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use crate::ast::operator::Operator::{Add, Divide, Multiply, Power, Subtract};
use crate::parsers::math_expression_tree::MathExpressionTree::Atom;
use crate::parsers::math_expression_tree::MathExpressionTree::Cons;
use crate::{
ast::{
operator::{Derivative, Operator},
Ci, MathExpression, Type,
},
parsers::{
generic_mathml::{attribute, equals, etag, stag, ws, IResult, Span},
interpreted_mathml::{
ci_univariate_with_bounds, ci_univariate_without_bounds, ci_unknown_with_bounds,
ci_unknown_without_bounds, first_order_dderivative_leibniz_notation,
first_order_derivative_leibniz_notation,
first_order_partial_derivative_leibniz_notation,
first_order_partial_derivative_partial_func, math_expression, newtonian_derivative,
operator,
},
math_expression_tree::MathExpressionTree,
},
};
use derive_new::new;
use nom::{
branch::alt,
bytes::complete::tag,
combinator::map,
multi::{many0, many1},
sequence::{delimited, tuple},
};
use std::convert::TryInto;
use std::fs::File;
use std::io::{BufRead, BufReader};
use std::str::FromStr;
use crate::ast::operator::DerivativeNotation;
#[cfg(test)]
use crate::{ast::Mi, parsers::generic_mathml::test_parser};
/// First order ordinary differential equation.
/// This assumes that the left hand side of the equation consists solely of a derivative expressed
/// in Leibniz or Newtonian notation.
#[derive(Debug, Ord, PartialOrd, PartialEq, Eq, Clone, Hash, new)]
pub struct FirstOrderODE {
/// The variable/univariate function on the LHS of the equation that is being
/// differentiated. This variable may be referred to as a 'specie', 'state', or 'vertex' in the
/// context of discussions about Petri Nets and RegNets.
pub lhs_var: Ci,
pub func_of: Vec<Ci>,
pub with_respect_to: Ci,
/// An expression tree corresponding to the RHS of the ODE.
pub rhs: MathExpressionTree,
}
/// Parse a first order ODE with a single derivative term on the LHS.
pub fn first_order_ode(input: Span) -> IResult<FirstOrderODE> {
let (s, _) = stag!("math")(input)?;
// Recognize LHS derivative
let (s, (derivative, ci)) = alt((
first_order_derivative_leibniz_notation,
newtonian_derivative,
first_order_partial_derivative_leibniz_notation,
first_order_partial_derivative_partial_func,
first_order_dderivative_leibniz_notation,
))(s)?;
//let ci = binding.content;
//let parenthesized = ci.func_of.clone();
let mut parenthesized: Vec<Ci> = Vec::new();
if let Some(ref ci_vec) = ci.func_of {
//for bvar in ci_vec.clone().iter() {
if let Some(bounds) = Some(ci_vec.clone()) {
for bvar in bounds {
parenthesized.push(bvar);
}
}
//}
}
let bvar = derivative.bound_var;
// Recognize equals sign
let (s, _) = delimited(stag!("mo"), equals, etag!("mo"))(s)?;
// Recognize other tokens
let (s, remaining_tokens) = many1(alt((
map(
ci_univariate_with_bounds,
|Ci {
content, func_of, ..
}| {
MathExpression::Ci(Ci {
r#type: Some(Type::Function),
content,
func_of,
notation: None,
})
},
),
map(ci_univariate_without_bounds, MathExpression::Ci),
map(ci_unknown_without_bounds, |Ci { content, .. }| {
MathExpression::Ci(Ci {
r#type: Some(Type::Function),
content,
func_of: None,
notation: None,
})
}),
map(
ci_unknown_with_bounds,
|Ci {
content, func_of, ..
}| {
MathExpression::Ci(Ci {
r#type: Some(Type::Function),
content,
func_of,
notation: None,
})
},
),
map(operator, MathExpression::Mo),
math_expression,
)))(s)?;
let (s, _) = etag!("math")(s)?;
let ode = FirstOrderODE {
lhs_var: ci,
func_of: parenthesized,
with_respect_to: bvar,
rhs: MathExpressionTree::from(remaining_tokens),
};
Ok((s, ode))
}
impl FirstOrderODE {
pub fn to_cmml(&self) -> String {
let lhs_expression_tree = MathExpressionTree::Cons(
Operator::Derivative(Derivative::new(
1,
1,
self.with_respect_to.clone(),
DerivativeNotation::LeibnizTotal,
)),
vec![MathExpressionTree::Atom(MathExpression::Ci(
self.lhs_var.clone(),
))],
);
let combined = MathExpressionTree::Cons(
Operator::Equals,
vec![lhs_expression_tree, self.rhs.clone()],
);
combined.to_cmml()
}
}
impl FromStr for FirstOrderODE {
type Err = String;
fn from_str(s: &str) -> Result<Self, Self::Err> {
first_order_ode(s.into())
.map(|(_, ode)| ode)
.map_err(|err| err.to_string())
}
}
//--------------------------------------
// Methods for extraction of PN AMR from ODE's
//--------------------------------------
#[allow(non_snake_case)]
pub fn get_FirstOrderODE_vec_from_file(filepath: &str) -> Vec<FirstOrderODE> {
let f = File::open(filepath).unwrap();
let lines = BufReader::new(f).lines();
let mut ode_vec = Vec::<FirstOrderODE>::new();
for line in lines.flatten() {
if let Some('#') = &line.chars().next() {
// Ignore lines starting with '#'
} else {
// Parse MathML into FirstOrderODE
let mut ode = line
.parse::<FirstOrderODE>()
.unwrap_or_else(|_| panic!("Unable to parse line {}!", line));
ode.rhs = flatten_mults(ode.rhs.clone());
ode_vec.push(ode);
}
}
ode_vec
}
// this struct is for representing terms in an ODE system on equations
#[derive(Debug, Default, PartialEq, Eq, Clone, PartialOrd, Ord)]
pub struct PnTerm {
pub dyn_state: String,
pub exp_states: Vec<String>, // list of state variables in term
pub polarity: bool, // polarity of term
pub expression: String, // content mathml for the expression
pub expression_infix: String,
pub parameters: Vec<String>, // list of parameters in term
pub sub_terms: Option<Vec<PnTerm>>, // This is to handle when we need to distribute or not for terms.
