Task: Cistercian numerals


C++: #include <array>
#include <iostream>

template<typename T, size_t S>
using FixedSquareGrid = std::array<std::array<T, S>, S>;

struct Cistercian {
public:
    Cistercian() {
        initN();
    }

    Cistercian(int v) {
        initN();
        draw(v);
    }

    Cistercian &operator=(int v) {
        initN();
        draw(v);
    }

    friend std::ostream &operator<<(std::ostream &, const Cistercian &);

private:
    FixedSquareGrid<char, 15> canvas;

    void initN() {
        for (auto &row : canvas) {
            row.fill(' ');
            row[5] = 'x';
        }
    }

    void horizontal(size_t c1, size_t c2, size_t r) {
        for (size_t c = c1; c <= c2; c++) {
            canvas[r][c] = 'x';
        }
    }

    void vertical(size_t r1, size_t r2, size_t c) {
        for (size_t r = r1; r <= r2; r++) {
            canvas[r][c] = 'x';
        }
    }

    void diagd(size_t c1, size_t c2, size_t r) {
        for (size_t c = c1; c <= c2; c++) {
            canvas[r + c - c1][c] = 'x';
        }
    }

    void diagu(size_t c1, size_t c2, size_t r) {
        for (size_t c = c1; c <= c2; c++) {
            canvas[r - c + c1][c] = 'x';
        }
    }

    void drawOnes(int v) {
        switch (v) {
        case 1:
            horizontal(6, 10, 0);
            break;
        case 2:
            horizontal(6, 10, 4);
            break;
        case 3:
            diagd(6, 10, 0);
            break;
        case 4:
            diagu(6, 10, 4);
            break;
        case 5:
            drawOnes(1);
            drawOnes(4);
            break;
        case 6:
            vertical(0, 4, 10);
            break;
        case 7:
            drawOnes(1);
            drawOnes(6);
            break;
        case 8:
            drawOnes(2);
            drawOnes(6);
            break;
        case 9:
            drawOnes(1);
            drawOnes(8);
            break;
        default:
            break;
        }
    }

    void drawTens(int v) {
        switch (v) {
        case 1:
            horizontal(0, 4, 0);
            break;
        case 2:
            horizontal(0, 4, 4);
            break;
        case 3:
            diagu(0, 4, 4);
            break;
        case 4:
            diagd(0, 4, 0);
            break;
        case 5:
            drawTens(1);
            drawTens(4);
            break;
        case 6:
            vertical(0, 4, 0);
            break;
        case 7:
            drawTens(1);
            drawTens(6);
            break;
        case 8:
            drawTens(2);
            drawTens(6);
            break;
        case 9:
            drawTens(1);
            drawTens(8);
            break;
        default:
            break;
        }
    }

    void drawHundreds(int hundreds) {
        switch (hundreds) {
        case 1:
            horizontal(6, 10, 14);
            break;
        case 2:
            horizontal(6, 10, 10);
            break;
        case 3:
            diagu(6, 10, 14);
            break;
        case 4:
            diagd(6, 10, 10);
            break;
        case 5:
            drawHundreds(1);
            drawHundreds(4);
            break;
        case 6:
            vertical(10, 14, 10);
            break;
        case 7:
            drawHundreds(1);
            drawHundreds(6);
            break;
        case 8:
            drawHundreds(2);
            drawHundreds(6);
            break;
        case 9:
            drawHundreds(1);
            drawHundreds(8);
            break;
        default:
            break;
        }
    }

    void drawThousands(int thousands) {
        switch (thousands) {
        case 1:
            horizontal(0, 4, 14);
            break;
        case 2:
            horizontal(0, 4, 10);
            break;
        case 3:
            diagd(0, 4, 10);
            break;
        case 4:
            diagu(0, 4, 14);
            break;
        case 5:
            drawThousands(1);
            drawThousands(4);
            break;
        case 6:
            vertical(10, 14, 0);
            break;
        case 7:
            drawThousands(1);
            drawThousands(6);
            break;
        case 8:
            drawThousands(2);
            drawThousands(6);
            break;
        case 9:
            drawThousands(1);
            drawThousands(8);
            break;
        default:
            break;
        }
    }

    void draw(int v) {
        int thousands = v / 1000;
        v %= 1000;

        int hundreds = v / 100;
        v %= 100;

        int tens = v / 10;
        int ones = v % 10;

        if (thousands > 0) {
            drawThousands(thousands);
        }
        if (hundreds > 0) {
            drawHundreds(hundreds);
        }
        if (tens > 0) {
            drawTens(tens);
        }
        if (ones > 0) {
            drawOnes(ones);
        }
    }
};

std::ostream &operator<<(std::ostream &os, const Cistercian &c) {
    for (auto &row : c.canvas) {
        for (auto cell : row) {
            os << cell;
        }
        os << '\n';
    }
    return os;
}

int main() {
    for (auto number : { 0, 1, 20, 300, 4000, 5555, 6789, 9999 }) {
        std::cout << number << ":\n";

        Cistercian c(number);
        std::cout << c << '\n';
    }

    return 0;
}






Python: 




def _init():
    "digit sections for forming numbers"
    digi_bits = .strip()

    lines = [[d.replace('.', ' ') for d in ln.strip().split()]
             for ln in digi_bits.strip().split('\n')
             if '
    formats = '<2 >2 <2 >2'.split()
    digits = [[f"{dig:{f}}" for dig in line]
              for f, line in zip(formats, lines)]

    return digits

_digits = _init()



def _to_digits(n):
    assert 0 <= n < 10_000 and int(n) == n
    
    return [int(digit) for digit in f"{int(n):04}"][::-1]

def num_to_lines(n):
    global _digits
    d = _to_digits(n)
    lines = [
        ''.join((_digits[1][d[1]], '┃',  _digits[0][d[0]])),
        ''.join((_digits[0][   0], '┃',  _digits[0][   0])),
        ''.join((_digits[3][d[3]], '┃',  _digits[2][d[2]])),
        ]
    
    return lines

def cjoin(c1, c2, spaces='   '):
    return [spaces.join(by_row) for by_row in zip(c1, c2)]


if __name__ == '__main__':
    
    
    
    
    for pow10 in range(4):    
        step = 10 ** pow10
        print(f'\nArabic {step}-to-{9*step} by {step} in Cistercian:\n')
        lines = num_to_lines(step)
        for n in range(step*2, step*10, step):
            lines = cjoin(lines, num_to_lines(n))
        print('\n'.join(lines))
    

    numbers = [0, 5555, 6789, 6666]
    print(f'\nArabic {str(numbers)[1:-1]} in Cistercian:\n')
    lines = num_to_lines(numbers[0])
    for n in numbers[1:]:
        lines = cjoin(lines, num_to_lines(n))
    print('\n'.join(lines))