erro/test_space_separated_functions.py at main · FruitfulApproach/erro · GitHub

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"""
Test script to verify that space-separated function applications are handled correctly.
Tests the specific case: k_e a mapped by b should give (b∘k_e)a, not bk_e a
"""
from PyQt6.QtWidgets import QApplication
from PyQt6.QtCore import QPointF
import sys

# Add the project root to Python path
sys.path.insert(0, r'C:\Users\fruit\OneDrive\Desktop\erro')

from core.app import App
from widget.main_window import MainWindow
from widget.object_node import Object
from widget.arrow import Arrow
from widget.diagram_scene import DiagramScene
from PyQt6.QtWidgets import QGraphicsView
from core.proof_step import MapElementProofStep

def test_space_separated_functions():
    """Test that space-separated function applications are handled correctly."""

    app = App(sys.argv)

    # Create scene directly for testing
    scene = DiagramScene()
    view = QGraphicsView(scene)

    print("Testing space-separated function applications:")
    print("=" * 55)

    # Test Case 1: k_e a mapped by b should give (b∘k_e)a
    print("\nTest Case 1: 'k_e a' mapped by 'b'")
    print("-" * 40)

    # Create domain with space-separated function application
    domain1 = Object(text="k_e a:X")
    domain1.setPos(QPointF(100, 100))
    scene.addItem(domain1)

    # Create codomain
    codomain1 = Object(text="Y")
    codomain1.setPos(QPointF(300, 100))
    scene.addItem(codomain1)

    # Arrow b
    arrow1 = Arrow(start_node=domain1, end_node=codomain1, text="b")
    scene.addItem(arrow1)

    print(f"Before mapping:")
    print(f"  Domain: '{domain1.get_display_text()}'")
    print(f"  Codomain: '{codomain1.get_display_text()}'")
    print(f"  Arrow: '{arrow1.get_text()}'")

    # Apply MapElement
    step1 = MapElementProofStep(scene, [], [arrow1])
    step1.apply()

    print(f"After mapping 'k_e a' via 'b':")
    print(f"  Codomain: '{codomain1.get_display_text()}'")
    print(f"  Expected: '(b∘k_e)a:Y'")
    print(f"  Match: {codomain1.get_display_text() == '(b∘k_e)a:Y'}")
    print(f"  NOT bk_e a: {codomain1.get_display_text() != 'bk_e a:Y'}")

    # Test Case 2: Simple space-separated like "f x"
    print("\nTest Case 2: 'f x' mapped by 'g'")
    print("-" * 35)

    # Clear scene
    scene.clear()

    # Create domain with simple space-separated function application
    domain2 = Object(text="f x:Z")
    domain2.setPos(QPointF(100, 200))
    scene.addItem(domain2)

    # Create codomain
    codomain2 = Object(text="W")
    codomain2.setPos(QPointF(300, 200))
    scene.addItem(codomain2)

    # Arrow g
    arrow2 = Arrow(start_node=domain2, end_node=codomain2, text="g")
    scene.addItem(arrow2)

    print(f"Before mapping:")
    print(f"  Domain: '{domain2.get_display_text()}'")
    print(f"  Codomain: '{codomain2.get_display_text()}'")
    print(f"  Arrow: '{arrow2.get_text()}'")

    # Apply MapElement
    step2 = MapElementProofStep(scene, [], [arrow2])
    step2.apply()

    print(f"After mapping 'f x' via 'g':")
    print(f"  Codomain: '{codomain2.get_display_text()}'")
    print(f"  Expected: '(g∘f)x:W'")
    print(f"  Match: {codomain2.get_display_text() == '(g∘f)x:W'}")

    # Test Case 3: Multi-character function with underscore
    print("\nTest Case 3: 'π_1 t' mapped by 'h'")
    print("-" * 40)

    # Clear scene
    scene.clear()

    # Create domain with projection function
    domain3 = Object(text="π_1 t:U")
    domain3.setPos(QPointF(100, 300))
    scene.addItem(domain3)

    # Create codomain
    codomain3 = Object(text="V")
    codomain3.setPos(QPointF(300, 300))
    scene.addItem(codomain3)

    # Arrow h
    arrow3 = Arrow(start_node=domain3, end_node=codomain3, text="h")
    scene.addItem(arrow3)

    print(f"Before mapping:")
    print(f"  Domain: '{domain3.get_display_text()}'")
    print(f"  Codomain: '{codomain3.get_display_text()}'")
    print(f"  Arrow: '{arrow3.get_text()}'")

    # Apply MapElement
    step3 = MapElementProofStep(scene, [], [arrow3])
    step3.apply()

    print(f"After mapping 'π_1 t' via 'h':")
    print(f"  Codomain: '{codomain3.get_display_text()}'")
    print(f"  Expected: '(h∘π_1)t:V'")
    print(f"  Match: {codomain3.get_display_text() == '(h∘π_1)t:V'}")

    print("\n" + "=" * 55)
    print("Test completed!")
    print("Space-separated function applications are now handled correctly.")
    print("Format: 'func elem' mapped by 'g' → '(g∘func)elem'")

    # Don't show the main window for this test
    app.quit()

if __name__ == "__main__":
    test_space_separated_functions()