phino-0.0.158: test-resources/evaluate-packs/joins-two-sides-that-differ-only-in-symbols.yaml
# SPDX-FileCopyrightText: Copyright (c) 2025 Objectionary.com
# SPDX-License-Identifier: MIT
---
# yamllint disable rule:line-length
# A join brings both of its sides to a normal form through 𝕄 first (#1954).
# Each side here is a call of 'plus' over the answer of another 'plus', which
# 𝕄 fires: 𝜎2 on the left, 𝜎3 on the right, and nothing else tells the two
# sides apart. So the join mints 𝜎4, writes that 𝜎4 is 𝜎2 when the condition
# holds and 𝜎3 when it does not, and answers the joined call, whose ρ holds
# 𝜎4; the last 'plus' reads 𝜎4.
symbolic: |
- λ: L_number_gt
dataize:
𝛿1: $.ρ
𝛿2: $.x
𝑛: Φ.bool( φ ↦ ⟦ λ ⤍ 𝜎 ⟧ )
- λ: L_number_plus
dataize:
𝛿1: $.ρ
𝛿2: $.x
𝑛: Φ.number( φ ↦ ⟦ λ ⤍ 𝜎 ⟧ )
- λ: L_fork
dataize:
𝛿1: $.ρ
join:
on: 𝛿1
left: $.then
right: $.else
location: 'Q.@'
input: >
⟦ bytes(φ) ↦ ⟦⟧,
bool(φ) ↦ ⟦ if ↦ ⟦ ρ ↦ ∅, then ↦ ∅, else ↦ ∅, λ ⤍ L_fork ⟧ ⟧,
number(φ) ↦ ⟦
gt(ρ, x) ↦ ⟦ λ ⤍ L_number_gt ⟧,
plus(ρ, x) ↦ ⟦ λ ⤍ L_number_plus ⟧ ⟧,
φ ↦ 5.gt( 0 ).if( 1.plus( 2 ).plus( 0 ), 3.plus( 4 ).plus( 0 ) ).φ ⟧
result: '𝜎5:λ'
protocol: |
𝕄(Φ.φ):
𝑛·0·1 := 5.0
𝑛·0·2 := 𝑛·0·1.gt( x ↦ 0.0 )
𝔼(L_number_gt):
𝔻(ξ.ρ):
𝕄(ξ.ρ):
𝑛·1·1 := 5.0
morphed 𝑛·1·2 := 𝑛·1·1
boxed 𝑛·1·3 := 𝑛·1·2.φ
𝕄(𝑛·1·3):
𝑛·1·4 := Φ.bytes( φ ↦ 40-14-00-00-00-00-00-00:Δ )
morphed 𝑛·1·5 := 𝑛·1·4
boxed 𝑛·1·6 := 𝑛·1·5.φ
𝛿·1·1 := 40-14-00-00-00-00-00-00 # 5.0
𝛿1·1 := 𝛿·1·1 # 𝔻(ξ.ρ)
𝔻(ξ.x):
𝕄(ξ.x):
𝑛·1·7 := 0.0
morphed 𝑛·1·8 := 𝑛·1·7
boxed 𝑛·1·9 := 𝑛·1·8.φ
𝕄(𝑛·1·9):
𝑛·1·10 := Φ.bytes( φ ↦ 00-00-00-00-00-00-00-00:Δ )
morphed 𝑛·1·11 := 𝑛·1·10
boxed 𝑛·1·12 := 𝑛·1·11.φ
𝛿·1·2 := 00-00-00-00-00-00-00-00 # 0.0
𝛿2·1 := 𝛿·1·2 # 𝔻(ξ.x)
𝑛·1·13 := Φ.bool( φ ↦ 𝜎1:λ ) # 𝑛
𝕄(𝑛·1·13):
𝑛·1·14 := Φ.bool( φ ↦ 𝜎1:λ )
morphed 𝑛·1·15 := 𝑛·1·14
𝑛·1·16 := 𝑛·1·15 # 𝕄(𝑛·1·13)
𝑛·0·3 := 𝑛·1·14.if( then ↦ 1.0.plus( 2.0 ).plus( 𝑛·1·7 ) )
𝑛·0·4 := 𝑛·0·3( else ↦ 3.0.plus( 4.0 ).plus( 𝑛·1·7 ) )
𝔼(L_fork):
𝔻(ξ.ρ):
𝕄(ξ.ρ):
𝑛·2·1 := Φ.bool( φ ↦ 𝜎1:λ )
morphed 𝑛·2·2 := 𝑛·1·16
boxed 𝑛·2·3 := 𝑛·2·2.φ
𝛿·2·1 := 𝔻(𝜎1:λ)
𝛿1·2 := 𝛿·2·1 # 𝔻(ξ.ρ)
𝕄(ξ.then):
𝑛·2·4 := 1.0
