static Value* vecCompOp(const Vector* vector1, const Vector* vector2, const Context* ctx, BINTYPE bin) {
unsigned count = vector1->vals->count;
if(count != vector2->vals->count && vector2->vals->count > 1) {
return ValErr(mathError("Cannot %s vectors of different sizes.", binop_verb[bin]));
}
ArgList* newv = ArgList_new(count);
unsigned i;
for(i = 0; i < count; i++) {
/* Perform the specified operation on each matching component */
Value* val2;
if(vector2->vals->count == 1) {
val2 = vector2->vals->args[0];
}
else {
val2 = vector2->vals->args[i];
}
BinOp* op = BinOp_new(bin, Value_copy(vector1->vals->args[i]), Value_copy(val2));
Value* result = BinOp_eval(op, ctx);
BinOp_free(op);
/* Error checking */
if(result->type == VAL_ERR) {
ArgList_free(newv);
return result;
}
/* Store result */
newv->args[i] = result;
}
return ValVec(Vector_new(newv));
}
static Value* eval_dot(Context* ctx, ArgList* arglist) {
if(arglist->count != 2) {
/* Two vectors are required for a dot product */
return ValErr(builtinArgs("dot", 2, arglist->count));
}
Value* vector1 = Value_eval(arglist->args[0], ctx);
if(vector1->type == VAL_ERR) {
return vector1;
}
Value* vector2 = Value_eval(arglist->args[1], ctx);
if(vector2->type == VAL_ERR) {
Value_free(vector1);
return vector2;
}
if(vector1->type != VAL_VEC || vector2->type != VAL_VEC) {
/* Both values must be vectors */
return ValErr(typeError("Builtin dot expects two vectors."));
}
unsigned count = vector1->vec->vals->count;
if(count != vector2->vec->vals->count) {
/* Both vectors must have the same number of values */
return ValErr(mathError("Vectors must have the same dimensions for dot product."));
}
Value* total = ValInt(0); // store the total value of the dot product
unsigned i;
for(i = 0; i < count; i++) {
/* Multiply v1[i] and v2[i] */
BinOp* mul = BinOp_new(BIN_MUL, Value_copy(vector1->vec->vals->args[i]), Value_copy(vector2->vec->vals->args[i]));
Value* part = BinOp_eval(mul, ctx);
BinOp_free(mul);
/* Accumulate the sum for all products */
BinOp* add = BinOp_new(BIN_ADD, part, total);
total = BinOp_eval(add, ctx);
BinOp_free(add);
}
return total;
}
static Value* vecMagOp(const Vector* vec, const Value* scalar, const Context* ctx, BINTYPE bin) {
/* Calculate old magnitude */
Value* mag = Vector_magnitude(vec, ctx);
/* Calculate new magnitude */
BinOp* magOp = BinOp_new(bin, Value_copy(mag), Value_copy(scalar));
Value* newMag = BinOp_eval(magOp, ctx);
BinOp_free(magOp);
/* Calculate scalar factor */
BinOp* newDivOld = BinOp_new(BIN_DIV, newMag, mag);
Value* scalFact = BinOp_eval(newDivOld, ctx);
BinOp_free(newDivOld);
/* Both newMag and mag are freed with newDivOld */
/* Calculate new vector */
return vecScalarOp(vec, scalFact, ctx, BIN_MUL);
}
Value* Value_eval(const Value* val, const Context* ctx) {
if(val == NULL) return ValErr(nullError());
Value* ret;
Variable* var;
switch(val->type) {
/* These can be evaluated to a simpler form */
case VAL_EXPR:
ret = BinOp_eval(val->expr, ctx);
break;
case VAL_UNARY:
ret = UnOp_eval(val->term, ctx);
break;
case VAL_CALL:
ret = FuncCall_eval(val->call, ctx);
break;
case VAL_FRAC:
ret = Value_copy(val);
Fraction_reduce(ret);
break;
case VAL_VAR:
var = Variable_get(ctx, val->name);
if(var) {
ret = Variable_eval(var, ctx);
}
else {
ret = ValErr(varNotFound(val->name));
}
break;
case VAL_VEC:
ret = Vector_eval(val->vec, ctx);
break;
/* These can't be simplified, so just copy them */
case VAL_INT:
case VAL_REAL:
case VAL_NEG:
case VAL_ERR:
ret = Value_copy(val);
break;
default:
/* Shouldn't be reached */
badValType(val->type);
}
return ret;
}
static Value* vecScalarOp(const Vector* vec, const Value* scalar, const Context* ctx, BINTYPE bin) {
