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) { operand, ok := fields[name] if !ok { return fmt.Errorf("calc(%q): no field %q", args[0], name) } if text, never := neverNumeric(operand); never { return fmt.Errorf("calc(%q): operand %q is never a number: it renders %q", args[0], name, text) } } if divisor, zero := constantZeroDivisor(expr, fields); zero { return fmt.Errorf("calc(%q) divides by %s, which is always zero", args[0], divisor) } if len(args) == 2 { if dp, err := plainInt(args[1]); err != nil || dp < 0 || dp > maxDecimals { return fmt.Errorf("calc decimals %q must be a plain integer in 0..%d", args[1], maxDecimals) } } return nil } // constantZeroDivisor finds a division whose right side is a constant zero: number // literals and fixed operands folded, anything that varies left unknown. func constantZeroDivisor(n calcNode, fields map[string]node) (string, bool) { switch n := n.(type) { case calcNeg: return constantZeroDivisor(n.x, fields) case calcBin: if n.op == '/' { if v, known := constantValue(n.r, fields); known && v == 0 { return calcText(n.r), true } } if d, zero := constantZeroDivisor(n.l, fields); zero { return d, true } return constantZeroDivisor(n.r, fields) } return "", false } // constantValue evaluates an expression whose every operand is fixed. func constantValue(n calcNode, fields map[string]node) (float64, bool) { switch n := n.(type) { case calcNum: return float64(n), true case calcVar: t, ok := fields[string(n)].(*template) if !ok || !t.fixed || t.repeat > 1 { return 0, false } v, err := strconv.ParseFloat(strings.TrimSpace(t.lit), 64) return v, err == nil case calcNeg: v, ok := constantValue(n.x, fields) return -v, ok case calcBin: l, lok := constantValue(n.l, fields) r, rok := constantValue(n.r, fields) if !lok || !rok { return 0, false } return calcBin{n.op, calcNum(l), calcNum(r)}.eval(nil), true } return 0, false } // calcText spells an expression node the way an author would read it. func calcText(n calcNode) string { switch n := n.(type) { case calcNum: return strconv.FormatFloat(float64(n), 'f', -1, 64) case calcVar: return string(n) case calcNeg: return "-" + calcText(n.x) case calcBin: return "(" + calcText(n.l) + " " + string(n.op) + " " + calcText(n.r) + ")" } return "?" } // neverNumeric reports a node no render of which is a number: fixed text that does // not parse, or a choice of only such items. text is one such render. func neverNumeric(n node) (text string, never bool) { switch n := n.(type) { case *template: if !n.fixed || n.repeat > 1 { return "", false } if _, err := strconv.ParseFloat(strings.TrimSpace(n.lit), 64); err != nil { return n.lit, true } case *choice: for _, it := range n.items { t, itemNever := neverNumeric(it) if !itemNever { return "", false } text = t } return text, true } return "", false } // 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} } } // factor is a table-shaped scanner, one case per token kind, kept whole on purpose. 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 }