375 lines
12 KiB
Python
375 lines
12 KiB
Python
"""
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A python script to generate a c++ vector library for math
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Should work with vectors with 2-9 components
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2022 Matthias Quintern
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"""
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from os import path
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#
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# SETTINGS
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#
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vectors = [2, 3, 4] # , 5, 6, 7, 8, 9]
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letters_ = {
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2: [ "x", "y" ],
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3: [ "x", "y", "z" ],
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4: [ "x", "y", "z", "w"],
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}
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# \t or x-spaces
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tab = "\t"
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# float, double, long double
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float_type = "float"
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# string or None
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namespace = "gz"
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types = {
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"float": "f",
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"double": "d",
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"int": "i",
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"unsigned int": "u",
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}
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filename = "vec.hpp"
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# for genstring
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templateStr = "@"
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#
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# HELPERS
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#
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def classname(n):
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return "vec" + str(n)
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def letters(n, i):
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if n in letters_:
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return letters_[n][i]
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else:
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return f"x{i}"
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def genstring(n: int, template: str, sep=", ", offset=0):
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"""
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Generate a string from a template for each vector component
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eg genstring(3, "@ + ") -> x + y + z
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"""
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s = ""
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for i in range(n):
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s += template.replace(templateStr, letters(n, i + offset)) + sep
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s.removesuffix(sep)
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return s[0:len(s)-len(sep)]
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def transformString(s: str, depth: int):
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"""Add tabs after all but the last line break and before the first char"""
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return depth * tab + s.replace("\n", "\n" + depth * tab, s.count("\n") - 1)
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def getPossiblities(i, a, depth=0):
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"""
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get all possibilites to get i by addition of numbers lower than i
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eg i=3 -> 3, 2+1, 1+2, 1+1+1
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"""
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if i == 0:
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return
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if i == 1:
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a.append(str(1))
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return
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for j in range(1, i):
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b = []
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# print("\t" * depth + "gp: i="+str(i)+" j="+str(j))
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getPossiblities(i-j, b, depth+1)
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for poss in b:
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# print("\t"*depth + f"{i}-{j} returned", b)
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a.append(str(j) + poss)
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a.append(str(i))
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#
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# GENERATORS
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#
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def genConstructors(n):
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constructors = []
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s = "/// Default constructor\n"
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s += classname(n) + "() : " + genstring(n, "@(0)") + " {};\n"
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constructors.append(s)
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s = "/// Create vector from scalar, all components will have value n\n"
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s += "template<typename N>\n"
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s += "(const N n) : " + genstring(n, "@(static_cast<T>(n))") + " {};\n";
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a = []
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getPossiblities(n, a)
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for possiblity in a:
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n_count = 0
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v_count = 0
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i = 0
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comment = "/// Create a " + classname(n) + " from "
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templates = "template<"
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args = classname(n) + "("
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init = " : "
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for nstr in possiblity:
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c = int(nstr)
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if c == 1:
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comment += "n "
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templates += f"typename N{n_count}, "
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args += f"N{n_count} n{n_count}, "
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init += letters(n, i) + f"(static_cast<T>(n{n_count})), "
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n_count += 1
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i += 1
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else:
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comment += f"vec{c} "
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args += "const " + classname(c) + f"<V{v_count}>& v{v_count}, "
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templates += f"typename V{v_count}, "
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for j in range(c):
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init += letters(n, i) + "(static_cast<T>(v" + str(v_count) + "." + letters(n, j) + ")), "
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i += 1
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v_count += 1
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templates = templates.removesuffix(", ") + ">"
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args = args.removesuffix(", ") + ")"
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init = init.removesuffix(", ") + " {};"
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s = comment + "\n" + templates + "\n" + args + init + "\n"
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constructors.append(s)
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return constructors
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def genValues(n):