pub math_vec: Option<MathExpressionTree>, // This is to allows for easy distribution using our current frame work
}
// refactored
// this function takes in one ode equations and returns a vector of the terms in it
pub fn get_terms(sys_states: Vec<String>, ode: FirstOrderODE) -> Vec<PnTerm> {
let mut terms = Vec::<PnTerm>::new();
let _exp_states = Vec::<String>::new();
let _parameters = Vec::<String>::new();
let dyn_state = ode.lhs_var.to_string();
match ode.rhs {
Cons(ref x, ref y) => match &x {
Multiply => {
let mut temp_term = get_terms_mult(sys_states, y.clone());
temp_term.dyn_state = dyn_state;
terms.push(temp_term);
}
Divide => {
let mut temp_term = get_term_div(sys_states, y.clone());
temp_term.dyn_state = dyn_state;
terms.push(temp_term);
}
Add => {
let temp_terms = get_terms_add(sys_states, y.clone());
for term in temp_terms.iter() {
let mut t_term = term.clone();
t_term.dyn_state = dyn_state.clone();
terms.push(t_term.clone());
}
}
Subtract => {
let temp_terms = get_terms_sub(sys_states, y.clone());
for term in temp_terms.iter() {
let mut t_term = term.clone();
t_term.dyn_state = dyn_state.clone();
terms.push(t_term.clone());
}
}
Power => {
let mut temp_term = get_term_power(sys_states, y.clone());
temp_term.dyn_state = dyn_state;
terms.push(temp_term);
}
_ => {
println!("Warning unsupported case");
}
},
Atom(ref x) => {
// also need to construct a partial term here to handle distribution of just a parameter
let mut is_state = false;
for state in sys_states.iter() {
if x.to_string() == *state {
is_state = true;
}
}
if is_state {
let temp_term = PnTerm {
dyn_state: "temp".to_string(),
exp_states: [x.to_string().clone()].to_vec(),
polarity: true,
expression: "".to_string(),
expression_infix: "".to_string(),
parameters: Vec::<String>::new(),
sub_terms: None,
math_vec: None,
};
terms.push(temp_term.clone());
} else {
let temp_term = PnTerm {
dyn_state: "temp".to_string(),
exp_states: Vec::<String>::new(),
polarity: true,
expression: "".to_string(),
expression_infix: "".to_string(),
parameters: [x.to_string().clone()].to_vec(),
sub_terms: None,
math_vec: None,
};
terms.push(temp_term.clone());
}
}
}
terms
}
pub fn get_term_power(sys_states: Vec<String>, eq: Vec<MathExpressionTree>) -> PnTerm {
let mut variables = Vec::<String>::new();
let mut exp_states = Vec::<String>::new();
let mut polarity = true;
let mut power = 0;
// assume power arguments are only length 2.
