" 102.4 102.4 +0.0 % \n",
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" 204.8 205.0 +0.1 % \n",
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" 409.6 410.0 +0.1 % \n",
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" 819.2 820.0 +0.1 % \n",
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"1638.4 1650.0 +0.7 % \n",
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"3276.8 3280.0 +0.1 % \n",
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"6553.6 6550.0 -0.1 % \n"
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]
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}
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],
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"source": [
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"C_dict = {\n",
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" # capacitance [nF]: (tolerance [%], cost [USD])\n",
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" 0.1: (1, 0.01),\n",
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" 1.0: (1, 0.01),\n",
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" 10.0: (5, 0.01),\n",
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" 100.0: (5, 0.10),\n",
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" 1000.0: (5, 0.50),\n",
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" 1500.0: (5, 0.70),\n",
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" 4700.0: (10, 1.00)}\n",
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"\n",
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"def series(*caps):\n",
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" if any(math.isclose(c, 0) for c in caps):\n",
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" return 0\n",
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" return 1/sum(1/c for c in caps)\n",
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"\n",
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"def parallel(*caps):\n",
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" return sum(caps)\n",
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"\n",
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"target_values = [0.1 * 2**i for i in range(17)] # in nF\n",
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" \n",
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"def evaluate(program):\n",
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" stack = []\n",
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" for op in program:\n",
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" if op == '+':\n",
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" stack.append(parallel(stack.pop(), stack.pop()))\n",
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" elif op == '*':\n",
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" stack.append(series(stack.pop(), stack.pop()))\n",
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" else:\n",
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" stack.append(op)\n",
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" return stack.pop()\n",
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"\n",
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"def parse_program(program):\n",
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" return [\n",
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" e if e in '+*' else float(e) for e in program.strip().split()\n",
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" ]\n",
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"\n",
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"programs = {\n",
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" 0.1: '0.1',\n",
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" 0.2: '0.1 0.1 +',\n",
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" 0.4: '0.1 0.1 0.1 0.1 + + +',\n",
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" 0.8: '1.0 1.0 * 0.1 0.1 0.1 + + +',\n",
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" 1.6: '1.0 1.0 * 1.0 + 0.1 +',\n",
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" 3.2: '1.0 1.0 1.0 + + 0.1 0.1 + +',\n",
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" 6.4: '10 10 * 1 + 0.1 0.1 0.1 0.1 + + + +',\n",
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" 12.8: '10 1 1 + + 1 1 * + 0.1 0.1 0.1 + + +',\n",
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" 25.6: '10 10 + 10 10 * + 1 1 * + 0.1 +',\n",
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" 51.2: '100 100 * 1 + 0.1 0.1 + +',\n",
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" 102.4: '100 1 1 + + 0.1 0.1 0.1 0.1 + + + +',\n",
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" 204.8: '100 100 + 10 10 * +',\n",
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" 409.6: '100 100 100 100 + + + 10 +',\n",
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" 819.2: '100 100 100 100 100 100 100 100 + + + + + + + 10 10 + +',\n",
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" 1638.4: '1500 100 + 100 100 * +',\n",
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" 3276.8: '1500 1500 + 100 100 + + 100 100 * + 10 10 10 + + +',\n",
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" 6553.6: '1500 1500 1500 1500 + + + 100 100 100 100 100 + + + + + 100 100 * +',\n",
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"}\n",
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"\n",
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"for target, program in programs.items():\n",
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" if program:\n",
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" res = evaluate(parse_program(program))\n",
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" dev_percent = 100*((res - target) / target)\n",
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" print(f'{target:>6.1f} {res:>6.1f} {dev_percent:+.1f} %', 'ERROR' if abs(target/res - 1) > 0.01 else '')"
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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": 29,
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"id": "d76a1d52-14c0-470a-969b-e8d768d85929",
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"700.0"
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]
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},
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"execution_count": 29,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"# Offset caps:\n",
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"evaluate(parse_program('10 10 10 10 + + + 10 10 * +'))\n",
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"evaluate(parse_program('100 100 100 100 100 100 100 + + + + + +'))"
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]
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}
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],
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"metadata": {
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"kernelspec": {
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"display_name": "decade-box",
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"language": "python",
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"name": "decade-box"
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},
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"language_info": {
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"codemirror_mode": {
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"name": "ipython",
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"version": 3
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},
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"file_extension": ".py",
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"mimetype": "text/x-python",
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"name": "python",
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"nbconvert_exporter": "python",
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"pygments_lexer": "ipython3",
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"version": "3.13.11"
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}
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},
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"nbformat": 4,
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"nbformat_minor": 5
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}
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