more feng shui
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README.md
70
README.md
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@ -1,6 +1,6 @@
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# A minimalist calculator for fermi estimation
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# A minimalist calculator for f estimation
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This project is a minimalist, stack-based DSL for Fermi estimation. It can multiply and divide scalars, lognormals and beta distributions.
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This project is a minimalist, stack-based DSL for f estimation. It can multiply and divide scalars, lognormals and beta distributions.
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## Motivation
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## Motivation
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@ -11,7 +11,7 @@ Sometimes, [Squiggle](https://github.com/quantified-uncertainty/squiggle), [simp
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Here is an example
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Here is an example
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```
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```
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$ go run fermi.go
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$ go run f.go
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5000000 12000000
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5000000 12000000
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=> 5.0M 12.0M
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=> 5.0M 12.0M
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* beta 1 200
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* beta 1 200
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@ -31,7 +31,7 @@ $ go run fermi.go
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Perhaps this example is more understandable with comments and better units:
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Perhaps this example is more understandable with comments and better units:
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```
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```
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$ sed -u "s|#.*||" | sed -u 's|M|000000|g' | go run fermi.go
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$ sed -u "s|#.*||" | sed -u 's|M|000000|g' | go run f.go
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5M 12M # number of people living in Chicago
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5M 12M # number of people living in Chicago
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=> 5.0M 12.0M
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=> 5.0M 12.0M
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* beta 1 200 # fraction of people that have a piano
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* beta 1 200 # fraction of people that have a piano
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@ -74,12 +74,40 @@ x
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The difference between `=: x` and `=. y` is that `=.` clears the stack after the assignment.
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The difference between `=: x` and `=. y` is that `=.` clears the stack after the assignment.
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If you type "help", you can see a small grammar:
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```
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help
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Operation | Variable assignment | Special
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Operation: operator operand
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operator: (empty) | * | / | + | -
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operand: scalar | lognormal | beta | variable
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lognormal: low high
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beta: beta alpha beta
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Variable assignment: =: variable_name
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Clear stack: . | c | clear
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Variable assignment and clear stack: =. variable_name
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Other special operations: help | debug | exit
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Examples:
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+ 2
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/ 2.5
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* 1 10 (interpreted as lognormal)
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+ 1 10
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* beta 1 10
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1 10 (multiplication taken as default operation)
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=: x
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.
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1 100
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+ x
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exit
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```
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## Installation
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## Installation
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```
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```
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make build
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make build
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sudo make install
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sudo make install
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f # rather than the previous go run fermi.go
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f # rather than the previous go run f.go
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```
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```
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Why use make instead of the built-in go commands? Because the point of make is to be able to share command-line recipes.
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Why use make instead of the built-in go commands? Because the point of make is to be able to share command-line recipes.
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@ -93,8 +121,8 @@ sed -u "s|#.*||" | sed -u 's|M|000000|g' | f
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cat more/piano-tuners.f | f
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cat more/piano-tuners.f | f
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cat more/piano-tuners-commented.f | sed -u "s|#.*||" | sed -u 's|M|000000|g' | f
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cat more/piano-tuners-commented.f | sed -u "s|#.*||" | sed -u 's|M|000000|g' | f
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tee -a input.log | go run fermi.go | tee -a output.log
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tee -a input.log | go run f.go | tee -a output.log
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tee -a io.log | go run fermi.go | tee -a io.log
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tee -a io.log | go run f.go | tee -a io.log
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function f(){
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function f(){
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sed -u "s|#.*||" |
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sed -u "s|#.*||" |
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@ -114,8 +142,17 @@ Note that these sed commands are just hacks, and won't parse e.g., `3.5K` correc
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- Sums and divisions now also supported
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- Sums and divisions now also supported
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- For things between 0 and 1, consider using a beta distribution
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- For things between 0 and 1, consider using a beta distribution
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## Different levels of complexity
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The top level f.go file (400 lines) has a bunch of complexity: variables, parenthesis, samples, beta distributions. In the simple/ folder:
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- f_simple.go (370 lines) strips variables and parenthesis, but keeps beta distributions, samples, and addition and substraction
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- f_minimal.go (140 lines) strips everything that isn't lognormal and scalar multiplication and addition, plus a few debug options.
