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assign.go
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// Package decksh is a little language that generates deck markup
// assignments
package decksh
import (
"fmt"
"math"
"math/rand"
"strconv"
)
// ftoa returns the string value of a floating point value
func ftoa(v float64) string {
return strconv.FormatFloat(v, 'g', -1, 64)
}
// comma formats a floating point value with commas.
// Limitations: up to 15 digits, no decimals
func comma(f float64) string {
s := strconv.FormatFloat(f, 'f', 0, 64)
ls := len(s)
p0 := ls - 3
p1 := ls - 6
p2 := ls - 9
p3 := ls - 12
if ls >= 4 && ls <= 6 {
return s[0:p0] + "," + s[p0:]
}
if ls >= 7 && ls <= 9 {
return s[0:p1] + "," + s[p1:p0] + "," + s[p0:]
}
if ls >= 10 && ls <= 12 {
return s[0:p2] + "," + s[p2:p1] + "," + s[p1:p0] + "," + s[p0:]
}
if ls >= 13 && ls <= 15 {
return s[0:p3] + "," + s[p3:p2] + "," + s[p2:p1] + "," + s[p1:p0] + "," + s[p0:]
}
return s
}
// assign creates an assignment by filling in the global id map
// assignments are either
// simple (x=10),
// binary op (x=a+b),
// coordinate (p=(100,50))
// or built-ins (random, polar, polarx, polary, vmap, sprint, substr, format, sqrt)
func assign(s []string, linenumber int) error {
ls := len(s)
if ls < 3 {
return fmt.Errorf("line %d: %v is an incorrect assignment", linenumber, s)
}
if ls == 3 {
return simpleassign(s, linenumber) // v=10
}
switch s[2] {
case "area":
return areafunc(s, linenumber) // v=area x, v=area a+b
case "sqrt", "sine", "cosine", "tangent":
return mathfunc(s, linenumber)
case "random":
return random(s, linenumber) // x=random min max
case "sprint", "format":
return sprint(s, linenumber) // v=format fmt x, v=format fmt a+b
case "substr", "slice":
return substr(s, linenumber) // x=substr s begin end
case "polar", "polarx", "polary":
return polarfunc(s, linenumber) // x=polar[x|y] cx cy r theta
case "vmap":
return vmapfunc(s, linenumber) // x=vmap d min1 max1 min2 max2
case "(":
return coordfunc(s, linenumber) // p=(100,100), p=(a,a+b), p=(a+b,b), p=(a+b,a+c)
default:
return binop(s, linenumber) // v=a+b
}
}
// simpleassign creates an simple assignment id=number
func simpleassign(s []string, linenumber int) error {
if len(s) != 3 {
return fmt.Errorf("line %d: use: id=number or other id", linenumber)
}
emap[s[0]] = s[2]
return nil
}
// opval returns the value of a binary operation
func opval(s []string, linenumber int) (float64, error) {
es := fmt.Errorf("line %d: %v is not a valid operation", linenumber, s)
if len(s) != 3 {
return 0, es
}
ls := s[0]
op := s[1]
rs := s[2]
lv, err := strconv.ParseFloat(eval(ls), 64)
if err != nil {
return 0, fmt.Errorf("line %d: %v is not a number", linenumber, ls)
}
rv, err := strconv.ParseFloat(eval(rs), 64)
if err != nil {
return 0, fmt.Errorf("line %d: %v is not a number", linenumber, rs)
}
var v float64
switch op {
case "+":
v = lv + rv
case "-":
v = lv - rv
case "*":
v = lv * rv
case "%":
if rv == 0 {
return 0, fmt.Errorf("line %d: you cannot modulo zero (%v modulo %v)", linenumber, lv, rv)
}
v = math.Mod(lv, rv)
case "/":
if rv == 0 {
return 0, fmt.Errorf("line %d: you cannot divide by zero (%v / %v)", linenumber, lv, rv)
}
v = lv / rv
default:
return 0, fmt.Errorf("line %d: %s is not a valid operation", linenumber, op)
}
return v, nil
}
// binop processes a binary expression: id=id op number
func binop(s []string, linenumber int) error {
es := fmt.Errorf("line %d: %v is not a valid operation", linenumber, s)
if len(s) < 5 {
return es
}
if s[1] != "=" {
return es
}
v, err := opval(s[2:5], linenumber)
if err != nil {
return err
}
emap[s[0]] = ftoa(v)
return nil
}
// assignop creates an assignment by computing an addition or substraction on an identifier
func assignop(s []string, linenumber int) error {
operr := fmt.Errorf("line %d: %s is not a valid operation", linenumber, s)
if len(s) < 4 {
return operr
}
e, err := strconv.ParseFloat(eval(s[0]), 64)
if err != nil {
return fmt.Errorf("line %d: %v is not a number", linenumber, s[0])
}
v, err := strconv.ParseFloat(s[3], 64)
if err != nil {
return fmt.Errorf("line %d: %v is not a number", linenumber, s[3])
}
switch s[1] {
case "+":
emap[s[0]] = ftoa(e + v)
case "-":
emap[s[0]] = ftoa(e - v)
case "*":
emap[s[0]] = ftoa(e * v)
case "/":
if v == 0 {
return fmt.Errorf("line %d: you cannot divide by zero (%v / %v)", linenumber, e, v)
}
emap[s[0]] = ftoa(e / v)
default:
return operr
}
return nil
}
// area computes the diameter from a given area
// Area = Pi * (r*r), so given an area the diameter = sqrt ( area / pi) * 2
// usecase:
// x=somevalue
// d=area x
// circle x y d
func area(v float64) float64 {
return math.Sqrt((v / math.Pi)) * 2
}
// polarfunc assigns polar coordinates
func polarfunc(s []string, linenumber int) error {
e := fmt.Errorf("line %d use: v = [polar|polarx|polary] cx cy r theta", linenumber)
if len(s) != 7 {
return e
}
goodkey := s[2] == "polarx" || s[2] == "polary" || s[2] == "polar"
if !goodkey {
return e
}
var cx, cy, r, theta float64
var err error
cx, err = strconv.ParseFloat(eval(s[3]), 64)
if err != nil {
return err
}
cy, err = strconv.ParseFloat(eval(s[4]), 64)
if err != nil {
return err
}
r, err = strconv.ParseFloat(eval(s[5]), 64)
if err != nil {
return err
}
theta, err = strconv.ParseFloat(eval(s[6]), 64)
if err != nil {
return err
}
x, y := polar(cx, cy, r, theta*(math.Pi/180))
switch s[2] {
case "polarx":
emap[s[0]] = ftoa(x)
case "polary":
emap[s[0]] = ftoa(y)
case "polar":
emap[s[0]+"_x"] = ftoa(x)
emap[s[0]+"_y"] = ftoa(y)
default:
return e
}
return nil
}
// delim returns the index of sep in slice s.
// if not found return -1
func delim(s []string, sep string) int {
for i, t := range s {
if t == sep {
return i
}
}
return -1
}
// coordfunc assigns a coordinate pair
func coordfunc(s []string, linenumber int) error {
e := fmt.Errorf("line %d use: p=(xexpr, yexpr)", linenumber)
ls := len(s)
goodarg := ls == 7 || ls == 9 || ls == 11
if !goodarg {
return e
}
xcoord := s[0] + "_x"
ycoord := s[0] + "_y"
end := ls - 1
ci := delim(s, ",")
if s[end] == ")" && ci != -1 && end > ci {
left := s[3:ci]
right := s[ci+1 : end]
ll := len(left)
lr := len(right)
switch {
case ll == 1 && lr == 1: // p=(a,b)
emap[xcoord] = left[0]
emap[ycoord] = right[0]
return nil
case ll == 1 && lr == 3: // p=(a,a+b)
v, err := opval(right, linenumber)
if err != nil {
return err
}
emap[xcoord] = left[0]
emap[ycoord] = ftoa(v)
return nil
case ll == 3 && lr == 1: // p=(a+b,b)
v, err := opval(left, linenumber)
if err != nil {
return err
}
emap[xcoord] = ftoa(v)
emap[ycoord] = right[0]
return nil
case ll == 3 && lr == 3: // p=(a+b,b+c)
vl, lerr := opval(left, linenumber)
if lerr != nil {
return lerr
}
vr, rerr := opval(right, linenumber)
if rerr != nil {
return rerr
}
emap[xcoord] = ftoa(vl)
emap[ycoord] = ftoa(vr)
return nil
default:
return e
}
}
return e
}
// vmap maps one interval to another
func vmap(value float64, low1 float64, high1 float64, low2 float64, high2 float64) float64 {
return low2 + (high2-low2)*(value-low1)/(high1-low1)
}
// sprint makes a string assignment using formatted text
func sprint(s []string, linenumber int) error {
var err error
switch len(s) {
case 5: // x=sprint fmt a
var v1 float64
v1, err = strconv.ParseFloat(eval(s[4]), 64) // make evaluated number (string) to number
if err != nil {
return err
}
if s[3] == `"%,"` { // special case: single number formatted with commas.
emap[s[0]] = `"` + comma(v1) + `"`
} else {
emap[s[0]] = fmt.Sprintf(s[3], v1)
}
return nil
case 6: // x=sprint fmt a b
var v1, v2 float64
v1, err = strconv.ParseFloat(eval(s[4]), 64)
if err != nil {
return err
}
v2, err = strconv.ParseFloat(eval(s[5]), 64)
if err != nil {
return err
}
emap[s[0]] = fmt.Sprintf(s[3], v1, v2)
return nil
case 7: // x=sprint fmt a op b, or x=sprint fmt a b c
var v1, v2, v3 float64
op := s[5]
if op == "+" || op == "-" || op == "*" || op == "/" || op == "%" {
var v1 float64
v1, err = opval(s[4:7], linenumber) // note that opval does eval
if err != nil {
return err
}
emap[s[0]] = fmt.Sprintf(s[3], v1)
return nil
}
v1, err = strconv.ParseFloat(eval(s[4]), 64)
if err != nil {
return err
}
v2, err = strconv.ParseFloat(eval(s[5]), 64)
if err != nil {
return err
}
v3, err = strconv.ParseFloat(eval(s[6]), 64)
if err != nil {
return err
}
emap[s[0]] = fmt.Sprintf(s[3], v1, v2, v3)
return nil
case 8: // x=sprint fmt a b c d
var v1, v2, v3, v4 float64
v1, err = strconv.ParseFloat(eval(s[4]), 64)
if err != nil {
return err
}
v2, err = strconv.ParseFloat(eval(s[5]), 64)
if err != nil {
return err
}
v3, err = strconv.ParseFloat(eval(s[6]), 64)
if err != nil {
return err
}
v4, err = strconv.ParseFloat(eval(s[7]), 64)
if err != nil {
return err
}
emap[s[0]] = fmt.Sprintf(s[3], v1, v2, v3, v4)
return nil
case 9: // x=sprint fmt a b c d e
var v1, v2, v3, v4, v5 float64
v1, err = strconv.ParseFloat(eval(s[4]), 64)
if err != nil {
return err
}
v2, err = strconv.ParseFloat(eval(s[5]), 64)
if err != nil {
return err
}
v3, err = strconv.ParseFloat(eval(s[6]), 64)
if err != nil {
return err
}
v4, err = strconv.ParseFloat(eval(s[7]), 64)
if err != nil {
return err
}
v5, err = strconv.ParseFloat(eval(s[8]), 64)
if err != nil {
return err
}
emap[s[0]] = fmt.Sprintf(s[3], v1, v2, v3, v4, v5)
return nil
default:
return fmt.Errorf("line %d: 1-5 arguments or one expression: %v %s", linenumber, s[3], s[4:])
}
}
// substr makes a substring assignment
func substr(s []string, linenumber int) error {
if len(s) != 6 {
return fmt.Errorf("line %d: x=substr s begin end", linenumber)
}
src := unquote(eval(s[3]))
bs := eval(s[4])
es := eval(s[5])
var b, e int
var err error
// beginning
if bs == "beg" || bs == "-" {
b = 0
} else {
b, err = strconv.Atoi(bs)
if err != nil {
return fmt.Errorf("line %d: %v", linenumber, err)
}
if b < 0 {
b = 0
}
}
// end
if es == "end" || es == "-" {
e = len(src)
} else {
e, err = strconv.Atoi(es)
e++
if err != nil {
return fmt.Errorf("line %d: %v", linenumber, err)
}
if e > len(src) {
e = len(src)
}
}
if b > e {
return fmt.Errorf("line %d: s[%d:%d] is out of range", linenumber, b, e)
}
emap[s[0]] = `"` + src[b:e] + `"`
return nil
}
// areafunc returns the diameter, given the area measure
func areafunc(s []string, linenumber int) error {
var v float64
var err error
switch len(s) {
case 4: // v = area x
v, err = strconv.ParseFloat(eval(s[3]), 64)
if err != nil {
return err
}
case 6: // v = area a op b
v, err = opval(s[3:6], linenumber)
if err != nil {
return err
}
default:
return fmt.Errorf("line %d use: v = area x or v = area expression", linenumber)
}
emap[s[0]] = ftoa(area(v))
return nil
}
// mathfunc returns the {sine|cosine|tangent|sqrt} of a number or binary operation
func mathfunc(s []string, linenumber int) error {
var v float64
var err error
funcname := s[2]
switch len(s) {
case 4: // y = sqrt x
v, err = strconv.ParseFloat(eval(s[3]), 64)
if err != nil {
return err
}
case 6: // y = sqrt a op b
v, err = opval(s[3:6], linenumber)
if err != nil {
return err
}
default:
return fmt.Errorf("line %d use: v = %s x or v = %s expression", linenumber, funcname, funcname)
}
var result float64
switch funcname {
case "sine":
result = math.Sin(v)
case "cosine":
result = math.Cos(v)
case "tangent":
result = math.Tan(v)
case "sqrt":
if v < 0 {
return fmt.Errorf("line %d: cannot take the square root of %g", linenumber, v)
}
result = math.Sqrt(v)
}
emap[s[0]] = ftoa(result)
return nil
}
// random returns a bounded random number
func random(s []string, linenumber int) error {
if len(s) != 5 {
return fmt.Errorf("line %d use: v = random min max", linenumber)
}
var min, max float64
var err error
min, err = strconv.ParseFloat(eval(s[3]), 64)
if err != nil {
return err
}
max, err = strconv.ParseFloat(eval(s[4]), 64)
if err != nil {
return err
}
emap[s[0]] = ftoa(vmap(rand.Float64(), 0, 1, min, max))
return nil
}
// vmapfunc translates a value given two ranges
func vmapfunc(s []string, linenumber int) error {
n := len(s)
if n < 8 {
return fmt.Errorf("line %d: use: v = vmap data min1 max1 min2 max2", linenumber)
}
var data, min1, max1, min2, max2 float64
var err error
data, err = strconv.ParseFloat(eval(s[3]), 64)
if err != nil {
return err
}
min1, err = strconv.ParseFloat(eval(s[4]), 64)
if err != nil {
return err
}
max1, err = strconv.ParseFloat(eval(s[5]), 64)
if err != nil {
return err
}
min2, err = strconv.ParseFloat(eval(s[6]), 64)
if err != nil {
return err
}
max2, err = strconv.ParseFloat(eval(s[7]), 64)
if err != nil {
return err
}
emap[s[0]] = ftoa(vmap(data, min1, max1, min2, max2))
return nil
}