diff options
| -rw-r--r-- | 8seg_digit_circuit.svg | 1065 | ||||
| -rw-r--r-- | 8seg_strand_power_distribution.svg | 500 | ||||
| -rw-r--r-- | center_fw/src/main.c | 2 | ||||
| -rw-r--r-- | led_tape.svg | 48 | ||||
| -rw-r--r-- | len_map.py | 96 |
5 files changed, 1687 insertions, 24 deletions
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style="text-align:start" + id="tspan28">l = 100.0 - 2*3.0 = 94 cm</tspan></tspan></text> + <text + xml:space="preserve" + transform="matrix(0.24548338,0,0,0.24548338,-63.172964,-83.102724)" + id="text82" + style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:18.6667px;line-height:normal;font-family:'Sitka Display';-inkscape-font-specification:'Sitka Display';text-align:end;text-decoration-color:#000000;white-space:pre;shape-inside:url(#rect82);display:inline;fill:#000000;stroke:none;stroke-width:46.0317;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none" + x="-143.86632" + y="0"><tspan + x="670.42383" + y="514.88774" + id="tspan37"><tspan + style="text-align:start" + id="tspan35">l = 130 - 2*3.0 = 124 cm</tspan></tspan></text> + <text + xml:space="preserve" + transform="matrix(0.24548338,0,0,0.24548338,-55.690478,-78.316574)" + id="text83" + 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0.1 + 0.2 + 0.2 m = 3.3 m</tspan></tspan></text> + <path + style="fill:none;stroke:#000000;stroke-width:0.3;stroke-linecap:round;stroke-linejoin:round" + d="m 168.77046,80.570218 h 12.4892" + id="path67" + sodipodi:nodetypes="cc" /> + <path + style="fill:none;stroke:#000000;stroke-width:0.3;stroke-linecap:round;stroke-linejoin:round" + d="m 166.39244,82.867536 h 2.07802" + id="path68" + sodipodi:nodetypes="cc" /> + <path + style="fill:none;stroke:#000000;stroke-width:0.3;stroke-linecap:round;stroke-linejoin:round" + d="m 196.52763,80.570218 h 12.4892" + id="path69" + sodipodi:nodetypes="cc" /> + <path + style="fill:none;stroke:#000000;stroke-width:0.3;stroke-linecap:round;stroke-linejoin:round" + d="m 194.14961,82.867536 h 2.07802" + id="path70" + sodipodi:nodetypes="cc" /> + <path + style="fill:none;stroke:#000000;stroke-width:0.3;stroke-linecap:round;stroke-linejoin:round" + d="m 223.72646,80.570218 h 12.4892" + id="path71" + sodipodi:nodetypes="cc" /> + <path + style="fill:none;stroke:#000000;stroke-width:0.3;stroke-linecap:round;stroke-linejoin:round" + d="m 221.34844,82.867536 h 2.07802" + id="path72" + sodipodi:nodetypes="cc" /> + <path + style="fill:#000000;stroke:#808080;stroke-width:0.15;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none" + d="M 140.45158,73.993385 V 88.513586" + id="path73" /> + <path + style="fill:#000000;stroke:#808080;stroke-width:0.15;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none" + d="M 168.714,73.993385 V 88.513586" + id="path74" /> + <path + style="fill:#000000;stroke:#808080;stroke-width:0.15;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none" + d="M 196.30263,73.993385 V 88.513586" + id="path75" /> + <path + style="fill:#000000;stroke:#808080;stroke-width:0.15;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none" + d="M 223.71141,73.993385 V 88.513586" + id="path76" /> + <text + xml:space="preserve" + transform="matrix(0.26458333,0,0,0.26458333,23.84675,-15.672795)" + id="text76" + style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:18.6667px;line-height:normal;font-family:'Sitka Display';-inkscape-font-specification:'Sitka Display';text-align:end;text-decoration-color:#000000;white-space:pre;shape-inside:url(#rect76);display:inline;fill:#000000;stroke:none;stroke-width:0.566929;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none"><tspan + x="472.27943" + y="215.97367" + id="tspan23">Splitter "A" side is cable red side</tspan></text> + <text + xml:space="preserve" + transform="matrix(0.26458333,0,0,0.26458333,-1.1460406,-9.3386453)" + id="text77" + style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:18.6667px;line-height:normal;font-family:'Sitka Display';-inkscape-font-specification:'Sitka 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+#!/usr/bin/env python3 + +# This script calculates the optimal cut distribution to reduce waste while matching the desired 2:2:4 segment count +# It applies brute force since the problem space is very small. + +import numpy as np +import itertools + +l_tot = 500 + +a, b, c = 94, 124, 80 +n, m, l = 2, 2, 4 +arr = np.array([a, b, c], dtype=int) +arr_count = np.array([n, m, l], dtype=int) + +# Find all possible splits of a [l_tot] m led tape into segments of lengths [a], [b] and [c] that leave a remainder +# that's smaller than any of [a], [b] and [c]. +candidates = [] +for i in range(l_tot//a + 1): + l_rem_i = l_tot - i*a + if l_rem_i < 0: + continue + + for j in range(l_rem_i//b + 1): + l_rem_j = l_rem_i - j*b + if l_rem_j < 0: + continue + + k = l_rem_j // c + l_rem_k = l_rem_j - k*c + + print(f'Candidate: ({i} {j} {k}) {i=}*{a} {j=}*{b=} {k=}*{c=} => remainder {l_rem_k}') + candidates.append((i, j, k)) +candidates = np.array(candidates, dtype=int) +print() + +# Find all ways to combine the cuts found above to cut [num_rolls] into segments, where the amount of segments of length +# [a], [b], and [c] that we get in total best matches the proportions we need ([n] times [a], [m] times [b], [l] times +# [c], so 2:2:4 times for 94:124:80 cm) +num_rolls = 3 +indices_seen = set() +out = [] +for indices in itertools.product(candidates, repeat=num_rolls): + indices = np.array(indices) + index_tup = tuple(sorted(map(tuple, indices))) + if index_tup in indices_seen: + continue + indices_seen.add(index_tup) + rem = l_tot - (indices * arr).sum(axis=1) + rem_total = rem.sum() + count_total = indices.sum(axis=0).astype(float) + count_total /= arr_count + spread = count_total.max() - count_total.min() + + if spread > 2 or (rem < 2).any(): + continue + print(indices.tolist(), f'{rem_total=} {spread=}') + out.append((spread, rem_total, indices.tolist(), rem.tolist(), indices.sum(axis=0).tolist())) +print() + +# Print out