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## Roadmap
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## Roadmap
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Done:
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- [x] Write README
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- [x] Write README
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- [x] Add division?
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- [x] Add division?
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- [x] Read from file?
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- [x] Read from file?
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@ -124,13 +161,10 @@ Note that these sed commands are just hacks, and won't parse e.g., `3.5K` correc
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- [x] Use a sed filter?
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- [x] Use a sed filter?
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- [x] Add show more info version
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- [x] Add show more info version
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- [x] Scalar multiplication and division
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- [x] Scalar multiplication and division
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- [ ] Program into a small device, like a calculator?
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- [-] Think of some way of calling bc
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- [x] Think how to integrate with squiggle.c to draw samples
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- [x] Think how to integrate with squiggle.c to draw samples
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- [x] Copy the time to botec go code
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- [x] Copy the time to botec go code
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- [x] Define samplers
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- [x] Define samplers
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- [x] Call those samplers when operating on distributions that can't be operted on algebraically
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- [x] Call those samplers when operating on distributions that can't be operted on algebraically
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- [ ] Think about how to draw a histogram from samples
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- [x] Display output more nicely, with K/M/B/T
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- [x] Display output more nicely, with K/M/B/T
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- [x] Consider the following: make this into a stack-based DSL, with:
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- [x] Consider the following: make this into a stack-based DSL, with:
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- [x] Variables that can be saved to and then displayed
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- [x] Variables that can be saved to and then displayed
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- Joint types
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- Joint types
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- Enums
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- Enums
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- [x] Fix correlation problem, by spinning up a new randomness thing every time some serial computation is done.
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- [x] Fix correlation problem, by spinning up a new randomness thing every time some serial computation is done.
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- [ ] Maintain *both* a more complex thing that's more featureful *and* the more simple multiplication of lognormals thing.
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- [x] Clean up error code. Right now only needed for division
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- [ ] Clean up error code. Right now only needed for division
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- [x] Maintain *both* a more complex thing that's more featureful *and* the more simple multiplication of lognormals thing.
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To (possibly) do:
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- [ ] Document parenthesis syntax
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- [ ] Allow input with K/M/T
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- [ ] Add functions. Now easier to do with an explicit representation of the stakc
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- [ ] Think about how to draw a histogram from samples
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- [ ] Dump samples to file
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- [ ] Dump samples to file
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- [ ] Represent samples/statistics in some other way
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- [ ] Represent samples/statistics in some other way
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- [ ] Perhaps use qsort rather than full sorting
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- [ ] Perhaps use qsort rather than full sorting
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- [ ] Program into a small device, like a calculator?