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s = genstring(n, "T @;\n", "")
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return s
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def genAssignment(n):
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s = "/// component-wise assignment\n"
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s += "template<typename V>\n"
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s += "void operator=(const " + classname(n) + "<V>& other) {\n"
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s += genstring(n, f"\t@ = static_cast<T>(other.@);\n", "") + "};\n\n"
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s += "template<typename N>\n"
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s += "void operator=(const N& other) {\n"
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s += genstring(n, f"\t@ = static_cast<T>(other);\n", "") + "};\n\n"
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return s
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def genArithmeticVectorial(n):
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operators = []
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for op in ["+", "-", "*", "/", "%"]:
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s = "/// component-wise " + op + "\n"
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s += "template<typename V>\n"
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s += classname(n) + "<T> operator" + op + "(const " + classname(n) + "<V>& other) const { return "
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s += classname(n) + "<T>(" + genstring(n, f"@ {op} static_cast<T>(other.@)") + "); };\n"
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operators.append(s)
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operators.append("\n")
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for op in ["+=", "-=", "*=", "/=", "%="]:
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s = "/// component-wise assignment" + op + "\n"
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s += "template<typename V>\n"
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s += "void operator" + op + "(const " + classname(n) + "<V>& other) {\n"
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s += genstring(n, f"\t@ {op} static_cast<T>(other.@);\n", "") + "};\n"
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operators.append(s)
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operators.append("\n")
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return operators
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def genArithmeticScalar(n):
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operators = []
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for op in ["+", "-", "*", "/", "%"]:
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s = "/// component-wise " + op + "\n"
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s += "template<typename N>\n"
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s += classname(n) + "<T> operator" + op + "(const N& other) const { return "
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s += classname(n) + "<T>(" + genstring(n, f"@ {op} static_cast<T>(other.@)") + "); };\n"
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operators.append(s)
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operators.append("\n")
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for op in ["+=", "-=", "*=", "/=", "%="]:
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s = "/// component-wise assignment" + op + "\n"
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s += "template<typename N>\n"
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s += "void operator" + op + "(const N& other) {\n"
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s += genstring(n, f"\t@ {op} static_cast<T>(other.@);\n", "") + "};\n"
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operators.append(s)
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operators.append("\n")
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return operators
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def genComparisonVectorial(n):
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operators = []
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for op in ["==", "<", ">"]:
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s = "/// component-wise comparison " + op + " (and)\n"
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s += "template<typename N>\n"
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s += "bool operator" + op + "(const " + classname(n) + "<N>& other) const { return "
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s += genstring(n, f"@ {op} other.@", " and ") + "; };\n"
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operators.append(s)
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operators.append("\n")
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for op, antiop in { "!=": "==", "<=": ">", ">=": "<" }.items():
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s = "/// component-wise comparison " + op + " (and)\n"
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s += "template<typename N>\n"
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s += "bool operator" + op + "(const " + classname(n) + "<N>& other) const { return "
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s += genstring(n, f"@ {antiop} other.@", " and ") + "; };\n"
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operators.append(s)
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operators.append("\n")
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return operators
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def genComparisonScalar(n):
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operators = []
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for op in ["==", "<", ">"]:
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s = "/// component-wise comparison " + op + " (and)\n"
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s += "template<typename N>\n"
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s += "bool operator" + op + "(const N& other) const { return "
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s += genstring(n, f"@ {op} other.@", " and ") + "; };\n"
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operators.append(s)
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operators.append("\n")
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for op, antiop in { "!=": "==", "<=": ">", ">=": "<" }.items():
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s = "/// component-wise comparison " + op + " (and)\n"
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s += "template<typename N>\n"
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s += "bool operator" + op + "(const N& other) const { return "
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s += genstring(n, f"@ {antiop} other.@", " and ") + "; };\n"
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operators.append(s)
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return operators
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def genIterator(n):
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s = """struct Iterator {
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public:
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using value_type = T;
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Iterator() : ptr(nullptr) {};
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Iterator(T* ptr) : ptr(ptr) {};
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T& operator*() { return *ptr; };
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Iterator& operator=(const Iterator& other) {
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ptr = other.ptr;
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return *this;
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};
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Iterator& operator++() { ptr += sizeof(T); return *this; };
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Iterator operator++(int) { auto copy = *this; ptr += sizeof(T); return copy; };
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friend int operator-(Iterator lhs, Iterator rhs) {
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return lhs.ptr - rhs.ptr;
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};
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bool operator==(const Iterator& other) const { return ptr == other.ptr; };
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// bool operator!=(const Iterator& other) const { return ptr != other.ptr; };
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private:
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T* ptr;
