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Challenges Evaluate a single variable polynomial equation

APL (Dyalog Unicode), 11 3 1 byte ⊥ Try it online! Anyone who can golf this further gets a cookie! Function submission which takes reversed coefficients as right argument and $x$ as left ar...

posted 4y ago by Razetime‭  ·  edited 4y ago by Razetime‭

Answer
#5: Post edited by user avatar Razetime‭ · 2020-11-15T05:58:24Z (almost 4 years ago)
-2 bytes
  • # [APL (Dyalog Unicode)], <sup><del>11</del></sup> 3 bytes
  • <!-- language-all: lang-apl -->
  • ∘⌽
  • [Try it online!][TIO-khik693b]
  • [APL (Dyalog Unicode)]: https://www.dyalog.com/
  • [TIO-khik693b]: https://tio.run/##SyzI0U2pTMzJT///qG@qp/@jtgkG/x91LX3UMeNRz97/aUD@o96@R13Nj3rXPOrdcmi98aO2iUCVwUHOQDLEwzP4v6GFkUKagoahJpcJmNYx0uQy0DMFsY30TEE8QwjPUM9AxwiIjYHYRM9AEwA "APL (Dyalog Unicode) – Try It Online"
  • Function submission which takes coefficients as right argument and \$x\$ as left argument.
  • -8 bytes from dzaima and rak1507([APL Orchard](https://chat.stackexchange.com/transcript/message/56155063#56155063)).
  • Uses a simple decode.
  • # [APL (Dyalog Unicode)], <sup><del>11</del></sup> <sup><del>3</del></sup> 1 byte
  • <!-- language-all: lang-apl -->
  • [Try it online!][TIO-khiphjoa]
  • [APL (Dyalog Unicode)]: https://www.dyalog.com/
  • [TIO-khiphjoa]: https://tio.run/##SyzI0U2pTMzJT///qG@qp/@jtgkG/x91Lf2fBmQ96u171NX8qHfNo94th9YbP2qbCFQTHOQMJEM8PIP/G1oYKaQpPOrZq2GoyWUCY@oYaXIZ6JlCuUZ6piABQ7iAoZ6BjhEQGwOxiZ6BJgA "APL (Dyalog Unicode) – Try It Online"
  • Anyone who can golf this further gets a cookie!
  • Function submission which takes reversed coefficients as right argument and \$x\$ as left argument.
  • -8 bytes from dzaima and rak1507([APL Orchard](https://chat.stackexchange.com/transcript/message/56155063#56155063)).
  • -2 bytes from Adám‭.
  • Uses a mixed base conversion.
#4: Post edited by user avatar Razetime‭ · 2020-11-15T03:39:53Z (almost 4 years ago)
  • # [APL (Dyalog Unicode)], <strike><sup>11</strike></sup> 3 bytes
  • <!-- language-all: lang-apl -->
  • ⊥∘⌽
  • [Try it online!][TIO-khik693b]
  • [APL (Dyalog Unicode)]: https://www.dyalog.com/
  • [TIO-khik693b]: https://tio.run/##SyzI0U2pTMzJT///qG@qp/@jtgkG/x91LX3UMeNRz97/aUD@o96@R13Nj3rXPOrdcmi98aO2iUCVwUHOQDLEwzP4v6GFkUKagoahJpcJmNYx0uQy0DMFsY30TEE8QwjPUM9AxwiIjYHYRM9AEwA "APL (Dyalog Unicode) – Try It Online"
  • Function submission which takes coefficients as right argument and \$x\$ as left argument.
  • -8 bytes from dzaima and rak1507([APL Orchard](https://chat.stackexchange.com/transcript/message/56155063#56155063)).
  • Uses a simple decode.
  • # [APL (Dyalog Unicode)], <sup><del>11</del></sup> 3 bytes
  • <!-- language-all: lang-apl -->
  • ⊥∘⌽
  • [Try it online!][TIO-khik693b]
  • [APL (Dyalog Unicode)]: https://www.dyalog.com/
  • [TIO-khik693b]: https://tio.run/##SyzI0U2pTMzJT///qG@qp/@jtgkG/x91LX3UMeNRz97/aUD@o96@R13Nj3rXPOrdcmi98aO2iUCVwUHOQDLEwzP4v6GFkUKagoahJpcJmNYx0uQy0DMFsY30TEE8QwjPUM9AxwiIjYHYRM9AEwA "APL (Dyalog Unicode) – Try It Online"
  • Function submission which takes coefficients as right argument and \$x\$ as left argument.
  • -8 bytes from dzaima and rak1507([APL Orchard](https://chat.stackexchange.com/transcript/message/56155063#56155063)).
  • Uses a simple decode.
#3: Post edited by user avatar Razetime‭ · 2020-11-15T03:33:54Z (almost 4 years ago)
-8 bytes
  • # [APL (Dyalog Unicode)], 11 [bytes](https://github.com/abrudz/SBCS)
  • <!-- language-all: lang-apl -->
  • {+/⍺×⍵*⍳≢⍺}
  • [Try it online!][TIO-khh92dss]
  • [APL (Dyalog Unicode)]: https://www.dyalog.com/
  • [TIO-khh92dss]: https://tio.run/##SyzI0U2pTMzJT///qG@qp/@jtgkG/6u19R/17jo8/VHvVq1HvZsfdS4Ccmv/pwElH/X2PepqftS75lHvlkPrjR@1TQRqCw5yBpIhHp7B/zUMNRXSFAwtjLg0DHWMQGwTLg0jPVMI20DPFCiuZ6CjYAQijEGEiZ4BWIueKQA "APL (Dyalog Unicode) – Try It Online"