power = eq[1].to_string().parse::<i32>().unwrap();
// this walks the tree and composes a vector of all variable and polarity changes
for (i, obj) in eq.iter().enumerate() {
match obj {
Cons(x, y) => {
match &x {
Subtract => {
if y.len() == 1 {
polarity = false;
variables.push(y[0].to_string());
} else {
for var in y.iter() {
variables.push(var.to_string().clone());
}
}
}
Multiply => {
// call mult function to get a partial term
let mut temp_term = get_term_mult(sys_states.clone(), y.clone());
// parse term polarity
polarity = temp_term.polarity;
// parse term parameters and expression states
// need to do both to populate both later
variables.append(&mut temp_term.parameters);
let mut j = 0;
while j < power {
variables.append(&mut temp_term.exp_states);
j += 1;
}
}
Add => {
if y.len() == 1 {
// really should need to support unary addition, but oh well
variables.push(y[0].to_string());
} else {
for var in y.iter() {
variables.push(var.to_string().clone());
}
}
}
_ => {
println!("Not expected operation inside Power")
}
}
}
Atom(x) => {
// need to add expression state a number of times equal to the power
if i == 0 {
let mut j = 0;
while j < power {
variables.push(x.to_string());
j += 1;
}
} else {
variables.push(x.to_string());
}
}
}
}
// this compiles the vector of expression states for the term
let mut ind = Vec::<usize>::new();
for (i, var) in variables.iter().enumerate() {
for sys_var in sys_states.iter() {
if var == sys_var {
exp_states.push(var.clone());
ind.push(i);
}
}
}
// this removes the expression states from the variable vector
for i in ind.iter().rev() {
variables.remove(*i);
}
// now to dedup variables and exp_states
variables.sort();
variables.dedup();
exp_states.sort();
//exp_states.dedup();
PnTerm {
dyn_state: "temp".to_string(),
exp_states,
polarity,
expression: MathExpressionTree::Cons(Multiply, eq.clone()).to_cmml(),
expression_infix: MathExpressionTree::Cons(Multiply, eq).to_infix_expression(),
parameters: variables,
sub_terms: None,
math_vec: None,
}
}
// this takes in the arguments of a closer to root level add operator and returns the PnTerms for it's subgraphs
// we do expect at most multiplication, subtraction, division, or addition
pub fn get_terms_add(sys_states: Vec<String>, eq: Vec<MathExpressionTree>) -> Vec<PnTerm> {
let mut terms = Vec::<PnTerm>::new();
/* found multiple terms */
for arg in eq.iter() {
match &arg {
Cons(x1, ref y1) => match x1 {
Multiply => {
let mut temp_term = get_terms_mult(sys_states.clone(), y1.clone());
temp_term.math_vec = Some(arg.clone());
terms.push(temp_term);
}
Divide => {
let mut temp_term = get_term_div(sys_states.clone(), y1.clone());
temp_term.math_vec = Some(arg.clone());
terms.push(temp_term);
}
Subtract => {
let temp_terms = get_terms_sub(sys_states.clone(), y1.clone());
for term in temp_terms.iter() {
terms.push(term.clone());
}
}
Add => {
let temp_terms = get_terms_add(sys_states.clone(), y1.clone());
for term in temp_terms.iter() {
terms.push(term.clone());
}
}
Power => {
let mut temp_term = get_term_power(sys_states.clone(), y1.clone());
temp_term.math_vec = Some(arg.clone());
terms.push(temp_term);
}
_ => {
println!("Error unsupported operation")
}
},
Atom(ref x) => {
// also need to construct a partial term here to handle distribution of just a parameter
let mut is_state = false;
for state in sys_states.iter() {
if x.to_string() == *state {
is_state = true;
}
}
if is_state {
let temp_term = PnTerm {
dyn_state: "temp".to_string(),
exp_states: [x.to_string().clone()].to_vec(),
polarity: true,
expression: MathExpressionTree::Cons(Add, [arg.clone()].to_vec()).to_cmml(),
expression_infix: MathExpressionTree::Cons(Add, [arg.clone()].to_vec()).to_infix_expression(),
parameters: Vec::<String>::new(),
sub_terms: None,
math_vec: Some(arg.clone()),
};
terms.push(temp_term.clone());
} else {
let temp_term = PnTerm {
dyn_state: "temp".to_string(),
exp_states: Vec::<String>::new(),
polarity: true,
expression: MathExpressionTree::Cons(Add, [arg.clone()].to_vec()).to_cmml(),
expression_infix: MathExpressionTree::Cons(Add, [arg.clone()].to_vec()).to_infix_expression(),
parameters: [x.to_string().clone()].to_vec(),
sub_terms: None,
math_vec: Some(arg.clone()),
};
terms.push(temp_term.clone());
}
}
}
}
terms
}
// this takes in the arguments of a closer to root level sub operator and returns the PnTerms for it's subgraphs
// we do expect at most multiplication, subtraction, division, or addition
pub fn get_terms_sub(sys_states: Vec<String>, eq: Vec<MathExpressionTree>) -> Vec<PnTerm> {
let mut terms = Vec::<PnTerm>::new();
/* found multiple terms */