the n best matches found. Sort first by how close we match our target 2:2:4 ratio, then by how much waste +# we leave. +print('Best matches:') +for spread, rem_total, indices, rem, index_sum in sorted(out, key=lambda x: (x[0], x[1]))[:25]: + print(indices, f'{spread=} {rem_total=} {rem=} {index_sum=}') + +# Here's the output for future reference. There are a number of combinations that produce 68 cm of waste split across +# three 5m rolls of tape. We selected # 1 since it leaves leftovers of useful lengths. +# +# Best matches: +# [[0, 0, 6], [0, 4, 0], [4, 0, 1]] spread=0.25 rem_total=68 rem=[20, 4, 44] index_sum=[4, 4, 7] +# [[0, 0, 6], [1, 3, 0], [3, 1, 1]] spread=0.25 rem_total=68 rem=[20, 34, 14] index_sum=[4, 4, 7] +# [[0, 2, 3], [0, 2, 3], [4, 0, 1]] spread=0.25 rem_total=68 rem=[12, 12, 44] index_sum=[4, 4, 7] +# [[0, 2, 3], [1, 1, 3], [3, 1, 1]] spread=0.25 rem_total=68 rem=[12, 42, 14] index_sum=[4, 4, 7] +# [[0, 2, 3], [2, 1, 2], [2, 1, 2]] spread=0.25 rem_total=68 rem=[12, 28, 28] index_sum=[4, 4, 7] +# [[0, 3, 1], [1, 0, 5], [3, 1, 1]] spread=0.25 rem_total=68 rem=[48, 6, 14] index_sum=[4, 4, 7] +# [[0, 4, 0], [1, 0, 5], [3, 0, 2]] spread=0.25 rem_total=68 rem=[4, 6, 58] index_sum=[4, 4, 7] +# [[1, 0, 5], [1, 3, 0], [2, 1, 2]] spread=0.25 rem_total=68 rem=[6, 34, 28] index_sum=[4, 4, 7] +# [[0, 0, 6], [0, 3, 1], [3, 1, 1]] spread=0.5 rem_total=82 rem=[20, 48, 14] index_sum=[3, 4, 8] +# [[0, 0, 6], [0, 4, 0], [3, 0, 2]] spread=0.5 rem_total=82 rem=[20, 4, 58] index_sum=[3, 4, 8] +# [[0, 0, 6], [1, 3, 0], [2, 1, 2]] spread=0.5 rem_total=82 rem=[20, 34, 28] index_sum=[3, 4, 8] +# [[0, 1, 4], [0, 2, 3], [3, 1, 1]] spread=0.5 rem_total=82 rem=[56, 12, 14] index_sum=[3, 4, 8] +# [[0, 2, 3], [0, 2, 3], [3, 0, 2]] spread=0.5 rem_total=82 rem=[12, 12, 58] index_sum=[3, 4, 8] +# [[0, 2, 3], [1, 0, 5], [2, 2, 0]] spread=0.5 rem_total=82 rem=[12, 6, 64] index_sum=[3, 4, 8] +# [[0, 2, 3], [1, 1, 3], [2, 1, 2]] spread=0.5 rem_total=82 rem=[12, 42, 28] index_sum=[3, 4, 8] +# [[0, 3, 1], [1, 0, 5], [2, 1, 2]] spread=0.5 rem_total=82 rem=[48, 6, 28] index_sum=[3, 4, 8] +# [[0, 4, 0], [1, 0, 5], [2, 0, 3]] spread=0.5 rem_total=82 rem=[4, 6, 72] index_sum=[3, 4, 8] +# [[1, 0, 5], [1, 1, 3], [1, 3, 0]] spread=0.5 rem_total=82 rem=[6, 42, 34] index_sum=[3, 4, 8] +# [[0, 0, 6], [0, 3, 1], [4, 0, 1]] spread=0.5 rem_total=112 rem=[20, 48, 44] index_sum=[4, 3, 8] +# [[0, 0, 6], [1, 2, 1], [3, 1, 1]] spread=0.5 rem_total=112 rem=[20, 78, 14] index_sum=[4, 3, 8] +# [[0, 0, 6], [1, 3, 0], [3, 0, 2]] spread=0.5 rem_total=112 rem=[20, 34, 58] index_sum=[4, 3, 8] +# [[0, 0, 6], [2, 1, 2], [2, 2, 0]] spread=0.5 rem_total=112 rem=[20, 28, 64] index_sum=[4, 3, 8] +# [[0, 1, 4], [0, 2, 3], [4, 0, 1]] spread=0.5 rem_total=112 rem=[56, 12, 44] index_sum=[4, 3, 8] +# [[0, 1, 4], [1, 1, 3], [3, 1, 1]] spread=0.5 rem_total=112 rem=[56, 42, 14] index_sum=[4, 3, 8] +# [[0, 1, 4], [2, 1, 2], [2, 1, 2]] spread=0.5 rem_total=112 rem=[56, 28, 28] index_sum=[4, 3, 8] + |