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Some possible syntax for a more expressive stack-based DSL (now implemented)
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Discarded:
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- [ ] ~~Think of some way of calling bc~~
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31
f.go
31
f.go
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)
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)
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/* Types and interfaces */
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/* Types and interfaces */
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type Stack struct {
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type Stack struct {
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old_dist Dist
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old_dist Dist
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vars map[string]Dist
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vars map[string]Dist
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@ -52,7 +51,6 @@ func (p Scalar) Samples() []float64 {
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func (ln Lognormal) Samples() []float64 {
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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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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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// 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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return sample.Sample_serially(sampler, N_SAMPLES)
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}
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}
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@ -162,7 +160,6 @@ func operateDistsAsSamples(dist1 Dist, dist2 Dist, op string) (Dist, error) {
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}
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}
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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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return FilledSamples{xs: zs}, nil
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}
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}
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{
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{
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switch n := new_dist.(type) {
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switch n := new_dist.(type) {
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case Lognormal:
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case Lognormal:
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// to do: check division by zero
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if n.high == 0 || n.low == 0 {
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if n.high == 0 || n.low == 0 {
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fmt.Println("Error: Can't divide by 0.0")
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fmt.Println("Error: Can't divide by 0.0")
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return nil, errors.New("Error: division by zero")
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return nil, errors.New("Error: division by zero")
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}
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}
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return multiplyLogDists(o, Lognormal{low: 1.0 / n.high, high: 1.0 / n.low}), nil
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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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case Scalar:
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// to do: check division by zero
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if n == 0.0 {
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if n == 0.0 {
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fmt.Println("Error: Can't divide by 0.0")
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fmt.Println("Error: Can't divide by 0.0")
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return nil, errors.New("Error: division by zero scalar")
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return nil, errors.New("Error: division by zero scalar")
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case Lognormal:
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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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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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case Scalar:
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// to do: check division by zero
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if n == 0.0 {
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if n == 0.0 {
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fmt.Println("Error: Can't divide by 0.0")
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fmt.Println("Error: Can't divide by 0.0")
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return nil, errors.New("Error: division by zero scalar")
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return nil, errors.New("Error: division by zero scalar")
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}
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}
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/* Parser and repl */
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/* Parser and repl */
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func parseLineIntoOpAndDist(line string, vars map[string]Dist) (string, Dist, error) {
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func parseWordsErr(err_msg string) (string, Dist, error) {
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return "", nil, printAndReturnErr(err_msg)
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}
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func parseWordsIntoOpAndDist(words []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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op := ""
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var dist Dist
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var dist Dist
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op = "*" // later, change the below to
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op = "*" // later, change the below to
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}
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}
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parseLineErr := func(err_msg string) (string, Dist, error) {
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return "", nil, printAndReturnErr(err_msg)
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}
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switch len(words) {
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switch len(words) {
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case 0:
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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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return parseWordsErr("Operator must have operand; can't operate on nothing")
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case 1:
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case 1:
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var_word, var_word_exists := vars[words[0]]
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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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single_float, err1 := strconv.ParseFloat(words[0], 64) // abstract this away to search for K/M/B/T/etc.
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case err1 == nil:
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case err1 == nil:
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dist = Scalar(single_float)
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dist = Scalar(single_float)
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case err1 != nil && !var_word_exists:
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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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return parseWordsErr("Trying to operate on a scalar, but scalar is neither a float nor an assigned variable")
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}
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}
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case 2:
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case 2:
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new_low, err1 := strconv.ParseFloat(words[0], 64)
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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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new_high, err2 := strconv.ParseFloat(words[1], 64)
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if err1 != nil || err2 != nil {
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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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return parseWordsErr("Trying to operate by a distribution, but distribution is not specified as two floats")
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}
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}
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dist = Lognormal{low: new_low, high: new_high}
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dist = Lognormal{low: new_low, high: new_high}
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case 3:
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case 3:
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a, err1 := strconv.ParseFloat(words[1], 64)
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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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b, err2 := strconv.ParseFloat(words[2], 64)
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if err1 != nil || err2 != nil {
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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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return parseWordsErr("Trying to specify a beta distribution? Try beta 1 2")
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}
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}
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dist = Beta{a: a, b: b}
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dist = Beta{a: a, b: b}
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} else {
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} else {
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return parseLineErr("Input not understood or not implemented yet")
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return parseWordsErr("Input not understood or not implemented yet")
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}
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}
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default:
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default:
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return parseLineErr("Input not understood or not implemented yet")
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return parseWordsErr("Input not understood or not implemented yet")
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}
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}
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return op, dist, nil
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return op, dist, nil
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}
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}
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/* Combine old dist and new line */
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/* Combine old dist and new line */
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@ -389,7 +380,7 @@ replForLoop:
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// fmt.Println()
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// fmt.Println()
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// continue replForLoop
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// continue replForLoop
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default:
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default:
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op, new_dist, err := parseLineIntoOpAndDist(new_line, stack.vars)
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op, new_dist, err := parseWordsIntoOpAndDist(words, stack.vars)
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if err != nil {
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if err != nil {
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continue replForLoop
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continue replForLoop
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}
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}
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140
simple/f_minimal.go
Normal file
140
simple/f_minimal.go
Normal file
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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/pretty"
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"math"
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"os"
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"strconv"
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"strings"
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)
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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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const HELP_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\n" +
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" lognormal: low high\n" +
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" Clear stack: . | c | clear\n" +
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" Other special operations: help | debug | exit\n" +
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" Examples: \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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" 1 10 (multiplication taken as default operation)\n" +
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" .\n" +
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" exit\n"
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const NORMAL90CONFIDENCE = 1.6448536269514727
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const N_SAMPLES = 100_000
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func prettyPrintLognormal(l Lognormal) {
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fmt.Printf("=> ")
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pretty.PrettyPrint2Floats(l.low, l.high)
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fmt.Println()
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}
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func printAndReturnErr(err_msg string) error {
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fmt.Println(err_msg)
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fmt.Println(HELP_MSG)
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return errors.New(err_msg)
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}
|
||||||
|
|
||||||
|
func multiplyLogDists(l1 Lognormal, l2 Lognormal) Lognormal {
|
||||||
|
logmean1 := (math.Log(l1.high) + math.Log(l1.low)) / 2.0
|
||||||
|
logstd1 := (math.Log(l1.high) - math.Log(l1.low)) / (2.0 * NORMAL90CONFIDENCE)
|
||||||
|
|
||||||
|
logmean2 := (math.Log(l2.high) + math.Log(l2.low)) / 2.0
|
||||||
|
logstd2 := (math.Log(l2.high) - math.Log(l2.low)) / (2.0 * NORMAL90CONFIDENCE)
|
||||||
|
|
||||||
|
logmean_product := logmean1 + logmean2
|
||||||
|
logstd_product := math.Sqrt(logstd1*logstd1 + logstd2*logstd2)
|
||||||
|
|
||||||
|
h := logstd_product * NORMAL90CONFIDENCE
|
||||||
|
loglow := logmean_product - h
|
||||||
|
loghigh := logmean_product + h
|
||||||
|
return Lognormal{low: math.Exp(loglow), high: math.Exp(loghigh)}
|
||||||
|
}
|
||||||
|
|
||||||
|
func divideLogDists(l1 Lognormal, l2 Lognormal) (Lognormal, error) {
|
||||||
|
if l2.high == 0 || l2.low == 0 {
|
||||||
|
fmt.Println("Error: Can't divide by 0.0")
|
||||||
|
return Lognormal{}, errors.New("Error: division by zero")
|
||||||
|
}
|
||||||
|
return multiplyLogDists(l1, Lognormal{low: 1.0 / l2.high, high: 1.0 / l2.low}), nil
|
||||||
|
}
|
||||||
|
|
||||||
|
func parseWordsErr(err_msg string) (string, Lognormal, error) {
|
||||||
|
return "", Lognormal{}, printAndReturnErr(err_msg)
|
||||||
|
}
|
||||||
|
func parseWordsIntoOpAndDist(words []string) (string, Lognormal, error) {
|
||||||
|
op := ""
|
||||||
|
var dist Lognormal
|
||||||
|
|
||||||
|
switch words[0] {
|
||||||
|
case "*", "/":
|
||||||
|
op = words[0]
|
||||||
|
words = words[1:]
|
||||||
|
default:
|
||||||
|
op = "*"
|
||||||
|
}
|
||||||
|
|
||||||
|
switch len(words) {
|
||||||
|
case 0:
|
||||||
|
return parseWordsErr("Operator must have operand; can't operate on nothing")
|
||||||
|
case 1:
|
||||||
|
single_float, err := strconv.ParseFloat(words[0], 64) // abstract this away to search for K/M/B/T/etc.
