Jungfraujoch/common/CrystalLattice.cpp

// SPDX-FileCopyrightText: 2025 Filip Leonarski, Paul Scherrer Institute <filip.leonarski@psi.ch>
// SPDX-License-Identifier: GPL-3.0-only

#include <cmath>
#include "CrystalLattice.h"
#include "JFJochException.h"

#include "gemmi/symmetry.hpp"
#include "gemmi/unitcell.hpp"

#define DEG_TO_RAD static_cast<float>(M_PI/180.0)

CrystalLattice::CrystalLattice(const UnitCell &cell) {
    vec[0] = {cell.a, 0, 0};
    vec[1] = {cell.b * cosf(cell.gamma * DEG_TO_RAD), cell.b * sinf(cell.gamma * DEG_TO_RAD), 0};
    float cx = cell.c * cosf(cell.beta * DEG_TO_RAD);
    float cy = cell.c
                * (cosf(cell.alpha * DEG_TO_RAD) - cosf(cell.beta * DEG_TO_RAD) * cosf(cell.gamma * DEG_TO_RAD))
                / sinf(cell.gamma * DEG_TO_RAD);
    vec[2] = {cx, cy, sqrtf(cell.c*cell.c-cx*cx-cy*cy)};

    FixHandeness();
}

CrystalLattice::CrystalLattice(const Coord &a, const Coord &b, const Coord &c) {
    vec[0] = a;
    vec[1] = b;
    vec[2] = c;

    FixHandeness();
}

const Coord &CrystalLattice::Vec0() const {
    return vec[0];
}

const Coord &CrystalLattice::Vec1() const {
    return vec[1];
}

const Coord &CrystalLattice::Vec2() const {
    return vec[2];
}

UnitCell CrystalLattice::GetUnitCell() const {
    UnitCell cell{};
    cell.a = vec[0].Length();
    cell.b = vec[1].Length();
    cell.c = vec[2].Length();
    cell.alpha = angle_deg(vec[1], vec[2]);
    cell.beta = angle_deg(vec[0], vec[2]);
    cell.gamma = angle_deg(vec[0], vec[1]);
    return cell;
}

std::vector<float> CrystalLattice::GetVector() const {
    std::vector<float> output(9);
    for (int i = 0; i < 3; i++) {
        output[3 * i + 0] = vec[i].x;
        output[3 * i + 1] = vec[i].y;
        output[3 * i + 2] = vec[i].z;
    }
    return output;
}

float CrystalLattice::CalcVolume() const {
    // Calculate the cell volume
    // V = a · (b × c)
    Coord cross_product = vec[1] % vec[2];
    return vec[0] * cross_product;
}

void CrystalLattice::Sort() {
    if (vec[0].Length() > vec[1].Length())
        std::swap(vec[0], vec[1]);
    if (vec[1].Length() > vec[2].Length())
        std::swap(vec[1], vec[2]);
    if (vec[0].Length() > vec[1].Length())
        std::swap(vec[0], vec[1]);
}

void CrystalLattice::FixHandeness() {
    if (CalcVolume() < 0)
        vec[2] *= -1;
}


Coord CrystalLattice::Astar() const {
    return (vec[1] % vec[2]) * (1.0f / CalcVolume());
}

Coord CrystalLattice::Bstar() const {
    return (vec[2] % vec[0]) * (1.0f / CalcVolume());
}

Coord CrystalLattice::Cstar() const {
    return (vec[0] % vec[1]) * (1.0f / CalcVolume());
}

CrystalLattice::CrystalLattice(float a, float b, float c, float alpha, float beta, float gamma)
: CrystalLattice(UnitCell{.a = a, .b = b, .c = c, .alpha = alpha, .beta = beta, .gamma = gamma}) {}