𝑛·2·5 := 𝑛·2·4.plus( x ↦ 2.0 )
𝔼(L_number_plus):
𝔻(ξ.ρ):
𝕄(ξ.ρ):
𝑛·3·1 := 1.0
morphed 𝑛·3·2 := 𝑛·3·1
boxed 𝑛·3·3 := 𝑛·3·2.φ
𝕄(𝑛·3·3):
𝑛·3·4 := Φ.bytes( φ ↦ 3F-F0-00-00-00-00-00-00:Δ )
morphed 𝑛·3·5 := 𝑛·3·4
boxed 𝑛·3·6 := 𝑛·3·5.φ
𝛿·3·1 := 3F-F0-00-00-00-00-00-00 # 1.0
𝛿1·3 := 𝛿·3·1 # 𝔻(ξ.ρ)
𝔻(ξ.x):
𝕄(ξ.x):
𝑛·3·7 := 2.0
morphed 𝑛·3·8 := 𝑛·3·7
boxed 𝑛·3·9 := 𝑛·3·8.φ
𝕄(𝑛·3·9):
𝑛·3·10 := Φ.bytes( φ ↦ 40-00-00-00-00-00-00-00:Δ )
morphed 𝑛·3·11 := 𝑛·3·10
boxed 𝑛·3·12 := 𝑛·3·11.φ
𝛿·3·2 := 40-00-00-00-00-00-00-00 # 2.0
𝛿2·3 := 𝛿·3·2 # 𝔻(ξ.x)
𝑛·3·13 := Φ.number( φ ↦ 𝜎2:λ ) # 𝑛
𝕄(𝑛·3·13):
𝑛·3·14 := Φ.number( φ ↦ 𝜎2:λ )
morphed 𝑛·3·15 := 𝑛·3·14
𝑛·3·16 := 𝑛·3·15 # 𝕄(𝑛·3·13)
𝑛·2·6 := 𝑛·3·14.plus( x ↦ 𝑛·1·7 )
morphed 𝑛·2·7 := 𝑛·2·6
𝕄(ξ.else):
𝑛·2·8 := 3.0
𝑛·2·9 := 𝑛·2·8.plus( x ↦ 4.0 )
𝔼(L_number_plus):
𝔻(ξ.ρ):
𝕄(ξ.ρ):
𝑛·4·1 := 3.0
morphed 𝑛·4·2 := 𝑛·4·1
boxed 𝑛·4·3 := 𝑛·4·2.φ
𝕄(𝑛·4·3):
𝑛·4·4 := Φ.bytes( φ ↦ 40-08-00-00-00-00-00-00:Δ )
morphed 𝑛·4·5 := 𝑛·4·4
boxed 𝑛·4·6 := 𝑛·4·5.φ
𝛿·4·1 := 40-08-00-00-00-00-00-00 # 3.0
𝛿1·4 := 𝛿·4·1 # 𝔻(ξ.ρ)
𝔻(ξ.x):
𝕄(ξ.x):
𝑛·4·7 := 4.0
morphed 𝑛·4·8 := 𝑛·4·7
boxed 𝑛·4·9 := 𝑛·4·8.φ
𝕄(𝑛·4·9):
𝑛·4·10 := Φ.bytes( φ ↦ 40-10-00-00-00-00-00-00:Δ )
morphed 𝑛·4·11 := 𝑛·4·10
boxed 𝑛·4·12 := 𝑛·4·11.φ
𝛿·4·2 := 40-10-00-00-00-00-00-00 # 4.0
𝛿2·4 := 𝛿·4·2 # 𝔻(ξ.x)
𝑛·4·13 := Φ.number( φ ↦ 𝜎3:λ ) # 𝑛
𝕄(𝑛·4·13):
𝑛·4·14 := Φ.number( φ ↦ 𝜎3:λ )
morphed 𝑛·4·15 := 𝑛·4·14
𝑛·4·16 := 𝑛·4·15 # 𝕄(𝑛·4·13)
𝑛·2·10 := 𝑛·4·14.plus( x ↦ 𝑛·1·7 )
morphed 𝑛·2·11 := 𝑛·2·10
joined 𝜎4 := 𝛿1·2 ? 𝜎2 : 𝜎3
𝑛·2·12 := ⟦ x ↦ 𝑛·1·7, λ ⤍ L_number_plus ⟧ # 𝕄(ξ.then), 𝕄(ξ.else)
𝔼(L_number_plus):
𝔻(ξ.ρ):
𝕄(ξ.ρ):
𝑛·5·1 := Φ.number( φ ↦ 𝜎4:λ )
morphed 𝑛·5·2 := 𝑛·5·1
boxed 𝑛·5·3 := 𝑛·5·2.φ
𝛿·5·1 := 𝔻(𝜎4:λ)
𝛿1·5 := 𝛿·5·1 # 𝔻(ξ.ρ)
𝔻(ξ.x):
𝕄(ξ.x):
𝑛·5·4 := Φ.number( φ ↦ 𝑛·1·10 )
morphed 𝑛·5·5 := 𝑛·5·4
boxed 𝑛·5·6 := 𝑛·5·5.φ
𝕄(𝑛·5·6):
𝑛·5·7 := Φ.bytes( φ ↦ 00-00-00-00-00-00-00-00:Δ )
morphed 𝑛·5·8 := 𝑛·5·7
boxed 𝑛·5·9 := 𝑛·5·8.φ
𝛿·5·2 := 00-00-00-00-00-00-00-00 # 0.0
𝛿2·5 := 𝛿·5·2 # 𝔻(ξ.x)
𝑛·5·10 := Φ.number( φ ↦ 𝜎5:λ ) # 𝑛
𝕄(𝑛·5·10):
𝑛·5·11 := Φ.number( φ ↦ 𝜎5:λ )
morphed 𝑛·5·12 := 𝑛·5·11
𝑛·5·13 := 𝑛·5·12 # 𝕄(𝑛·5·10)
morphed 𝑛·0·5 := 𝜎5:λ