ArgList* newv = ArgList_new(vec->vals->count);
unsigned i;
for(i = 0; i < vec->vals->count; i++) {
/* Perform operation */
BinOp* op = BinOp_new(bin, Value_copy(vec->vals->args[i]), Value_copy(scalar));
Value* result = BinOp_eval(op, ctx);
BinOp_free(op);
/* Error checking */
if(result->type == VAL_ERR) {
ArgList_free(newv);
return result;
}
/* Store result */
newv->args[i] = result;
}
return ValVec(Vector_new(newv));
}
static Value* eval_cross(Context* ctx, ArgList* arglist) {
if(arglist->count != 2) {
/* Two vectors are required for a cross product */
return ValErr(builtinArgs("cross", 2, arglist->count));
}
Value* vector1 = Value_eval(arglist->args[0], ctx);
if(vector1->type == VAL_ERR) {
return vector1;
}
Value* vector2 = Value_eval(arglist->args[1], ctx);
if(vector2->type == VAL_ERR) {
Value_free(vector1);
return vector2;
}
if(vector1->type != VAL_VEC || vector2->type != VAL_VEC) {
/* Both values must be vectors */
return ValErr(typeError("Builtin dot expects two vectors."));
}
if(vector1->vec->vals->count != 3) {
/* Vectors must each have a size of 3 */
return ValErr(mathError("Vectors must each have a size of 3 for cross product."));
}
/* First cross multiplication */
BinOp* i_pos_op = BinOp_new(BIN_MUL, Value_copy(vector1->vec->vals->args[1]), Value_copy(vector2->vec->vals->args[2]));
BinOp* i_neg_op = BinOp_new(BIN_MUL, Value_copy(vector1->vec->vals->args[2]), Value_copy(vector2->vec->vals->args[1]));
/* Evaluate multiplications */
Value* i_pos = BinOp_eval(i_pos_op, ctx);
Value* i_neg = BinOp_eval(i_neg_op, ctx);
BinOp_free(i_pos_op);
BinOp_free(i_neg_op);
/* Error checking */
if(i_pos->type == VAL_ERR) {
Value_free(vector1);
Value_free(vector2);
Value_free(i_neg);
return i_pos;
}
if(i_neg->type == VAL_ERR) {
Value_free(vector1);
Value_free(vector2);
Value_free(i_pos);
return i_neg;
}
/* Subtract products */
BinOp* i_op = BinOp_new(BIN_SUB, i_pos, i_neg);
Value* i_val = BinOp_eval(i_op, ctx);
BinOp_free(i_op);
if(i_val->type == VAL_ERR) {
Value_free(vector1);
Value_free(vector2);
return i_val;
}
/* Part 2 */
BinOp* j_pos_op = BinOp_new(BIN_MUL, Value_copy(vector1->vec->vals->args[0]), Value_copy(vector2->vec->vals->args[2]));
BinOp* j_neg_op = BinOp_new(BIN_MUL, Value_copy(vector1->vec->vals->args[2]), Value_copy(vector2->vec->vals->args[0]));
Value* j_pos = BinOp_eval(j_pos_op, ctx);
Value* j_neg = BinOp_eval(j_neg_op, ctx);
BinOp_free(j_pos_op);
BinOp_free(j_neg_op);
if(j_pos->type == VAL_ERR) {
Value_free(vector1);
Value_free(vector2);
Value_free(j_neg);
return j_pos;
}
if(j_neg->type == VAL_ERR) {
Value_free(vector1);
Value_free(vector2);
Value_free(j_pos);
return j_neg;
}
BinOp* j_op = BinOp_new(BIN_SUB, j_pos, j_neg);
Value* j_val = BinOp_eval(j_op, ctx);
BinOp_free(j_op);
if(j_val->type == VAL_ERR) {
Value_free(vector1);
Value_free(vector2);
return j_val;
}
/* Part 3 */
BinOp* k_pos_op = BinOp_new(BIN_MUL, Value_copy(vector1->vec->vals->args[0]), Value_copy(vector2->vec->vals->args[1]));
BinOp* k_neg_op = BinOp_new(BIN_MUL, Value_copy(vector1->vec->vals->args[1]), Value_copy(vector2->vec->vals->args[0]));
Value* k_pos = BinOp_eval(k_pos_op, ctx);
Value* k_neg = BinOp_eval(k_neg_op, ctx);
BinOp_free(k_pos_op);
BinOp_free(k_neg_op);
if(k_pos->type == VAL_ERR) {
Value_free(vector1);
Value_free(vector2);
Value_free(k_neg);
return k_pos;
}
if(k_neg->type == VAL_ERR) {
Value_free(vector1);
Value_free(vector2);
Value_free(k_pos);
return k_neg;
}
BinOp* k_op = BinOp_new(BIN_SUB, k_pos, k_neg);
Value* k_val = BinOp_eval(k_op, ctx);
BinOp_free(k_op);
if(k_val->type == VAL_ERR) {
Value_free(vector1);
Value_free(vector2);
return k_val;
}
ArgList* args = ArgList_create(3, i_val, j_val, k_val);
return ValVec(Vector_new(args));
}