/* similar to get_terms_add, but need to swap polarity on term from second arg
and handle unary subtraction too */
let arg_len = eq.len();
// if unary subtraction
if arg_len == 1 {
match &eq[0] {
Cons(x1, ref y1) => match x1 {
Multiply => {
let mut temp_term = get_terms_mult(sys_states, y1.clone());
temp_term.polarity = !temp_term.polarity;
if temp_term.sub_terms.is_some() {
for (i, sub_term) in temp_term.sub_terms.clone().unwrap().iter().enumerate()
{
temp_term.sub_terms.as_mut().unwrap()[i].polarity = !sub_term.polarity;
}
}
temp_term.math_vec = Some(eq[0].clone());
terms.push(temp_term);
}
Divide => {
let mut temp_term = get_term_div(sys_states, y1.clone());
temp_term.polarity = !temp_term.polarity;
if temp_term.sub_terms.is_some() {
for (i, sub_term) in temp_term.sub_terms.clone().unwrap().iter().enumerate()
{
temp_term.sub_terms.as_mut().unwrap()[i].polarity = !sub_term.polarity;
}
}
temp_term.math_vec = Some(eq[0].clone());
terms.push(temp_term);
}
Subtract => {
let temp_terms = get_terms_sub(sys_states, y1.clone());
for term in temp_terms.iter() {
// swap polarity of temp term
let mut t_term = term.clone();
t_term.polarity = !t_term.polarity;
if t_term.sub_terms.is_some() {
for (i, sub_term) in
t_term.sub_terms.clone().unwrap().iter().enumerate()
{
t_term.sub_terms.as_mut().unwrap()[i].polarity = !sub_term.polarity;
}
}
terms.push(t_term.clone());
}
}
Add => {
let temp_terms = get_terms_add(sys_states, y1.clone());
for term in temp_terms.iter() {
// swap polarity of temp term
let mut t_term = term.clone();
t_term.polarity = !t_term.polarity;
if t_term.sub_terms.is_some() {
for (i, sub_term) in
t_term.sub_terms.clone().unwrap().iter().enumerate()
{
t_term.sub_terms.as_mut().unwrap()[i].polarity = !sub_term.polarity;
}
}
terms.push(t_term.clone());
}
}
Power => {
let mut temp_term = get_term_power(sys_states, y1.clone());
temp_term.polarity = !temp_term.polarity;
if temp_term.sub_terms.is_some() {
for (i, sub_term) in temp_term.sub_terms.clone().unwrap().iter().enumerate()
{
temp_term.sub_terms.as_mut().unwrap()[i].polarity = !sub_term.polarity;
}
}
temp_term.math_vec = Some(eq[0].clone());
terms.push(temp_term);
}
_ => {
println!("Not valid term for PN")
}
},
Atom(ref x1) => {
// is either only a state or only a parameter
let mut expression_term = false;
for state in sys_states.iter() {
if *state == x1.to_string() {
expression_term = true;
}
}
if expression_term {
let temp_term = PnTerm {
dyn_state: "temp".to_string(),
exp_states: [x1.to_string()].to_vec(),
polarity: false,
expression: MathExpressionTree::Cons(Subtract, [eq[0].clone()].to_vec())
.to_cmml(),
expression_infix: MathExpressionTree::Cons(Subtract, [eq[0].clone()].to_vec()).to_infix_expression(),
parameters: Vec::<String>::new(),
sub_terms: None,
math_vec: Some(eq[0].clone()),
};
terms.push(temp_term);
} else {
let temp_term = PnTerm {
dyn_state: "temp".to_string(),
exp_states: Vec::<String>::new(),
polarity: false,
expression: MathExpressionTree::Cons(Subtract, [eq[0].clone()].to_vec())
.to_cmml(),
expression_infix: MathExpressionTree::Cons(Subtract, [eq[0].clone()].to_vec()).to_infix_expression(),
parameters: [x1.to_string()].to_vec(),
sub_terms: None,
math_vec: Some(eq[0].clone()),
};
terms.push(temp_term);
}
}
}
} else {
// need to treat second term with polarity swap
for (i, arg) in eq.iter().enumerate() {
match &arg {
Cons(x1, ref y1) => match x1 {
Multiply => {
let mut temp_term = get_terms_mult(sys_states.clone(), y1.clone());
if i == 1 {
// swap polarity of temp term
temp_term.polarity = !temp_term.polarity;
if temp_term.sub_terms.is_some() {
for (i, sub_term) in
temp_term.sub_terms.clone().unwrap().iter().enumerate()
{
temp_term.sub_terms.as_mut().unwrap()[i].polarity =
!sub_term.polarity;
}
}
temp_term.math_vec = Some(arg.clone());
terms.push(temp_term);
} else {
temp_term.math_vec = Some(arg.clone());
terms.push(temp_term);
}
}
Divide => {
let mut temp_term = get_term_div(sys_states.clone(), y1.clone());
if i == 1 {
// swap polarity of temp term
temp_term.polarity = !temp_term.polarity;
if temp_term.sub_terms.is_some() {
for (i, sub_term) in
temp_term.sub_terms.clone().unwrap().iter().enumerate()
{
temp_term.sub_terms.as_mut().unwrap()[i].polarity =
!sub_term.polarity;
}
}
temp_term.math_vec = Some(arg.clone());
terms.push(temp_term);
} else {
temp_term.math_vec = Some(arg.clone());
terms.push(temp_term);
}
}
Subtract => {
let temp_terms = get_terms_sub(sys_states.clone(), y1.clone());
for term in temp_terms.iter() {
let mut t_term = term.clone();
if i == 1 {
// swap polarity of temp term
t_term.polarity = !t_term.polarity;
