455 lines
12 KiB
Go
455 lines
12 KiB
Go
package main
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import (
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"bufio"
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"errors"
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"fmt"
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"git.nunosempere.com/NunoSempere/fermi/sample"
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"math"
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"os"
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"sort"
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"strconv"
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"strings"
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)
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/* Types and interfaces */
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type Stack struct {
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old_dist Dist
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vars map[string]Dist
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}
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type Dist interface {
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Samples() []float64
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}
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type Scalar float64
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type Lognormal struct {
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low float64
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high float64
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}
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type Beta struct {
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a float64
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b float64
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}
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type FilledSamples struct {
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xs []float64
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}
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/* Constants */
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const GENERAL_ERR_MSG = " Operation | Variable assignment | Special\n" +
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" Operation: operator operand\n" +
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" operator: (empty) | * | / | + | -\n" +
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" operand: scalar | lognormal | beta | variable\n" +
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" lognormal: low high\n" +
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" beta: beta alpha beta\n" +
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" Variable assignment: =: variable_name\n" +
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" Clear stack: . | c | clear\n" +
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" Variable assignment and clear stack: =. variable_name\n" +
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" Other special operations: help | debug | exit\n" +
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" Examples: \n" +
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" + 2\n" +
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" / 2.5\n" +
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" * 1 10 (interpreted as lognormal)\n" +
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" + 1 10\n" +
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" * beta 1 10\n" +
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" 1 10 (multiplication taken as default operation)\n" +
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" =: x\n" +
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" .\n" +
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" 1 100\n" +
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" + x\n" +
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" exit\n"
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const NORMAL90CONFIDENCE = 1.6448536269514727
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const INIT_DIST Scalar = Scalar(1)
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const N_SAMPLES = 100_000
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/* Dist interface functions */
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// https://go.dev/tour/methods/9
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func (p Scalar) Samples() []float64 {
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xs := make([]float64, N_SAMPLES)
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for i := 0; i < N_SAMPLES; i++ {
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xs[i] = float64(p)
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}
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return xs
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}
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func (ln Lognormal) Samples() []float64 {
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sampler := func(r sample.Src) float64 { return sample.Sample_to(ln.low, ln.high, r) }
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// return sample.Sample_parallel(sampler, N_SAMPLES)
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// Can't do parallel because then I'd have to await throughout the code
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return sample.Sample_serially(sampler, N_SAMPLES)
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}
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func (beta Beta) Samples() []float64 {
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sampler := func(r sample.Src) float64 { return sample.Sample_beta(beta.a, beta.b, r) }
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// return sample.Sample_parallel(sampler, N_SAMPLES)
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return sample.Sample_serially(sampler, N_SAMPLES)
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}
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func (fs FilledSamples) Samples() []float64 {
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return fs.xs
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}
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// Parse line into Distribution
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func parseLineErr(err_msg string) (string, Dist, error) {
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fmt.Println(GENERAL_ERR_MSG)
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fmt.Println(err_msg)
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var errorDist Dist
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return "", errorDist, errors.New(err_msg)
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}
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func parseLineIntoOpAndDist(line string, vars map[string]Dist) (string, Dist, error) {
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words := strings.Split(strings.TrimSpace(line), " ")
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op := ""
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var dist Dist
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switch words[0] {
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case "*", "/", "+", "-":
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op = words[0]
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words = words[1:]
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default:
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op = "*" // later, change the below to
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}
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switch len(words) {
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case 0:
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return parseLineErr("Operator must have operand; can't operate on nothing")
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case 1:
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var_word, var_word_exists := vars[words[0]]
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single_float, err1 := strconv.ParseFloat(words[0], 64) // abstract this away to search for K/M/B/T/etc.