|
||||||
|
if err != nil {
|
||||||
|
return parseWordsErr("Trying to operate on a scalar, but scalar is neither a float nor an assigned variable")
|
||||||
|
}
|
||||||
|
dist = Lognormal{low: single_float, high: single_float}
|
||||||
|
case 2:
|
||||||
|
new_low, err1 := strconv.ParseFloat(words[0], 64)
|
||||||
|
new_high, err2 := strconv.ParseFloat(words[1], 64)
|
||||||
|
if err1 != nil || err2 != nil {
|
||||||
|
return parseWordsErr("Trying to operate by a distribution, but distribution is not specified as two floats")
|
||||||
|
}
|
||||||
|
dist = Lognormal{low: new_low, high: new_high}
|
||||||
|
default:
|
||||||
|
return parseWordsErr("Input not understood or not implemented yet")
|
||||||
|
}
|
||||||
|
return op, dist, nil
|
||||||
|
}
|
||||||
|
|
||||||
|
func main() {
|
||||||
|
reader := bufio.NewReader(os.Stdin)
|
||||||
|
old_dist := Lognormal{low: 1, high: 1}
|
||||||
|
|
||||||
|
replForLoop:
|
||||||
|
for {
|
||||||
|
|
||||||
|
new_line, _ := reader.ReadString('\n')
|
||||||
|
words := strings.Split(strings.TrimSpace(new_line), " ")
|
||||||
|
|
||||||
|
if strings.TrimSpace(new_line) == "" {
|
||||||
|
continue replForLoop
|
||||||
|
}
|
||||||
|
|
||||||
|
op, new_dist, err := parseWordsIntoOpAndDist(words)
|
||||||
|
if err != nil {
|
||||||
|
continue replForLoop
|
||||||
|
}
|
||||||
|
switch op {
|
||||||
|
case "*":
|
||||||
|
old_dist = multiplyLogDists(old_dist, new_dist)
|
||||||
|
case "/":
|
||||||
|
result_dist, err := divideLogDists(old_dist, new_dist)
|
||||||
|
if err != nil {
|
||||||
|
continue replForLoop
|
||||||
|
}
|
||||||
|
old_dist = result_dist
|
||||||
|
|
||||||
|
}
|
||||||
|
prettyPrintLognormal(old_dist)
|
||||||
|
}
|
||||||
|
}
|
|
@ -63,7 +63,7 @@ func (fs FilledSamples) Samples() []float64 {
|
||||||
const HELP_MSG = " Operation | Variable assignment | Special\n" +
|
const HELP_MSG = " Operation | Variable assignment | Special\n" +
|
||||||
" Operation: operator operand\n" +
|
" Operation: operator operand\n" +
|
||||||
" operator: (empty) | * | / | + | -\n" +
|
" operator: (empty) | * | / | + | -\n" +
|
||||||
" operand: scalar | lognormal | beta | variable\n" +
|
" operand: scalar | lognormal | beta\n" +
|
||||||
" lognormal: low high\n" +
|
" lognormal: low high\n" +
|
||||||
" beta: beta alpha beta\n" +
|
" beta: beta alpha beta\n" +
|
||||||
" Clear stack: . | c | clear\n" +
|
" Clear stack: . | c | clear\n" +
|
||||||
|
@ -279,9 +279,11 @@ func operateDists(old_dist Dist, new_dist Dist, op string) (Dist, error) {
|
||||||
}
|
}
|
||||||
|
|
||||||
/* Parser and repl */
|
/* Parser and repl */
|
||||||
func parseLineIntoOpAndDist(line string) (string, Dist, error) {
|
func parseWordsErr(err_msg string) (string, Dist, error) {
|
||||||
|
return "", nil, printAndReturnErr(err_msg)
|
||||||
|
}
|
||||||
|
func parseWordsIntoOpAndDist(words []string) (string, Dist, error) {
|
||||||
|
|
||||||
words := strings.Split(strings.TrimSpace(line), " ")
|
|
||||||
op := ""
|
op := ""
|
||||||
var dist Dist
|
var dist Dist
|
||||||
|
|
||||||
|
@ -293,24 +295,20 @@ func parseLineIntoOpAndDist(line string) (string, Dist, error) {
|
||||||
op = "*" // later, change the below to
|
op = "*" // later, change the below to
|
||||||
}
|
}
|
||||||
|
|
||||||
parseLineErr := func(err_msg string) (string, Dist, error) {
|
|
||||||
return "", nil, printAndReturnErr(err_msg)
|
|
||||||
}
|
|
||||||
|
|
||||||
switch len(words) {
|
switch len(words) {
|
||||||
case 0:
|
case 0:
|
||||||
return parseLineErr("Operator must have operand; can't operate on nothing")
|
return parseWordsErr("Operator must have operand; can't operate on nothing")
|
||||||
case 1:
|
case 1:
|
||||||
single_float, err := strconv.ParseFloat(words[0], 64) // abstract this away to search for K/M/B/T/etc.