if t_term.sub_terms.is_some() {
for (i, sub_term) in
t_term.sub_terms.clone().unwrap().iter().enumerate()
{
t_term.sub_terms.as_mut().unwrap()[i].polarity =
!sub_term.polarity;
}
}
terms.push(t_term.clone());
} else {
terms.push(t_term.clone());
}
}
}
Add => {
let temp_terms = get_terms_add(sys_states.clone(), y1.clone());
for term in temp_terms.iter() {
let mut t_term = term.clone();
if i == 1 {
// swap polarity of temp term
t_term.polarity = !t_term.polarity;
if t_term.sub_terms.is_some() {
for (i, sub_term) in
t_term.sub_terms.clone().unwrap().iter().enumerate()
{
t_term.sub_terms.as_mut().unwrap()[i].polarity =
!sub_term.polarity;
}
}
terms.push(t_term.clone());
} else {
terms.push(t_term.clone());
}
}
}
Power => {
let mut temp_term = get_term_power(sys_states.clone(), y1.clone());
if i == 1 {
// swap polarity of temp term
temp_term.polarity = !temp_term.polarity;
if temp_term.sub_terms.is_some() {
for (i, sub_term) in
temp_term.sub_terms.clone().unwrap().iter().enumerate()
{
temp_term.sub_terms.as_mut().unwrap()[i].polarity =
!sub_term.polarity;
}
}
temp_term.math_vec = Some(arg.clone());
terms.push(temp_term);
} else {
temp_term.math_vec = Some(arg.clone());
terms.push(temp_term);
}
}
_ => {
println!("Error unsupported operation")
}
},
Atom(ref x) => {
// also need to construct a partial term here to handle distribution of just a parameter
let mut is_state = false;
let mut polarity = true;
let mut expression =
MathExpressionTree::Cons(Add, [arg.clone()].to_vec()).to_cmml();
let mut expression_infix = MathExpressionTree::Cons(Add, [arg.clone()].to_vec()).to_infix_expression();
if i == 1 {
polarity = false;
expression =
MathExpressionTree::Cons(Subtract, [arg.clone()].to_vec()).to_cmml();
expression_infix = MathExpressionTree::Cons(Subtract, [arg.clone()].to_vec()).to_infix_expression()
}
for state in sys_states.iter() {
if x.to_string() == *state {
is_state = true;
}
}
if is_state {
let temp_term = PnTerm {
dyn_state: "temp".to_string(),
exp_states: [x.to_string().clone()].to_vec(),
polarity,
expression,
expression_infix,
parameters: Vec::<String>::new(),
sub_terms: None,
math_vec: Some(arg.clone()),
};
terms.push(temp_term.clone());
} else {
let temp_term = PnTerm {
dyn_state: "temp".to_string(),
exp_states: Vec::<String>::new(),
polarity,
expression,
expression_infix,
parameters: [x.to_string().clone()].to_vec(),
sub_terms: None,
math_vec: Some(arg.clone()),
};
terms.push(temp_term.clone());
}
}
}
}
}
terms
}
// this takes in the arguments of a div operator and returns the PnTerm for it
// we do expect at most multiplication, subtraction, or addition
pub fn get_term_div(sys_states: Vec<String>, eq: Vec<MathExpressionTree>) -> PnTerm {
let mut variables = Vec::<String>::new();
let mut exp_states = Vec::<String>::new();
let mut polarity = true;
// this walks the tree and composes a vector of all variable and polarity changes
for obj in eq.iter() {
match obj {
Cons(x, y) => {
match &x {
Subtract => {
if y.len() == 1 {
polarity = false;
variables.push(y[0].to_string());
} else {
for var in y.iter() {
variables.push(var.to_string().clone());
}
}
}
Multiply => {
// call mult function to get a partial term
let mut temp_term = get_term_mult(sys_states.clone(), y.clone());
// parse term polarity
polarity = temp_term.polarity;
// parse term parameters and expression states
// need to do both to populate both later
variables.append(&mut temp_term.parameters);
variables.append(&mut temp_term.exp_states);
}
Add => {
if y.len() == 1 {
// really should need to support unary addition, but oh well
variables.push(y[0].to_string());
} else {
for var in y.iter() {
variables.push(var.to_string().clone());
}
}
}
Power => {
// call mult function to get a partial term
let mut temp_term = get_term_power(sys_states.clone(), y.clone());
// parse term polarity
polarity = temp_term.polarity;
// parse term parameters and expression states
// need to do both to populate both later
variables.append(&mut temp_term.parameters);
variables.append(&mut temp_term.exp_states);
}
_ => {
println!("Not expected operation inside Multiply")
}
}
}
Atom(x) => variables.push(x.to_string()),
}
}
// this compiles the vector of expression states for the term
let mut ind = Vec::<usize>::new();
for (i, var) in variables.iter().enumerate() {
for sys_var in sys_states.iter() {
if var == sys_var {
exp_states.push(var.clone());
ind.push(i);
}
}
}
// this removes the expression states from the variable vector
for i in ind.iter().rev() {
variables.remove(*i);
}
// now to dedup variables and exp_states
variables.sort();
variables.dedup();
