156 lines
6.2 KiB
Org Mode
156 lines
6.2 KiB
Org Mode
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Yuko Development Notes
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* Purpose
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To replace Cora Phyco with unit conversion system using primarily
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integer arithmetic.
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* Style
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Instead of Cora Phyco-style
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conversion-constants-with-universal-converter, use more conventional
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function-per-unit-pair style. Results not prnted but left on top of
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stack for user to print or use in further calculation.
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Reduce supported units to minimum necessary to reduce number of
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functions to program.
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Reduce all ratios to lowest terms to reduce chance of overflow.
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* Conversion Ratios
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The statement "The ratio of unit A to unit B is x:y" means that for a
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given quantity, the magnitude of the quantity measured in unit A and
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the magnitude of the same quantity measured in unit B are in the
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ratio x:y. (NOT the ratio of the quantities of 1 unit of A and 1 unit
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of B.)
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** Linear measure
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Units: mm, in, ft, m, km, mi
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*** Defined ratios
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| in:mm | 10:254 = 5:127 |
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| m:mm | 1:1000 |
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| km:m | 1:1000 |
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| ft:in | 1:12 |
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| mi:ft | 1:5280 |
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*** Derived ratios
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| km:mm | 1:1000000 |
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| mi:in | 1:63360 |
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| ft:mm | 5:1524 |
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| mi:mm | 1:1609344 |
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| m:in | 127:5000 |
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| km:in | 127:5000000 |
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| m:ft | 381:1250 |
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| km:ft | 381:1250000 |
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| mi:m | 5000:8047863 |
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| mi:km | 5000000:8047863 |
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** Time
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Units: s, min, hr, day, yr
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| 60 s = 1 min | 60/1 | min>s | 60 * |
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| | | s>min | 60 / |
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| 3600 s = 1 hr | 3600/1 | hr>s | 3600 * |
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| | | s>hr | 3600 / |
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| 86400 s = 1 day | 86400/1 | day>s | 86400 * |
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| | | s>day | 86400 / |
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| 30780000 s = 1 yr | 30780000/1 | yr>s | 30780000 * |
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| | | s>yr | 30780000 / |
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| 60 min = 1 hr | 60/1 | hr>min | 60 * |
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| | | min>hr | 60 / |
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| 1440 min = 1 day | 1440/1 | day>min | 1440 * |
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| | | min>day | 1440 / |
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| 24 hr = 1 day | 24/1 | day>hr | 24 * |
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| | | hr>day | 24 / |
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| 513000 min = 1 yr | 513000/1 | yr>min | 513000 * |
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| | | min>yr | 513000 / |
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| 4 yr = 1425 day | | | |
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| | s | min | hr | day | yr |
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|-----+---------+----------+--------+---------+----------|
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| s | - | 60:1 | 3600:1 | 86400:1 | X |
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| min | 1:60 | - | 60:1 | 1440:1 | 525960:1 |
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| hr | 1:3600 | 1:60 | - | 24:1 | 8766:1 |
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| day | 1:86400 | 1:1440 | 1:24 | - | 1461:4 |
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| yr | X | 1:525960 | 1:8766 | 4:1461 | - |
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| s>min | 60 / | | min>s | 60 * |
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| s>hr | 3600 / | | hr>s | 3600 * |
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| s>day | 86400 / | | day>s | 86400 * |
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| min>hr | 60 / | | hr>min | 60 * |
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| min>day | 1440 / | | day>min | 1440 * |
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| min>yr | 525960 / | | yr>min | 525960 * |
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| hr>day | 24 / | | day>hr | 24 * |
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| hr>yr | 8766 / | | yr>hr | 8766 * |
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| day>yr | 4 1461 */ | | yr>day | 1461 4 */ |
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** Volume
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ML milliliter L liter
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TSP teaspoon TBSP tablespoon CUP FLOZ fluid ounce
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PT pint QT quart GAL gallon
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| 1000 ml = 1 l | 1000:1 |
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| 3 tsp = 1 tbsp | 3:1 |
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| 2 tbsp = 1 fl oz | 2:1 |
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| 48 tsp = 1 cup | 48:1 |
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| 8 fl oz = 1 cup | 8:1 |
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| 2 cup = 1 pt | 2:1 |
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| 2 pt = 1 qt | 2:1 |
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| 4 qt = 1 gal | 4:1 |
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| 3785.41784 ml = 1 gal | 378541784:100000 |
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| | 47317723:12500 |
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| (4.93 ml = 1 tsp) | |
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| | ml | tsp | tbsp | fl oz | cup | pt | qt | l | gal |
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| ml | - | 47317723 | 47317723 | 47317723 | 47317723 | 47317723 | 47317723 | 1000:1 | 47317723 |
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| | | :9600000 | :3200000 | :1600000 | :200000 | :100000 | :50000 | | :12500 |
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| tsp | 9600000: | - | 3:1 | 6:1 | 48:1 | 96:1 | 192:1 | 9600000000 | 768:1 |
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| | 47317723 | | | | | | | :47317723 | |
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| tbsp | 3200000: | 1:3 | - | 2:1 | 16:1 | 32:1 | 64:1 | 3200000000 | 256:1 |
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| | 47317723 | | | | | | | :47317723 | |
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| fl oz | 1600000: | 1:6 | 1:2 | - | 8:1 | 16:1 | 32:1 | 1600000000 | 128:1 |
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| | 47317723 | | | | | | | :47317723 | |
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| cup | 200000: | 1:48 | 1:16 | 1:8 | - | 2:1 | 4:1 | 200000000 | 16:1 |
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| | 47317723 | | | | | | | :47317723 | |
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| pt | 100000: | 1:96 | 1:32 | 1:16 | 1:2 | - | 2:1 | 100000000 | 8:1 |
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| | 47317723 | | | | | | | :47317723 | |
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| qt | 50000: | 1:192 | 1:64 | 1:32 | 1:4 | 1:2 | - | 50000000 | 4:1 |
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| | 47317723 | | | | | | | :47317723 | |
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| l | 1:1000 | 47317723: | 47317723: | 47317723: | 47317723: | 47317723: | 47317723: | - | 47317723: |
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| | | 9600000000 | 3200000000 | 1600000000 | 200000000 | 100000000 | 50000000 | | 12500000 |
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| gal | 12500: | 1:768 | 1:256 | 1:128 | 1:16 | 1:8 | 1:4 | 12500000: | - |
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| | 47317723 | | | | | | | 47317723 | |
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* Double-precision division
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dn = nl + m*nh
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dn / d = (nl + m*nh)/d
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= nl/d + m*nh/d
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: dn/ ( d n1 -- n2 ) tuck / rot rot / swap d>s ;
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(Thought I would need this for converting between seconds and years,
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but not so.)
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