Re: Plotting polynomials to hard for Maple?

Newsgroups	comp.soft-sys.math.maple
Date	2017-10-24 00:07 -0700
References	<134b615a-0b23-4770-96bb-498f1be994d6@googlegroups.com>
Message-ID	<4e57a1f6-e879-4b25-bb8c-c1da2adcaa47@googlegroups.com> (permalink)
Subject	Re: Plotting polynomials to hard for Maple?
From	acer <maple@rogers.com>

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On Monday, October 23, 2017 at 5:36:09 PM UTC-4, Peter Luschny wrote:
> plot(5*x^4-20*x^3+30*x^2-20*x+5, x=0..1);
> 
> https://imgur.com/a/UMVI2

As usual Peter does not mention which Maple version he's using here. This makes it awkward to figure out the nature of the problem. I'll make a guess.

When the 2-D plot option `smartview` was introduced in Maple 16 it had a few problems. This option was `true` by default, one of the problems is that it could be too conservative in estimating that the curve had become steep enough to warrant limiting the displayed range.

If one executes Peter's example using, say, Maple 16.02 then the vertical range displayed goes from 0.0 only to about 2.5 (very much like in his linked image).

Specifying the option smartview=false explicitly resolves the problem in Maple 16.02. Eg.

  plot(5*x^4-20*x^3+30*x^2-20*x+5, x=0..1, smartview=false);

Improvements to the underlying scheme already make Peter's example show the full range from 0.0 to 5.0 in Maple 17.02 and onwards.

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Thread

Plotting polynomials to hard for Maple? Peter Luschny <peter.luschny@gmail.com> - 2017-10-23 14:36 -0700
  Re: Plotting polynomials to hard for Maple? William Unruh <unruh@invalid.ca> - 2017-10-24 03:59 +0000
    Re: Plotting polynomials to hard for Maple? Peter Luschny <peter.luschny@gmail.com> - 2017-10-26 02:39 -0700
  Re: Plotting polynomials to hard for Maple? acer <maple@rogers.com> - 2017-10-24 00:07 -0700
    Re: Plotting polynomials to hard for Maple? Peter Luschny <peter.luschny@gmail.com> - 2017-10-26 02:50 -0700
      Re: Plotting polynomials to hard for Maple? William Unruh <unruh@invalid.ca> - 2017-10-26 16:12 +0000
  Re: Plotting polynomials to hard for Maple? Juergen Barsuhn <jw.barsuhn@t-online.de> - 2017-11-01 16:12 +0100

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