exp_states.sort();
//exp_states.dedup();
PnTerm {
dyn_state: "temp".to_string(),
exp_states,
polarity,
expression: MathExpressionTree::Cons(Multiply, eq.clone()).to_cmml(),
expression_infix: MathExpressionTree::Cons(Multiply, eq).to_infix_expression(),
parameters: variables,
sub_terms: None,
math_vec: None,
}
}
// When we hit a multiplication inference is needed on if it is a complicated single transition
// or if we need to distribute over the multiplication and thus get multiple terms out. We will collect
// both here for now and leave the inference to the PN construction phase since only then can we infer
pub fn get_terms_mult(sys_states: Vec<String>, eq: Vec<MathExpressionTree>) -> PnTerm {
let mut variables = Vec::<String>::new();
let mut exp_states = Vec::<String>::new();
let mut polarity = true;
let mut terms = Vec::<PnTerm>::new();
let mut arg_terms = Vec::<(i32, PnTerm)>::new();
// determine if we need to distribute or if simply mult we can just make term from
let mut distribution = false;
for arg in eq.iter() {
if let Cons(x1, y1) = arg {
if *x1 != Power && *x1 != Divide && !(*x1 == Subtract && y1.len() == 1) {
distribution = true;
}
}
}
if !distribution {
// simple mult, simple term
get_term_mult(sys_states, eq)
} else {
for (i, arg) in eq.iter().enumerate() {
match &arg {
Cons(x1, ref y1) => match x1 {
Multiply => {
// this actually shouldn't be reachable if mults are flattened properly
let mut temp_term = get_terms_mult(sys_states.clone(), y1.clone());
temp_term.math_vec = Some(arg.clone());
arg_terms.push((i.try_into().unwrap(), temp_term.clone()));
// we now need to parse the term to constuct the large full term
variables.append(&mut temp_term.parameters.clone());
exp_states.append(&mut temp_term.exp_states.clone());
}
Divide => {
let mut temp_term = get_term_div(sys_states.clone(), y1.clone());
temp_term.math_vec = Some(arg.clone());
arg_terms.push((i.try_into().unwrap(), temp_term.clone()));
// we now need to parse the term to constuct the large full term
variables.append(&mut temp_term.parameters.clone());
exp_states.append(&mut temp_term.exp_states.clone());
}
Subtract => {
let temp_terms = get_terms_sub(sys_states.clone(), y1.clone());
// if there is a unary subtraction (single term) we do get a polarity flip
if temp_terms.len() == 1 {
polarity = !polarity;
}
for term in temp_terms.iter() {
arg_terms.push((i.try_into().unwrap(), term.clone()));
// we now need to parse the term to constuct the large full term
variables.append(&mut term.parameters.clone());
exp_states.append(&mut term.exp_states.clone());
}
}
Add => {
let temp_terms = get_terms_add(sys_states.clone(), y1.clone());
for term in temp_terms.iter() {
arg_terms.push((i.try_into().unwrap(), term.clone()));
// we now need to parse the term to constuct the large full term
variables.append(&mut term.parameters.clone());
exp_states.append(&mut term.exp_states.clone());
}
}
Power => {
let mut temp_term = get_term_power(sys_states.clone(), y1.clone());
temp_term.math_vec = Some(arg.clone());
arg_terms.push((i.try_into().unwrap(), temp_term.clone()));
// we now need to parse the term to constuct the large full term
variables.append(&mut temp_term.parameters.clone());
exp_states.append(&mut temp_term.exp_states.clone());
}
_ => {
println!("Error unsupported operation")
}
},
Atom(ref x) => {
variables.push(x.to_string());
// also need to construct a partial term here to handle distribution of just a parameter
let mut is_state = false;
for state in sys_states.iter() {
if x.to_string() == *state {
is_state = true;
}
}
if is_state {
let temp_term = PnTerm {
dyn_state: "temp".to_string(),
exp_states: [x.to_string().clone()].to_vec(),
polarity: true,
expression: "temp".to_string(),
expression_infix: "temp".to_string(),
parameters: Vec::<String>::new(),
sub_terms: None,
math_vec: Some(arg.clone()),
};
arg_terms.push((i.try_into().unwrap(), temp_term.clone()));
} else {
let temp_term = PnTerm {
dyn_state: "temp".to_string(),
exp_states: Vec::<String>::new(),
polarity: true,
expression: "temp".to_string(),
expression_infix: "temp".to_string(),
parameters: [x.to_string().clone()].to_vec(),
sub_terms: None,
math_vec: Some(arg.clone()),
};
arg_terms.push((i.try_into().unwrap(), temp_term.clone()));
}
}
}
}
// now to construct the sub terms vector, this will involve distributing the multiplication and
// filling in the vector itself
let mut lhs_vec = Vec::<PnTerm>::new();
let mut rhs_vec = Vec::<PnTerm>::new();
for arg in arg_terms.iter() {
println!("arg_term: {:?}", arg.clone());
if arg.0 == 0 {
lhs_vec.push(arg.1.clone());
} else {