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};
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"""
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s += "const Iterator cbegin() const { return Iterator(&" + letters(n, 0) + "); };\n"
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s += "const Iterator cend() const { return Iterator(&" + letters(n, n-1) + "); };\n"
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s += "const Iterator begin() const { return Iterator(&" + letters(n, 0) + "); };\n"
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s += "const Iterator end() const { return Iterator(&" + letters(n, n-1) + "); };\n\n"
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return s
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def genFunctional(n):
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s = "/// Returns the absolute value of the vector\n"
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s += "inline " + float_type + " abs() const { return std::sqrt(" + genstring(n, f"static_cast<{float_type}>(@ * @)", " + ") + "); };"
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if n == 2:
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s += "/// Returns x/y\n"
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s += "inline " + float_type + " ratio() const { return static_cast<" + float_type + ">(x) / y; };"
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s += "/// Returns y/x\n"
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s += "inline " + float_type + " inverseRatio() const { return static_cast<" + float_type + ">(y) / x; };"
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s += "/// Returns the min of the components\n"
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s += "inline T min() const { return std::min_element(cbegin(), cend()); };\n"
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s += "/// Returns the max of the components\n"
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s += "inline T max() const { return std::max_element(cbegin(), cend()); };\n"
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s += "/// Scalar product\n"
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s += "template<typename V>\n"
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s += "inline " + classname(n) + "<T> dot(const " + classname(n) + "<V>& other) { return " + classname(n) + "<T>("
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s += genstring(n, "@ * static_cast<T>(other.@)", " + ") + "); };\n"
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return s
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def genUtility(n):
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s = "std::string to_string() const { return \"(\" + " + genstring(n, "std::to_string(@)", " + \", \" + ") + " + \")\"; };\n"
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return s
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def genUsing(n):
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global types
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s = ""
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for t, c in types.items():
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s += f"using {classname(n)}{c} = {classname(n)}<{t}>;\n"
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return s
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def generateFile(vectors):
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depth = 0
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s = "#pragma once\n\n#include <string>\n#include <cmath>\n#include <algorithm>\n\n"
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if namespace:
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s += "namespace " + namespace + " {\n"
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depth = 1
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for v in vectors:
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s += generateVector(v, depth)
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s += "\n"
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for v in vectors:
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s += transformString(genUsing(v), depth)
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s += "\n"
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if namespace:
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depth -= 1
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s += transformString("} // namespace " + namespace + "\n", depth)
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for i in range(1, 5):
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s = s.replace("\n" + i * tab + "\n", "\n\n")
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return s
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def generateVector(n, depth):
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s = transformString("""/**
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* @brief Class containing $ numbers
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*/
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template<typename T>
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class vec$ {
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public:
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""".replace("$", str(n)), depth)
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depth += 1
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s += transformString("// Constructors\n", depth)
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for c in genConstructors(n):
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s += transformString(c, depth + 1)
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s += transformString("// Values\n", depth)
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s += transformString(genValues(n), depth + 1)
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s += transformString("// Assignment\n", depth)
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s += transformString(genAssignment(n), depth + 1)
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s += transformString("// Arithmetic\n", depth - 1)
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s += transformString("// Vectorial\n", depth)
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for o in genArithmeticVectorial(n):
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s += transformString(o, depth + 1)
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s += transformString("// Scalar\n", depth)
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for o in genArithmeticScalar(n):
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s += transformString(o, depth + 1)
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s += transformString("// Comparison\n", depth - 1)
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s += transformString("// Vectorial\n", depth)
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for o in genComparisonVectorial(n):
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s += transformString(o, depth + 1)
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s += transformString("// Scalar\n", depth)
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for o in genComparisonScalar(n):
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s += transformString(o, depth + 1)
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s += transformString("// Functional\n", depth - 1)
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s += transformString(genFunctional(n), depth + 1)
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s += transformString("// Utility\n", depth - 1)
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s += transformString(genUtility(n), depth + 1)
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s += transformString(genIterator(n), depth + 1)
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s += transformString("}; // vec" + str(n) + "\n", depth - 1)
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return s
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def write_file(s):
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global filename
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if path.exists(filename):
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answer = input("File " + filename + "already exists. Overwrite? (y/n): ")
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if answer not in "yY":
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return
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with open(filename, "w") as file:
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file.write(s)
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if __name__ == "__main__":
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write_file(generateFile(vectors))
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