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void computeGradients(const Vector3& pa, const Vector3& pb, const Vector3& pc, const Vector3& pd,
                      Vector3& grad_pa, Vector3& grad_pb, Vector3& grad_pc, Vector3& grad_pd) {
    // Step 1: Compute edge vectors using operator-
    Vector3 eca = pc - pa;
    Vector3 eda = pd - pa;
    Vector3 edb = pd - pb;
    Vector3 ecb = pc - pb;
    Vector3 pd_pc = pd - pc;
    double L = pd_pc.Norm();
    Vector3 ecd = (L < 1e-8) ? Vector3(0.0, 0.0, 0.0) : (pd_pc * (1.0 / L));

Orbots

#include <iostream>
#include <cmath>
#include "Vector3.h"  // Assumes Vector3 class with standard operations

// Function to compute gradients of kappa with respect to pa, pb, pc, pd
void computeGradients(const Vector3& pa, const Vector3& pb, const Vector3& pc, const Vector3& pd,
                      Vector3& grad_pa, Vector3& grad_pb, Vector3& grad_pc, Vector3& grad_pd) {
    // Step 1: Compute edge vectors
    Vector3 eca = pc - pa;        // pc - pa
    Vector3 eda = pd - pa;        // pd - pa

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# Geometric Algebra G(3) Library in Julia

# Types
struct G3Empty end

struct G3Vector{T<:Number}
    e1::T
    e2::T
    e3::T
end

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#include <iostream>

// Assume Vector3 is a simple 3D vector class with basic operations
struct Vector3 {
    float x, y, z;
    Vector3(float x_ = 0, float y_ = 0, float z_ = 0) : x(x_), y(y_), z(z_) {}
    
    Vector3 operator+(const Vector3& v) const { return Vector3(x + v.x, y + v.y, z + v.z); }
    Vector3 operator-(const Vector3& v) const { return Vector3(x - v.x, y - v.y, z - v.z); }
    Vector3 operator*(float s) const { return Vector3(x * s, y * s, z * s); }

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// Example: 
// ga_versor q = normalize(add(1.0, (ga_bivector){ .e12 = 1.0 }));
// see tests at end of file for more

#pragma once

#include <stdarg.h>
#include <complex.h>
#include <math.h>

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module TypedPools

  export
  Handle,
  TypedPool,
  StructPool,
  MutableStructPool,
  alloc!,
  alloc_args!,
  alloc_inplace!,

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execute pathogen#infect()
set ignorecase
set smartcase
set hlsearch
set wildmenu
set showcmd
set nocompatible
syntax on
filetype plugin indent on
set shiftwidth=2

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;; Develop your clojurescript program here
(ns metacirc.evaluator (:require [cljs.reader :as reader]))

;; TODO:
;; globals: "let", "do"
;; javascript interop
;; var args or at least get more than 4 for list
;; {} [] #{} '()

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;; TODO:  deletion.  warning when adding group to existing name.  is this implemenation of groups a good thing?
(ns forces.framework.component
  )


(def !nextEntityGUID (atom 1))
(def !names (atom {}))
(def !nameReverseLookup (atom {})) ;; name to guid map