From f5c4671bfbad96bf346bd7e9a21fc4317b4959df Mon Sep 17 00:00:00 2001 From: Indrajith K L Date: Sat, 3 Dec 2022 17:00:20 +0530 Subject: Adds most of the tools --- v_windows/v/old/vlib/gg/m4/graphic.v | 110 +++++++ v_windows/v/old/vlib/gg/m4/m4_test.v | 235 ++++++++++++++ v_windows/v/old/vlib/gg/m4/matrix.v | 595 +++++++++++++++++++++++++++++++++++ v_windows/v/old/vlib/gg/m4/vector.v | 230 ++++++++++++++ 4 files changed, 1170 insertions(+) create mode 100644 v_windows/v/old/vlib/gg/m4/graphic.v create mode 100644 v_windows/v/old/vlib/gg/m4/m4_test.v create mode 100644 v_windows/v/old/vlib/gg/m4/matrix.v create mode 100644 v_windows/v/old/vlib/gg/m4/vector.v (limited to 'v_windows/v/old/vlib/gg/m4') diff --git a/v_windows/v/old/vlib/gg/m4/graphic.v b/v_windows/v/old/vlib/gg/m4/graphic.v new file mode 100644 index 0000000..e134e80 --- /dev/null +++ b/v_windows/v/old/vlib/gg/m4/graphic.v @@ -0,0 +1,110 @@ +/********************************************************************** +* +* Simply vector/matrix graphic utility +* +* Copyright (c) 2021 Dario Deledda. All rights reserved. +* Use of this source code is governed by an MIT license +* that can be found in the LICENSE file. +* +* TODO: +**********************************************************************/ +module m4 + +import math + +// Translate degrees to radians +[inline] +pub fn rad(deg f32) f32 { + return (math.pi / 180.0) * deg +} + +// Translate radians to degrees +[inline] +pub fn deg(grad f32) f32 { + return (180.0 / math.pi) * grad +} + +// calculate the Orthographic projection matrix +pub fn ortho(left f32, right f32, bottom f32, top f32, z_near f32, z_far f32) Mat4 { + rml := right - left + rpl := right + left + tmb := top - bottom + tpb := top + bottom + fmn := z_far - z_near + fpn := z_far + z_near + if fmn != 0 { + return Mat4{ e: [ + 2 / rml, 0 , 0, -(rpl / rml), + 0 , 2 / tmb, 0, -(tpb / tmb), + 0 , 0, 2 / fmn, -(fpn / fmn), + 0 , 0, 0, 1, + ]! + } + } + return Mat4{ e: [ + 2 / rml, 0 , 0, -(rpl / rml), + 0 , 2 / tmb, 0, -(tpb / tmb), + 0 , 0, 0, 0, + 0 , 0, 0, 1, + ]! + } +} + +// Calculate the perspective matrix using (fov:fov, ar:aspect_ratio ,n:near_pane, f:far_plane) as parameters +pub fn perspective(fov f32, ar f32, n f32, f f32) Mat4 { + ctan := f32(1.0 / math.tan(fov * (f32(math.pi) / 360.0))) // for the FOV we use 360 instead 180 + return Mat4{ e: [ + ctan / ar, 0, 0, 0, + 0, ctan, 0, 0, + 0, 0, (n + f) / (n - f), -1.0, + 0, 0, (2.0 * n * f) / (n - f), 0, + ]! + } +} + +// Calculate the look-at matrix +pub fn look_at(eye Vec4, center Vec4, up Vec4) Mat4 { + f := (center - eye).normalize3() + s := (f % up).normalize3() + u := (s % f) + + return Mat4{ e: [ + /* [0][0] */ s.e[0], + /* [0][1] */ u.e[0], + /* [0][2] */ - f.e[0], + /* [0][3] */ 0, + + /* [1][1] */ s.e[1], + /* [1][1] */ u.e[1], + /* [1][2] */ - f.e[1], + /* [1][3] */ 0, + + /* [2][0] */ s.e[2], + /* [2][1] */ u.e[2], + /* [2][2] */ - f.e[2], + /* [2][3] */ 0, + + /* [3][0] */ - (s * eye), + /* [3][1] */ - (u * eye), + /* [3][2] */ f * eye, + /* [3][3] */ 1, + ]! + } +} + + +// Get the complete transformation matrix for GLSL demos +pub fn calc_tr_matrices(w f32, h f32, rx f32, ry f32, in_scale f32) Mat4 { + proj := perspective(60, w / h, 0.01, 10.0) + view := look_at(Vec4{ e: [f32(0.0), 1.5, 6, 0]! }, Vec4{ e: [f32(0), 0, 0, 0]! }, Vec4{ e: [f32(0), 1.0, 0, 0]! }) + view_proj := view * proj + + rxm := rotate(rad(rx), Vec4{ e: [f32(1), 0, 0, 0]! }) + rym := rotate(rad(ry), Vec4{ e: [f32(0), 1, 0, 0]! }) + + model := rym * rxm + scale_m := scale(Vec4{ e: [in_scale, in_scale, in_scale, 1]! }) + + res := (scale_m * model) * view_proj + return res +} diff --git a/v_windows/v/old/vlib/gg/m4/m4_test.v b/v_windows/v/old/vlib/gg/m4/m4_test.v new file mode 100644 index 0000000..90b4640 --- /dev/null +++ b/v_windows/v/old/vlib/gg/m4/m4_test.v @@ -0,0 +1,235 @@ +import gg.m4 + +pub fn test_m4() { + unsafe { + // Test Mat4 + mut a := m4.Mat4{ e: [ + f32(0), 1, 2, 3, + 4, 5, 6, 7, + 8, 9, 10, 11, + 12, 13, 14, 15, + ]! + } + mut b := m4.Mat4{} + mut c := m4.Mat4{} + + // equal test + assert a.e == [ + f32(0), 1, 2, 3, + 4, 5, 6, 7, + 8, 9, 10, 11, + 12, 13, 14, 15, + ]! + + // copy test + b.copy(a) + assert a.e == b.e + + // test: transpose, scale + assert b.transpose().mul_scalar(2.0).mul_scalar(0.5).transpose().e == a.e + assert b.sum_all() == 120.0 + + // test rows/columns set/get + for i in 0 .. 4 { + b = m4.zero_m4() + b.set_row(i, m4.Vec4{ e: [f32(1.0), 2, 3, 4]! }) + assert b.get_f(0, i) == 1.0 + assert b.get_f(1, i) == 2.0 + assert b.get_f(2, i) == 3.0 + assert b.get_f(3, i) == 4.0 + // println(b) + c = m4.zero_m4() + c.set_col(i, m4.Vec4{ e: [f32(1.0), 2, 3, 4]! }) + assert c.get_f(i, 0) == 1.0 + assert c.get_f(i, 1) == 2.0 + assert c.get_f(i, 2) == 3.0 + assert c.get_f(i, 3) == 4.0 + // println(c) + } + } +} + +fn test_swap_col_row() { + unsafe { + // swap_col / swap_row + b := m4.Mat4{ e: [ + f32(1), 2, 3, 4, + 5, 6, 7, 8, + 9, 10, 11, 12, + 13, 14, 15, 16, + ]! + } + b.swap_col(0, 2) + assert b.e == [ + f32(3), 2, 1, 4, + 7, 6, 5, 8, + 11, 10, 9, 12, + 15, 14, 13, 16, + ]! + b = m4.Mat4{ e: [ + f32(1), 2, 3, 4, + 5, 6, 7, 8, + 9, 10, 11, 12, + 13, 14, 15, 16, + ]! + } + b.swap_row(0, 2) + assert b.e == [ + f32(9), 10, 11, 12, + 5, 6, 7, 8, + 1, 2, 3, 4, + 13, 14, 15, 16, + ]! + } +} + +fn test_sum_sub() { + unsafe { + // test sum/sub + b := m4.unit_m4() + c := m4.unit_m4() + assert m4.sub(m4.add(b, c), b).e == m4.unit_m4().e + assert (b + c - b).e == m4.unit_m4().e + } +} + +fn test_transpose() { + unsafe { + b := m4.Mat4{ e: [ + f32(0), 1, 2, 3, + 4, 5, 6, 7, + 8, 9, 10, 11, + 12, 13, 14, 15, + ]! + } + assert b.transpose().transpose().e == b.e + } +} + +fn test_multiplication() { + unsafe { + b := m4.Mat4{ e: [ + f32(1), 0, 0, 0, + 0, 2, 0, 0, + 0, 0, 3, 0, + 0, 0, 0, 4, + ]! + } + c := m4.Mat4{ e: [ + f32(1), 2, 3, 4, + 5, 6, 7, 8, + 9, 10, 11, 12, + 13, 14, 15, 16, + ]! + } + + assert (c * c).e == [ + f32(90),100,110,120, + 202,228,254,280, + 314,356,398,440, + 426,484,542,600, + ]! + + assert m4.mul(c, c).e == [ + f32(90),100,110,120, + 202,228,254,280, + 314,356,398,440, + 426,484,542,600, + ]! + + assert m4.mul(b, c).e == [ + f32(1), 2, 3, 4, + 10, 12, 14, 16, + 27, 30, 33, 36, + 52, 56, 60, 64, + ]! + + assert (b * c).e == [ + f32(1), 2, 3, 4, + 10, 12, 14, 16, + 27, 30, 33, 36, + 52, 56, 60, 64, + ]! + + assert m4.det(b) == 24 + } +} + +fn test_det() { + unsafe { + b := m4.Mat4{ e: [ + f32(5), 6, 6, 8, + 2, 2, 2, 8, + 6, 6, 2, 8, + 2, 3, 6, 7, + ]! + } + assert m4.det(b) == -8 + + c := m4.Mat4{ e: [ + f32(1), 8, 2, 3, + 8, 2, 3, 1, + 2, 3, 3, 2, + 3, 1, 2, 4, + ]! + } + // println("*** INVERSE ****") + // println(m4.mul(b.inverse(),b)) + // println(m4.clean_small(m4.mul(c.inverse(),c))) + // println("****************") + assert m4.mul(b.inverse(), b).e == m4.unit_m4().e + assert m4.mul(c.inverse(), c).is_equal(m4.unit_m4()) + } +} + +fn test_vec4() { + // Test Vec4 + // println("*** Vector4 ****") + assert m4.vec3(1,2,3) == m4.Vec4{[f32(1), 2, 3, 1]!} + mut v := m4.Vec4{[f32(1), 2, 3, 4]!