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comparison src/zamikongine/math/matrix.nim @ 483:73a0954beabd

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did: improve alotof_triangles example, remove glslang lib, use only binary, easier cross-compilation
author Sam <sam@basx.dev>
date Wed, 11 Jan 2023 00:43:17 +0700
parents 14e5151f68d1
children b4a972bd37d5
comparison
equal deleted inserted replaced
482:1670f8e70964 483:73a0954beabd
337 m[0, 1], m[1, 1], m[2, 1], m[3, 1], 337 m[0, 1], m[1, 1], m[2, 1], m[3, 1],
338 m[0, 2], m[1, 2], m[2, 2], m[3, 2], 338 m[0, 2], m[1, 2], m[2, 2], m[3, 2],
339 m[0, 3], m[1, 3], m[2, 3], m[3, 3], 339 m[0, 3], m[1, 3], m[2, 3], m[3, 3],
340 ]) 340 ])
341 341
342 func translate2d*[T](x, y: T): Mat33[T] = Mat33[T](data: [
343 T(1), T(0), x,
344 T(0), T(1), y,
345 T(0), T(0), T(1),
346 ])
347 func scale2d*[T](sx, sy: T): Mat33[T] = Mat33[T](data: [
348 sx, T(0), T(0),
349 T(0), sy, T(0),
350 T(0), T(0), T(1),
351 ])
352 func rotate2d*[T](angle: T): Mat33[T] = Mat33[T](data: [
353 cos(angle), -sin(angle), T(0),
354 sin(angle), cos(angle), T(0),
355 T(0), T(0), T(1),
356 ])
357 func translate3d*[T](x, y, z: T): Mat44[T] = Mat44[T](data: [
358 T(1), T(0), T(0), x,
359 T(0), T(1), T(0), y,
360 T(0), T(0), T(1), z,
361 T(0), T(0), T(0), T(1),
362 ])
363 func scale3d*[T](sx, sy, sz: T): Mat44[T] = Mat44[T](data: [
364 sx, T(0), T(0), T(0),
365 T(0), sy, T(0), T(0),
366 T(0), T(0), sz, T(0),
367 T(0), T(0), T(0), T(1),
368 ])
369 func rotate3d*[T](angle: T, a: Vec3[T]): Mat44[T] =
370 let
371 cosa = cos(angle)
372 sina = sin(angle)
373 x = a.x
374 y = a.y
375 z = a.z
376 Mat44[T](data: [
377 x * x * (1 - cosa) + cosa, y * x * (1 - cosa) - z * sina, z * x * (1 - cosa) + y * sina, T(0),
378 x * y * (1 - cosa) + z * sina, y * y * (1 - cosa) + cosa, z * y * (1 - cosa) - x * sina, T(0),
379 x * z * (1 - cosa) - y * sina, y * z * (1 - cosa) + x * sina, z * z * (1 - cosa) + cosa, T(0),
380 T(0), T(0), T(0), 1,
381 ])
382
383
342 # call e.g. Mat32[int]().randomized() to get a random matrix 384 # call e.g. Mat32[int]().randomized() to get a random matrix
343 template makeRandomInit(mattype: typedesc) = 385 template makeRandomInit(mattype: typedesc) =
344 proc randomized*[T: SomeInteger](m: mattype[T]): mattype[T] = 386 proc randomized*[T: SomeInteger](m: mattype[T]): mattype[T] =
345 for i in 0 ..< result.data.len: 387 for i in 0 ..< result.data.len:
346 result.data[i] = rand(low(typeof(m.data[0])) .. high(typeof(m.data[0]))) 388 result.data[i] = rand(low(typeof(m.data[0])) .. high(typeof(m.data[0])))