The ask is, base on the following program https://github.com/adonovan/gopl.io/blob/master/ch3/surface/main.go
I've got the 1st part right for sure, and I think I got the 2nd part right but apparently not, yet I have no idea where I'm wrong. Please help.
package main
import (
"fmt"
"math"
"net/http"
"strconv"
)
const (
cells = 100 // number of grid cells
xyrange = 30.0 // axis ranges (-xyrange..+xyrange)
angle = math.Pi / 6 // angle of x, y axes (=30°)
)
var height, width = 300, 600 // canvas size in pixels
var xyscale = width / 2 / xyrange // pixels per x or y unit
var zscale = float64(height) * 0.4 // pixels per z unit
var sin30, cos30 = math.Sin(angle), math.Cos(angle) // sin(30°), cos(30°)
func main() {
addr := ":8000"
fmt.Printf("Visit\n http://localhost%s/\n http://localhost%[1]s/?height=600&width=1200\n", addr)
//http server
http.HandleFunc("/", handle)
http.ListenAndServe(addr, nil)
}
func handle(w http.ResponseWriter, r *http.Request) {
w.Header().Set("Content-Type", "image/svg+xml")
if err := r.ParseForm(); err != nil {
return
}
for k, v := range r.Form {
if k == "height" {
h, _ := strconv.Atoi(v[0])
if h > 0 {
height = h
}
}
if k == "width" {
w, _ := strconv.Atoi(v[0])
if w > 0 {
width = w
}
}
}
xyscale = width / 2 / xyrange
zscale = float64(height) * 0.4
fmt.Fprintf(w, "<svg xmlns='http://www.w3.org/2000/svg' "+
"style='stroke: grey; 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)
r, g, b := getColor(i, j)
fmt.Fprintf(w, "<polygon points='%g,%g %g,%g %g,%g %g,%g' fill='#%x%x%x'/>\n",
ax, ay, bx, by, cx, cy, dx, dy, r, g, b)
}
}
fmt.Fprintf(w, "</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 := float64(width/2) + (x-y)*cos30*float64(xyscale)
sy := float64(height/2) + (x+y)*sin30*float64(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
}
func getColor(i, j int) (int, int, int) {
// Find point (x,y) at middle of corner of cell (i,j) to cell (i+1,j+1).
x := xyrange * (float64(i)/cells + 0.5/cells - 0.5)
y := xyrange * (float64(j)/cells + 0.5/cells - 0.5)
// Compute surface height z.
z := math.Hypot(x, y) // distance from (0,0)
v := int(math.Sin(z)*127) + 128
r := v
g := 0
b := 255 - v
return r, g, b
}
Here is the result that I got:
NB, although the question seems to be for Go, but it is actually the
getColor()
algorithm that I'm asking about. You can understand/answer even if you don't write in Go.
Your code uses the format verb %x
to print the hex values to the SVG's fill
attribute:
fmt.Fprintf(w, "<polygon points='%g,%g %g,%g %g,%g %g,%g' fill='#%x%x%x'/>\n",
ax, ay, bx, by, cx, cy, dx, dy, r, g, b)
This causes some numbers like 0 and 1 to be formatted with one hex digit. For example RGB (254, 0, 1) would be formatted as fe01
. The browser then render colors incorrectly.
Change the format verbs to %02x
to ensure the RGB is always printed with two hex digits.
Now RGB (254, 0, 1) is printed as fe0001
, which is the correct hex color.
Output: