Files
fejkdata/calc.go
T

290 lines
7.8 KiB
Go

package fejkdata
import (
"fmt"
"math"
"strconv"
"strings"
"unicode"
)
// calcNode is a parsed expression node. It evaluates over the operand values expand
// read, so the evaluator touches neither the rng nor the node tree.
type calcNode interface {
eval(operands []string) float64
}
type calcNum float64 // a number literal
type calcVar string // a sibling-field name, before indexVars places it
type calcIdx int // an operand, by its position in the values expand read
type calcNeg struct{ x calcNode }
type calcBin struct { // a + - * / b
op byte
l, r calcNode
}
func (n calcNum) eval([]string) float64 { return float64(n) }
func (n calcIdx) eval(operands []string) float64 {
v, err := strconv.ParseFloat(strings.TrimSpace(operands[n]), 64)
if err != nil {
return math.NaN() // a non-numeric operand stays visible, never an error
}
return v
}
// eval on an unplaced name cannot happen: calcPrep runs indexVars over every
// expression it compiles, so only a calcIdx reaches a render. It panics rather
// than returning NaN, so a node kind indexVars forgets is a stack trace and not a
// silently wrong number.
func (n calcVar) eval([]string) float64 {
panic(fmt.Sprintf("fejkdata: calc operand %q was never placed", string(n)))
}
func (n calcNeg) eval(operands []string) float64 { return -n.x.eval(operands) }
func (n calcBin) eval(operands []string) float64 {
l, r := n.l.eval(operands), n.r.eval(operands)
switch n.op {
case '+':
return l + r
case '-':
return l - r
case '*':
return l * r
default: // '/'
return l / r
}
}
// checkCalc validates a calc token at compile time: a parseable expression whose
// operands all name existing fields, and an optional non-negative integer dp. It
// is a builtin check (fields first), so calc dispatches through the registry like
// every other {name(args)} function.
func checkCalc(fields map[string]node, args []string) error {
if len(args) < 1 || len(args) > 2 {
return fmt.Errorf("calc takes an expression and an optional decimals count, got %d args", len(args))
}
expr, err := parseCalc(args[0])
if err != nil {
return fmt.Errorf("calc(%q): %w", args[0], err)
}
for _, name := range calcVars(expr) {
if _, ok := fields[name]; !ok {
return fmt.Errorf("calc(%q): no field %q", args[0], name)
}
}
if len(args) == 2 {
if dp, err := strconv.Atoi(args[1]); err != nil || dp < 0 || dp > maxDecimals {
return fmt.Errorf("calc decimals %q must be an integer in 0..%d", args[1], maxDecimals)
}
}
return nil
}
// calcPrep parses the expression and decimals once, at compile time, and places each
// operand name at the position expand will read it into. checkCalc proved both args
// valid, so no step here can fail; dp -1 prints the minimal form.
func calcPrep(args []string) callFn {
expr, err := parseCalc(args[0])
if err != nil { // a nil AST would be a nil dereference per render, with no message
panic(fmt.Sprintf("fejkdata: calc(%q) reached prep unparsed: %v", args[0], err))
}
at := make(map[string]int)
for i, name := range calcVars(expr) {
at[name] = i
}
placed := indexVars(expr, at)
dp := -1
if len(args) == 2 {
dp = atoi(args[1])
}
return func(_ *session, _ string, operands []string) string {
return strconv.FormatFloat(placed.eval(operands), 'f', dp, 64)
}
}
// indexVars replaces each operand name with its position in the values expand reads.
// Both sides take that order from calcVars, so they cannot drift.
func indexVars(n calcNode, at map[string]int) calcNode {
switch n := n.(type) {
case calcVar:
i, placed := at[string(n)]
if !placed { // calcVars named every operand, so a miss means the two disagree
panic(fmt.Sprintf("fejkdata: calc operand %q is not among the names read for it", string(n)))
}
return calcIdx(i)
case calcNeg:
return calcNeg{indexVars(n.x, at)}
case calcBin:
return calcBin{n.op, indexVars(n.l, at), indexVars(n.r, at)}
}
return n
}
// calcOperands lists the sibling-field names a calc's args read. checkCalc reports
// an expression that does not parse, so one that does not simply names nothing.
func calcOperands(args []string) []string {
if len(args) == 0 {
return nil
}
expr, err := parseCalc(args[0])
if err != nil {
return nil
}
return calcVars(expr)
}
// calcVars lists the distinct field names an expression reads, in the order it first
// names each. That order is the contract between expand, which reads the operands
// into a slice, and indexVars, which places each name at its position in it.
func calcVars(n calcNode) []string {
var out []string
seen := map[string]bool{}
var walk func(calcNode)
walk = func(n calcNode) {
switch n := n.(type) {
case calcVar:
if name := string(n); !seen[name] {
seen[name] = true
out = append(out, name)
}
case calcNeg:
walk(n.x)
case calcBin:
walk(n.l)
walk(n.r)
}
}
walk(n)
return out
}
// calcParser is a recursive-descent parser over the expression runes, threading
// expr -> term -> factor for the standard * / before + - precedence.
type calcParser struct {
rs []rune
pos int
}
// parseCalc parses a whole expression, requiring it to consume all input.
func parseCalc(expr string) (calcNode, error) {
p := &calcParser{rs: []rune(expr)}
if p.space(); p.pos >= len(p.rs) {
return nil, fmt.Errorf("empty expression")
}
n, err := p.expr()
if err != nil {
return nil, err
}
if p.space(); p.pos != len(p.rs) {
return nil, fmt.Errorf("unexpected %q", string(p.rs[p.pos:]))
}
return n, nil
}
func (p *calcParser) space() {
for p.pos < len(p.rs) && unicode.IsSpace(p.rs[p.pos]) {
p.pos++
}
}
func (p *calcParser) expr() (calcNode, error) { return p.binary(p.term, '+', '-') }
func (p *calcParser) term() (calcNode, error) { return p.binary(p.factor, '*', '/') }
// binary parses a left-associative run of next() operands joined by the given
// operators, the one shape expr and term share.
func (p *calcParser) binary(next func() (calcNode, error), ops ...byte) (calcNode, error) {
n, err := next()
if err != nil {
return nil, err
}
for {
p.space()
if p.pos >= len(p.rs) || !contains(ops, byte(p.rs[p.pos])) {
return n, nil
}
op := byte(p.rs[p.pos])
p.pos++
r, err := next()
if err != nil {
return nil, err
}
n = calcBin{op, n, r}
}
}
func (p *calcParser) factor() (calcNode, error) {
p.space()
if p.pos >= len(p.rs) {
return nil, fmt.Errorf("unexpected end of expression")
}
switch c := p.rs[p.pos]; {
case c == '-':
p.pos++
x, err := p.factor()
if err != nil {
return nil, err
}
return calcNeg{x}, nil
case c == '(':
p.pos++
n, err := p.expr()
if err != nil {
return nil, err
}
if p.space(); p.pos >= len(p.rs) || p.rs[p.pos] != ')' {
return nil, fmt.Errorf("missing ')'")
}
p.pos++
return n, nil
case c == '.' || c >= '0' && c <= '9':
return p.number()
case c == '_' || unicode.IsLetter(c):
return p.ident()
default:
return nil, fmt.Errorf("unexpected %q", string(c))
}
}
func (p *calcParser) number() (calcNode, error) {
start, dot := p.pos, false
for p.pos < len(p.rs) {
if c := p.rs[p.pos]; c >= '0' && c <= '9' {
p.pos++
} else if c == '.' && !dot {
dot, p.pos = true, p.pos+1
} else {
break
}
}
v, err := strconv.ParseFloat(string(p.rs[start:p.pos]), 64)
if err != nil {
return nil, fmt.Errorf("bad number %q", string(p.rs[start:p.pos]))
}
return calcNum(v), nil
}
// ident reads a field name: a letter or '_', then letters, digits or '_'. A '-'
// is always the minus operator, so a hyphenated field name can't be an operand.
func (p *calcParser) ident() (calcNode, error) {
start := p.pos
for p.pos < len(p.rs) {
if c := p.rs[p.pos]; c == '_' || unicode.IsLetter(c) || unicode.IsDigit(c) {
p.pos++
} else {
break
}
}
return calcVar(string(p.rs[start:p.pos])), nil
}
func contains(bs []byte, b byte) bool {
for _, x := range bs {
if x == b {
return true
}
}
return false
}