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switch {
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case var_word_exists:
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dist = var_word
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case err1 == nil:
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dist = Scalar(single_float)
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case err1 != nil && !var_word_exists:
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return parseLineErr("Trying to operate on a scalar, but scalar is neither a float nor an assigned variable")
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}
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case 2:
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new_low, err1 := strconv.ParseFloat(words[0], 64)
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new_high, err2 := strconv.ParseFloat(words[1], 64)
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if err1 != nil || err2 != nil {
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return parseLineErr("Trying to operate by a distribution, but distribution is not specified as two floats")
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}
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dist = Lognormal{low: new_low, high: new_high}
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case 3:
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if words[0] == "beta" || words[0] == "b" {
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a, err1 := strconv.ParseFloat(words[1], 64)
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b, err2 := strconv.ParseFloat(words[2], 64)
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if err1 != nil || err2 != nil {
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return parseLineErr("Trying to specify a beta distribution? Try beta 1 2")
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}
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dist = Beta{a: a, b: b}
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} else {
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return parseLineErr("Input not understood or not implemented yet")
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}
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default:
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return parseLineErr("Input not understood or not implemented yet")
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}
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return op, dist, nil
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}
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func multiplyLogDists(l1 Lognormal, l2 Lognormal) Lognormal {
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logmean1 := (math.Log(l1.high) + math.Log(l1.low)) / 2.0
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logstd1 := (math.Log(l1.high) - math.Log(l1.low)) / (2.0 * NORMAL90CONFIDENCE)
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logmean2 := (math.Log(l2.high) + math.Log(l2.low)) / 2.0
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logstd2 := (math.Log(l2.high) - math.Log(l2.low)) / (2.0 * NORMAL90CONFIDENCE)
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logmean_product := logmean1 + logmean2
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logstd_product := math.Sqrt(logstd1*logstd1 + logstd2*logstd2)
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h := logstd_product * NORMAL90CONFIDENCE
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loglow := logmean_product - h
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loghigh := logmean_product + h
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return Lognormal{low: math.Exp(loglow), high: math.Exp(loghigh)}
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}
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func multiplyBetaDists(beta1 Beta, beta2 Beta) Beta {
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return Beta{a: beta1.a + beta2.a, b: beta1.b + beta2.b}
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}
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func operateDistsAsSamples(dist1 Dist, dist2 Dist, op string) (Dist, error) {
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xs := dist1.Samples()
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ys := dist2.Samples()
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// fmt.Printf("xs: %v\n", xs)
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// fmt.Printf("ys: %v\n", ys)
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zs := make([]float64, N_SAMPLES)
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for i := 0; i < N_SAMPLES; i++ {
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switch op {
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case "*":
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zs[i] = xs[i] * ys[i]
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case "/":
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if ys[0] != 0 {
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zs[i] = xs[i] / ys[i]
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} else {
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fmt.Println("Error: When dividing as samples, division by zero")
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return nil, errors.New("Division by zero")
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}
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case "+":
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zs[i] = xs[i] + ys[i]
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case "-":
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zs[i] = xs[i] - ys[i]
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}
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}
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// fmt.Printf("%v\n", zs)
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return FilledSamples{xs: zs}, nil
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}
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func multiplyDists(old_dist Dist, new_dist Dist) (Dist, error) {
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switch o := old_dist.(type) {
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case Lognormal:
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{
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switch n := new_dist.(type) {
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case Lognormal:
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return multiplyLogDists(o, n), nil
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case Scalar:
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return multiplyLogDists(o, Lognormal{low: float64(n), high: float64(n)}), nil
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default:
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return operateDistsAsSamples(old_dist, new_dist, "*")
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}
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}
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case Scalar:
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{
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if o == 1 {
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return new_dist, nil
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}
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switch n := new_dist.(type) {
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case Lognormal:
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return multiplyLogDists(Lognormal{low: float64(o), high: float64(o)}, n), nil
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case Scalar:
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return Scalar(float64(o) * float64(n)), nil
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default:
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return operateDistsAsSamples(old_dist, new_dist, "*")
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}
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}
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case Beta:
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switch n := new_dist.(type) {
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case Beta:
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return multiplyBetaDists(o, n), nil
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default:
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return operateDistsAsSamples(old_dist, new_dist, "*")
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}
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default:
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return operateDistsAsSamples(old_dist, new_dist, "*")
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}
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}
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func divideDists(old_dist Dist, new_dist Dist) (Dist, error) {
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switch o := old_dist.(type) {
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case Lognormal:
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{
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switch n := new_dist.(type) {
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case Lognormal:
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return multiplyLogDists(o, Lognormal{low: 1.0 / n.high, high: 1.0 / n.low}), nil
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case Scalar:
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return multiplyLogDists(o, Lognormal{low: 1.0 / float64(n), high: 1.0 / float64(n)}), nil
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default:
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return operateDistsAsSamples(old_dist, new_dist, "/")
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}
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}
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case Scalar:
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{
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switch n := new_dist.(type) {
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case Lognormal:
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return multiplyLogDists(Lognormal{low: float64(o), high: float64(o)}, Lognormal{low: 1.0 / n.high, high: 1.0 / n.low}), nil
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case Scalar:
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return Scalar(float64(o) / float64(n)), nil
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default:
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return operateDistsAsSamples(old_dist, new_dist, "/")
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}
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}
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default:
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return operateDistsAsSamples(old_dist, new_dist, "/")
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}
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}
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/* Pretty print distributions
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*/
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func prettyPrintInt(n int) {
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switch {
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case math.Abs(float64(n)) >= 1_000_000_000_000:
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fmt.Printf("%dT", n/1_000_000_000_000)
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case math.Abs(float64(n)) >= 1_000_000_000:
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fmt.Printf("%dB", n/1_000_000_000)
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case math.Abs(float64(n)) >= 1_000_000:
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fmt.Printf("%dM", n/1_000_000)
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case math.Abs(float64(n)) >= 1_000:
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fmt.Printf("%dK", n/1_000)
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default:
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fmt.Printf("%df", n)
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}
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}
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func prettyPrintFloat(f float64) {
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switch {
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case math.Abs(f) >= 1_000_000_000_000:
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fmt.Printf("%.1fT", f/1_000_000_000_000)
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case math.Abs(f) >= 1_000_000_000:
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fmt.Printf("%.1fB", f/1_000_000_000)
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case math.Abs(f) >= 1_000_000:
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fmt.Printf("%.1fM", f/1_000_000)
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case math.Abs(f) >= 1_000:
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fmt.Printf("%.1fK", f/1_000)
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case math.Abs(f) <= 0.0001:
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fmt.Printf("%.5f", f)
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case math.Abs(f) <= 0.001:
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fmt.Printf("%.4f", f)
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case math.Abs(f) <= 0.01:
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fmt.Printf("%.3f", f)
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case math.Abs(f) <= 0.1:
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fmt.Printf("%.2f", f)
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default:
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fmt.Printf("%.1f", f)
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}
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}
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func prettyPrint2Floats(low float64, high float64) {
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prettyPrintFloat(low)
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fmt.Printf(" ")
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prettyPrintFloat(high)
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fmt.Printf("\n")
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}
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func prettyPrintDist(dist Dist) {
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switch v := dist.(type) {
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case Lognormal:
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fmt.Printf("=> ")
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prettyPrint2Floats(v.low, v.high)
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case FilledSamples:
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tmp_xs := make([]float64, N_SAMPLES)
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copy(tmp_xs, v.xs)
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sort.Slice(tmp_xs, func(i, j int) bool {
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return tmp_xs[i] < tmp_xs[j]
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})
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low_int := N_SAMPLES / 20
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low := tmp_xs[low_int]
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high_int := N_SAMPLES * 19 / 20
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high := tmp_xs[high_int]
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fmt.Printf("=> ")
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prettyPrintFloat(low)
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fmt.Printf(" ")
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prettyPrintFloat(high)
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fmt.Printf(" (")
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prettyPrintInt(N_SAMPLES)