  • Function submission which takes coefficients as left argument and \$x\$ as right argument.
  • Assumes `⎕IO←0` (0-indexing)
  • ## Explanation
  • ```
  • {+/⍺×⍵*⍳≢⍺}
  • ≢⍺ length of the coefficients
  • ⍳ range 0..length-1
  • ⍵* x to the power of each of those
  • ⍺× multiply that by the coefficients
  • +/ and fold the list by addition(sum it)
  • # [APL (Dyalog Unicode)], <strike><sup>11</strike></sup> 3 bytes
  • <!-- language-all: lang-apl -->
  • ⊥∘⌽
  • [Try it online!][TIO-khik693b]
  • [APL (Dyalog Unicode)]: https://www.dyalog.com/
  • [TIO-khik693b]: https://tio.run/##SyzI0U2pTMzJT///qG@qp/@jtgkG/x91LX3UMeNRz97/aUD@o96@R13Nj3rXPOrdcmi98aO2iUCVwUHOQDLEwzP4v6GFkUKagoahJpcJmNYx0uQy0DMFsY30TEE8QwjPUM9AxwiIjYHYRM9AEwA "APL (Dyalog Unicode) – Try It Online"
  • Function submission which takes coefficients as right argument and \$x\$ as left argument.
  • -8 bytes from dzaima and rak1507([APL Orchard](https://chat.stackexchange.com/transcript/message/56155063#56155063)).
  • Uses a simple decode.
#2: Post edited by user avatar Razetime‭ · 2020-11-14T14:43:34Z (almost 4 years ago)
  • # [APL (Dyalog Unicode)], 22 [bytes](https://github.com/abrudz/SBCS)
  • <!-- language-all: lang-apl -->
  • {+/⍺×⍵*⍳≢⍺}
  • [Try it online!][TIO-khh92dss]
  • [APL (Dyalog Unicode)]: https://www.dyalog.com/
  • [TIO-khh92dss]: https://tio.run/##SyzI0U2pTMzJT///qG@qp/@jtgkG/6u19R/17jo8/VHvVq1HvZsfdS4Ccmv/pwElH/X2PepqftS75lHvlkPrjR@1TQRqCw5yBpIhHp7B/zUMNRXSFAwtjLg0DHWMQGwTLg0jPVMI20DPFCiuZ6CjYAQijEGEiZ4BWIueKQA "APL (Dyalog Unicode) – Try It Online"
  • Function submission which takes coefficients as left argument and \$x\$ as right argument.
  • Assumes `⎕IO←0` (0-indexing)
  • ## Explanation
  • ```
  • {+/⍺×⍵*⍳≢⍺}
  • ≢⍺ length of the coefficients
  • ⍳ range 0..length-1
  • ⍵* x to the power of each of those
  • ⍺× multiply that by the coefficients
  • +/ and fold the list by addition(sum it)
  • # [APL (Dyalog Unicode)], 11 [bytes](https://github.com/abrudz/SBCS)
  • <!-- language-all: lang-apl -->
  • {+/⍺×⍵*⍳≢⍺}
  • [Try it online!][TIO-khh92dss]
  • [APL (Dyalog Unicode)]: https://www.dyalog.com/
  • [TIO-khh92dss]: https://tio.run/##SyzI0U2pTMzJT///qG@qp/@jtgkG/6u19R/17jo8/VHvVq1HvZsfdS4Ccmv/pwElH/X2PepqftS75lHvlkPrjR@1TQRqCw5yBpIhHp7B/zUMNRXSFAwtjLg0DHWMQGwTLg0jPVMI20DPFCiuZ6CjYAQijEGEiZ4BWIueKQA "APL (Dyalog Unicode) – Try It Online"
  • Function submission which takes coefficients as left argument and \$x\$ as right argument.
  • Assumes `⎕IO←0` (0-indexing)
  • ## Explanation
  • ```
  • {+/⍺×⍵*⍳≢⍺}
  • ≢⍺ length of the coefficients
  • ⍳ range 0..length-1
  • ⍵* x to the power of each of those
  • ⍺× multiply that by the coefficients
  • +/ and fold the list by addition(sum it)
#1: Initial revision by user avatar Razetime‭ · 2020-11-14T05:32:20Z (almost 4 years ago)
# [APL (Dyalog Unicode)], 22 [bytes](https://github.com/abrudz/SBCS)

<!-- language-all: lang-apl -->

    {+/⍺×⍵*⍳≢⍺}

[Try it online!][TIO-khh92dss]

[APL (Dyalog Unicode)]: https://www.dyalog.com/
[TIO-khh92dss]: https://tio.run/##SyzI0U2pTMzJT///qG@qp/@jtgkG/6u19R/17jo8/VHvVq1HvZsfdS4Ccmv/pwElH/X2PepqftS75lHvlkPrjR@1TQRqCw5yBpIhHp7B/zUMNRXSFAwtjLg0DHWMQGwTLg0jPVMI20DPFCiuZ6CjYAQijEGEiZ4BWIueKQA "APL (Dyalog Unicode) – Try It Online"

Function submission which takes coefficients as left argument and \$x\$ as right argument.

Assumes `⎕IO←0` (0-indexing)

## Explanation
```
{+/⍺×⍵*⍳≢⍺}
        ≢⍺  length of the coefficients
       ⍳     range 0..length-1
     ⍵*      x to the power of each of those
   ⍺×        multiply that by the coefficients
 +/          and fold the list by addition(sum it)