import matplotlib.pyplot as plt

# plt.rc('text', usetex=True)
# plt.rc('font', family='serif')

def main():
    for i in range(7):
        x = []
        abs_err = []
        rel_err = []
        with open(f"output/error/out_{10**(i+1)}.txt", "r") as f:
            lines = f.readlines()
            for line in lines:
                x_i, abs_err_i, rel_err_i = line.strip().split(",")
                x.append(float(x_i))
                abs_err.append(float(abs_err_i))
                rel_err.append(float(rel_err_i))

        plt.figure(1)
        plt.plot(x, abs_err, label=f"n$_{{steps}} = 10^{i+1}$")
        plt.figure(2)
        plt.plot(x, rel_err, label=f"n$_{{steps}} = 10^{i+1}$")

        plt.figure(3)
        plt.plot(i+1, max(rel_err), marker="o", markersize=10)
    
    plt.figure(1)
    plt.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)
    plt.figure(2)
    plt.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)
    
    plt.figure(1)
    plt.savefig("../latex/images/problem8_a.pdf", bbox_inches="tight")
    plt.figure(2)
    plt.savefig("../latex/images/problem8_b.pdf", bbox_inches="tight")
    plt.figure(3)
    plt.savefig("../latex/images/problem8_c.pdf", bbox_inches="tight")

if __name__ == "__main__":
    main()