|
single_float, err := strconv.ParseFloat(words[0], 64) // abstract this away to search for K/M/B/T/etc.
|
||||||
if err != nil {
|
if err != nil {
|
||||||
return parseLineErr("Trying to operate on a scalar, but scalar is neither a float nor an assigned variable")
|
return parseWordsErr("Trying to operate on a scalar, but scalar is neither a float nor an assigned variable")
|
||||||
}
|
}
|
||||||
dist = Scalar(single_float)
|
dist = Scalar(single_float)
|
||||||
case 2:
|
case 2:
|
||||||
new_low, err1 := strconv.ParseFloat(words[0], 64)
|
new_low, err1 := strconv.ParseFloat(words[0], 64)
|
||||||
new_high, err2 := strconv.ParseFloat(words[1], 64)
|
new_high, err2 := strconv.ParseFloat(words[1], 64)
|
||||||
if err1 != nil || err2 != nil {
|
if err1 != nil || err2 != nil {
|
||||||
return parseLineErr("Trying to operate by a distribution, but distribution is not specified as two floats")
|
return parseWordsErr("Trying to operate by a distribution, but distribution is not specified as two floats")
|
||||||
}
|
}
|
||||||
dist = Lognormal{low: new_low, high: new_high}
|
dist = Lognormal{low: new_low, high: new_high}
|
||||||
case 3:
|
case 3:
|
||||||
|
@ -318,14 +316,14 @@ func parseLineIntoOpAndDist(line string) (string, Dist, error) {
|
||||||
a, err1 := strconv.ParseFloat(words[1], 64)
|
a, err1 := strconv.ParseFloat(words[1], 64)
|
||||||
b, err2 := strconv.ParseFloat(words[2], 64)
|
b, err2 := strconv.ParseFloat(words[2], 64)
|
||||||
if err1 != nil || err2 != nil {
|
if err1 != nil || err2 != nil {
|
||||||
return parseLineErr("Trying to specify a beta distribution? Try beta 1 2")
|
return parseWordsErr("Trying to specify a beta distribution? Try beta 1 2")
|
||||||
}
|
}
|
||||||
dist = Beta{a: a, b: b}
|
dist = Beta{a: a, b: b}
|
||||||
} else {
|
} else {
|
||||||
return parseLineErr("Input not understood or not implemented yet")
|
return parseWordsErr("Input not understood or not implemented yet")
|
||||||
}
|
}
|
||||||
default:
|
default:
|
||||||
return parseLineErr("Input not understood or not implemented yet")
|
return parseWordsErr("Input not understood or not implemented yet")
|
||||||
}
|
}
|
||||||
return op, dist, nil
|
return op, dist, nil
|
||||||
|
|
||||||
|
@ -358,7 +356,7 @@ replForLoop:
|
||||||
continue replForLoop
|
continue replForLoop
|
||||||
}
|
}
|
||||||
|
|
||||||
op, new_dist, err := parseLineIntoOpAndDist(new_line)
|
op, new_dist, err := parseWordsIntoOpAndDist(words)
|
||||||
if err != nil {
|
if err != nil {
|
||||||
continue replForLoop
|
continue replForLoop
|
||||||
}
|
}
|
Loading…
Reference in New Issue
Block a user