《The Go Programming Language》3.3节 习题

```//gopl.io/ch3/surface // Surface computes an SVG rendering of a 3-D surface function. package main import ( "fmt" "math" ) const ( width, height = 600, 320 // canvas size in pixels cells = 100 // number of grid cells xyrange = 30.0 // axis ranges (-xyrange..+xyrange) xyscale = width / 2 / xyrange // pixels per x or y unit zscale = height * 0.4 // pixels per z unit angle = math.Pi / 6 // angle of x, y axes (=30°) ) var sin30, cos30 = math.Sin(angle), math.Cos(angle) // sin(30°), cos(30°) func main() { fmt.Printf("<svg xmlns='http://www.w3.org/2000/svg' "+ "style='stroke: grey; fill: white; stroke-width: 0.7' "+ "width='%d' height='%d'>", width, height) for i := 0; i < cells; i++ { for j := 0; j < cells; j++ { ax, ay := corner(i+1, j) bx, by := corner(i, j) cx, cy := corner(i, j+1) dx, dy := corner(i+1, j+1) fmt.Printf("<polygon points='%g,%g %g,%g %g,%g %g,%g'/>\n", ax, ay, bx, by, cx, cy, dx, dy) } } fmt.Println("</svg>") } func corner(i, j int) (float64, float64) { // Find point (x,y) at corner of cell (i,j). x := xyrange * (float64(i)/cells - 0.5) y := xyrange * (float64(j)/cells - 0.5) // Compute surface height z. z := f(x, y) // Project (x,y,z) isometrically onto 2-D SVG canvas (sx,sy). sx := width/2 + (x-y)*cos30*xyscale sy := height/2 + (x+y)*sin30*xyscale - z*zscale return sx, sy } func f(x, y float64) float64 { r := math.Hypot(x, y) // distance from (0,0) return math.Sin(r) / r } ``` 练习 3.1： 如果f函数返回的是无限制的float64值，那么SVG文件可能输出无效的多边形元素（虽然许多SVG渲染器会妥善处理这类问题）。修改程序跳过无效的多边形。