rhs_vec.push(arg.1.clone());
}
}
for lhs_term in lhs_vec.iter() {
for rhs_term in rhs_vec.iter() {
// construct distributed term
let temp_term = Cons(
Multiply,
[
lhs_term.math_vec.clone().unwrap(),
rhs_term.math_vec.clone().unwrap(),
]
.to_vec(),
);
let flat_temp_term = flatten_mults(temp_term.clone());
let mut arg_vec = Vec::<MathExpressionTree>::new();
if let Cons(Multiply, y) = flat_temp_term {
arg_vec.append(&mut y.clone());
}
let mut sub_term = get_term_mult(sys_states.clone(), arg_vec.clone());
if lhs_term.polarity != rhs_term.polarity {
sub_term.polarity = !sub_term.polarity;
}
terms.push(sub_term.clone());
}
}
// now for cleaning up the big term
// this compiles the vector of expression states for the term
let mut ind = Vec::<usize>::new();
for (i, var) in variables.iter().enumerate() {
for sys_var in sys_states.iter() {
if var == sys_var {
exp_states.push(var.clone());
ind.push(i);
}
}
}
// this removes the expression states from the variable vector
for i in ind.iter().rev() {
variables.remove(*i);
}
// now to dedup variables and exp_states
variables.sort();
variables.dedup();
exp_states.sort();
//exp_states.dedup();
PnTerm {
dyn_state: "temp".to_string(),
exp_states,
polarity,
expression: MathExpressionTree::Cons(Multiply, eq.clone()).to_cmml(),
expression_infix: MathExpressionTree::Cons(Multiply, eq).to_infix_expression(),
parameters: variables,
sub_terms: Some(terms),
math_vec: None,
}
}
}
// this takes in the arguments of a multiply operator and returns the PnTerm for it
// we do expect at most division, subtraction, or addition
pub fn get_term_mult(sys_states: Vec<String>, eq: Vec<MathExpressionTree>) -> PnTerm {
let mut variables = Vec::<String>::new();
let mut exp_states = Vec::<String>::new();
let mut polarity = true;
// this walks the tree and composes a vector of all variable and polarity changes
for obj in eq.iter() {
match obj {
Cons(x, y) => {
match &x {
Subtract => {
if y.len() == 1 {
polarity = false;
variables.push(y[0].to_string());
} else {
for var in y.iter() {
variables.push(var.to_string().clone());
}
}
}
Divide => {
// call mult function to get a partial term
let mut temp_term = get_term_div(sys_states.clone(), y.clone());
// parse term polarity
polarity = temp_term.polarity;
// parse term parameters and expression states
// need to do both to populate both later
variables.append(&mut temp_term.parameters);
variables.append(&mut temp_term.exp_states);
}
Add => {
if y.len() == 1 {
// really should need to support unary addition, but oh well
variables.push(y[0].to_string());
} else {
for var in y.iter() {
variables.push(var.to_string().clone());
}
}
}
Power => {
// call mult function to get a partial term
let mut temp_term = get_term_power(sys_states.clone(), y.clone());
// parse term polarity
polarity = temp_term.polarity;
// parse term parameters and expression states
// need to do both to populate both later
variables.append(&mut temp_term.parameters);
variables.append(&mut temp_term.exp_states);
}
_ => {
println!("Not expected operation inside Multiply")
}
}
}
Atom(x) => variables.push(x.to_string()),
}
}
// this compiles the vector of expression states for the term
let mut ind = Vec::<usize>::new();
for (i, var) in variables.iter().enumerate() {
for sys_var in sys_states.iter() {
if var == sys_var {
exp_states.push(var.clone());
ind.push(i);
}
}
}
// this removes the expression states from the variable vector
for i in ind.iter().rev() {
variables.remove(*i);
}
// now to dedup variables and exp_states
variables.sort();
variables.dedup();
exp_states.sort();
//exp_states.dedup();
PnTerm {
dyn_state: "temp".to_string(),
exp_states,
polarity,
expression: MathExpressionTree::Cons(Multiply, eq.clone()).to_cmml(),
expression_infix: MathExpressionTree::Cons(Multiply, eq).to_infix_expression(),
parameters: variables,
sub_terms: None,
math_vec: None,
}
}
pub fn flatten_mults(mut equation: MathExpressionTree) -> MathExpressionTree {
match equation {
Cons(ref x, ref mut y) => match x {
Multiply => {
match y[1].clone() {
Cons(x1, y1) => match x1 {
Multiply => {
let mut temp1 = flatten_mults(y1[0].clone());
let mut temp2 = flatten_mults(y1[1].clone());
y.remove(1);
if let Cons(Multiply, ref mut y2) = temp1 {
y.append(&mut y2.clone());
} else {
y.append(&mut [temp1].to_vec());
}
if let Cons(Multiply, ref mut y2) = temp2 {
y.append(&mut y2.clone());
} else {
y.append(&mut [temp2].to_vec());
}
}
_ => {
let temp1 = y[1].clone();
y.remove(1);
y.append(&mut [temp1].to_vec())
}
},
Atom(_x1) => {}
}
match y[0].clone() {
Cons(x0, y0) => match x0 {
Multiply => {
let mut temp1 = flatten_mults(y0[0].clone());
