Graph plotting and "The precision of the argument function is less
- To: mathgroup at smc.vnet.net
- Subject: [mg126871] Graph plotting and "The precision of the argument function is less
- From: jdm <james.d.mclaughlin at gmail.com>
- Date: Thu, 14 Jun 2012 05:33:40 -0400 (EDT)
- Delivered-to: l-mathgroup@mail-archive0.wolfram.com
I've got a function, integratedadvthirdaltb, that I'm trying to use in plotting some graphs: thirdaltb[KP_, Ps_, C_, M_] := NSolve[Sqrt[2*M]*b + InverseCDF[NormalDistribution[0, 1], Ps]* Sqrt[4*(InverseCDF[NormalDistribution[0, 1], Ps]^2) + 4*Sqrt[2*M]*b + (2.785398163397448309616)*M] == KP*C - 2*(InverseCDF[NormalDistribution[0, 1], Ps]^2), b, WorkingPrecision -> 20] directadv[b_] := -Log2[1 - CDF[NormalDistribution[0, 1], b]] integratedadvthirdaltb[KP_, Ps_, C_, M_] := directadv[b /. thirdaltb[KP, Ps, C, M]] So far so good. However, the first graph I've tried to plot is giving me a lot of "The precision of the argument function ({6.6073 +4\ Sqrt[2]\ \ b+1.83842\ Sqrt[58.0856 +16\Sqrt[2]\b]}\\n) is less than \ WorkingPrecision" errors (in fact, that's not the only argument function that apparently has less than WorkingPrecision.) Having WorkingPrecision->20 in the definition of the thirdaltb function, I'm at a loss as to why I'm getting these errors. That said, the first graph does get plotted. Here's the instruction to do so LogLinearPlot[{integratedadvthirdaltb[x, 0.967, 2^(-5.35614381), 2^(4)]}, {x, 2^(9), 2^(13)}, AxesLabel -> {KPs, advantage}, PlotLabel -> Style["HEYSFIRST6622NONLINEAR - theoretical advantage with Ps = \ 0.97"], PlotRange -> {0, 12}, PlotStyle -> {Blue}, Ticks -> {{{2^(9), Superscript[2, Log2[2^(9)]]}, {2^(10), Superscript[2, Log2[2^(10)]]}, {2^(11), Superscript[2, Log2[2^(11)]]}, {2^(12), Superscript[2, Log2[2^(12)]]}, {2^(13), Superscript[2, Log2[2^(13)]]}}, Automatic}, WorkingPrecision -> 20] The next graph I've tried to plot, however, is completely blank. Only the axes and heading/labels appear on screen. And I'm getting a lot more "The precision of the argument function ... is less than Working Precision" messages than I was for its predecessor: LogLinearPlot[{integratedadvthirdaltb[x, 0.967, 2^(-8), 1]}, {x, 2^(9), 2^(13)}, AxesLabel -> {KPs, advantage}, PlotLabel -> Style["CRYPRACTHREEFOURROUNDSTWELVEBITS - theoretical advantage \ with Ps = 0.97"], PlotRange -> {0, 12}, PlotStyle -> {Red}, Ticks -> {{{2^(9), Superscript[2, Log2[2^(9)]]}, {2^(10), Superscript[2, Log2[2^(10)]]}, {2^(11), Superscript[2, Log2[2^(11)]]}, {2^(12), Superscript[2, Log2[2^(12)]]}, {2^(13), Superscript[2, Log2[2^(13)]]}}, Automatic}, WorkingPrecision -> 20] Does anyone have any ideas as to what I'm doing wrong and how I can put it right? Thanks! James McLaughlin.