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fmt.Printf(" samples)\n")
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case Beta:
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fmt.Printf("=> beta ")
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prettyPrint2Floats(v.a, v.b)
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case Scalar:
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fmt.Printf("=> scalar ")
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w := float64(v)
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prettyPrintFloat(w)
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fmt.Println()
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default:
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fmt.Printf("%v", v)
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}
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}
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/* Combine old dist and new line */
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// We want this as a function to be able to have parenthesis/recusion, possibly functions
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func combineStackAndDist(stack Stack, new_dist Dist, op string) Stack {
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var combined_dist Dist
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var err error
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switch op {
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case "*":
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if combined_dist, err = multiplyDists(stack.old_dist, new_dist); err == nil {
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stack.old_dist = combined_dist
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}
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case "/":
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if combined_dist, err = divideDists(stack.old_dist, new_dist); err == nil {
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stack.old_dist = combined_dist
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}
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case "+":
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if combined_dist, err = operateDistsAsSamples(stack.old_dist, new_dist, "+"); err == nil {
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stack.old_dist = combined_dist
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}
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case "-":
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if combined_dist, err = operateDistsAsSamples(stack.old_dist, new_dist, "-"); err == nil {
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stack.old_dist = combined_dist
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}
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default:
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fmt.Println("Can't combine distributions in this way")
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}
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return stack
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}
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func runRepl(stack Stack, reader *bufio.Reader) Stack {
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replForLoop:
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for {
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new_line, _ := reader.ReadString('\n')
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words := strings.Split(strings.TrimSpace(new_line), " ")
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switch {
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/* Empty line case */
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case strings.TrimSpace(new_line) == "":
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continue replForLoop
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/* Parenthesis */
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case len(words) == 2 && (words[0] == "*" || words[0] == "+" || words[0] == "-" || words[0] == "/") && words[1] == "(":
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new_stack := runRepl(Stack{old_dist: INIT_DIST, vars: stack.vars}, reader)
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stack = combineStackAndDist(stack, new_stack.old_dist, words[0])
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prettyPrintDist(stack.old_dist)
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case len(words) == 1 && words[0] == ")":
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return stack
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/* Special operations */
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case words[0] == "exit" || words[0] == "e":
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os.Exit(0)
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case words[0] == "help" || words[0] == "h":
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fmt.Println(GENERAL_ERR_MSG)
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continue replForLoop
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case words[0] == "debug" || words[0] == "d":
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fmt.Printf("Old dist: %v\n", stack.old_dist)
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fmt.Printf("Vars: %v\n", stack.vars)
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continue replForLoop
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case words[0] == "clear" || words[0] == "c" || words[0] == ".":
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stack.old_dist = INIT_DIST
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fmt.Println()
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continue replForLoop
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/* Variable assignment */
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case words[0] == "=:" && len(words) == 2:
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stack.vars[words[1]] = stack.old_dist
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fmt.Printf("%s ", words[1])
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prettyPrintDist(stack.old_dist)
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continue replForLoop
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case words[0] == "=." && len(words) == 2:
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stack.vars[words[1]] = stack.old_dist
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fmt.Printf("%s ", words[1])
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prettyPrintDist(stack.old_dist)
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stack.old_dist = INIT_DIST
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fmt.Println()
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continue replForLoop
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default:
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op, new_dist, err := parseLineIntoOpAndDist(new_line, stack.vars)
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if err != nil {
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continue replForLoop
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}
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stack = combineStackAndDist(stack, new_dist, op)
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prettyPrintDist(stack.old_dist)
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}
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}
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}
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/* Main event loop */
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func main() {
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reader := bufio.NewReader(os.Stdin)
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stack := Stack{old_dist: INIT_DIST, vars: make(map[string]Dist)}
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runRepl(stack, reader)
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}
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