} + assert v * v.inv() == 4 + assert v.mul_scalar(1.0 / v.mod()).mod() == 1 + assert v + m4.Vec4{ e: [f32(5), 6, 7, 8]! } == m4.Vec4{ e: [f32(6), 8, 10, 12]! } + assert v - m4.Vec4{ e: [f32(1), 2, 3, 4]! } == m4.Vec4{ e: [f32(0), 0, 0, 0]! } + assert v.mul_vec4(m4.Vec4{ e: [f32(2), 2, 2, 2]! }) == m4.Vec4{ e: [f32(2), 4, 6, 8]! } + assert f32_abs(v.normalize().mod() - 1) < m4.precision + v = m4.Vec4{[f32(1), 2, 3, 0]!} + assert f32_abs(v.normalize3().mod3() - 1) < m4.precision + assert f32_abs(v.normalize3().mod() - 1) < m4.precision + // cross product + // x y z + // 1 2 3 ==> -3 6 -3 0 + // 4 5 6 + // println(m4.Vec4{[f32(1),2,3,2]!} % m4.Vec4{[f32(4),5,6,2]!}) + assert m4.Vec4{[f32(1), 2, 3, 0]!} % m4.Vec4{[f32(4), 5, 6, 0]!} == m4.Vec4{[ f32(-3), 6, -3, 0, ]!} + assert m4.Vec4{[f32(1), 2, 3, 13]!} % m4.Vec4{[f32(4), 5, 6, 11]!} == m4.Vec4{[ f32(-3), 6, -3, 0, ]!} + // matrix * vector + a := m4.Mat4{ e: [ + f32(1),2,3,4 + 5,6,7,8 + 9,10,11,12 + 13,14,15,16 + ]! + } + assert m4.mul_vec(a, m4.Vec4{[f32(1), 2, 3, 4]!}) == m4.Vec4{[ f32(30), 70, 110,150, ]!} + // Rotation + // println("*** Rotation ****") + rotx := m4.rotate(m4.rad(-90), m4.Vec4{ e: [f32(1.0), 0, 0, 0]! }).clean() + roty := m4.rotate(m4.rad(-90), m4.Vec4{ e: [f32(0), 1.0, 0, 0]! }).clean() + rotz := m4.rotate(m4.rad(-90), m4.Vec4{ e: [f32(0), 0, 1, 0]! }).clean() + // println( rotx ) + // println( roty ) + // println( rotz ) + // println( m4.mul_vec(rotx, m4.Vec4{e:[f32(0),0,1,0]!}).clean()) + assert m4.mul_vec(roty, m4.Vec4{ e: [f32(1.0), 0.0, 0, 0]! }).clean() == m4.Vec4{ e: [f32(0), 0.0, -1, 0]! } + assert m4.mul_vec(rotz, m4.Vec4{ e: [f32(1.0), 0.0, 0, 0]! }).clean() == m4.Vec4{ e: [f32(0), 1, 0, 0]! } + assert m4.mul_vec(rotx, m4.Vec4{ e: [f32(0), 0, 1, 0]! }).clean() == m4.Vec4{ e: [f32(0), -1, 0, 0]! } + // println("****************") +} + +fn test_proj() { + ort := m4.ortho(0,300,0,200,0,0) + assert m4.mul_vec(ort, m4.Vec4{[ f32(150), 100, 0, 1]!}) == m4.Vec4{[ f32(0), 0, 0, 1]!} + assert m4.mul_vec(ort, m4.Vec4{[ f32(0), 0, 0, 1]!}) == m4.Vec4{[ f32(-1), -1, 0, 1]!} + assert m4.mul_vec(ort, m4.Vec4{[ f32(300), 200, 0, 1]!}) == m4.Vec4{[ f32(1), 1, 0, 1]!} +} diff --git a/v_windows/v/old/vlib/gg/m4/matrix.v b/v_windows/v/old/vlib/gg/m4/matrix.v new file mode 100644 index 0000000..c839b9d --- /dev/null +++ b/v_windows/v/old/vlib/gg/m4/matrix.v @@ -0,0 +1,595 @@ +/********************************************************************** +* +* Simply vector/matrix utility +* +* Copyright (c) 2021 Dario Deledda. All rights reserved. +* Use of this source code is governed by an MIT license +* that can be found in the LICENSE file. +* +* TODO: +**********************************************************************/ +module m4 + +import math + +pub union Mat4 { +pub mut: + e [16]f32 + f [4][4]f32 +} + +pub const precision = f32(10e-7) + +// default precision for the module + +/********************************************************************* +* +* Utility +* +*********************************************************************/ +// String representation of the matrix +pub fn (x Mat4) str() string { + unsafe { + return '|${x.e[0]:-6.3},${x.e[1]:-6.3},${x.e[2]:-6.3},${x.e[3]:-6.3}|\n' + + '|${x.e[4]:-6.3},${x.e[5]:-6.3},${x.e[6]:-6.3},${x.e[7]:-6.3}|\n' + + '|${x.e[8]:-6.3},${x.e[9]:-6.3},${x.e[10]:-6.3},${x.e[11]:-6.3}|\n' + + '|${x.e[12]:-6.3},${x.e[13]:-6.3},${x.e[14]:-6.3},${x.e[15]:-6.3}|' + } +} + +// Remove all the raw zeros +[direct_array_access] +pub fn (a Mat4) clean() Mat4 { + unsafe { + x := Mat4{} + for c, value in a.e { + if f32_abs(value) < m4.precision { + x.e[c] = 0 + } else { + x.e[c] = value + } + } + return x + } +} + +// Sum all the elements of the matrix +pub fn (x Mat4) sum_all() f32 { + mut res := f32(0) + for v in unsafe { x.e } { + res += v + } + return res +} + +// Check if two matrix are equal using module precision +[direct_array_access] +pub fn (x Mat4) is_equal(y Mat4) bool { + unsafe { + for c, value in x.e { + if f32_abs(value - y.e[c]) > m4.precision { + return false + } + } + return true + } +} + +//------------------------------------- +// Set/Get values +//------------------------------------- +// Get an element of the matrix using [0..15] indexes, one dimension +pub fn (x Mat4) get_e(elem_index int) f32 { + unsafe { + return x.e[elem_index] + } +} + +// Get an element of the matrix using [0..3][0..3] indexes, two dimension +pub fn (x Mat4) get_f(index_col int, index_row int) f32 { + unsafe { + return x.e[(index_row << 2) + index_col] + } +} + +// Set an element of the matrix using [0..15] indexes, one dimension +pub fn (mut x Mat4) set_e(index int, value f32) { + unsafe { + x.e[index] = value + } +} + +// Set an element of the matrix using [0..3][0..3] indexes, two dimension +pub fn (mut x Mat4) set_f(index_col int, index_row int, value f32) { + unsafe { + x.e[(index_row << 2) + index_col] = value + } +} + +// Copy a matrix elements from another matrix +pub fn (mut x Mat4) copy(y Mat4) { + unsafe { + x.e = [ + y.e[0 ], y.e[1 ], y.e[2 ], y.e[3 ], + y.e[4 ], y.e[5 ], y.e[6 ], y.e[7 ], + y.e[8 ], y.e[9 ], y.e[10], y.e[11], + y.e[12], y.e[13], y.e[14], y.e[15], + ]! + } +} + +// Set the trace of the matrix using a vec4 +pub fn (mut x Mat4) set_trace(v3 Vec4) { + unsafe { + x.e[0 ] = v3.e[0] + x.e[5 ] = v3.e[1] + x.e[10] = v3.e[2] + x.e[15] = v3.e[3] + } +} + +// Get the trace of the matrix +pub fn (x Mat4) get_trace() Vec4 { + unsafe { + return Vec4{ e: [ x.e[0], x.e[5], x.e[10], x.e[15], ]! } + } +} + +// Set all the matrix elements to value +pub fn (mut x Mat4) set_f32(value f32) { + unsafe { + x.e = [ + value, value, value, value, + value, value, value, value, + value, value, value, value, + value, value, value, value, + ]! + } +} + +//------------------------------------- +// Rows/Column access +//------------------------------------- +// Set the row as the input vec4 +[direct_array_access] +[unsafe] +pub fn (mut x Mat4) set_row(row int, v3 Vec4) { + unsafe { + x.e[row * 4 + 0] = v3.e[0] + x.e[row * 4 + 1] = v3.e[1] + x.e[row * 4 + 2] = v3.e[2] + x.e[row * 4 + 3] = v3.e[3] + } +} + +// Get a row from a matrix +[direct_array_access] +[unsafe] +pub fn (x Mat4) get_row(row int) Vec4 { + unsafe { + return Vec4{ + e: [ + x.e[row * 4 + 0], + x.e[row * 4 + 1], + x.e[row * 4 + 2], + x.e[row * 4 + 3], + ]! + } + } +} + +// Set the column as the input vec4 +[direct_array_access] +[unsafe] +pub fn (mut x Mat4) set_col(col int, v3 Vec4) { + unsafe { + x.e[col] = v3.e[0] + x.e[col + 4 ] = v3.e[1] + x.e[col + 8 ] = v3.e[2] + x.e[col + 12] = v3.e[3] + } +} + +// Get a column from a matrix +[direct_array_access] +[unsafe] +pub fn (x Mat4) get_col(col int) Vec4 { + unsafe { + return Vec4{ + e: [ + x.e[col], + x.e[col + 4 ], + x.e[col + 8 ], + x.e[col + 12], + ]! + } + } +} + +// Swap two columns in the matrix +[direct_array_access] +[unsafe] +pub fn (mut x Mat4) swap_col(col1 int, col2 int) { + unsafe { + v0 := x.e[col1] + v1 := x.e[col1 + 4 ] + v2 := x.e[col1 + 8 ] + v3 := x.e[col1 + 12] + + x.e[col1] = x.e[col2] + x.e[col1 + 4 ] = x.e[col2 + 4 ] + x.e[col1 + 8 ] = x.e[col2 + 8 ] + x.e[col1 + 12] = x.e[col2 + 12] + + x.e[col2] = v0 + x.e[col2 + 4 ] = v1 + x.e[col2 + 8 ] = v2 + x.e[col2 + 12] = v3 + } +} + +// Swap two rows in the matrix +[direct_array_access] +[unsafe] +pub fn (mut x Mat4) swap_row(row1 int, row2 int) { + unsafe { + v0 := x.e[row1 * 4 + 0] + v1 := x.e[row1 * 4 + 1] + v2 := x.e[row1 * 4 + 2] + v3 := x.e[row1 * 4 + 3] + + x.e[row1 * 4 + 0] = x.e[row2 * 4 + 0] + x.e[row1 * 4 + 1] = x.e[row2 * 4 + 1] + x.e[row1 * 4 + 2] = x.e[row2 * 4 + 2] + x.e[row1 * 4 + 3] = x.e[row2 * 4 + 3] + + x.e[row2 * 4 + 0] = v0 + x.e[row2 * 4 + 1] = v1 + x.e[row2 * 4 + 2] = v2 + x.e[row2 * 4 + 3] = v3 + } +} + +//------------------------------------- +// Modify data +//------------------------------------- +// Transpose the matrix +pub fn (x Mat4) transpose() Mat4 { + unsafe { + return Mat4{ e: [ + x.e[0 ], x.e[4 ], x.e[8 ], x.e[12], + x.e[1 ], x.e[5 ], x.e[9 ], x.e[13], + x.e[2 ], x.e[6 ], x.e[10], x.e[14], + x.e[3 ], x.e[7 ], x.e[11], x.e[15], + ]! + } + } +} + +// Multiply the all the elements of the matrix by a scalar +pub fn (x Mat4) mul_scalar(s f32) Mat4 { + unsafe { + return Mat4{ e: [ + x.e[0 ] * s, x.e[1 ] * s, x.e[2 ] * s, x.e[3 ] * s, + x.e[4 ] * s, x.e[5 ] * s, x.e[6 ] * s, x.e[7 ] * s, + x.e[8 ] * s, x.e[9 ] * s, x.e[10] * s, x.e[11] * s, + x.e[12] * s, x.e[13] * s, x.e[14] * s, x.e[15] * s, + ]! + } + } +} + +/********************************************************************* +* +* Init/set +* +*********************************************************************/ +// Return a zero matrix +pub fn zero_m4() Mat4 { + return Mat4{ e: [ + f32(0), 0, 0, 0, + 0, 0, 0, 0, + 0, 0, 0, 0, + 0, 0, 0, 0, + ]! + } +} + +// Return a unity matrix +pub fn unit_m4() Mat4 { + return Mat4{ e: [ + f32(1), 0, 0, 0, + 0, 1, 0, 0, + 0, 0, 1, 0, + 0, 0, 0, 1, + ]! + } +} + +// Return a matrix initialized with value +pub fn set_m4(value f32) Mat4 { + return Mat4{ e: [ + value, value, value, value, + value, value, value, value, + value, value, value, value, + value, value, value, value, + ]! + } +} + +/********************************************************************* +* +* Math +* +*********************************************************************/ + +// Sum of matrix, operator + +pub fn (a Mat4) + (b Mat4) Mat4 { + unsafe { + return Mat4{ e: [ + a.e[0 ] + b.e[0 ], a.e[1 ] + b.e[1 ], a.e[2 ] + b.e[2 ], a.e[3 ] + b.e[3 ], + a.e[4 ] + b.e[4 ], a.e[5 ] + b.e[5 ], a.e[6 ] + b.e[6 ], a.e[7 ] + b.e[7 ], + a.e[8 ] + b.e[8 ], a.e[9 ] + b.e[9 ], a.e[10] + b.e[10], a.e[11] + b.e[11], + a.e[12] + b.e[12], a.e[13] + b.e[13], a.e[14] + b.e[14], a.e[15] + b.e[15], + ]! + } + } +} + +// Subtraction of matrix, operator - +pub fn (a Mat4) - (b Mat4) Mat4 { + unsafe { + return Mat4{ e: [ + a.e[0 ] - b.e[0 ], a.e[1 ] - b.e[1 ], a.e[2 ] - b.e[2 ], a.e[3 ] - b.e[3 ], + a.e[4 ] - b.e[4 ], a.e[5 ] - b.e[5 ], a.e[6 ] - b.e[6 ], a.e[7 ] - b.e[7 ], + a.e[8 ] - b.e[8 ], a.e[9 ] - b.e[9 ], a.e[10] - b.e[10], a.e[11] - b.e[11], + a.e[12] - b.e[12], a.e[13] - b.e[13], a.e[14] - b.e[14], a.e[15] - b.e[15], + ]! + } + } +} + +// Multiplication of matrix, operator * +pub fn (a Mat4) * (b Mat4) Mat4 { + unsafe { + return Mat4{ + e: [ + /* [0][0] */ a.f[0][0] * b.f[0][0] + a.f[0][1] * b.f[1][0] + a.f[0][2] * b.f[2][0] + a.f[0][3] * b.f[3][0] + /* [0][1] */, a.f[0][0] * b.f[0][1] + a.f[0][1] * b.f[1][1] + a.f[0][2] * b.f[2][1] + a.f[0][3] * b.f[3][1] + /* [0][2] */, a.f[0][0] * b.f[0][2] + a.f[0][1] * b.f[1][2] + a.f[0][2] * b.f[2][2] + a.f[0][3] * b.f[3][2] + /* [0][3] */, a.f[0][0] * b.f[0][3] + a.f[0][1] * b.f[1][3] + a.f[0][2] * b.f[2][3] + a.f[0][3] * b.f[3][3] + + /* [1][0] */, a.f[1][0] * b.f[0][0] + a.f[1][1] * b.f[1][0] + a.f[1][2] * b.f[2][0] + a.f[1][3] * b.f[3][0] + /* [1][1] */, a.f[1][0] * b.f[0][1] + a.f[1][1] * b.f[1][1] + a.f[1][2] * b.f[2][1] + a.f[1][3] * b.f[3][1] + /* [1][2] */, a.f[1][0] * b.f[0][2] + a.f[1][1] * b.f[1][2] + a.f[1][2] * b.f[2][2] + a.f[1][3] * b.f[3][2] + /* [1][3] */, a.f[1][0] * b.f[0][3] + a.f[1][1] * b.f[1][3] + a.f[1][2] * b.f[2][3] + a.f[1][3] * b.f[3][3] + + /* [2][0] */, a.f[2][0] * b.f[0][0] + a.f[2][1] * b.f[1][0] + a.f[2][2] * b.f[2][0] + a.f[2][3] * b.f[3][0] + /* [2][1] */, a.f[2][0] * b.f[0][1] + a.f[2][1] * b.f[1][1] + a.f[2][2] * b.f[2][1] + a.f[2][3] * b.f[3][1] + /* [2][2] */, a.f[2][0] * b.f[0][2] + a.f[2][1] * b.f[1][2] + a.f[2][2] * b.f[2][2] + a.f[2][3] * b.f[3][2] + /* [2][3] */, a.f[2][0] * b.f[0][3] + a.f[2][1] * b.f[1][3] + a.f[2][2] * b.f[2][3] + a.f[2][3] * b.f[3][3] + + /* [3][0] */, a.f[3][0] * b.f[0][0] + a.f[3][1] * b.f[1][0] + a.f[3][2] * b.f[2][0] + a.f[3][3] * b.f[3][0] + /* [3][1] */, a.f[3][0] * b.f[0][1] + a.f[3][1] * b.f[1][1] + a.f[3][2] * b.f[2][1] + a.f[3][3] * b.f[3][1] + /* [3][2] */, a.f[3][0] * b.f[0][2] + a.f[3][1] * b.f[1][2] + a.f[3][2] * b.f[2][2] + a.f[3][3] * b.f[3][2] + /* [3][3] */, a.f[3][0] * b.f[0][3] + a.f[3][1] * b.f[1][3] + a.f[3][2] * b.f[2][3] + a.f[3][3] * b.f[3][3], + ]! + } + } +} + +// Sum of matrix function +pub fn add(a Mat4, b Mat4) Mat4 { + unsafe { + return a + b + } +} + +// Subtraction of matrix function +pub fn sub(a Mat4, b Mat4) Mat4 { + unsafe { + return a - b + } +} + +// Multiplication of matrix function +pub fn mul(a Mat4, b Mat4) Mat4 { + unsafe { + return a * b + } +} + +// Multiply a Matrix by a vector +pub fn mul_vec(a Mat4, v Vec4) Vec4 { + unsafe { + return Vec4{ e: [ + a.e[0 ] * v.e[0] + a.e[1 ] * v.e[1] + a.e[2 ] * v.e[2] + a.e[3 ] * v.e[3], + a.e[4 ] * v.e[0] + a.e[5 ] * v.e[1] + a.e[6 ] * v.e[2] + a.e[7 ] * v.e[3], + a.e[8 ] * v.e[0] + a.e[9 ] * v.e[1] + a.e[10] * v.e[2] + a.e[11] * v.e[3], + a.e[12] * v.e[0] + a.e[13] * v.e[1] + a.e[14] * v.e[2] + a.e[15] * v.e[3], + ]! + } + } +} + +// Calculate the determinant of the Matrix +pub fn det(x Mat4) f32 { + unsafe { + mut t := [6]f32{} + x00 := x.f[0][0] + x10 := x.f[1][0] + x20 := x.f[2][0] + x30 := x.f[3][0] + x01 := x.f[0][1] + x11 := x.f[1][1] + x21 := x.f[2][1] + x31 := x.f[3][1] + x02 := x.f[0][2] + x12 := x.f[1][2] + x22 := x.f[2][2] + x32 := x.f[3][2] + x03 := x.f[0][3] + x13 := x.f[1][3] + x23 := x.f[2][3] + x33 := x.f[3][3] + + t[0] = x22 * x33 - x23 * x32 + t[1] = x12 * x33 - x13 * x32 + t[2] = x12 * x23 - x13 * x22 + t[3] = x02 * x33 - x03 * x32 + t[4] = x02 * x23 - x03 * x22 + t[5] = x02 * x13 - x03 * x12 + + return 0.0 + + x00 * (x11 * t[0] - x21 * t[1] + x31 * t[2]) - + x10 * (x01 * t[0] - x21 * t[3] + x31 * t[4]) + + x20 * (x01 * t[1] - x11 * t[3] + x31 * t[5]) - + x30 * (x01 * t[2] - x11 * t[4] + x21 * t[5]) + } +} + +// Calculate the inverse of the Matrix +pub fn (x Mat4) inverse() Mat4 { + unsafe { + mut t := [6]f32{} + mut det := f32(0) + + a := x.f[0][0] + b := x.f[1][0] + c := x.f[2][0] + d := x.f[3][0] + e := x.f[0][1] + f := x.f[1][1] + g := x.f[2][1] + h := x.f[3][1] + i := x.f[0][2] + j := x.f[1][2] + k := x.f[2][2] + l := x.f[3][2] + m := x.f[0][3] + n := x.f[1][3] + o := x.f[2][3] + p := x.f[3][3] + + t[0] = k * p - o * l + t[1] = j * p - n * l + t[2] = j * o - n * k + t[3] = i * p - m * l + t[4] = i * o - m * k + t[5] = i * n - m * j + + mut dest := Mat4{} + dest.f[0][0] = f * t[0] - g * t[1] + h * t[2] + dest.f[0][1] = -(e * t[0] - g * t[3] + h * t[4]) + dest.f[0][2] = e * t[1] - f * t[3] + h * t[5] + dest.f[0][3] = -(e * t[2] - f * t[4] + g * t[5]) + + dest.f[1][0] = -(b * t[0] - c * t[1] + d * t[2]) + dest.f[1][1] = a * t[0] - c * t[3] + d * t[4] + dest.f[1][2] = -(a * t[1] - b * t[3] + d * t[5]) + dest.f[1][3] = a * t[2] - b * t[4] + c * t[5] + + t[0] = g * p - o * h + t[1] = f * p - n * h + t[2] = f * o - n * g + t[3] = e * p - m * h + t[4] = e * o - m * g + t[5] = e * n - m * f + + dest.f[2][0] = b * t[0] - c * t[1] + d * t[2] + dest.f[2][1] = -(a * t[0] - c * t[3] + d * t[4]) + dest.f[2][2] = a * t[1] - b * t[3] + d * t[5] + dest.f[2][3] = -(a * t[2] - b * t[4] + c * t[5]) + + t[0] = g * l - k * h + t[1] = f * l - j * h + t[2] = f * k - j * g + t[3] = e * l - i * h + t[4] = e * k - i * g + t[5] = e * j - i * f + + dest.f[3][0] = -(b * t[0] - c * t[1] + d * t[2]) + dest.f[3][1] = a * t[0] - c * t[3] + d * t[4] + dest.f[3][2] = -(a * t[1] - b * t[3] + d * t[5]) + dest.f[3][3] = a * t[2] - b * t[4] + c * t[5] + + tmp := (a * dest.f[0][0] + b * dest.f[0][1] + c * dest.f[0][2] + d * dest.f[0][3]) + if tmp != 0 { + det = f32(1.0) / tmp + } + return dest.mul_scalar(det) + } +} + +/********************************************************************* +* +* Transformations +* +*********************************************************************/ + +// Get a rotation matrix using w as rotation axis vector, the angle is in radians +pub fn rotate(angle f32, w Vec4) Mat4 { + cs := f32(math.cos(angle)) + sn := f32(math.sin(angle)) + cv := f32(1.0) - cs + axis := w.normalize3() + unsafe { + ax := axis.e[0] + ay := axis.e[1] + az := axis.e[2] + + return Mat4{ e: [ + /* [0][0] */ (ax * ax * cv) + cs + /* [0][1] */, (ax * ay * cv) + az * sn + /* [0][2] */, (ax * az * cv) - ay * sn + /* [0][3] */, 0 + + /* [1][0] */, (ay * ax * cv) - az * sn + /* [1][1] */, (ay * ay * cv) + cs + /* [1][2] */, (ay * az * cv) + ax * sn + /* [1][3] */, 0 + + /* [2][0] */, (az * ax * cv) + ay * sn + /* [2][1] */, (az * ay * cv) - ax * sn + /* [2][2] */, (az * az * cv) + cs + /* [2][3] */, 0 + + /* [3][0] */, 0 + /* [3][1] */, 0 + /* [3][2] */, 0 + /* [3][3] */, 1, + ]! + } + } +} + +/********************************************************************* +* +* Graphic +* +*********************************************************************/ +// Get a matrix translated by a vector w +pub fn (x Mat4) translate(w Vec4) Mat4 { + unsafe { + return Mat4{ e: [ + x.e[0], x.e[1], x.e[2 ], x.e[3 ] , + x.e[4], x.e[5], x.e[6 ], x.e[7 ] , + x.e[8], x.e[9], x.e[10], x.e[11] , + x.e[12] + w.e[0], x.e[13] + w.e[1], x.e[14] + w.e[2], x.e[15], + ]! + } + } +} + +// Get a scale matrix, the scale vector is w, only xyz are evaluated. +pub fn scale(w Vec4) Mat4 { + unsafe { + return Mat4{ e: [ + w.e[0], 0, 0, 0, + 0, w.e[1], 0, 0, + 0, 0, w.e[2], 0, + 0, 0, 0, 1, + ]! + } + } +} diff --git a/v_windows/v/old/vlib/gg/m4/vector.v b/v_windows/v/old/vlib/gg/m4/vector.v new file mode 100644 index 0000000..52e4c78 --- /dev/null +++ b/v_windows/v/old/vlib/gg/m4/vector.v @@ -0,0 +1,230 @@ +/********************************************************************** +* +* Simply vector/matrix utility +* +* Copyright (c) 2021 Dario Deledda. All rights reserved. +* Use of this source code is governed by an MIT license +* that can be found in the LICENSE file. +* +* TODO: +**********************************************************************/ +module m4 + +import math + +pub struct Vec4 { +pub mut: + e [4]f32 +} + +/********************************************************************* +* +* Utility +* +*********************************************************************/ +pub fn (x Vec4) str() string { + return '|${x.e[0]:-6.3},${x.e[1]:-6.3},${x.e[2]:-6.3},${x.e[3]:-6.3}|' +} + +// create a Vec4 function passing x,y,z as parameteres. w is set to 1 +pub fn vec3(x f32, y f32, z f32) Vec4 { + return Vec4{ + e: [x, y, z, 1]! + } +} + +// Remove all the raw zeros +[direct_array_access] +pub fn (a Vec4) clean() Vec4 { + mut x := Vec4{} + for c, value in a.e { + if f32_abs(value) < precision { + x.e[c] = 0 + } else { + x.e[c] = value + } + } + return x +} + +// Set all elements to value +pub fn (mut x Vec4) copy(value f32) { + x.e = [value, value, value, value]! +} + +// Scale the vector using a scalar +pub fn (x Vec4) mul_scalar(value f32) Vec4 { + return Vec4{ + e: [x.e[0] * value, x.e[1] * value, x.e[2] * value, x.e[3] * value]! + } +} + +// Reciprocal of the vector +pub fn (x Vec4) inv() Vec4 { + return Vec4{ + e: [ + if x.e[0] != 0 { 1.0 / x.e[0] } else { f32(0) }, + if x.e[1] != 0 { 1.0 / x.e[1] } else { f32(0) }, + if x.e[2] != 0 { 1.0 / x.e[2] } else { f32(0) }, + if x.e[3] != 0 { 1.0 / x.e[3] } else { f32(0) }, + ]! + } +} + +// Normalize the vector +pub fn (x Vec4) normalize() Vec4 { + m := x.mod() + if m == 0 { + return zero_v4() + } + return Vec4{ + e: [ + x.e[0] * (1 / m), + x.e[1] * (1 / m), + x.e[2] * (1 / m), + x.e[3] * (1 / m), + ]! + } +} + +// Normalize only xyz, w set to 0 +pub fn (x Vec4) normalize3() Vec4 { + m := x.mod3() + if m == 0 { + return zero_v4() + } + return Vec4{ + e: [ + x.e[0] * (1 / m), + x.e[1] * (1 / m), + x.e[2] * (1 / m), + 0, + ]! + } +} + +// Module of the vector xyzw +pub fn (x Vec4) mod() f32 { + return f32(math.sqrt(x.e[0] * x.e[0] + x.e[1] * x.e[1] + x.e[2] * x.e[2] + x.e[3] * x.e[3])) +} + +// Module for 3d vector xyz, w ignored +pub fn (x Vec4) mod3() f32 { + return f32(math.sqrt(x.e[0] * x.e[0] + x.e[1] * x.e[1] + x.e[2] * x.e[2])) +} + +/********************************************************************* +* +* Math +* +*********************************************************************/ +// Return a zero vector +pub fn zero_v4() Vec4 { + return Vec4{ + e: [ + f32(0), + 0, + 0, + 0, + ]! + } +} + +// Return all one vector +pub fn one_v4() Vec4 { + return Vec4{ + e: [ + f32(1), + 1, + 1, + 1, + ]! + } +} + +// Return a blank vector +pub fn blank_v4() Vec4 { + return Vec4{ + e: [ + f32(0), + 0, + 0, + 1, + ]! + } +} + +// Set all elements to value +pub fn set_v4(value f32) Vec4 { + return Vec4{ + e: [ + value, + value, + value, + value, + ]! + } +} + +// Sum of all the elements +pub fn (x Vec4) sum() f32 { + return x.e[0] + x.e[1] + x.e[2] + x.e[3] +} + +/********************************************************************* +* +* Operators +* +*********************************************************************/ +// Addition +pub fn (a Vec4) + (b Vec4) Vec4 { + return Vec4{ + e: [ + a.e[0] + b.e[0], + a.e[1] + b.e[1], + a.e[2] + b.e[2], + a.e[3] + b.e[3], + ]! + } +} + +// Subtraction +pub fn (a Vec4) - (b Vec4) Vec4 { + return Vec4{ + e: [ + a.e[0] - b.e[0], + a.e[1] - b.e[1], + a.e[2] - b.e[2], + a.e[3] - b.e[3], + ]! + } +} + +// Dot product +pub fn (a Vec4) * (b Vec4) f32 { + return a.e[0] * b.e[0] + a.e[1] * b.e[1] + a.e[2] * b.e[2] + a.e[3] * b.e[3] +} + +// Cross product +pub fn (a Vec4) % (b Vec4) Vec4 { + return Vec4{ + e: [ + (a.e[1] * b.e[2]) - (a.e[2] * b.e[1]), + (a.e[2] * b.e[0]) - (a.e[0] * b.e[2]), + (a.e[0] * b.e[1]) - (a.e[1] * b.e[0]), + 0, + ]! + } +} + +// Components multiplication +pub fn (x Vec4) mul_vec4(y Vec4) Vec4 { + return Vec4{ + e: [ + x.e[0] * y.e[0], + x.e[1] * y.e[1], + x.e[2] * y.e[2], + x.e[3] * y.e[3], + ]! + } +} -- cgit v1.2.3