let mut temp2 = flatten_mults(y0[1].clone());
y.remove(0);
if let Cons(Multiply, ref mut y2) = temp1 {
y.append(&mut y2.clone());
} else {
y.append(&mut [temp1].to_vec());
}
if let Cons(Multiply, ref mut y2) = temp2 {
y.append(&mut y2.clone());
} else {
y.append(&mut [temp2].to_vec());
}
}
_ => {
let temp1 = y[0].clone();
y.remove(0);
y.append(&mut [temp1].to_vec())
}
},
Atom(_x0) => {}
}
}
_ => {
if y.len() > 1 {
let temp1 = flatten_mults(y[1].clone());
let temp0 = flatten_mults(y[0].clone());
y.remove(1);
y.remove(0);
y.append(&mut [temp0, temp1].to_vec())
} else {
let temp0 = flatten_mults(y[0].clone());
y.remove(0);
y.append(&mut [temp0].to_vec())
}
}
},
Atom(ref _x) => {}
}
equation
}
#[test]
fn test_ci_univariate_func() {
test_parser(
"<mi>S</mi><mo>(</mo><mi>t</mi><mo>)</mo>",
ci_univariate_with_bounds,
Ci::new(
Some(Type::Function),
Box::new(MathExpression::Mi(Mi("S".to_string()))),
Some(vec![Ci::new(
Some(Type::Real),
Box::new(MathExpression::Mi(Mi("t".to_string()))),
None,
None,
)]),
None,
),
);
}
#[test]
fn test_ci_univariate_func2() {
test_parser(
"<mi>S</mi><mo>(</mo><mi>t</mi><mo>)</mo>",
ci_unknown_with_bounds,
Ci::new(
None,
Box::new(MathExpression::Mi(Mi("S".to_string()))),
Some(vec![Ci::new(
Some(Type::Real),
Box::new(MathExpression::Mi(Mi("t".to_string()))),
None,
None,
)]),
None,
),
);
}
#[test]
fn test_first_order_derivative_leibniz_notation_with_implicit_time_dependence() {
test_parser(
"<mfrac>
<mrow><mi>d</mi><mi>S</mi></mrow>
<mrow><mi>d</mi><mi>t</mi></mrow>
</mfrac>",
first_order_derivative_leibniz_notation,
(
Derivative::new(
1,
1,
Ci::new(
Some(Type::Real),
Box::new(MathExpression::Mi(Mi("t".to_string()))),
None,
None,
),
DerivativeNotation::LeibnizTotal,
),
Ci::new(
Some(Type::Function),
Box::new(MathExpression::Mi(Mi("S".to_string()))),
//vec![Mi("".to_string())],
Some(vec![Ci::new(
Some(Type::Real),
Box::new(MathExpression::Mi(Mi("".to_string()))),
None,
None,
)]),
None,
),
),
);
}
#[test]
fn test_first_order_derivative_leibniz_notation_with_explicit_time_dependence() {
test_parser(
"<mfrac>
<mrow><mi>d</mi><mi>S</mi><mo>(</mo><mi>t</mi><mo>)</mo></mrow>
<mrow><mi>d</mi><mi>t</mi></mrow>
</mfrac>",
first_order_derivative_leibniz_notation,
(
Derivative::new(
1,
1,
Ci::new(
Some(Type::Real),
Box::new(MathExpression::Mi(Mi("t".to_string()))),
None,
None,
),
DerivativeNotation::LeibnizTotal,
),
Ci::new(
Some(Type::Function),
Box::new(MathExpression::Mi(Mi("S".to_string()))),
Some(vec![Ci::new(
Some(Type::Real),
Box::new(MathExpression::Mi(Mi("t".to_string()))),
None,
None,
)]),
None,
),
),
);
}
#[test]
fn test_first_order_ode() {
// ASKEM Hackathon 2, scenario 1, equation 1.
let input = "
<math>
<mfrac>
<mrow><mi>d</mi><mi>S</mi><mo>(</mo><mi>t</mi><mo>)</mo></mrow>
<mrow><mi>d</mi><mi>t</mi></mrow>
</mfrac>
<mo>=</mo>
<mo>-</mo>
<mi>β</mi>
<mi>I</mi><mo>(</mo><mi>t</mi><mo>)</mo>
<mfrac><mrow><mi>S</mi><mo>(</mo><mi>t</mi><mo>)</mo></mrow><mi>N</mi></mfrac>
</math>
";
let FirstOrderODE {
lhs_var,
func_of,
with_respect_to,
rhs,
} = input.parse::<FirstOrderODE>().unwrap();
assert_eq!(lhs_var.to_string(), "S");
assert_eq!(func_of[0].to_string(), "t");
assert_eq!(with_respect_to.to_string(), "t");
assert_eq!(rhs.to_string(), "(* (* (- β) I) (/ S N))");
//assert_eq!(rhs.to_string(), "(/ (* (* (- β) I(t)) S(t)) N)");
// ASKEM Hackathon 2, scenario 1, equation 1, but with Newtonian derivative notation.
let input = "
<math>
<mover><mi>S</mi><mo>˙</mo></mover><mo>(</mo><mi>t</mi><mo>)</mo>
<mo>=</mo>
<mo>-</mo>
<mi>β</mi>
<mi>I</mi><mo>(</mo><mi>t</mi><mo>)</mo>
<mfrac><mrow><mi>S</mi><mo>(</mo><mi>t</mi><mo>)</mo></mrow><mi>N</mi></mfrac>
</math>
";
let FirstOrderODE {
lhs_var,
func_of,
with_respect_to,
rhs,
} = input.parse::<FirstOrderODE>().unwrap();
assert_eq!(lhs_var.to_string(), "S");
assert_eq!(func_of[0].to_string(), "");
assert_eq!(with_respect_to.to_string(), "t");
assert_eq!(rhs.to_string(), "(* (* (- β) I) (/ S N))");
}
#[test]
fn test_msub_derivative() {
test_parser("<mfrac><mrow><mi>d</mi><msub><mi>S</mi><mi>v</mi></msub></mrow><mrow><mi>d</mi><mi>t</mi></mrow></mfrac>",
first_order_derivative_leibniz_notation,
(
Derivative::new(
1,
1,
Ci::new(
Some(Type::Real),
Box::new(MathExpression::Mi(Mi("t".to_string()))),
None,
None,
),
DerivativeNotation::LeibnizTotal,
),
Ci::new(
Some(Type::Function),
Box::new(MathExpression::Msub(
Box::new(MathExpression::Mi(Mi("S".to_string()))),
Box::new(MathExpression::Mi(Mi("v".to_string()))),
)),
Some(vec![Ci::new(
Some(Type::Real),
Box::new(MathExpression::Mi(Mi("".to_string()))),
None,
None,
)]),
None,
),
),
);
}