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                ??一站式輕松地調用各大LLM模型接口,支持GPT4、智譜、豆包、星火、月之暗面及文生圖、文生視頻 廣告
                本文最初寫于 2011-07-03于 sohu 博客,這次博客搬家一起搬到這里來。 版權所有,轉載請注明出處。 ? 1.3 二維參數方程繪圖 如果在函數列表之前加上 parametric,就代表參數方程作圖。 nticks 參數控制畫圖時函數計算取樣的數目。如果這個值過小,可能畫出的函數曲線不夠平滑。 | (%i1) | wxplot2d([parametric, sin(t), cos(t)/2], [t, - %pi, %pi], [nticks, 10]); | |-----|-----| ![](https://box.kancloud.cn/2016-01-24_56a4233b5e7ca.PNG) 默認的nticks = 10, 只有十個點得到的圖形失真很嚴重。將 nticks 加大到 200 后曲線變的光滑的多。 | (%i2) | wxplot2d([parametric, sin(t), cos(t)/2], [t, - %pi, %pi], [nticks, 200]); | |-----|-----| ![](https://box.kancloud.cn/2016-01-24_56a4233b6a607.PNG) 下面用參數方程繪制出蝴蝶曲線。 <table><tbody><tr><td><span>(%i3) </span></td><td><span>r: (exp(cos(t))-2*cos(4*t)-sin(t/12)^5)$<br/>wxplot2d([parametric, r*sin(t), r*cos(t), [t, -8*%pi, 8*%pi], [nticks, 2000]])$ </span></td></tr></tbody></table> ![](https://box.kancloud.cn/2016-01-24_56a4233b77945.PNG) 同樣,參數方程也可以和其他類型的曲線繪制于同一幅圖中。下面的例子用到了各種常見選項。 <table><tbody><tr><td><span>(%i9) </span></td><td><span>wxplot2d([[parametric, 5*sin(t), 6*cos(t)], [discrete,xx,yy]], <br/>[t, 0, %pi], [nticks, 200],[style, [lines, 1, 2], [points, 3, 1, 11]],<br/>?[legend, "parametric", "discrete"],[xlabel, "time"], [ylabel, "position(m)"]); </span></td></tr></tbody></table> ![](https://box.kancloud.cn/2016-01-24_56a4233b87b7f.PNG) 數據點還可以在一個列表中,下面是一個例子: <table><tbody><tr><td><span>(%i10) </span></td><td><span>xy: [[10, .6], [20, .9], [30, 1.1], [40, 1.3], [50, 1.4]]$<br/>wxplot2d([[discrete, xy], 2*%pi*sqrt(l/980)], [l,0,50],<br/>????????[style, points, lines], [color, red, blue], [point_type, asterisk],<br/>????????[legend, "experiment", "theory"],<br/>????????[xlabel, "pendulum's length (cm)"], [ylabel, "period (s)"])$ </span></td></tr></tbody></table> ![](https://box.kancloud.cn/2016-01-24_56a4233b95d59.PNG) 等高線繪圖 contour_plot (x^2 + y^2, [x, -4, 4], [y, -4, 4])$ ![](https://box.kancloud.cn/2016-01-24_56a4233ba0b9a.PNG) contour_plot (u^3 + v^2, [u, -4, 4], [v, -4, 4], ???????????? [legend,false], [grid, 500, 500], ???????????? [gnuplot_preamble,"set cntrparam levels 22"])$ ![](https://box.kancloud.cn/2016-01-24_56a4233baf011.PNG) wxcontour_plot (x*sin(y)+y*sin(x), [x, -10, 10], [y, -10, 10], ?????????????? [legend,false], [grid, 100, 100], ?????????????? [gnuplot_preamble,"set pm3d; set cntrparam levels 30"])$ ![](https://box.kancloud.cn/2016-01-24_56a4233bc15a2.PNG)
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