space WaveSurface {
properties {
continuous: Topology<Boolean> = true
periodic: Topology<Boolean> = true
differentiable: Topology<Boolean> = true
dimension: Topology<Number> = 3
}
shape WaveParameters {
properties {
amplitude: Number
frequency: Number
phase: Number
}
invariants {
amplitude_positive: Boolean = true
frequency_positive: Boolean = true
phase_bounded: Boolean = true
}
}
shape WaveField {
properties {
time: Number
wave_params: Collection<WaveParameters>
domain: Topology<Region>
boundary_conditions: Collection<Constraint>
}
invariants {
field_continuous: Boolean = true
boundary_satisfied: Boolean = true
}
mapping evolve() {
properties {
continuous: Boolean = true
time_dependent: Boolean = true
reversible: Boolean = true
}
path {
validate_parameters ->
update_time_parameter ->
compute_wave_function ->
apply_boundary_conditions ->
verify_continuity
}
}
mapping compute_height(x: Number, y: Number) {
properties {
continuous: Boolean = true
smooth: Boolean = true
deterministic: Boolean = true
}
path {
validate_coordinates ->
normalize_coordinates ->
sum_wave_components ->
apply_amplitude_modulation ->
verify_bounds ->
return_surface_point
}
}
mapping verify_constraints() {
properties {
checking: Boolean = true
}
path {
check_continuity ->
verify_boundary_conditions ->
validate_parameters ->
report_status
}
}
}
shape VisualSurface {
properties {
resolution: Number
gradient: Collection<Color>
glow_effect: Boolean
mesh_quality: Number
}
invariants {
resolution_positive: Boolean = true
gradient_valid: Boolean = true
}
mapping render() {
properties {
visual: Boolean = true
continuous: Boolean = true
topology_preserving: Boolean = true
}
path {
validate_parameters ->
generate_mesh ->
apply_height_field ->
compute_lighting ->
apply_visual_effects ->
verify_render_quality ->
output_surface
}
}
mapping update_animation() {
properties {
periodic: Boolean = true
smooth: Boolean = true
}
path {
compute_time_step ->
advance_time ->
recompute_surface ->
update_visualization ->
maintain_smoothness ->
verify_frame_consistency
}
}
mapping cleanup() {
properties {
resource_safe: Boolean = true
}
path {
release_resources ->
verify_cleanup
}
}
}
mapping integrate() {
properties {
continuous: Boolean = true
resource_managed: Boolean = true
}
path {
initialize_wave_field ->
validate_wave_parameters ->
setup_visual_surface ->
connect_evolution ->
verify_integration ->
start_animation_loop
}
}
shape ErrorHandler {
properties {
error_type: Collection<ErrorType>
recovery_strategy: Collection<Strategy>
}
mapping handle_error() {
properties {
safe: Boolean = true
}
path {
detect_error ->
classify_error ->
apply_recovery_strategy ->
verify_system_state ->
log_error_status
}
}
}
}