gopl.io/ch7/surface/surface.go

113 lines
2.7 KiB
Go

// Copyright © 2016 Alan A. A. Donovan & Brian W. Kernighan.
// License: https://creativecommons.org/licenses/by-nc-sa/4.0/
// See page 203.
// The surface program plots the 3-D surface of a user-provided function.
package main
import (
"fmt"
"io"
"log"
"math"
"net/http"
)
//!+parseAndCheck
import "gopl.io/ch7/eval"
//!-parseAndCheck
// -- copied from gopl.io/ch3/surface --
const (
width, height = 600, 320 // canvas size in pixels
cells = 100 // number of grid cells
xyrange = 30.0 // x, y axis range (-xyrange..+xyrange)
xyscale = width / 2 / xyrange // pixels per x or y unit
zscale = height * 0.4 // pixels per z unit
)
var sin30, cos30 = 0.5, math.Sqrt(3.0 / 4.0) // sin(30°), cos(30°)
func corner(f func(x, y float64) float64, 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)
z := f(x, y) // compute surface height z
// 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 surface(w io.Writer, f func(x, y float64) float64) {
fmt.Fprintf(w, "<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(f, i+1, j)
bx, by := corner(f, i, j)
cx, cy := corner(f, i, j+1)
dx, dy := corner(f, i+1, j+1)
fmt.Fprintf(w, "<polygon points='%g,%g %g,%g %g,%g %g,%g'/>\n",
ax, ay, bx, by, cx, cy, dx, dy)
}
}
fmt.Fprintln(w, "</svg>")
}
// -- main code for gopl.io/ch7/surface --
//!+parseAndCheck
func parseAndCheck(s string) (eval.Expr, error) {
if s == "" {
return nil, fmt.Errorf("empty expression")
}
expr, err := eval.Parse(s)
if err != nil {
return nil, err
}
vars := make(map[eval.Var]bool)
if err := expr.Check(vars); err != nil {
return nil, err
}
for v := range vars {
if v != "x" && v != "y" && v != "r" {
return nil, fmt.Errorf("undefined variable: %s", v)
}
}
return expr, nil
}
//!-parseAndCheck
//!+plot
func plot(w http.ResponseWriter, r *http.Request) {
r.ParseForm()
expr, err := parseAndCheck(r.Form.Get("expr"))
if err != nil {
http.Error(w, "bad expr: "+err.Error(), http.StatusBadRequest)
return
}
w.Header().Set("Content-Type", "image/svg+xml")
surface(w, func(x, y float64) float64 {
r := math.Hypot(x, y) // distance from (0,0)
return expr.Eval(eval.Env{"x": x, "y": y, "r": r})
})
}
//!-plot
//!+main
func main() {
http.HandleFunc("/plot", plot)
log.Fatal(http.ListenAndServe("localhost:8000", nil))
}
//!-main