# Copyright 2026 Paul Griffioen
#
# Permission is hereby granted, free of charge, to any person obtaining a copy
# of this software and associated documentation files (the "Software"), to deal
# in the Software without restriction, including without limitation the rights
# to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
# copies of the Software, and to permit persons to whom the Software is
# furnished to do so, subject to the following conditions:
#
# The above copyright notice and this permission notice shall be included in
# all copies or substantial portions of the Software.
#
# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
# IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
# FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
# AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
# LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
# OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
# SOFTWARE.


import si;

# ----------------------------------------------------------------------------
# Units
# ----------------------------------------------------------------------------

defunit crate "crt" = 0.025 * metre^3;

defunit pie "pie" = 1;

defunit piece "pc" = 1;

# ----------------------------------------------------------------------------
# Setup
# ----------------------------------------------------------------------------

defindex Product = {
    Butter, 
    Flour,
    Pastry,
    Apples,
    Sugar,
    ApplePie,
    PieceOfPie,
    CrateOfApples
};

defunit Product!unit = {
    ApplePie: pie,
    PieceOfPie: piece,
    Butter: gram,
    Flour: gram, 
    Pastry: kilo:gram, 
    Apples: gram,
    CrateOfApples: crate,
    Sugar: gram
};

defunit Product!trade_unit = {
    ApplePie: pie,
    PieceOfPie: piece,
    Butter: kilo:gram,
    Flour: kilo:gram, 
    Pastry: kilo:gram, 
    Apples: kilo:gram,
    CrateOfApples: crate,
    Sugar: kilo:gram
};

defconv conv ::
    Product!unit per Product!trade_unit;

# ----------------------------------------------------------------------------
# Input
# ----------------------------------------------------------------------------

defmatrix price :: dollar/Product!trade_unit = {
    CrateOfApples -> 100,
    Flour ->  0.80,
    Butter -> 2.00,
    Sugar -> 0.50
};

defmatrix BoM :: Product!unit per Product!unit = {
    CrateOfApples, Apples ->      0.00005,
    Butter, Pastry ->           360.0,
    Flour, Pastry ->            550.0,
    Pastry, ApplePie ->           0.4,
    Apples, ApplePie ->         750.0,
    Sugar, ApplePie ->          225.0,
    Butter, ApplePie ->         115.0,
    ApplePie, PieceOfPie ->       0.125
};

# ----------------------------------------------------------------------------
# Computations
# ----------------------------------------------------------------------------

declare BoM_closure ::
    Product!unit per Product!unit;

define BoM_closure =
    closure(BoM);

declare trade_BoM ::
    Product!trade_unit per Product!trade_unit;

define trade_BoM =
    conv^D '*' BoM '*' conv;

declare product_cost ::
    dollar/Product!trade_unit;

define product_cost =
    closure(trade_BoM)^T '*' price;

define ingredient_breakdown =
    closure(trade_BoM) '*' (delta(Product@PieceOfPie) * |Product!trade_unit|);

define cost_breakdown = 
    ingredient_breakdown * price;

define cost_breakdown_in_percentages = 
    to_percentage(cost_breakdown '/.' total(cost_breakdown));

# ----------------------------------------------------------------------------

set_precision(5*|decimals|);

printf("\nConversion matrix is%.5f", conv);

printf("\nBill of material in ingredient units is%.3f", BoM);

printf("\nBill of material in trade units is%.3f", trade_BoM);

printf("\nClosure of trade BoM is%.3f", closure(trade_BoM));

printf("\nProduct cost is%.2f", product_cost);

printf("\nIngredient breakdown for one piece of pie is%.5f", ingredient_breakdown);

printf("\nCost breakdown for one piece of pie is%.5f", cost_breakdown);

printf("\nCost breakdown for one piece of pie in percentages is%.1f", cost_breakdown_in_percentages);