More progress towards reciprocal allocation algorithm

This commit is contained in:
piv
2022-06-20 12:22:07 +09:30
parent 08433d6ea6
commit 28e3c87b98
3 changed files with 75 additions and 28 deletions

View File

@@ -1,8 +1,8 @@
extern crate nalgebra as na;
use core::slice;
use itertools::Itertools;
use na::{DMatrix, Dynamic, LU};
use std::{collections::HashMap, ops::Mul, error::Error};
use std::{collections::HashMap, error::Error, ops::Mul};
// TODO: Look into serde for serialisation, can also use it to serialise/deserialise
// records from a csv file using the csv crate
@@ -117,15 +117,22 @@ pub fn move_money_2(
running_total
}
#[derive(Debug, PartialEq, Eq)]
pub enum DepartmentType {
Operating,
Overhead,
}
// TODO: Could also look at BigDecimal rather than f64 for higher precision (even i64 might be fine if we don't need to divide...)
// Note: remember these are overhead departments only when calculating the lu decomposition or pseudoinverse, and for each department,
// you either need -1 or rest negative for a row to subtract the initial amounts so we end up effectively 0 (simultaneous equations end
// up with negative there so yes this is expected)
// Also, we could potentially use this same struct for non-overhead departments when mapping from overhead to
pub struct OverheadAllocationRule {
from_department: String,
from_overhead_department: String,
to_department: String,
percent: f64,
to_department_type: DepartmentType,
}
pub struct TotalDepartmentCost {
@@ -155,6 +162,24 @@ impl ReciprocalAllocationSolver for DMatrix<f64> {
}
}
fn get_rules_indexes(
allocations: &Vec<OverheadAllocationRule>,
department_type: DepartmentType,
) -> HashMap<String, usize> {
allocations
.iter()
.filter(|allocation| allocation.to_department_type == department_type)
.flat_map(|department| {
[
department.from_overhead_department.clone(),
department.to_department.clone(),
]
})
.unique()
.enumerate()
.map(|(index, department)| (department, index))
.collect()
}
// Perform the reciprocal allocation (matrix) method to allocate servicing departments (indirect) costs
// to functional departments. Basically just a matrix solve, uses regression (moore-penrose pseudoinverse) when
@@ -164,23 +189,35 @@ pub fn reciprocal_allocation(
account_costs: Vec<AccountCost>,
// TODO: Throw an appropriate error
) -> Result<Vec<AccountCost>, Box<dyn Error>> {
// TODO: Need to split up the rules so that we only pass overhead departments into the getreciprocal matrix method,
// and
let mut department_mappings: HashMap<String, usize> = HashMap::new();
for allocation in allocations.iter() {
let map_size = department_mappings.len();
department_mappings
.entry(allocation.from_department.clone())
.or_insert(map_size);
let map_size = department_mappings.len();
department_mappings
.entry(allocation.to_department.clone())
.or_insert(map_size);
let overhead_department_mappings: HashMap<String, usize> =
get_rules_indexes(&allocations, DepartmentType::Overhead);
let operating_department_mappings: HashMap<String, usize> =
get_rules_indexes(&allocations, DepartmentType::Operating);
let mut slice_allocations =
vec![0.; overhead_department_mappings.len() * overhead_department_mappings.len()];
for allocation in allocations
.iter()
.filter(|allocation| allocation.to_department_type == DepartmentType::Overhead)
{
// TODO: Check if we need to flp this around
let from_index = overhead_department_mappings
.get(&allocation.from_overhead_department)
.unwrap();
let to_index = operating_department_mappings
.get(&allocation.to_department)
.unwrap();
let elem = &mut slice_allocations
[(*from_index) + (overhead_department_mappings.len() * (*to_index))];
*elem = allocation.percent;
}
// TODO: Also need ones along the diagonal, and negatives in some places...
let mat: DMatrix<f64> = DMatrix::from_row_slice(
department_mappings.len(),
department_mappings.len(),
overhead_department_mappings.len(),
overhead_department_mappings.len(),
&slice_allocations,
);
@@ -189,14 +226,14 @@ pub fn reciprocal_allocation(
do_solve_reciprocal(
pseudo_inverse.unwrap(),
account_costs,
department_mappings,
overhead_department_mappings,
allocations,
)
} else {
do_solve_reciprocal(
mat.lu(),
account_costs,
department_mappings,
overhead_department_mappings,
allocations,
)
}
@@ -210,14 +247,7 @@ fn do_solve_reciprocal<T: ReciprocalAllocationSolver>(
) -> Result<Vec<AccountCost>, Box<dyn Error>> {
// TODO: Could batch the accounts, although probably won't see to big a speed increase, compiler should help us out
for total_costs in account_costs {
let mut slice_allocations = vec![0.; department_mappings.len()];
let mut slice_costs = vec![0.; department_mappings.len()];
for allocation in allocations {
let elem = &mut slice_allocations[*department_mappings
.get(&allocation.from_department)
.unwrap()];
*elem = allocation.percent;
}
for cost in total_costs.summed_department_costs {
let elem = &mut slice_costs[*department_mappings.get(&cost.department).unwrap()];
@@ -233,7 +263,6 @@ fn do_solve_reciprocal<T: ReciprocalAllocationSolver>(
// Where operating_overhead_usage is the direct mapping from overhead -> operating department, calculated overheads is the
// solved overheads usages after taking into account usage between departments, and initial_totals is the initial values
// for the operating departments.
}
// TODO: return something appropriate
Ok(vec![])