CrystalLattice::CrystalLattice(const std::vector<float> &input) {
    if (input.size() != 9)
        throw JFJochException(JFJochExceptionCategory::InputParameterInvalid,"Wrong size of crystal lattice vector");
    for (int i = 0; i < 3; i++) {
        vec[i].x = input[3 * i + 0];
        vec[i].y = input[3 * i + 1];
        vec[i].z = input[3 * i + 2];
    }
}

void CrystalLattice::ReorderABEqual() {
    double la = vec[0].Length();
    double lb = vec[1].Length();
    double lc = vec[2].Length();

    double dab = std::abs(la - lb);
    double dbc = std::abs(lb - lc);
    double dac = std::abs(la - lc);

    Coord a = vec[0];
    Coord b = vec[1];
    Coord c = vec[2];

    if (dbc < dab && dbc < dac) {
        // b≈c → [b, c, a]
        vec[0] = b;
        vec[1] = c;
        vec[2] = a;
    } else if (dac < dab && dac < dbc) {
        // a≈c → [a, c, b]
        vec[0] = a;
        vec[1] = c;
        vec[2] = b;
    } // else a≈b → keep [a, b, c]

    FixHandeness();
}

void CrystalLattice::ReorderMonoclinic() {
    float alpha = angle_deg(vec[1], vec[2]);
    float beta = angle_deg(vec[0], vec[2]);
    float gamma = angle_deg(vec[0], vec[1]);

    float da = std::abs(alpha - 90.0f);
    float db = std::abs(beta - 90.0f);
    float dg = std::abs(gamma - 90.0f);

    Coord a = vec[0];
    Coord b = vec[1];
    Coord c = vec[2];

    if (da > db && da > dg) {
        // alpha most different -> [b, c, a]
        vec[0] = b;
        vec[1] = a;
        vec[2] = c;
    } else if (dg > db && dg > da) {
        // gamma most different -> [c, a, b]
        vec[0] = a;
        vec[1] = c;
        vec[2] = b;
    } // else beta most different -> keep [a, b, c]

    if (vec[0].Length() > vec[2].Length())
        std::swap(vec[0], vec[2]);

    FixHandeness();

    // Enforce obtuse beta (>= 90°). Beta is the angle between a and c.
    // Flip signs of a and b simultaneously to keep handedness and lengths unchanged,
    // which maps beta -> 180° - beta.
    float beta_now = angle_deg(vec[0], vec[2]);
    if (beta_now < 90.0f) {
        vec[0] *= -1.0f; // a -> -a
        vec[1] *= -1.0f; // b -> -b (preserves cell volume sign)
        // beta becomes 180 - beta_now (> 90°)
    }
}

CrystalLattice CrystalLattice::Multiply(const RotMatrix &input) const {
    CrystalLattice l;
    l.vec[0] = input * vec[0];
    l.vec[1] = input * vec[1];
    l.vec[2] = input * vec[2];
    l.FixHandeness();
    return l;
}

CrystalLattice CrystalLattice::Multiply(const gemmi::Mat33 &c2p) const {
    CrystalLattice l;
    for (int i = 0; i < 3; i++) {
        for (int j = 0; j < 3; j++) {
            l.vec[i][j] = c2p[i][0] * vec[0][j] + c2p[i][1] * vec[1][j] + c2p[i][2] * vec[2][j];
        }
    }
    l.FixHandeness();
    return l;
}

CrystalLattice CrystalLattice::FromPrimitive(char centering) const {
    if (centering == 'P')
        return *this;

    return Multiply(gemmi::rot_as_mat33(gemmi::centred_to_primitive(centering)).inverse());
}

CrystalLattice CrystalLattice::ToPrimitive(char centering) const {
    if (centering == 'P')
        return *this;

    return Multiply(gemmi::rot_as_mat33(gemmi::centred_to_primitive(centering)));
}

void CrystalLattice::Regularize(const gemmi::CrystalSystem &input) {
    switch (input) {
        case gemmi::CrystalSystem::Monoclinic:
            ReorderMonoclinic();
            break;
        case gemmi::CrystalSystem::Tetragonal:
        case gemmi::CrystalSystem::Hexagonal:
            ReorderABEqual();
            break;
        default:
            Sort();
            FixHandeness();
            break;
    }
}